%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU359+2 : 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 : n003.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 12:48:31 PM UTC 2026
% Result : Theorem 4.43s 1.53s
% Output : Refutation 5.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 135 ( 11 unt; 7 def)
% Number of atoms : 706 ( 46 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 923 ( 352 ~; 352 |; 151 &)
% ( 17 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 6 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 226 ( 0 sgn 187 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f144,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( element(X2,the_carrier(X0))
& relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) )
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( relstr_set_smaller(X0,X1,X3)
& ! [X4] :
( element(X4,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X4)
=> related(X0,X3,X4) ) ) )
=> X3 = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_yellow_0) ).
fof(f159,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( ex_sup_of_relstr_set(X0,X1)
=> ( X2 = join_on_relstr(X0,X1)
<=> ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_yellow_0) ).
fof(f183,axiom,
! [X0,X1] :
( rel_str(X0)
=> element(join_on_relstr(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(f505,axiom,
! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( element(X2,the_carrier(X0))
& relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow_0) ).
fof(f547,axiom,
! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( related(X0,X1,X2)
& related(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_orders_2) ).
fof(f571,conjecture,
! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( X1 = join_on_relstr(X0,X2)
& ex_sup_of_relstr_set(X0,X2) )
=> ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) ) ) )
& ( ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) ) )
=> ( X1 = join_on_relstr(X0,X2)
& ex_sup_of_relstr_set(X0,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_yellow_0) ).
fof(f572,negated_conjecture,
~ ! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( X1 = join_on_relstr(X0,X2)
& ex_sup_of_relstr_set(X0,X2) )
=> ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) ) ) )
& ( ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) ) )
=> ( X1 = join_on_relstr(X0,X2)
& ex_sup_of_relstr_set(X0,X2) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f571]) ).
fof(f684,plain,
~ ! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( X1 = join_on_relstr(X0,X2)
& ex_sup_of_relstr_set(X0,X2) )
=> ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) ) ) )
& ( ( relstr_set_smaller(X0,X2,X1)
& ! [X4] :
( element(X4,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X4)
=> related(X0,X1,X4) ) ) )
=> ( X1 = join_on_relstr(X0,X2)
& ex_sup_of_relstr_set(X0,X2) ) ) ) ) ),
inference(rectify,[],[f572]) ).
fof(f685,plain,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( element(X2,the_carrier(X0))
& relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) )
& ! [X4] :
( element(X4,the_carrier(X0))
=> ( ( relstr_set_smaller(X0,X1,X4)
& ! [X5] :
( element(X5,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X5)
=> related(X0,X4,X5) ) ) )
=> X2 = X4 ) ) ) ) ),
inference(rectify,[],[f144]) ).
fof(f691,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ( ~ relstr_set_smaller(X0,X2,X1)
| ? [X3] :
( ~ related(X0,X1,X3)
& relstr_set_smaller(X0,X2,X3)
& element(X3,the_carrier(X0)) ) )
& X1 = join_on_relstr(X0,X2)
& ex_sup_of_relstr_set(X0,X2) )
| ( ( join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) )
& relstr_set_smaller(X0,X2,X1)
& ! [X4] :
( related(X0,X1,X4)
| ~ relstr_set_smaller(X0,X2,X4)
| ~ element(X4,the_carrier(X0)) ) ) )
& element(X1,the_carrier(X0)) )
& antisymmetric_relstr(X0)
& rel_str(X0) ),
inference(ennf_transformation,[],[f684]) ).
fof(f692,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ( ~ relstr_set_smaller(X0,X2,X1)
| ? [X3] :
( ~ related(X0,X1,X3)
& relstr_set_smaller(X0,X2,X3)
& element(X3,the_carrier(X0)) ) )
& X1 = join_on_relstr(X0,X2)
& ex_sup_of_relstr_set(X0,X2) )
| ( ( join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) )
& relstr_set_smaller(X0,X2,X1)
& ! [X4] :
( related(X0,X1,X4)
| ~ relstr_set_smaller(X0,X2,X4)
| ~ element(X4,the_carrier(X0)) ) ) )
& element(X1,the_carrier(X0)) )
& antisymmetric_relstr(X0)
& rel_str(X0) ),
inference(flattening,[],[f691]) ).
fof(f693,plain,
! [X0,X1] :
( element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f183]) ).
fof(f694,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = join_on_relstr(X0,X1)
<=> ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f159]) ).
fof(f695,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = join_on_relstr(X0,X1)
<=> ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f694]) ).
fof(f696,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ related(X0,X1,X2)
| ~ related(X0,X2,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f547]) ).
fof(f697,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ related(X0,X1,X2)
| ~ related(X0,X2,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f696]) ).
fof(f698,plain,
! [X0] :
( ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( element(X2,the_carrier(X0))
& relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f505]) ).
fof(f699,plain,
! [X0] :
( ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( element(X2,the_carrier(X0))
& relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f698]) ).
fof(f700,plain,
! [X0] :
( ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( element(X2,the_carrier(X0))
& relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& ! [X4] :
( X2 = X4
| ~ relstr_set_smaller(X0,X1,X4)
| ? [X5] :
( ~ related(X0,X4,X5)
& relstr_set_smaller(X0,X1,X5)
& element(X5,the_carrier(X0)) )
| ~ element(X4,the_carrier(X0)) ) ) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f685]) ).
fof(f701,plain,
! [X0] :
( ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( element(X2,the_carrier(X0))
& relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& ! [X4] :
( X2 = X4
| ~ relstr_set_smaller(X0,X1,X4)
| ? [X5] :
( ~ related(X0,X4,X5)
& relstr_set_smaller(X0,X1,X5)
& element(X5,the_carrier(X0)) )
| ~ element(X4,the_carrier(X0)) ) ) )
| ~ rel_str(X0) ),
inference(flattening,[],[f700]) ).
fof(f705,definition,
! [X1,X2,X0] :
( ( ( ~ relstr_set_smaller(X0,X2,X1)
| ? [X3] :
( ~ related(X0,X1,X3)
& relstr_set_smaller(X0,X2,X3)
& element(X3,the_carrier(X0)) ) )
& X1 = join_on_relstr(X0,X2)
& ex_sup_of_relstr_set(X0,X2) )
| ~ sP0(X1,X2,X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f706,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( sP0(X1,X2,X0)
| ( ( join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) )
& relstr_set_smaller(X0,X2,X1)
& ! [X4] :
( related(X0,X1,X4)
| ~ relstr_set_smaller(X0,X2,X4)
| ~ element(X4,the_carrier(X0)) ) ) )
& element(X1,the_carrier(X0)) )
& antisymmetric_relstr(X0)
& rel_str(X0) ),
inference(definition_folding,[],[f692,f705]) ).
fof(f707,definition,
! [X2,X1,X0] :
( sP1(X2,X1,X0)
<=> ! [X4] :
( X2 = X4
| ~ relstr_set_smaller(X0,X1,X4)
| ? [X5] :
( ~ related(X0,X4,X5)
& relstr_set_smaller(X0,X1,X5)
& element(X5,the_carrier(X0)) )
| ~ element(X4,the_carrier(X0)) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f708,plain,
! [X0] :
( ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( element(X2,the_carrier(X0))
& relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& sP1(X2,X1,X0) ) )
| ~ rel_str(X0) ),
inference(definition_folding,[],[f701,f707]) ).
fof(f709,plain,
! [X1,X2,X0] :
( ( ( ~ relstr_set_smaller(X0,X2,X1)
| ? [X3] :
( ~ related(X0,X1,X3)
& relstr_set_smaller(X0,X2,X3)
& element(X3,the_carrier(X0)) ) )
& X1 = join_on_relstr(X0,X2)
& ex_sup_of_relstr_set(X0,X2) )
| ~ sP0(X1,X2,X0) ),
inference(nnf_transformation,[],[f705]) ).
fof(f710,plain,
! [X0,X1,X2] :
( ( ( ~ relstr_set_smaller(X2,X1,X0)
| ? [X3] :
( ~ related(X2,X0,X3)
& relstr_set_smaller(X2,X1,X3)
& element(X3,the_carrier(X2)) ) )
& join_on_relstr(X2,X1) = X0
& ex_sup_of_relstr_set(X2,X1) )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f709]) ).
fof(f711,plain,
! [X0,X1,X2] :
( ( ( ~ relstr_set_smaller(X2,X1,X0)
| ( ~ related(X2,X0,sK2(X0,X1,X2))
& relstr_set_smaller(X2,X1,sK2(X0,X1,X2))
& element(sK2(X0,X1,X2),the_carrier(X2)) ) )
& join_on_relstr(X2,X1) = X0
& ex_sup_of_relstr_set(X2,X1) )
| ~ sP0(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f710]) ).
fof(f712,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( sP0(X1,X2,X0)
| ( ( join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) )
& relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( related(X0,X1,X3)
| ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) ) ) )
& element(X1,the_carrier(X0)) )
& antisymmetric_relstr(X0)
& rel_str(X0) ),
inference(rectify,[],[f706]) ).
fof(f713,plain,
( ( sP0(sK4,sK5,sK3)
| ( ( sK4 != join_on_relstr(sK3,sK5)
| ~ ex_sup_of_relstr_set(sK3,sK5) )
& relstr_set_smaller(sK3,sK5,sK4)
& ! [X3] :
( related(sK3,sK4,X3)
| ~ relstr_set_smaller(sK3,sK5,X3)
| ~ element(X3,the_carrier(sK3)) ) ) )
& element(sK4,the_carrier(sK3))
& antisymmetric_relstr(sK3)
& rel_str(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f712]) ).
fof(f716,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = join_on_relstr(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) ) )
& ( ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f695]) ).
fof(f717,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = join_on_relstr(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) ) )
& ( ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f716]) ).
fof(f718,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = join_on_relstr(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) ) )
& ( ( relstr_set_smaller(X0,X1,X2)
& ! [X4] :
( related(X0,X2,X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0)) ) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(rectify,[],[f717]) ).
fof(f719,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = join_on_relstr(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| ( ~ related(X0,X2,sK8(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK8(X0,X1,X2))
& element(sK8(X0,X1,X2),the_carrier(X0)) ) )
& ( ( relstr_set_smaller(X0,X1,X2)
& ! [X4] :
( related(X0,X2,X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0)) ) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1,X2))],[f718]) ).
fof(f720,plain,
! [X0] :
( ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) ) ) )
& ( ? [X2] :
( element(X2,the_carrier(X0))
& relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f699]) ).
fof(f721,plain,
! [X0] :
( ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) ) ) )
& ( ? [X4] :
( element(X4,the_carrier(X0))
& relstr_set_smaller(X0,X1,X4)
& ! [X5] :
( related(X0,X4,X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) ) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(rectify,[],[f720]) ).
fof(f722,plain,
! [X0] :
( ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ( ~ related(X0,X2,sK9(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK9(X0,X1,X2))
& element(sK9(X0,X1,X2),the_carrier(X0)) ) ) )
& ( ( element(sK10(X0,X1),the_carrier(X0))
& relstr_set_smaller(X0,X1,sK10(X0,X1))
& ! [X5] :
( related(X0,sK10(X0,X1),X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) ) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X3,sK9(X0,X1,X2)),skolemize(X4,sK10(X0,X1))],[f721]) ).
fof(f726,plain,
! [X0] :
( ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ sP1(X2,X1,X0) ) )
& ( ? [X2] :
( element(X2,the_carrier(X0))
& relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& sP1(X2,X1,X0) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f708]) ).
fof(f727,plain,
! [X0] :
( ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ sP1(X2,X1,X0) ) )
& ( ? [X4] :
( element(X4,the_carrier(X0))
& relstr_set_smaller(X0,X1,X4)
& ! [X5] :
( related(X0,X4,X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& sP1(X4,X1,X0) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0) ),
inference(rectify,[],[f726]) ).
fof(f728,plain,
! [X0] :
( ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ( ~ related(X0,X2,sK13(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK13(X0,X1,X2))
& element(sK13(X0,X1,X2),the_carrier(X0)) )
| ~ sP1(X2,X1,X0) ) )
& ( ( element(sK14(X0,X1),the_carrier(X0))
& relstr_set_smaller(X0,X1,sK14(X0,X1))
& ! [X5] :
( related(X0,sK14(X0,X1),X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& sP1(sK14(X0,X1),X1,X0) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X3,sK13(X0,X1,X2)),skolemize(X4,sK14(X0,X1))],[f727]) ).
fof(f732,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| ex_sup_of_relstr_set(X2,X1) ),
inference(cnf_transformation,[],[f711]) ).
fof(f733,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| join_on_relstr(X2,X1) = X0 ),
inference(cnf_transformation,[],[f711]) ).
fof(f734,plain,
! [X2,X0,X1] :
( element(sK2(X0,X1,X2),the_carrier(X2))
| ~ relstr_set_smaller(X2,X1,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f711]) ).
fof(f735,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X2,X1,sK2(X0,X1,X2))
| ~ relstr_set_smaller(X2,X1,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f711]) ).
fof(f736,plain,
! [X2,X0,X1] :
( ~ related(X2,X0,sK2(X0,X1,X2))
| ~ relstr_set_smaller(X2,X1,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f711]) ).
fof(f737,plain,
rel_str(sK3),
inference(cnf_transformation,[],[f713]) ).
fof(f738,plain,
antisymmetric_relstr(sK3),
inference(cnf_transformation,[],[f713]) ).
fof(f739,plain,
element(sK4,the_carrier(sK3)),
inference(cnf_transformation,[],[f713]) ).
fof(f740,plain,
! [X3] :
( sP0(sK4,sK5,sK3)
| related(sK3,sK4,X3)
| ~ relstr_set_smaller(sK3,sK5,X3)
| ~ element(X3,the_carrier(sK3)) ),
inference(cnf_transformation,[],[f713]) ).
fof(f741,plain,
( sP0(sK4,sK5,sK3)
| relstr_set_smaller(sK3,sK5,sK4) ),
inference(cnf_transformation,[],[f713]) ).
fof(f742,plain,
( sP0(sK4,sK5,sK3)
| sK4 != join_on_relstr(sK3,sK5)
| ~ ex_sup_of_relstr_set(sK3,sK5) ),
inference(cnf_transformation,[],[f713]) ).
fof(f745,plain,
! [X0,X1] :
( element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f693]) ).
fof(f746,plain,
! [X2,X0,X1,X4] :
( related(X0,X2,X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0))
| join_on_relstr(X0,X1) != X2
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f719]) ).
fof(f747,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X0,X1,X2)
| join_on_relstr(X0,X1) != X2
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f719]) ).
fof(f751,plain,
! [X2,X0,X1] :
( ~ related(X0,X2,X1)
| ~ related(X0,X1,X2)
| X1 = X2
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f697]) ).
fof(f755,plain,
! [X2,X0,X1] :
( element(sK9(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ex_sup_of_relstr_set(X0,X1)
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f722]) ).
fof(f756,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X0,X1,sK9(X0,X1,X2))
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ex_sup_of_relstr_set(X0,X1)
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f722]) ).
fof(f757,plain,
! [X2,X0,X1] :
( ~ related(X0,X2,sK9(X0,X1,X2))
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ex_sup_of_relstr_set(X0,X1)
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f722]) ).
fof(f766,plain,
! [X0,X1,X5] :
( related(X0,sK14(X0,X1),X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f728]) ).
fof(f767,plain,
! [X0,X1] :
( relstr_set_smaller(X0,X1,sK14(X0,X1))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f728]) ).
fof(f768,plain,
! [X0,X1] :
( element(sK14(X0,X1),the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f728]) ).
fof(f777,plain,
! [X0,X1] :
( ~ element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| relstr_set_smaller(X0,X1,join_on_relstr(X0,X1))
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f747]) ).
fof(f778,plain,
! [X0,X1,X4] :
( ~ element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| related(X0,join_on_relstr(X0,X1),X4)
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f746]) ).
fof(f780,definition,
( spl16_1
<=> ! [X3] :
( related(sK3,sK4,X3)
| ~ element(X3,the_carrier(sK3))
| ~ relstr_set_smaller(sK3,sK5,X3) ) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f781,plain,
( ! [X3] :
( ~ relstr_set_smaller(sK3,sK5,X3)
| ~ element(X3,the_carrier(sK3))
| related(sK3,sK4,X3) )
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f783,definition,
( spl16_2
<=> sP0(sK4,sK5,sK3) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f785,plain,
( sP0(sK4,sK5,sK3)
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f786,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f740,f783,f780]) ).
fof(f788,definition,
( spl16_3
<=> relstr_set_smaller(sK3,sK5,sK4) ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
fof(f789,plain,
( ~ relstr_set_smaller(sK3,sK5,sK4)
| spl16_3 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f790,plain,
( relstr_set_smaller(sK3,sK5,sK4)
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f791,plain,
( spl16_3
| spl16_2 ),
inference(avatar_split_clause,[],[f741,f783,f788]) ).
fof(f793,definition,
( spl16_4
<=> ex_sup_of_relstr_set(sK3,sK5) ),
introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).
fof(f794,plain,
( ex_sup_of_relstr_set(sK3,sK5)
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f795,plain,
( ~ ex_sup_of_relstr_set(sK3,sK5)
| spl16_4 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f797,definition,
( spl16_5
<=> sK4 = join_on_relstr(sK3,sK5) ),
introduced(definition,[new_symbols(definition,[spl16_5])],[avatar_definition]) ).
fof(f798,plain,
( sK4 = join_on_relstr(sK3,sK5)
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f799,plain,
( sK4 != join_on_relstr(sK3,sK5)
| spl16_5 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f800,plain,
( ~ spl16_4
| ~ spl16_5
| spl16_2 ),
inference(avatar_split_clause,[],[f742,f783,f797,f793]) ).
fof(f801,plain,
( ex_sup_of_relstr_set(sK3,sK5)
| ~ spl16_2 ),
inference(unit_resulting_resolution,[],[f732,f785]) ).
fof(f802,plain,
( spl16_4
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f801,f783,f793]) ).
fof(f803,plain,
! [X0] : element(join_on_relstr(sK3,X0),the_carrier(sK3)),
inference(unit_resulting_resolution,[],[f745,f737]) ).
fof(f805,plain,
( sK4 = join_on_relstr(sK3,sK5)
| ~ spl16_2 ),
inference(unit_resulting_resolution,[],[f733,f785]) ).
fof(f806,plain,
( spl16_5
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f805,f783,f797]) ).
fof(f814,plain,
( relstr_set_smaller(sK3,sK5,sK14(sK3,sK5))
| ~ spl16_4 ),
inference(unit_resulting_resolution,[],[f767,f737,f794]) ).
fof(f815,plain,
( element(sK14(sK3,sK5),the_carrier(sK3))
| ~ spl16_4 ),
inference(unit_resulting_resolution,[],[f768,f737,f794]) ).
fof(f816,plain,
( related(sK3,sK4,sK14(sK3,sK5))
| ~ spl16_1
| ~ spl16_4 ),
inference(unit_resulting_resolution,[],[f781,f814,f815]) ).
fof(f823,plain,
( relstr_set_smaller(sK3,sK5,join_on_relstr(sK3,sK5))
| ~ spl16_4 ),
inference(unit_resulting_resolution,[],[f777,f737,f794,f803]) ).
fof(f824,plain,
( related(sK3,sK4,join_on_relstr(sK3,sK5))
| ~ spl16_1
| ~ spl16_4 ),
inference(unit_resulting_resolution,[],[f781,f803,f823]) ).
fof(f826,plain,
( related(sK3,sK14(sK3,sK5),sK4)
| ~ spl16_3
| ~ spl16_4 ),
inference(unit_resulting_resolution,[],[f766,f737,f794,f790,f739]) ).
fof(f833,plain,
( ~ related(sK3,join_on_relstr(sK3,sK5),sK4)
| ~ spl16_1
| ~ spl16_4
| spl16_5 ),
inference(unit_resulting_resolution,[],[f751,f737,f738,f739,f799,f824,f803]) ).
fof(f836,plain,
( sK4 = sK14(sK3,sK5)
| ~ spl16_1
| ~ spl16_3
| ~ spl16_4 ),
inference(unit_resulting_resolution,[],[f751,f737,f738,f815,f816,f826,f739]) ).
fof(f886,plain,
( related(sK3,join_on_relstr(sK3,sK5),sK14(sK3,sK5))
| ~ spl16_4 ),
inference(unit_resulting_resolution,[],[f778,f737,f794,f814,f815,f803]) ).
fof(f898,plain,
( related(sK3,join_on_relstr(sK3,sK5),sK4)
| ~ spl16_1
| ~ spl16_3
| ~ spl16_4 ),
inference(forward_demodulation,[],[f886,f836]) ).
fof(f909,plain,
( $false
| ~ spl16_1
| ~ spl16_3
| ~ spl16_4
| spl16_5 ),
inference(forward_subsumption_resolution,[],[f898,f833]) ).
fof(f910,plain,
( ~ spl16_1
| ~ spl16_3
| ~ spl16_4
| spl16_5 ),
inference(avatar_contradiction_clause,[],[f909]) ).
fof(f914,plain,
( ~ related(sK3,sK4,sK2(sK4,sK5,sK3))
| ~ spl16_2
| ~ spl16_3 ),
inference(unit_resulting_resolution,[],[f736,f790,f785]) ).
fof(f915,plain,
( relstr_set_smaller(sK3,sK5,sK2(sK4,sK5,sK3))
| ~ spl16_2
| ~ spl16_3 ),
inference(unit_resulting_resolution,[],[f735,f790,f785]) ).
fof(f916,plain,
( element(sK2(sK4,sK5,sK3),the_carrier(sK3))
| ~ spl16_2
| ~ spl16_3 ),
inference(unit_resulting_resolution,[],[f734,f790,f785]) ).
fof(f925,plain,
( ! [X0] :
( ~ element(sK4,the_carrier(sK3))
| ~ relstr_set_smaller(sK3,sK5,X0)
| ~ element(X0,the_carrier(sK3))
| ~ ex_sup_of_relstr_set(sK3,sK5)
| related(sK3,sK4,X0)
| ~ rel_str(sK3) )
| ~ spl16_5 ),
inference(superposition,[],[f778,f798]) ).
fof(f926,plain,
( ~ element(sK4,the_carrier(sK3))
| ~ ex_sup_of_relstr_set(sK3,sK5)
| relstr_set_smaller(sK3,sK5,sK4)
| ~ rel_str(sK3)
| ~ spl16_5 ),
inference(superposition,[],[f777,f798]) ).
fof(f928,plain,
( ~ element(sK2(sK4,sK5,sK3),the_carrier(sK3))
| ~ spl16_1
| ~ spl16_2
| ~ spl16_3 ),
inference(unit_resulting_resolution,[],[f781,f914,f915]) ).
fof(f929,plain,
( $false
| ~ spl16_1
| ~ spl16_2
| ~ spl16_3 ),
inference(forward_subsumption_resolution,[],[f928,f916]) ).
fof(f930,plain,
( ~ spl16_1
| ~ spl16_2
| ~ spl16_3 ),
inference(avatar_contradiction_clause,[],[f929]) ).
fof(f933,plain,
( ~ ex_sup_of_relstr_set(sK3,sK5)
| relstr_set_smaller(sK3,sK5,sK4)
| ~ rel_str(sK3)
| ~ spl16_5 ),
inference(forward_subsumption_resolution,[],[f926,f739]) ).
fof(f938,plain,
( relstr_set_smaller(sK3,sK5,sK4)
| ~ rel_str(sK3)
| ~ spl16_4
| ~ spl16_5 ),
inference(forward_subsumption_resolution,[],[f933,f794]) ).
fof(f939,plain,
( ~ rel_str(sK3)
| spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(forward_subsumption_resolution,[],[f938,f789]) ).
fof(f940,plain,
( $false
| spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(forward_subsumption_resolution,[],[f939,f737]) ).
fof(f941,plain,
( spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(avatar_contradiction_clause,[],[f940]) ).
fof(f942,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK3,sK5,X0)
| ~ element(X0,the_carrier(sK3))
| ~ ex_sup_of_relstr_set(sK3,sK5)
| related(sK3,sK4,X0)
| ~ rel_str(sK3) )
| ~ spl16_5 ),
inference(forward_subsumption_resolution,[],[f925,f739]) ).
fof(f943,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK3,sK5,X0)
| ~ element(X0,the_carrier(sK3))
| related(sK3,sK4,X0)
| ~ rel_str(sK3) )
| ~ spl16_4
| ~ spl16_5 ),
inference(forward_subsumption_resolution,[],[f942,f794]) ).
fof(f944,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK3,sK5,X0)
| ~ element(X0,the_carrier(sK3))
| related(sK3,sK4,X0) )
| ~ spl16_4
| ~ spl16_5 ),
inference(forward_subsumption_resolution,[],[f943,f737]) ).
fof(f945,plain,
( spl16_1
| ~ spl16_4
| ~ spl16_5 ),
inference(avatar_split_clause,[],[f944,f797,f793,f780]) ).
fof(f947,plain,
( element(sK9(sK3,sK5,sK4),the_carrier(sK3))
| ~ spl16_3
| spl16_4 ),
inference(unit_resulting_resolution,[],[f755,f737,f738,f795,f739,f790]) ).
fof(f948,plain,
( relstr_set_smaller(sK3,sK5,sK9(sK3,sK5,sK4))
| ~ spl16_3
| spl16_4 ),
inference(unit_resulting_resolution,[],[f756,f737,f738,f795,f739,f790]) ).
fof(f949,plain,
( ~ related(sK3,sK4,sK9(sK3,sK5,sK4))
| ~ spl16_3
| spl16_4 ),
inference(unit_resulting_resolution,[],[f757,f737,f738,f795,f739,f790]) ).
fof(f954,plain,
( related(sK3,sK4,sK9(sK3,sK5,sK4))
| ~ spl16_1
| ~ spl16_3
| spl16_4 ),
inference(unit_resulting_resolution,[],[f781,f947,f948]) ).
fof(f958,plain,
( $false
| ~ spl16_1
| ~ spl16_3
| spl16_4 ),
inference(forward_subsumption_resolution,[],[f954,f949]) ).
fof(f959,plain,
( ~ spl16_1
| ~ spl16_3
| spl16_4 ),
inference(avatar_contradiction_clause,[],[f958]) ).
cnf(s1,plain,
( spl16_1
| spl16_2 ),
inference(sat_conversion,[],[f786]) ).
cnf(s2,plain,
( spl16_2
| spl16_3 ),
inference(sat_conversion,[],[f791]) ).
cnf(s3,plain,
( spl16_2
| ~ spl16_4
| ~ spl16_5 ),
inference(sat_conversion,[],[f800]) ).
cnf(s4,plain,
( ~ spl16_2
| spl16_4 ),
inference(sat_conversion,[],[f802]) ).
cnf(s5,plain,
( ~ spl16_2
| spl16_5 ),
inference(sat_conversion,[],[f806]) ).
cnf(s14,plain,
( ~ spl16_1
| ~ spl16_3
| ~ spl16_4
| spl16_5 ),
inference(sat_conversion,[],[f910]) ).
cnf(s15,plain,
( ~ spl16_1
| ~ spl16_2
| ~ spl16_3 ),
inference(sat_conversion,[],[f930]) ).
cnf(s17,plain,
( spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(sat_conversion,[],[f941]) ).
cnf(s18,plain,
( spl16_1
| ~ spl16_4
| ~ spl16_5 ),
inference(sat_conversion,[],[f945]) ).
cnf(s19,plain,
( ~ spl16_1
| ~ spl16_3
| spl16_4 ),
inference(sat_conversion,[],[f959]) ).
cnf(s20,plain,
spl16_1,
inference(rat,[],[s18,s4,s5,s1]) ).
cnf(s21,plain,
~ spl16_2,
inference(rat,[],[s17,s4,s5,s15,s20]) ).
cnf(s22,plain,
spl16_3,
inference(rat,[],[s2,s21]) ).
cnf(s23,plain,
spl16_4,
inference(rat,[],[s19,s20,s22]) ).
cnf(s24,plain,
spl16_5,
inference(rat,[],[s14,s23,s20,s22]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s3,s21,s23,s24]) ).
fof(f960,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU359+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 04:55:57 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 4.43/1.53 % (1195762)Detected formulas, will run a generic FOF schedule.
% 4.43/1.53 % (1195767)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=1025196754:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.43/1.53 % (1195769)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=3941705327:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.43/1.53 % (1195768)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=1578985681:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.43/1.53 % (1195770)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=701703443:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.43/1.53 % (1195771)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1251671971:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.43/1.53 % (1195773)dis-21_1_sil=8000:lcm=predicate:random_seed=547412003: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)
% 4.43/1.53 % (1195772)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2326500223:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.43/1.53 % (1195770)Instruction limit reached!
% 4.43/1.53 % (1195770)------------------------------
% 4.43/1.53 % (1195770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.53 % (1195770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.53 % (1195770)CaDiCaL version: 2.1.3
% 4.43/1.53 % (1195770)Termination reason: Instruction limit
% 4.43/1.53 % (1195770)Termination phase: Saturation
% 4.43/1.53 % (1195770)Time elapsed: 0.059 s
% 4.43/1.53 % (1195770)Peak memory usage: 91 MB
% 4.43/1.53 % (1195770)Instructions burned: 110 (million)
% 4.43/1.53 % (1195773)Instruction limit reached!
% 4.43/1.53 % (1195773)------------------------------
% 4.43/1.53 % (1195773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.53 % (1195773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.53 % (1195773)CaDiCaL version: 2.1.3
% 4.43/1.53 % (1195773)Termination reason: Instruction limit
% 4.43/1.53 % (1195773)Termination phase: Saturation
% 4.43/1.53 % (1195773)Time elapsed: 0.066 s
% 4.43/1.53 % (1195773)Peak memory usage: 91 MB
% 4.43/1.53 % (1195773)Instructions burned: 130 (million)
% 4.43/1.53 % (1195771)Instruction limit reached!
% 4.43/1.53 % (1195771)------------------------------
% 4.43/1.53 % (1195771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.53 % (1195771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.53 % (1195771)CaDiCaL version: 2.1.3
% 4.43/1.53 % (1195771)Termination reason: Instruction limit
% 4.43/1.53 % (1195771)Termination phase: Saturation
% 4.43/1.53 % (1195771)Time elapsed: 0.075 s
% 4.43/1.53 % (1195771)Peak memory usage: 91 MB
% 4.43/1.53 % (1195771)Instructions burned: 120 (million)
% 4.43/1.53 % (1195772)Instruction limit reached!
% 4.43/1.53 % (1195772)------------------------------
% 4.43/1.53 % (1195772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.53 % (1195772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.53 % (1195772)CaDiCaL version: 2.1.3
% 4.43/1.53 % (1195772)Termination reason: Instruction limit
% 4.43/1.53 % (1195772)Termination phase: Saturation
% 4.43/1.53 % (1195772)Time elapsed: 0.087 s
% 4.43/1.53 % (1195772)Peak memory usage: 92 MB
% 4.43/1.53 % (1195772)Instructions burned: 139 (million)
% 4.43/1.53 % (1195781)lrs+10_1_sil=8000:sp=occurrence:random_seed=1812727112:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.43/1.53 % (1195783)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1303704507:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.43/1.53 % (1195782)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1710642755:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.43/1.53 % (1195782)First to succeed.
% 4.43/1.53 % (1195782)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1195762"
% 4.43/1.53 % (1195784)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1524198447:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.43/1.53 % (1195781)Instruction limit reached!
% 4.43/1.53 % (1195781)------------------------------
% 4.43/1.53 % (1195781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.53 % (1195781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.53 % (1195781)CaDiCaL version: 2.1.3
% 4.43/1.53 % (1195781)Termination reason: Instruction limit
% 4.43/1.53 % (1195781)Termination phase: Saturation
% 4.43/1.53 % (1195781)Time elapsed: 0.180 s
% 4.43/1.53 % (1195781)Peak memory usage: 95 MB
% 4.43/1.53 % (1195781)Instructions burned: 285 (million)
% 4.43/1.53 % (1195784)Instruction limit reached!
% 4.43/1.53 % (1195784)------------------------------
% 4.43/1.53 % (1195784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.53 % (1195784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.53 % (1195784)CaDiCaL version: 2.1.3
% 4.43/1.53 % (1195784)Termination reason: Instruction limit
% 4.43/1.53 % (1195784)Termination phase: Saturation
% 4.43/1.53 % (1195784)Time elapsed: 0.144 s
% 4.43/1.53 % (1195784)Peak memory usage: 93 MB
% 4.43/1.53 % (1195784)Instructions burned: 249 (million)
% 4.43/1.53 % (1195783)Instruction limit reached!
% 4.43/1.53 % (1195783)------------------------------
% 4.43/1.53 % (1195783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.53 % (1195783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.53 % (1195783)CaDiCaL version: 2.1.3
% 4.43/1.53 % (1195783)Termination reason: Instruction limit
% 4.43/1.53 % (1195783)Termination phase: Saturation
% 4.43/1.53 % (1195783)Time elapsed: 0.215 s
% 4.43/1.53 % (1195783)Peak memory usage: 95 MB
% 4.43/1.53 % (1195783)Instructions burned: 326 (million)
% 4.43/1.53 % (1195782)Refutation found. Thanks to Tanya!
% 4.43/1.53 % SZS status Theorem for theBenchmark
% 4.43/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 5.31/1.72 % (1195782)------------------------------
% 5.31/1.72 % (1195782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.72 % (1195782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.72 % (1195782)CaDiCaL version: 2.1.3
% 5.31/1.72 % (1195782)Termination reason: Refutation
% 5.31/1.72 % (1195782)Time elapsed: 0.020 s
% 5.31/1.72 % (1195782)Peak memory usage: 90 MB
% 5.31/1.72 % (1195782)Instructions burned: 30 (million)
% 5.31/1.72 % (1195782)------------------------------
% 5.31/1.72 % (1195782)------------------------------
% 5.31/1.72 % (1195762)Success in time 0.682 s
% 5.31/1.72 % Vampire exiting
%------------------------------------------------------------------------------