%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET678+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 12:44:24 PM UTC 2026
% Result : Theorem 1.70s 0.74s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 24
% Syntax : Number of formulae : 163 ( 29 unt; 7 def)
% Number of atoms : 521 ( 54 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 610 ( 252 ~; 257 |; 38 &)
% ( 18 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-3 aty)
% Number of variables : 245 ( 0 sgn 239 !; 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',p35) ).
fof(f38,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/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/sandbox/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,identity_relation_of_type(X0))
| ilf_type(X1,relation_type(X0,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(f323,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1))
| empty(power_set(X1)) ),
inference(resolution,[],[f277,f269]) ).
fof(f324,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f323,f230]) ).
fof(f334,plain,
! [X0] :
( ~ ilf_type(X0,sF19)
| ilf_type(X0,relation_type(sK14,sK14)) ),
inference(superposition,[],[f285,f202]) ).
fof(f379,definition,
( spl20_5
<=> ilf_type(sK15,binary_relation_type) ),
introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).
fof(f380,plain,
( ilf_type(sK15,binary_relation_type)
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f381,plain,
( ~ ilf_type(sK15,binary_relation_type)
| spl20_5 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f392,plain,
( ~ relation_like(sK15)
| spl20_5 ),
inference(resolution,[],[f381,f249]) ).
fof(f393,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f283,f274]) ).
fof(f491,plain,
ilf_type(sK15,relation_type(sK14,sK14)),
inference(resolution,[],[f334,f203]) ).
fof(f494,plain,
domain(sK14,sK14,sK15) = domain_of(sK15),
inference(resolution,[],[f491,f267]) ).
fof(f495,plain,
range(sK14,sK14,sK15) = range_of(sK15),
inference(resolution,[],[f491,f265]) ).
fof(f496,plain,
relation_like(sK15),
inference(resolution,[],[f491,f393]) ).
fof(f497,plain,
( $false
| spl20_5 ),
inference(forward_subsumption_resolution,[],[f496,f392]) ).
fof(f498,plain,
spl20_5,
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f512,plain,
( ilf_type(domain_of(sK15),subset_type(sK14))
| ~ ilf_type(sK15,relation_type(sK14,sK14)) ),
inference(superposition,[],[f266,f494]) ).
fof(f513,plain,
ilf_type(domain_of(sK15),subset_type(sK14)),
inference(forward_subsumption_resolution,[],[f512,f491]) ).
fof(f516,plain,
member(domain_of(sK15),power_set(sK14)),
inference(resolution,[],[f513,f324]) ).
fof(f523,plain,
! [X0] :
( ~ member(X0,domain_of(sK15))
| member(X0,sK14) ),
inference(resolution,[],[f516,f296]) ).
fof(f528,plain,
( ilf_type(range_of(sK15),subset_type(sK14))
| ~ ilf_type(sK15,relation_type(sK14,sK14)) ),
inference(superposition,[],[f264,f495]) ).
fof(f529,plain,
ilf_type(range_of(sK15),subset_type(sK14)),
inference(forward_subsumption_resolution,[],[f528,f491]) ).
fof(f531,plain,
member(range_of(sK15),power_set(sK14)),
inference(resolution,[],[f529,f324]) ).
fof(f538,plain,
! [X0] :
( ~ member(X0,range_of(sK15))
| member(X0,sK14) ),
inference(resolution,[],[f531,f296]) ).
fof(f547,plain,
! [X0] :
( member(sK6(domain_of(sK15),X0),sK14)
| subset(domain_of(sK15),X0) ),
inference(resolution,[],[f523,f280]) ).
fof(f601,plain,
! [X0] :
( member(sK6(range_of(sK15),X0),sK14)
| subset(range_of(sK15),X0) ),
inference(resolution,[],[f538,f280]) ).
fof(f681,plain,
( subset(domain_of(sK15),sK14)
| subset(domain_of(sK15),sK14) ),
inference(resolution,[],[f547,f281]) ).
fof(f685,plain,
subset(domain_of(sK15),sK14),
inference(duplicate_literal_removal,[],[f681]) ).
fof(f735,plain,
( sK15 = compose(identity_relation_of(sK14),sK15)
| ~ ilf_type(sK15,binary_relation_type) ),
inference(resolution,[],[f685,f261]) ).
fof(f736,plain,
( sK15 = compose(identity_relation_of(sK14),sK15)
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f735,f380]) ).
fof(f737,plain,
( sK15 = compose(sF16,sK15)
| ~ spl20_5 ),
inference(forward_demodulation,[],[f736,f195]) ).
fof(f748,plain,
( sK15 = sF18
| ~ spl20_5 ),
inference(superposition,[],[f737,f199]) ).
fof(f757,plain,
( $false
| spl20_1
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f748,f212]) ).
fof(f758,plain,
( spl20_1
| ~ spl20_5 ),
inference(avatar_contradiction_clause,[],[f757]) ).
fof(f790,plain,
( subset(range_of(sK15),sK14)
| subset(range_of(sK15),sK14) ),
inference(resolution,[],[f601,f281]) ).
fof(f794,plain,
subset(range_of(sK15),sK14),
inference(duplicate_literal_removal,[],[f790]) ).
fof(f838,plain,
( sK15 = compose(sK15,identity_relation_of(sK14))
| ~ ilf_type(sK15,binary_relation_type) ),
inference(resolution,[],[f794,f260]) ).
fof(f839,plain,
( sK15 = compose(sK15,identity_relation_of(sK14))
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f838,f380]) ).
fof(f840,plain,
( sK15 = compose(sK15,sF16)
| ~ spl20_5 ),
inference(forward_demodulation,[],[f839,f195]) ).
fof(f865,plain,
( sK15 = sF17
| ~ spl20_5 ),
inference(superposition,[],[f840,f197]) ).
fof(f872,plain,
( $false
| spl20_2
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f865,f216]) ).
fof(f873,plain,
( spl20_2
| ~ spl20_5 ),
inference(avatar_contradiction_clause,[],[f872]) ).
cnf(s1,plain,
( ~ spl20_1
| ~ spl20_2 ),
inference(sat_conversion,[],[f217]) ).
cnf(s6,plain,
spl20_5,
inference(sat_conversion,[],[f498]) ).
cnf(s16,plain,
( spl20_1
| ~ spl20_5 ),
inference(sat_conversion,[],[f758]) ).
cnf(s20,plain,
( spl20_2
| ~ spl20_5 ),
inference(sat_conversion,[],[f873]) ).
cnf(s21,plain,
spl20_2,
inference(rat,[],[s20,s6]) ).
cnf(s22,plain,
spl20_1,
inference(rat,[],[s16,s6]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s1,s21,s22]) ).
fof(f874,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET678+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n026.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 02:32:57 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.70/0.74 % (3419005)Will run a generic schedule for satisfiability detection.
% 1.70/0.74 % (3419014)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2129335349:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.70/0.74 % (3419011)% WARNING: option uhcvi not known.
% 1.70/0.74 % (3419010)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2608288085_2999 on theBenchmark for (2999ds/0Mi)
% 1.70/0.74 % (3419011)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1572998556:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.70/0.74 % (3419012)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3288742638:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.70/0.74 % (3419013)dis+10_1_sil=32000:sp=arity:random_seed=1837249988:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.70/0.74 % (3419015)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3876363744:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.70/0.74 % (3419016)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=582647672:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.70/0.74 % TRYING [1]
% 1.70/0.74 % TRYING [2]
% 1.70/0.74 % TRYING [3]
% 1.70/0.74 % (3419014)Instruction limit reached!
% 1.70/0.74 % (3419014)------------------------------
% 1.70/0.74 % (3419014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.74 % (3419014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.74 % (3419014)CaDiCaL version: 2.1.3
% 1.70/0.74 % (3419014)Termination reason: Instruction limit
% 1.70/0.74 % (3419014)Termination phase: Saturation
% 1.70/0.74 % (3419014)Time elapsed: 0.039 s
% 1.70/0.74 % (3419014)Peak memory usage: 13 MB
% 1.70/0.74 % (3419014)Instructions burned: 118 (million)
% 1.70/0.74 % (3419024)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2093168394:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.70/0.74 % TRYING [1]
% 1.70/0.74 % TRYING [2]
% 1.70/0.74 % TRYING [3]
% 1.70/0.74 % TRYING [4]
% 1.70/0.74 % (3419013)Instruction limit reached!
% 1.70/0.74 % (3419013)------------------------------
% 1.70/0.74 % (3419013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.74 % (3419013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.74 % (3419013)CaDiCaL version: 2.1.3
% 1.70/0.74 % (3419013)Termination reason: Instruction limit
% 1.70/0.74 % (3419013)Termination phase: Saturation
% 1.70/0.74 % (3419013)Time elapsed: 0.063 s
% 1.70/0.74 % (3419013)Peak memory usage: 12 MB
% 1.70/0.74 % (3419013)Instructions burned: 103 (million)
% 1.70/0.74 % TRYING [4]
% 1.70/0.74 % (3419026)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1360411999:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.70/0.74 % (3419015)Instruction limit reached!
% 1.70/0.74 % (3419015)------------------------------
% 1.70/0.74 % (3419015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.74 % (3419015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.74 % (3419015)CaDiCaL version: 2.1.3
% 1.70/0.74 % (3419015)Termination reason: Instruction limit
% 1.70/0.74 % (3419015)Termination phase: Saturation
% 1.70/0.74 % (3419015)Time elapsed: 0.085 s
% 1.70/0.74 % (3419015)Peak memory usage: 13 MB
% 1.70/0.74 % (3419015)Instructions burned: 131 (million)
% 1.70/0.74 % (3419016)Instruction limit reached!
% 1.70/0.74 % (3419016)------------------------------
% 1.70/0.74 % (3419016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.74 % (3419016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.74 % (3419016)CaDiCaL version: 2.1.3
% 1.70/0.74 % (3419016)Termination reason: Instruction limit
% 1.70/0.74 % (3419016)Termination phase: Saturation
% 1.70/0.74 % (3419016)Time elapsed: 0.100 s
% 1.70/0.74 % (3419016)Peak memory usage: 15 MB
% 1.70/0.74 % (3419016)Instructions burned: 159 (million)
% 1.70/0.74 % (3419028)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2714349241:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.70/0.74 % (3419029)ott-21_1_sil=16000:fs=off:random_seed=1060259634:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.70/0.74 % (3419026)Instruction limit reached!
% 1.70/0.74 % (3419026)------------------------------
% 1.70/0.74 % (3419026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.74 % (3419026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.74 % (3419026)CaDiCaL version: 2.1.3
% 1.70/0.74 % (3419026)Termination reason: Instruction limit
% 1.70/0.74 % (3419026)Termination phase: Saturation
% 1.70/0.74 % (3419026)Time elapsed: 0.087 s
% 1.70/0.74 % (3419026)Peak memory usage: 13 MB
% 1.70/0.74 % (3419026)Instructions burned: 132 (million)
% 1.70/0.74 % (3419032)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=522782937:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.70/0.74 % (3419029)Instruction limit reached!
% 1.70/0.74 % (3419029)------------------------------
% 1.70/0.74 % (3419029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.74 % (3419029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.74 % (3419029)CaDiCaL version: 2.1.3
% 1.70/0.74 % (3419029)Termination reason: Instruction limit
% 1.70/0.74 % (3419029)Termination phase: Saturation
% 1.70/0.74 % (3419029)Time elapsed: 0.098 s
% 1.70/0.74 % (3419029)Peak memory usage: 13 MB
% 1.70/0.74 % (3419029)Instructions burned: 181 (million)
% 1.70/0.74 % (3419034)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=252723031:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.70/0.74 % (3419024)Instruction limit reached!
% 1.70/0.74 % (3419024)------------------------------
% 1.70/0.74 % (3419024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.74 % (3419024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.74 % (3419024)CaDiCaL version: 2.1.3
% 1.70/0.74 % (3419024)Termination reason: Instruction limit
% 1.70/0.74 % (3419024)Termination phase: Finite model building SAT solving
% 1.70/0.74 % (3419024)Time elapsed: 0.200 s
% 1.70/0.74 % (3419024)Peak memory usage: 26 MB
% 1.70/0.74 % (3419024)Instructions burned: 715 (million)
% 1.70/0.74 % TRYING [1]
% 1.70/0.74 % TRYING [2]
% 1.70/0.74 % (3419036)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1740193790:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.70/0.74 % TRYING [3]
% 1.70/0.74 % (3419036) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3419005-3419036"...
% 1.70/0.74 % (3419036)...printing done.
% 1.70/0.74 % (3419036)Refutation found. Thanks to Tanya!
% 1.70/0.74 % SZS status Theorem for theBenchmark
% 1.70/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.75 % (3419036)------------------------------
% 1.70/0.75 % (3419036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.75 % (3419036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.75 % (3419036)CaDiCaL version: 2.1.3
% 1.70/0.75 % (3419036)Termination reason: Refutation
% 1.70/0.75 % (3419036)Time elapsed: 0.011 s
% 1.70/0.75 % (3419036)Peak memory usage: 12 MB
% 1.70/0.75 % (3419036)Instructions burned: 30 (million)
% 1.70/0.75 % (3419005)Success in time 0.305 s
% 1.70/0.75 % Vampire exiting
%------------------------------------------------------------------------------