%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU364+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:53:01 PM UTC 2026
% Result : Theorem 0.16s 0.53s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 13
% Syntax : Number of formulae : 190 ( 14 unt; 11 def)
% Number of atoms : 1165 ( 138 equ)
% Maximal formula atoms : 24 ( 6 avg)
% Number of connectives : 1571 ( 596 ~; 745 |; 204 &)
% ( 16 <=>; 8 =>; 0 <=; 2 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 10 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-4 aty)
% Number of variables : 284 ( 0 sgn 181 !; 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/sandbox2/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/sandbox2/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(f37,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(f38,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,[],[f37]) ).
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,[],[f38,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(f55,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(f56,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,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( ( sK18(X0,X1) != sK19(X0,X1)
& sK17(X0,X1) = sK18(X0,X1)
& sK18(X0,X1) = sK20(X0,X1)
& element(sK21(X0,X1),the_carrier(X0))
& in(sK21(X0,X1),X1)
& relstr_set_smaller(X0,sK20(X0,X1),sK21(X0,X1))
& sK17(X0,X1) = sK19(X0,X1)
& sP0(sK19(X0,X1),X0,X1) )
| ~ sP1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21]),skolemize(X2,sK17(X0,X1)),skolemize(X3,sK18(X0,X1)),skolemize(X4,sK19(X0,X1)),skolemize(X5,sK20(X0,X1)),skolemize(X6,sK21(X0,X1))],[f56]) ).
fof(f61,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(f62,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,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ! [X4] :
( ( in(X4,sK24(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(sK25(X0,X1,X2,X4),powerset(X2))
& sK25(X0,X1,X2,X4) = X4
& sK26(X0,X1,X4) = X4
& element(sK27(X0,X1,X4),the_carrier(X0))
& in(sK27(X0,X1,X4),X1)
& relstr_set_smaller(X0,sK26(X0,X1,X4),sK27(X0,X1,X4)) )
| ~ in(X4,sK24(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,[sK24,sK25,sK26,sK27]),skolemize(X3,sK24(X0,X1,X2)),skolemize(X8,sK25(X0,X1,X2,X4)),skolemize(X9,sK26(X0,X1,X4)),skolemize(X10,sK27(X0,X1,X4))],[f62]) ).
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(f101,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK17(X0,X1) = sK19(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f106,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sK17(X0,X1) = sK18(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f107,plain,
! [X0,X1] :
( sK18(X0,X1) != sK19(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f112,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK24(X0,X1,X2))
| relstr_set_smaller(X0,sK26(X0,X1,X4),sK27(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,[],[f63]) ).
fof(f113,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK24(X0,X1,X2))
| in(sK27(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,[],[f63]) ).
fof(f114,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK24(X0,X1,X2))
| element(sK27(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,[],[f63]) ).
fof(f115,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK24(X0,X1,X2))
| sK26(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,[],[f63]) ).
fof(f116,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK24(X0,X1,X2))
| sK25(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,[],[f63]) ).
fof(f117,plain,
! [X2,X0,X1,X4] :
( in(sK25(X0,X1,X2,X4),powerset(X2))
| ~ in(X4,sK24(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,[],[f63]) ).
fof(f118,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( in(X4,sK24(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,[],[f63]) ).
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,sK24(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,[],[f118]) ).
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,sK24(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(sK24(X0,X1,X2)) = sK26(X0,X1,sK5(sK24(X0,X1,X2)))
| ~ finite(X2)
| ~ element(X2,powerset(X1))
| sK5(sK24(X0,X1,X2)) = sK6(sK24(X0,X1,X2)) ),
inference(resolution,[],[f115,f73]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| sP1(X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| sK5(sK24(X0,X1,X2)) = sK25(X0,X1,X2,sK5(sK24(X0,X1,X2)))
| ~ finite(X2)
| ~ element(X2,powerset(X1))
| sK5(sK24(X0,X1,X2)) = sK6(sK24(X0,X1,X2)) ),
inference(resolution,[],[f116,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,sK24(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,sK24(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,sK24(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,sK24(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,sK24(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,sK24(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,
( sK19(sK2,sK3) = sK17(sK2,sK3)
| ~ spl28_3 ),
inference(resolution,[],[f215,f101]) ).
fof(f231,plain,
( sK17(sK2,sK3) != sK18(sK2,sK3)
| ~ sP1(sK2,sK3)
| ~ spl28_3 ),
inference(superposition,[],[f107,f223]) ).
fof(f234,plain,
( ~ sP1(sK2,sK3)
| ~ spl28_3 ),
inference(forward_subsumption_resolution,[],[f231,f106]) ).
fof(f235,plain,
( $false
| ~ spl28_3 ),
inference(forward_subsumption_resolution,[],[f234,f215]) ).
fof(f236,plain,
~ spl28_3,
inference(avatar_contradiction_clause,[],[f235]) ).
fof(f237,plain,
( ! [X0,X1] :
( ~ element(X0,powerset(sK3))
| ~ finite(X0)
| in(sK6(X1),sK24(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(f242,plain,
( ! [X0,X1] :
( ~ element(X0,powerset(sK3))
| ~ finite(X0)
| in(sK6(X1),sK24(sK2,sK3,X0))
| ~ in(sK6(X1),powerset(X0))
| ~ in(sK7(X1),sK3)
| in(sK5(X1),X1) )
| ~ spl28_4 ),
inference(forward_subsumption_resolution,[],[f237,f72]) ).
fof(f243,plain,
( ! [X0,X1] :
( ~ in(sK6(X1),powerset(X0))
| ~ finite(X0)
| in(sK6(X1),sK24(sK2,sK3,X0))
| ~ element(X0,powerset(sK3))
| in(sK5(X1),X1) )
| ~ spl28_4 ),
inference(forward_subsumption_resolution,[],[f242,f71]) ).
fof(f284,plain,
! [X0] :
( sP1(sK2,sK3)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| sK5(sK24(sK2,sK3,X0)) = sK26(sK2,sK3,sK5(sK24(sK2,sK3,X0)))
| ~ finite(X0)
| ~ element(X0,powerset(sK3))
| sK5(sK24(sK2,sK3,X0)) = sK6(sK24(sK2,sK3,X0)) ),
inference(resolution,[],[f161,f66]) ).
fof(f292,plain,
( ! [X0] :
( empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| sK5(sK24(sK2,sK3,X0)) = sK26(sK2,sK3,sK5(sK24(sK2,sK3,X0)))
| ~ finite(X0)
| ~ element(X0,powerset(sK3))
| sK5(sK24(sK2,sK3,X0)) = sK6(sK24(sK2,sK3,X0)) )
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f284,f214]) ).
fof(f293,plain,
( ! [X0] :
( ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| sK5(sK24(sK2,sK3,X0)) = sK26(sK2,sK3,sK5(sK24(sK2,sK3,X0)))
| ~ finite(X0)
| ~ element(X0,powerset(sK3))
| sK5(sK24(sK2,sK3,X0)) = sK6(sK24(sK2,sK3,X0)) )
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f292,f69]) ).
fof(f294,plain,
( ! [X0] :
( ~ rel_str(sK2)
| sK5(sK24(sK2,sK3,X0)) = sK26(sK2,sK3,sK5(sK24(sK2,sK3,X0)))
| ~ finite(X0)
| ~ element(X0,powerset(sK3))
| sK5(sK24(sK2,sK3,X0)) = sK6(sK24(sK2,sK3,X0)) )
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f293,f68]) ).
fof(f295,plain,
( ! [X0] :
( ~ element(X0,powerset(sK3))
| ~ finite(X0)
| sK5(sK24(sK2,sK3,X0)) = sK26(sK2,sK3,sK5(sK24(sK2,sK3,X0)))
| sK5(sK24(sK2,sK3,X0)) = sK6(sK24(sK2,sK3,X0)) )
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f294,f67]) ).
fof(f296,plain,
( ~ finite(sK4)
| sK5(sK24(sK2,sK3,sK4)) = sK26(sK2,sK3,sK5(sK24(sK2,sK3,sK4)))
| sK5(sK24(sK2,sK3,sK4)) = sK6(sK24(sK2,sK3,sK4))
| spl28_3 ),
inference(resolution,[],[f295,f64]) ).
fof(f321,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK26(sK2,sK3,sK5(sK24(sK2,sK3,sK4)))
| sK5(sK24(sK2,sK3,sK4)) = sK6(sK24(sK2,sK3,sK4))
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f296,f65]) ).
fof(f350,definition,
( spl28_15
<=> sK5(sK24(sK2,sK3,sK4)) = sK6(sK24(sK2,sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl28_15])],[avatar_definition]) ).
fof(f352,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK6(sK24(sK2,sK3,sK4))
| ~ spl28_15 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f354,definition,
( spl28_16
<=> sK5(sK24(sK2,sK3,sK4)) = sK26(sK2,sK3,sK5(sK24(sK2,sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl28_16])],[avatar_definition]) ).
fof(f356,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK26(sK2,sK3,sK5(sK24(sK2,sK3,sK4)))
| ~ spl28_16 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f357,plain,
( spl28_15
| spl28_16
| spl28_3 ),
inference(avatar_split_clause,[],[f321,f213,f354,f350]) ).
fof(f365,plain,
! [X0] :
( sP1(sK2,sK3)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| sK5(sK24(sK2,sK3,X0)) = sK25(sK2,sK3,X0,sK5(sK24(sK2,sK3,X0)))
| ~ finite(X0)
| ~ element(X0,powerset(sK3))
| sK5(sK24(sK2,sK3,X0)) = sK6(sK24(sK2,sK3,X0)) ),
inference(resolution,[],[f179,f66]) ).
fof(f373,plain,
( ! [X0] :
( empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| sK5(sK24(sK2,sK3,X0)) = sK25(sK2,sK3,X0,sK5(sK24(sK2,sK3,X0)))
| ~ finite(X0)
| ~ element(X0,powerset(sK3))
| sK5(sK24(sK2,sK3,X0)) = sK6(sK24(sK2,sK3,X0)) )
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f365,f214]) ).
fof(f374,plain,
( ! [X0] :
( ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| sK5(sK24(sK2,sK3,X0)) = sK25(sK2,sK3,X0,sK5(sK24(sK2,sK3,X0)))
| ~ finite(X0)
| ~ element(X0,powerset(sK3))
| sK5(sK24(sK2,sK3,X0)) = sK6(sK24(sK2,sK3,X0)) )
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f373,f69]) ).
fof(f375,plain,
( ! [X0] :
( ~ rel_str(sK2)
| sK5(sK24(sK2,sK3,X0)) = sK25(sK2,sK3,X0,sK5(sK24(sK2,sK3,X0)))
| ~ finite(X0)
| ~ element(X0,powerset(sK3))
| sK5(sK24(sK2,sK3,X0)) = sK6(sK24(sK2,sK3,X0)) )
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f374,f68]) ).
fof(f376,plain,
( ! [X0] :
( ~ element(X0,powerset(sK3))
| ~ finite(X0)
| sK5(sK24(sK2,sK3,X0)) = sK25(sK2,sK3,X0,sK5(sK24(sK2,sK3,X0)))
| sK5(sK24(sK2,sK3,X0)) = sK6(sK24(sK2,sK3,X0)) )
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f375,f67]) ).
fof(f388,definition,
( spl28_17
<=> in(sK5(sK24(sK2,sK3,sK4)),sK24(sK2,sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl28_17])],[avatar_definition]) ).
fof(f389,plain,
( ~ in(sK5(sK24(sK2,sK3,sK4)),sK24(sK2,sK3,sK4))
| spl28_17 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f390,plain,
( in(sK5(sK24(sK2,sK3,sK4)),sK24(sK2,sK3,sK4))
| ~ spl28_17 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f397,definition,
( spl28_19
<=> ! [X0] :
( ~ in(sK5(sK24(sK2,sK3,sK4)),powerset(X0))
| ~ element(X0,powerset(sK3))
| in(sK5(sK24(sK2,sK3,sK4)),sK24(sK2,sK3,X0))
| ~ finite(X0) ) ),
introduced(definition,[new_symbols(definition,[spl28_19])],[avatar_definition]) ).
fof(f398,plain,
( ! [X0] :
( in(sK5(sK24(sK2,sK3,sK4)),sK24(sK2,sK3,X0))
| ~ element(X0,powerset(sK3))
| ~ in(sK5(sK24(sK2,sK3,sK4)),powerset(X0))
| ~ finite(X0) )
| ~ spl28_19 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f572,definition,
( spl28_30
<=> relstr_set_smaller(sK2,sK5(sK24(sK2,sK3,sK4)),sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4)))) ),
introduced(definition,[new_symbols(definition,[spl28_30])],[avatar_definition]) ).
fof(f574,plain,
( relstr_set_smaller(sK2,sK5(sK24(sK2,sK3,sK4)),sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4))))
| ~ spl28_30 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f577,definition,
( spl28_31
<=> in(sK5(sK24(sK2,sK3,sK4)),powerset(sK4)) ),
introduced(definition,[new_symbols(definition,[spl28_31])],[avatar_definition]) ).
fof(f578,plain,
( ~ in(sK5(sK24(sK2,sK3,sK4)),powerset(sK4))
| spl28_31 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f579,plain,
( in(sK5(sK24(sK2,sK3,sK4)),powerset(sK4))
| ~ spl28_31 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f601,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK26(sK2,sK3,sK5(sK24(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,[],[f390,f115]) ).
fof(f602,plain,
( in(sK27(sK2,sK3,sK5(sK24(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,[],[f390,f113]) ).
fof(f604,plain,
( in(sK27(sK2,sK3,sK5(sK24(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,[],[f602,f214]) ).
fof(f605,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK26(sK2,sK3,sK5(sK24(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,[],[f601,f214]) ).
fof(f609,plain,
( in(sK27(sK2,sK3,sK5(sK24(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,[],[f604,f69]) ).
fof(f610,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK26(sK2,sK3,sK5(sK24(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,[],[f605,f69]) ).
fof(f614,plain,
( in(sK27(sK2,sK3,sK5(sK24(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,[],[f609,f68]) ).
fof(f615,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK26(sK2,sK3,sK5(sK24(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,[],[f610,f68]) ).
fof(f619,plain,
( in(sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),sK3)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f614,f67]) ).
fof(f620,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK26(sK2,sK3,sK5(sK24(sK2,sK3,sK4)))
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f615,f67]) ).
fof(f624,plain,
( in(sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),sK3)
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f619,f66]) ).
fof(f625,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK26(sK2,sK3,sK5(sK24(sK2,sK3,sK4)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f620,f66]) ).
fof(f629,plain,
( in(sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),sK3)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f624,f65]) ).
fof(f630,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK26(sK2,sK3,sK5(sK24(sK2,sK3,sK4)))
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f625,f65]) ).
fof(f634,plain,
( in(sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),sK3)
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f629,f64]) ).
fof(f635,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK26(sK2,sK3,sK5(sK24(sK2,sK3,sK4)))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f630,f64]) ).
fof(f639,plain,
( spl28_16
| spl28_3
| ~ spl28_17 ),
inference(avatar_split_clause,[],[f635,f388,f213,f354]) ).
fof(f650,plain,
( in(sK5(sK24(sK2,sK3,sK4)),powerset(sK4))
| spl28_17 ),
inference(resolution,[],[f389,f74]) ).
fof(f651,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK6(sK24(sK2,sK3,sK4))
| spl28_17 ),
inference(resolution,[],[f389,f73]) ).
fof(f656,plain,
( spl28_15
| spl28_17 ),
inference(avatar_split_clause,[],[f651,f388,f350]) ).
fof(f657,plain,
( spl28_31
| spl28_17 ),
inference(avatar_split_clause,[],[f650,f388,f577]) ).
fof(f669,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK25(sK2,sK3,sK4,sK5(sK24(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,[],[f390,f116]) ).
fof(f670,plain,
( element(sK27(sK2,sK3,sK5(sK24(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,[],[f390,f114]) ).
fof(f676,plain,
( element(sK27(sK2,sK3,sK5(sK24(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,[],[f670,f214]) ).
fof(f677,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK25(sK2,sK3,sK4,sK5(sK24(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,[],[f669,f214]) ).
fof(f681,plain,
( element(sK27(sK2,sK3,sK5(sK24(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,[],[f676,f69]) ).
fof(f682,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK25(sK2,sK3,sK4,sK5(sK24(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,[],[f677,f69]) ).
fof(f686,plain,
( element(sK27(sK2,sK3,sK5(sK24(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,[],[f681,f68]) ).
fof(f687,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK25(sK2,sK3,sK4,sK5(sK24(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,[],[f682,f68]) ).
fof(f691,plain,
( element(sK27(sK2,sK3,sK5(sK24(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,[],[f686,f67]) ).
fof(f692,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK25(sK2,sK3,sK4,sK5(sK24(sK2,sK3,sK4)))
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f687,f67]) ).
fof(f696,plain,
( element(sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),the_carrier(sK2))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f691,f66]) ).
fof(f697,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK25(sK2,sK3,sK4,sK5(sK24(sK2,sK3,sK4)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f692,f66]) ).
fof(f701,plain,
( element(sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),the_carrier(sK2))
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f696,f65]) ).
fof(f702,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK25(sK2,sK3,sK4,sK5(sK24(sK2,sK3,sK4)))
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f697,f65]) ).
fof(f706,plain,
( element(sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),the_carrier(sK2))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f701,f64]) ).
fof(f707,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK25(sK2,sK3,sK4,sK5(sK24(sK2,sK3,sK4)))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f702,f64]) ).
fof(f750,plain,
( ~ finite(sK4)
| sK5(sK24(sK2,sK3,sK4)) = sK25(sK2,sK3,sK4,sK5(sK24(sK2,sK3,sK4)))
| sK5(sK24(sK2,sK3,sK4)) = sK6(sK24(sK2,sK3,sK4))
| spl28_3 ),
inference(resolution,[],[f376,f64]) ).
fof(f755,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK25(sK2,sK3,sK4,sK5(sK24(sK2,sK3,sK4)))
| sK5(sK24(sK2,sK3,sK4)) = sK6(sK24(sK2,sK3,sK4))
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f750,f65]) ).
fof(f757,definition,
( spl28_33
<=> sK5(sK24(sK2,sK3,sK4)) = sK25(sK2,sK3,sK4,sK5(sK24(sK2,sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl28_33])],[avatar_definition]) ).
fof(f759,plain,
( sK5(sK24(sK2,sK3,sK4)) = sK25(sK2,sK3,sK4,sK5(sK24(sK2,sK3,sK4)))
| ~ spl28_33 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f760,plain,
( spl28_15
| spl28_33
| spl28_3 ),
inference(avatar_split_clause,[],[f755,f213,f757,f350]) ).
fof(f761,plain,
( ! [X0] :
( ~ in(sK5(sK24(sK2,sK3,sK4)),powerset(X0))
| ~ finite(X0)
| in(sK5(sK24(sK2,sK3,sK4)),sK24(sK2,sK3,X0))
| ~ element(X0,powerset(sK3))
| in(sK5(sK24(sK2,sK3,sK4)),sK24(sK2,sK3,sK4)) )
| ~ spl28_4
| ~ spl28_15 ),
inference(superposition,[],[f243,f352]) ).
fof(f954,plain,
( ~ element(sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),the_carrier(sK2))
| ~ in(sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),sK3)
| ~ in(sK5(sK24(sK2,sK3,sK4)),powerset(sK4))
| ~ in(sK5(sK24(sK2,sK3,sK4)),sK24(sK2,sK3,sK4))
| ~ spl28_30 ),
inference(resolution,[],[f574,f119]) ).
fof(f957,plain,
( ~ in(sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),sK3)
| ~ in(sK5(sK24(sK2,sK3,sK4)),powerset(sK4))
| ~ in(sK5(sK24(sK2,sK3,sK4)),sK24(sK2,sK3,sK4))
| spl28_3
| ~ spl28_17
| ~ spl28_30 ),
inference(forward_subsumption_resolution,[],[f954,f706]) ).
fof(f959,plain,
( ~ in(sK5(sK24(sK2,sK3,sK4)),powerset(sK4))
| ~ in(sK5(sK24(sK2,sK3,sK4)),sK24(sK2,sK3,sK4))
| spl28_3
| ~ spl28_17
| ~ spl28_30 ),
inference(forward_subsumption_resolution,[],[f957,f634]) ).
fof(f961,plain,
( ~ in(sK5(sK24(sK2,sK3,sK4)),sK24(sK2,sK3,sK4))
| spl28_3
| ~ spl28_17
| ~ spl28_30
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f959,f579]) ).
fof(f962,plain,
( $false
| spl28_3
| ~ spl28_17
| ~ spl28_30
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f961,f390]) ).
fof(f963,plain,
( spl28_3
| ~ spl28_17
| ~ spl28_30
| ~ spl28_31 ),
inference(avatar_contradiction_clause,[],[f962]) ).
fof(f1038,plain,
( spl28_33
| spl28_3
| ~ spl28_17 ),
inference(avatar_split_clause,[],[f707,f388,f213,f757]) ).
fof(f1040,plain,
( spl28_17
| spl28_19
| ~ spl28_4
| ~ spl28_15 ),
inference(avatar_split_clause,[],[f761,f350,f217,f397,f388]) ).
fof(f1129,plain,
( ~ element(sK4,powerset(sK3))
| ~ in(sK5(sK24(sK2,sK3,sK4)),powerset(sK4))
| ~ finite(sK4)
| spl28_17
| ~ spl28_19 ),
inference(resolution,[],[f398,f389]) ).
fof(f1145,plain,
( ~ in(sK5(sK24(sK2,sK3,sK4)),powerset(sK4))
| ~ finite(sK4)
| spl28_17
| ~ spl28_19 ),
inference(forward_subsumption_resolution,[],[f1129,f64]) ).
fof(f1150,plain,
( ~ finite(sK4)
| spl28_17
| ~ spl28_19
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f1145,f579]) ).
fof(f1155,plain,
( $false
| spl28_17
| ~ spl28_19
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f1150,f65]) ).
fof(f1156,plain,
( spl28_17
| ~ spl28_19
| ~ spl28_31 ),
inference(avatar_contradiction_clause,[],[f1155]) ).
fof(f1182,plain,
( relstr_set_smaller(sK2,sK26(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),sK27(sK2,sK3,sK5(sK24(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,[],[f390,f112]) ).
fof(f1191,plain,
( relstr_set_smaller(sK2,sK26(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),sK27(sK2,sK3,sK5(sK24(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,[],[f1182,f214]) ).
fof(f1195,plain,
( relstr_set_smaller(sK2,sK26(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),sK27(sK2,sK3,sK5(sK24(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,[],[f1191,f69]) ).
fof(f1199,plain,
( relstr_set_smaller(sK2,sK26(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),sK27(sK2,sK3,sK5(sK24(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,[],[f1195,f68]) ).
fof(f1203,plain,
( relstr_set_smaller(sK2,sK26(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4))))
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f1199,f67]) ).
fof(f1207,plain,
( relstr_set_smaller(sK2,sK26(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4))))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f1203,f66]) ).
fof(f1211,plain,
( relstr_set_smaller(sK2,sK26(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4))))
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f1207,f65]) ).
fof(f1215,plain,
( relstr_set_smaller(sK2,sK26(sK2,sK3,sK5(sK24(sK2,sK3,sK4))),sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4))))
| spl28_3
| ~ spl28_17 ),
inference(forward_subsumption_resolution,[],[f1211,f64]) ).
fof(f1217,plain,
( relstr_set_smaller(sK2,sK5(sK24(sK2,sK3,sK4)),sK27(sK2,sK3,sK5(sK24(sK2,sK3,sK4))))
| spl28_3
| ~ spl28_16
| ~ spl28_17 ),
inference(forward_demodulation,[],[f1215,f356]) ).
fof(f1223,plain,
( spl28_30
| spl28_3
| ~ spl28_16
| ~ spl28_17 ),
inference(avatar_split_clause,[],[f1217,f388,f354,f213,f572]) ).
fof(f1302,plain,
( in(sK5(sK24(sK2,sK3,sK4)),powerset(sK4))
| ~ in(sK5(sK24(sK2,sK3,sK4)),sK24(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_33 ),
inference(superposition,[],[f117,f759]) ).
fof(f1303,plain,
( ~ in(sK5(sK24(sK2,sK3,sK4)),sK24(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_31
| ~ spl28_33 ),
inference(forward_subsumption_resolution,[],[f1302,f578]) ).
fof(f1305,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_17
| spl28_31
| ~ spl28_33 ),
inference(forward_subsumption_resolution,[],[f1303,f390]) ).
fof(f1307,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_31
| ~ spl28_33 ),
inference(forward_subsumption_resolution,[],[f1305,f214]) ).
fof(f1309,plain,
( ~ transitive_relstr(sK2)
| ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17
| spl28_31
| ~ spl28_33 ),
inference(forward_subsumption_resolution,[],[f1307,f69]) ).
fof(f1311,plain,
( ~ rel_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17
| spl28_31
| ~ spl28_33 ),
inference(forward_subsumption_resolution,[],[f1309,f68]) ).
fof(f1313,plain,
( ~ element(sK3,powerset(the_carrier(sK2)))
| ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17
| spl28_31
| ~ spl28_33 ),
inference(forward_subsumption_resolution,[],[f1311,f67]) ).
fof(f1315,plain,
( ~ finite(sK4)
| ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17
| spl28_31
| ~ spl28_33 ),
inference(forward_subsumption_resolution,[],[f1313,f66]) ).
fof(f1317,plain,
( ~ element(sK4,powerset(sK3))
| spl28_3
| ~ spl28_17
| spl28_31
| ~ spl28_33 ),
inference(forward_subsumption_resolution,[],[f1315,f65]) ).
fof(f1319,plain,
( $false
| spl28_3
| ~ spl28_17
| spl28_31
| ~ spl28_33 ),
inference(forward_subsumption_resolution,[],[f1317,f64]) ).
fof(f1320,plain,
( spl28_3
| ~ spl28_17
| spl28_31
| ~ spl28_33 ),
inference(avatar_contradiction_clause,[],[f1319]) ).
cnf(s2,plain,
( spl28_3
| spl28_4 ),
inference(sat_conversion,[],[f219]) ).
cnf(s3,plain,
~ spl28_3,
inference(sat_conversion,[],[f236]) ).
cnf(s8,plain,
( spl28_3
| spl28_15
| spl28_16 ),
inference(sat_conversion,[],[f357]) ).
cnf(s26,plain,
( spl28_3
| spl28_16
| ~ spl28_17 ),
inference(sat_conversion,[],[f639]) ).
cnf(s29,plain,
( spl28_15
| spl28_17 ),
inference(sat_conversion,[],[f656]) ).
cnf(s30,plain,
( spl28_17
| spl28_31 ),
inference(sat_conversion,[],[f657]) ).
cnf(s32,plain,
( spl28_3
| spl28_15
| spl28_33 ),
inference(sat_conversion,[],[f760]) ).
cnf(s43,plain,
( spl28_3
| ~ spl28_17
| ~ spl28_30
| ~ spl28_31 ),
inference(sat_conversion,[],[f963]) ).
cnf(s44,plain,
( spl28_3
| ~ spl28_17
| spl28_33 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s46,plain,
( ~ spl28_4
| ~ spl28_15
| spl28_17
| spl28_19 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s48,plain,
( spl28_17
| ~ spl28_19
| ~ spl28_31 ),
inference(sat_conversion,[],[f1156]) ).
cnf(s59,plain,
( spl28_3
| ~ spl28_16
| ~ spl28_17
| spl28_30 ),
inference(sat_conversion,[],[f1223]) ).
cnf(s63,plain,
( spl28_3
| ~ spl28_17
| spl28_31
| ~ spl28_33 ),
inference(sat_conversion,[],[f1320]) ).
cnf(s64,plain,
spl28_4,
inference(rat,[],[s2,s3]) ).
cnf(s65,plain,
spl28_15,
inference(rat,[],[s43,s63,s59,s8,s29,s32,s3]) ).
cnf(s66,plain,
( ~ spl28_17
| ~ spl28_16 ),
inference(rat,[],[s43,s63,s59,s44,s3]) ).
cnf(s67,plain,
spl28_17,
inference(rat,[],[s48,s46,s30,s64,s65]) ).
cnf(s71,plain,
spl28_16,
inference(rat,[],[s26,s3,s67]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s66,s71,s67]) ).
fof(f1321,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU364+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n001.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 05:00:33 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 0.16/0.53 % (32140)Will run a generic schedule for satisfiability detection.
% 0.16/0.53 % (32149)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=288342676:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.53 % (32146)% WARNING: option uhcvi not known.
% 0.16/0.53 % (32145)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1075375833_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.53 % (32150)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4125164740:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.53 % (32146)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=197536738:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.53 % (32147)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=885713041:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.53 % (32148)dis+10_1_sil=32000:sp=arity:random_seed=4220403702:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.53 % (32151)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1554203004:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.53 % TRYING [1]
% 0.16/0.53 % TRYING [2]
% 0.16/0.53 % TRYING [3]
% 0.16/0.53 % (32149)Instruction limit reached!
% 0.16/0.53 % (32149)------------------------------
% 0.16/0.53 % (32149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.53 % (32149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.53 % (32149)CaDiCaL version: 2.1.3
% 0.16/0.53 % (32149)Termination reason: Instruction limit
% 0.16/0.53 % (32149)Termination phase: Saturation
% 0.16/0.53 % (32149)Time elapsed: 0.033 s
% 0.16/0.53 % (32149)Peak memory usage: 12 MB
% 0.16/0.53 % (32149)Instructions burned: 118 (million)
% 0.16/0.53 % TRYING [4]
% 0.16/0.53 % (32159)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=975327314:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.53 % TRYING [1]
% 0.16/0.53 % TRYING [2]
% 0.16/0.53 % TRYING [3]
% 0.16/0.53 % (32148) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-32140-32148"...
% 0.16/0.53 % (32148)...printing done.
% 0.16/0.53 % (32150) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-32140-32150"...
% 0.16/0.53 % (32148)Refutation found. Thanks to Tanya!
% 0.16/0.53 % SZS status Theorem for theBenchmark
% 0.16/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.53 % (32148)------------------------------
% 0.16/0.53 % (32148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.53 % (32148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.53 % (32148)CaDiCaL version: 2.1.3
% 0.16/0.53 % (32148)Termination reason: Refutation
% 0.16/0.53 % (32148)Time elapsed: 0.048 s
% 0.16/0.53 % (32148)Peak memory usage: 13 MB
% 0.16/0.53 % (32148)Instructions burned: 79 (million)
% 0.16/0.53 % (32140)Success in time 0.089 s
% 0.16/0.53 % Vampire exiting
%------------------------------------------------------------------------------