%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET678+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 : n015.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 12:41:37 PM UTC 2026
% Result : Theorem 4.16s 1.56s
% Output : Refutation 5.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 25
% Syntax : Number of formulae : 175 ( 24 unt; 8 def)
% Number of atoms : 570 ( 58 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 682 ( 287 ~; 293 |; 38 &)
% ( 19 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-3 aty)
% Number of variables : 253 ( 0 sgn 247 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(domain_of(X1),X0)
=> compose(identity_relation_of(X0),X1) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(range_of(X1),X0)
=> compose(X1,identity_relation_of(X0)) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
fof(f13,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',p13) ).
fof(f15,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',p15) ).
fof(f19,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
fof(f22,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',p22) ).
fof(f25,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',p25) ).
fof(f26,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',p26) ).
fof(f27,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',p27) ).
fof(f28,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',p28) ).
fof(f32,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain(X0,X1,X2) = domain_of(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32) ).
fof(f33,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33) ).
fof(f34,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range(X0,X1,X2) = range_of(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34) ).
fof(f35,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(range(X0,X1,X2),subset_type(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35) ).
fof(f38,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p38) ).
fof(f39,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,identity_relation_of_type(X0))
=> ( compose(X1,identity_relation_of(X0)) = X1
& compose(identity_relation_of(X0),X1) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_45) ).
fof(f40,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,identity_relation_of_type(X0))
=> ( compose(X1,identity_relation_of(X0)) = X1
& compose(identity_relation_of(X0),X1) = X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( compose(identity_relation_of(X0),X1) = X1
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( compose(identity_relation_of(X0),X1) = X1
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( compose(X1,identity_relation_of(X0)) = X1
| ~ subset(range_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( compose(X1,identity_relation_of(X0)) = X1
| ~ subset(range_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f43]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f7]) ).
fof(f55,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f13]) ).
fof(f56,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,[],[f15]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f19]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f61]) ).
fof(f65,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,[],[f22]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f25]) ).
fof(f70,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,[],[f26]) ).
fof(f71,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,[],[f70]) ).
fof(f72,plain,
! [X0] :
( ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f27]) ).
fof(f73,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,[],[f28]) ).
fof(f74,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,[],[f73]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f32]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f33]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f34]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f35]) ).
fof(f86,plain,
? [X0] :
( ? [X1] :
( ( compose(X1,identity_relation_of(X0)) != X1
| compose(identity_relation_of(X0),X1) != X1 )
& ilf_type(X1,identity_relation_of_type(X0)) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f40]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0)) )
& ( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f49]) ).
fof(f98,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,[],[f55]) ).
fof(f99,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,[],[f98]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f62]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f102]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ member(sK6(X0,X1),X1)
& member(sK6(X0,X1),X0)
& ilf_type(sK6(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f103]) ).
fof(f105,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,[],[f65]) ).
fof(f110,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,[],[f71]) ).
fof(f111,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,[],[f110]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK11(X0,X1),X1)
& member(sK11(X0,X1),X0)
& ilf_type(sK11(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,[sK11]),skolemize(X2,sK11(X0,X1))],[f111]) ).
fof(f113,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,[],[f74]) ).
fof(f118,plain,
( ( sK15 != compose(sK15,identity_relation_of(sK14))
| sK15 != compose(identity_relation_of(sK14),sK15) )
& ilf_type(sK15,identity_relation_of_type(sK14))
& ilf_type(sK14,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X0,sK14),skolemize(X1,sK15)],[f86]) ).
fof(f119,plain,
! [X0,X1] :
( compose(identity_relation_of(X0),X1) = X1
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f42]) ).
fof(f120,plain,
! [X0,X1] :
( compose(X1,identity_relation_of(X0)) = X1
| ~ subset(range_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f44]) ).
fof(f130,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f92]) ).
fof(f144,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f99]) ).
fof(f146,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,[],[f56]) ).
fof(f153,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK6(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f104]) ).
fof(f154,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK6(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f104]) ).
fof(f157,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,[],[f105]) ).
fof(f166,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f69]) ).
fof(f167,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,[],[f112]) ).
fof(f172,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f173,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,[],[f113]) ).
fof(f180,plain,
! [X2,X0,X1] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f80]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f81]) ).
fof(f182,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f82]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f83]) ).
fof(f186,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f38]) ).
fof(f188,plain,
ilf_type(sK15,identity_relation_of_type(sK14)),
inference(cnf_transformation,[],[f118]) ).
fof(f189,plain,
( sK15 != compose(sK15,identity_relation_of(sK14))
| sK15 != compose(identity_relation_of(sK14),sK15) ),
inference(cnf_transformation,[],[f118]) ).
fof(f194,definition,
sF16 = identity_relation_of(sK14),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f195,plain,
identity_relation_of(sK14) = sF16,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF17 = compose(sK15,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f197,plain,
compose(sK15,sF16) = sF17,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF18 = compose(sF16,sK15),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f199,plain,
compose(sF16,sK15) = sF18,
inference(reorient_equations,[],[f198]) ).
fof(f200,plain,
( sK15 != sF17
| sK15 != sF18 ),
inference(definition_folding,[],[f189,f199,f195,f197,f195]) ).
fof(f201,definition,
sF19 = identity_relation_of_type(sK14),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f202,plain,
identity_relation_of_type(sK14) = sF19,
inference(reorient_equations,[],[f201]) ).
fof(f203,plain,
ilf_type(sK15,sF19),
inference(definition_folding,[],[f188,f202]) ).
fof(f205,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f210,definition,
( spl20_1
<=> sK15 = sF18 ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
fof(f212,plain,
( sK15 != sF18
| spl20_1 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f214,definition,
( spl20_2
<=> sK15 = sF17 ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
fof(f216,plain,
( sK15 != sF17
| spl20_2 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f217,plain,
( ~ spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f200,f214,f210]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f183,f186]) ).
fof(f221,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f182,f186]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f181,f186]) ).
fof(f223,plain,
! [X2,X0,X1] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f180,f186]) ).
fof(f228,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f173,f186]) ).
fof(f230,plain,
! [X0] : ~ empty(power_set(X0)),
inference(forward_subsumption_resolution,[],[f172,f186]) ).
fof(f231,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,[],[f167,f186]) ).
fof(f234,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,[],[f166,f186]) ).
fof(f239,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,[],[f157,f186]) ).
fof(f243,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK6(X0,X1),X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f153,f186]) ).
fof(f244,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK6(X0,X1),X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f154,f186]) ).
fof(f246,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,[],[f146,f186]) ).
fof(f249,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(forward_subsumption_resolution,[],[f205,f186]) ).
fof(f251,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f130,f186]) ).
fof(f260,plain,
! [X0,X1] :
( ~ subset(range_of(X1),X0)
| compose(X1,identity_relation_of(X0)) = X1
| ~ ilf_type(X1,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f120,f186]) ).
fof(f261,plain,
! [X0,X1] :
( ~ subset(domain_of(X1),X0)
| compose(identity_relation_of(X0),X1) = X1
| ~ ilf_type(X1,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f119,f186]) ).
fof(f264,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f220,f186]) ).
fof(f265,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ),
inference(forward_subsumption_resolution,[],[f221,f186]) ).
fof(f266,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f222,f186]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ),
inference(forward_subsumption_resolution,[],[f223,f186]) ).
fof(f269,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(forward_subsumption_resolution,[],[f228,f186]) ).
fof(f271,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f231,f186]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(forward_subsumption_resolution,[],[f234,f186]) ).
fof(f277,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f239,f186]) ).
fof(f280,plain,
! [X0,X1] :
( member(sK6(X0,X1),X0)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f243,f186]) ).
fof(f281,plain,
! [X0,X1] :
( ~ member(sK6(X0,X1),X1)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f244,f186]) ).
fof(f283,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f246,f186]) ).
fof(f285,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) ),
inference(forward_subsumption_resolution,[],[f251,f186]) ).
fof(f296,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| member(X3,X1) ),
inference(forward_subsumption_resolution,[],[f271,f186]) ).
fof(f308,plain,
! [X0,X1] :
( ~ ilf_type(X1,identity_relation_of_type(X0))
| domain_of(X1) = domain(X0,X0,X1) ),
inference(resolution,[],[f267,f285]) ).
fof(f309,plain,
! [X0] :
( ~ ilf_type(X0,sF19)
| domain_of(X0) = domain(sK14,sK14,X0) ),
inference(superposition,[],[f308,f202]) ).
fof(f332,plain,
! [X0,X1] :
( ~ ilf_type(X1,identity_relation_of_type(X0))
| range_of(X1) = range(X0,X0,X1) ),
inference(resolution,[],[f265,f285]) ).
fof(f333,plain,
! [X0] :
( ~ ilf_type(X0,sF19)
| range_of(X0) = range(sK14,sK14,X0) ),
inference(superposition,[],[f332,f202]) ).
fof(f346,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f274,f283]) ).
fof(f347,plain,
! [X0,X1] :
( ~ ilf_type(X0,identity_relation_of_type(X1))
| relation_like(X0) ),
inference(resolution,[],[f346,f285]) ).
fof(f348,plain,
! [X0] :
( ~ ilf_type(X0,sF19)
| relation_like(X0) ),
inference(superposition,[],[f347,f202]) ).
fof(f357,plain,
domain_of(sK15) = domain(sK14,sK14,sK15),
inference(resolution,[],[f309,f203]) ).
fof(f358,plain,
relation_like(sK15),
inference(resolution,[],[f348,f203]) ).
fof(f386,definition,
( spl20_6
<=> ilf_type(sK15,relation_type(sK14,sK14)) ),
introduced(definition,[new_symbols(definition,[spl20_6])],[avatar_definition]) ).
fof(f387,plain,
( ilf_type(sK15,relation_type(sK14,sK14))
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f388,plain,
( ~ ilf_type(sK15,relation_type(sK14,sK14))
| spl20_6 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f394,plain,
range_of(sK15) = range(sK14,sK14,sK15),
inference(resolution,[],[f333,f203]) ).
fof(f395,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1))
| empty(power_set(X1)) ),
inference(resolution,[],[f277,f269]) ).
fof(f396,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f395,f230]) ).
fof(f398,plain,
( ~ ilf_type(sK15,identity_relation_of_type(sK14))
| spl20_6 ),
inference(resolution,[],[f388,f285]) ).
fof(f399,plain,
( ~ ilf_type(sK15,sF19)
| spl20_6 ),
inference(forward_demodulation,[],[f398,f202]) ).
fof(f400,plain,
( $false
| spl20_6 ),
inference(forward_subsumption_resolution,[],[f399,f203]) ).
fof(f401,plain,
spl20_6,
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f444,plain,
( ilf_type(domain_of(sK15),subset_type(sK14))
| ~ ilf_type(sK15,relation_type(sK14,sK14)) ),
inference(superposition,[],[f266,f357]) ).
fof(f445,plain,
( ilf_type(domain_of(sK15),subset_type(sK14))
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f444,f387]) ).
fof(f446,plain,
( member(domain_of(sK15),power_set(sK14))
| ~ spl20_6 ),
inference(resolution,[],[f445,f396]) ).
fof(f448,plain,
( ! [X0] :
( ~ member(X0,domain_of(sK15))
| member(X0,sK14) )
| ~ spl20_6 ),
inference(resolution,[],[f446,f296]) ).
fof(f454,plain,
( ! [X0] :
( member(sK6(domain_of(sK15),X0),sK14)
| subset(domain_of(sK15),X0) )
| ~ spl20_6 ),
inference(resolution,[],[f448,f280]) ).
fof(f489,definition,
( spl20_13
<=> ilf_type(sK15,binary_relation_type) ),
introduced(definition,[new_symbols(definition,[spl20_13])],[avatar_definition]) ).
fof(f490,plain,
( ilf_type(sK15,binary_relation_type)
| ~ spl20_13 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f491,plain,
( ~ ilf_type(sK15,binary_relation_type)
| spl20_13 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f502,plain,
( ~ relation_like(sK15)
| spl20_13 ),
inference(resolution,[],[f491,f249]) ).
fof(f503,plain,
( $false
| spl20_13 ),
inference(forward_subsumption_resolution,[],[f502,f358]) ).
fof(f504,plain,
spl20_13,
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f530,plain,
( ilf_type(range_of(sK15),subset_type(sK14))
| ~ ilf_type(sK15,relation_type(sK14,sK14)) ),
inference(superposition,[],[f264,f394]) ).
fof(f531,plain,
( ilf_type(range_of(sK15),subset_type(sK14))
| ~ spl20_6 ),
inference(forward_subsumption_resolution,[],[f530,f387]) ).
fof(f532,plain,
( member(range_of(sK15),power_set(sK14))
| ~ spl20_6 ),
inference(resolution,[],[f531,f396]) ).
fof(f534,plain,
( ! [X0] :
( ~ member(X0,range_of(sK15))
| member(X0,sK14) )
| ~ spl20_6 ),
inference(resolution,[],[f532,f296]) ).
fof(f541,plain,
( ! [X0] :
( member(sK6(range_of(sK15),X0),sK14)
| subset(range_of(sK15),X0) )
| ~ spl20_6 ),
inference(resolution,[],[f534,f280]) ).
fof(f659,plain,
( subset(domain_of(sK15),sK14)
| subset(domain_of(sK15),sK14)
| ~ spl20_6 ),
inference(resolution,[],[f454,f281]) ).
fof(f662,plain,
( subset(domain_of(sK15),sK14)
| ~ spl20_6 ),
inference(duplicate_literal_removal,[],[f659]) ).
fof(f671,plain,
( sK15 = compose(identity_relation_of(sK14),sK15)
| ~ ilf_type(sK15,binary_relation_type)
| ~ spl20_6 ),
inference(resolution,[],[f662,f261]) ).
fof(f672,plain,
( sK15 = compose(identity_relation_of(sK14),sK15)
| ~ spl20_6
| ~ spl20_13 ),
inference(forward_subsumption_resolution,[],[f671,f490]) ).
fof(f673,plain,
( sK15 = compose(sF16,sK15)
| ~ spl20_6
| ~ spl20_13 ),
inference(forward_demodulation,[],[f672,f195]) ).
fof(f674,plain,
( sK15 = sF18
| ~ spl20_6
| ~ spl20_13 ),
inference(forward_demodulation,[],[f673,f199]) ).
fof(f675,plain,
( $false
| spl20_1
| ~ spl20_6
| ~ spl20_13 ),
inference(forward_subsumption_resolution,[],[f674,f212]) ).
fof(f676,plain,
( spl20_1
| ~ spl20_6
| ~ spl20_13 ),
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f691,plain,
( subset(range_of(sK15),sK14)
| subset(range_of(sK15),sK14)
| ~ spl20_6 ),
inference(resolution,[],[f541,f281]) ).
fof(f694,plain,
( subset(range_of(sK15),sK14)
| ~ spl20_6 ),
inference(duplicate_literal_removal,[],[f691]) ).
fof(f695,plain,
( sK15 = compose(sK15,identity_relation_of(sK14))
| ~ ilf_type(sK15,binary_relation_type)
| ~ spl20_6 ),
inference(resolution,[],[f694,f260]) ).
fof(f696,plain,
( sK15 = compose(sK15,identity_relation_of(sK14))
| ~ spl20_6
| ~ spl20_13 ),
inference(forward_subsumption_resolution,[],[f695,f490]) ).
fof(f697,plain,
( sK15 = compose(sK15,sF16)
| ~ spl20_6
| ~ spl20_13 ),
inference(forward_demodulation,[],[f696,f195]) ).
fof(f698,plain,
( sK15 = sF17
| ~ spl20_6
| ~ spl20_13 ),
inference(forward_demodulation,[],[f697,f197]) ).
fof(f699,plain,
( $false
| spl20_2
| ~ spl20_6
| ~ spl20_13 ),
inference(forward_subsumption_resolution,[],[f698,f216]) ).
fof(f700,plain,
( spl20_2
| ~ spl20_6
| ~ spl20_13 ),
inference(avatar_contradiction_clause,[],[f699]) ).
cnf(s1,plain,
( ~ spl20_1
| ~ spl20_2 ),
inference(sat_conversion,[],[f217]) ).
cnf(s5,plain,
spl20_6,
inference(sat_conversion,[],[f401]) ).
cnf(s13,plain,
spl20_13,
inference(sat_conversion,[],[f504]) ).
cnf(s20,plain,
( spl20_1
| ~ spl20_6
| ~ spl20_13 ),
inference(sat_conversion,[],[f676]) ).
cnf(s21,plain,
( spl20_2
| ~ spl20_6
| ~ spl20_13 ),
inference(sat_conversion,[],[f700]) ).
cnf(s26,plain,
spl20_2,
inference(rat,[],[s21,s13,s5]) ).
cnf(s27,plain,
spl20_1,
inference(rat,[],[s20,s13,s5]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s1,s26,s27]) ).
fof(f701,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET678+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n015.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 02:33:31 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 4.16/1.56 % (2209051)Detected formulas, will run a generic FOF schedule.
% 4.16/1.56 % (2209056)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=386609393:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.16/1.56 % (2209058)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=3436811149:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.16/1.56 % (2209062)dis-21_1_sil=8000:lcm=predicate:random_seed=1424971961: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)
% 4.16/1.56 % (2209059)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2605363653:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.16/1.56 % (2209061)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3040680658:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.16/1.56 % (2209060)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3985428257:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.16/1.56 % (2209057)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=1975809902:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.16/1.56 % (2209059)Refutation not found, incomplete strategy
% 4.16/1.56 % (2209059)------------------------------
% 4.16/1.56 % (2209059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.56 % (2209059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.56 % (2209059)CaDiCaL version: 2.1.3
% 4.16/1.56 % (2209059)Termination reason: Refutation not found, incomplete strategy
% 4.16/1.56 % (2209059)Time elapsed: 0.002 s
% 4.16/1.56 % (2209059)Peak memory usage: 88 MB
% 4.16/1.56 % (2209059)Instructions burned: 1 (million)
% 4.16/1.56 % (2209060)Instruction limit reached!
% 4.16/1.56 % (2209060)------------------------------
% 4.16/1.56 % (2209060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.56 % (2209060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.56 % (2209060)CaDiCaL version: 2.1.3
% 4.16/1.56 % (2209060)Termination reason: Instruction limit
% 4.16/1.56 % (2209060)Termination phase: Saturation
% 4.16/1.56 % (2209060)Time elapsed: 0.075 s
% 4.16/1.56 % (2209060)Peak memory usage: 88 MB
% 4.16/1.56 % (2209060)Instructions burned: 120 (million)
% 4.16/1.56 % (2209062)Instruction limit reached!
% 4.16/1.56 % (2209062)------------------------------
% 4.16/1.56 % (2209062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.56 % (2209062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.56 % (2209062)CaDiCaL version: 2.1.3
% 4.16/1.56 % (2209062)Termination reason: Instruction limit
% 4.16/1.56 % (2209062)Termination phase: Saturation
% 4.16/1.56 % (2209062)Time elapsed: 0.081 s
% 4.16/1.56 % (2209062)Peak memory usage: 90 MB
% 4.16/1.56 % (2209062)Instructions burned: 129 (million)
% 4.16/1.56 % (2209061)Instruction limit reached!
% 4.16/1.56 % (2209061)------------------------------
% 4.16/1.56 % (2209061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.56 % (2209061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.56 % (2209061)CaDiCaL version: 2.1.3
% 4.16/1.56 % (2209061)Termination reason: Instruction limit
% 4.16/1.56 % (2209061)Termination phase: Saturation
% 4.16/1.56 % (2209061)Time elapsed: 0.102 s
% 4.16/1.56 % (2209061)Peak memory usage: 89 MB
% 4.16/1.56 % (2209061)Instructions burned: 140 (million)
% 4.16/1.56 % (2209071)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3762675895:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.16/1.56 % (2209070)lrs+10_1_sil=8000:sp=occurrence:random_seed=1610972265:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.16/1.56 % (2209059)------------------------------
% 4.16/1.56 % (2209059)------------------------------
% 4.16/1.56 % (2209072)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2407340289:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.16/1.56 % (2209071)Instruction limit reached!
% 4.16/1.56 % (2209071)------------------------------
% 4.16/1.56 % (2209071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.56 % (2209071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.56 % (2209071)CaDiCaL version: 2.1.3
% 4.16/1.56 % (2209071)Termination reason: Instruction limit
% 4.16/1.56 % (2209071)Termination phase: Saturation
% 4.16/1.56 % (2209071)Time elapsed: 0.081 s
% 4.16/1.56 % (2209071)Peak memory usage: 89 MB
% 4.16/1.56 % (2209071)Instructions burned: 159 (million)
% 4.16/1.56 % (2209056)First to succeed.
% 4.16/1.56 % (2209056)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2209051"
% 4.16/1.56 % (2209070)Instruction limit reached!
% 4.16/1.56 % (2209070)------------------------------
% 4.16/1.56 % (2209070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.56 % (2209070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.56 % (2209070)CaDiCaL version: 2.1.3
% 4.16/1.56 % (2209070)Termination reason: Instruction limit
% 4.16/1.56 % (2209070)Termination phase: Saturation
% 4.16/1.56 % (2209070)Time elapsed: 0.174 s
% 4.16/1.56 % (2209070)Peak memory usage: 90 MB
% 4.16/1.56 % (2209070)Instructions burned: 286 (million)
% 4.16/1.56 % (2209076)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=2682224718:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.16/1.56 % (2209072)Instruction limit reached!
% 4.16/1.56 % (2209072)------------------------------
% 4.16/1.56 % (2209072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.56 % (2209072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.56 % (2209072)CaDiCaL version: 2.1.3
% 4.16/1.56 % (2209072)Termination reason: Instruction limit
% 4.16/1.56 % (2209072)Termination phase: Saturation
% 4.16/1.56 % (2209072)Time elapsed: 0.206 s
% 4.16/1.56 % (2209072)Peak memory usage: 91 MB
% 4.16/1.56 % (2209072)Instructions burned: 326 (million)
% 4.16/1.56 % (2209077)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3482795016:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.16/1.56 % (2209077)Refutation not found, incomplete strategy
% 4.16/1.56 % (2209077)------------------------------
% 4.16/1.56 % (2209077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.56 % (2209077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.56 % (2209077)CaDiCaL version: 2.1.3
% 4.16/1.56 % (2209077)Termination reason: Refutation not found, incomplete strategy
% 4.16/1.56 % (2209077)Time elapsed: 0.003 s
% 4.16/1.56 % (2209077)Peak memory usage: 88 MB
% 4.16/1.56 % (2209077)Instructions burned: 4 (million)
% 4.16/1.56 % (2209056)Refutation found. Thanks to Tanya!
% 4.16/1.56 % SZS status Theorem for theBenchmark
% 4.16/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 5.46/1.76 % (2209056)------------------------------
% 5.46/1.76 % (2209056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.76 % (2209056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.76 % (2209056)CaDiCaL version: 2.1.3
% 5.46/1.76 % (2209056)Termination reason: Refutation
% 5.46/1.76 % (2209056)Time elapsed: 0.398 s
% 5.46/1.76 % (2209056)Peak memory usage: 131 MB
% 5.46/1.76 % (2209056)Instructions burned: 1058 (million)
% 5.46/1.76 % (2209056)------------------------------
% 5.46/1.76 % (2209056)------------------------------
% 5.46/1.76 % (2209051)Success in time 0.686 s
% 5.46/1.76 % Vampire exiting
%------------------------------------------------------------------------------