%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU359+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 0.80s 1.49s
% Output : Refutation 4.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 140 ( 11 unt; 8 def)
% Number of atoms : 684 ( 47 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 922 ( 378 ~; 390 |; 108 &)
% ( 13 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 8 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 184 ( 0 sgn 157 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox2/benchmark/theBenchmark.p',d9_yellow_0) ).
fof(f2,axiom,
! [X0,X1] :
( rel_str(X0)
=> element(join_on_relstr(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(f10,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/sandbox2/benchmark/theBenchmark.p',t15_yellow_0) ).
fof(f11,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/sandbox2/benchmark/theBenchmark.p',t30_yellow_0) ).
fof(f12,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)],[f11]) ).
fof(f13,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,[],[f12]) ).
fof(f16,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,[],[f1]) ).
fof(f17,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,[],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f19,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,[],[f10]) ).
fof(f20,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,[],[f19]) ).
fof(f21,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,[],[f13]) ).
fof(f22,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,[],[f21]) ).
fof(f23,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(f24,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,[],[f22,f23]) ).
fof(f25,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,[],[f17]) ).
fof(f26,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,[],[f25]) ).
fof(f27,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,[],[f26]) ).
fof(f28,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = join_on_relstr(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| ( ~ related(X0,X2,sK1(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK1(X0,X1,X2))
& element(sK1(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,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f27]) ).
fof(f31,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,[],[f20]) ).
fof(f32,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,[],[f31]) ).
fof(f33,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,sK4(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK4(X0,X1,X2))
& element(sK4(X0,X1,X2),the_carrier(X0)) ) ) )
& ( ( element(sK5(X0,X1),the_carrier(X0))
& relstr_set_smaller(X0,X1,sK5(X0,X1))
& ! [X5] :
( related(X0,sK5(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,[sK4,sK5]),skolemize(X3,sK4(X0,X1,X2)),skolemize(X4,sK5(X0,X1))],[f32]) ).
fof(f34,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,[],[f23]) ).
fof(f35,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,[],[f34]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( ( ~ relstr_set_smaller(X2,X1,X0)
| ( ~ related(X2,X0,sK6(X0,X1,X2))
& relstr_set_smaller(X2,X1,sK6(X0,X1,X2))
& element(sK6(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,[sK6]),skolemize(X3,sK6(X0,X1,X2))],[f35]) ).
fof(f37,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,[],[f24]) ).
fof(f38,plain,
( ( sP0(sK8,sK9,sK7)
| ( ( sK8 != join_on_relstr(sK7,sK9)
| ~ ex_sup_of_relstr_set(sK7,sK9) )
& relstr_set_smaller(sK7,sK9,sK8)
& ! [X3] :
( related(sK7,sK8,X3)
| ~ relstr_set_smaller(sK7,sK9,X3)
| ~ element(X3,the_carrier(sK7)) ) ) )
& element(sK8,the_carrier(sK7))
& antisymmetric_relstr(sK7)
& rel_str(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9)],[f37]) ).
fof(f39,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,[],[f28]) ).
fof(f40,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,[],[f28]) ).
fof(f41,plain,
! [X2,X0,X1] :
( element(sK1(X0,X1,X2),the_carrier(X0))
| ~ 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,[],[f28]) ).
fof(f42,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X0,X1,sK1(X0,X1,X2))
| ~ 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,[],[f28]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ related(X0,X2,sK1(X0,X1,X2))
| ~ 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,[],[f28]) ).
fof(f44,plain,
! [X0,X1] :
( element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f50,plain,
! [X2,X0,X1] :
( element(sK4(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,[],[f33]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| relstr_set_smaller(X0,X1,sK4(X0,X1,X2))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ related(X0,X2,sK4(X0,X1,X2))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ex_sup_of_relstr_set(X2,X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| join_on_relstr(X2,X1) = X0 ),
inference(cnf_transformation,[],[f36]) ).
fof(f55,plain,
! [X2,X0,X1] :
( element(sK6(X0,X1,X2),the_carrier(X2))
| ~ relstr_set_smaller(X2,X1,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f56,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X2,X1,sK6(X0,X1,X2))
| ~ relstr_set_smaller(X2,X1,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ related(X2,X0,sK6(X0,X1,X2))
| ~ relstr_set_smaller(X2,X1,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f58,plain,
rel_str(sK7),
inference(cnf_transformation,[],[f38]) ).
fof(f59,plain,
antisymmetric_relstr(sK7),
inference(cnf_transformation,[],[f38]) ).
fof(f60,plain,
element(sK8,the_carrier(sK7)),
inference(cnf_transformation,[],[f38]) ).
fof(f61,plain,
! [X3] :
( sP0(sK8,sK9,sK7)
| related(sK7,sK8,X3)
| ~ relstr_set_smaller(sK7,sK9,X3)
| ~ element(X3,the_carrier(sK7)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f62,plain,
( sP0(sK8,sK9,sK7)
| relstr_set_smaller(sK7,sK9,sK8) ),
inference(cnf_transformation,[],[f38]) ).
fof(f63,plain,
( sP0(sK8,sK9,sK7)
| sK8 != join_on_relstr(sK7,sK9)
| ~ ex_sup_of_relstr_set(sK7,sK9) ),
inference(cnf_transformation,[],[f38]) ).
fof(f64,plain,
! [X0,X1] :
( relstr_set_smaller(X0,X1,join_on_relstr(X0,X1))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f40]) ).
fof(f65,plain,
! [X0,X1,X4] :
( related(X0,join_on_relstr(X0,X1),X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f39]) ).
fof(f67,definition,
( spl10_1
<=> ! [X3] :
( related(sK7,sK8,X3)
| ~ element(X3,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,X3) ) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f68,plain,
( ! [X3] :
( related(sK7,sK8,X3)
| ~ element(X3,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,X3) )
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,definition,
( spl10_2
<=> sP0(sK8,sK9,sK7) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f72,plain,
( sP0(sK8,sK9,sK7)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f61,f70,f67]) ).
fof(f75,definition,
( spl10_3
<=> relstr_set_smaller(sK7,sK9,sK8) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f77,plain,
( relstr_set_smaller(sK7,sK9,sK8)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,plain,
( spl10_3
| spl10_2 ),
inference(avatar_split_clause,[],[f62,f70,f75]) ).
fof(f80,definition,
( spl10_4
<=> ex_sup_of_relstr_set(sK7,sK9) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f81,plain,
( ex_sup_of_relstr_set(sK7,sK9)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f82,plain,
( ~ ex_sup_of_relstr_set(sK7,sK9)
| spl10_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f84,definition,
( spl10_5
<=> sK8 = join_on_relstr(sK7,sK9) ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f85,plain,
( sK8 = join_on_relstr(sK7,sK9)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
( sK8 != join_on_relstr(sK7,sK9)
| spl10_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,plain,
( ~ spl10_4
| ~ spl10_5
| spl10_2 ),
inference(avatar_split_clause,[],[f63,f70,f84,f80]) ).
fof(f88,plain,
( sK8 = join_on_relstr(sK7,sK9)
| ~ spl10_2 ),
inference(resolution,[],[f54,f72]) ).
fof(f89,plain,
( spl10_5
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f88,f70,f84]) ).
fof(f91,plain,
! [X0,X1] :
( relstr_set_smaller(X0,X1,join_on_relstr(X0,X1))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(forward_subsumption_resolution,[],[f64,f44]) ).
fof(f92,plain,
( relstr_set_smaller(sK7,sK9,sK8)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ rel_str(sK7)
| ~ spl10_5 ),
inference(superposition,[],[f91,f85]) ).
fof(f93,plain,
( relstr_set_smaller(sK7,sK9,sK8)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f92,f58]) ).
fof(f94,plain,
( ~ spl10_4
| spl10_3
| ~ spl10_5 ),
inference(avatar_split_clause,[],[f93,f84,f75,f80]) ).
fof(f95,plain,
( ! [X0] : ~ sP0(X0,sK9,sK7)
| spl10_4 ),
inference(resolution,[],[f82,f53]) ).
fof(f96,plain,
( $false
| ~ spl10_2
| spl10_4 ),
inference(resolution,[],[f95,f72]) ).
fof(f97,plain,
( ~ spl10_2
| spl10_4 ),
inference(avatar_contradiction_clause,[],[f96]) ).
fof(f104,plain,
! [X0,X1,X4] :
( ~ rel_str(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) ),
inference(forward_subsumption_resolution,[],[f65,f44]) ).
fof(f105,plain,
! [X0,X1] :
( related(sK7,join_on_relstr(sK7,X0),X1)
| ~ element(X1,the_carrier(sK7))
| ~ ex_sup_of_relstr_set(sK7,X0)
| ~ relstr_set_smaller(sK7,X0,X1) ),
inference(resolution,[],[f104,f58]) ).
fof(f109,plain,
( ! [X0] :
( related(sK7,sK8,X0)
| ~ element(X0,the_carrier(sK7))
| ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ relstr_set_smaller(sK7,sK9,X0) )
| ~ spl10_5 ),
inference(superposition,[],[f105,f85]) ).
fof(f110,plain,
( ! [X0] :
( related(sK7,sK8,X0)
| ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,X0) )
| ~ spl10_4
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f109,f81]) ).
fof(f113,plain,
( spl10_1
| ~ spl10_4
| ~ spl10_5 ),
inference(avatar_split_clause,[],[f110,f84,f80,f67]) ).
fof(f115,plain,
( ! [X0] :
( ~ element(sK6(sK8,X0,sK7),the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,sK6(sK8,X0,sK7))
| ~ relstr_set_smaller(sK7,X0,sK8)
| ~ sP0(sK8,X0,sK7) )
| ~ spl10_1 ),
inference(resolution,[],[f68,f57]) ).
fof(f116,plain,
( ! [X0] :
( ~ element(sK1(sK7,X0,sK8),the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,sK1(sK7,X0,sK8))
| ~ relstr_set_smaller(sK7,X0,sK8)
| sK8 = join_on_relstr(sK7,X0)
| ~ ex_sup_of_relstr_set(sK7,X0)
| ~ element(sK8,the_carrier(sK7))
| ~ rel_str(sK7) )
| ~ spl10_1 ),
inference(resolution,[],[f68,f43]) ).
fof(f117,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK7,sK9,sK1(sK7,X0,sK8))
| ~ relstr_set_smaller(sK7,X0,sK8)
| sK8 = join_on_relstr(sK7,X0)
| ~ ex_sup_of_relstr_set(sK7,X0)
| ~ element(sK8,the_carrier(sK7))
| ~ rel_str(sK7) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f116,f41]) ).
fof(f118,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK7,sK9,sK6(sK8,X0,sK7))
| ~ relstr_set_smaller(sK7,X0,sK8)
| ~ sP0(sK8,X0,sK7) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f115,f55]) ).
fof(f119,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK7,sK9,sK1(sK7,X0,sK8))
| ~ relstr_set_smaller(sK7,X0,sK8)
| sK8 = join_on_relstr(sK7,X0)
| ~ ex_sup_of_relstr_set(sK7,X0)
| ~ rel_str(sK7) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f117,f60]) ).
fof(f120,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK7,sK9,sK1(sK7,X0,sK8))
| ~ relstr_set_smaller(sK7,X0,sK8)
| sK8 = join_on_relstr(sK7,X0)
| ~ ex_sup_of_relstr_set(sK7,X0) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f119,f58]) ).
fof(f121,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ sP0(sK8,sK9,sK7)
| ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ sP0(sK8,sK9,sK7)
| ~ spl10_1 ),
inference(resolution,[],[f118,f56]) ).
fof(f122,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ sP0(sK8,sK9,sK7)
| ~ spl10_1 ),
inference(duplicate_literal_removal,[],[f121]) ).
fof(f123,plain,
( ~ sP0(sK8,sK9,sK7)
| ~ spl10_1
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f122,f77]) ).
fof(f126,plain,
( ~ spl10_2
| ~ spl10_1
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f123,f75,f67,f70]) ).
fof(f127,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| sK8 = join_on_relstr(sK7,sK9)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ relstr_set_smaller(sK7,sK9,sK8)
| sK8 = join_on_relstr(sK7,sK9)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ element(sK8,the_carrier(sK7))
| ~ rel_str(sK7)
| ~ spl10_1 ),
inference(resolution,[],[f120,f42]) ).
fof(f128,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| sK8 = join_on_relstr(sK7,sK9)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ element(sK8,the_carrier(sK7))
| ~ rel_str(sK7)
| ~ spl10_1 ),
inference(duplicate_literal_removal,[],[f127]) ).
fof(f129,plain,
( sK8 = join_on_relstr(sK7,sK9)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ element(sK8,the_carrier(sK7))
| ~ rel_str(sK7)
| ~ spl10_1
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f128,f77]) ).
fof(f130,plain,
( ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ element(sK8,the_carrier(sK7))
| ~ rel_str(sK7)
| ~ spl10_1
| ~ spl10_3
| spl10_5 ),
inference(forward_subsumption_resolution,[],[f129,f86]) ).
fof(f135,plain,
( ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ rel_str(sK7)
| ~ spl10_1
| ~ spl10_3
| spl10_5 ),
inference(forward_subsumption_resolution,[],[f130,f60]) ).
fof(f136,plain,
( ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ spl10_1
| ~ spl10_3
| spl10_5 ),
inference(forward_subsumption_resolution,[],[f135,f58]) ).
fof(f137,plain,
( ~ spl10_4
| ~ spl10_1
| ~ spl10_3
| spl10_5 ),
inference(avatar_split_clause,[],[f136,f84,f75,f67,f80]) ).
fof(f138,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,X0)
| ~ related(sK7,X0,sK4(sK7,sK9,X0))
| ~ antisymmetric_relstr(sK7)
| ~ rel_str(sK7) )
| spl10_4 ),
inference(resolution,[],[f82,f52]) ).
fof(f139,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,X0)
| relstr_set_smaller(sK7,sK9,sK4(sK7,sK9,X0))
| ~ antisymmetric_relstr(sK7)
| ~ rel_str(sK7) )
| spl10_4 ),
inference(resolution,[],[f82,f51]) ).
fof(f141,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,X0)
| relstr_set_smaller(sK7,sK9,sK4(sK7,sK9,X0))
| ~ rel_str(sK7) )
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f139,f59]) ).
fof(f142,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,X0)
| ~ related(sK7,X0,sK4(sK7,sK9,X0))
| ~ rel_str(sK7) )
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f138,f59]) ).
fof(f143,plain,
( ! [X0] :
( relstr_set_smaller(sK7,sK9,sK4(sK7,sK9,X0))
| ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,the_carrier(sK7)) )
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f141,f58]) ).
fof(f144,plain,
( ! [X0] :
( ~ related(sK7,X0,sK4(sK7,sK9,X0))
| ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,the_carrier(sK7)) )
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f142,f58]) ).
fof(f146,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ element(sK8,the_carrier(sK7))
| ~ element(sK4(sK7,sK9,sK8),the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,sK4(sK7,sK9,sK8))
| ~ spl10_1
| spl10_4 ),
inference(resolution,[],[f144,f68]) ).
fof(f149,plain,
( ~ element(sK8,the_carrier(sK7))
| ~ element(sK4(sK7,sK9,sK8),the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,sK4(sK7,sK9,sK8))
| ~ spl10_1
| ~ spl10_3
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f146,f77]) ).
fof(f151,plain,
( ~ element(sK4(sK7,sK9,sK8),the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,sK4(sK7,sK9,sK8))
| ~ spl10_1
| ~ spl10_3
| spl10_4 ),
inference(forward_subsumption_resolution,[],[f149,f60]) ).
fof(f153,definition,
( spl10_6
<=> relstr_set_smaller(sK7,sK9,sK4(sK7,sK9,sK8)) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f155,plain,
( ~ relstr_set_smaller(sK7,sK9,sK4(sK7,sK9,sK8))
| spl10_6 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f157,definition,
( spl10_7
<=> element(sK4(sK7,sK9,sK8),the_carrier(sK7)) ),
introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition]) ).
fof(f159,plain,
( ~ element(sK4(sK7,sK9,sK8),the_carrier(sK7))
| spl10_7 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f160,plain,
( ~ spl10_6
| ~ spl10_7
| ~ spl10_1
| ~ spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f151,f80,f75,f67,f157,f153]) ).
fof(f161,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ element(sK8,the_carrier(sK7))
| spl10_4
| spl10_6 ),
inference(resolution,[],[f155,f143]) ).
fof(f162,plain,
( ~ element(sK8,the_carrier(sK7))
| ~ spl10_3
| spl10_4
| spl10_6 ),
inference(forward_subsumption_resolution,[],[f161,f77]) ).
fof(f163,plain,
( $false
| ~ spl10_3
| spl10_4
| spl10_6 ),
inference(forward_subsumption_resolution,[],[f162,f60]) ).
fof(f164,plain,
( ~ spl10_3
| spl10_4
| spl10_6 ),
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f172,plain,
( ~ element(sK8,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,sK8)
| ex_sup_of_relstr_set(sK7,sK9)
| ~ antisymmetric_relstr(sK7)
| ~ rel_str(sK7)
| spl10_7 ),
inference(resolution,[],[f159,f50]) ).
fof(f173,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| ex_sup_of_relstr_set(sK7,sK9)
| ~ antisymmetric_relstr(sK7)
| ~ rel_str(sK7)
| spl10_7 ),
inference(forward_subsumption_resolution,[],[f172,f60]) ).
fof(f174,plain,
( ex_sup_of_relstr_set(sK7,sK9)
| ~ antisymmetric_relstr(sK7)
| ~ rel_str(sK7)
| ~ spl10_3
| spl10_7 ),
inference(forward_subsumption_resolution,[],[f173,f77]) ).
fof(f175,plain,
( ~ antisymmetric_relstr(sK7)
| ~ rel_str(sK7)
| ~ spl10_3
| spl10_4
| spl10_7 ),
inference(forward_subsumption_resolution,[],[f174,f82]) ).
fof(f176,plain,
( ~ rel_str(sK7)
| ~ spl10_3
| spl10_4
| spl10_7 ),
inference(forward_subsumption_resolution,[],[f175,f59]) ).
fof(f177,plain,
( $false
| ~ spl10_3
| spl10_4
| spl10_7 ),
inference(forward_subsumption_resolution,[],[f176,f58]) ).
fof(f178,plain,
( ~ spl10_3
| spl10_4
| spl10_7 ),
inference(avatar_contradiction_clause,[],[f177]) ).
cnf(s1,plain,
( spl10_1
| spl10_2 ),
inference(sat_conversion,[],[f73]) ).
cnf(s2,plain,
( spl10_2
| spl10_3 ),
inference(sat_conversion,[],[f78]) ).
cnf(s3,plain,
( spl10_2
| ~ spl10_4
| ~ spl10_5 ),
inference(sat_conversion,[],[f87]) ).
cnf(s4,plain,
( ~ spl10_2
| spl10_5 ),
inference(sat_conversion,[],[f89]) ).
cnf(s5,plain,
( spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(sat_conversion,[],[f94]) ).
cnf(s6,plain,
( ~ spl10_2
| spl10_4 ),
inference(sat_conversion,[],[f97]) ).
cnf(s7,plain,
( spl10_1
| ~ spl10_4
| ~ spl10_5 ),
inference(sat_conversion,[],[f113]) ).
cnf(s9,plain,
( ~ spl10_1
| ~ spl10_2
| ~ spl10_3 ),
inference(sat_conversion,[],[f126]) ).
cnf(s11,plain,
( ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| spl10_5 ),
inference(sat_conversion,[],[f137]) ).
cnf(s12,plain,
( ~ spl10_1
| ~ spl10_3
| spl10_4
| ~ spl10_6
| ~ spl10_7 ),
inference(sat_conversion,[],[f160]) ).
cnf(s13,plain,
( ~ spl10_3
| spl10_4
| spl10_6 ),
inference(sat_conversion,[],[f164]) ).
cnf(s14,plain,
( ~ spl10_3
| spl10_4
| spl10_7 ),
inference(sat_conversion,[],[f178]) ).
cnf(s15,plain,
spl10_1,
inference(rat,[],[s7,s4,s6,s1]) ).
cnf(s16,plain,
~ spl10_2,
inference(rat,[],[s5,s4,s6,s9,s15]) ).
cnf(s17,plain,
spl10_3,
inference(rat,[],[s2,s16]) ).
cnf(s18,plain,
~ spl10_4,
inference(rat,[],[s11,s3,s15,s17,s16]) ).
cnf(s19,plain,
spl10_7,
inference(rat,[],[s14,s17,s18]) ).
cnf(s20,plain,
spl10_6,
inference(rat,[],[s13,s17,s18]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s12,s19,s17,s15,s20,s18]) ).
fof(f179,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU359+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n016.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 28 04:59:03 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.80/1.49 % (3267595)Detected formulas, will run a generic FOF schedule.
% 0.80/1.49 % (3267607)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=532490603:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.80/1.49 % (3267607)First to succeed.
% 0.80/1.49 % (3267607)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3267595"
% 0.80/1.49 % (3267604)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=1365798052:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.80/1.49 % (3267602)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=543064431:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.80/1.49 % (3267605)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3283978388:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.80/1.49 % (3267603)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=3653149580:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.80/1.49 % (3267606)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3899238374:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.80/1.49 % (3267605)Refutation not found, incomplete strategy
% 0.80/1.49 % (3267605)------------------------------
% 0.80/1.49 % (3267605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.80/1.49 % (3267605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/1.49 % (3267605)CaDiCaL version: 2.1.3
% 0.80/1.49 % (3267605)Termination reason: Refutation not found, incomplete strategy
% 0.80/1.49 % (3267605)Time elapsed: 0.004 s
% 0.80/1.49 % (3267605)Peak memory usage: 88 MB
% 0.80/1.49 % (3267605)Instructions burned: 2 (million)
% 0.80/1.49 % (3267606)Also succeeded, but the first one will report.
% 0.80/1.49 % (3267608)dis-21_1_sil=8000:lcm=predicate:random_seed=2042976155: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)
% 0.80/1.49 % (3267608)Instruction limit reached!
% 0.80/1.49 % (3267608)------------------------------
% 0.80/1.49 % (3267608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.80/1.49 % (3267608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/1.49 % (3267608)CaDiCaL version: 2.1.3
% 0.80/1.49 % (3267608)Termination reason: Instruction limit
% 0.80/1.49 % (3267608)Termination phase: Saturation
% 0.80/1.49 % (3267608)Time elapsed: 0.083 s
% 0.80/1.49 % (3267608)Peak memory usage: 88 MB
% 0.80/1.49 % (3267608)Instructions burned: 129 (million)
% 0.80/1.49 % (3267607)Refutation found. Thanks to Tanya!
% 0.80/1.49 % SZS status Theorem for theBenchmark
% 0.80/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 4.08/1.75 % (3267607)------------------------------
% 4.08/1.75 % (3267607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.75 % (3267607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.75 % (3267607)CaDiCaL version: 2.1.3
% 4.08/1.75 % (3267607)Termination reason: Refutation
% 4.08/1.75 % (3267607)Time elapsed: 0.010 s
% 4.08/1.75 % (3267607)Peak memory usage: 90 MB
% 4.08/1.75 % (3267607)Instructions burned: 10 (million)
% 4.08/1.75 % (3267607)------------------------------
% 4.08/1.75 % (3267607)------------------------------
% 4.08/1.75 % (3267595)Success in time 0.46 s
% 4.08/1.75 % Vampire exiting
%------------------------------------------------------------------------------