%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU364+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:48:33 PM UTC 2026
% Result : Theorem 2.40s 1.28s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 12
% Syntax : Number of formulae : 181 ( 14 unt; 10 def)
% Number of atoms : 1109 ( 115 equ)
% Maximal formula atoms : 24 ( 6 avg)
% Number of connectives : 1494 ( 566 ~; 699 |; 204 &)
% ( 15 <=>; 8 =>; 0 <=; 2 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 9 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-4 aty)
% Number of variables : 276 ( 0 sgn 173 !; 103 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& transitive_relstr(X0)
& rel_str(X0)
& element(X1,powerset(the_carrier(X0)))
& finite(X2)
& element(X2,powerset(X1)) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(X2))
& ? [X5] :
( X5 = X4
& ? [X6] :
( element(X6,the_carrier(X0))
& in(X6,X1)
& relstr_set_smaller(X0,X5,X6) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e11_2_1__waybel_0__1) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& transitive_relstr(X0)
& rel_str(X0)
& element(X1,powerset(the_carrier(X0)))
& finite(X2)
& element(X2,powerset(X1)) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(X2))
& ? [X5] :
( X5 = X4
& ? [X6] :
( element(X6,the_carrier(X0))
& in(X6,X1)
& relstr_set_smaller(X0,X5,X6) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& transitive_relstr(X0)
& rel_str(X0)
& element(X1,powerset(the_carrier(X0)))
& finite(X2)
& element(X2,powerset(X1)) )
=> ( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6] :
( X6 = X4
& ? [X7] :
( element(X7,the_carrier(X0))
& in(X7,X1)
& relstr_set_smaller(X0,X6,X7) ) )
& X3 = X5
& ? [X8] :
( X8 = X5
& ? [X9] :
( element(X9,the_carrier(X0))
& in(X9,X1)
& relstr_set_smaller(X0,X8,X9) ) ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,powerset(X2))
& X5 = X4
& ? [X10] :
( X10 = X4
& ? [X11] :
( element(X11,the_carrier(X0))
& in(X11,X1)
& relstr_set_smaller(X0,X10,X11) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e11_2_1__waybel_0__1) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& transitive_relstr(X0)
& rel_str(X0)
& element(X1,powerset(the_carrier(X0)))
& finite(X2)
& element(X2,powerset(X1)) )
=> ( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6] :
( X6 = X4
& ? [X7] :
( element(X7,the_carrier(X0))
& in(X7,X1)
& relstr_set_smaller(X0,X6,X7) ) )
& X3 = X5
& ? [X8] :
( X8 = X5
& ? [X9] :
( element(X9,the_carrier(X0))
& in(X9,X1)
& relstr_set_smaller(X0,X8,X9) ) ) )
=> X4 = X5 )
=> ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( in(X12,powerset(X2))
& X11 = X12
& ? [X13] :
( X11 = X13
& ? [X14] :
( element(X14,the_carrier(X0))
& in(X14,X1)
& relstr_set_smaller(X0,X13,X14) ) ) ) ) ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( in(X4,X3)
<~> ( in(X4,powerset(X2))
& ? [X5] :
( X5 = X4
& ? [X6] :
( element(X6,the_carrier(X0))
& in(X6,X1)
& relstr_set_smaller(X0,X5,X6) ) ) ) )
& ~ empty_carrier(X0)
& transitive_relstr(X0)
& rel_str(X0)
& element(X1,powerset(the_carrier(X0)))
& finite(X2)
& element(X2,powerset(X1)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f25,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( in(X4,X3)
<~> ( in(X4,powerset(X2))
& ? [X5] :
( X5 = X4
& ? [X6] :
( element(X6,the_carrier(X0))
& in(X6,X1)
& relstr_set_smaller(X0,X5,X6) ) ) ) )
& ~ empty_carrier(X0)
& transitive_relstr(X0)
& rel_str(X0)
& element(X1,powerset(the_carrier(X0)))
& finite(X2)
& element(X2,powerset(X1)) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( in(X12,powerset(X2))
& X11 = X12
& ? [X13] :
( X11 = X13
& ? [X14] :
( element(X14,the_carrier(X0))
& in(X14,X1)
& relstr_set_smaller(X0,X13,X14) ) ) ) )
| ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6] :
( X6 = X4
& ? [X7] :
( element(X7,the_carrier(X0))
& in(X7,X1)
& relstr_set_smaller(X0,X6,X7) ) )
& X3 = X5
& ? [X8] :
( X8 = X5
& ? [X9] :
( element(X9,the_carrier(X0))
& in(X9,X1)
& relstr_set_smaller(X0,X8,X9) ) ) )
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( in(X12,powerset(X2))
& X11 = X12
& ? [X13] :
( X11 = X13
& ? [X14] :
( element(X14,the_carrier(X0))
& in(X14,X1)
& relstr_set_smaller(X0,X13,X14) ) ) ) )
| ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6] :
( X6 = X4
& ? [X7] :
( element(X7,the_carrier(X0))
& in(X7,X1)
& relstr_set_smaller(X0,X6,X7) ) )
& X3 = X5
& ? [X8] :
( X8 = X5
& ? [X9] :
( element(X9,the_carrier(X0))
& in(X9,X1)
& relstr_set_smaller(X0,X8,X9) ) ) )
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(flattening,[],[f26]) ).
fof(f39,definition,
! [X5,X0,X1] :
( ? [X8] :
( X8 = X5
& ? [X9] :
( element(X9,the_carrier(X0))
& in(X9,X1)
& relstr_set_smaller(X0,X8,X9) ) )
| ~ sP0(X5,X0,X1) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f40,definition,
! [X0,X1] :
( ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6] :
( X6 = X4
& ? [X7] :
( element(X7,the_carrier(X0))
& in(X7,X1)
& relstr_set_smaller(X0,X6,X7) ) )
& X3 = X5
& sP0(X5,X0,X1) )
| ~ sP1(X0,X1) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( in(X12,powerset(X2))
& X11 = X12
& ? [X13] :
( X11 = X13
& ? [X14] :
( element(X14,the_carrier(X0))
& in(X14,X1)
& relstr_set_smaller(X0,X13,X14) ) ) ) )
| sP1(X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(definition_folding,[],[f27,f40,f39]) ).
fof(f42,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ~ in(X4,powerset(X2))
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ element(X6,the_carrier(X0))
| ~ in(X6,X1)
| ~ relstr_set_smaller(X0,X5,X6) ) )
| ~ in(X4,X3) )
& ( ( in(X4,powerset(X2))
& ? [X5] :
( X5 = X4
& ? [X6] :
( element(X6,the_carrier(X0))
& in(X6,X1)
& relstr_set_smaller(X0,X5,X6) ) ) )
| in(X4,X3) ) )
& ~ empty_carrier(X0)
& transitive_relstr(X0)
& rel_str(X0)
& element(X1,powerset(the_carrier(X0)))
& finite(X2)
& element(X2,powerset(X1)) ),
inference(nnf_transformation,[],[f25]) ).
fof(f43,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ~ in(X4,powerset(X2))
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ element(X6,the_carrier(X0))
| ~ in(X6,X1)
| ~ relstr_set_smaller(X0,X5,X6) ) )
| ~ in(X4,X3) )
& ( ( in(X4,powerset(X2))
& ? [X5] :
( X5 = X4
& ? [X6] :
( element(X6,the_carrier(X0))
& in(X6,X1)
& relstr_set_smaller(X0,X5,X6) ) ) )
| in(X4,X3) ) )
& ~ empty_carrier(X0)
& transitive_relstr(X0)
& rel_str(X0)
& element(X1,powerset(the_carrier(X0)))
& finite(X2)
& element(X2,powerset(X1)) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
? [X0,X1,X2] :
( ! [X3] :
? [X4] :
( ( ~ in(X4,powerset(X2))
| ! [X5] :
( X4 != X5
| ! [X6] :
( ~ element(X6,the_carrier(X0))
| ~ in(X6,X1)
| ~ relstr_set_smaller(X0,X5,X6) ) )
| ~ in(X4,X3) )
& ( ( in(X4,powerset(X2))
& ? [X7] :
( X4 = X7
& ? [X8] :
( element(X8,the_carrier(X0))
& in(X8,X1)
& relstr_set_smaller(X0,X7,X8) ) ) )
| in(X4,X3) ) )
& ~ empty_carrier(X0)
& transitive_relstr(X0)
& rel_str(X0)
& element(X1,powerset(the_carrier(X0)))
& finite(X2)
& element(X2,powerset(X1)) ),
inference(rectify,[],[f43]) ).
fof(f45,plain,
( ! [X3] :
( ( ~ in(sK5(X3),powerset(sK4))
| ! [X5] :
( sK5(X3) != X5
| ! [X6] :
( ~ element(X6,the_carrier(sK2))
| ~ in(X6,sK3)
| ~ relstr_set_smaller(sK2,X5,X6) ) )
| ~ in(sK5(X3),X3) )
& ( ( in(sK5(X3),powerset(sK4))
& sK5(X3) = sK6(X3)
& element(sK7(X3),the_carrier(sK2))
& in(sK7(X3),sK3)
& relstr_set_smaller(sK2,sK6(X3),sK7(X3)) )
| in(sK5(X3),X3) ) )
& ~ empty_carrier(sK2)
& transitive_relstr(sK2)
& rel_str(sK2)
& element(sK3,powerset(the_carrier(sK2)))
& finite(sK4)
& element(sK4,powerset(sK3)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X4,sK5(X3)),skolemize(X7,sK6(X3)),skolemize(X8,sK7(X3))],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6] :
( X6 = X4
& ? [X7] :
( element(X7,the_carrier(X0))
& in(X7,X1)
& relstr_set_smaller(X0,X6,X7) ) )
& X3 = X5
& sP0(X5,X0,X1) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f40]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& X2 = X3
& ? [X5] :
( X3 = X5
& ? [X6] :
( element(X6,the_carrier(X0))
& in(X6,X1)
& relstr_set_smaller(X0,X5,X6) ) )
& X2 = X4
& sP0(X4,X0,X1) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( ( sK9(X0,X1) != sK10(X0,X1)
& sK8(X0,X1) = sK9(X0,X1)
& sK9(X0,X1) = sK11(X0,X1)
& element(sK12(X0,X1),the_carrier(X0))
& in(sK12(X0,X1),X1)
& relstr_set_smaller(X0,sK11(X0,X1),sK12(X0,X1))
& sK8(X0,X1) = sK10(X0,X1)
& sP0(sK10(X0,X1),X0,X1) )
| ~ sP1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12]),skolemize(X2,sK8(X0,X1)),skolemize(X3,sK9(X0,X1)),skolemize(X4,sK10(X0,X1)),skolemize(X5,sK11(X0,X1)),skolemize(X6,sK12(X0,X1))],[f47]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ? [X10] :
! [X11] :
( ( in(X11,X10)
| ! [X12] :
( ~ in(X12,powerset(X2))
| X11 != X12
| ! [X13] :
( X11 != X13
| ! [X14] :
( ~ element(X14,the_carrier(X0))
| ~ in(X14,X1)
| ~ relstr_set_smaller(X0,X13,X14) ) ) ) )
& ( ? [X12] :
( in(X12,powerset(X2))
& X11 = X12
& ? [X13] :
( X11 = X13
& ? [X14] :
( element(X14,the_carrier(X0))
& in(X14,X1)
& relstr_set_smaller(X0,X13,X14) ) ) )
| ~ in(X11,X10) ) )
| sP1(X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(nnf_transformation,[],[f41]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ~ in(X5,powerset(X2))
| X4 != X5
| ! [X6] :
( X4 != X6
| ! [X7] :
( ~ element(X7,the_carrier(X0))
| ~ in(X7,X1)
| ~ relstr_set_smaller(X0,X6,X7) ) ) ) )
& ( ? [X8] :
( in(X8,powerset(X2))
& X4 = X8
& ? [X9] :
( X4 = X9
& ? [X10] :
( element(X10,the_carrier(X0))
& in(X10,X1)
& relstr_set_smaller(X0,X9,X10) ) ) )
| ~ in(X4,X3) ) )
| sP1(X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ! [X4] :
( ( in(X4,sK15(X0,X1,X2))
| ! [X5] :
( ~ in(X5,powerset(X2))
| X4 != X5
| ! [X6] :
( X4 != X6
| ! [X7] :
( ~ element(X7,the_carrier(X0))
| ~ in(X7,X1)
| ~ relstr_set_smaller(X0,X6,X7) ) ) ) )
& ( ( in(sK16(X0,X1,X2,X4),powerset(X2))
& sK16(X0,X1,X2,X4) = X4
& sK17(X0,X1,X4) = X4
& element(sK18(X0,X1,X4),the_carrier(X0))
& in(sK18(X0,X1,X4),X1)
& relstr_set_smaller(X0,sK17(X0,X1,X4),sK18(X0,X1,X4)) )
| ~ in(X4,sK15(X0,X1,X2)) ) )
| sP1(X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18]),skolemize(X3,sK15(X0,X1,X2)),skolemize(X8,sK16(X0,X1,X2,X4)),skolemize(X9,sK17(X0,X1,X4)),skolemize(X10,sK18(X0,X1,X4))],[f53]) ).
fof(f64,plain,
element(sK4,powerset(sK3)),
inference(cnf_transformation,[],[f45]) ).
fof(f65,plain,
finite(sK4),
inference(cnf_transformation,[],[f45]) ).
fof(f66,plain,
element(sK3,powerset(the_carrier(sK2))),
inference(cnf_transformation,[],[f45]) ).
fof(f67,plain,
rel_str(sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f68,plain,
transitive_relstr(sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f69,plain,
~ empty_carrier(sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f70,plain,
! [X3] :
( relstr_set_smaller(sK2,sK6(X3),sK7(X3))
| in(sK5(X3),X3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f71,plain,
! [X3] :
( in(sK7(X3),sK3)
| in(sK5(X3),X3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f72,plain,
! [X3] :
( element(sK7(X3),the_carrier(sK2))
| in(sK5(X3),X3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f73,plain,
! [X3] :
( in(sK5(X3),X3)
| sK5(X3) = sK6(X3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f74,plain,
! [X3] :
( in(sK5(X3),powerset(sK4))
| in(sK5(X3),X3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f75,plain,
! [X3,X6,X5] :
( ~ in(sK5(X3),powerset(sK4))
| sK5(X3) != X5
| ~ element(X6,the_carrier(sK2))
| ~ in(X6,sK3)
| ~ relstr_set_smaller(sK2,X5,X6)
| ~ in(sK5(X3),X3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f77,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK8(X0,X1) = sK10(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f82,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK8(X0,X1) = sK9(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f83,plain,
! [X0,X1] :
( sK9(X0,X1) != sK10(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f88,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK15(X0,X1,X2))
| relstr_set_smaller(X0,sK17(X0,X1,X4),sK18(X0,X1,X4))
| sP1(X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f89,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK15(X0,X1,X2))
| in(sK18(X0,X1,X4),X1)
| sP1(X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f90,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK15(X0,X1,X2))
| element(sK18(X0,X1,X4),the_carrier(X0))
| sP1(X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f91,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK15(X0,X1,X2))
| sK17(X0,X1,X4) = X4
| sP1(X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f92,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK15(X0,X1,X2))
| sK16(X0,X1,X2,X4) = X4
| sP1(X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f93,plain,
! [X2,X0,X1,X4] :
( in(sK16(X0,X1,X2,X4),powerset(X2))
| ~ in(X4,sK15(X0,X1,X2))
| sP1(X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f94,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( in(X4,sK15(X0,X1,X2))
| ~ in(X5,powerset(X2))
| X4 != X5
| X4 != X6
| ~ element(X7,the_carrier(X0))
| ~ in(X7,X1)
| ~ relstr_set_smaller(X0,X6,X7)
| sP1(X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f119,plain,
! [X3,X6] :
( ~ relstr_set_smaller(sK2,sK5(X3),X6)
| ~ element(X6,the_carrier(sK2))
| ~ in(X6,sK3)
| ~ in(sK5(X3),powerset(sK4))
| ~ in(sK5(X3),X3) ),
inference(equality_resolution,[],[f75]) ).
fof(f120,plain,
! [X2,X0,X1,X6,X7,X5] :
( in(X5,sK15(X0,X1,X2))
| ~ in(X5,powerset(X2))
| X5 != X6
| ~ element(X7,the_carrier(X0))
| ~ in(X7,X1)
| ~ relstr_set_smaller(X0,X6,X7)
| sP1(X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(equality_resolution,[],[f94]) ).
fof(f121,plain,
! [X2,X0,X1,X6,X7] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ in(X6,powerset(X2))
| ~ element(X7,the_carrier(X0))
| ~ in(X7,X1)
| ~ relstr_set_smaller(X0,X6,X7)
| sP1(X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| in(X6,sK15(X0,X1,X2))
| ~ finite(X2)
| ~ element(X2,powerset(X1)) ),
inference(equality_resolution,[],[f120]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| sP1(X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| sK5(sK15(X0,X1,X2)) = sK17(X0,X1,sK5(sK15(X0,X1,X2)))
| ~ finite(X2)
| ~ element(X2,powerset(X1))
| sK5(sK15(X0,X1,X2)) = sK6(sK15(X0,X1,X2)) ),
inference(resolution,[],[f91,f73]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ in(X0,powerset(X1))
| ~ element(X2,the_carrier(sK2))
| ~ in(X2,sK3)
| ~ relstr_set_smaller(sK2,X0,X2)
| sP1(sK2,sK3)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| in(X0,sK15(sK2,sK3,X1))
| ~ finite(X1)
| ~ element(X1,powerset(sK3)) ),
inference(resolution,[],[f121,f66]) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ in(X0,powerset(X1))
| ~ element(X2,the_carrier(sK2))
| ~ in(X2,sK3)
| ~ relstr_set_smaller(sK2,X0,X2)
| sP1(sK2,sK3)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| in(X0,sK15(sK2,sK3,X1))
| ~ finite(X1)
| ~ element(X1,powerset(sK3)) ),
inference(forward_subsumption_resolution,[],[f201,f69]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ in(X0,powerset(X1))
| ~ element(X2,the_carrier(sK2))
| ~ in(X2,sK3)
| ~ relstr_set_smaller(sK2,X0,X2)
| sP1(sK2,sK3)
| ~ rel_str(sK2)
| in(X0,sK15(sK2,sK3,X1))
| ~ finite(X1)
| ~ element(X1,powerset(sK3)) ),
inference(forward_subsumption_resolution,[],[f209,f68]) ).
fof(f211,plain,
! [X2,X0,X1] :
( ~ in(X0,powerset(X1))
| ~ element(X2,the_carrier(sK2))
| ~ in(X2,sK3)
| ~ relstr_set_smaller(sK2,X0,X2)
| sP1(sK2,sK3)
| in(X0,sK15(sK2,sK3,X1))
| ~ finite(X1)
| ~ element(X1,powerset(sK3)) ),
inference(forward_subsumption_resolution,[],[f210,f67]) ).
fof(f213,definition,
( spl28_3
<=> sP1(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl28_3])],[avatar_definition]) ).
fof(f214,plain,
( ~ sP1(sK2,sK3)
| spl28_3 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f215,plain,
( sP1(sK2,sK3)
| ~ spl28_3 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f217,definition,
( spl28_4
<=> ! [X2,X0,X1] :
( ~ in(X0,powerset(X1))
| ~ element(X1,powerset(sK3))
| ~ finite(X1)
| in(X0,sK15(sK2,sK3,X1))
| ~ relstr_set_smaller(sK2,X0,X2)
| ~ element(X2,the_carrier(sK2))
| ~ in(X2,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl28_4])],[avatar_definition]) ).
fof(f218,plain,
( ! [X2,X0,X1] :
( ~ relstr_set_smaller(sK2,X0,X2)
| ~ element(X1,powerset(sK3))
| ~ finite(X1)
| in(X0,sK15(sK2,sK3,X1))
| ~ in(X0,powerset(X1))
| ~ element(X2,the_carrier(sK2))
| ~ in(X2,sK3) )
| ~ spl28_4 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f219,plain,
( spl28_3
| spl28_4 ),
inference(avatar_split_clause,[],[f211,f217,f213]) ).
fof(f223,plain,
( sK10(sK2,sK3) = sK8(sK2,sK3)
| ~ spl28_3 ),
inference(resolution,[],[f215,f77]) ).
fof(f234,plain,
( sK8(sK2,sK3) != sK9(sK2,sK3)
| ~ sP1(sK2,sK3)
| ~ spl28_3 ),
inference(superposition,[],[f83,f223]) ).
fof(f237,plain,
( ~ sP1(sK2,sK3)
| ~ spl28_3 ),
inference(forward_subsumption_resolution,[],[f234,f82]) ).
fof(f238,plain,
( $false
| ~ spl28_3 ),
inference(forward_subsumption_resolution,[],[f237,f215]) ).
fof(f239,plain,
~ spl28_3,
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f240,plain,
( ! [X0,X1] :
( ~ element(X0,powerset(sK3))
| ~ finite(X0)
| in(sK6(X1),sK15(sK2,sK3,X0))
| ~ in(sK6(X1),powerset(X0))
| ~ element(sK7(X1),the_carrier(sK2))
| ~ in(sK7(X1),sK3)
| in(sK5(X1),X1) )
| ~ spl28_4 ),
inference(resolution,[],[f218,f70]) ).
fof(f245,plain,
( ! [X0,X1] :
( ~ element(X0,powerset(sK3))
| ~ finite(X0)
| in(sK6(X1),sK15(sK2,sK3,X0))
| ~ in(sK6(X1),powerset(X0))
| ~ in(sK7(X1),sK3)
| in(sK5(X1),X1) )
| ~ spl28_4 ),
inference(forward_subsumption_resolution,[],[f240,f72]) ).
fof(f246,plain,
( ! [X0,X1] :
( ~ in(sK6(X1),powerset(X0))
| ~ finite(X0)
| in(sK6(X1),sK15(sK2,sK3,X0))
| ~ element(X0,powerset(sK3))
| in(sK5(X1),X1) )
| ~ spl28_4 ),
inference(forward_subsumption_resolution,[],[f245,f71]) ).
fof(f287,plain,
! [X0] :
( sP1(sK2,sK3)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| sK5(sK15(sK2,sK3,X0)) = sK17(sK2,sK3,sK5(sK15(sK2,sK3,X0)))
| ~ finite(X0)
| ~ element(X0,powerset(sK3))
| sK5(sK15(sK2,sK3,X0)) = sK6(sK15(sK2,sK3,X0)) ),
inference(resolution,[],[f161,f66]) ).
fof(f295,plain,
( ! [X0] :
( empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| sK5(sK15(sK2,sK3,X0)) = sK17(sK2,sK3,sK5(sK15(sK2,sK3,X0)))
| ~ finite(X0)
| ~ element(X0,powerset(sK3))
| sK5(sK15(sK2,sK3,X0)) = sK6(sK15(sK2,sK3,X0)) )
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f287,f214]) ).
fof(f296,plain,
( ! [X0] :
( ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| sK5(sK15(sK2,sK3,X0)) = sK17(sK2,sK3,sK5(sK15(sK2,sK3,X0)))
| ~ finite(X0)
| ~ element(X0,powerset(sK3))
| sK5(sK15(sK2,sK3,X0)) = sK6(sK15(sK2,sK3,X0)) )
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f295,f69]) ).
fof(f297,plain,
( ! [X0] :
( ~ rel_str(sK2)
| sK5(sK15(sK2,sK3,X0)) = sK17(sK2,sK3,sK5(sK15(sK2,sK3,X0)))
| ~ finite(X0)
| ~ element(X0,powerset(sK3))
| sK5(sK15(sK2,sK3,X0)) = sK6(sK15(sK2,sK3,X0)) )
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f296,f68]) ).
fof(f298,plain,
( ! [X0] :
( ~ element(X0,powerset(sK3))
| ~ finite(X0)
| sK5(sK15(sK2,sK3,X0)) = sK17(sK2,sK3,sK5(sK15(sK2,sK3,X0)))
| sK5(sK15(sK2,sK3,X0)) = sK6(sK15(sK2,sK3,X0)) )
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f297,f67]) ).
fof(f299,plain,
( ~ finite(sK4)
| sK5(sK15(sK2,sK3,sK4)) = sK17(sK2,sK3,sK5(sK15(sK2,sK3,sK4)))
| sK5(sK15(sK2,sK3,sK4)) = sK6(sK15(sK2,sK3,sK4))
| spl28_3 ),
inference(resolution,[],[f298,f64]) ).
fof(f324,plain,
( sK5(sK15(sK2,sK3,sK4)) = sK17(sK2,sK3,sK5(sK15(sK2,sK3,sK4)))
| sK5(sK15(sK2,sK3,sK4)) = sK6(sK15(sK2,sK3,sK4))
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f299,f65]) ).
fof(f353,definition,
( spl28_15
<=> sK5(sK15(sK2,sK3,sK4)) = sK6(sK15(sK2,sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl28_15])],[avatar_definition]) ).
fof(f354,plain,
( sK5(sK15(sK2,sK3,sK4)) != sK6(sK15(sK2,sK3,sK4))
| spl28_15 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f355,plain,
( sK5(sK15(sK2,sK3,sK4)) = sK6(sK15(sK2,sK3,sK4))
| ~ spl28_15 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f357,definition,
( spl28_16
<=> sK5(sK15(sK2,sK3,sK4)) = sK17(sK2,sK3,sK5(sK15(sK2,sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl28_16])],[avatar_definition]) ).
fof(f358,plain,
( sK5(sK15(sK2,sK3,sK4)) != sK17(sK2,sK3,sK5(sK15(sK2,sK3,sK4)))
| spl28_16 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f359,plain,
( sK5(sK15(sK2,sK3,sK4)) = sK17(sK2,sK3,sK5(sK15(sK2,sK3,sK4)))
| ~ spl28_16 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f360,plain,
( spl28_15
| spl28_16
| spl28_3 ),
inference(avatar_split_clause,[],[f324,f213,f357,f353]) ).
fof(f386,plain,
( ! [X0] :
( ~ in(sK5(sK15(sK2,sK3,sK4)),powerset(X0))
| ~ finite(X0)
| in(sK5(sK15(sK2,sK3,sK4)),sK15(sK2,sK3,X0))
| ~ element(X0,powerset(sK3))
| in(sK5(sK15(sK2,sK3,sK4)),sK15(sK2,sK3,sK4)) )
| ~ spl28_4
| ~ spl28_15 ),
inference(superposition,[],[f246,f355]) ).
fof(f389,definition,
( spl28_17
<=> in(sK5(sK15(sK2,sK3,sK4)),sK15(sK2,sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl28_17])],[avatar_definition]) ).
fof(f390,plain,
( ~ in(sK5(sK15(sK2,sK3,sK4)),sK15(sK2,sK3,sK4))
| spl28_17 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f391,plain,
( in(sK5(sK15(sK2,sK3,sK4)),sK15(sK2,sK3,sK4))
| ~ spl28_17 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f398,definition,
( spl28_19
<=> ! [X0] :
( ~ in(sK5(sK15(sK2,sK3,sK4)),powerset(X0))
| ~ element(X0,powerset(sK3))
| in(sK5(sK15(sK2,sK3,sK4)),sK15(sK2,sK3,X0))
| ~ finite(X0) ) ),
introduced(definition,[new_symbols(definition,[spl28_19])],[avatar_definition]) ).
fof(f399,plain,
( ! [X0] :
( in(sK5(sK15(sK2,sK3,sK4)),sK15(sK2,sK3,X0))
| ~ element(X0,powerset(sK3))
| ~ in(sK5(sK15(sK2,sK3,sK4)),powerset(X0))
| ~ finite(X0) )
| ~ spl28_19 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f400,plain,
( spl28_17
| spl28_19
| ~ spl28_4
| ~ spl28_15 ),
inference(avatar_split_clause,[],[f386,f353,f217,f398,f389]) ).
fof(f650,definition,
( spl28_36
<=> relstr_set_smaller(sK2,sK5(sK15(sK2,sK3,sK4)),sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4)))) ),
introduced(definition,[new_symbols(definition,[spl28_36])],[avatar_definition]) ).
fof(f651,plain,
( ~ relstr_set_smaller(sK2,sK5(sK15(sK2,sK3,sK4)),sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))))
| spl28_36 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f652,plain,
( relstr_set_smaller(sK2,sK5(sK15(sK2,sK3,sK4)),sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))))
| ~ spl28_36 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f655,definition,
( spl28_37
<=> in(sK5(sK15(sK2,sK3,sK4)),powerset(sK4)) ),
introduced(definition,[new_symbols(definition,[spl28_37])],[avatar_definition]) ).
fof(f656,plain,
( ~ in(sK5(sK15(sK2,sK3,sK4)),powerset(sK4))
| spl28_37 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f657,plain,
( in(sK5(sK15(sK2,sK3,sK4)),powerset(sK4))
| ~ spl28_37 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f679,plain,
( sK5(sK15(sK2,sK3,sK4)) = sK17(sK2,sK3,sK5(sK15(sK2,sK3,sK4)))
| sP1(sK2,sK3)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| ~ spl28_17 ),
inference(resolution,[],[f391,f91]) ).
fof(f680,plain,
( in(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK3)
| sP1(sK2,sK3)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| ~ spl28_17 ),
inference(resolution,[],[f391,f89]) ).
fof(f682,plain,
( in(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK3)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f680,f214]) ).
fof(f683,plain,
( sP1(sK2,sK3)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_16
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f679,f358]) ).
fof(f687,plain,
( in(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK3)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f682,f69]) ).
fof(f688,plain,
( empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| spl28_16
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f683,f214]) ).
fof(f692,plain,
( in(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK3)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f687,f68]) ).
fof(f693,plain,
( ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| spl28_16
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f688,f69]) ).
fof(f697,plain,
( in(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK3)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f692,f67]) ).
fof(f698,plain,
( ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| spl28_16
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f693,f68]) ).
fof(f702,plain,
( in(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK3)
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f697,f66]) ).
fof(f703,plain,
( ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| spl28_16
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f698,f67]) ).
fof(f707,plain,
( in(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK3)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f702,f65]) ).
fof(f708,plain,
( ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| spl28_16
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f703,f66]) ).
fof(f712,plain,
( in(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK3)
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f707,f64]) ).
fof(f713,plain,
( ~ element(sK4,powerset(sK3))
| spl28_3
| spl28_16
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f708,f65]) ).
fof(f717,plain,
( $false
| spl28_3
| spl28_16
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f713,f64]) ).
fof(f718,plain,
( spl28_3
| spl28_16
| ~ spl28_17 ),
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f723,plain,
( in(sK5(sK15(sK2,sK3,sK4)),powerset(sK4))
| spl28_17 ),
inference(resolution,[],[f390,f74]) ).
fof(f729,plain,
( spl28_37
| spl28_17 ),
inference(avatar_split_clause,[],[f723,f389,f655]) ).
fof(f767,plain,
( sK5(sK15(sK2,sK3,sK4)) = sK16(sK2,sK3,sK4,sK5(sK15(sK2,sK3,sK4)))
| sP1(sK2,sK3)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| ~ spl28_17 ),
inference(resolution,[],[f391,f92]) ).
fof(f768,plain,
( element(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),the_carrier(sK2))
| sP1(sK2,sK3)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| ~ spl28_17 ),
inference(resolution,[],[f391,f90]) ).
fof(f772,plain,
( element(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),the_carrier(sK2))
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f768,f214]) ).
fof(f773,plain,
( sK5(sK15(sK2,sK3,sK4)) = sK16(sK2,sK3,sK4,sK5(sK15(sK2,sK3,sK4)))
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f767,f214]) ).
fof(f775,plain,
( element(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),the_carrier(sK2))
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f772,f69]) ).
fof(f776,plain,
( sK5(sK15(sK2,sK3,sK4)) = sK16(sK2,sK3,sK4,sK5(sK15(sK2,sK3,sK4)))
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f773,f69]) ).
fof(f778,plain,
( element(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),the_carrier(sK2))
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f775,f68]) ).
fof(f779,plain,
( sK5(sK15(sK2,sK3,sK4)) = sK16(sK2,sK3,sK4,sK5(sK15(sK2,sK3,sK4)))
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f776,f68]) ).
fof(f781,plain,
( element(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),the_carrier(sK2))
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f778,f67]) ).
fof(f782,plain,
( sK5(sK15(sK2,sK3,sK4)) = sK16(sK2,sK3,sK4,sK5(sK15(sK2,sK3,sK4)))
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f779,f67]) ).
fof(f784,plain,
( element(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),the_carrier(sK2))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f781,f66]) ).
fof(f785,plain,
( sK5(sK15(sK2,sK3,sK4)) = sK16(sK2,sK3,sK4,sK5(sK15(sK2,sK3,sK4)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f782,f66]) ).
fof(f787,plain,
( element(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),the_carrier(sK2))
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f784,f65]) ).
fof(f788,plain,
( sK5(sK15(sK2,sK3,sK4)) = sK16(sK2,sK3,sK4,sK5(sK15(sK2,sK3,sK4)))
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f785,f65]) ).
fof(f790,plain,
( element(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),the_carrier(sK2))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f787,f64]) ).
fof(f791,plain,
( sK5(sK15(sK2,sK3,sK4)) = sK16(sK2,sK3,sK4,sK5(sK15(sK2,sK3,sK4)))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f788,f64]) ).
fof(f834,plain,
( ~ element(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),the_carrier(sK2))
| ~ in(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK3)
| ~ in(sK5(sK15(sK2,sK3,sK4)),powerset(sK4))
| ~ in(sK5(sK15(sK2,sK3,sK4)),sK15(sK2,sK3,sK4))
| ~ spl28_36 ),
inference(resolution,[],[f652,f119]) ).
fof(f836,plain,
( ~ in(sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK3)
| ~ in(sK5(sK15(sK2,sK3,sK4)),powerset(sK4))
| ~ in(sK5(sK15(sK2,sK3,sK4)),sK15(sK2,sK3,sK4))
| spl28_3
| ~ spl28_17
| ~ spl28_36 ),
inference(forward_subsumption_resolution,[],[f834,f790]) ).
fof(f837,plain,
( ~ in(sK5(sK15(sK2,sK3,sK4)),powerset(sK4))
| ~ in(sK5(sK15(sK2,sK3,sK4)),sK15(sK2,sK3,sK4))
| spl28_3
| ~ spl28_17
| ~ spl28_36 ),
inference(forward_subsumption_resolution,[],[f836,f712]) ).
fof(f838,plain,
( ~ in(sK5(sK15(sK2,sK3,sK4)),powerset(sK4))
| spl28_3
| ~ spl28_17
| ~ spl28_36 ),
inference(forward_subsumption_resolution,[],[f837,f391]) ).
fof(f839,plain,
( ~ spl28_37
| spl28_3
| ~ spl28_17
| ~ spl28_36 ),
inference(avatar_split_clause,[],[f838,f650,f389,f213,f655]) ).
fof(f858,plain,
( in(sK5(sK15(sK2,sK3,sK4)),powerset(sK4))
| ~ in(sK5(sK15(sK2,sK3,sK4)),sK15(sK2,sK3,sK4))
| sP1(sK2,sK3)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(superposition,[],[f93,f791]) ).
fof(f859,plain,
( in(sK5(sK15(sK2,sK3,sK4)),powerset(sK4))
| sP1(sK2,sK3)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f858,f74]) ).
fof(f861,plain,
( sP1(sK2,sK3)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17
| spl28_37 ),
inference(forward_subsumption_resolution,[],[f859,f656]) ).
fof(f863,plain,
( empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17
| spl28_37 ),
inference(forward_subsumption_resolution,[],[f861,f214]) ).
fof(f865,plain,
( ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17
| spl28_37 ),
inference(forward_subsumption_resolution,[],[f863,f69]) ).
fof(f867,plain,
( ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17
| spl28_37 ),
inference(forward_subsumption_resolution,[],[f865,f68]) ).
fof(f869,plain,
( ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17
| spl28_37 ),
inference(forward_subsumption_resolution,[],[f867,f67]) ).
fof(f871,plain,
( ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17
| spl28_37 ),
inference(forward_subsumption_resolution,[],[f869,f66]) ).
fof(f873,plain,
( ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17
| spl28_37 ),
inference(forward_subsumption_resolution,[],[f871,f65]) ).
fof(f875,plain,
( $false
| spl28_3
| ~ spl28_17
| spl28_37 ),
inference(forward_subsumption_resolution,[],[f873,f64]) ).
fof(f876,plain,
( spl28_3
| ~ spl28_17
| spl28_37 ),
inference(avatar_contradiction_clause,[],[f875]) ).
fof(f964,plain,
( sK5(sK15(sK2,sK3,sK4)) = sK6(sK15(sK2,sK3,sK4))
| spl28_17 ),
inference(resolution,[],[f390,f73]) ).
fof(f1004,plain,
( ~ element(sK4,powerset(sK3))
| ~ in(sK5(sK15(sK2,sK3,sK4)),powerset(sK4))
| ~ finite(sK4)
| spl28_17
| ~ spl28_19 ),
inference(resolution,[],[f399,f390]) ).
fof(f1020,plain,
( ~ in(sK5(sK15(sK2,sK3,sK4)),powerset(sK4))
| ~ finite(sK4)
| spl28_17
| ~ spl28_19 ),
inference(forward_subsumption_resolution,[],[f1004,f64]) ).
fof(f1025,plain,
( ~ finite(sK4)
| spl28_17
| ~ spl28_19
| ~ spl28_37 ),
inference(forward_subsumption_resolution,[],[f1020,f657]) ).
fof(f1030,plain,
( $false
| spl28_17
| ~ spl28_19
| ~ spl28_37 ),
inference(forward_subsumption_resolution,[],[f1025,f65]) ).
fof(f1031,plain,
( spl28_17
| ~ spl28_19
| ~ spl28_37 ),
inference(avatar_contradiction_clause,[],[f1030]) ).
fof(f1057,plain,
( $false
| spl28_15
| spl28_17 ),
inference(forward_subsumption_resolution,[],[f964,f354]) ).
fof(f1058,plain,
( spl28_15
| spl28_17 ),
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1100,plain,
( relstr_set_smaller(sK2,sK17(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))))
| sP1(sK2,sK3)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| ~ spl28_17 ),
inference(resolution,[],[f391,f88]) ).
fof(f1108,plain,
( relstr_set_smaller(sK2,sK17(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))))
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f1100,f214]) ).
fof(f1111,plain,
( relstr_set_smaller(sK2,sK17(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))))
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f1108,f69]) ).
fof(f1114,plain,
( relstr_set_smaller(sK2,sK17(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))))
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f1111,f68]) ).
fof(f1117,plain,
( relstr_set_smaller(sK2,sK17(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))))
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f1114,f67]) ).
fof(f1120,plain,
( relstr_set_smaller(sK2,sK17(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f1117,f66]) ).
fof(f1123,plain,
( relstr_set_smaller(sK2,sK17(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))))
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f1120,f65]) ).
fof(f1126,plain,
( relstr_set_smaller(sK2,sK17(sK2,sK3,sK5(sK15(sK2,sK3,sK4))),sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f1123,f64]) ).
fof(f1128,plain,
( relstr_set_smaller(sK2,sK5(sK15(sK2,sK3,sK4)),sK18(sK2,sK3,sK5(sK15(sK2,sK3,sK4))))
| spl28_3
| ~ spl28_16
| ~ spl28_17 ),
inference(forward_demodulation,[],[f1126,f359]) ).
fof(f1129,plain,
( $false
| spl28_3
| ~ spl28_16
| ~ spl28_17
| spl28_36 ),
inference(forward_subsumption_resolution,[],[f1128,f651]) ).
fof(f1130,plain,
( spl28_3
| ~ spl28_16
| ~ spl28_17
| spl28_36 ),
inference(avatar_contradiction_clause,[],[f1129]) ).
cnf(s2,plain,
( spl28_3
| spl28_4 ),
inference(sat_conversion,[],[f219]) ).
cnf(s3,plain,
~ spl28_3,
inference(sat_conversion,[],[f239]) ).
cnf(s8,plain,
( spl28_3
| spl28_15
| spl28_16 ),
inference(sat_conversion,[],[f360]) ).
cnf(s12,plain,
( ~ spl28_4
| ~ spl28_15
| spl28_17
| spl28_19 ),
inference(sat_conversion,[],[f400]) ).
cnf(s29,plain,
( spl28_3
| spl28_16
| ~ spl28_17 ),
inference(sat_conversion,[],[f718]) ).
cnf(s32,plain,
( spl28_17
| spl28_37 ),
inference(sat_conversion,[],[f729]) ).
cnf(s34,plain,
( spl28_3
| ~ spl28_17
| ~ spl28_36
| ~ spl28_37 ),
inference(sat_conversion,[],[f839]) ).
cnf(s35,plain,
( spl28_3
| ~ spl28_17
| spl28_37 ),
inference(sat_conversion,[],[f876]) ).
cnf(s39,plain,
( spl28_17
| ~ spl28_19
| ~ spl28_37 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s43,plain,
( spl28_15
| spl28_17 ),
inference(sat_conversion,[],[f1058]) ).
cnf(s47,plain,
( spl28_3
| ~ spl28_16
| ~ spl28_17
| spl28_36 ),
inference(sat_conversion,[],[f1130]) ).
cnf(s48,plain,
spl28_4,
inference(rat,[],[s2,s3]) ).
cnf(s49,plain,
spl28_15,
inference(rat,[],[s34,s47,s35,s8,s43,s3]) ).
cnf(s50,plain,
( ~ spl28_17
| ~ spl28_16 ),
inference(rat,[],[s34,s47,s35,s3]) ).
cnf(s51,plain,
spl28_17,
inference(rat,[],[s39,s12,s32,s48,s49]) ).
cnf(s55,plain,
spl28_16,
inference(rat,[],[s29,s3,s51]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s50,s55,s51]) ).
fof(f1131,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU364+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 04:54:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.40/1.28 % (1440989)Detected formulas, will run a generic FOF schedule.
% 2.40/1.28 % (1441000)dis-21_1_sil=8000:lcm=predicate:random_seed=4208835954: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)
% 2.40/1.28 % (1440995)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=2670128588:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.40/1.28 % (1440997)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3197048975:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.40/1.28 % (1440998)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3316637162:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.40/1.28 % (1440994)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=3184633719:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.40/1.28 % (1440996)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=1265959748:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.40/1.28 % (1440999)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1653554400:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.40/1.28 % (1440997)Refutation not found, incomplete strategy
% 2.40/1.28 % (1440997)------------------------------
% 2.40/1.28 % (1440997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/1.28 % (1440997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/1.28 % (1440997)CaDiCaL version: 2.1.3
% 2.40/1.28 % (1440997)Termination reason: Refutation not found, incomplete strategy
% 2.40/1.28 % (1440997)Time elapsed: 0.004 s
% 2.40/1.28 % (1440997)Peak memory usage: 88 MB
% 2.40/1.28 % (1440997)Instructions burned: 5 (million)
% 2.40/1.28 % (1441000)Instruction limit reached!
% 2.40/1.28 % (1441000)------------------------------
% 2.40/1.28 % (1441000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/1.28 % (1441000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/1.28 % (1441000)CaDiCaL version: 2.1.3
% 2.40/1.28 % (1441000)Termination reason: Instruction limit
% 2.40/1.28 % (1441000)Termination phase: Saturation
% 2.40/1.28 % (1441000)Time elapsed: 0.037 s
% 2.40/1.28 % (1441000)Peak memory usage: 89 MB
% 2.40/1.28 % (1441000)Instructions burned: 133 (million)
% 2.40/1.28 % (1440998)Instruction limit reached!
% 2.40/1.28 % (1440998)------------------------------
% 2.40/1.28 % (1440998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/1.28 % (1440998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/1.28 % (1440998)CaDiCaL version: 2.1.3
% 2.40/1.28 % (1440998)Termination reason: Instruction limit
% 2.40/1.28 % (1440998)Termination phase: Saturation
% 2.40/1.28 % (1440998)Time elapsed: 0.065 s
% 2.40/1.28 % (1440998)Peak memory usage: 88 MB
% 2.40/1.28 % (1440998)Instructions burned: 120 (million)
% 2.40/1.28 % (1440999)Instruction limit reached!
% 2.40/1.28 % (1440999)------------------------------
% 2.40/1.28 % (1440999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/1.28 % (1440999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/1.28 % (1440999)CaDiCaL version: 2.1.3
% 2.40/1.28 % (1440999)Termination reason: Instruction limit
% 2.40/1.28 % (1440999)Termination phase: Saturation
% 2.40/1.28 % (1440999)Time elapsed: 0.085 s
% 2.40/1.28 % (1440999)Peak memory usage: 89 MB
% 2.40/1.28 % (1440999)Instructions burned: 140 (million)
% 2.40/1.28 % (1441008)lrs+10_1_sil=8000:sp=occurrence:random_seed=3852433598:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.40/1.28 % (1441008)First to succeed.
% 2.40/1.28 % (1441008)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1440989"
% 2.40/1.28 % (1441009)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1565743158:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.40/1.28 % (1441010)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1768996218:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.40/1.28 % (1441010)Refutation not found, incomplete strategy
% 2.40/1.28 % (1441010)------------------------------
% 2.40/1.28 % (1441010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.40/1.28 % (1441010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/1.28 % (1441010)CaDiCaL version: 2.1.3
% 2.40/1.28 % (1441010)Termination reason: Refutation not found, incomplete strategy
% 2.40/1.28 % (1441010)Time elapsed: 0.010 s
% 2.40/1.28 % (1441010)Peak memory usage: 89 MB
% 2.40/1.28 % (1441010)Instructions burned: 13 (million)
% 2.40/1.28 % (1440997)------------------------------
% 2.40/1.28 % (1440997)------------------------------
% 2.40/1.28 % (1441008)Refutation found. Thanks to Tanya!
% 2.40/1.28 % SZS status Theorem for theBenchmark
% 2.40/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.48 % (1441008)------------------------------
% 3.57/1.48 % (1441008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.48 % (1441008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.48 % (1441008)CaDiCaL version: 2.1.3
% 3.57/1.48 % (1441008)Termination reason: Refutation
% 3.57/1.48 % (1441008)Time elapsed: 0.022 s
% 3.57/1.48 % (1441008)Peak memory usage: 90 MB
% 3.57/1.48 % (1441008)Instructions burned: 65 (million)
% 3.57/1.48 % (1441008)------------------------------
% 3.57/1.48 % (1441008)------------------------------
% 3.57/1.48 % (1440989)Success in time 0.42 s
% 3.57/1.48 % Vampire exiting
%------------------------------------------------------------------------------