%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET660+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 12:44:21 PM UTC 2026
% Result : Theorem 0.31s 0.47s
% Output : Refutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of formulae : 159 ( 15 unt; 6 def)
% Number of atoms : 636 ( 36 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 800 ( 323 ~; 326 |; 83 &)
% ( 25 <=>; 41 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 271 ( 0 sgn 238 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,range_of(X0))
<=> ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X2,X1),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f7,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',p7) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
fof(f15,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',p15) ).
fof(f17,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',p17) ).
fof(f20,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',p20) ).
fof(f22,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',p22) ).
fof(f23,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',p23) ).
fof(f24,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',p24) ).
fof(f27,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',p27) ).
fof(f32,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',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(range(X0,X1,X2),subset_type(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33) ).
fof(f34,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34) ).
fof(f35,conjecture,
! [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)
=> ( member(X3,X1)
=> ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X4,X3),X2) ) ) )
<=> range(X0,X1,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_23) ).
fof(f36,negated_conjecture,
~ ! [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)
=> ( member(X3,X1)
=> ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X4,X3),X2) ) ) )
<=> range(X0,X1,X2) = X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ( member(X1,range_of(X0))
<=> ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X2,X1),X0) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f45,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,[],[f7]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f9]) ).
fof(f53,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
fof(f54,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,[],[f17]) ).
fof(f57,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,[],[f20]) ).
fof(f58,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,[],[f57]) ).
fof(f60,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,[],[f22]) ).
fof(f61,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,[],[f60]) ).
fof(f62,plain,
! [X0] :
( ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f23]) ).
fof(f63,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,[],[f24]) ).
fof(f64,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,[],[f63]) ).
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,[],[f27]) ).
fof(f75,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,[],[f32]) ).
fof(f76,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,[],[f33]) ).
fof(f77,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ! [X3] :
( ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X4,X3),X2) )
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) )
<~> range(X0,X1,X2) = X1 )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f36]) ).
fof(f78,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ! [X3] :
( ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X4,X3),X2) )
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) )
<~> range(X0,X1,X2) = X1 )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ( ( member(X1,range_of(X0))
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X2,X1),X0) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X2,X1),X0) )
| ~ member(X1,range_of(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(nnf_transformation,[],[f37]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ( ( member(X1,range_of(X0))
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X2,X1),X0) ) )
& ( ? [X3] :
( ilf_type(X3,set_type)
& member(ordered_pair(X3,X1),X0) )
| ~ member(X1,range_of(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( ( member(X1,range_of(X0))
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X2,X1),X0) ) )
& ( ( ilf_type(sK0(X0,X1),set_type)
& member(ordered_pair(sK0(X0,X1),X1),X0) )
| ~ member(X1,range_of(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f80]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f47]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f87]) ).
fof(f89,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,[],[f53]) ).
fof(f90,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,[],[f89]) ).
fof(f92,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,[],[f54]) ).
fof(f98,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,[],[f58]) ).
fof(f99,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,[],[f98]) ).
fof(f100,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))],[f99]) ).
fof(f101,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,[],[f61]) ).
fof(f102,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,[],[f101]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK7(X0,X1),X1)
& member(sK7(X0,X1),X0)
& ilf_type(sK7(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,[sK7]),skolemize(X2,sK7(X0,X1))],[f102]) ).
fof(f104,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,[],[f64]) ).
fof(f112,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( range(X0,X1,X2) != X1
| ? [X3] :
( ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X4,X3),X2) )
& member(X3,X1)
& ilf_type(X3,set_type) ) )
& ( range(X0,X1,X2) = X1
| ! [X3] :
( ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X4,X3),X2) )
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) ) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f78]) ).
fof(f113,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( range(X0,X1,X2) != X1
| ? [X3] :
( ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X4,X3),X2) )
& member(X3,X1)
& ilf_type(X3,set_type) ) )
& ( range(X0,X1,X2) = X1
| ! [X3] :
( ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X4,X3),X2) )
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) ) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( range(X0,X1,X2) != X1
| ? [X3] :
( ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X4,X3),X2) )
& member(X3,X1)
& ilf_type(X3,set_type) ) )
& ( range(X0,X1,X2) = X1
| ! [X5] :
( ? [X6] :
( ilf_type(X6,set_type)
& member(ordered_pair(X6,X5),X2) )
| ~ member(X5,X1)
| ~ ilf_type(X5,set_type) ) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(rectify,[],[f113]) ).
fof(f115,plain,
( ( sK14 != range(sK13,sK14,sK15)
| ( ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X4,sK16),sK15) )
& member(sK16,sK14)
& ilf_type(sK16,set_type) ) )
& ( sK14 = range(sK13,sK14,sK15)
| ! [X5] :
( ( ilf_type(sK17(X5),set_type)
& member(ordered_pair(sK17(X5),X5),sK15) )
| ~ member(X5,sK14)
| ~ ilf_type(X5,set_type) ) )
& ilf_type(sK15,relation_type(sK13,sK14))
& ilf_type(sK14,set_type)
& ilf_type(sK13,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15),skolemize(X3,sK16),skolemize(X6,sK17(X5))],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( member(ordered_pair(sK0(X0,X1),X1),X0)
| ~ member(X1,range_of(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f81]) ).
fof(f118,plain,
! [X2,X0,X1] :
( member(X1,range_of(X0))
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X2,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f81]) ).
fof(f128,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,[],[f45]) ).
fof(f133,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f88]) ).
fof(f141,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f90]) ).
fof(f143,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,[],[f92]) ).
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,[],[f100]) ).
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,[],[f100]) ).
fof(f156,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,[],[f103]) ).
fof(f161,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f62]) ).
fof(f162,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,[],[f104]) ).
fof(f171,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(f178,plain,
! [X2,X0,X1] :
( range_of(X2) = range(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f75]) ).
fof(f179,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,[],[f76]) ).
fof(f180,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f34]) ).
fof(f183,plain,
ilf_type(sK15,relation_type(sK13,sK14)),
inference(cnf_transformation,[],[f115]) ).
fof(f184,plain,
! [X5] :
( sK14 = range(sK13,sK14,sK15)
| member(ordered_pair(sK17(X5),X5),sK15)
| ~ member(X5,sK14)
| ~ ilf_type(X5,set_type) ),
inference(cnf_transformation,[],[f115]) ).
fof(f187,plain,
( sK14 != range(sK13,sK14,sK15)
| member(sK16,sK14) ),
inference(cnf_transformation,[],[f115]) ).
fof(f188,plain,
! [X4] :
( sK14 != range(sK13,sK14,sK15)
| ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X4,sK16),sK15) ),
inference(cnf_transformation,[],[f115]) ).
fof(f197,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(duplicate_literal_removal,[],[f141]) ).
fof(f201,definition,
( spl18_1
<=> ! [X5] :
( member(ordered_pair(sK17(X5),X5),sK15)
| ~ ilf_type(X5,set_type)
| ~ member(X5,sK14) ) ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f202,plain,
( ! [X5] :
( member(ordered_pair(sK17(X5),X5),sK15)
| ~ ilf_type(X5,set_type)
| ~ member(X5,sK14) )
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f204,definition,
( spl18_2
<=> sK14 = range(sK13,sK14,sK15) ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f205,plain,
( sK14 != range(sK13,sK14,sK15)
| spl18_2 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f206,plain,
( sK14 = range(sK13,sK14,sK15)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f207,plain,
( spl18_1
| spl18_2 ),
inference(avatar_split_clause,[],[f184,f204,f201]) ).
fof(f218,definition,
( spl18_5
<=> member(sK16,sK14) ),
introduced(definition,[new_symbols(definition,[spl18_5])],[avatar_definition]) ).
fof(f220,plain,
( member(sK16,sK14)
| ~ spl18_5 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f221,plain,
( spl18_5
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f187,f204,f218]) ).
fof(f223,definition,
( spl18_6
<=> ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(ordered_pair(X4,sK16),sK15) ) ),
introduced(definition,[new_symbols(definition,[spl18_6])],[avatar_definition]) ).
fof(f224,plain,
( ! [X4] :
( ~ member(ordered_pair(X4,sK16),sK15)
| ~ ilf_type(X4,set_type) )
| ~ spl18_6 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f225,plain,
( spl18_6
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f188,f204,f223]) ).
fof(f246,plain,
! [X0] : ~ empty(power_set(X0)),
inference(forward_subsumption_resolution,[],[f161,f180]) ).
fof(f251,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(forward_subsumption_resolution,[],[f197,f180]) ).
fof(f281,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK6(X0,X1),X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f153,f180]) ).
fof(f282,plain,
! [X0,X1] :
( member(sK6(X0,X1),X0)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f281,f180]) ).
fof(f284,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK6(X0,X1),X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f154,f180]) ).
fof(f285,plain,
! [X0,X1] :
( ~ member(sK6(X0,X1),X1)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f284,f180]) ).
fof(f288,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,[],[f171,f180]) ).
fof(f289,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(forward_subsumption_resolution,[],[f288,f180]) ).
fof(f291,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f133,f180]) ).
fof(f292,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f291,f180]) ).
fof(f295,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,[],[f143,f180]) ).
fof(f296,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f295,f180]) ).
fof(f315,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f162,f180]) ).
fof(f316,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(forward_subsumption_resolution,[],[f315,f180]) ).
fof(f319,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| empty(power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f316,f296]) ).
fof(f321,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f319,f246]) ).
fof(f331,plain,
! [X0,X1] :
( member(ordered_pair(sK0(X0,X1),X1),X0)
| ~ member(X1,range_of(X0))
| ~ ilf_type(X0,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f116,f180]) ).
fof(f333,plain,
( ~ member(sK16,range_of(sK15))
| ~ ilf_type(sK15,binary_relation_type)
| ~ ilf_type(sK0(sK15,sK16),set_type)
| ~ spl18_6 ),
inference(resolution,[],[f331,f224]) ).
fof(f335,plain,
( ~ member(sK16,range_of(sK15))
| ~ ilf_type(sK15,binary_relation_type)
| ~ spl18_6 ),
inference(forward_subsumption_resolution,[],[f333,f180]) ).
fof(f337,definition,
( spl18_10
<=> ilf_type(sK15,binary_relation_type) ),
introduced(definition,[new_symbols(definition,[spl18_10])],[avatar_definition]) ).
fof(f338,plain,
( ilf_type(sK15,binary_relation_type)
| ~ spl18_10 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f339,plain,
( ~ ilf_type(sK15,binary_relation_type)
| spl18_10 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f341,definition,
( spl18_11
<=> member(sK16,range_of(sK15)) ),
introduced(definition,[new_symbols(definition,[spl18_11])],[avatar_definition]) ).
fof(f343,plain,
( ~ member(sK16,range_of(sK15))
| spl18_11 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f344,plain,
( ~ spl18_10
| ~ spl18_11
| ~ spl18_6 ),
inference(avatar_split_clause,[],[f335,f223,f341,f337]) ).
fof(f345,plain,
( ~ relation_like(sK15)
| spl18_10 ),
inference(resolution,[],[f339,f251]) ).
fof(f346,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,[],[f128,f180]) ).
fof(f347,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f346,f180]) ).
fof(f348,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f347,f289]) ).
fof(f350,plain,
relation_like(sK15),
inference(resolution,[],[f348,f183]) ).
fof(f352,plain,
( $false
| spl18_10 ),
inference(forward_subsumption_resolution,[],[f350,f345]) ).
fof(f353,plain,
spl18_10,
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f363,plain,
! [X2,X0,X1] :
( member(X1,range_of(X0))
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X2,X1),X0)
| ~ ilf_type(X0,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f118,f180]) ).
fof(f364,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X2,X1),X0)
| member(X1,range_of(X0))
| ~ ilf_type(X0,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f363,f180]) ).
fof(f449,plain,
! [X2,X0,X1] :
( range_of(X2) = range(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f178,f180]) ).
fof(f450,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range_of(X2) = range(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f449,f180]) ).
fof(f457,plain,
range(sK13,sK14,sK15) = range_of(sK15),
inference(resolution,[],[f450,f183]) ).
fof(f458,plain,
( sK14 = range_of(sK15)
| ~ spl18_2 ),
inference(forward_demodulation,[],[f457,f206]) ).
fof(f459,plain,
( ~ member(sK16,sK14)
| ~ spl18_2
| spl18_11 ),
inference(superposition,[],[f343,f458]) ).
fof(f460,plain,
( $false
| ~ spl18_2
| ~ spl18_5
| spl18_11 ),
inference(forward_subsumption_resolution,[],[f459,f220]) ).
fof(f461,plain,
( ~ spl18_2
| ~ spl18_5
| spl18_11 ),
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f462,plain,
( ! [X5] :
( member(ordered_pair(sK17(X5),X5),sK15)
| ~ member(X5,sK14) )
| ~ spl18_1 ),
inference(forward_subsumption_resolution,[],[f202,f180]) ).
fof(f463,plain,
( sK14 != range_of(sK15)
| spl18_2 ),
inference(superposition,[],[f205,f457]) ).
fof(f465,plain,
( ! [X0] :
( ~ member(X0,sK14)
| member(X0,range_of(sK15))
| ~ ilf_type(sK15,binary_relation_type) )
| ~ spl18_1 ),
inference(resolution,[],[f462,f364]) ).
fof(f477,plain,
( ! [X0] :
( member(X0,range_of(sK15))
| ~ member(X0,sK14) )
| ~ spl18_1
| ~ spl18_10 ),
inference(forward_subsumption_resolution,[],[f465,f338]) ).
fof(f479,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,[],[f179,f180]) ).
fof(f480,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f479,f180]) ).
fof(f484,plain,
( ilf_type(range_of(sK15),subset_type(sK14))
| ~ ilf_type(sK15,relation_type(sK13,sK14)) ),
inference(superposition,[],[f480,f457]) ).
fof(f485,plain,
ilf_type(range_of(sK15),subset_type(sK14)),
inference(forward_subsumption_resolution,[],[f484,f183]) ).
fof(f486,plain,
member(range_of(sK15),power_set(sK14)),
inference(resolution,[],[f485,f321]) ).
fof(f503,plain,
( ! [X0] :
( ~ member(sK6(X0,range_of(sK15)),sK14)
| subset(X0,range_of(sK15)) )
| ~ spl18_1
| ~ spl18_10 ),
inference(resolution,[],[f477,f285]) ).
fof(f567,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,[],[f156,f180]) ).
fof(f568,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f567,f180]) ).
fof(f569,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| member(X3,X1) ),
inference(forward_subsumption_resolution,[],[f568,f180]) ).
fof(f570,plain,
( subset(sK14,range_of(sK15))
| subset(sK14,range_of(sK15))
| ~ spl18_1
| ~ spl18_10 ),
inference(resolution,[],[f503,f282]) ).
fof(f571,plain,
( subset(sK14,range_of(sK15))
| ~ spl18_1
| ~ spl18_10 ),
inference(duplicate_literal_removal,[],[f570]) ).
fof(f574,plain,
! [X0] :
( ~ member(X0,range_of(sK15))
| member(X0,sK14) ),
inference(resolution,[],[f569,f486]) ).
fof(f594,plain,
( ~ subset(range_of(sK15),sK14)
| sK14 = range_of(sK15)
| ~ spl18_1
| ~ spl18_10 ),
inference(resolution,[],[f571,f292]) ).
fof(f595,plain,
( ~ subset(range_of(sK15),sK14)
| ~ spl18_1
| spl18_2
| ~ spl18_10 ),
inference(forward_subsumption_resolution,[],[f594,f463]) ).
fof(f639,plain,
! [X0] :
( member(sK6(range_of(sK15),X0),sK14)
| subset(range_of(sK15),X0) ),
inference(resolution,[],[f574,f282]) ).
fof(f830,plain,
( subset(range_of(sK15),sK14)
| subset(range_of(sK15),sK14) ),
inference(resolution,[],[f639,f285]) ).
fof(f834,plain,
subset(range_of(sK15),sK14),
inference(duplicate_literal_removal,[],[f830]) ).
fof(f836,plain,
( $false
| ~ spl18_1
| spl18_2
| ~ spl18_10 ),
inference(forward_subsumption_resolution,[],[f834,f595]) ).
fof(f837,plain,
( ~ spl18_1
| spl18_2
| ~ spl18_10 ),
inference(avatar_contradiction_clause,[],[f836]) ).
cnf(s1,plain,
( spl18_1
| spl18_2 ),
inference(sat_conversion,[],[f207]) ).
cnf(s4,plain,
( ~ spl18_2
| spl18_5 ),
inference(sat_conversion,[],[f221]) ).
cnf(s5,plain,
( ~ spl18_2
| spl18_6 ),
inference(sat_conversion,[],[f225]) ).
cnf(s11,plain,
( ~ spl18_6
| ~ spl18_10
| ~ spl18_11 ),
inference(sat_conversion,[],[f344]) ).
cnf(s12,plain,
spl18_10,
inference(sat_conversion,[],[f353]) ).
cnf(s15,plain,
( ~ spl18_2
| ~ spl18_5
| spl18_11 ),
inference(sat_conversion,[],[f461]) ).
cnf(s27,plain,
( ~ spl18_1
| spl18_2
| ~ spl18_10 ),
inference(sat_conversion,[],[f837]) ).
cnf(s28,plain,
( ~ spl18_6
| ~ spl18_11 ),
inference(rat,[],[s11,s12]) ).
cnf(s31,plain,
~ spl18_2,
inference(rat,[],[s15,s28,s4,s5]) ).
cnf(s32,plain,
~ spl18_1,
inference(rat,[],[s27,s12,s31]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s1,s31,s32]) ).
fof(f838,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET660+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n004.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 02:28:37 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/0.47 % (4093595)Will run a generic schedule for satisfiability detection.
% 0.31/0.47 % (4093600)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1085745037_2999 on theBenchmark for (2999ds/0Mi)
% 0.31/0.47 % (4093601)% WARNING: option uhcvi not known.
% 0.31/0.47 % TRYING [1]
% 0.31/0.47 % TRYING [2]
% 0.31/0.47 % (4093601)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3135141858:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.31/0.47 % (4093602)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1970762901:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.31/0.47 % (4093603)dis+10_1_sil=32000:sp=arity:random_seed=2119356190:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.31/0.47 % (4093605)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2787430447:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.31/0.47 % (4093604)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1979344664:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.31/0.47 % (4093606)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1499882795:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.31/0.47 % TRYING [3]
% 0.31/0.47 % (4093603) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4093595-4093603"...
% 0.31/0.47 % (4093603)...printing done.
% 0.31/0.47 % (4093603)Refutation found. Thanks to Tanya!
% 0.31/0.47 % SZS status Theorem for theBenchmark
% 0.31/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.31/0.47 % (4093603)------------------------------
% 0.31/0.47 % (4093603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.47 % (4093603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.47 % (4093603)CaDiCaL version: 2.1.3
% 0.31/0.47 % (4093603)Termination reason: Refutation
% 0.31/0.47 % (4093603)Time elapsed: 0.021 s
% 0.31/0.47 % (4093603)Peak memory usage: 13 MB
% 0.31/0.47 % (4093603)Instructions burned: 29 (million)
% 0.31/0.47 % (4093595)Success in time 0.055 s
% 0.31/0.47 % Vampire exiting
%------------------------------------------------------------------------------