%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET659+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:41:34 PM UTC 2026
% Result : Theorem 2.70s 1.29s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 19
% Syntax : Number of formulae : 157 ( 11 unt; 6 def)
% Number of atoms : 639 ( 44 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 817 ( 335 ~; 342 |; 76 &)
% ( 21 <=>; 39 =>; 0 <=; 4 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 264 ( 0 sgn 229 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,domain_of(X0))
<=> ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
<=> member(X2,X1) ) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
fof(f17,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(f23,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).
fof(f24,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).
fof(f27,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).
fof(f30,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain(X0,X1,X2) = domain_of(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30) ).
fof(f31,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31) ).
fof(f34,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34) ).
fof(f35,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X1,X0))
=> ( ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X3,X4),X2) ) ) )
<=> domain(X1,X0,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_22) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X1,X0))
=> ( ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X3,X4),X2) ) ) )
<=> domain(X1,X0,X2) = X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ( member(X1,domain_of(X0))
<=> ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X1,X2),X0) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ? [X2] :
( ( member(X2,X0)
<~> member(X2,X1) )
& ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ? [X2] :
( ( member(X2,X0)
<~> member(X2,X1) )
& ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f41]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f7]) ).
fof(f53,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f17]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0] :
( ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f23]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f24]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f63]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f27]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f30]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f31]) ).
fof(f77,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ! [X3] :
( ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X3,X4),X2) )
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) )
<~> domain(X1,X0,X2) = X1 )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f36]) ).
fof(f78,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ! [X3] :
( ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X3,X4),X2) )
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) )
<~> domain(X1,X0,X2) = X1 )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ( ( member(X1,domain_of(X0))
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X1,X2),X0) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X1,X2),X0) )
| ~ member(X1,domain_of(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(nnf_transformation,[],[f37]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ( ( member(X1,domain_of(X0))
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X1,X2),X0) ) )
& ( ? [X3] :
( ilf_type(X3,set_type)
& member(ordered_pair(X1,X3),X0) )
| ~ member(X1,domain_of(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( ( member(X1,domain_of(X0))
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X1,X2),X0) ) )
& ( ( ilf_type(sK0(X0,X1),set_type)
& member(ordered_pair(X1,sK0(X0,X1)),X0) )
| ~ member(X1,domain_of(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f80]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) )
& ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f42]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) )
& ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ( ( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) )
& ( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) )
& ilf_type(sK1(X0,X1),set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f83]) ).
fof(f89,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f53]) ).
fof(f90,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f89]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) )
& ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f54]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f61]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f101]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK7(X0,X1),X1)
& member(sK7(X0,X1),X0)
& ilf_type(sK7(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f102]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f64]) ).
fof(f112,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( domain(X1,X0,X2) != X1
| ? [X3] :
( ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X3,X4),X2) )
& member(X3,X1)
& ilf_type(X3,set_type) ) )
& ( domain(X1,X0,X2) = X1
| ! [X3] :
( ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X3,X4),X2) )
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) ) )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f78]) ).
fof(f113,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( domain(X1,X0,X2) != X1
| ? [X3] :
( ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X3,X4),X2) )
& member(X3,X1)
& ilf_type(X3,set_type) ) )
& ( domain(X1,X0,X2) = X1
| ! [X3] :
( ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X3,X4),X2) )
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) ) )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( domain(X1,X0,X2) != X1
| ? [X3] :
( ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X3,X4),X2) )
& member(X3,X1)
& ilf_type(X3,set_type) ) )
& ( domain(X1,X0,X2) = X1
| ! [X5] :
( ? [X6] :
( ilf_type(X6,set_type)
& member(ordered_pair(X5,X6),X2) )
| ~ member(X5,X1)
| ~ ilf_type(X5,set_type) ) )
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(rectify,[],[f113]) ).
fof(f115,plain,
( ( sK14 != domain(sK14,sK13,sK15)
| ( ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(sK16,X4),sK15) )
& member(sK16,sK14)
& ilf_type(sK16,set_type) ) )
& ( sK14 = domain(sK14,sK13,sK15)
| ! [X5] :
( ( ilf_type(sK17(X5),set_type)
& member(ordered_pair(X5,sK17(X5)),sK15) )
| ~ member(X5,sK14)
| ~ ilf_type(X5,set_type) ) )
& ilf_type(sK15,relation_type(sK14,sK13))
& ilf_type(sK14,set_type)
& ilf_type(sK13,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15),skolemize(X3,sK16),skolemize(X6,sK17(X5))],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( member(ordered_pair(X1,sK0(X0,X1)),X0)
| ~ member(X1,domain_of(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f81]) ).
fof(f118,plain,
! [X2,X0,X1] :
( member(X1,domain_of(X0))
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X1,X2),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f81]) ).
fof(f123,plain,
! [X0,X1] :
( X0 = X1
| member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f84]) ).
fof(f124,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f84]) ).
fof(f128,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f45]) ).
fof(f140,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f90]) ).
fof(f141,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f90]) ).
fof(f143,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f92]) ).
fof(f156,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f103]) ).
fof(f161,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f62]) ).
fof(f162,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f104]) ).
fof(f171,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f69]) ).
fof(f176,plain,
! [X2,X0,X1] :
( domain_of(X2) = domain(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f73]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f74]) ).
fof(f180,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f34]) ).
fof(f183,plain,
ilf_type(sK15,relation_type(sK14,sK13)),
inference(cnf_transformation,[],[f115]) ).
fof(f184,plain,
! [X5] :
( sK14 = domain(sK14,sK13,sK15)
| member(ordered_pair(X5,sK17(X5)),sK15)
| ~ member(X5,sK14)
| ~ ilf_type(X5,set_type) ),
inference(cnf_transformation,[],[f115]) ).
fof(f187,plain,
( sK14 != domain(sK14,sK13,sK15)
| member(sK16,sK14) ),
inference(cnf_transformation,[],[f115]) ).
fof(f188,plain,
! [X4] :
( sK14 != domain(sK14,sK13,sK15)
| ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(sK16,X4),sK15) ),
inference(cnf_transformation,[],[f115]) ).
fof(f197,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(duplicate_literal_removal,[],[f141]) ).
fof(f201,definition,
( spl18_1
<=> ! [X5] :
( member(ordered_pair(X5,sK17(X5)),sK15)
| ~ ilf_type(X5,set_type)
| ~ member(X5,sK14) ) ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f202,plain,
( ! [X5] :
( member(ordered_pair(X5,sK17(X5)),sK15)
| ~ ilf_type(X5,set_type)
| ~ member(X5,sK14) )
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f204,definition,
( spl18_2
<=> sK14 = domain(sK14,sK13,sK15) ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f205,plain,
( sK14 != domain(sK14,sK13,sK15)
| spl18_2 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f206,plain,
( sK14 = domain(sK14,sK13,sK15)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f207,plain,
( spl18_1
| spl18_2 ),
inference(avatar_split_clause,[],[f184,f204,f201]) ).
fof(f218,definition,
( spl18_5
<=> member(sK16,sK14) ),
introduced(definition,[new_symbols(definition,[spl18_5])],[avatar_definition]) ).
fof(f220,plain,
( member(sK16,sK14)
| ~ spl18_5 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f221,plain,
( spl18_5
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f187,f204,f218]) ).
fof(f223,definition,
( spl18_6
<=> ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(sK16,X4),sK15) ) ),
introduced(definition,[new_symbols(definition,[spl18_6])],[avatar_definition]) ).
fof(f224,plain,
( ! [X4] :
( ~ member(ordered_pair(sK16,X4),sK15)
| ~ ilf_type(X4,set_type) )
| ~ spl18_6 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f225,plain,
( spl18_6
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f188,f204,f223]) ).
fof(f246,plain,
! [X0] : ~ empty(power_set(X0)),
inference(forward_subsumption_resolution,[],[f161,f180]) ).
fof(f248,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f140,f180]) ).
fof(f250,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(forward_subsumption_resolution,[],[f197,f180]) ).
fof(f279,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f171,f180]) ).
fof(f280,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f279,f180]) ).
fof(f286,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f143,f180]) ).
fof(f287,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f286,f180]) ).
fof(f303,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f162,f180]) ).
fof(f304,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1) ),
inference(forward_subsumption_resolution,[],[f303,f180]) ).
fof(f325,plain,
! [X0,X1] :
( ~ ilf_type(X0,binary_relation_type)
| ~ member(X1,domain_of(X0))
| member(ordered_pair(X1,sK0(X0,X1)),X0) ),
inference(forward_subsumption_resolution,[],[f116,f180]) ).
fof(f327,plain,
! [X0,X1] :
( member(ordered_pair(X0,sK0(X1,X0)),X1)
| ~ member(X0,domain_of(X1))
| ~ relation_like(X1) ),
inference(resolution,[],[f325,f250]) ).
fof(f331,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f128,f180]) ).
fof(f332,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f331,f180]) ).
fof(f341,plain,
! [X2,X0,X1] :
( member(X1,domain_of(X0))
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X1,X2),X0)
| ~ ilf_type(X0,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f118,f180]) ).
fof(f342,plain,
! [X2,X0,X1] :
( member(X1,domain_of(X0))
| ~ member(ordered_pair(X1,X2),X0)
| ~ ilf_type(X0,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f341,f180]) ).
fof(f344,plain,
( ~ member(sK16,domain_of(sK15))
| ~ relation_like(sK15)
| ~ ilf_type(sK0(sK15,sK16),set_type)
| ~ spl18_6 ),
inference(resolution,[],[f327,f224]) ).
fof(f404,plain,
! [X2,X0,X1] :
( domain_of(X2) = domain(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f176,f180]) ).
fof(f405,plain,
! [X2,X0,X1] :
( domain_of(X2) = domain(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f404,f180]) ).
fof(f408,plain,
( sK14 = domain_of(sK15)
| ~ ilf_type(sK15,relation_type(sK14,sK13))
| ~ spl18_2 ),
inference(superposition,[],[f206,f405]) ).
fof(f409,plain,
( sK14 = domain_of(sK15)
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f408,f183]) ).
fof(f421,plain,
( ~ member(sK16,domain_of(sK15))
| ~ relation_like(sK15)
| ~ spl18_6 ),
inference(forward_subsumption_resolution,[],[f344,f180]) ).
fof(f425,definition,
( spl18_17
<=> ilf_type(sK15,binary_relation_type) ),
introduced(definition,[new_symbols(definition,[spl18_17])],[avatar_definition]) ).
fof(f426,plain,
( ilf_type(sK15,binary_relation_type)
| ~ spl18_17 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f427,plain,
( ~ ilf_type(sK15,binary_relation_type)
| spl18_17 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f432,plain,
( ~ member(sK16,sK14)
| ~ relation_like(sK15)
| ~ spl18_2
| ~ spl18_6 ),
inference(forward_demodulation,[],[f421,f409]) ).
fof(f433,plain,
( ~ relation_like(sK15)
| ~ spl18_2
| ~ spl18_5
| ~ spl18_6 ),
inference(forward_subsumption_resolution,[],[f432,f220]) ).
fof(f434,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f177,f180]) ).
fof(f435,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f434,f180]) ).
fof(f437,plain,
! [X2,X0,X1] :
( ilf_type(domain_of(X0),subset_type(X1))
| ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(superposition,[],[f435,f405]) ).
fof(f438,plain,
! [X2,X0,X1] :
( ilf_type(domain_of(X0),subset_type(X1))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(duplicate_literal_removal,[],[f437]) ).
fof(f442,plain,
( ~ ilf_type(sK15,binary_relation_type)
| ~ spl18_2
| ~ spl18_5
| ~ spl18_6 ),
inference(resolution,[],[f433,f248]) ).
fof(f443,plain,
( ~ spl18_17
| ~ spl18_2
| ~ spl18_5
| ~ spl18_6 ),
inference(avatar_split_clause,[],[f442,f223,f218,f204,f425]) ).
fof(f452,plain,
( ~ relation_like(sK15)
| spl18_17 ),
inference(resolution,[],[f427,f250]) ).
fof(f453,plain,
! [X0,X1] :
( X0 = X1
| member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f123,f180]) ).
fof(f454,plain,
! [X0,X1] :
( member(sK1(X0,X1),X1)
| X0 = X1
| member(sK1(X0,X1),X0) ),
inference(forward_subsumption_resolution,[],[f453,f180]) ).
fof(f464,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(forward_subsumption_resolution,[],[f124,f180]) ).
fof(f465,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X1)
| X0 = X1
| ~ member(sK1(X0,X1),X0) ),
inference(forward_subsumption_resolution,[],[f464,f180]) ).
fof(f468,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,binary_relation_type)
| ~ member(sK1(X0,domain_of(X1)),X0)
| ~ member(ordered_pair(sK1(X0,domain_of(X1)),X2),X1)
| domain_of(X1) = X0 ),
inference(resolution,[],[f465,f342]) ).
fof(f489,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f156,f180]) ).
fof(f490,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f489,f180]) ).
fof(f491,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f490,f180]) ).
fof(f524,plain,
( ! [X5] :
( member(ordered_pair(X5,sK17(X5)),sK15)
| ~ member(X5,sK14) )
| ~ spl18_1 ),
inference(forward_subsumption_resolution,[],[f202,f180]) ).
fof(f526,definition,
( spl18_25
<=> relation_like(sK15) ),
introduced(definition,[new_symbols(definition,[spl18_25])],[avatar_definition]) ).
fof(f528,plain,
( ~ relation_like(sK15)
| spl18_25 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f534,plain,
( ~ spl18_25
| spl18_17 ),
inference(avatar_split_clause,[],[f452,f425,f526]) ).
fof(f535,plain,
( sK14 != domain_of(sK15)
| ~ ilf_type(sK15,relation_type(sK14,sK13))
| spl18_2 ),
inference(superposition,[],[f205,f405]) ).
fof(f536,plain,
( sK14 != domain_of(sK15)
| spl18_2 ),
inference(forward_subsumption_resolution,[],[f535,f183]) ).
fof(f537,plain,
( ! [X0,X1] : ~ ilf_type(sK15,subset_type(cross_product(X0,X1)))
| spl18_25 ),
inference(resolution,[],[f528,f280]) ).
fof(f592,plain,
( ! [X0,X1] : ~ ilf_type(sK15,relation_type(X0,X1))
| spl18_25 ),
inference(resolution,[],[f537,f332]) ).
fof(f609,plain,
( $false
| spl18_25 ),
inference(resolution,[],[f592,f183]) ).
fof(f611,plain,
spl18_25,
inference(avatar_contradiction_clause,[],[f609]) ).
fof(f682,plain,
( ! [X0,X1] :
( ~ member(ordered_pair(sK1(X0,domain_of(sK15)),X1),sK15)
| ~ member(sK1(X0,domain_of(sK15)),X0)
| domain_of(sK15) = X0 )
| ~ spl18_17 ),
inference(resolution,[],[f468,f426]) ).
fof(f685,plain,
( ! [X0] :
( ~ member(sK1(X0,domain_of(sK15)),sK14)
| domain_of(sK15) = X0
| ~ member(sK1(X0,domain_of(sK15)),X0) )
| ~ spl18_1
| ~ spl18_17 ),
inference(resolution,[],[f682,f524]) ).
fof(f696,plain,
( ~ member(sK1(sK14,domain_of(sK15)),sK14)
| sK14 = domain_of(sK15)
| ~ spl18_1
| ~ spl18_17 ),
inference(factoring,[],[f685]) ).
fof(f697,plain,
( ~ member(sK1(sK14,domain_of(sK15)),sK14)
| ~ spl18_1
| spl18_2
| ~ spl18_17 ),
inference(forward_subsumption_resolution,[],[f696,f536]) ).
fof(f710,plain,
( ! [X0] :
( ~ member(sK1(sK14,domain_of(sK15)),X0)
| ~ member(X0,power_set(sK14)) )
| ~ spl18_1
| spl18_2
| ~ spl18_17 ),
inference(resolution,[],[f697,f491]) ).
fof(f732,plain,
( ~ member(domain_of(sK15),power_set(sK14))
| sK14 = domain_of(sK15)
| member(sK1(sK14,domain_of(sK15)),sK14)
| ~ spl18_1
| spl18_2
| ~ spl18_17 ),
inference(resolution,[],[f710,f454]) ).
fof(f739,plain,
( ~ member(domain_of(sK15),power_set(sK14))
| member(sK1(sK14,domain_of(sK15)),sK14)
| ~ spl18_1
| spl18_2
| ~ spl18_17 ),
inference(forward_subsumption_resolution,[],[f732,f536]) ).
fof(f740,plain,
( ~ member(domain_of(sK15),power_set(sK14))
| ~ spl18_1
| spl18_2
| ~ spl18_17 ),
inference(forward_subsumption_resolution,[],[f739,f697]) ).
fof(f744,plain,
( ~ ilf_type(domain_of(sK15),member_type(power_set(sK14)))
| empty(power_set(sK14))
| ~ spl18_1
| spl18_2
| ~ spl18_17 ),
inference(resolution,[],[f740,f304]) ).
fof(f745,plain,
( ~ ilf_type(domain_of(sK15),member_type(power_set(sK14)))
| ~ spl18_1
| spl18_2
| ~ spl18_17 ),
inference(forward_subsumption_resolution,[],[f744,f246]) ).
fof(f784,plain,
( ~ ilf_type(domain_of(sK15),subset_type(sK14))
| ~ spl18_1
| spl18_2
| ~ spl18_17 ),
inference(resolution,[],[f745,f287]) ).
fof(f789,plain,
( ! [X0] : ~ ilf_type(sK15,relation_type(sK14,X0))
| ~ spl18_1
| spl18_2
| ~ spl18_17 ),
inference(resolution,[],[f784,f438]) ).
fof(f791,plain,
( $false
| ~ spl18_1
| spl18_2
| ~ spl18_17 ),
inference(resolution,[],[f789,f183]) ).
fof(f793,plain,
( ~ spl18_1
| spl18_2
| ~ spl18_17 ),
inference(avatar_contradiction_clause,[],[f791]) ).
cnf(s1,plain,
( spl18_1
| spl18_2 ),
inference(sat_conversion,[],[f207]) ).
cnf(s4,plain,
( ~ spl18_2
| spl18_5 ),
inference(sat_conversion,[],[f221]) ).
cnf(s5,plain,
( ~ spl18_2
| spl18_6 ),
inference(sat_conversion,[],[f225]) ).
cnf(s19,plain,
( ~ spl18_2
| ~ spl18_5
| ~ spl18_6
| ~ spl18_17 ),
inference(sat_conversion,[],[f443]) ).
cnf(s26,plain,
( spl18_17
| ~ spl18_25 ),
inference(sat_conversion,[],[f534]) ).
cnf(s32,plain,
spl18_25,
inference(sat_conversion,[],[f611]) ).
cnf(s36,plain,
( ~ spl18_1
| spl18_2
| ~ spl18_17 ),
inference(sat_conversion,[],[f793]) ).
cnf(s37,plain,
spl18_17,
inference(rat,[],[s26,s32]) ).
cnf(s39,plain,
( ~ spl18_2
| ~ spl18_5
| ~ spl18_6 ),
inference(rat,[],[s19,s37]) ).
cnf(s43,plain,
~ spl18_2,
inference(rat,[],[s39,s4,s5]) ).
cnf(s44,plain,
~ spl18_1,
inference(rat,[],[s36,s37,s43]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s1,s43,s44]) ).
fof(f794,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET659+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 02:28:46 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.70/1.29 % (2962186)Detected formulas, will run a generic FOF schedule.
% 2.70/1.29 % (2962197)dis-21_1_sil=8000:lcm=predicate:random_seed=3520671861: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)
% 2.70/1.29 % (2962191)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=3297705853:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.70/1.29 % (2962194)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3064053063:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.70/1.29 % (2962195)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=331659783:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.70/1.29 % (2962193)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=2544951928:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.70/1.29 % (2962192)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=3607896126:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.70/1.29 % (2962196)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1592220434:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.70/1.29 % (2962194)Refutation not found, incomplete strategy
% 2.70/1.29 % (2962194)------------------------------
% 2.70/1.29 % (2962194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.29 % (2962194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.29 % (2962197)Instruction limit reached!
% 2.70/1.29 % (2962197)------------------------------
% 2.70/1.29 % (2962197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.29 % (2962197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.29 % (2962194)CaDiCaL version: 2.1.3
% 2.70/1.29 % (2962197)CaDiCaL version: 2.1.3
% 2.70/1.29 % (2962197)Termination reason: Instruction limit
% 2.70/1.29 % (2962197)Termination phase: Saturation
% 2.70/1.29 % (2962197)Time elapsed: 0.044 s
% 2.70/1.29 % (2962197)Peak memory usage: 90 MB
% 2.70/1.29 % (2962197)Instructions burned: 130 (million)
% 2.70/1.29 % (2962194)Termination reason: Refutation not found, incomplete strategy
% 2.70/1.29 % (2962194)Time elapsed: 0.003 s
% 2.70/1.29 % (2962194)Peak memory usage: 88 MB
% 2.70/1.29 % (2962194)Instructions burned: 2 (million)
% 2.70/1.29 % (2962196)First to succeed.
% 2.70/1.29 % (2962196)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2962186"
% 2.70/1.29 % (2962195)Instruction limit reached!
% 2.70/1.29 % (2962195)------------------------------
% 2.70/1.29 % (2962195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.29 % (2962195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.29 % (2962195)CaDiCaL version: 2.1.3
% 2.70/1.29 % (2962195)Termination reason: Instruction limit
% 2.70/1.29 % (2962195)Termination phase: Saturation
% 2.70/1.29 % (2962195)Time elapsed: 0.062 s
% 2.70/1.29 % (2962195)Peak memory usage: 88 MB
% 2.70/1.29 % (2962195)Instructions burned: 121 (million)
% 2.70/1.29 % (2962205)lrs+10_1_sil=8000:sp=occurrence:random_seed=3956121551:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.70/1.29 % (2962205)Instruction limit reached!
% 2.70/1.29 % (2962205)------------------------------
% 2.70/1.29 % (2962205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.29 % (2962205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.29 % (2962205)CaDiCaL version: 2.1.3
% 2.70/1.29 % (2962205)Termination reason: Instruction limit
% 2.70/1.29 % (2962205)Termination phase: Saturation
% 2.70/1.29 % (2962205)Time elapsed: 0.094 s
% 2.70/1.29 % (2962205)Peak memory usage: 92 MB
% 2.70/1.29 % (2962205)Instructions burned: 288 (million)
% 2.70/1.29 % (2962206)lrs+10_1_sil=32000:urr=on:br=off:random_seed=344692326:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.70/1.29 % (2962194)------------------------------
% 2.70/1.29 % (2962194)------------------------------
% 2.70/1.29 % (2962196)Refutation found. Thanks to Tanya!
% 2.70/1.29 % SZS status Theorem for theBenchmark
% 2.70/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.51 % (2962196)------------------------------
% 0.17/1.51 % (2962196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.51 % (2962196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.51 % (2962196)CaDiCaL version: 2.1.3
% 0.17/1.51 % (2962196)Termination reason: Refutation
% 0.17/1.51 % (2962196)Time elapsed: 0.024 s
% 0.17/1.51 % (2962196)Peak memory usage: 90 MB
% 0.17/1.51 % (2962196)Instructions burned: 29 (million)
% 0.17/1.51 % (2962196)------------------------------
% 0.17/1.51 % (2962196)------------------------------
% 0.17/1.51 % (2962186)Success in time 0.431 s
% 0.17/1.51 % Vampire exiting
%------------------------------------------------------------------------------