%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET672+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:41:36 PM UTC 2026
% Result : Theorem 6.80s 1.94s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 175 ( 19 unt; 4 def)
% Number of atoms : 693 ( 28 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 887 ( 369 ~; 380 |; 69 &)
% ( 23 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-4 aty)
% Number of variables : 397 ( 0 sgn 377 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
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,binary_relation_type)
=> ( member(ordered_pair(X1,X2),restrict(X0,X3))
<=> ( member(X2,X0)
& member(ordered_pair(X1,X2),X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(f4,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)
=> ( member(ordered_pair(X0,X1),cross_product(X2,X3))
<=> ( member(X0,X2)
& member(X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
fof(f5,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/sandbox/benchmark/theBenchmark.p',p5) ).
fof(f11,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11) ).
fof(f13,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/sandbox/benchmark/theBenchmark.p',p13) ).
fof(f18,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( relation_like(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,X0)
=> ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,set_type)
& X1 = ordered_pair(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18) ).
fof(f19,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/sandbox/benchmark/theBenchmark.p',p19) ).
fof(f20,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/sandbox/benchmark/theBenchmark.p',p20) ).
fof(f21,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).
fof(f22,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/sandbox/benchmark/theBenchmark.p',p22) ).
fof(f24,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24) ).
fof(f26,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> restrict4(X0,X1,X2,X3) = restrict(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26) ).
fof(f27,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(restrict4(X0,X1,X2,X3),relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27) ).
fof(f28,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28) ).
fof(f29,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(X2,X0))
=> ilf_type(restrict4(X2,X0,X1,X3),relation_type(X2,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_35) ).
fof(f30,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(X2,X0))
=> ilf_type(restrict4(X2,X0,X1,X3),relation_type(X2,X1)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f34,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( member(ordered_pair(X1,X2),restrict(X0,X3))
<=> ( member(X2,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,[],[f3]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( member(ordered_pair(X0,X1),cross_product(X2,X3))
<=> ( member(X0,X2)
& member(X1,X3) ) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f36,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,[],[f5]) ).
fof(f43,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f11]) ).
fof(f44,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,[],[f13]) ).
fof(f50,plain,
! [X0] :
( ( relation_like(X0)
<=> ! [X1] :
( ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,set_type)
& X1 = ordered_pair(X2,X3) ) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f18]) ).
fof(f51,plain,
! [X0] :
( ( relation_like(X0)
<=> ! [X1] :
( ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,set_type)
& X1 = ordered_pair(X2,X3) ) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f50]) ).
fof(f52,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,[],[f19]) ).
fof(f53,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,[],[f20]) ).
fof(f54,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,[],[f53]) ).
fof(f55,plain,
! [X0] :
( ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f56,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,[],[f22]) ).
fof(f57,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,[],[f56]) ).
fof(f60,plain,
! [X0] :
( ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f24]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( restrict4(X0,X1,X2,X3) = restrict(X2,X3)
| ~ ilf_type(X3,relation_type(X0,X1)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f26]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ilf_type(restrict4(X0,X1,X2,X3),relation_type(X0,X1))
| ~ ilf_type(X3,relation_type(X0,X1)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f27]) ).
fof(f65,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(restrict4(X2,X0,X1,X3),relation_type(X2,X1))
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f30]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( member(ordered_pair(X1,X2),restrict(X0,X3))
| ~ member(X2,X0)
| ~ member(ordered_pair(X1,X2),X3) )
& ( ( member(X2,X0)
& member(ordered_pair(X1,X2),X3) )
| ~ member(ordered_pair(X1,X2),restrict(X0,X3)) ) )
| ~ ilf_type(X3,binary_relation_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f34]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( member(ordered_pair(X1,X2),restrict(X0,X3))
| ~ member(X2,X0)
| ~ member(ordered_pair(X1,X2),X3) )
& ( ( member(X2,X0)
& member(ordered_pair(X1,X2),X3) )
| ~ member(ordered_pair(X1,X2),restrict(X0,X3)) ) )
| ~ 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(f71,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ member(X0,X2)
| ~ member(X1,X3) )
& ( ( member(X0,X2)
& member(X1,X3) )
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f35]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ member(X0,X2)
| ~ member(X1,X3) )
& ( ( member(X0,X2)
& member(X1,X3) )
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f71]) ).
fof(f74,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,[],[f43]) ).
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(flattening,[],[f74]) ).
fof(f77,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,[],[f44]) ).
fof(f79,plain,
! [X0] :
( ( ( relation_like(X0)
| ? [X1] :
( ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ordered_pair(X2,X3) != X1 ) )
& member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,set_type)
& X1 = ordered_pair(X2,X3) ) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f51]) ).
fof(f80,plain,
! [X0] :
( ( ( relation_like(X0)
| ? [X1] :
( ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ordered_pair(X2,X3) != X1 ) )
& member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X4] :
( ? [X5] :
( ilf_type(X5,set_type)
& ? [X6] :
( ilf_type(X6,set_type)
& ordered_pair(X5,X6) = X4 ) )
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type) )
| ~ relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ( ( relation_like(X0)
| ( ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ordered_pair(X2,X3) != sK5(X0) ) )
& member(sK5(X0),X0)
& ilf_type(sK5(X0),set_type) ) )
& ( ! [X4] :
( ( ilf_type(sK6(X4),set_type)
& ilf_type(sK7(X4),set_type)
& ordered_pair(sK6(X4),sK7(X4)) = X4 )
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type) )
| ~ relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X1,sK5(X0)),skolemize(X5,sK6(X4)),skolemize(X6,sK7(X4))],[f80]) ).
fof(f82,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,[],[f54]) ).
fof(f83,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,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK8(X0,X1),X1)
& member(sK8(X0,X1),X0)
& ilf_type(sK8(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,[sK8]),skolemize(X2,sK8(X0,X1))],[f83]) ).
fof(f85,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,[],[f57]) ).
fof(f87,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f60]) ).
fof(f88,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ( ( empty(X0)
| ( member(sK10(X0),X0)
& ilf_type(sK10(X0),set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X1,sK10(X0))],[f88]) ).
fof(f90,plain,
( ~ ilf_type(restrict4(sK13,sK11,sK12,sK14),relation_type(sK13,sK12))
& ilf_type(sK14,relation_type(sK13,sK11))
& ilf_type(sK13,set_type)
& ilf_type(sK12,set_type)
& ilf_type(sK11,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13),skolemize(X3,sK14)],[f65]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( member(X2,X0)
| ~ member(ordered_pair(X1,X2),restrict(X0,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(f101,plain,
! [X2,X3,X0,X1] :
( member(X0,X2)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f102,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ member(X0,X2)
| ~ member(X1,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f72]) ).
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,[],[f36]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f36]) ).
fof(f113,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f75]) ).
fof(f115,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,[],[f77]) ).
fof(f116,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(cnf_transformation,[],[f77]) ).
fof(f121,plain,
! [X0,X4] :
( ordered_pair(sK6(X4),sK7(X4)) = X4
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f81]) ).
fof(f127,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,[],[f52]) ).
fof(f128,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,[],[f84]) ).
fof(f130,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK8(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f84]) ).
fof(f131,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK8(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f84]) ).
fof(f133,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f55]) ).
fof(f134,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,[],[f85]) ).
fof(f135,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(cnf_transformation,[],[f85]) ).
fof(f137,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f89]) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( restrict4(X0,X1,X2,X3) = restrict(X2,X3)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f63]) ).
fof(f142,plain,
! [X2,X3,X0,X1] :
( ilf_type(restrict4(X0,X1,X2,X3),relation_type(X0,X1))
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f64]) ).
fof(f143,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f28]) ).
fof(f147,plain,
ilf_type(sK14,relation_type(sK13,sK11)),
inference(cnf_transformation,[],[f90]) ).
fof(f148,plain,
~ ilf_type(restrict4(sK13,sK11,sK12,sK14),relation_type(sK13,sK12)),
inference(cnf_transformation,[],[f90]) ).
fof(f150,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(duplicate_literal_removal,[],[f113]) ).
fof(f151,plain,
! [X2,X3,X0,X1] :
( ilf_type(restrict4(X0,X1,X2,X3),relation_type(X0,X1))
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f142,f143]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( restrict4(X0,X1,X2,X3) = restrict(X2,X3)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f141,f143]) ).
fof(f154,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f137,f143]) ).
fof(f157,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f134,f143]) ).
fof(f158,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f135,f143]) ).
fof(f159,plain,
! [X0] : ~ empty(power_set(X0)),
inference(forward_subsumption_resolution,[],[f133,f143]) ).
fof(f160,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,[],[f128,f143]) ).
fof(f161,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK8(X0,X1),X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f130,f143]) ).
fof(f162,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK8(X0,X1),X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f131,f143]) ).
fof(f163,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,[],[f127,f143]) ).
fof(f164,plain,
! [X0,X4] :
( ordered_pair(sK6(X4),sK7(X4)) = X4
| ~ member(X4,X0)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f121,f143]) ).
fof(f168,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,[],[f115,f143]) ).
fof(f169,plain,
! [X0,X1] :
( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f116,f143]) ).
fof(f171,plain,
! [X0] :
( ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f150,f143]) ).
fof(f176,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,f143]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f104,f143]) ).
fof(f179,plain,
! [X2,X3,X0,X1] :
( member(X0,X2)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f101,f143]) ).
fof(f180,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ member(X0,X2)
| ~ member(X1,X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f102,f143]) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( member(X2,X0)
| ~ member(ordered_pair(X1,X2),restrict(X0,X3))
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f98,f143]) ).
fof(f186,plain,
! [X2,X3,X0,X1] :
( ilf_type(restrict4(X0,X1,X2,X3),relation_type(X0,X1))
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f151,f143]) ).
fof(f187,plain,
! [X2,X3,X0,X1] :
( restrict4(X0,X1,X2,X3) = restrict(X2,X3)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f152,f143]) ).
fof(f188,plain,
! [X2,X0] :
( ~ empty(X0)
| ~ member(X2,X0) ),
inference(forward_subsumption_resolution,[],[f154,f143]) ).
fof(f189,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(forward_subsumption_resolution,[],[f157,f143]) ).
fof(f190,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1) ),
inference(forward_subsumption_resolution,[],[f158,f143]) ).
fof(f191,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f160,f143]) ).
fof(f192,plain,
! [X0,X1] :
( member(sK8(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f161,f143]) ).
fof(f193,plain,
! [X0,X1] :
( ~ member(sK8(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f162,f143]) ).
fof(f194,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(forward_subsumption_resolution,[],[f163,f143]) ).
fof(f195,plain,
! [X0,X4] :
( ~ relation_like(X0)
| ~ member(X4,X0)
| ordered_pair(sK6(X4),sK7(X4)) = X4 ),
inference(forward_subsumption_resolution,[],[f164,f143]) ).
fof(f197,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f168,f143]) ).
fof(f198,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f169,f143]) ).
fof(f202,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f176,f143]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f177,f143]) ).
fof(f205,plain,
! [X2,X3,X0,X1] :
( member(X0,X2)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f179,f143]) ).
fof(f206,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ member(X0,X2)
| ~ member(X1,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f180,f143]) ).
fof(f208,plain,
! [X2,X3,X0,X1] :
( member(X2,X0)
| ~ member(ordered_pair(X1,X2),restrict(X0,X3))
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f182,f143]) ).
fof(f212,plain,
! [X2,X3,X0,X1] :
( ilf_type(restrict4(X0,X1,X2,X3),relation_type(X0,X1))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f186,f143]) ).
fof(f213,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X3,relation_type(X0,X1))
| restrict4(X0,X1,X2,X3) = restrict(X2,X3) ),
inference(forward_subsumption_resolution,[],[f187,f143]) ).
fof(f214,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(forward_subsumption_resolution,[],[f190,f188]) ).
fof(f215,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| member(X3,X1) ),
inference(forward_subsumption_resolution,[],[f191,f143]) ).
fof(f220,plain,
! [X2,X3,X0,X1] :
( member(X0,X2)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f205,f143]) ).
fof(f221,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ member(X0,X2)
| ~ member(X1,X3)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f206,f143]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X1,X2),restrict(X0,X3))
| member(X2,X0)
| ~ ilf_type(X3,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f208,f143]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
inference(forward_subsumption_resolution,[],[f220,f143]) ).
fof(f229,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ member(X0,X2)
| ~ member(X1,X3) ),
inference(forward_subsumption_resolution,[],[f221,f143]) ).
fof(f231,plain,
! [X0] : restrict4(sK13,sK11,X0,sK14) = restrict(X0,sK14),
inference(resolution,[],[f213,f147]) ).
fof(f232,plain,
~ ilf_type(restrict(sK12,sK14),relation_type(sK13,sK12)),
inference(superposition,[],[f148,f231]) ).
fof(f233,plain,
! [X0] :
( ilf_type(restrict(X0,sK14),relation_type(sK13,sK11))
| ~ ilf_type(sK14,relation_type(sK13,sK11)) ),
inference(superposition,[],[f212,f231]) ).
fof(f234,plain,
! [X0] : ilf_type(restrict(X0,sK14),relation_type(sK13,sK11)),
inference(forward_subsumption_resolution,[],[f233,f147]) ).
fof(f242,plain,
! [X0,X1] :
( ~ member(X0,power_set(X1))
| ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f198,f214]) ).
fof(f244,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f194,f202]) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( relation_like(restrict4(X0,X1,X2,X3))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(resolution,[],[f244,f212]) ).
fof(f247,plain,
relation_like(sK14),
inference(resolution,[],[f244,f147]) ).
fof(f248,plain,
ilf_type(sK14,binary_relation_type),
inference(resolution,[],[f247,f171]) ).
fof(f261,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1))
| empty(power_set(X1)) ),
inference(resolution,[],[f197,f189]) ).
fof(f262,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f261,f159]) ).
fof(f263,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| member(X0,power_set(cross_product(X1,X2))) ),
inference(resolution,[],[f262,f202]) ).
fof(f265,plain,
! [X0] : member(restrict(X0,sK14),power_set(cross_product(sK13,sK11))),
inference(resolution,[],[f263,f234]) ).
fof(f272,plain,
! [X0,X1] :
( ~ member(X0,restrict(X1,sK14))
| member(X0,cross_product(sK13,sK11)) ),
inference(resolution,[],[f265,f215]) ).
fof(f284,plain,
! [X0,X1] :
( member(sK8(restrict(X0,sK14),X1),cross_product(sK13,sK11))
| member(restrict(X0,sK14),power_set(X1)) ),
inference(resolution,[],[f272,f192]) ).
fof(f312,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,restrict4(X1,X2,X3,X4))
| ordered_pair(sK6(X0),sK7(X0)) = X0
| ~ ilf_type(X4,relation_type(X1,X2)) ),
inference(resolution,[],[f195,f246]) ).
fof(f318,plain,
! [X2,X3,X0,X1,X4] :
( member(restrict4(X0,X1,X2,X3),power_set(X4))
| ~ ilf_type(X3,relation_type(X0,X1))
| sK8(restrict4(X0,X1,X2,X3),X4) = ordered_pair(sK6(sK8(restrict4(X0,X1,X2,X3),X4)),sK7(sK8(restrict4(X0,X1,X2,X3),X4))) ),
inference(resolution,[],[f312,f192]) ).
fof(f2849,plain,
! [X2,X3,X0,X1,X4] :
( ilf_type(restrict4(X1,X2,X3,X0),subset_type(X4))
| sK8(restrict4(X1,X2,X3,X0),X4) = ordered_pair(sK6(sK8(restrict4(X1,X2,X3,X0),X4)),sK7(sK8(restrict4(X1,X2,X3,X0),X4)))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(resolution,[],[f318,f242]) ).
fof(f2859,plain,
! [X0,X1] :
( ilf_type(restrict(X0,sK14),subset_type(X1))
| sK8(restrict(X0,sK14),X1) = ordered_pair(sK6(sK8(restrict(X0,sK14),X1)),sK7(sK8(restrict(X0,sK14),X1)))
| ~ ilf_type(sK14,relation_type(sK13,sK11)) ),
inference(superposition,[],[f2849,f231]) ).
fof(f2866,plain,
! [X0,X1] :
( ilf_type(restrict(X0,sK14),subset_type(X1))
| sK8(restrict(X0,sK14),X1) = ordered_pair(sK6(sK8(restrict(X0,sK14),X1)),sK7(sK8(restrict(X0,sK14),X1))) ),
inference(forward_subsumption_resolution,[],[f2859,f147]) ).
fof(f2868,definition,
( spl15_211
<=> ! [X0,X3] :
( ilf_type(restrict(X0,sK14),subset_type(X3))
| sK8(restrict(X0,sK14),X3) = ordered_pair(sK6(sK8(restrict(X0,sK14),X3)),sK7(sK8(restrict(X0,sK14),X3))) ) ),
introduced(definition,[new_symbols(definition,[spl15_211])],[avatar_definition]) ).
fof(f2869,plain,
( ! [X3,X0] :
( ilf_type(restrict(X0,sK14),subset_type(X3))
| sK8(restrict(X0,sK14),X3) = ordered_pair(sK6(sK8(restrict(X0,sK14),X3)),sK7(sK8(restrict(X0,sK14),X3))) )
| ~ spl15_211 ),
inference(avatar_component_clause,[],[f2868]) ).
fof(f2871,plain,
spl15_211,
inference(avatar_split_clause,[],[f2866,f2868]) ).
fof(f2873,plain,
( ! [X2,X0,X1] :
( ilf_type(restrict(X0,sK14),relation_type(X1,X2))
| sK8(restrict(X0,sK14),cross_product(X1,X2)) = ordered_pair(sK6(sK8(restrict(X0,sK14),cross_product(X1,X2))),sK7(sK8(restrict(X0,sK14),cross_product(X1,X2)))) )
| ~ spl15_211 ),
inference(resolution,[],[f2869,f203]) ).
fof(f3515,plain,
( sK8(restrict(sK12,sK14),cross_product(sK13,sK12)) = ordered_pair(sK6(sK8(restrict(sK12,sK14),cross_product(sK13,sK12))),sK7(sK8(restrict(sK12,sK14),cross_product(sK13,sK12))))
| ~ spl15_211 ),
inference(resolution,[],[f2873,f232]) ).
fof(f3545,plain,
( ! [X0,X1] :
( ~ member(sK8(restrict(sK12,sK14),cross_product(sK13,sK12)),restrict(X0,X1))
| member(sK7(sK8(restrict(sK12,sK14),cross_product(sK13,sK12))),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ spl15_211 ),
inference(superposition,[],[f223,f3515]) ).
fof(f3550,plain,
( ! [X0,X1] :
( ~ member(sK8(restrict(sK12,sK14),cross_product(sK13,sK12)),cross_product(X0,X1))
| member(sK6(sK8(restrict(sK12,sK14),cross_product(sK13,sK12))),X0) )
| ~ spl15_211 ),
inference(superposition,[],[f228,f3515]) ).
fof(f3551,plain,
( ! [X0,X1] :
( ~ member(sK6(sK8(restrict(sK12,sK14),cross_product(sK13,sK12))),X0)
| member(sK8(restrict(sK12,sK14),cross_product(sK13,sK12)),cross_product(X0,X1))
| ~ member(sK7(sK8(restrict(sK12,sK14),cross_product(sK13,sK12))),X1) )
| ~ spl15_211 ),
inference(superposition,[],[f229,f3515]) ).
fof(f3569,definition,
( spl15_242
<=> member(restrict(sK12,sK14),power_set(cross_product(sK13,sK12))) ),
introduced(definition,[new_symbols(definition,[spl15_242])],[avatar_definition]) ).
fof(f3570,plain,
( member(restrict(sK12,sK14),power_set(cross_product(sK13,sK12)))
| ~ spl15_242 ),
inference(avatar_component_clause,[],[f3569]) ).
fof(f3584,plain,
( member(sK6(sK8(restrict(sK12,sK14),cross_product(sK13,sK12))),sK13)
| member(restrict(sK12,sK14),power_set(cross_product(sK13,sK12)))
| ~ spl15_211 ),
inference(resolution,[],[f3550,f284]) ).
fof(f3586,plain,
( ilf_type(restrict(sK12,sK14),subset_type(cross_product(sK13,sK12)))
| ~ spl15_242 ),
inference(resolution,[],[f3570,f242]) ).
fof(f3588,plain,
( member(sK7(sK8(restrict(sK12,sK14),cross_product(sK13,sK12))),sK12)
| ~ ilf_type(sK14,binary_relation_type)
| member(restrict(sK12,sK14),power_set(cross_product(sK13,sK12)))
| ~ spl15_211 ),
inference(resolution,[],[f3545,f192]) ).
fof(f3592,plain,
( ilf_type(restrict(sK12,sK14),relation_type(sK13,sK12))
| ~ spl15_242 ),
inference(resolution,[],[f3586,f203]) ).
fof(f3595,plain,
( $false
| ~ spl15_242 ),
inference(forward_subsumption_resolution,[],[f3592,f232]) ).
fof(f3596,plain,
~ spl15_242,
inference(avatar_contradiction_clause,[],[f3595]) ).
fof(f3611,definition,
( spl15_248
<=> member(sK6(sK8(restrict(sK12,sK14),cross_product(sK13,sK12))),sK13) ),
introduced(definition,[new_symbols(definition,[spl15_248])],[avatar_definition]) ).
fof(f3612,plain,
( member(sK6(sK8(restrict(sK12,sK14),cross_product(sK13,sK12))),sK13)
| ~ spl15_248 ),
inference(avatar_component_clause,[],[f3611]) ).
fof(f3613,plain,
( spl15_242
| spl15_248
| ~ spl15_211 ),
inference(avatar_split_clause,[],[f3584,f2868,f3611,f3569]) ).
fof(f3614,plain,
( member(sK7(sK8(restrict(sK12,sK14),cross_product(sK13,sK12))),sK12)
| member(restrict(sK12,sK14),power_set(cross_product(sK13,sK12)))
| ~ spl15_211 ),
inference(forward_subsumption_resolution,[],[f3588,f248]) ).
fof(f3620,definition,
( spl15_250
<=> member(sK7(sK8(restrict(sK12,sK14),cross_product(sK13,sK12))),sK12) ),
introduced(definition,[new_symbols(definition,[spl15_250])],[avatar_definition]) ).
fof(f3621,plain,
( member(sK7(sK8(restrict(sK12,sK14),cross_product(sK13,sK12))),sK12)
| ~ spl15_250 ),
inference(avatar_component_clause,[],[f3620]) ).
fof(f3622,plain,
( spl15_242
| spl15_250
| ~ spl15_211 ),
inference(avatar_split_clause,[],[f3614,f2868,f3620,f3569]) ).
fof(f3656,plain,
( ! [X0] :
( ~ member(sK7(sK8(restrict(sK12,sK14),cross_product(sK13,sK12))),X0)
| member(sK8(restrict(sK12,sK14),cross_product(sK13,sK12)),cross_product(sK13,X0)) )
| ~ spl15_211
| ~ spl15_248 ),
inference(resolution,[],[f3551,f3612]) ).
fof(f3846,plain,
( member(sK8(restrict(sK12,sK14),cross_product(sK13,sK12)),cross_product(sK13,sK12))
| ~ spl15_211
| ~ spl15_248
| ~ spl15_250 ),
inference(resolution,[],[f3656,f3621]) ).
fof(f3853,plain,
( member(restrict(sK12,sK14),power_set(cross_product(sK13,sK12)))
| ~ spl15_211
| ~ spl15_248
| ~ spl15_250 ),
inference(resolution,[],[f3846,f193]) ).
fof(f3856,plain,
( spl15_242
| ~ spl15_211
| ~ spl15_248
| ~ spl15_250 ),
inference(avatar_split_clause,[],[f3853,f3620,f3611,f2868,f3569]) ).
cnf(s269,plain,
spl15_211,
inference(sat_conversion,[],[f2871]) ).
cnf(s295,plain,
~ spl15_242,
inference(sat_conversion,[],[f3596]) ).
cnf(s299,plain,
( ~ spl15_211
| spl15_242
| spl15_248 ),
inference(sat_conversion,[],[f3613]) ).
cnf(s301,plain,
( ~ spl15_211
| spl15_242
| spl15_250 ),
inference(sat_conversion,[],[f3622]) ).
cnf(s315,plain,
( ~ spl15_211
| spl15_242
| ~ spl15_248
| ~ spl15_250 ),
inference(sat_conversion,[],[f3856]) ).
cnf(s319,plain,
spl15_250,
inference(rat,[],[s301,s295,s269]) ).
cnf(s321,plain,
spl15_248,
inference(rat,[],[s299,s295,s269]) ).
cnf(s329,plain,
$false,
inference(rat,[],[s315,s269,s295,s319,s321]) ).
fof(f3858,plain,
$false,
inference(avatar_sat_refutation,[],[s329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET672+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n009.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 02:29:30 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 6.80/1.94 % (2611692)Detected formulas, will run a generic FOF schedule.
% 6.80/1.94 % (2611794)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=2737811386:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.80/1.94 % (2611793)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=1859534652:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.80/1.94 % (2611797)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3928930694:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.80/1.94 % (2611796)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1142600768:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.80/1.94 % (2611798)dis-21_1_sil=8000:lcm=predicate:random_seed=3914226403: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)
% 6.80/1.94 % (2611795)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4274692752:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.80/1.94 % (2611792)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=4038318090:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.80/1.94 % (2611795)Refutation not found, incomplete strategy
% 6.80/1.94 % (2611795)------------------------------
% 6.80/1.94 % (2611795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.94 % (2611795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.94 % (2611795)CaDiCaL version: 2.1.3
% 6.80/1.94 % (2611795)Termination reason: Refutation not found, incomplete strategy
% 6.80/1.94 % (2611795)Time elapsed: 0.002 s
% 6.80/1.94 % (2611795)Peak memory usage: 88 MB
% 6.80/1.94 % (2611795)Instructions burned: 1 (million)
% 6.80/1.94 % (2611798)Instruction limit reached!
% 6.80/1.94 % (2611798)------------------------------
% 6.80/1.94 % (2611798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.94 % (2611798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.94 % (2611798)CaDiCaL version: 2.1.3
% 6.80/1.94 % (2611798)Termination reason: Instruction limit
% 6.80/1.94 % (2611798)Termination phase: Saturation
% 6.80/1.94 % (2611798)Time elapsed: 0.068 s
% 6.80/1.94 % (2611798)Peak memory usage: 88 MB
% 6.80/1.94 % (2611798)Instructions burned: 130 (million)
% 6.80/1.94 % (2611796)Instruction limit reached!
% 6.80/1.94 % (2611796)------------------------------
% 6.80/1.94 % (2611796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.94 % (2611796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.94 % (2611796)CaDiCaL version: 2.1.3
% 6.80/1.94 % (2611796)Termination reason: Instruction limit
% 6.80/1.94 % (2611796)Termination phase: Saturation
% 6.80/1.94 % (2611796)Time elapsed: 0.069 s
% 6.80/1.94 % (2611796)Peak memory usage: 88 MB
% 6.80/1.94 % (2611796)Instructions burned: 120 (million)
% 6.80/1.94 % (2611797)Instruction limit reached!
% 6.80/1.94 % (2611797)------------------------------
% 6.80/1.94 % (2611797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.94 % (2611797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.94 % (2611797)CaDiCaL version: 2.1.3
% 6.80/1.94 % (2611797)Termination reason: Instruction limit
% 6.80/1.94 % (2611797)Termination phase: Saturation
% 6.80/1.94 % (2611797)Time elapsed: 0.101 s
% 6.80/1.94 % (2611797)Peak memory usage: 89 MB
% 6.80/1.94 % (2611797)Instructions burned: 140 (million)
% 6.80/1.94 % (2611813)lrs+10_1_sil=8000:sp=occurrence:random_seed=2843103278:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.80/1.94 % (2611814)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1595639581:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.80/1.94 % (2611795)------------------------------
% 6.80/1.94 % (2611795)------------------------------
% 6.80/1.94 % (2611815)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2480901678:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.80/1.94 % (2611814)Instruction limit reached!
% 6.80/1.94 % (2611814)------------------------------
% 6.80/1.94 % (2611814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.94 % (2611814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.94 % (2611814)CaDiCaL version: 2.1.3
% 6.80/1.94 % (2611814)Termination reason: Instruction limit
% 6.80/1.94 % (2611814)Termination phase: Saturation
% 6.80/1.94 % (2611814)Time elapsed: 0.081 s
% 6.80/1.94 % (2611814)Peak memory usage: 88 MB
% 6.80/1.94 % (2611814)Instructions burned: 159 (million)
% 6.80/1.94 % (2611813)Instruction limit reached!
% 6.80/1.94 % (2611813)------------------------------
% 6.80/1.94 % (2611813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.94 % (2611813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.94 % (2611813)CaDiCaL version: 2.1.3
% 6.80/1.94 % (2611813)Termination reason: Instruction limit
% 6.80/1.94 % (2611813)Termination phase: Saturation
% 6.80/1.94 % (2611813)Time elapsed: 0.175 s
% 6.80/1.94 % (2611813)Peak memory usage: 91 MB
% 6.80/1.94 % (2611813)Instructions burned: 286 (million)
% 6.80/1.94 % (2611848)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=227691923:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.80/1.94 % (2611850)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3867740942:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.80/1.94 % (2611850)Refutation not found, incomplete strategy
% 6.80/1.94 % (2611850)------------------------------
% 6.80/1.94 % (2611850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.94 % (2611850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.94 % (2611850)CaDiCaL version: 2.1.3
% 6.80/1.94 % (2611850)Termination reason: Refutation not found, incomplete strategy
% 6.80/1.94 % (2611850)Time elapsed: 0.003 s
% 6.80/1.94 % (2611850)Peak memory usage: 88 MB
% 6.80/1.94 % (2611850)Instructions burned: 3 (million)
% 6.80/1.94 % (2611815)Instruction limit reached!
% 6.80/1.94 % (2611815)------------------------------
% 6.80/1.94 % (2611815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.94 % (2611815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.94 % (2611815)CaDiCaL version: 2.1.3
% 6.80/1.94 % (2611815)Termination reason: Instruction limit
% 6.80/1.94 % (2611815)Termination phase: Saturation
% 6.80/1.94 % (2611815)Time elapsed: 0.215 s
% 6.80/1.94 % (2611815)Peak memory usage: 91 MB
% 6.80/1.94 % (2611815)Instructions burned: 326 (million)
% 6.80/1.94 % (2611848)Instruction limit reached!
% 6.80/1.94 % (2611848)------------------------------
% 6.80/1.94 % (2611848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.94 % (2611848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.94 % (2611848)CaDiCaL version: 2.1.3
% 6.80/1.94 % (2611848)Termination reason: Instruction limit
% 6.80/1.94 % (2611848)Termination phase: Saturation
% 6.80/1.94 % (2611848)Time elapsed: 0.154 s
% 6.80/1.94 % (2611848)Peak memory usage: 92 MB
% 6.80/1.94 % (2611848)Instructions burned: 249 (million)
% 6.80/1.94 % (2611869)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4060160129:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.80/1.94 % (2611893)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1480123476:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.80/1.94 % (2611850)------------------------------
% 6.80/1.94 % (2611850)------------------------------
% 6.80/1.94 % (2611893)Instruction limit reached!
% 6.80/1.94 % (2611893)------------------------------
% 6.80/1.94 % (2611893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.94 % (2611893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.94 % (2611893)CaDiCaL version: 2.1.3
% 6.80/1.94 % (2611893)Termination reason: Instruction limit
% 6.80/1.94 % (2611893)Termination phase: Saturation
% 6.80/1.94 % (2611893)Time elapsed: 0.070 s
% 6.80/1.94 % (2611893)Peak memory usage: 89 MB
% 6.80/1.94 % (2611893)Instructions burned: 113 (million)
% 6.80/1.94 % (2611793)First to succeed.
% 6.80/1.94 % (2611793)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2611692"
% 6.80/1.94 % (2611794)Also succeeded, but the first one will report.
% 6.80/1.94 % (2611895)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=427952808:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.80/1.94 % (2611792)Also succeeded, but the first one will report.
% 6.80/1.94 % (2611895)Instruction limit reached!
% 6.80/1.94 % (2611895)------------------------------
% 6.80/1.94 % (2611895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.94 % (2611895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.94 % (2611895)CaDiCaL version: 2.1.3
% 6.80/1.94 % (2611895)Termination reason: Instruction limit
% 6.80/1.94 % (2611895)Termination phase: Saturation
% 6.80/1.94 % (2611895)Time elapsed: 0.069 s
% 6.80/1.94 % (2611895)Peak memory usage: 89 MB
% 6.80/1.94 % (2611895)Instructions burned: 129 (million)
% 6.80/1.94 % (2611897)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=365846958:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.80/1.94 % (2611898)lrs+10_1_sil=8000:sp=occurrence:random_seed=1721435825:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.80/1.94 % (2611793)Refutation found. Thanks to Tanya!
% 6.80/1.94 % SZS status Theorem for theBenchmark
% 6.80/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.14 % (2611793)------------------------------
% 0.16/2.14 % (2611793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.14 % (2611793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.14 % (2611793)CaDiCaL version: 2.1.3
% 0.16/2.14 % (2611793)Termination reason: Refutation
% 0.16/2.14 % (2611793)Time elapsed: 0.725 s
% 0.16/2.14 % (2611793)Peak memory usage: 137 MB
% 0.16/2.14 % (2611793)Instructions burned: 1769 (million)
% 0.16/2.14 % (2611793)------------------------------
% 0.16/2.14 % (2611793)------------------------------
% 0.16/2.14 % (2611692)Success in time 1.058 s
% 0.16/2.14 % Vampire exiting
%------------------------------------------------------------------------------