%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET671+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:44:23 PM UTC 2026
% Result : Theorem 16.78s 4.17s
% Output : Refutation 16.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 13
% Syntax : Number of formulae : 115 ( 17 unt; 2 def)
% Number of atoms : 525 ( 43 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 699 ( 289 ~; 296 |; 61 &)
% ( 11 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-4 aty)
% Number of variables : 269 ( 253 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( X0 = X1
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(ordered_pair(X2,X3),X0)
<=> member(ordered_pair(X2,X3),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,binary_relation_type)
=> ( member(ordered_pair(X1,X2),restrict(X3,X0))
<=> ( member(X1,X0)
& member(ordered_pair(X1,X2),X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X1))
=> ( member(ordered_pair(X2,X3),X4)
=> ( member(X2,X0)
& member(X3,X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f4,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',p4) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(restrict(X0,X1),binary_relation_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
fof(f10,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',p10) ).
fof(f22,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',p22) ).
fof(f25,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ! [X3] :
( ilf_type(X3,set_type)
=> restrict4(X0,X1,X2,X3) = restrict(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25) ).
fof(f27,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).
fof(f28,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X0))
=> ( subset(X1,X2)
=> restrict4(X1,X0,X3,X2) = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_34) ).
fof(f29,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X0))
=> ( subset(X1,X2)
=> restrict4(X1,X0,X3,X2) = X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1
<=> ! [X2] :
( ! [X3] :
( ( member(ordered_pair(X2,X3),X0)
<=> member(ordered_pair(X2,X3),X1) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( member(ordered_pair(X1,X2),restrict(X3,X0))
<=> ( member(X1,X0)
& member(ordered_pair(X1,X2),X3) ) )
| ~ ilf_type(X3,binary_relation_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( member(X2,X0)
& member(X3,X1) )
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1)) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( member(X2,X0)
& member(X3,X1) )
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1)) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f32]) ).
fof(f34,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,[],[f4]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,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,[],[f6]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,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,[],[f36]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ilf_type(restrict(X0,X1),binary_relation_type)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f9]) ).
fof(f41,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f10]) ).
fof(f57,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,[],[f22]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( restrict4(X0,X1,X2,X3) = restrict(X2,X3)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f25]) ).
fof(f63,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( restrict4(X1,X0,X3,X2) != X3
& subset(X1,X2)
& ilf_type(X3,relation_type(X1,X0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f29]) ).
fof(f64,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( restrict4(X1,X0,X3,X2) != X3
& subset(X1,X2)
& ilf_type(X3,relation_type(X1,X0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ? [X2] :
( ? [X3] :
( ( ~ member(ordered_pair(X2,X3),X1)
| ~ member(ordered_pair(X2,X3),X0) )
& ( member(ordered_pair(X2,X3),X1)
| member(ordered_pair(X2,X3),X0) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( ! [X3] :
( ( ( member(ordered_pair(X2,X3),X0)
| ~ member(ordered_pair(X2,X3),X1) )
& ( member(ordered_pair(X2,X3),X1)
| ~ member(ordered_pair(X2,X3),X0) ) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| X0 != X1 ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(nnf_transformation,[],[f30]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ? [X2] :
( ? [X3] :
( ( ~ member(ordered_pair(X2,X3),X1)
| ~ member(ordered_pair(X2,X3),X0) )
& ( member(ordered_pair(X2,X3),X1)
| member(ordered_pair(X2,X3),X0) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( ! [X3] :
( ( ( member(ordered_pair(X2,X3),X0)
| ~ member(ordered_pair(X2,X3),X1) )
& ( member(ordered_pair(X2,X3),X1)
| ~ member(ordered_pair(X2,X3),X0) ) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| X0 != X1 ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ? [X2] :
( ? [X3] :
( ( ~ member(ordered_pair(X2,X3),X1)
| ~ member(ordered_pair(X2,X3),X0) )
& ( member(ordered_pair(X2,X3),X1)
| member(ordered_pair(X2,X3),X0) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) )
& ( ! [X4] :
( ! [X5] :
( ( ( member(ordered_pair(X4,X5),X0)
| ~ member(ordered_pair(X4,X5),X1) )
& ( member(ordered_pair(X4,X5),X1)
| ~ member(ordered_pair(X4,X5),X0) ) )
| ~ ilf_type(X5,set_type) )
| ~ ilf_type(X4,set_type) )
| X0 != X1 ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ( ( ~ member(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1)
| ~ member(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0) )
& ( member(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1)
| member(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0) )
& ilf_type(sK1(X0,X1),set_type)
& ilf_type(sK0(X0,X1),set_type) ) )
& ( ! [X4] :
( ! [X5] :
( ( ( member(ordered_pair(X4,X5),X0)
| ~ member(ordered_pair(X4,X5),X1) )
& ( member(ordered_pair(X4,X5),X1)
| ~ member(ordered_pair(X4,X5),X0) ) )
| ~ ilf_type(X5,set_type) )
| ~ ilf_type(X4,set_type) )
| X0 != X1 ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f67]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( member(ordered_pair(X1,X2),restrict(X3,X0))
| ~ member(X1,X0)
| ~ member(ordered_pair(X1,X2),X3) )
& ( ( member(X1,X0)
& member(ordered_pair(X1,X2),X3) )
| ~ member(ordered_pair(X1,X2),restrict(X3,X0)) ) )
| ~ ilf_type(X3,binary_relation_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f31]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( member(ordered_pair(X1,X2),restrict(X3,X0))
| ~ member(X1,X0)
| ~ member(ordered_pair(X1,X2),X3) )
& ( ( member(X1,X0)
& member(ordered_pair(X1,X2),X3) )
| ~ member(ordered_pair(X1,X2),restrict(X3,X0)) ) )
| ~ ilf_type(X3,binary_relation_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f69]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,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) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f37]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,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) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f72]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0)
& ilf_type(sK3(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f73]) ).
fof(f75,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,[],[f41]) ).
fof(f76,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,[],[f75]) ).
fof(f91,plain,
( sK15 != restrict4(sK13,sK12,sK15,sK14)
& subset(sK13,sK14)
& ilf_type(sK15,relation_type(sK13,sK12))
& ilf_type(sK14,set_type)
& ilf_type(sK13,set_type)
& ilf_type(sK12,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14),skolemize(X3,sK15)],[f64]) ).
fof(f96,plain,
! [X0,X1] :
( member(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1)
| member(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0)
| X0 = X1
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f68]) ).
fof(f97,plain,
! [X0,X1] :
( ~ member(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1)
| X0 = X1
| ~ member(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f68]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X1,X2),X3)
| ~ member(ordered_pair(X1,X2),restrict(X3,X0))
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f70]) ).
fof(f100,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X1,X2),restrict(X3,X0))
| ~ member(X1,X0)
| ~ member(ordered_pair(X1,X2),X3)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f70]) ).
fof(f102,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f33]) ).
fof(f103,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,[],[f34]) ).
fof(f106,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f74]) ).
fof(f112,plain,
! [X0,X1] :
( ilf_type(restrict(X0,X1),binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f40]) ).
fof(f115,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f76]) ).
fof(f138,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,[],[f57]) ).
fof(f143,plain,
! [X2,X3,X0,X1] :
( restrict4(X0,X1,X2,X3) = restrict(X2,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f61]) ).
fof(f145,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f27]) ).
fof(f149,plain,
ilf_type(sK15,relation_type(sK13,sK12)),
inference(cnf_transformation,[],[f91]) ).
fof(f150,plain,
subset(sK13,sK14),
inference(cnf_transformation,[],[f91]) ).
fof(f151,plain,
sK15 != restrict4(sK13,sK12,sK15,sK14),
inference(cnf_transformation,[],[f91]) ).
fof(f155,definition,
sF16 = restrict4(sK13,sK12,sK15,sK14),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f156,plain,
restrict4(sK13,sK12,sK15,sK14) = sF16,
inference(reorient_equations,[],[f155]) ).
fof(f157,plain,
sK15 != sF16,
inference(definition_folding,[],[f151,f156]) ).
fof(f158,definition,
sF17 = relation_type(sK13,sK12),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f159,plain,
relation_type(sK13,sK12) = sF17,
inference(reorient_equations,[],[f158]) ).
fof(f160,plain,
ilf_type(sK15,sF17),
inference(definition_folding,[],[f149,f159]) ).
fof(f162,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(duplicate_literal_removal,[],[f115]) ).
fof(f166,plain,
! [X2,X3,X0,X1] :
( restrict4(X0,X1,X2,X3) = restrict(X2,X3)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f143,f145]) ).
fof(f170,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,[],[f138,f145]) ).
fof(f186,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(forward_subsumption_resolution,[],[f162,f145]) ).
fof(f187,plain,
! [X0,X1] :
( ilf_type(restrict(X0,X1),binary_relation_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f112,f145]) ).
fof(f188,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f106,f145]) ).
fof(f192,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,[],[f103,f145]) ).
fof(f195,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f102,f145]) ).
fof(f196,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X1,X2),X3)
| ~ member(ordered_pair(X1,X2),restrict(X3,X0))
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f98,f145]) ).
fof(f198,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X1,X2),restrict(X3,X0))
| ~ member(X1,X0)
| ~ member(ordered_pair(X1,X2),X3)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f100,f145]) ).
fof(f200,plain,
! [X2,X3,X0,X1] :
( restrict4(X0,X1,X2,X3) = restrict(X2,X3)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f166,f145]) ).
fof(f202,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(forward_subsumption_resolution,[],[f170,f145]) ).
fof(f212,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f188,f145]) ).
fof(f216,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f192,f145]) ).
fof(f219,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f195,f145]) ).
fof(f220,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X1,X2),X3)
| ~ member(ordered_pair(X1,X2),restrict(X3,X0))
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f196,f145]) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X1,X2),restrict(X3,X0))
| ~ member(X1,X0)
| ~ member(ordered_pair(X1,X2),X3)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f198,f145]) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| restrict4(X0,X1,X2,X3) = restrict(X2,X3) ),
inference(forward_subsumption_resolution,[],[f200,f145]) ).
fof(f228,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(forward_subsumption_resolution,[],[f212,f145]) ).
fof(f230,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f219,f145]) ).
fof(f231,plain,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X1,X2),restrict(X3,X0))
| member(ordered_pair(X1,X2),X3)
| ~ ilf_type(X3,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f220,f145]) ).
fof(f233,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X1,X2),restrict(X3,X0))
| ~ member(X1,X0)
| ~ member(ordered_pair(X1,X2),X3)
| ~ ilf_type(X3,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f222,f145]) ).
fof(f235,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(ordered_pair(X2,X3),X4)
| member(X2,X0)
| ~ ilf_type(X4,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f230,f145]) ).
fof(f264,plain,
! [X0] :
( ~ member(X0,sK13)
| member(X0,sK14) ),
inference(resolution,[],[f228,f150]) ).
fof(f282,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f216,f202]) ).
fof(f314,plain,
! [X0,X1] :
( ~ ilf_type(X0,sF17)
| restrict(X0,X1) = restrict4(sK13,sK12,X0,X1) ),
inference(superposition,[],[f224,f159]) ).
fof(f336,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X1,relation_type(X2,X3))
| X0 = X1
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,binary_relation_type)
| member(sK0(X0,X1),X2)
| member(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0) ),
inference(resolution,[],[f96,f235]) ).
fof(f347,plain,
! [X2,X0,X1] :
( member(ordered_pair(sK0(restrict(X0,X1),X2),sK1(restrict(X0,X1),X2)),X2)
| restrict(X0,X1) = X2
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(restrict(X0,X1),binary_relation_type)
| member(ordered_pair(sK0(restrict(X0,X1),X2),sK1(restrict(X0,X1),X2)),X0)
| ~ ilf_type(X0,binary_relation_type) ),
inference(resolution,[],[f96,f231]) ).
fof(f355,plain,
! [X2,X0,X1] :
( member(ordered_pair(sK0(restrict(X0,X1),X2),sK1(restrict(X0,X1),X2)),X2)
| member(ordered_pair(sK0(restrict(X0,X1),X2),sK1(restrict(X0,X1),X2)),X0)
| ~ ilf_type(X2,binary_relation_type)
| restrict(X0,X1) = X2
| ~ ilf_type(X0,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f347,f187]) ).
fof(f373,plain,
! [X0] :
( ~ ilf_type(X0,sF17)
| relation_like(X0) ),
inference(superposition,[],[f282,f159]) ).
fof(f428,plain,
! [X0] : restrict(sK15,X0) = restrict4(sK13,sK12,sK15,X0),
inference(resolution,[],[f314,f160]) ).
fof(f431,plain,
sF16 = restrict(sK15,sK14),
inference(superposition,[],[f156,f428]) ).
fof(f445,plain,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),sK15)
| ~ member(X0,sK14)
| member(ordered_pair(X0,X1),sF16)
| ~ ilf_type(sK15,binary_relation_type) ),
inference(superposition,[],[f233,f431]) ).
fof(f449,plain,
( ~ ilf_type(sK15,binary_relation_type)
| ilf_type(sF16,binary_relation_type) ),
inference(superposition,[],[f187,f431]) ).
fof(f590,plain,
! [X0,X1] :
( member(ordered_pair(sK0(X1,X0),sK1(X1,X0)),X1)
| X0 = X1
| ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| member(sK0(X1,X0),sK13)
| ~ ilf_type(X0,sF17) ),
inference(superposition,[],[f336,f159]) ).
fof(f755,plain,
! [X0,X1] :
( member(ordered_pair(sK0(restrict(X0,X1),X0),sK1(restrict(X0,X1),X0)),X0)
| ~ ilf_type(X0,binary_relation_type)
| restrict(X0,X1) = X0
| ~ ilf_type(X0,binary_relation_type) ),
inference(factoring,[],[f355]) ).
fof(f758,plain,
! [X0,X1] :
( member(ordered_pair(sK0(restrict(X0,X1),X0),sK1(restrict(X0,X1),X0)),X0)
| ~ ilf_type(X0,binary_relation_type)
| restrict(X0,X1) = X0 ),
inference(duplicate_literal_removal,[],[f755]) ).
fof(f1237,plain,
relation_like(sK15),
inference(resolution,[],[f373,f160]) ).
fof(f2598,plain,
( member(ordered_pair(sK0(sF16,sK15),sK1(sF16,sK15)),sK15)
| ~ ilf_type(sK15,binary_relation_type)
| sK15 = sF16 ),
inference(superposition,[],[f758,f431]) ).
fof(f2605,plain,
( member(ordered_pair(sK0(sF16,sK15),sK1(sF16,sK15)),sK15)
| ~ ilf_type(sK15,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f2598,f157]) ).
fof(f2614,plain,
( ~ ilf_type(sK15,binary_relation_type)
| ~ member(sK0(sF16,sK15),sK14)
| member(ordered_pair(sK0(sF16,sK15),sK1(sF16,sK15)),sF16)
| ~ ilf_type(sK15,binary_relation_type) ),
inference(resolution,[],[f2605,f445]) ).
fof(f2615,plain,
( ~ ilf_type(sK15,binary_relation_type)
| sK15 = sF16
| ~ member(ordered_pair(sK0(sF16,sK15),sK1(sF16,sK15)),sF16)
| ~ ilf_type(sK15,binary_relation_type)
| ~ ilf_type(sF16,binary_relation_type) ),
inference(resolution,[],[f2605,f97]) ).
fof(f2630,plain,
( ~ ilf_type(sK15,binary_relation_type)
| sK15 = sF16
| ~ member(ordered_pair(sK0(sF16,sK15),sK1(sF16,sK15)),sF16)
| ~ ilf_type(sF16,binary_relation_type) ),
inference(duplicate_literal_removal,[],[f2615]) ).
fof(f2631,plain,
( member(ordered_pair(sK0(sF16,sK15),sK1(sF16,sK15)),sF16)
| ~ member(sK0(sF16,sK15),sK14)
| ~ ilf_type(sK15,binary_relation_type) ),
inference(duplicate_literal_removal,[],[f2614]) ).
fof(f2637,plain,
( ~ ilf_type(sK15,binary_relation_type)
| ~ member(ordered_pair(sK0(sF16,sK15),sK1(sF16,sK15)),sF16)
| ~ ilf_type(sF16,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f2630,f157]) ).
fof(f2641,plain,
( ~ member(ordered_pair(sK0(sF16,sK15),sK1(sF16,sK15)),sF16)
| ~ ilf_type(sK15,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f2637,f449]) ).
fof(f2983,plain,
( ~ ilf_type(sK15,binary_relation_type)
| sK15 = sF16
| ~ ilf_type(sK15,binary_relation_type)
| ~ ilf_type(sF16,binary_relation_type)
| member(sK0(sF16,sK15),sK13)
| ~ ilf_type(sK15,sF17) ),
inference(resolution,[],[f2641,f590]) ).
fof(f2989,plain,
( ~ ilf_type(sK15,binary_relation_type)
| sK15 = sF16
| ~ ilf_type(sF16,binary_relation_type)
| member(sK0(sF16,sK15),sK13)
| ~ ilf_type(sK15,sF17) ),
inference(duplicate_literal_removal,[],[f2983]) ).
fof(f2991,plain,
( ~ ilf_type(sK15,binary_relation_type)
| ~ ilf_type(sF16,binary_relation_type)
| member(sK0(sF16,sK15),sK13)
| ~ ilf_type(sK15,sF17) ),
inference(forward_subsumption_resolution,[],[f2989,f157]) ).
fof(f2993,plain,
( ~ ilf_type(sK15,binary_relation_type)
| member(sK0(sF16,sK15),sK13)
| ~ ilf_type(sK15,sF17) ),
inference(forward_subsumption_resolution,[],[f2991,f449]) ).
fof(f2995,plain,
( member(sK0(sF16,sK15),sK13)
| ~ ilf_type(sK15,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f2993,f160]) ).
fof(f3044,plain,
( member(sK0(sF16,sK15),sK14)
| ~ ilf_type(sK15,binary_relation_type) ),
inference(resolution,[],[f2995,f264]) ).
fof(f20536,plain,
( ~ member(sK0(sF16,sK15),sK14)
| ~ ilf_type(sK15,binary_relation_type)
| ~ ilf_type(sK15,binary_relation_type) ),
inference(resolution,[],[f2631,f2641]) ).
fof(f20551,plain,
( ~ member(sK0(sF16,sK15),sK14)
| ~ ilf_type(sK15,binary_relation_type) ),
inference(duplicate_literal_removal,[],[f20536]) ).
fof(f20557,plain,
~ ilf_type(sK15,binary_relation_type),
inference(forward_subsumption_resolution,[],[f20551,f3044]) ).
fof(f20570,plain,
~ relation_like(sK15),
inference(resolution,[],[f20557,f186]) ).
fof(f20571,plain,
$false,
inference(forward_subsumption_resolution,[],[f20570,f1237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET671+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 02:29:01 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.40 Running first-order model finding
% 0.15/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.11/2.43 % (2962605)Will run a generic schedule for satisfiability detection.
% 14.11/2.43 % (2962615)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1465755521:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.11/2.43 % (2962611)% WARNING: option uhcvi not known.
% 14.11/2.43 % (2962610)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3846237579_2999 on theBenchmark for (2999ds/0Mi)
% 14.11/2.43 % (2962611)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=77275898:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.11/2.43 % (2962612)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4071625100:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.11/2.43 % (2962613)dis+10_1_sil=32000:sp=arity:random_seed=3252672913:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.11/2.43 % (2962614)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=265816860:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.11/2.43 % (2962616)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=82012360:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.11/2.43 % TRYING [1]
% 14.11/2.43 % TRYING [2]
% 14.11/2.43 % TRYING [3]
% 14.11/2.43 % (2962615)Instruction limit reached!
% 14.11/2.43 % (2962615)------------------------------
% 14.11/2.43 % (2962615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.11/2.43 % (2962615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/2.43 % (2962615)CaDiCaL version: 2.1.3
% 14.11/2.43 % (2962615)Termination reason: Instruction limit
% 14.11/2.43 % (2962615)Termination phase: Saturation
% 14.11/2.43 % (2962615)Time elapsed: 0.047 s
% 14.11/2.43 % (2962615)Peak memory usage: 13 MB
% 14.11/2.43 % (2962615)Instructions burned: 132 (million)
% 14.11/2.43 % (2962624)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2400903538:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.11/2.43 % TRYING [1]
% 14.11/2.43 % TRYING [2]
% 14.11/2.43 % TRYING [3]
% 14.11/2.43 % (2962613)Instruction limit reached!
% 14.11/2.43 % (2962613)------------------------------
% 14.11/2.43 % (2962613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.11/2.43 % (2962613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/2.43 % (2962613)CaDiCaL version: 2.1.3
% 14.11/2.43 % (2962613)Termination reason: Instruction limit
% 14.11/2.43 % (2962613)Termination phase: Saturation
% 14.11/2.43 % (2962613)Time elapsed: 0.067 s
% 14.11/2.43 % (2962613)Peak memory usage: 12 MB
% 14.11/2.43 % (2962613)Instructions burned: 104 (million)
% 14.11/2.43 % (2962614)Instruction limit reached!
% 14.11/2.43 % (2962614)------------------------------
% 14.11/2.43 % (2962614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.11/2.43 % (2962614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/2.43 % (2962614)CaDiCaL version: 2.1.3
% 14.11/2.43 % (2962614)Termination reason: Instruction limit
% 14.11/2.43 % (2962614)Termination phase: Saturation
% 14.11/2.43 % (2962614)Time elapsed: 0.072 s
% 14.11/2.43 % (2962614)Peak memory usage: 12 MB
% 14.11/2.43 % (2962614)Instructions burned: 116 (million)
% 14.11/2.43 % TRYING [4]
% 14.11/2.43 % (2962626)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2261950274:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.11/2.43 % (2962627)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2042146933:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.11/2.43 % (2962616)Instruction limit reached!
% 14.11/2.43 % (2962616)------------------------------
% 14.11/2.43 % (2962616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.11/2.43 % (2962616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/2.43 % (2962616)CaDiCaL version: 2.1.3
% 14.11/2.43 % (2962616)Termination reason: Instruction limit
% 14.11/2.43 % (2962616)Termination phase: Saturation
% 14.11/2.43 % (2962616)Time elapsed: 0.109 s
% 14.11/2.43 % (2962616)Peak memory usage: 13 MB
% 14.11/2.43 % (2962616)Instructions burned: 159 (million)
% 14.11/2.43 % TRYING [4]
% 14.11/2.43 % (2962630)ott-21_1_sil=16000:fs=off:random_seed=4077565789:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.11/2.43 % (2962626)Instruction limit reached!
% 14.11/2.43 % (2962626)------------------------------
% 14.11/2.43 % (2962626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.11/2.43 % (2962626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962626)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962626)Termination reason: Instruction limit
% 16.78/4.17 % (2962626)Termination phase: Saturation
% 16.78/4.17 % (2962626)Time elapsed: 0.089 s
% 16.78/4.17 % (2962626)Peak memory usage: 13 MB
% 16.78/4.17 % (2962626)Instructions burned: 132 (million)
% 16.78/4.17 % (2962632)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1384856254:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 16.78/4.17 % (2962630)Instruction limit reached!
% 16.78/4.17 % (2962630)------------------------------
% 16.78/4.17 % (2962630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/4.17 % (2962630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962630)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962630)Termination reason: Instruction limit
% 16.78/4.17 % (2962630)Termination phase: Saturation
% 16.78/4.17 % (2962630)Time elapsed: 0.096 s
% 16.78/4.17 % (2962630)Peak memory usage: 13 MB
% 16.78/4.17 % (2962630)Instructions burned: 181 (million)
% 16.78/4.17 % (2962634)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=782883486:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 16.78/4.17 % TRYING [1]
% 16.78/4.17 % (2962624)Instruction limit reached!
% 16.78/4.17 % (2962624)------------------------------
% 16.78/4.17 % (2962624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/4.17 % (2962624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962624)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962624)Termination reason: Instruction limit
% 16.78/4.17 % (2962624)Termination phase: Finite model building SAT solving
% 16.78/4.17 % (2962624)Time elapsed: 0.203 s
% 16.78/4.17 % (2962624)Peak memory usage: 18 MB
% 16.78/4.17 % (2962624)Instructions burned: 717 (million)
% 16.78/4.17 % TRYING [2]
% 16.78/4.17 % (2962636)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2775568782:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 16.78/4.17 % TRYING [3]
% 16.78/4.17 % TRYING [4]
% 16.78/4.17 % (2962627)Instruction limit reached!
% 16.78/4.17 % (2962627)------------------------------
% 16.78/4.17 % (2962627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/4.17 % (2962627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962627)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962627)Termination reason: Instruction limit
% 16.78/4.17 % (2962627)Termination phase: Saturation
% 16.78/4.17 % (2962627)Time elapsed: 0.312 s
% 16.78/4.17 % (2962627)Peak memory usage: 22 MB
% 16.78/4.17 % (2962627)Instructions burned: 686 (million)
% 16.78/4.17 % (2962638)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3055422065:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 16.78/4.17 % (2962632)Instruction limit reached!
% 16.78/4.17 % (2962632)------------------------------
% 16.78/4.17 % (2962632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/4.17 % (2962632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962632)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962632)Termination reason: Instruction limit
% 16.78/4.17 % (2962632)Termination phase: Saturation
% 16.78/4.17 % (2962632)Time elapsed: 0.297 s
% 16.78/4.17 % (2962632)Peak memory usage: 15 MB
% 16.78/4.17 % (2962632)Instructions burned: 477 (million)
% 16.78/4.17 % (2962640)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1585736943:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 16.78/4.17 % (2962636)Instruction limit reached!
% 16.78/4.17 % (2962636)------------------------------
% 16.78/4.17 % (2962636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/4.17 % (2962636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962636)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962636)Termination reason: Instruction limit
% 16.78/4.17 % (2962636)Termination phase: Saturation
% 16.78/4.17 % (2962636)Time elapsed: 0.367 s
% 16.78/4.17 % (2962636)Peak memory usage: 23 MB
% 16.78/4.17 % (2962636)Instructions burned: 1181 (million)
% 16.78/4.17 % (2962642)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2901547159:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 16.78/4.17 % TRYING [5]
% 16.78/4.17 % (2962634)Instruction limit reached!
% 16.78/4.17 % (2962634)------------------------------
% 16.78/4.17 % (2962634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/4.17 % (2962634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962634)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962634)Termination reason: Instruction limit
% 16.78/4.17 % (2962634)Termination phase: Finite model building constraint generation
% 16.78/4.17 % (2962634)Time elapsed: 0.464 s
% 16.78/4.17 % (2962634)Peak memory usage: 15 MB
% 16.78/4.17 % (2962634)Instructions burned: 867 (million)
% 16.78/4.17 % TRYING [14]
% 16.78/4.17 % (2962644)fmb+10_1_sil=64000:random_seed=2261728942:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 16.78/4.17 % TRYING [1]
% 16.78/4.17 % TRYING [2]
% 16.78/4.17 % TRYING [3]
% 16.78/4.17 % TRYING [4]
% 16.78/4.17 % (2962638)Instruction limit reached!
% 16.78/4.17 % (2962638)------------------------------
% 16.78/4.17 % (2962638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/4.17 % (2962638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962638)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962638)Termination reason: Instruction limit
% 16.78/4.17 % (2962638)Termination phase: Finite model building constraint generation
% 16.78/4.17 % (2962638)Time elapsed: 0.373 s
% 16.78/4.17 % (2962638)Peak memory usage: 85 MB
% 16.78/4.17 % (2962638)Instructions burned: 889 (million)
% 16.78/4.17 % (2962646)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3584565114:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 16.78/4.17 % TRYING [20]
% 16.78/4.17 % (2962640)Instruction limit reached!
% 16.78/4.17 % (2962640)------------------------------
% 16.78/4.17 % (2962640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/4.17 % (2962640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962640)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962640)Termination reason: Instruction limit
% 16.78/4.17 % (2962640)Termination phase: Saturation
% 16.78/4.17 % (2962640)Time elapsed: 0.372 s
% 16.78/4.17 % (2962640)Peak memory usage: 18 MB
% 16.78/4.17 % (2962640)Instructions burned: 692 (million)
% 16.78/4.17 % (2962648)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1443906585:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 16.78/4.17 % (2962642)Instruction limit reached!
% 16.78/4.17 % (2962642)------------------------------
% 16.78/4.17 % (2962642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/4.17 % (2962642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962642)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962642)Termination reason: Instruction limit
% 16.78/4.17 % (2962642)Termination phase: Saturation
% 16.78/4.17 % (2962642)Time elapsed: 0.268 s
% 16.78/4.17 % (2962642)Peak memory usage: 18 MB
% 16.78/4.17 % (2962642)Instructions burned: 883 (million)
% 16.78/4.17 % TRYING [8]
% 16.78/4.17 % TRYING [5]
% 16.78/4.17 % (2962650)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3849868713:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 16.78/4.17 % (2962648)Instruction limit reached!
% 16.78/4.17 % (2962648)------------------------------
% 16.78/4.17 % (2962648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/4.17 % (2962648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962648)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962648)Termination reason: Instruction limit
% 16.78/4.17 % (2962648)Termination phase: Finite model building constraint generation
% 16.78/4.17 % (2962648)Time elapsed: 0.386 s
% 16.78/4.17 % (2962648)Peak memory usage: 70 MB
% 16.78/4.17 % (2962648)Instructions burned: 920 (million)
% 16.78/4.17 % (2962652)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3849517800:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 16.78/4.17 % TRYING [5]
% 16.78/4.17 % (2962652)Instruction limit reached!
% 16.78/4.17 % (2962652)------------------------------
% 16.78/4.17 % (2962652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/4.17 % (2962652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962652)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962652)Termination reason: Instruction limit
% 16.78/4.17 % (2962652)Termination phase: Saturation
% 16.78/4.17 % (2962652)Time elapsed: 0.637 s
% 16.78/4.17 % (2962652)Peak memory usage: 23 MB
% 16.78/4.17 % (2962652)Instructions burned: 1474 (million)
% 16.78/4.17 % (2962654)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=439143373:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 16.78/4.17 % (2962654)Cannot represent all propositional literals internally
% 16.78/4.17 % (2962654)Refutation not found, incomplete strategy
% 16.78/4.17 % (2962654)------------------------------
% 16.78/4.17 % (2962654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/4.17 % (2962654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962654)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962654)Termination reason: Refutation not found, incomplete strategy
% 16.78/4.17 % (2962654)Time elapsed: 0.008 s
% 16.78/4.17 % (2962654)Peak memory usage: 11 MB
% 16.78/4.17 % (2962654)Instructions burned: 16 (million)
% 16.78/4.17 % (2962654)------------------------------
% 16.78/4.17 % (2962654)------------------------------
% 16.78/4.17 % (2962656)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3960039587:fmbsr=2.30978:i=2174_2979 on theBenchmark for (2979ds/2174Mi)
% 16.78/4.17 % TRYING [16]
% 16.78/4.17 % (2962650)Instruction limit reached!
% 16.78/4.17 % (2962650)------------------------------
% 16.78/4.17 % (2962650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/4.17 % (2962650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962650)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962650)Termination reason: Instruction limit
% 16.78/4.17 % (2962650)Termination phase: Saturation
% 16.78/4.17 % (2962650)Time elapsed: 1.486 s
% 16.78/4.17 % (2962650)Peak memory usage: 26 MB
% 16.78/4.17 % (2962650)Instructions burned: 5134 (million)
% 16.78/4.17 % (2962658)ott-2_1_sil=16000:newcnf=on:random_seed=2751214158:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2975 on theBenchmark for (2975ds/869Mi)
% 16.78/4.17 % (2962658)Instruction limit reached!
% 16.78/4.17 % (2962658)------------------------------
% 16.78/4.17 % (2962658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/4.17 % (2962658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962658)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962658)Termination reason: Instruction limit
% 16.78/4.17 % (2962658)Termination phase: Saturation
% 16.78/4.17 % (2962658)Time elapsed: 0.286 s
% 16.78/4.17 % (2962658)Peak memory usage: 17 MB
% 16.78/4.17 % (2962658)Instructions burned: 871 (million)
% 16.78/4.17 % (2962660)ott+10_1_sil=32000:tgt=ground:random_seed=2373286994:i=5114:av=off_2972 on theBenchmark for (2972ds/5114Mi)
% 16.78/4.17 % (2962656)Instruction limit reached!
% 16.78/4.17 % (2962656)------------------------------
% 16.78/4.17 % (2962656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/4.17 % (2962656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962656)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962656)Termination reason: Instruction limit
% 16.78/4.17 % (2962656)Termination phase: Finite model building constraint generation
% 16.78/4.17 % (2962656)Time elapsed: 0.735 s
% 16.78/4.17 % (2962656)Peak memory usage: 130 MB
% 16.78/4.17 % (2962656)Instructions burned: 2176 (million)
% 16.78/4.17 % (2962662)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=382204559:i=54282_2972 on theBenchmark for (2972ds/54282Mi)
% 16.78/4.17 % TRYING [1]
% 16.78/4.17 % TRYING [2]
% 16.78/4.17 % TRYING [3]
% 16.78/4.17 % TRYING [4]
% 16.78/4.17 % (2962660) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2962605-2962660"...
% 16.78/4.17 % (2962660)...printing done.
% 16.78/4.17 % (2962660)Refutation found. Thanks to Tanya!
% 16.78/4.17 % SZS status Theorem for theBenchmark
% 16.78/4.17 % SZS output start Proof for theBenchmark
% See solution above
% 16.78/4.17 % (2962660)------------------------------
% 16.78/4.17 % (2962660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/4.17 % (2962660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/4.17 % (2962660)CaDiCaL version: 2.1.3
% 16.78/4.17 % (2962660)Termination reason: Refutation
% 16.78/4.17 % (2962660)Time elapsed: 0.962 s
% 16.78/4.17 % (2962660)Peak memory usage: 40 MB
% 16.78/4.17 % (2962660)Instructions burned: 3059 (million)
% 16.78/4.17 % (2962605)Success in time 3.761 s
% 16.78/4.17 % Vampire exiting
%------------------------------------------------------------------------------