%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET670+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 12:41:35 PM UTC 2026
% Result : Theorem 7.27s 1.99s
% Output : Refutation 10.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 24
% Syntax : Number of formulae : 204 ( 29 unt; 9 def)
% Number of atoms : 734 ( 33 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 915 ( 385 ~; 390 |; 69 &)
% ( 25 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-4 aty)
% Number of variables : 386 ( 0 sgn 366 !; 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(X3,X0))
<=> ( member(X1,X0)
& member(ordered_pair(X1,X2),X3) ) ) ) ) ) ),
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,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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',p24) ).
fof(f26,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',p26) ).
fof(f27,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)
=> ilf_type(restrict4(X0,X1,X2,X3),relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).
fof(f28,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/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(X0,X2))
=> ilf_type(restrict4(X0,X2,X3,X1),relation_type(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_33) ).
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(X0,X2))
=> ilf_type(restrict4(X0,X2,X3,X1),relation_type(X1,X2)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f34,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,[],[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,set_type) )
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ 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,set_type) )
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f27]) ).
fof(f65,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(restrict4(X0,X2,X3,X1),relation_type(X1,X2))
& ilf_type(X3,relation_type(X0,X2)) )
& 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(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,[],[f34]) ).
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(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(sK11,sK13,sK14,sK12),relation_type(sK12,sK13))
& ilf_type(sK14,relation_type(sK11,sK13))
& 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(X1,X0)
| ~ 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(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(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,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ 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,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ 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(sK11,sK13)),
inference(cnf_transformation,[],[f90]) ).
fof(f148,plain,
~ ilf_type(restrict4(sK11,sK13,sK14,sK12),relation_type(sK12,sK13)),
inference(cnf_transformation,[],[f90]) ).
fof(f150,definition,
sF15 = restrict4(sK11,sK13,sK14,sK12),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f151,plain,
restrict4(sK11,sK13,sK14,sK12) = sF15,
inference(reorient_equations,[],[f150]) ).
fof(f152,definition,
sF16 = relation_type(sK12,sK13),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f153,plain,
relation_type(sK12,sK13) = sF16,
inference(reorient_equations,[],[f152]) ).
fof(f154,plain,
~ ilf_type(sF15,sF16),
inference(definition_folding,[],[f148,f153,f151]) ).
fof(f155,definition,
sF17 = relation_type(sK11,sK13),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f156,plain,
relation_type(sK11,sK13) = sF17,
inference(reorient_equations,[],[f155]) ).
fof(f157,plain,
ilf_type(sK14,sF17),
inference(definition_folding,[],[f147,f156]) ).
fof(f159,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(duplicate_literal_removal,[],[f113]) ).
fof(f160,plain,
! [X2,X3,X0,X1] :
( ilf_type(restrict4(X0,X1,X2,X3),relation_type(X0,X1))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f142,f143]) ).
fof(f161,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,[],[f141,f143]) ).
fof(f163,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f137,f143]) ).
fof(f166,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(f167,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(f168,plain,
! [X0] : ~ empty(power_set(X0)),
inference(forward_subsumption_resolution,[],[f133,f143]) ).
fof(f169,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(f170,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(f171,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(f172,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(f173,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(f177,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(f178,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(f180,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(forward_subsumption_resolution,[],[f159,f143]) ).
fof(f185,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(f186,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(f187,plain,
! [X2,X3,X0,X1] :
( member(X1,X3)
| ~ 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,[],[f100,f143]) ).
fof(f189,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(f191,plain,
! [X2,X3,X0,X1] :
( member(X1,X0)
| ~ 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,f143]) ).
fof(f195,plain,
! [X2,X3,X0,X1] :
( ilf_type(restrict4(X0,X1,X2,X3),relation_type(X0,X1))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f160,f143]) ).
fof(f196,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,[],[f161,f143]) ).
fof(f197,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0) ),
inference(forward_subsumption_resolution,[],[f163,f143]) ).
fof(f198,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(forward_subsumption_resolution,[],[f166,f143]) ).
fof(f199,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1) ),
inference(forward_subsumption_resolution,[],[f167,f143]) ).
fof(f200,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f169,f143]) ).
fof(f201,plain,
! [X0,X1] :
( member(sK8(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f170,f143]) ).
fof(f202,plain,
! [X0,X1] :
( ~ member(sK8(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f171,f143]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(forward_subsumption_resolution,[],[f172,f143]) ).
fof(f204,plain,
! [X0,X4] :
( ~ member(X4,X0)
| ordered_pair(sK6(X4),sK7(X4)) = X4
| ~ relation_like(X0) ),
inference(forward_subsumption_resolution,[],[f173,f143]) ).
fof(f206,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f177,f143]) ).
fof(f207,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f178,f143]) ).
fof(f211,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f185,f143]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f186,f143]) ).
fof(f213,plain,
! [X2,X3,X0,X1] :
( member(X1,X3)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f187,f143]) ).
fof(f215,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,[],[f189,f143]) ).
fof(f217,plain,
! [X2,X3,X0,X1] :
( member(X1,X0)
| ~ member(ordered_pair(X1,X2),restrict(X3,X0))
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f191,f143]) ).
fof(f221,plain,
! [X2,X3,X0,X1] :
( ilf_type(restrict4(X0,X1,X2,X3),relation_type(X0,X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f195,f143]) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| restrict4(X0,X1,X2,X3) = restrict(X2,X3) ),
inference(forward_subsumption_resolution,[],[f196,f143]) ).
fof(f223,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(forward_subsumption_resolution,[],[f199,f197]) ).
fof(f224,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| member(X3,X1) ),
inference(forward_subsumption_resolution,[],[f200,f143]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( member(X1,X3)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f213,f143]) ).
fof(f230,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,[],[f215,f143]) ).
fof(f232,plain,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X1,X2),restrict(X3,X0))
| member(X1,X0)
| ~ ilf_type(X3,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f217,f143]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
inference(forward_subsumption_resolution,[],[f228,f143]) ).
fof(f238,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ member(X0,X2)
| ~ member(X1,X3) ),
inference(forward_subsumption_resolution,[],[f230,f143]) ).
fof(f239,plain,
( ilf_type(sF15,relation_type(sK11,sK13))
| ~ ilf_type(sK14,relation_type(sK11,sK13)) ),
inference(superposition,[],[f221,f151]) ).
fof(f242,plain,
( ilf_type(sF15,sF17)
| ~ ilf_type(sK14,relation_type(sK11,sK13)) ),
inference(forward_demodulation,[],[f239,f156]) ).
fof(f243,plain,
( ~ ilf_type(sK14,sF17)
| ilf_type(sF15,sF17) ),
inference(forward_demodulation,[],[f242,f156]) ).
fof(f244,plain,
ilf_type(sF15,sF17),
inference(forward_subsumption_resolution,[],[f243,f157]) ).
fof(f247,plain,
! [X0,X1] :
( ~ ilf_type(X0,sF17)
| restrict(X0,X1) = restrict4(sK11,sK13,X0,X1) ),
inference(superposition,[],[f222,f156]) ).
fof(f248,plain,
! [X0] : restrict(sK14,X0) = restrict4(sK11,sK13,sK14,X0),
inference(resolution,[],[f247,f157]) ).
fof(f251,plain,
sF15 = restrict(sK14,sK12),
inference(superposition,[],[f151,f248]) ).
fof(f260,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f203,f211]) ).
fof(f263,plain,
! [X0] :
( ~ ilf_type(X0,sF17)
| relation_like(X0) ),
inference(superposition,[],[f260,f156]) ).
fof(f265,plain,
relation_like(sK14),
inference(resolution,[],[f263,f157]) ).
fof(f266,plain,
relation_like(sF15),
inference(resolution,[],[f263,f244]) ).
fof(f277,plain,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),sF15)
| member(X0,sK12)
| ~ ilf_type(sK14,binary_relation_type) ),
inference(superposition,[],[f232,f251]) ).
fof(f279,definition,
( spl18_1
<=> ilf_type(sK14,binary_relation_type) ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f281,plain,
( ~ ilf_type(sK14,binary_relation_type)
| spl18_1 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f283,definition,
( spl18_2
<=> ! [X0,X1] :
( ~ member(ordered_pair(X0,X1),sF15)
| member(X0,sK12) ) ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f284,plain,
( ! [X0,X1] :
( ~ member(ordered_pair(X0,X1),sF15)
| member(X0,sK12) )
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f285,plain,
( ~ spl18_1
| spl18_2 ),
inference(avatar_split_clause,[],[f277,f283,f279]) ).
fof(f286,plain,
( ~ relation_like(sK14)
| spl18_1 ),
inference(resolution,[],[f281,f180]) ).
fof(f287,plain,
( $false
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f286,f265]) ).
fof(f288,plain,
spl18_1,
inference(avatar_contradiction_clause,[],[f287]) ).
fof(f291,plain,
! [X0,X1] :
( ~ member(X0,power_set(X1))
| ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f207,f223]) ).
fof(f298,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| empty(power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f198,f206]) ).
fof(f299,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f298,f168]) ).
fof(f300,plain,
! [X2,X0,X1] :
( member(X0,power_set(cross_product(X1,X2)))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(resolution,[],[f299,f211]) ).
fof(f304,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ member(X3,X0)
| member(X3,cross_product(X1,X2)) ),
inference(resolution,[],[f300,f224]) ).
fof(f331,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,restrict4(X1,X2,X3,X4))
| member(X0,cross_product(X1,X2))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(resolution,[],[f304,f221]) ).
fof(f408,plain,
! [X0] :
( ~ member(X0,sF15)
| member(X0,cross_product(sK11,sK13))
| ~ ilf_type(sK14,relation_type(sK11,sK13)) ),
inference(superposition,[],[f331,f151]) ).
fof(f415,plain,
! [X0] :
( ~ ilf_type(sK14,sF17)
| ~ member(X0,sF15)
| member(X0,cross_product(sK11,sK13)) ),
inference(forward_demodulation,[],[f408,f156]) ).
fof(f419,plain,
! [X0] :
( member(X0,cross_product(sK11,sK13))
| ~ member(X0,sF15) ),
inference(forward_subsumption_resolution,[],[f415,f157]) ).
fof(f421,plain,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),sF15)
| member(X1,sK13) ),
inference(resolution,[],[f419,f236]) ).
fof(f459,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ relation_like(X0)
| sK8(X0,X1) = ordered_pair(sK6(sK8(X0,X1)),sK7(sK8(X0,X1))) ),
inference(resolution,[],[f204,f201]) ).
fof(f491,plain,
! [X0,X1] :
( ilf_type(X0,subset_type(X1))
| sK8(X0,X1) = ordered_pair(sK6(sK8(X0,X1)),sK7(sK8(X0,X1)))
| ~ relation_like(X0) ),
inference(resolution,[],[f459,f291]) ).
fof(f496,plain,
! [X2,X0,X1] :
( ilf_type(X0,relation_type(X1,X2))
| ~ relation_like(X0)
| sK8(X0,cross_product(X1,X2)) = ordered_pair(sK6(sK8(X0,cross_product(X1,X2))),sK7(sK8(X0,cross_product(X1,X2)))) ),
inference(resolution,[],[f491,f212]) ).
fof(f1116,plain,
! [X0] :
( ilf_type(X0,sF16)
| ~ relation_like(X0)
| sK8(X0,cross_product(sK12,sK13)) = ordered_pair(sK6(sK8(X0,cross_product(sK12,sK13))),sK7(sK8(X0,cross_product(sK12,sK13)))) ),
inference(superposition,[],[f496,f153]) ).
fof(f1134,plain,
( ~ relation_like(sF15)
| sK8(sF15,cross_product(sK12,sK13)) = ordered_pair(sK6(sK8(sF15,cross_product(sK12,sK13))),sK7(sK8(sF15,cross_product(sK12,sK13)))) ),
inference(resolution,[],[f1116,f154]) ).
fof(f1135,plain,
sK8(sF15,cross_product(sK12,sK13)) = ordered_pair(sK6(sK8(sF15,cross_product(sK12,sK13))),sK7(sK8(sF15,cross_product(sK12,sK13)))),
inference(forward_subsumption_resolution,[],[f1134,f266]) ).
fof(f1146,plain,
! [X0,X1] :
( member(sK8(sF15,cross_product(sK12,sK13)),cross_product(X0,X1))
| ~ member(sK6(sK8(sF15,cross_product(sK12,sK13))),X0)
| ~ member(sK7(sK8(sF15,cross_product(sK12,sK13))),X1) ),
inference(superposition,[],[f238,f1135]) ).
fof(f1147,plain,
( ~ member(sK8(sF15,cross_product(sK12,sK13)),sF15)
| member(sK6(sK8(sF15,cross_product(sK12,sK13))),sK12)
| ~ spl18_2 ),
inference(superposition,[],[f284,f1135]) ).
fof(f1151,plain,
( ~ member(sK8(sF15,cross_product(sK12,sK13)),sF15)
| member(sK7(sK8(sF15,cross_product(sK12,sK13))),sK13) ),
inference(superposition,[],[f421,f1135]) ).
fof(f1158,definition,
( spl18_62
<=> member(sK7(sK8(sF15,cross_product(sK12,sK13))),sK13) ),
introduced(definition,[new_symbols(definition,[spl18_62])],[avatar_definition]) ).
fof(f1160,plain,
( member(sK7(sK8(sF15,cross_product(sK12,sK13))),sK13)
| ~ spl18_62 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f1175,definition,
( spl18_66
<=> member(sK6(sK8(sF15,cross_product(sK12,sK13))),sK12) ),
introduced(definition,[new_symbols(definition,[spl18_66])],[avatar_definition]) ).
fof(f1177,plain,
( member(sK6(sK8(sF15,cross_product(sK12,sK13))),sK12)
| ~ spl18_66 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1192,definition,
( spl18_70
<=> member(sK8(sF15,cross_product(sK12,sK13)),sF15) ),
introduced(definition,[new_symbols(definition,[spl18_70])],[avatar_definition]) ).
fof(f1194,plain,
( ~ member(sK8(sF15,cross_product(sK12,sK13)),sF15)
| spl18_70 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f1195,plain,
( spl18_62
| ~ spl18_70 ),
inference(avatar_split_clause,[],[f1151,f1192,f1158]) ).
fof(f1199,plain,
( spl18_66
| ~ spl18_70
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f1147,f283,f1192,f1175]) ).
fof(f1247,definition,
( spl18_79
<=> member(sF15,power_set(cross_product(sK12,sK13))) ),
introduced(definition,[new_symbols(definition,[spl18_79])],[avatar_definition]) ).
fof(f1248,plain,
( ~ member(sF15,power_set(cross_product(sK12,sK13)))
| spl18_79 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1249,plain,
( member(sF15,power_set(cross_product(sK12,sK13)))
| ~ spl18_79 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1271,plain,
( member(sF15,power_set(cross_product(sK12,sK13)))
| spl18_70 ),
inference(resolution,[],[f1194,f201]) ).
fof(f1274,plain,
( ilf_type(sF15,subset_type(cross_product(sK12,sK13)))
| ~ spl18_79 ),
inference(resolution,[],[f1249,f291]) ).
fof(f1281,plain,
( ilf_type(sF15,relation_type(sK12,sK13))
| ~ spl18_79 ),
inference(resolution,[],[f1274,f212]) ).
fof(f1283,plain,
( ilf_type(sF15,sF16)
| ~ spl18_79 ),
inference(forward_demodulation,[],[f1281,f153]) ).
fof(f1284,plain,
( $false
| ~ spl18_79 ),
inference(forward_subsumption_resolution,[],[f1283,f154]) ).
fof(f1285,plain,
~ spl18_79,
inference(avatar_contradiction_clause,[],[f1284]) ).
fof(f1288,plain,
( $false
| spl18_70
| spl18_79 ),
inference(forward_subsumption_resolution,[],[f1271,f1248]) ).
fof(f1289,plain,
( spl18_70
| spl18_79 ),
inference(avatar_contradiction_clause,[],[f1288]) ).
fof(f1392,plain,
( ~ member(sK6(sK8(sF15,cross_product(sK12,sK13))),sK12)
| ~ member(sK7(sK8(sF15,cross_product(sK12,sK13))),sK13)
| member(sF15,power_set(cross_product(sK12,sK13))) ),
inference(resolution,[],[f1146,f202]) ).
fof(f1405,plain,
( ~ member(sK7(sK8(sF15,cross_product(sK12,sK13))),sK13)
| member(sF15,power_set(cross_product(sK12,sK13)))
| ~ spl18_66 ),
inference(forward_subsumption_resolution,[],[f1392,f1177]) ).
fof(f1406,plain,
( member(sF15,power_set(cross_product(sK12,sK13)))
| ~ spl18_62
| ~ spl18_66 ),
inference(forward_subsumption_resolution,[],[f1405,f1160]) ).
fof(f1407,plain,
( $false
| ~ spl18_62
| ~ spl18_66
| spl18_79 ),
inference(forward_subsumption_resolution,[],[f1406,f1248]) ).
fof(f1408,plain,
( ~ spl18_62
| ~ spl18_66
| spl18_79 ),
inference(avatar_contradiction_clause,[],[f1407]) ).
cnf(s1,plain,
( ~ spl18_1
| spl18_2 ),
inference(sat_conversion,[],[f285]) ).
cnf(s2,plain,
spl18_1,
inference(sat_conversion,[],[f288]) ).
cnf(s51,plain,
( spl18_62
| ~ spl18_70 ),
inference(sat_conversion,[],[f1195]) ).
cnf(s55,plain,
( ~ spl18_2
| spl18_66
| ~ spl18_70 ),
inference(sat_conversion,[],[f1199]) ).
cnf(s64,plain,
~ spl18_79,
inference(sat_conversion,[],[f1285]) ).
cnf(s65,plain,
( spl18_70
| spl18_79 ),
inference(sat_conversion,[],[f1289]) ).
cnf(s67,plain,
( ~ spl18_62
| ~ spl18_66
| spl18_79 ),
inference(sat_conversion,[],[f1408]) ).
cnf(s68,plain,
spl18_70,
inference(rat,[],[s65,s64]) ).
cnf(s71,plain,
( ~ spl18_2
| spl18_66 ),
inference(rat,[],[s55,s68]) ).
cnf(s74,plain,
spl18_62,
inference(rat,[],[s51,s68]) ).
cnf(s75,plain,
~ spl18_66,
inference(rat,[],[s67,s64,s74]) ).
cnf(s76,plain,
~ spl18_2,
inference(rat,[],[s71,s75]) ).
cnf(s85,plain,
$false,
inference(rat,[],[s1,s76,s2]) ).
fof(f1409,plain,
$false,
inference(avatar_sat_refutation,[],[s85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET670+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 02:31:41 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.27/1.99 % (3417328)Detected formulas, will run a generic FOF schedule.
% 7.27/1.99 % (3417344)dis-21_1_sil=8000:lcm=predicate:random_seed=1488175393: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)
% 7.27/1.99 % (3417340)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=1607059486:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.27/1.99 % (3417338)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=753379566:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.27/1.99 % (3417343)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2888261122:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.27/1.99 % (3417342)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2500518145:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.27/1.99 % (3417339)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=323045031:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.27/1.99 % (3417344)Instruction limit reached!
% 7.27/1.99 % (3417344)------------------------------
% 7.27/1.99 % (3417344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.99 % (3417344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.99 % (3417344)CaDiCaL version: 2.1.3
% 7.27/1.99 % (3417344)Termination reason: Instruction limit
% 7.27/1.99 % (3417344)Termination phase: Saturation
% 7.27/1.99 % (3417344)Time elapsed: 0.037 s
% 7.27/1.99 % (3417344)Peak memory usage: 89 MB
% 7.27/1.99 % (3417344)Instructions burned: 133 (million)
% 7.27/1.99 % (3417341)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4288402864:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.27/1.99 % (3417341)Refutation not found, incomplete strategy
% 7.27/1.99 % (3417341)------------------------------
% 7.27/1.99 % (3417341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.99 % (3417341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.99 % (3417341)CaDiCaL version: 2.1.3
% 7.27/1.99 % (3417341)Termination reason: Refutation not found, incomplete strategy
% 7.27/1.99 % (3417341)Time elapsed: 0.002 s
% 7.27/1.99 % (3417341)Peak memory usage: 88 MB
% 7.27/1.99 % (3417341)Instructions burned: 1 (million)
% 7.27/1.99 % (3417342)Instruction limit reached!
% 7.27/1.99 % (3417342)------------------------------
% 7.27/1.99 % (3417342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.99 % (3417342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.99 % (3417342)CaDiCaL version: 2.1.3
% 7.27/1.99 % (3417342)Termination reason: Instruction limit
% 7.27/1.99 % (3417342)Termination phase: Saturation
% 7.27/1.99 % (3417342)Time elapsed: 0.068 s
% 7.27/1.99 % (3417342)Peak memory usage: 88 MB
% 7.27/1.99 % (3417342)Instructions burned: 121 (million)
% 7.27/1.99 % (3417343)Instruction limit reached!
% 7.27/1.99 % (3417343)------------------------------
% 7.27/1.99 % (3417343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.99 % (3417343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.99 % (3417343)CaDiCaL version: 2.1.3
% 7.27/1.99 % (3417343)Termination reason: Instruction limit
% 7.27/1.99 % (3417343)Termination phase: Saturation
% 7.27/1.99 % (3417343)Time elapsed: 0.102 s
% 7.27/1.99 % (3417343)Peak memory usage: 89 MB
% 7.27/1.99 % (3417343)Instructions burned: 140 (million)
% 7.27/1.99 % (3417364)lrs+10_1_sil=8000:sp=occurrence:random_seed=297568517:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.27/1.99 % (3417366)lrs+10_1_sil=32000:urr=on:br=off:random_seed=77338306:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.27/1.99 % (3417364)Instruction limit reached!
% 7.27/1.99 % (3417364)------------------------------
% 7.27/1.99 % (3417364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.99 % (3417364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.99 % (3417364)CaDiCaL version: 2.1.3
% 7.27/1.99 % (3417364)Termination reason: Instruction limit
% 7.27/1.99 % (3417364)Termination phase: Saturation
% 7.27/1.99 % (3417364)Time elapsed: 0.095 s
% 7.27/1.99 % (3417364)Peak memory usage: 91 MB
% 7.27/1.99 % (3417364)Instructions burned: 287 (million)
% 7.27/1.99 % (3417367)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3858148359:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.27/1.99 % (3417341)------------------------------
% 7.27/1.99 % (3417341)------------------------------
% 7.27/1.99 % (3417366)Instruction limit reached!
% 7.27/1.99 % (3417366)------------------------------
% 7.27/1.99 % (3417366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.99 % (3417366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.99 % (3417366)CaDiCaL version: 2.1.3
% 7.27/1.99 % (3417366)Termination reason: Instruction limit
% 7.27/1.99 % (3417366)Termination phase: Saturation
% 7.27/1.99 % (3417366)Time elapsed: 0.084 s
% 7.27/1.99 % (3417366)Peak memory usage: 88 MB
% 7.27/1.99 % (3417366)Instructions burned: 157 (million)
% 7.27/1.99 % (3417371)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=562697557:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.27/1.99 % (3417372)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1277063651:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 7.27/1.99 % (3417372)Refutation not found, incomplete strategy
% 7.27/1.99 % (3417372)------------------------------
% 7.27/1.99 % (3417372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.99 % (3417372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.99 % (3417372)CaDiCaL version: 2.1.3
% 7.27/1.99 % (3417372)Termination reason: Refutation not found, incomplete strategy
% 7.27/1.99 % (3417372)Time elapsed: 0.003 s
% 7.27/1.99 % (3417372)Peak memory usage: 88 MB
% 7.27/1.99 % (3417372)Instructions burned: 3 (million)
% 7.27/1.99 % (3417371)Instruction limit reached!
% 7.27/1.99 % (3417371)------------------------------
% 7.27/1.99 % (3417371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.99 % (3417371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.99 % (3417371)CaDiCaL version: 2.1.3
% 7.27/1.99 % (3417371)Termination reason: Instruction limit
% 7.27/1.99 % (3417371)Termination phase: Saturation
% 7.27/1.99 % (3417371)Time elapsed: 0.082 s
% 7.27/1.99 % (3417371)Peak memory usage: 91 MB
% 7.27/1.99 % (3417371)Instructions burned: 251 (million)
% 7.27/1.99 % (3417373)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=623160010:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.27/1.99 % (3417367)Instruction limit reached!
% 7.27/1.99 % (3417367)------------------------------
% 7.27/1.99 % (3417367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.99 % (3417367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.99 % (3417367)CaDiCaL version: 2.1.3
% 7.27/1.99 % (3417367)Termination reason: Instruction limit
% 7.27/1.99 % (3417367)Termination phase: Saturation
% 7.27/1.99 % (3417367)Time elapsed: 0.216 s
% 7.27/1.99 % (3417367)Peak memory usage: 91 MB
% 7.27/1.99 % (3417367)Instructions burned: 325 (million)
% 7.27/1.99 % (3417376)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=78404493:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.27/1.99 % (3417376)Instruction limit reached!
% 7.27/1.99 % (3417376)------------------------------
% 7.27/1.99 % (3417376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.99 % (3417376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.99 % (3417376)CaDiCaL version: 2.1.3
% 7.27/1.99 % (3417376)Termination reason: Instruction limit
% 7.27/1.99 % (3417376)Termination phase: Saturation
% 7.27/1.99 % (3417376)Time elapsed: 0.055 s
% 7.27/1.99 % (3417376)Peak memory usage: 90 MB
% 7.27/1.99 % (3417376)Instructions burned: 114 (million)
% 7.27/1.99 % (3417379)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3085134288:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.27/1.99 % (3417388)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1508703459:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 7.27/1.99 % (3417372)------------------------------
% 7.27/1.99 % (3417372)------------------------------
% 7.27/1.99 % (3417388)Instruction limit reached!
% 7.27/1.99 % (3417388)------------------------------
% 7.27/1.99 % (3417388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.99 % (3417388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.99 % (3417388)CaDiCaL version: 2.1.3
% 7.27/1.99 % (3417388)Termination reason: Instruction limit
% 7.27/1.99 % (3417388)Termination phase: Saturation
% 7.27/1.99 % (3417388)Time elapsed: 0.044 s
% 7.27/1.99 % (3417388)Peak memory usage: 89 MB
% 7.27/1.99 % (3417388)Instructions burned: 117 (million)
% 7.27/1.99 % (3417379)Instruction limit reached!
% 7.27/1.99 % (3417379)------------------------------
% 7.27/1.99 % (3417379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.99 % (3417379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.99 % (3417379)CaDiCaL version: 2.1.3
% 7.27/1.99 % (3417379)Termination reason: Instruction limit
% 7.27/1.99 % (3417379)Termination phase: Saturation
% 7.27/1.99 % (3417379)Time elapsed: 0.114 s
% 7.27/1.99 % (3417379)Peak memory usage: 89 MB
% 7.27/1.99 % (3417379)Instructions burned: 127 (million)
% 7.27/1.99 % (3417338)First to succeed.
% 7.27/1.99 % (3417399)lrs+10_1_sil=8000:sp=occurrence:random_seed=70419833:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.27/1.99 % (3417338)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3417328"
% 7.27/1.99 % (3417340)Also succeeded, but the first one will report.
% 7.27/1.99 % (3417401)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4085275573:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 7.27/1.99 % (3417400)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=932939162:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.27/1.99 % (3417400)Refutation not found, incomplete strategy
% 7.27/1.99 % (3417400)------------------------------
% 7.27/1.99 % (3417400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/1.99 % (3417400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/1.99 % (3417400)CaDiCaL version: 2.1.3
% 7.27/1.99 % (3417400)Termination reason: Refutation not found, incomplete strategy
% 7.27/1.99 % (3417400)Time elapsed: 0.005 s
% 7.27/1.99 % (3417400)Peak memory usage: 88 MB
% 7.27/1.99 % (3417400)Instructions burned: 3 (million)
% 7.27/1.99 % (3417338)Refutation found. Thanks to Tanya!
% 7.27/1.99 % SZS status Theorem for theBenchmark
% 7.27/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 10.04/2.18 % (3417338)------------------------------
% 10.04/2.18 % (3417338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.18 % (3417338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.18 % (3417338)CaDiCaL version: 2.1.3
% 10.04/2.18 % (3417338)Termination reason: Refutation
% 10.04/2.18 % (3417338)Time elapsed: 0.890 s
% 10.04/2.18 % (3417338)Peak memory usage: 130 MB
% 10.04/2.18 % (3417338)Instructions burned: 1130 (million)
% 10.04/2.18 % (3417338)------------------------------
% 10.04/2.18 % (3417338)------------------------------
% 10.04/2.18 % (3417328)Success in time 1.365 s
% 10.04/2.18 % Vampire exiting
%------------------------------------------------------------------------------