%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU356+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:52:59 PM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 12
% Syntax : Number of formulae : 126 ( 9 unt; 9 def)
% Number of atoms : 682 ( 27 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 946 ( 390 ~; 418 |; 96 &)
% ( 16 <=>; 24 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 9 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 172 ( 0 sgn 140 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f9,conjecture,
! [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(f10,negated_conjecture,
~ ! [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) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,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(f12,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,[],[f1]) ).
fof(f15,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,[],[f12]) ).
fof(f16,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,[],[f15]) ).
fof(f17,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(f18,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,[],[f17]) ).
fof(f19,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,[],[f11]) ).
fof(f20,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,[],[f19]) ).
fof(f21,definition,
! [X2,X1,X0] :
( sP0(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,[sP0])],[predicate_definition_introduction]) ).
fof(f22,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)) )
& sP0(X2,X1,X0) ) )
| ~ rel_str(X0) ),
inference(definition_folding,[],[f16,f21]) ).
fof(f23,plain,
! [X2,X1,X0] :
( ( sP0(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)) ) )
& ( ! [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)) )
| ~ sP0(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( X0 != X3
& relstr_set_smaller(X2,X1,X3)
& ! [X4] :
( related(X2,X3,X4)
| ~ relstr_set_smaller(X2,X1,X4)
| ~ element(X4,the_carrier(X2)) )
& element(X3,the_carrier(X2)) ) )
& ( ! [X5] :
( X0 = X5
| ~ relstr_set_smaller(X2,X1,X5)
| ? [X6] :
( ~ related(X2,X5,X6)
& relstr_set_smaller(X2,X1,X6)
& element(X6,the_carrier(X2)) )
| ~ element(X5,the_carrier(X2)) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( sK1(X0,X1,X2) != X0
& relstr_set_smaller(X2,X1,sK1(X0,X1,X2))
& ! [X4] :
( related(X2,sK1(X0,X1,X2),X4)
| ~ relstr_set_smaller(X2,X1,X4)
| ~ element(X4,the_carrier(X2)) )
& element(sK1(X0,X1,X2),the_carrier(X2)) ) )
& ( ! [X5] :
( X0 = X5
| ~ relstr_set_smaller(X2,X1,X5)
| ( ~ related(X2,X5,sK2(X1,X2,X5))
& relstr_set_smaller(X2,X1,sK2(X1,X2,X5))
& element(sK2(X1,X2,X5),the_carrier(X2)) )
| ~ element(X5,the_carrier(X2)) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X3,sK1(X0,X1,X2)),skolemize(X6,sK2(X1,X2,X5))],[f24]) ).
fof(f26,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)) )
| ~ sP0(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)) )
& sP0(X2,X1,X0) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f22]) ).
fof(f27,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)) )
| ~ sP0(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)) )
& sP0(X4,X1,X0) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0) ),
inference(rectify,[],[f26]) ).
fof(f28,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,sK3(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK3(X0,X1,X2))
& element(sK3(X0,X1,X2),the_carrier(X0)) )
| ~ sP0(X2,X1,X0) ) )
& ( ( element(sK4(X0,X1),the_carrier(X0))
& relstr_set_smaller(X0,X1,sK4(X0,X1))
& ! [X5] :
( related(X0,sK4(X0,X1),X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& sP0(sK4(X0,X1),X1,X0) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X4,sK4(X0,X1))],[f27]) ).
fof(f31,plain,
? [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)) ) )
| ~ 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)) ) )
| ex_sup_of_relstr_set(X0,X1) ) )
& antisymmetric_relstr(X0)
& rel_str(X0) ),
inference(nnf_transformation,[],[f18]) ).
fof(f32,plain,
? [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)) ) )
| ~ ex_sup_of_relstr_set(X0,X1) )
& ( ? [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,
( ( ! [X2] :
( ~ element(X2,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X2)
| ( ~ related(sK7,X2,sK9(X2))
& relstr_set_smaller(sK7,sK8,sK9(X2))
& element(sK9(X2),the_carrier(sK7)) ) )
| ~ ex_sup_of_relstr_set(sK7,sK8) )
& ( ( element(sK10,the_carrier(sK7))
& relstr_set_smaller(sK7,sK8,sK10)
& ! [X5] :
( related(sK7,sK10,X5)
| ~ relstr_set_smaller(sK7,sK8,X5)
| ~ element(X5,the_carrier(sK7)) ) )
| ex_sup_of_relstr_set(sK7,sK8) )
& antisymmetric_relstr(sK7)
& rel_str(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X3,sK9(X2)),skolemize(X4,sK10)],[f32]) ).
fof(f37,plain,
! [X2,X0,X1] :
( element(sK1(X0,X1,X2),the_carrier(X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f38,plain,
! [X2,X0,X1,X4] :
( related(X2,sK1(X0,X1,X2),X4)
| sP0(X0,X1,X2)
| ~ relstr_set_smaller(X2,X1,X4)
| ~ element(X4,the_carrier(X2)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f39,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X2,X1,sK1(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f40,plain,
! [X2,X0,X1] :
( sK1(X0,X1,X2) != X0
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f42,plain,
! [X0,X1,X5] :
( related(X0,sK4(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,[],[f28]) ).
fof(f43,plain,
! [X0,X1] :
( relstr_set_smaller(X0,X1,sK4(X0,X1))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f44,plain,
! [X0,X1] :
( element(sK4(X0,X1),the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f45,plain,
! [X2,X0,X1] :
( element(sK3(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ex_sup_of_relstr_set(X0,X1)
| ~ sP0(X2,X1,X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f46,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X0,X1,sK3(X0,X1,X2))
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ex_sup_of_relstr_set(X0,X1)
| ~ sP0(X2,X1,X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ related(X0,X2,sK3(X0,X1,X2))
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ex_sup_of_relstr_set(X0,X1)
| ~ sP0(X2,X1,X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
rel_str(sK7),
inference(cnf_transformation,[],[f33]) ).
fof(f51,plain,
antisymmetric_relstr(sK7),
inference(cnf_transformation,[],[f33]) ).
fof(f52,plain,
! [X5] :
( related(sK7,sK10,X5)
| ~ relstr_set_smaller(sK7,sK8,X5)
| ~ element(X5,the_carrier(sK7))
| ex_sup_of_relstr_set(sK7,sK8) ),
inference(cnf_transformation,[],[f33]) ).
fof(f53,plain,
( relstr_set_smaller(sK7,sK8,sK10)
| ex_sup_of_relstr_set(sK7,sK8) ),
inference(cnf_transformation,[],[f33]) ).
fof(f54,plain,
( element(sK10,the_carrier(sK7))
| ex_sup_of_relstr_set(sK7,sK8) ),
inference(cnf_transformation,[],[f33]) ).
fof(f55,plain,
! [X2] :
( ~ element(X2,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X2)
| element(sK9(X2),the_carrier(sK7))
| ~ ex_sup_of_relstr_set(sK7,sK8) ),
inference(cnf_transformation,[],[f33]) ).
fof(f56,plain,
! [X2] :
( ~ element(X2,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X2)
| relstr_set_smaller(sK7,sK8,sK9(X2))
| ~ ex_sup_of_relstr_set(sK7,sK8) ),
inference(cnf_transformation,[],[f33]) ).
fof(f57,plain,
! [X2] :
( ~ element(X2,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X2)
| ~ related(sK7,X2,sK9(X2))
| ~ ex_sup_of_relstr_set(sK7,sK8) ),
inference(cnf_transformation,[],[f33]) ).
fof(f58,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,[],[f20]) ).
fof(f60,definition,
( spl11_1
<=> ex_sup_of_relstr_set(sK7,sK8) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f61,plain,
( ~ ex_sup_of_relstr_set(sK7,sK8)
| spl11_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f62,plain,
( ex_sup_of_relstr_set(sK7,sK8)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f64,definition,
( spl11_2
<=> ! [X5] :
( related(sK7,sK10,X5)
| ~ element(X5,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X5) ) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f65,plain,
( ! [X5] :
( ~ relstr_set_smaller(sK7,sK8,X5)
| ~ element(X5,the_carrier(sK7))
| related(sK7,sK10,X5) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f66,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f52,f64,f60]) ).
fof(f68,definition,
( spl11_3
<=> relstr_set_smaller(sK7,sK8,sK10) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f70,plain,
( relstr_set_smaller(sK7,sK8,sK10)
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,plain,
( spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f53,f68,f60]) ).
fof(f73,definition,
( spl11_4
<=> element(sK10,the_carrier(sK7)) ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
fof(f75,plain,
( element(sK10,the_carrier(sK7))
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,plain,
( spl11_1
| spl11_4 ),
inference(avatar_split_clause,[],[f54,f73,f60]) ).
fof(f78,definition,
( spl11_5
<=> ! [X2] :
( ~ element(X2,the_carrier(sK7))
| element(sK9(X2),the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X2) ) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
fof(f79,plain,
( ! [X2] :
( element(sK9(X2),the_carrier(sK7))
| ~ element(X2,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X2) )
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f80,plain,
( ~ spl11_1
| spl11_5 ),
inference(avatar_split_clause,[],[f55,f78,f60]) ).
fof(f82,definition,
( spl11_6
<=> ! [X2] :
( ~ element(X2,the_carrier(sK7))
| relstr_set_smaller(sK7,sK8,sK9(X2))
| ~ relstr_set_smaller(sK7,sK8,X2) ) ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
fof(f83,plain,
( ! [X2] :
( relstr_set_smaller(sK7,sK8,sK9(X2))
| ~ element(X2,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X2) )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f84,plain,
( ~ spl11_1
| spl11_6 ),
inference(avatar_split_clause,[],[f56,f82,f60]) ).
fof(f86,definition,
( spl11_7
<=> ! [X2] :
( ~ element(X2,the_carrier(sK7))
| ~ related(sK7,X2,sK9(X2))
| ~ relstr_set_smaller(sK7,sK8,X2) ) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
fof(f87,plain,
( ! [X2] :
( ~ related(sK7,X2,sK9(X2))
| ~ element(X2,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X2) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f88,plain,
( ~ spl11_1
| spl11_7 ),
inference(avatar_split_clause,[],[f57,f86,f60]) ).
fof(f91,plain,
( ! [X0] :
( sP0(X0,sK8,sK7)
| ~ element(sK1(X0,sK8,sK7),the_carrier(sK7))
| related(sK7,sK10,sK1(X0,sK8,sK7)) )
| ~ spl11_2 ),
inference(resolution,[],[f39,f65]) ).
fof(f92,plain,
( ! [X0] :
( related(sK7,sK10,sK1(X0,sK8,sK7))
| sP0(X0,sK8,sK7) )
| ~ spl11_2 ),
inference(forward_subsumption_resolution,[],[f91,f37]) ).
fof(f101,plain,
( ! [X0] :
( ~ related(sK7,sK1(X0,sK8,sK7),sK10)
| sK10 = sK1(X0,sK8,sK7)
| ~ element(sK10,the_carrier(sK7))
| ~ element(sK1(X0,sK8,sK7),the_carrier(sK7))
| ~ antisymmetric_relstr(sK7)
| ~ rel_str(sK7)
| sP0(X0,sK8,sK7) )
| ~ spl11_2 ),
inference(resolution,[],[f58,f92]) ).
fof(f109,plain,
( ! [X0] :
( ~ related(sK7,sK1(X0,sK8,sK7),sK10)
| sK10 = sK1(X0,sK8,sK7)
| ~ element(sK1(X0,sK8,sK7),the_carrier(sK7))
| ~ antisymmetric_relstr(sK7)
| ~ rel_str(sK7)
| sP0(X0,sK8,sK7) )
| ~ spl11_2
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f101,f75]) ).
fof(f110,plain,
( ! [X0] :
( ~ related(sK7,sK1(X0,sK8,sK7),sK10)
| sK10 = sK1(X0,sK8,sK7)
| ~ element(sK1(X0,sK8,sK7),the_carrier(sK7))
| ~ rel_str(sK7)
| sP0(X0,sK8,sK7) )
| ~ spl11_2
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f109,f51]) ).
fof(f111,plain,
( ! [X0] :
( ~ related(sK7,sK1(X0,sK8,sK7),sK10)
| sK10 = sK1(X0,sK8,sK7)
| ~ element(sK1(X0,sK8,sK7),the_carrier(sK7))
| sP0(X0,sK8,sK7) )
| ~ spl11_2
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f110,f50]) ).
fof(f112,plain,
( ! [X0] :
( ~ related(sK7,sK1(X0,sK8,sK7),sK10)
| sK10 = sK1(X0,sK8,sK7)
| sP0(X0,sK8,sK7) )
| ~ spl11_2
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f111,f37]) ).
fof(f113,plain,
( ! [X0] :
( sK10 = sK1(X0,sK8,sK7)
| sP0(X0,sK8,sK7)
| sP0(X0,sK8,sK7)
| ~ relstr_set_smaller(sK7,sK8,sK10)
| ~ element(sK10,the_carrier(sK7)) )
| ~ spl11_2
| ~ spl11_4 ),
inference(resolution,[],[f112,f38]) ).
fof(f114,plain,
( ! [X0] :
( sK10 = sK1(X0,sK8,sK7)
| sP0(X0,sK8,sK7)
| ~ relstr_set_smaller(sK7,sK8,sK10)
| ~ element(sK10,the_carrier(sK7)) )
| ~ spl11_2
| ~ spl11_4 ),
inference(duplicate_literal_removal,[],[f113]) ).
fof(f115,plain,
( ! [X0] :
( sK10 = sK1(X0,sK8,sK7)
| sP0(X0,sK8,sK7)
| ~ element(sK10,the_carrier(sK7)) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f114,f70]) ).
fof(f116,plain,
( ! [X0] :
( sP0(X0,sK8,sK7)
| sK10 = sK1(X0,sK8,sK7) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f115,f75]) ).
fof(f119,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X0)
| ex_sup_of_relstr_set(sK7,sK8)
| ~ sP0(X0,sK8,sK7)
| ~ rel_str(sK7)
| ~ element(sK3(sK7,sK8,X0),the_carrier(sK7))
| related(sK7,sK10,sK3(sK7,sK8,X0)) )
| ~ spl11_2 ),
inference(resolution,[],[f46,f65]) ).
fof(f120,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X0)
| ~ sP0(X0,sK8,sK7)
| ~ rel_str(sK7)
| ~ element(sK3(sK7,sK8,X0),the_carrier(sK7))
| related(sK7,sK10,sK3(sK7,sK8,X0)) )
| spl11_1
| ~ spl11_2 ),
inference(forward_subsumption_resolution,[],[f119,f61]) ).
fof(f121,plain,
( ! [X0] :
( ~ element(sK3(sK7,sK8,X0),the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X0)
| ~ sP0(X0,sK8,sK7)
| ~ element(X0,the_carrier(sK7))
| related(sK7,sK10,sK3(sK7,sK8,X0)) )
| spl11_1
| ~ spl11_2 ),
inference(forward_subsumption_resolution,[],[f120,f50]) ).
fof(f128,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK7,sK8,X0)
| ~ sP0(X0,sK8,sK7)
| ~ element(X0,the_carrier(sK7))
| related(sK7,sK10,sK3(sK7,sK8,X0))
| ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X0)
| ex_sup_of_relstr_set(sK7,sK8)
| ~ sP0(X0,sK8,sK7)
| ~ rel_str(sK7) )
| spl11_1
| ~ spl11_2 ),
inference(resolution,[],[f121,f45]) ).
fof(f129,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK7,sK8,X0)
| ~ sP0(X0,sK8,sK7)
| ~ element(X0,the_carrier(sK7))
| related(sK7,sK10,sK3(sK7,sK8,X0))
| ex_sup_of_relstr_set(sK7,sK8)
| ~ rel_str(sK7) )
| spl11_1
| ~ spl11_2 ),
inference(duplicate_literal_removal,[],[f128]) ).
fof(f130,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK7,sK8,X0)
| ~ sP0(X0,sK8,sK7)
| ~ element(X0,the_carrier(sK7))
| related(sK7,sK10,sK3(sK7,sK8,X0))
| ~ rel_str(sK7) )
| spl11_1
| ~ spl11_2 ),
inference(forward_subsumption_resolution,[],[f129,f61]) ).
fof(f131,plain,
( ! [X0] :
( related(sK7,sK10,sK3(sK7,sK8,X0))
| ~ sP0(X0,sK8,sK7)
| ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,X0) )
| spl11_1
| ~ spl11_2 ),
inference(forward_subsumption_resolution,[],[f130,f50]) ).
fof(f132,plain,
( ~ sP0(sK10,sK8,sK7)
| ~ element(sK10,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,sK10)
| ~ element(sK10,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,sK10)
| ex_sup_of_relstr_set(sK7,sK8)
| ~ sP0(sK10,sK8,sK7)
| ~ rel_str(sK7)
| spl11_1
| ~ spl11_2 ),
inference(resolution,[],[f131,f47]) ).
fof(f134,plain,
( ~ sP0(sK10,sK8,sK7)
| ~ element(sK10,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,sK10)
| ex_sup_of_relstr_set(sK7,sK8)
| ~ rel_str(sK7)
| spl11_1
| ~ spl11_2 ),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f136,plain,
( ~ sP0(sK10,sK8,sK7)
| ~ relstr_set_smaller(sK7,sK8,sK10)
| ex_sup_of_relstr_set(sK7,sK8)
| ~ rel_str(sK7)
| spl11_1
| ~ spl11_2
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f134,f75]) ).
fof(f138,plain,
( ~ sP0(sK10,sK8,sK7)
| ex_sup_of_relstr_set(sK7,sK8)
| ~ rel_str(sK7)
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f136,f70]) ).
fof(f140,plain,
( ~ sP0(sK10,sK8,sK7)
| ~ rel_str(sK7)
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f138,f61]) ).
fof(f141,plain,
( ~ sP0(sK10,sK8,sK7)
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f140,f50]) ).
fof(f142,plain,
( sK10 = sK1(sK10,sK8,sK7)
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4 ),
inference(resolution,[],[f141,f116]) ).
fof(f148,plain,
( sK10 != sK10
| sP0(sK10,sK8,sK7)
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4 ),
inference(superposition,[],[f40,f142]) ).
fof(f149,plain,
( sP0(sK10,sK8,sK7)
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4 ),
inference(trivial_inequality_removal,[],[f148]) ).
fof(f150,plain,
( $false
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f149,f141]) ).
fof(f151,plain,
( spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4 ),
inference(avatar_contradiction_clause,[],[f150]) ).
fof(f174,definition,
( spl11_11
<=> element(sK4(sK7,sK8),the_carrier(sK7)) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
fof(f175,plain,
( element(sK4(sK7,sK8),the_carrier(sK7))
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f176,plain,
( ~ element(sK4(sK7,sK8),the_carrier(sK7))
| spl11_11 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f186,plain,
( ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ rel_str(sK7)
| spl11_11 ),
inference(resolution,[],[f176,f44]) ).
fof(f187,plain,
( ~ rel_str(sK7)
| ~ spl11_1
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f186,f62]) ).
fof(f188,plain,
( $false
| ~ spl11_1
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f187,f50]) ).
fof(f189,plain,
( ~ spl11_1
| spl11_11 ),
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f193,plain,
( ! [X0] :
( ~ element(sK4(sK7,X0),the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,sK4(sK7,X0))
| ~ relstr_set_smaller(sK7,X0,sK9(sK4(sK7,X0)))
| ~ element(sK9(sK4(sK7,X0)),the_carrier(sK7))
| ~ ex_sup_of_relstr_set(sK7,X0)
| ~ rel_str(sK7) )
| ~ spl11_7 ),
inference(resolution,[],[f87,f42]) ).
fof(f194,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK7,sK8,sK4(sK7,X0))
| ~ relstr_set_smaller(sK7,X0,sK9(sK4(sK7,X0)))
| ~ element(sK9(sK4(sK7,X0)),the_carrier(sK7))
| ~ ex_sup_of_relstr_set(sK7,X0)
| ~ rel_str(sK7) )
| ~ spl11_7 ),
inference(forward_subsumption_resolution,[],[f193,f44]) ).
fof(f196,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK7,X0,sK9(sK4(sK7,X0)))
| ~ relstr_set_smaller(sK7,sK8,sK4(sK7,X0))
| ~ element(sK9(sK4(sK7,X0)),the_carrier(sK7))
| ~ ex_sup_of_relstr_set(sK7,X0) )
| ~ spl11_7 ),
inference(forward_subsumption_resolution,[],[f194,f50]) ).
fof(f220,plain,
( ~ relstr_set_smaller(sK7,sK8,sK4(sK7,sK8))
| ~ element(sK9(sK4(sK7,sK8)),the_carrier(sK7))
| ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ element(sK4(sK7,sK8),the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK8,sK4(sK7,sK8))
| ~ spl11_6
| ~ spl11_7 ),
inference(resolution,[],[f196,f83]) ).
fof(f221,plain,
( ~ relstr_set_smaller(sK7,sK8,sK4(sK7,sK8))
| ~ element(sK9(sK4(sK7,sK8)),the_carrier(sK7))
| ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ element(sK4(sK7,sK8),the_carrier(sK7))
| ~ spl11_6
| ~ spl11_7 ),
inference(duplicate_literal_removal,[],[f220]) ).
fof(f222,plain,
( ~ relstr_set_smaller(sK7,sK8,sK4(sK7,sK8))
| ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ element(sK4(sK7,sK8),the_carrier(sK7))
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7 ),
inference(forward_subsumption_resolution,[],[f221,f79]) ).
fof(f223,plain,
( ~ relstr_set_smaller(sK7,sK8,sK4(sK7,sK8))
| ~ element(sK4(sK7,sK8),the_carrier(sK7))
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7 ),
inference(forward_subsumption_resolution,[],[f222,f62]) ).
fof(f224,plain,
( ~ relstr_set_smaller(sK7,sK8,sK4(sK7,sK8))
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11 ),
inference(forward_subsumption_resolution,[],[f223,f175]) ).
fof(f260,plain,
( ~ ex_sup_of_relstr_set(sK7,sK8)
| ~ rel_str(sK7)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11 ),
inference(resolution,[],[f224,f43]) ).
fof(f261,plain,
( ~ rel_str(sK7)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11 ),
inference(forward_subsumption_resolution,[],[f260,f62]) ).
fof(f262,plain,
( $false
| ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11 ),
inference(forward_subsumption_resolution,[],[f261,f50]) ).
fof(f263,plain,
( ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f262]) ).
cnf(s1,plain,
( spl11_1
| spl11_2 ),
inference(sat_conversion,[],[f66]) ).
cnf(s2,plain,
( spl11_1
| spl11_3 ),
inference(sat_conversion,[],[f71]) ).
cnf(s3,plain,
( spl11_1
| spl11_4 ),
inference(sat_conversion,[],[f76]) ).
cnf(s4,plain,
( ~ spl11_1
| spl11_5 ),
inference(sat_conversion,[],[f80]) ).
cnf(s5,plain,
( ~ spl11_1
| spl11_6 ),
inference(sat_conversion,[],[f84]) ).
cnf(s6,plain,
( ~ spl11_1
| spl11_7 ),
inference(sat_conversion,[],[f88]) ).
cnf(s7,plain,
( spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4 ),
inference(sat_conversion,[],[f151]) ).
cnf(s12,plain,
( ~ spl11_1
| spl11_11 ),
inference(sat_conversion,[],[f189]) ).
cnf(s18,plain,
( ~ spl11_1
| ~ spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11 ),
inference(sat_conversion,[],[f263]) ).
cnf(s19,plain,
spl11_1,
inference(rat,[],[s7,s1,s2,s3]) ).
cnf(s20,plain,
spl11_11,
inference(rat,[],[s12,s19]) ).
cnf(s21,plain,
spl11_7,
inference(rat,[],[s6,s19]) ).
cnf(s22,plain,
spl11_6,
inference(rat,[],[s5,s19]) ).
cnf(s23,plain,
spl11_5,
inference(rat,[],[s4,s19]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s18,s20,s21,s22,s19,s23]) ).
fof(f264,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU356+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 04:53:55 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.46 % (1885012)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (1885021)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1418097173:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.46 % (1885018)% WARNING: option uhcvi not known.
% 0.16/0.46 % (1885017)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4164740295_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.46 % (1885018)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2501552210:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (1885019)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1783750785:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.46 % (1885020)dis+10_1_sil=32000:sp=arity:random_seed=1380668256:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.46 % (1885022)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1453827585:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % (1885023)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4277269375:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.46 % TRYING [1]
% 0.16/0.46 % TRYING [2]
% 0.16/0.46 % TRYING [3]
% 0.16/0.46 % (1885020) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1885012-1885020"...
% 0.16/0.46 % TRYING [4]
% 0.16/0.46 % (1885020)...printing done.
% 0.16/0.46 % (1885020)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (1885020)------------------------------
% 0.16/0.46 % (1885020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (1885020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (1885020)CaDiCaL version: 2.1.3
% 0.16/0.46 % (1885020)Termination reason: Refutation
% 0.16/0.46 % (1885020)Time elapsed: 0.009 s
% 0.16/0.46 % (1885020)Peak memory usage: 12 MB
% 0.16/0.46 % (1885020)Instructions burned: 11 (million)
% 0.16/0.46 % (1885012)Success in time 0.041 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------