%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET685+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:41:39 PM UTC 2026
% Result : Theorem 3.03s 1.34s
% Output : Refutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of formulae : 146 ( 13 unt; 9 def)
% Number of atoms : 606 ( 7 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 788 ( 328 ~; 297 |; 106 &)
% ( 20 <=>; 35 =>; 0 <=; 2 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-4 aty)
% Number of variables : 262 ( 0 sgn 224 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(X1,image(X2,X0))
<=> ? [X3] :
( ilf_type(X3,set_type)
& member(ordered_pair(X3,X1),X2)
& member(X3,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X1))
=> ( member(ordered_pair(X2,X3),X4)
=> ( member(X2,X0)
& member(X3,X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5) ).
fof(f7,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',p7) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',p15) ).
fof(f24,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',p24) ).
fof(f25,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ! [X3] :
( ilf_type(X3,set_type)
=> image4(X0,X1,X2,X3) = image(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25) ).
fof(f27,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27) ).
fof(f28,conjecture,
! [X0] :
( ( ~ empty(X0)
& ilf_type(X0,set_type) )
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ! [X4] :
( ilf_type(X4,member_type(X0))
=> ( member(X4,image4(X2,X0,X3,X1))
<=> ? [X5] :
( ilf_type(X5,member_type(X2))
& member(ordered_pair(X5,X4),X3)
& member(X5,X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_52) ).
fof(f29,negated_conjecture,
~ ! [X0] :
( ( ~ empty(X0)
& ilf_type(X0,set_type) )
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ! [X4] :
( ilf_type(X4,member_type(X0))
=> ( member(X4,image4(X2,X0,X3,X1))
<=> ? [X5] :
( ilf_type(X5,member_type(X2))
& member(ordered_pair(X5,X4),X3)
& member(X5,X1) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X1,image(X2,X0))
<=> ? [X3] :
( ilf_type(X3,set_type)
& member(ordered_pair(X3,X1),X2)
& member(X3,X0) ) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( member(X2,X0)
& member(X3,X1) )
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1)) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( member(X2,X0)
& member(X3,X1) )
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1)) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f31]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f5]) ).
fof(f37,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,[],[f7]) ).
fof(f38,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,[],[f37]) ).
fof(f41,plain,
! [X0] :
( ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f9]) ).
fof(f47,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(f58,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,[],[f24]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( image4(X0,X1,X2,X3) = image(X2,X3)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f25]) ).
fof(f61,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( member(X4,image4(X2,X0,X3,X1))
<~> ? [X5] :
( ilf_type(X5,member_type(X2))
& member(ordered_pair(X5,X4),X3)
& member(X5,X1) ) )
& ilf_type(X4,member_type(X0)) )
& ilf_type(X3,relation_type(X2,X0)) )
& ~ empty(X2)
& ilf_type(X2,set_type) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
& ~ empty(X0)
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f29]) ).
fof(f62,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( member(X4,image4(X2,X0,X3,X1))
<~> ? [X5] :
( ilf_type(X5,member_type(X2))
& member(ordered_pair(X5,X4),X3)
& member(X5,X1) ) )
& ilf_type(X4,member_type(X0)) )
& ilf_type(X3,relation_type(X2,X0)) )
& ~ empty(X2)
& ilf_type(X2,set_type) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
& ~ empty(X0)
& ilf_type(X0,set_type) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( member(X1,image(X2,X0))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X3,X1),X2)
| ~ member(X3,X0) ) )
& ( ? [X3] :
( ilf_type(X3,set_type)
& member(ordered_pair(X3,X1),X2)
& member(X3,X0) )
| ~ member(X1,image(X2,X0)) ) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f30]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( member(X1,image(X2,X0))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X3,X1),X2)
| ~ member(X3,X0) ) )
& ( ? [X4] :
( ilf_type(X4,set_type)
& member(ordered_pair(X4,X1),X2)
& member(X4,X0) )
| ~ member(X1,image(X2,X0)) ) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f63]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( member(X1,image(X2,X0))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X3,X1),X2)
| ~ member(X3,X0) ) )
& ( ( ilf_type(sK0(X0,X1,X2),set_type)
& member(ordered_pair(sK0(X0,X1,X2),X1),X2)
& member(sK0(X0,X1,X2),X0) )
| ~ member(X1,image(X2,X0)) ) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X4,sK0(X0,X1,X2))],[f64]) ).
fof(f68,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,[],[f38]) ).
fof(f70,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f41]) ).
fof(f71,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f70]) ).
fof(f72,plain,
! [X0] :
( ( ( empty(X0)
| ( member(sK3(X0),X0)
& ilf_type(sK3(X0),set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f71]) ).
fof(f73,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,[],[f47]) ).
fof(f74,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f73]) ).
fof(f88,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ! [X5] :
( ~ ilf_type(X5,member_type(X2))
| ~ member(ordered_pair(X5,X4),X3)
| ~ member(X5,X1) )
| ~ member(X4,image4(X2,X0,X3,X1)) )
& ( ? [X5] :
( ilf_type(X5,member_type(X2))
& member(ordered_pair(X5,X4),X3)
& member(X5,X1) )
| member(X4,image4(X2,X0,X3,X1)) )
& ilf_type(X4,member_type(X0)) )
& ilf_type(X3,relation_type(X2,X0)) )
& ~ empty(X2)
& ilf_type(X2,set_type) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
& ~ empty(X0)
& ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f62]) ).
fof(f89,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ! [X5] :
( ~ ilf_type(X5,member_type(X2))
| ~ member(ordered_pair(X5,X4),X3)
| ~ member(X5,X1) )
| ~ member(X4,image4(X2,X0,X3,X1)) )
& ( ? [X5] :
( ilf_type(X5,member_type(X2))
& member(ordered_pair(X5,X4),X3)
& member(X5,X1) )
| member(X4,image4(X2,X0,X3,X1)) )
& ilf_type(X4,member_type(X0)) )
& ilf_type(X3,relation_type(X2,X0)) )
& ~ empty(X2)
& ilf_type(X2,set_type) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
& ~ empty(X0)
& ilf_type(X0,set_type) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ! [X5] :
( ~ ilf_type(X5,member_type(X2))
| ~ member(ordered_pair(X5,X4),X3)
| ~ member(X5,X1) )
| ~ member(X4,image4(X2,X0,X3,X1)) )
& ( ? [X6] :
( ilf_type(X6,member_type(X2))
& member(ordered_pair(X6,X4),X3)
& member(X6,X1) )
| member(X4,image4(X2,X0,X3,X1)) )
& ilf_type(X4,member_type(X0)) )
& ilf_type(X3,relation_type(X2,X0)) )
& ~ empty(X2)
& ilf_type(X2,set_type) )
& ~ empty(X1)
& ilf_type(X1,set_type) )
& ~ empty(X0)
& ilf_type(X0,set_type) ),
inference(rectify,[],[f89]) ).
fof(f91,plain,
( ( ! [X5] :
( ~ ilf_type(X5,member_type(sK13))
| ~ member(ordered_pair(X5,sK15),sK14)
| ~ member(X5,sK12) )
| ~ member(sK15,image4(sK13,sK11,sK14,sK12)) )
& ( ( ilf_type(sK16,member_type(sK13))
& member(ordered_pair(sK16,sK15),sK14)
& member(sK16,sK12) )
| member(sK15,image4(sK13,sK11,sK14,sK12)) )
& ilf_type(sK15,member_type(sK11))
& ilf_type(sK14,relation_type(sK13,sK11))
& ~ empty(sK13)
& ilf_type(sK13,set_type)
& ~ empty(sK12)
& ilf_type(sK12,set_type)
& ~ empty(sK11)
& ilf_type(sK11,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13),skolemize(X3,sK14),skolemize(X4,sK15),skolemize(X6,sK16)],[f90]) ).
fof(f92,plain,
! [X2,X0,X1] :
( member(sK0(X0,X1,X2),X0)
| ~ member(X1,image(X2,X0))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f65]) ).
fof(f93,plain,
! [X2,X0,X1] :
( member(ordered_pair(sK0(X0,X1,X2),X1),X2)
| ~ member(X1,image(X2,X0))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f65]) ).
fof(f95,plain,
! [X2,X3,X0,X1] :
( member(X1,image(X2,X0))
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X3,X1),X2)
| ~ member(X3,X0)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f65]) ).
fof(f97,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f32]) ).
fof(f101,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,[],[f35]) ).
fof(f105,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f68]) ).
fof(f107,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f117,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f74]) ).
fof(f140,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,[],[f58]) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( image4(X0,X1,X2,X3) = image(X2,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f59]) ).
fof(f143,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f27]) ).
fof(f150,plain,
ilf_type(sK14,relation_type(sK13,sK11)),
inference(cnf_transformation,[],[f91]) ).
fof(f152,plain,
( member(sK16,sK12)
| member(sK15,image4(sK13,sK11,sK14,sK12)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f153,plain,
( member(ordered_pair(sK16,sK15),sK14)
| member(sK15,image4(sK13,sK11,sK14,sK12)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f155,plain,
! [X5] :
( ~ ilf_type(X5,member_type(sK13))
| ~ member(ordered_pair(X5,sK15),sK14)
| ~ member(X5,sK12)
| ~ member(sK15,image4(sK13,sK11,sK14,sK12)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f162,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(duplicate_literal_removal,[],[f117]) ).
fof(f164,definition,
( spl17_1
<=> member(sK15,image4(sK13,sK11,sK14,sK12)) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f165,plain,
( ~ member(sK15,image4(sK13,sK11,sK14,sK12))
| spl17_1 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f166,plain,
( member(sK15,image4(sK13,sK11,sK14,sK12))
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f168,definition,
( spl17_2
<=> member(sK16,sK12) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f171,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f152,f168,f164]) ).
fof(f173,definition,
( spl17_3
<=> member(ordered_pair(sK16,sK15),sK14) ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
fof(f175,plain,
( member(ordered_pair(sK16,sK15),sK14)
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f176,plain,
( spl17_1
| spl17_3 ),
inference(avatar_split_clause,[],[f153,f173,f164]) ).
fof(f183,definition,
( spl17_5
<=> ! [X5] :
( ~ ilf_type(X5,member_type(sK13))
| ~ member(X5,sK12)
| ~ member(ordered_pair(X5,sK15),sK14) ) ),
introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition]) ).
fof(f184,plain,
( ! [X5] :
( ~ member(ordered_pair(X5,sK15),sK14)
| ~ member(X5,sK12)
| ~ ilf_type(X5,member_type(sK13)) )
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f185,plain,
( ~ spl17_1
| spl17_5 ),
inference(avatar_split_clause,[],[f155,f183,f164]) ).
fof(f209,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(forward_subsumption_resolution,[],[f162,f143]) ).
fof(f214,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f107,f143]) ).
fof(f215,plain,
! [X2,X0] :
( ~ empty(X0)
| ~ member(X2,X0) ),
inference(forward_subsumption_resolution,[],[f214,f143]) ).
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,[],[f140,f143]) ).
fof(f235,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f234,f143]) ).
fof(f248,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f105,f215]) ).
fof(f249,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f248,f143]) ).
fof(f250,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(forward_subsumption_resolution,[],[f249,f143]) ).
fof(f269,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,[],[f101,f143]) ).
fof(f270,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f269,f143]) ).
fof(f315,plain,
! [X2,X0,X1] :
( member(sK0(X0,X1,X2),X0)
| ~ member(X1,image(X2,X0))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f92,f143]) ).
fof(f316,plain,
! [X2,X0,X1] :
( member(sK0(X0,X1,X2),X0)
| ~ member(X1,image(X2,X0))
| ~ ilf_type(X2,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f315,f143]) ).
fof(f329,plain,
! [X2,X0,X1] :
( member(ordered_pair(sK0(X0,X1,X2),X1),X2)
| ~ member(X1,image(X2,X0))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type) ),
inference(forward_subsumption_resolution,[],[f93,f143]) ).
fof(f330,plain,
! [X2,X0,X1] :
( member(ordered_pair(sK0(X0,X1,X2),X1),X2)
| ~ member(X1,image(X2,X0))
| ~ ilf_type(X2,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f329,f143]) ).
fof(f342,plain,
! [X2,X3,X0,X1] :
( image4(X0,X1,X2,X3) = image(X2,X3)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f141,f143]) ).
fof(f343,plain,
! [X2,X3,X0,X1] :
( image4(X0,X1,X2,X3) = image(X2,X3)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f342,f143]) ).
fof(f344,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| image4(X0,X1,X2,X3) = image(X2,X3) ),
inference(forward_subsumption_resolution,[],[f343,f143]) ).
fof(f352,plain,
! [X0] : image4(sK13,sK11,sK14,X0) = image(sK14,X0),
inference(resolution,[],[f344,f150]) ).
fof(f360,plain,
( ~ member(sK15,image(sK14,sK12))
| spl17_1 ),
inference(superposition,[],[f165,f352]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( member(X1,image(X2,X0))
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X3,X1),X2)
| ~ member(X3,X0)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type) ),
inference(forward_subsumption_resolution,[],[f95,f143]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( member(X1,image(X2,X0))
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X3,X1),X2)
| ~ member(X3,X0)
| ~ ilf_type(X2,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f363,f143]) ).
fof(f365,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X3,X1),X2)
| ~ member(X3,X0)
| member(X1,image(X2,X0)) ),
inference(forward_subsumption_resolution,[],[f364,f143]) ).
fof(f378,plain,
! [X2,X3,X0,X1] :
( member(X1,image(X2,X3))
| ~ member(X0,X3)
| ~ member(ordered_pair(X0,X1),X2)
| ~ relation_like(X2) ),
inference(resolution,[],[f365,f209]) ).
fof(f388,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(forward_subsumption_resolution,[],[f97,f143]) ).
fof(f389,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(forward_subsumption_resolution,[],[f388,f143]) ).
fof(f390,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type) ),
inference(forward_subsumption_resolution,[],[f389,f143]) ).
fof(f391,plain,
! [X2,X3,X0,X1,X4] :
( ~ ilf_type(X4,relation_type(X0,X1))
| ~ member(ordered_pair(X2,X3),X4)
| member(X2,X0) ),
inference(forward_subsumption_resolution,[],[f390,f143]) ).
fof(f396,plain,
! [X0,X1] :
( member(X0,sK13)
| ~ member(ordered_pair(X0,X1),sK14) ),
inference(resolution,[],[f391,f150]) ).
fof(f500,plain,
( ! [X0] :
( ~ member(X0,sK12)
| ~ member(ordered_pair(X0,sK15),sK14)
| ~ relation_like(sK14) )
| spl17_1 ),
inference(resolution,[],[f378,f360]) ).
fof(f504,definition,
( spl17_20
<=> relation_like(sK14) ),
introduced(definition,[new_symbols(definition,[spl17_20])],[avatar_definition]) ).
fof(f505,plain,
( relation_like(sK14)
| ~ spl17_20 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f506,plain,
( ~ relation_like(sK14)
| spl17_20 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f508,definition,
( spl17_21
<=> ! [X0] :
( ~ member(X0,sK12)
| ~ member(ordered_pair(X0,sK15),sK14) ) ),
introduced(definition,[new_symbols(definition,[spl17_21])],[avatar_definition]) ).
fof(f509,plain,
( ! [X0] :
( ~ member(ordered_pair(X0,sK15),sK14)
| ~ member(X0,sK12) )
| ~ spl17_21 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f510,plain,
( ~ spl17_20
| spl17_21
| spl17_1 ),
inference(avatar_split_clause,[],[f500,f164,f508,f504]) ).
fof(f513,plain,
( ! [X0,X1] : ~ ilf_type(sK14,subset_type(cross_product(X0,X1)))
| spl17_20 ),
inference(resolution,[],[f506,f235]) ).
fof(f540,plain,
( ! [X0,X1] : ~ ilf_type(sK14,relation_type(X0,X1))
| spl17_20 ),
inference(resolution,[],[f513,f270]) ).
fof(f546,plain,
( $false
| spl17_20 ),
inference(resolution,[],[f540,f150]) ).
fof(f548,plain,
spl17_20,
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f596,definition,
( spl17_30
<=> ilf_type(sK14,binary_relation_type) ),
introduced(definition,[new_symbols(definition,[spl17_30])],[avatar_definition]) ).
fof(f597,plain,
( ilf_type(sK14,binary_relation_type)
| ~ spl17_30 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f598,plain,
( ~ ilf_type(sK14,binary_relation_type)
| spl17_30 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f606,plain,
( ~ relation_like(sK14)
| spl17_30 ),
inference(resolution,[],[f598,f209]) ).
fof(f607,plain,
( $false
| ~ spl17_20
| spl17_30 ),
inference(forward_subsumption_resolution,[],[f606,f505]) ).
fof(f608,plain,
( ~ spl17_20
| spl17_30 ),
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f650,plain,
( member(sK15,image(sK14,sK12))
| ~ spl17_1 ),
inference(forward_demodulation,[],[f166,f352]) ).
fof(f668,plain,
( ! [X0] :
( ~ member(sK0(X0,sK15,sK14),sK12)
| ~ ilf_type(sK0(X0,sK15,sK14),member_type(sK13))
| ~ member(sK15,image(sK14,X0))
| ~ ilf_type(sK14,binary_relation_type) )
| ~ spl17_5 ),
inference(resolution,[],[f184,f330]) ).
fof(f671,plain,
( ! [X0] :
( ~ ilf_type(sK0(X0,sK15,sK14),member_type(sK13))
| ~ member(sK0(X0,sK15,sK14),sK12)
| ~ member(sK15,image(sK14,X0)) )
| ~ spl17_5
| ~ spl17_30 ),
inference(forward_subsumption_resolution,[],[f668,f597]) ).
fof(f702,plain,
( ! [X0] :
( ~ member(sK0(X0,sK15,sK14),sK12)
| ~ member(sK15,image(sK14,X0))
| ~ member(sK0(X0,sK15,sK14),sK13) )
| ~ spl17_5
| ~ spl17_30 ),
inference(resolution,[],[f671,f250]) ).
fof(f770,plain,
( ~ member(sK15,image(sK14,sK12))
| ~ member(sK0(sK12,sK15,sK14),sK13)
| ~ member(sK15,image(sK14,sK12))
| ~ ilf_type(sK14,binary_relation_type)
| ~ spl17_5
| ~ spl17_30 ),
inference(resolution,[],[f702,f316]) ).
fof(f773,plain,
( ~ member(sK15,image(sK14,sK12))
| ~ member(sK0(sK12,sK15,sK14),sK13)
| ~ ilf_type(sK14,binary_relation_type)
| ~ spl17_5
| ~ spl17_30 ),
inference(duplicate_literal_removal,[],[f770]) ).
fof(f822,plain,
( ~ member(sK15,image(sK14,sK12))
| ~ member(sK0(sK12,sK15,sK14),sK13)
| ~ spl17_5
| ~ spl17_30 ),
inference(forward_subsumption_resolution,[],[f773,f597]) ).
fof(f825,definition,
( spl17_48
<=> member(sK0(sK12,sK15,sK14),sK13) ),
introduced(definition,[new_symbols(definition,[spl17_48])],[avatar_definition]) ).
fof(f827,plain,
( ~ member(sK0(sK12,sK15,sK14),sK13)
| spl17_48 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f829,definition,
( spl17_49
<=> member(sK15,image(sK14,sK12)) ),
introduced(definition,[new_symbols(definition,[spl17_49])],[avatar_definition]) ).
fof(f830,plain,
( member(sK15,image(sK14,sK12))
| ~ spl17_49 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f1222,plain,
( ~ member(sK16,sK12)
| ~ spl17_3
| ~ spl17_21 ),
inference(resolution,[],[f509,f175]) ).
fof(f1231,plain,
( spl17_49
| ~ spl17_1 ),
inference(avatar_split_clause,[],[f650,f164,f829]) ).
fof(f1237,plain,
( ~ spl17_48
| ~ spl17_49
| ~ spl17_5
| ~ spl17_30 ),
inference(avatar_split_clause,[],[f822,f596,f183,f829,f825]) ).
fof(f1239,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_21 ),
inference(avatar_split_clause,[],[f1222,f508,f173,f168]) ).
fof(f1371,plain,
( ! [X0] : ~ member(ordered_pair(sK0(sK12,sK15,sK14),X0),sK14)
| spl17_48 ),
inference(resolution,[],[f827,f396]) ).
fof(f1571,plain,
( ~ member(sK15,image(sK14,sK12))
| ~ ilf_type(sK14,binary_relation_type)
| spl17_48 ),
inference(resolution,[],[f1371,f330]) ).
fof(f1575,plain,
( ~ ilf_type(sK14,binary_relation_type)
| spl17_48
| ~ spl17_49 ),
inference(forward_subsumption_resolution,[],[f1571,f830]) ).
fof(f1576,plain,
( $false
| ~ spl17_30
| spl17_48
| ~ spl17_49 ),
inference(forward_subsumption_resolution,[],[f1575,f597]) ).
fof(f1577,plain,
( ~ spl17_30
| spl17_48
| ~ spl17_49 ),
inference(avatar_contradiction_clause,[],[f1576]) ).
cnf(s1,plain,
( spl17_1
| spl17_2 ),
inference(sat_conversion,[],[f171]) ).
cnf(s2,plain,
( spl17_1
| spl17_3 ),
inference(sat_conversion,[],[f176]) ).
cnf(s4,plain,
( ~ spl17_1
| spl17_5 ),
inference(sat_conversion,[],[f185]) ).
cnf(s17,plain,
( spl17_1
| ~ spl17_20
| spl17_21 ),
inference(sat_conversion,[],[f510]) ).
cnf(s18,plain,
spl17_20,
inference(sat_conversion,[],[f548]) ).
cnf(s25,plain,
( ~ spl17_20
| spl17_30 ),
inference(sat_conversion,[],[f608]) ).
cnf(s62,plain,
( ~ spl17_1
| spl17_49 ),
inference(sat_conversion,[],[f1231]) ).
cnf(s65,plain,
( ~ spl17_5
| ~ spl17_30
| ~ spl17_48
| ~ spl17_49 ),
inference(sat_conversion,[],[f1237]) ).
cnf(s67,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_21 ),
inference(sat_conversion,[],[f1239]) ).
cnf(s80,plain,
( ~ spl17_30
| spl17_48
| ~ spl17_49 ),
inference(sat_conversion,[],[f1577]) ).
cnf(s81,plain,
spl17_30,
inference(rat,[],[s25,s18]) ).
cnf(s83,plain,
( spl17_1
| spl17_21 ),
inference(rat,[],[s17,s18]) ).
cnf(s86,plain,
spl17_1,
inference(rat,[],[s67,s1,s2,s83]) ).
cnf(s87,plain,
spl17_49,
inference(rat,[],[s62,s86]) ).
cnf(s90,plain,
spl17_5,
inference(rat,[],[s4,s86]) ).
cnf(s91,plain,
spl17_48,
inference(rat,[],[s80,s81,s87]) ).
cnf(s92,plain,
$false,
inference(rat,[],[s65,s91,s81,s87,s90]) ).
fof(f1578,plain,
$false,
inference(avatar_sat_refutation,[],[s92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET685+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n008.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Mon Sep 28 02:32:55 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.03/1.34 % (1814551)Detected formulas, will run a generic FOF schedule.
% 3.03/1.34 % (1814560)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1230270751:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.03/1.34 % (1814560)Instruction limit reached!
% 3.03/1.34 % (1814560)------------------------------
% 3.03/1.34 % (1814560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.34 % (1814560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.34 % (1814560)CaDiCaL version: 2.1.3
% 3.03/1.34 % (1814560)Termination reason: Instruction limit
% 3.03/1.34 % (1814560)Termination phase: Saturation
% 3.03/1.34 % (1814560)Time elapsed: 0.036 s
% 3.03/1.34 % (1814560)Peak memory usage: 88 MB
% 3.03/1.34 % (1814560)Instructions burned: 122 (million)
% 3.03/1.34 % (1814562)dis-21_1_sil=8000:lcm=predicate:random_seed=2084710623: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)
% 3.03/1.34 % (1814558)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=4278931367:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.03/1.34 % (1814559)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=451459950:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.03/1.34 % (1814557)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=4125383187:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.03/1.34 % (1814561)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3361284394:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.03/1.34 % (1814556)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=1327202174:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.03/1.34 % (1814559)Refutation not found, incomplete strategy
% 3.03/1.34 % (1814559)------------------------------
% 3.03/1.34 % (1814559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.34 % (1814559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.34 % (1814559)CaDiCaL version: 2.1.3
% 3.03/1.34 % (1814559)Termination reason: Refutation not found, incomplete strategy
% 3.03/1.34 % (1814559)Time elapsed: 0.003 s
% 3.03/1.34 % (1814559)Peak memory usage: 88 MB
% 3.03/1.34 % (1814559)Instructions burned: 3 (million)
% 3.03/1.34 % (1814561)First to succeed.
% 3.03/1.34 % (1814561)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1814551"
% 3.03/1.34 % (1814562)Instruction limit reached!
% 3.03/1.34 % (1814562)------------------------------
% 3.03/1.34 % (1814562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.34 % (1814562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.34 % (1814562)CaDiCaL version: 2.1.3
% 3.03/1.34 % (1814562)Termination reason: Instruction limit
% 3.03/1.34 % (1814562)Termination phase: Saturation
% 3.03/1.34 % (1814562)Time elapsed: 0.079 s
% 3.03/1.34 % (1814562)Peak memory usage: 90 MB
% 3.03/1.34 % (1814562)Instructions burned: 130 (million)
% 3.03/1.34 % (1814570)lrs+10_1_sil=8000:sp=occurrence:random_seed=4009440589:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.03/1.34 % (1814570)Also succeeded, but the first one will report.
% 3.03/1.34 % (1814571)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4083992104:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.03/1.34 % (1814559)------------------------------
% 3.03/1.34 % (1814559)------------------------------
% 3.03/1.34 % (1814561)Refutation found. Thanks to Tanya!
% 3.03/1.34 % SZS status Theorem for theBenchmark
% 3.03/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 3.87/1.44 % (1814561)------------------------------
% 3.87/1.44 % (1814561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.44 % (1814561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.44 % (1814561)CaDiCaL version: 2.1.3
% 3.87/1.44 % (1814561)Termination reason: Refutation
% 3.87/1.44 % (1814561)Time elapsed: 0.051 s
% 3.87/1.44 % (1814561)Peak memory usage: 90 MB
% 3.87/1.44 % (1814561)Instructions burned: 68 (million)
% 3.87/1.44 % (1814561)------------------------------
% 3.87/1.44 % (1814561)------------------------------
% 3.87/1.44 % (1814551)Success in time 0.472 s
% 3.87/1.44 % Vampire exiting
%------------------------------------------------------------------------------