%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU168+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 : n002.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 12:47:32 PM UTC 2026
% Result : Theorem 8.96s 2.27s
% Output : Refutation 9.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 74 ( 6 unt; 2 def)
% Number of atoms : 322 ( 10 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 404 ( 156 ~; 148 |; 85 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-2 aty)
% Number of variables : 182 ( 152 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( X1 = powerset(X0)
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f6,conjecture,
! [X0] :
? [X1] :
( in(X0,X1)
& ! [X2,X3] :
( ( in(X2,X1)
& subset(X3,X2) )
=> in(X3,X1) )
& ! [X2] :
( in(X2,X1)
=> in(powerset(X2),X1) )
& ! [X2] :
~ ( subset(X2,X1)
& ~ are_equipotent(X2,X1)
& ~ in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t136_zfmisc_1) ).
fof(f7,negated_conjecture,
~ ! [X0] :
? [X1] :
( in(X0,X1)
& ! [X2,X3] :
( ( in(X2,X1)
& subset(X3,X2) )
=> in(X3,X1) )
& ! [X2] :
( in(X2,X1)
=> in(powerset(X2),X1) )
& ! [X2] :
~ ( subset(X2,X1)
& ~ are_equipotent(X2,X1)
& ~ in(X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,axiom,
! [X0] :
? [X1] :
( in(X0,X1)
& ! [X2,X3] :
( ( in(X2,X1)
& subset(X3,X2) )
=> in(X3,X1) )
& ! [X2] :
~ ( in(X2,X1)
& ! [X3] :
~ ( in(X3,X1)
& ! [X4] :
( subset(X4,X2)
=> in(X4,X3) ) ) )
& ! [X2] :
~ ( subset(X2,X1)
& ~ are_equipotent(X2,X1)
& ~ in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_tarski) ).
fof(f10,plain,
~ ! [X0] :
? [X1] :
( in(X0,X1)
& ! [X2,X3] :
( ( in(X2,X1)
& subset(X3,X2) )
=> in(X3,X1) )
& ! [X4] :
( in(X4,X1)
=> in(powerset(X4),X1) )
& ! [X5] :
~ ( subset(X5,X1)
& ~ are_equipotent(X5,X1)
& ~ in(X5,X1) ) ),
inference(rectify,[],[f7]) ).
fof(f11,plain,
! [X0] :
? [X1] :
( in(X0,X1)
& ! [X2,X3] :
( ( in(X2,X1)
& subset(X3,X2) )
=> in(X3,X1) )
& ! [X4] :
~ ( in(X4,X1)
& ! [X5] :
~ ( in(X5,X1)
& ! [X6] :
( subset(X6,X4)
=> in(X6,X5) ) ) )
& ! [X7] :
~ ( subset(X7,X1)
& ~ are_equipotent(X7,X1)
& ~ in(X7,X1) ) ),
inference(rectify,[],[f8]) ).
fof(f13,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f14,plain,
? [X0] :
! [X1] :
( ~ in(X0,X1)
| ? [X2,X3] :
( ~ in(X3,X1)
& in(X2,X1)
& subset(X3,X2) )
| ? [X4] :
( ~ in(powerset(X4),X1)
& in(X4,X1) )
| ? [X5] :
( subset(X5,X1)
& ~ are_equipotent(X5,X1)
& ~ in(X5,X1) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f15,plain,
? [X0] :
! [X1] :
( ~ in(X0,X1)
| ? [X2,X3] :
( ~ in(X3,X1)
& in(X2,X1)
& subset(X3,X2) )
| ? [X4] :
( ~ in(powerset(X4),X1)
& in(X4,X1) )
| ? [X5] :
( subset(X5,X1)
& ~ are_equipotent(X5,X1)
& ~ in(X5,X1) ) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0] :
? [X1] :
( in(X0,X1)
& ! [X2,X3] :
( in(X3,X1)
| ~ in(X2,X1)
| ~ subset(X3,X2) )
& ! [X4] :
( ~ in(X4,X1)
| ? [X5] :
( in(X5,X1)
& ! [X6] :
( in(X6,X5)
| ~ subset(X6,X4) ) ) )
& ! [X7] :
( ~ subset(X7,X1)
| are_equipotent(X7,X1)
| in(X7,X1) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f17,plain,
! [X0] :
? [X1] :
( in(X0,X1)
& ! [X2,X3] :
( in(X3,X1)
| ~ in(X2,X1)
| ~ subset(X3,X2) )
& ! [X4] :
( ~ in(X4,X1)
| ? [X5] :
( in(X5,X1)
& ! [X6] :
( in(X6,X5)
| ~ subset(X6,X4) ) ) )
& ! [X7] :
( ~ subset(X7,X1)
| are_equipotent(X7,X1)
| in(X7,X1) ) ),
inference(flattening,[],[f16]) ).
fof(f18,definition,
! [X1] :
( ? [X5] :
( subset(X5,X1)
& ~ are_equipotent(X5,X1)
& ~ in(X5,X1) )
| ~ sP0(X1) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f19,plain,
? [X0] :
! [X1] :
( ~ in(X0,X1)
| ? [X2,X3] :
( ~ in(X3,X1)
& in(X2,X1)
& subset(X3,X2) )
| ? [X4] :
( ~ in(powerset(X4),X1)
& in(X4,X1) )
| sP0(X1) ),
inference(definition_folding,[],[f15,f18]) ).
fof(f20,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(rectify,[],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ( ( ~ subset(sK1(X0,X1),X0)
| ~ in(sK1(X0,X1),X1) )
& ( subset(sK1(X0,X1),X0)
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f21]) ).
fof(f23,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,[],[f13]) ).
fof(f24,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,[],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f24]) ).
fof(f26,plain,
! [X1] :
( ? [X5] :
( subset(X5,X1)
& ~ are_equipotent(X5,X1)
& ~ in(X5,X1) )
| ~ sP0(X1) ),
inference(nnf_transformation,[],[f18]) ).
fof(f27,plain,
! [X0] :
( ? [X1] :
( subset(X1,X0)
& ~ are_equipotent(X1,X0)
& ~ in(X1,X0) )
| ~ sP0(X0) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X0] :
( ( subset(sK3(X0),X0)
& ~ are_equipotent(sK3(X0),X0)
& ~ in(sK3(X0),X0) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f27]) ).
fof(f29,plain,
! [X1] :
( ~ in(sK4,X1)
| ( ~ in(sK6(X1),X1)
& in(sK5(X1),X1)
& subset(sK6(X1),sK5(X1)) )
| ( ~ in(powerset(sK7(X1)),X1)
& in(sK7(X1),X1) )
| sP0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X0,sK4),skolemize(X2,sK5(X1)),skolemize(X3,sK6(X1)),skolemize(X4,sK7(X1))],[f19]) ).
fof(f30,plain,
! [X0] :
( in(X0,sK8(X0))
& ! [X2,X3] :
( in(X3,sK8(X0))
| ~ in(X2,sK8(X0))
| ~ subset(X3,X2) )
& ! [X4] :
( ~ in(X4,sK8(X0))
| ( in(sK9(X0,X4),sK8(X0))
& ! [X6] :
( in(X6,sK9(X0,X4))
| ~ subset(X6,X4) ) ) )
& ! [X7] :
( ~ subset(X7,sK8(X0))
| are_equipotent(X7,sK8(X0))
| in(X7,sK8(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X1,sK8(X0)),skolemize(X5,sK9(X0,X4))],[f17]) ).
fof(f32,plain,
! [X3,X0,X1] :
( subset(X3,X0)
| ~ in(X3,X1)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0,X1] :
( in(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f38,plain,
! [X0,X1] :
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f40,plain,
! [X0] :
( ~ in(sK3(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f41,plain,
! [X0] :
( ~ are_equipotent(sK3(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f42,plain,
! [X0] :
( subset(sK3(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f43,plain,
! [X1] :
( subset(sK6(X1),sK5(X1))
| ~ in(sK4,X1)
| in(sK7(X1),X1)
| sP0(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f44,plain,
! [X1] :
( ~ in(sK4,X1)
| subset(sK6(X1),sK5(X1))
| ~ in(powerset(sK7(X1)),X1)
| sP0(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f45,plain,
! [X1] :
( in(sK7(X1),X1)
| in(sK5(X1),X1)
| ~ in(sK4,X1)
| sP0(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f46,plain,
! [X1] :
( ~ in(sK4,X1)
| in(sK5(X1),X1)
| ~ in(powerset(sK7(X1)),X1)
| sP0(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f47,plain,
! [X1] :
( ~ in(sK6(X1),X1)
| ~ in(sK4,X1)
| in(sK7(X1),X1)
| sP0(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f48,plain,
! [X1] :
( ~ in(sK4,X1)
| ~ in(sK6(X1),X1)
| ~ in(powerset(sK7(X1)),X1)
| sP0(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f49,plain,
! [X0,X7] :
( ~ subset(X7,sK8(X0))
| are_equipotent(X7,sK8(X0))
| in(X7,sK8(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f50,plain,
! [X0,X6,X4] :
( in(X6,sK9(X0,X4))
| ~ in(X4,sK8(X0))
| ~ subset(X6,X4) ),
inference(cnf_transformation,[],[f30]) ).
fof(f51,plain,
! [X0,X4] :
( in(sK9(X0,X4),sK8(X0))
| ~ in(X4,sK8(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f52,plain,
! [X2,X3,X0] :
( ~ in(X2,sK8(X0))
| in(X3,sK8(X0))
| ~ subset(X3,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f53,plain,
! [X0] : in(X0,sK8(X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f55,plain,
! [X3,X0] :
( ~ in(X3,powerset(X0))
| subset(X3,X0) ),
inference(equality_resolution,[],[f32]) ).
fof(f56,definition,
! [X1] : sF10(X1) = powerset(sK7(X1)),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f57,plain,
! [X1] : powerset(sK7(X1)) = sF10(X1),
inference(reorient_equations,[],[f56]) ).
fof(f58,plain,
! [X1] :
( ~ in(sF10(X1),X1)
| ~ in(sK6(X1),X1)
| ~ in(sK4,X1)
| sP0(X1) ),
inference(definition_folding,[],[f48,f57]) ).
fof(f59,plain,
! [X1] :
( ~ in(sF10(X1),X1)
| in(sK5(X1),X1)
| ~ in(sK4,X1)
| sP0(X1) ),
inference(definition_folding,[],[f46,f57]) ).
fof(f60,plain,
! [X1] :
( subset(sK6(X1),sK5(X1))
| ~ in(sK4,X1)
| ~ in(sF10(X1),X1)
| sP0(X1) ),
inference(definition_folding,[],[f44,f57]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ subset(X2,sK9(X1,X0))
| in(X2,sK8(X1))
| ~ in(X0,sK8(X1)) ),
inference(resolution,[],[f51,f52]) ).
fof(f75,plain,
! [X0,X1] :
( subset(sK2(powerset(X0),X1),X0)
| subset(powerset(X0),X1) ),
inference(resolution,[],[f55,f37]) ).
fof(f79,plain,
! [X0] :
( are_equipotent(sK3(sK8(X0)),sK8(X0))
| in(sK3(sK8(X0)),sK8(X0))
| ~ sP0(sK8(X0)) ),
inference(resolution,[],[f49,f42]) ).
fof(f80,plain,
! [X0] :
( in(sK3(sK8(X0)),sK8(X0))
| ~ sP0(sK8(X0)) ),
inference(forward_subsumption_resolution,[],[f79,f41]) ).
fof(f81,plain,
! [X0] : ~ sP0(sK8(X0)),
inference(forward_subsumption_resolution,[],[f80,f40]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ subset(sK2(X2,sK9(X1,X0)),X0)
| ~ in(X0,sK8(X1))
| subset(X2,sK9(X1,X0)) ),
inference(resolution,[],[f50,f38]) ).
fof(f108,plain,
! [X0,X1] :
( subset(powerset(X0),sK9(X1,X0))
| ~ in(X0,sK8(X1))
| subset(powerset(X0),sK9(X1,X0)) ),
inference(resolution,[],[f75,f102]) ).
fof(f116,plain,
! [X0,X1] :
( subset(powerset(X0),sK9(X1,X0))
| ~ in(X0,sK8(X1)) ),
inference(duplicate_literal_removal,[],[f108]) ).
fof(f147,plain,
! [X0,X1] :
( ~ in(X0,sK8(X1))
| in(powerset(X0),sK8(X1))
| ~ in(X0,sK8(X1)) ),
inference(resolution,[],[f116,f64]) ).
fof(f150,plain,
! [X0,X1] :
( in(powerset(X0),sK8(X1))
| ~ in(X0,sK8(X1)) ),
inference(duplicate_literal_removal,[],[f147]) ).
fof(f153,plain,
! [X0,X1] :
( ~ in(sK7(X0),sK8(X1))
| in(sF10(X0),sK8(X1)) ),
inference(superposition,[],[f150,f57]) ).
fof(f203,plain,
! [X0] :
( in(sF10(sK8(X0)),sK8(X0))
| in(sK5(sK8(X0)),sK8(X0))
| ~ in(sK4,sK8(X0))
| sP0(sK8(X0)) ),
inference(resolution,[],[f153,f45]) ).
fof(f206,plain,
! [X0] :
( in(sK5(sK8(X0)),sK8(X0))
| ~ in(sK4,sK8(X0))
| sP0(sK8(X0)) ),
inference(forward_subsumption_resolution,[],[f203,f59]) ).
fof(f207,plain,
! [X0] :
( in(sK5(sK8(X0)),sK8(X0))
| ~ in(sK4,sK8(X0)) ),
inference(forward_subsumption_resolution,[],[f206,f81]) ).
fof(f208,plain,
! [X0,X1] :
( ~ subset(X1,sK5(sK8(X0)))
| in(X1,sK8(X0))
| ~ in(sK4,sK8(X0)) ),
inference(resolution,[],[f207,f52]) ).
fof(f213,plain,
! [X0] :
( in(sK6(sK8(X0)),sK8(X0))
| ~ in(sK4,sK8(X0))
| ~ in(sK4,sK8(X0))
| ~ in(sF10(sK8(X0)),sK8(X0))
| sP0(sK8(X0)) ),
inference(resolution,[],[f208,f60]) ).
fof(f214,plain,
! [X0] :
( in(sK6(sK8(X0)),sK8(X0))
| ~ in(sK4,sK8(X0))
| ~ in(sK4,sK8(X0))
| in(sK7(sK8(X0)),sK8(X0))
| sP0(sK8(X0)) ),
inference(resolution,[],[f208,f43]) ).
fof(f215,plain,
! [X0] :
( in(sK6(sK8(X0)),sK8(X0))
| ~ in(sK4,sK8(X0))
| in(sK7(sK8(X0)),sK8(X0))
| sP0(sK8(X0)) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f216,plain,
! [X0] :
( in(sK6(sK8(X0)),sK8(X0))
| ~ in(sK4,sK8(X0))
| ~ in(sF10(sK8(X0)),sK8(X0))
| sP0(sK8(X0)) ),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f217,plain,
! [X0] :
( ~ in(sK4,sK8(X0))
| in(sK7(sK8(X0)),sK8(X0))
| sP0(sK8(X0)) ),
inference(forward_subsumption_resolution,[],[f215,f47]) ).
fof(f218,plain,
! [X0] :
( ~ in(sK4,sK8(X0))
| ~ in(sF10(sK8(X0)),sK8(X0))
| sP0(sK8(X0)) ),
inference(forward_subsumption_resolution,[],[f216,f58]) ).
fof(f219,plain,
! [X0] :
( in(sK7(sK8(X0)),sK8(X0))
| ~ in(sK4,sK8(X0)) ),
inference(forward_subsumption_resolution,[],[f217,f81]) ).
fof(f220,plain,
! [X0] :
( ~ in(sF10(sK8(X0)),sK8(X0))
| ~ in(sK4,sK8(X0)) ),
inference(forward_subsumption_resolution,[],[f218,f81]) ).
fof(f222,plain,
! [X0] :
( ~ in(sK4,sK8(X0))
| in(sF10(sK8(X0)),sK8(X0)) ),
inference(resolution,[],[f219,f153]) ).
fof(f225,plain,
! [X0] : ~ in(sK4,sK8(X0)),
inference(forward_subsumption_resolution,[],[f222,f220]) ).
fof(f226,plain,
$false,
inference(resolution,[],[f225,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU168+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n002.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 03:54:37 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 8.96/2.27 % (4131913)Detected formulas, will run a generic FOF schedule.
% 8.96/2.27 % (4131941)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=3689306303:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.96/2.27 % (4131943)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=3628758767:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.96/2.27 % (4131945)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2433646141:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.96/2.27 % (4131946)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4268513523:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.96/2.27 % (4131944)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4049684301:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.96/2.27 % (4131947)dis-21_1_sil=8000:lcm=predicate:random_seed=1539926035: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)
% 8.96/2.27 % (4131942)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=808352282:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.96/2.27 % (4131944)Instruction limit reached!
% 8.96/2.27 % (4131944)------------------------------
% 8.96/2.27 % (4131944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.27 % (4131944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.27 % (4131944)CaDiCaL version: 2.1.3
% 8.96/2.27 % (4131944)Termination reason: Instruction limit
% 8.96/2.27 % (4131944)Termination phase: Saturation
% 8.96/2.27 % (4131944)Time elapsed: 0.077 s
% 8.96/2.27 % (4131944)Peak memory usage: 88 MB
% 8.96/2.27 % (4131944)Instructions burned: 110 (million)
% 8.96/2.27 % (4131945)Instruction limit reached!
% 8.96/2.27 % (4131945)------------------------------
% 8.96/2.27 % (4131945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.27 % (4131945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.27 % (4131945)CaDiCaL version: 2.1.3
% 8.96/2.27 % (4131945)Termination reason: Instruction limit
% 8.96/2.27 % (4131945)Termination phase: Saturation
% 8.96/2.27 % (4131945)Time elapsed: 0.094 s
% 8.96/2.27 % (4131945)Peak memory usage: 88 MB
% 8.96/2.27 % (4131945)Instructions burned: 120 (million)
% 8.96/2.27 % (4131947)Instruction limit reached!
% 8.96/2.27 % (4131947)------------------------------
% 8.96/2.27 % (4131947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.27 % (4131947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.27 % (4131947)CaDiCaL version: 2.1.3
% 8.96/2.27 % (4131947)Termination reason: Instruction limit
% 8.96/2.27 % (4131947)Termination phase: Saturation
% 8.96/2.27 % (4131947)Time elapsed: 0.113 s
% 8.96/2.27 % (4131947)Peak memory usage: 88 MB
% 8.96/2.27 % (4131947)Instructions burned: 129 (million)
% 8.96/2.27 % (4131946)Instruction limit reached!
% 8.96/2.27 % (4131946)------------------------------
% 8.96/2.27 % (4131946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.27 % (4131946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.27 % (4131946)CaDiCaL version: 2.1.3
% 8.96/2.27 % (4131946)Termination reason: Instruction limit
% 8.96/2.27 % (4131946)Termination phase: Saturation
% 8.96/2.27 % (4131946)Time elapsed: 0.158 s
% 8.96/2.27 % (4131946)Peak memory usage: 90 MB
% 8.96/2.27 % (4131946)Instructions burned: 140 (million)
% 8.96/2.27 % (4131960)lrs+10_1_sil=8000:sp=occurrence:random_seed=625980667:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.96/2.27 % (4131961)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3906115664:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 8.96/2.27 % (4131962)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2610081500:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 8.96/2.27 % (4131966)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=3441764946:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.96/2.27 % (4131961)Instruction limit reached!
% 8.96/2.27 % (4131961)------------------------------
% 8.96/2.27 % (4131961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.27 % (4131961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.27 % (4131961)CaDiCaL version: 2.1.3
% 8.96/2.27 % (4131961)Termination reason: Instruction limit
% 8.96/2.27 % (4131961)Termination phase: Saturation
% 8.96/2.27 % (4131961)Time elapsed: 0.159 s
% 8.96/2.27 % (4131961)Peak memory usage: 90 MB
% 8.96/2.27 % (4131961)Instructions burned: 157 (million)
% 8.96/2.27 % (4131960)Instruction limit reached!
% 8.96/2.27 % (4131960)------------------------------
% 8.96/2.27 % (4131960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.27 % (4131960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.27 % (4131960)CaDiCaL version: 2.1.3
% 8.96/2.27 % (4131960)Termination reason: Instruction limit
% 8.96/2.27 % (4131960)Termination phase: Saturation
% 8.96/2.27 % (4131960)Time elapsed: 0.227 s
% 8.96/2.27 % (4131960)Peak memory usage: 91 MB
% 8.96/2.27 % (4131960)Instructions burned: 285 (million)
% 8.96/2.27 % (4131966)Instruction limit reached!
% 8.96/2.27 % (4131966)------------------------------
% 8.96/2.27 % (4131966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.27 % (4131966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.27 % (4131966)CaDiCaL version: 2.1.3
% 8.96/2.27 % (4131966)Termination reason: Instruction limit
% 8.96/2.27 % (4131966)Termination phase: Saturation
% 8.96/2.27 % (4131966)Time elapsed: 0.260 s
% 8.96/2.27 % (4131966)Peak memory usage: 91 MB
% 8.96/2.27 % (4131966)Instructions burned: 248 (million)
% 8.96/2.27 % (4131977)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=86772091:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 8.96/2.27 % (4131976)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2583578058:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 8.96/2.27 % (4131962)Instruction limit reached!
% 8.96/2.27 % (4131962)------------------------------
% 8.96/2.27 % (4131962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.27 % (4131962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.27 % (4131962)CaDiCaL version: 2.1.3
% 8.96/2.27 % (4131962)Termination reason: Instruction limit
% 8.96/2.27 % (4131962)Termination phase: Saturation
% 8.96/2.27 % (4131962)Time elapsed: 0.367 s
% 8.96/2.27 % (4131962)Peak memory usage: 92 MB
% 8.96/2.27 % (4131962)Instructions burned: 325 (million)
% 8.96/2.27 % (4131980)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2943053585:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 8.96/2.27 % (4131941)First to succeed.
% 8.96/2.27 % (4131941)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4131913"
% 8.96/2.27 % (4131983)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3864227162:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 8.96/2.27 % (4131980)Instruction limit reached!
% 8.96/2.27 % (4131980)------------------------------
% 8.96/2.27 % (4131980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.27 % (4131980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.27 % (4131980)CaDiCaL version: 2.1.3
% 8.96/2.27 % (4131980)Termination reason: Instruction limit
% 8.96/2.27 % (4131980)Termination phase: Saturation
% 8.96/2.27 % (4131980)Time elapsed: 0.071 s
% 8.96/2.27 % (4131980)Peak memory usage: 88 MB
% 8.96/2.27 % (4131980)Instructions burned: 114 (million)
% 8.96/2.27 % (4131942)Also succeeded, but the first one will report.
% 8.96/2.27 % (4131976)Instruction limit reached!
% 8.96/2.27 % (4131976)------------------------------
% 8.96/2.27 % (4131976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.27 % (4131976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.27 % (4131976)CaDiCaL version: 2.1.3
% 8.96/2.27 % (4131976)Termination reason: Instruction limit
% 8.96/2.27 % (4131976)Termination phase: Saturation
% 8.96/2.27 % (4131976)Time elapsed: 0.233 s
% 8.96/2.27 % (4131976)Peak memory usage: 89 MB
% 8.96/2.27 % (4131976)Instructions burned: 294 (million)
% 8.96/2.27 % (4131983)Instruction limit reached!
% 8.96/2.27 % (4131983)------------------------------
% 8.96/2.27 % (4131983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.27 % (4131983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.27 % (4131983)CaDiCaL version: 2.1.3
% 8.96/2.27 % (4131983)Termination reason: Instruction limit
% 8.96/2.27 % (4131983)Termination phase: Saturation
% 8.96/2.27 % (4131983)Time elapsed: 0.076 s
% 8.96/2.27 % (4131983)Peak memory usage: 89 MB
% 8.96/2.27 % (4131983)Instructions burned: 128 (million)
% 8.96/2.27 % (4131943)Also succeeded, but the first one will report.
% 8.96/2.27 % (4131987)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=995729087:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 8.96/2.27 % (4131988)lrs+10_1_sil=8000:sp=occurrence:random_seed=964603462:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 8.96/2.27 % (4131989)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1102089667:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 8.96/2.27 % (4131987)Instruction limit reached!
% 8.96/2.27 % (4131987)------------------------------
% 8.96/2.27 % (4131987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.27 % (4131987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.27 % (4131987)CaDiCaL version: 2.1.3
% 8.96/2.27 % (4131987)Termination reason: Instruction limit
% 8.96/2.27 % (4131987)Termination phase: Saturation
% 8.96/2.27 % (4131987)Time elapsed: 0.073 s
% 8.96/2.27 % (4131987)Peak memory usage: 89 MB
% 8.96/2.27 % (4131987)Instructions burned: 115 (million)
% 8.96/2.27 % (4131941)Refutation found. Thanks to Tanya!
% 8.96/2.27 % SZS status Theorem for theBenchmark
% 8.96/2.27 % SZS output start Proof for theBenchmark
% See solution above
% 9.93/2.46 % (4131941)------------------------------
% 9.93/2.46 % (4131941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.93/2.46 % (4131941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.93/2.46 % (4131941)CaDiCaL version: 2.1.3
% 9.93/2.46 % (4131941)Termination reason: Refutation
% 9.93/2.46 % (4131941)Time elapsed: 0.918 s
% 9.93/2.46 % (4131941)Peak memory usage: 129 MB
% 9.93/2.46 % (4131941)Instructions burned: 976 (million)
% 9.93/2.46 % (4131941)------------------------------
% 9.93/2.46 % (4131941)------------------------------
% 9.93/2.46 % (4131913)Success in time 1.315 s
% 9.93/2.46 % Vampire exiting
%------------------------------------------------------------------------------