%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU360+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 : n010.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 12:48:32 PM UTC 2026
% Result : Theorem 11.25s 2.47s
% Output : Refutation 11.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 15
% Syntax : Number of formulae : 127 ( 15 unt; 5 def)
% Number of atoms : 601 ( 12 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 804 ( 330 ~; 341 |; 89 &)
% ( 12 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 5 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 188 ( 0 sgn 171 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f127,axiom,
! [X0] :
( rel_str(X0)
=> ( lower_bounded_relstr(X0)
<=> ? [X1] :
( element(X1,the_carrier(X0))
& relstr_element_smaller(X0,the_carrier(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_yellow_0) ).
fof(f148,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X1)
=> related(X0,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattice3) ).
fof(f233,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f275,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f513,axiom,
! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( element(X2,the_carrier(X0))
& relstr_element_smaller(X0,X1,X2)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X3)
=> related(X0,X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_yellow_0) ).
fof(f527,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f565,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f572,axiom,
! [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(f603,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) )
=> ( ex_sup_of_relstr_set(X0,empty_set)
& ex_inf_of_relstr_set(X0,the_carrier(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_yellow_0) ).
fof(f604,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) )
=> ( ex_sup_of_relstr_set(X0,empty_set)
& ex_inf_of_relstr_set(X0,the_carrier(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f603]) ).
fof(f657,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ( relstr_set_smaller(X0,empty_set,X1)
& relstr_element_smaller(X0,empty_set,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_yellow_0) ).
fof(f725,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(f903,plain,
! [X0] :
( ( lower_bounded_relstr(X0)
<=> ? [X1] :
( element(X1,the_carrier(X0))
& relstr_element_smaller(X0,the_carrier(X0),X1) ) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f127]) ).
fof(f927,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f148]) ).
fof(f928,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f927]) ).
fof(f1015,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f233]) ).
fof(f1047,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f275]) ).
fof(f1048,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f1047]) ).
fof(f1334,plain,
! [X0] :
( ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( element(X2,the_carrier(X0))
& relstr_element_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f513]) ).
fof(f1335,plain,
! [X0] :
( ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( element(X2,the_carrier(X0))
& relstr_element_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f1334]) ).
fof(f1353,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f527]) ).
fof(f1410,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f565]) ).
fof(f1411,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f1410]) ).
fof(f1418,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)) ) )
| join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) )
& ( ( X1 = join_on_relstr(X0,X2)
& 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,[],[f725]) ).
fof(f1419,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)) ) )
| join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) )
& ( ( X1 = join_on_relstr(X0,X2)
& 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,[],[f1418]) ).
fof(f1446,plain,
? [X0] :
( ( ~ ex_sup_of_relstr_set(X0,empty_set)
| ~ ex_inf_of_relstr_set(X0,the_carrier(X0)) )
& ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) ),
inference(ennf_transformation,[],[f604]) ).
fof(f1447,plain,
? [X0] :
( ( ~ ex_sup_of_relstr_set(X0,empty_set)
| ~ ex_inf_of_relstr_set(X0,the_carrier(X0)) )
& ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) ),
inference(flattening,[],[f1446]) ).
fof(f1522,plain,
! [X0] :
( ! [X1] :
( ( relstr_set_smaller(X0,empty_set,X1)
& relstr_element_smaller(X0,empty_set,X1) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f657]) ).
fof(f1826,plain,
! [X0] :
( ( ( lower_bounded_relstr(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ~ relstr_element_smaller(X0,the_carrier(X0),X1) ) )
& ( ? [X1] :
( element(X1,the_carrier(X0))
& relstr_element_smaller(X0,the_carrier(X0),X1) )
| ~ lower_bounded_relstr(X0) ) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f903]) ).
fof(f1827,plain,
! [X0] :
( ( ( lower_bounded_relstr(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ~ relstr_element_smaller(X0,the_carrier(X0),X1) ) )
& ( ? [X2] :
( element(X2,the_carrier(X0))
& relstr_element_smaller(X0,the_carrier(X0),X2) )
| ~ lower_bounded_relstr(X0) ) )
| ~ rel_str(X0) ),
inference(rectify,[],[f1826]) ).
fof(f1828,plain,
! [X0] :
( ( ( lower_bounded_relstr(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ~ relstr_element_smaller(X0,the_carrier(X0),X1) ) )
& ( ( element(sK144(X0),the_carrier(X0))
& relstr_element_smaller(X0,the_carrier(X0),sK144(X0)) )
| ~ lower_bounded_relstr(X0) ) )
| ~ rel_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK144]),skolemize(X2,sK144(X0))],[f1827]) ).
fof(f1868,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& in(X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f928]) ).
fof(f1869,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& in(X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ! [X4] :
( related(X0,X2,X4)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(rectify,[],[f1868]) ).
fof(f1870,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ( ~ related(X0,X2,sK164(X0,X1,X2))
& in(sK164(X0,X1,X2),X1)
& element(sK164(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X4] :
( related(X0,X2,X4)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK164]),skolemize(X3,sK164(X0,X1,X2))],[f1869]) ).
fof(f2251,plain,
! [X0] :
( ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) ) ) )
& ( ? [X2] :
( element(X2,the_carrier(X0))
& relstr_element_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) )
| ~ ex_inf_of_relstr_set(X0,X1) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f1335]) ).
fof(f2252,plain,
! [X0] :
( ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) ) ) )
& ( ? [X4] :
( element(X4,the_carrier(X0))
& relstr_element_smaller(X0,X1,X4)
& ! [X5] :
( related(X0,X5,X4)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) ) )
| ~ ex_inf_of_relstr_set(X0,X1) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(rectify,[],[f2251]) ).
fof(f2253,plain,
! [X0] :
( ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2)
| ( ~ related(X0,sK490(X0,X1,X2),X2)
& relstr_element_smaller(X0,X1,sK490(X0,X1,X2))
& element(sK490(X0,X1,X2),the_carrier(X0)) ) ) )
& ( ( element(sK491(X0,X1),the_carrier(X0))
& relstr_element_smaller(X0,X1,sK491(X0,X1))
& ! [X5] :
( related(X0,X5,sK491(X0,X1))
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) ) )
| ~ ex_inf_of_relstr_set(X0,X1) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK490,sK491]),skolemize(X3,sK490(X0,X1,X2)),skolemize(X4,sK491(X0,X1))],[f2252]) ).
fof(f2274,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)) ) )
| join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) )
& ( ( X1 = join_on_relstr(X0,X2)
& ex_sup_of_relstr_set(X0,X2) )
| ~ relstr_set_smaller(X0,X2,X1)
| ( ~ related(X0,X1,sK501(X0,X1,X2))
& relstr_set_smaller(X0,X2,sK501(X0,X1,X2))
& element(sK501(X0,X1,X2),the_carrier(X0)) ) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK501]),skolemize(X4,sK501(X0,X1,X2))],[f1419]) ).
fof(f2296,plain,
( ( ~ ex_sup_of_relstr_set(sK508,empty_set)
| ~ ex_inf_of_relstr_set(sK508,the_carrier(sK508)) )
& ~ empty_carrier(sK508)
& antisymmetric_relstr(sK508)
& lower_bounded_relstr(sK508)
& rel_str(sK508) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK508]),skolemize(X0,sK508)],[f1447]) ).
fof(f2750,plain,
! [X0] :
( relstr_element_smaller(X0,the_carrier(X0),sK144(X0))
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1828]) ).
fof(f2751,plain,
! [X0] :
( element(sK144(X0),the_carrier(X0))
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1828]) ).
fof(f2837,plain,
! [X2,X0,X1,X4] :
( ~ relstr_element_smaller(X0,X1,X2)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0))
| related(X0,X2,X4)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1870]) ).
fof(f2958,plain,
! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1015]) ).
fof(f3021,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1048]) ).
fof(f3958,plain,
! [X2,X0,X1] :
( element(sK490(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2)
| ex_inf_of_relstr_set(X0,X1)
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f2253]) ).
fof(f3959,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X0,X1,sK490(X0,X1,X2))
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2)
| ex_inf_of_relstr_set(X0,X1)
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f2253]) ).
fof(f3960,plain,
! [X2,X0,X1] :
( ~ related(X0,sK490(X0,X1,X2),X2)
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2)
| ex_inf_of_relstr_set(X0,X1)
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f2253]) ).
fof(f3978,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f1353]) ).
fof(f4037,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f1411]) ).
fof(f4048,plain,
! [X2,X0,X1] :
( element(sK501(X0,X1,X2),the_carrier(X0))
| ~ relstr_set_smaller(X0,X2,X1)
| ex_sup_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f2274]) ).
fof(f4050,plain,
! [X2,X0,X1] :
( ~ related(X0,X1,sK501(X0,X1,X2))
| ~ relstr_set_smaller(X0,X2,X1)
| ex_sup_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f2274]) ).
fof(f4111,plain,
rel_str(sK508),
inference(cnf_transformation,[],[f2296]) ).
fof(f4112,plain,
lower_bounded_relstr(sK508),
inference(cnf_transformation,[],[f2296]) ).
fof(f4113,plain,
antisymmetric_relstr(sK508),
inference(cnf_transformation,[],[f2296]) ).
fof(f4114,plain,
~ empty_carrier(sK508),
inference(cnf_transformation,[],[f2296]) ).
fof(f4115,plain,
( ~ ex_sup_of_relstr_set(sK508,empty_set)
| ~ ex_inf_of_relstr_set(sK508,the_carrier(sK508)) ),
inference(cnf_transformation,[],[f2296]) ).
fof(f4210,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(X0))
| relstr_set_smaller(X0,empty_set,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1522]) ).
fof(f5226,definition,
sF521 = the_carrier(sK508),
introduced(definition,[new_symbols(definition,[sF521])],[function_definition]) ).
fof(f5227,plain,
the_carrier(sK508) = sF521,
inference(reorient_equations,[],[f5226]) ).
fof(f5228,plain,
( ~ ex_sup_of_relstr_set(sK508,empty_set)
| ~ ex_inf_of_relstr_set(sK508,sF521) ),
inference(definition_folding,[],[f4115,f5227]) ).
fof(f5265,definition,
( spl522_5
<=> ex_inf_of_relstr_set(sK508,sF521) ),
introduced(definition,[new_symbols(definition,[spl522_5])],[avatar_definition]) ).
fof(f5269,definition,
( spl522_6
<=> ex_sup_of_relstr_set(sK508,empty_set) ),
introduced(definition,[new_symbols(definition,[spl522_6])],[avatar_definition]) ).
fof(f5271,plain,
( ~ ex_sup_of_relstr_set(sK508,empty_set)
| spl522_6 ),
inference(avatar_component_clause,[],[f5269]) ).
fof(f5272,plain,
( ~ spl522_5
| ~ spl522_6 ),
inference(avatar_split_clause,[],[f5228,f5269,f5265]) ).
fof(f5582,plain,
one_sorted_str(sK508),
inference(resolution,[],[f2958,f4111]) ).
fof(f5596,plain,
( ~ empty(sF521)
| empty_carrier(sK508)
| ~ one_sorted_str(sK508) ),
inference(superposition,[],[f3021,f5227]) ).
fof(f5597,plain,
( ~ empty(sF521)
| ~ one_sorted_str(sK508) ),
inference(forward_subsumption_resolution,[],[f5596,f4114]) ).
fof(f5598,plain,
~ empty(sF521),
inference(forward_subsumption_resolution,[],[f5597,f5582]) ).
fof(f5666,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,X1)
| ~ element(X0,the_carrier(X2))
| related(X2,sK490(X2,X1,X3),X0)
| ~ element(sK490(X2,X1,X3),the_carrier(X2))
| ~ rel_str(X2)
| ~ element(X3,the_carrier(X2))
| ~ relstr_element_smaller(X2,X1,X3)
| ex_inf_of_relstr_set(X2,X1)
| ~ antisymmetric_relstr(X2)
| ~ rel_str(X2) ),
inference(resolution,[],[f2837,f3959]) ).
fof(f5668,plain,
! [X0,X1] :
( ~ in(X0,the_carrier(X1))
| ~ element(X0,the_carrier(X1))
| related(X1,sK144(X1),X0)
| ~ element(sK144(X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1)
| ~ rel_str(X1) ),
inference(resolution,[],[f2837,f2750]) ).
fof(f5670,plain,
! [X0,X1] :
( ~ in(X0,the_carrier(X1))
| ~ element(X0,the_carrier(X1))
| related(X1,sK144(X1),X0)
| ~ element(sK144(X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1) ),
inference(duplicate_literal_removal,[],[f5668]) ).
fof(f5672,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,X1)
| ~ element(X0,the_carrier(X2))
| related(X2,sK490(X2,X1,X3),X0)
| ~ element(sK490(X2,X1,X3),the_carrier(X2))
| ~ rel_str(X2)
| ~ element(X3,the_carrier(X2))
| ~ relstr_element_smaller(X2,X1,X3)
| ex_inf_of_relstr_set(X2,X1)
| ~ antisymmetric_relstr(X2) ),
inference(duplicate_literal_removal,[],[f5666]) ).
fof(f5674,plain,
! [X0,X1] :
( ~ in(X0,the_carrier(X1))
| related(X1,sK144(X1),X0)
| ~ element(sK144(X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1) ),
inference(forward_subsumption_resolution,[],[f5670,f3978]) ).
fof(f5676,plain,
! [X2,X3,X0,X1] :
( related(X2,sK490(X2,X1,X3),X0)
| ~ element(X0,the_carrier(X2))
| ~ in(X0,X1)
| ~ rel_str(X2)
| ~ element(X3,the_carrier(X2))
| ~ relstr_element_smaller(X2,X1,X3)
| ex_inf_of_relstr_set(X2,X1)
| ~ antisymmetric_relstr(X2) ),
inference(forward_subsumption_resolution,[],[f5672,f3958]) ).
fof(f5678,plain,
! [X0,X1] :
( related(X1,sK144(X1),X0)
| ~ in(X0,the_carrier(X1))
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1) ),
inference(forward_subsumption_resolution,[],[f5674,f2751]) ).
fof(f5685,definition,
( spl522_62
<=> element(sK144(sK508),sF521) ),
introduced(definition,[new_symbols(definition,[spl522_62])],[avatar_definition]) ).
fof(f5686,plain,
( element(sK144(sK508),sF521)
| ~ spl522_62 ),
inference(avatar_component_clause,[],[f5685]) ).
fof(f5687,plain,
( ~ element(sK144(sK508),sF521)
| spl522_62 ),
inference(avatar_component_clause,[],[f5685]) ).
fof(f5689,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ in(X0,X2)
| ~ rel_str(X1)
| ~ element(X0,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X0)
| ex_inf_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ element(X0,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X0)
| ex_inf_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1) ),
inference(resolution,[],[f5676,f3960]) ).
fof(f5698,plain,
! [X2,X0,X1] :
( ~ relstr_element_smaller(X1,X2,X0)
| ~ in(X0,X2)
| ~ rel_str(X1)
| ~ element(X0,the_carrier(X1))
| ex_inf_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1) ),
inference(duplicate_literal_removal,[],[f5689]) ).
fof(f5707,plain,
! [X0] :
( ~ in(sK144(X0),the_carrier(X0))
| ~ rel_str(X0)
| ~ element(sK144(X0),the_carrier(X0))
| ex_inf_of_relstr_set(X0,the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f5698,f2750]) ).
fof(f5709,plain,
! [X0] :
( ~ in(sK144(X0),the_carrier(X0))
| ~ rel_str(X0)
| ~ element(sK144(X0),the_carrier(X0))
| ex_inf_of_relstr_set(X0,the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0) ),
inference(duplicate_literal_removal,[],[f5707]) ).
fof(f5713,plain,
! [X0] :
( ~ in(sK144(X0),the_carrier(X0))
| ~ rel_str(X0)
| ex_inf_of_relstr_set(X0,the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0) ),
inference(forward_subsumption_resolution,[],[f5709,f3978]) ).
fof(f5719,plain,
! [X0,X1] :
( ~ in(sK501(X0,sK144(X0),X1),the_carrier(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ relstr_set_smaller(X0,X1,sK144(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ element(sK144(X0),the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f5678,f4050]) ).
fof(f5724,plain,
! [X0,X1] :
( ~ in(sK501(X0,sK144(X0),X1),the_carrier(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ relstr_set_smaller(X0,X1,sK144(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ element(sK144(X0),the_carrier(X0))
| ~ antisymmetric_relstr(X0) ),
inference(duplicate_literal_removal,[],[f5719]) ).
fof(f5728,plain,
! [X0,X1] :
( ~ in(sK501(X0,sK144(X0),X1),the_carrier(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ relstr_set_smaller(X0,X1,sK144(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ antisymmetric_relstr(X0) ),
inference(forward_subsumption_resolution,[],[f5724,f2751]) ).
fof(f5789,plain,
( ~ in(sK144(sK508),sF521)
| ~ rel_str(sK508)
| ex_inf_of_relstr_set(sK508,sF521)
| ~ antisymmetric_relstr(sK508)
| ~ lower_bounded_relstr(sK508) ),
inference(superposition,[],[f5713,f5227]) ).
fof(f5790,plain,
( ~ in(sK144(sK508),sF521)
| ex_inf_of_relstr_set(sK508,sF521)
| ~ antisymmetric_relstr(sK508)
| ~ lower_bounded_relstr(sK508) ),
inference(forward_subsumption_resolution,[],[f5789,f4111]) ).
fof(f5791,plain,
( ~ in(sK144(sK508),sF521)
| ex_inf_of_relstr_set(sK508,sF521)
| ~ lower_bounded_relstr(sK508) ),
inference(forward_subsumption_resolution,[],[f5790,f4113]) ).
fof(f5792,plain,
( ~ in(sK144(sK508),sF521)
| ex_inf_of_relstr_set(sK508,sF521) ),
inference(forward_subsumption_resolution,[],[f5791,f4112]) ).
fof(f5794,definition,
( spl522_66
<=> in(sK144(sK508),sF521) ),
introduced(definition,[new_symbols(definition,[spl522_66])],[avatar_definition]) ).
fof(f5796,plain,
( ~ in(sK144(sK508),sF521)
| spl522_66 ),
inference(avatar_component_clause,[],[f5794]) ).
fof(f5797,plain,
( spl522_5
| ~ spl522_66 ),
inference(avatar_split_clause,[],[f5792,f5794,f5265]) ).
fof(f5814,plain,
! [X0] :
( ~ element(X0,sF521)
| relstr_set_smaller(sK508,empty_set,X0)
| ~ rel_str(sK508) ),
inference(superposition,[],[f4210,f5227]) ).
fof(f5820,plain,
! [X0] :
( relstr_set_smaller(sK508,empty_set,X0)
| ~ element(X0,sF521) ),
inference(forward_subsumption_resolution,[],[f5814,f4111]) ).
fof(f5834,plain,
( element(sK144(sK508),sF521)
| ~ lower_bounded_relstr(sK508)
| ~ rel_str(sK508) ),
inference(superposition,[],[f2751,f5227]) ).
fof(f5836,plain,
( ~ lower_bounded_relstr(sK508)
| ~ rel_str(sK508)
| spl522_62 ),
inference(forward_subsumption_resolution,[],[f5834,f5687]) ).
fof(f5837,plain,
( ~ rel_str(sK508)
| spl522_62 ),
inference(forward_subsumption_resolution,[],[f5836,f4112]) ).
fof(f5838,plain,
( $false
| spl522_62 ),
inference(forward_subsumption_resolution,[],[f5837,f4111]) ).
fof(f5839,plain,
spl522_62,
inference(avatar_contradiction_clause,[],[f5838]) ).
fof(f5954,plain,
( in(sK144(sK508),sF521)
| empty(sF521)
| ~ spl522_62 ),
inference(resolution,[],[f4037,f5686]) ).
fof(f5963,plain,
! [X2,X0,X1] :
( in(sK501(X0,X1,X2),the_carrier(X0))
| empty(the_carrier(X0))
| ~ relstr_set_smaller(X0,X2,X1)
| ex_sup_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f4037,f4048]) ).
fof(f5970,plain,
( empty(sF521)
| ~ spl522_62
| spl522_66 ),
inference(forward_subsumption_resolution,[],[f5954,f5796]) ).
fof(f5972,plain,
( $false
| ~ spl522_62
| spl522_66 ),
inference(forward_subsumption_resolution,[],[f5970,f5598]) ).
fof(f5973,plain,
( ~ spl522_62
| spl522_66 ),
inference(avatar_contradiction_clause,[],[f5972]) ).
fof(f6492,plain,
! [X0,X1] :
( empty(the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,sK144(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ element(sK144(X0),the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ relstr_set_smaller(X0,X1,sK144(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ antisymmetric_relstr(X0) ),
inference(resolution,[],[f5963,f5728]) ).
fof(f6504,plain,
! [X0,X1] :
( empty(the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,sK144(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ element(sK144(X0),the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0) ),
inference(duplicate_literal_removal,[],[f6492]) ).
fof(f6506,plain,
! [X0,X1] :
( ~ relstr_set_smaller(X0,X1,sK144(X0))
| empty(the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0) ),
inference(forward_subsumption_resolution,[],[f6504,f2751]) ).
fof(f6507,plain,
( empty(the_carrier(sK508))
| ex_sup_of_relstr_set(sK508,empty_set)
| ~ antisymmetric_relstr(sK508)
| ~ rel_str(sK508)
| ~ lower_bounded_relstr(sK508)
| ~ element(sK144(sK508),sF521) ),
inference(resolution,[],[f6506,f5820]) ).
fof(f6508,plain,
( empty(the_carrier(sK508))
| ~ antisymmetric_relstr(sK508)
| ~ rel_str(sK508)
| ~ lower_bounded_relstr(sK508)
| ~ element(sK144(sK508),sF521)
| spl522_6 ),
inference(forward_subsumption_resolution,[],[f6507,f5271]) ).
fof(f6509,plain,
( empty(the_carrier(sK508))
| ~ rel_str(sK508)
| ~ lower_bounded_relstr(sK508)
| ~ element(sK144(sK508),sF521)
| spl522_6 ),
inference(forward_subsumption_resolution,[],[f6508,f4113]) ).
fof(f6510,plain,
( empty(the_carrier(sK508))
| ~ lower_bounded_relstr(sK508)
| ~ element(sK144(sK508),sF521)
| spl522_6 ),
inference(forward_subsumption_resolution,[],[f6509,f4111]) ).
fof(f6511,plain,
( empty(the_carrier(sK508))
| ~ element(sK144(sK508),sF521)
| spl522_6 ),
inference(forward_subsumption_resolution,[],[f6510,f4112]) ).
fof(f6512,plain,
( empty(the_carrier(sK508))
| spl522_6
| ~ spl522_62 ),
inference(forward_subsumption_resolution,[],[f6511,f5686]) ).
fof(f6513,plain,
( empty(sF521)
| spl522_6
| ~ spl522_62 ),
inference(forward_demodulation,[],[f6512,f5227]) ).
fof(f6514,plain,
( $false
| spl522_6
| ~ spl522_62 ),
inference(forward_subsumption_resolution,[],[f6513,f5598]) ).
fof(f6515,plain,
( spl522_6
| ~ spl522_62 ),
inference(avatar_contradiction_clause,[],[f6514]) ).
cnf(s3,plain,
( ~ spl522_5
| ~ spl522_6 ),
inference(sat_conversion,[],[f5272]) ).
cnf(s52,plain,
( spl522_5
| ~ spl522_66 ),
inference(sat_conversion,[],[f5797]) ).
cnf(s53,plain,
spl522_62,
inference(sat_conversion,[],[f5839]) ).
cnf(s56,plain,
( ~ spl522_62
| spl522_66 ),
inference(sat_conversion,[],[f5973]) ).
cnf(s65,plain,
( spl522_6
| ~ spl522_62 ),
inference(sat_conversion,[],[f6515]) ).
cnf(s68,plain,
spl522_6,
inference(rat,[],[s65,s53]) ).
cnf(s69,plain,
spl522_66,
inference(rat,[],[s56,s53]) ).
cnf(s70,plain,
spl522_5,
inference(rat,[],[s52,s69]) ).
cnf(s72,plain,
$false,
inference(rat,[],[s3,s68,s70]) ).
fof(f6516,plain,
$false,
inference(avatar_sat_refutation,[],[s72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU360+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 04:54:32 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 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
% 11.25/2.46 % (1565962)Detected formulas, will run a generic FOF schedule.
% 11.25/2.46 % (1565969)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=3853019300:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.25/2.46 % (1565970)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1764984249:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.25/2.46 % (1565973)dis-21_1_sil=8000:lcm=predicate:random_seed=1874137221: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)
% 11.25/2.46 % (1565967)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=343621366:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.25/2.46 % (1565972)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2705175529:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.25/2.46 % (1565971)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1879846186:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.25/2.46 % (1565968)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=3703017955:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.25/2.46 % (1565970)Instruction limit reached!
% 11.25/2.46 % (1565970)------------------------------
% 11.25/2.46 % (1565970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.46 % (1565970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.46 % (1565970)CaDiCaL version: 2.1.3
% 11.25/2.46 % (1565970)Termination reason: Instruction limit
% 11.25/2.46 % (1565970)Termination phase: Saturation
% 11.25/2.46 % (1565970)Time elapsed: 0.059 s
% 11.25/2.46 % (1565970)Peak memory usage: 91 MB
% 11.25/2.46 % (1565970)Instructions burned: 110 (million)
% 11.25/2.46 % (1565973)Instruction limit reached!
% 11.25/2.46 % (1565973)------------------------------
% 11.25/2.46 % (1565973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.46 % (1565973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.46 % (1565973)CaDiCaL version: 2.1.3
% 11.25/2.46 % (1565973)Termination reason: Instruction limit
% 11.25/2.46 % (1565973)Termination phase: Saturation
% 11.25/2.46 % (1565973)Time elapsed: 0.066 s
% 11.25/2.46 % (1565973)Peak memory usage: 91 MB
% 11.25/2.46 % (1565973)Instructions burned: 130 (million)
% 11.25/2.46 % (1565971)Instruction limit reached!
% 11.25/2.46 % (1565971)------------------------------
% 11.25/2.46 % (1565971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.46 % (1565971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.46 % (1565971)CaDiCaL version: 2.1.3
% 11.25/2.46 % (1565971)Termination reason: Instruction limit
% 11.25/2.46 % (1565971)Termination phase: Saturation
% 11.25/2.46 % (1565971)Time elapsed: 0.075 s
% 11.25/2.46 % (1565971)Peak memory usage: 91 MB
% 11.25/2.46 % (1565971)Instructions burned: 119 (million)
% 11.25/2.46 % (1565972)Instruction limit reached!
% 11.25/2.46 % (1565972)------------------------------
% 11.25/2.46 % (1565972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.46 % (1565972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.46 % (1565972)CaDiCaL version: 2.1.3
% 11.25/2.46 % (1565972)Termination reason: Instruction limit
% 11.25/2.46 % (1565972)Termination phase: Saturation
% 11.25/2.46 % (1565972)Time elapsed: 0.087 s
% 11.25/2.46 % (1565972)Peak memory usage: 92 MB
% 11.25/2.46 % (1565972)Instructions burned: 139 (million)
% 11.25/2.46 % (1565983)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1410951737:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.25/2.46 % (1565982)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2281696266:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.25/2.46 % (1565981)lrs+10_1_sil=8000:sp=occurrence:random_seed=1971590793:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.25/2.46 % (1565984)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=694751640:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.25/2.46 % (1565982)Instruction limit reached!
% 11.25/2.46 % (1565982)------------------------------
% 11.25/2.46 % (1565982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.46 % (1565982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.46 % (1565982)CaDiCaL version: 2.1.3
% 11.25/2.46 % (1565982)Termination reason: Instruction limit
% 11.25/2.46 % (1565982)Termination phase: Saturation
% 11.25/2.46 % (1565982)Time elapsed: 0.081 s
% 11.25/2.46 % (1565982)Peak memory usage: 89 MB
% 11.25/2.46 % (1565982)Instructions burned: 159 (million)
% 11.25/2.46 % (1565984)Instruction limit reached!
% 11.25/2.46 % (1565984)------------------------------
% 11.25/2.46 % (1565984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.46 % (1565984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.46 % (1565984)CaDiCaL version: 2.1.3
% 11.25/2.46 % (1565984)Termination reason: Instruction limit
% 11.25/2.46 % (1565984)Termination phase: Saturation
% 11.25/2.46 % (1565984)Time elapsed: 0.144 s
% 11.25/2.46 % (1565984)Peak memory usage: 93 MB
% 11.25/2.46 % (1565984)Instructions burned: 248 (million)
% 11.25/2.46 % (1565981)Instruction limit reached!
% 11.25/2.46 % (1565981)------------------------------
% 11.25/2.46 % (1565981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.46 % (1565981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.46 % (1565981)CaDiCaL version: 2.1.3
% 11.25/2.46 % (1565981)Termination reason: Instruction limit
% 11.25/2.46 % (1565981)Termination phase: Saturation
% 11.25/2.46 % (1565981)Time elapsed: 0.180 s
% 11.25/2.46 % (1565981)Peak memory usage: 95 MB
% 11.25/2.46 % (1565981)Instructions burned: 285 (million)
% 11.25/2.46 % (1565983)Instruction limit reached!
% 11.25/2.46 % (1565983)------------------------------
% 11.25/2.46 % (1565983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.46 % (1565983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.46 % (1565983)CaDiCaL version: 2.1.3
% 11.25/2.46 % (1565983)Termination reason: Instruction limit
% 11.25/2.46 % (1565983)Termination phase: Saturation
% 11.25/2.46 % (1565983)Time elapsed: 0.216 s
% 11.25/2.46 % (1565983)Peak memory usage: 95 MB
% 11.25/2.46 % (1565983)Instructions burned: 325 (million)
% 11.25/2.46 % (1565989)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1382608953:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.25/2.46 % (1565990)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=591300838:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.25/2.46 % (1565991)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1015828225:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.25/2.46 % (1565992)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1249033713:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 11.25/2.46 % (1565991)Instruction limit reached!
% 11.25/2.46 % (1565991)------------------------------
% 11.25/2.46 % (1565991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.46 % (1565991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.46 % (1565991)CaDiCaL version: 2.1.3
% 11.25/2.46 % (1565991)Termination reason: Instruction limit
% 11.25/2.46 % (1565991)Termination phase: Saturation
% 11.25/2.46 % (1565991)Time elapsed: 0.065 s
% 11.25/2.46 % (1565991)Peak memory usage: 92 MB
% 11.25/2.46 % (1565991)Instructions burned: 115 (million)
% 11.25/2.46 % (1565989)Instruction limit reached!
% 11.25/2.46 % (1565989)------------------------------
% 11.25/2.46 % (1565989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.46 % (1565989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.46 % (1565989)CaDiCaL version: 2.1.3
% 11.25/2.46 % (1565989)Termination reason: Instruction limit
% 11.25/2.46 % (1565989)Termination phase: Saturation
% 11.25/2.46 % (1565989)Time elapsed: 0.183 s
% 11.25/2.46 % (1565989)Peak memory usage: 93 MB
% 11.25/2.46 % (1565989)Instructions burned: 295 (million)
% 11.25/2.46 % (1565992)Instruction limit reached!
% 11.25/2.46 % (1565992)------------------------------
% 11.25/2.46 % (1565992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.46 % (1565992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.46 % (1565992)CaDiCaL version: 2.1.3
% 11.25/2.46 % (1565992)Termination reason: Instruction limit
% 11.25/2.46 % (1565992)Termination phase: Saturation
% 11.25/2.47 % (1565992)Time elapsed: 0.070 s
% 11.25/2.47 % (1565992)Peak memory usage: 91 MB
% 11.25/2.47 % (1565992)Instructions burned: 127 (million)
% 11.25/2.47 % (1565997)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2320722793:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 11.25/2.47 % (1565998)lrs+10_1_sil=8000:sp=occurrence:random_seed=106936908:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.25/2.47 % (1565999)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=257290289:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.25/2.47 % (1565997)Instruction limit reached!
% 11.25/2.47 % (1565997)------------------------------
% 11.25/2.47 % (1565997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (1565997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (1565997)CaDiCaL version: 2.1.3
% 11.25/2.47 % (1565997)Termination reason: Instruction limit
% 11.25/2.47 % (1565997)Termination phase: Saturation
% 11.25/2.47 % (1565997)Time elapsed: 0.064 s
% 11.25/2.47 % (1565997)Peak memory usage: 89 MB
% 11.25/2.47 % (1565997)Instructions burned: 116 (million)
% 11.25/2.47 % (1566003)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2143323320:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 11.25/2.47 % (1565999)Instruction limit reached!
% 11.25/2.47 % (1565999)------------------------------
% 11.25/2.47 % (1565999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (1565999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (1565999)CaDiCaL version: 2.1.3
% 11.25/2.47 % (1565999)Termination reason: Instruction limit
% 11.25/2.47 % (1565999)Termination phase: Saturation
% 11.25/2.47 % (1565999)Time elapsed: 0.264 s
% 11.25/2.47 % (1565999)Peak memory usage: 95 MB
% 11.25/2.47 % (1565999)Instructions burned: 437 (million)
% 11.25/2.47 % (1565967)First to succeed.
% 11.25/2.47 % (1565967)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1565962"
% 11.25/2.47 % (1566005)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3467375337:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 11.25/2.47 % (1566005)Instruction limit reached!
% 11.25/2.47 % (1566005)------------------------------
% 11.25/2.47 % (1566005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (1566005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (1566005)CaDiCaL version: 2.1.3
% 11.25/2.47 % (1566005)Termination reason: Instruction limit
% 11.25/2.47 % (1566005)Termination phase: Saturation
% 11.25/2.47 % (1566005)Time elapsed: 0.068 s
% 11.25/2.47 % (1566005)Peak memory usage: 92 MB
% 11.25/2.47 % (1566005)Instructions burned: 135 (million)
% 11.25/2.47 % (1565998)Instruction limit reached!
% 11.25/2.47 % (1565998)------------------------------
% 11.25/2.47 % (1565998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.47 % (1565998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.47 % (1565998)CaDiCaL version: 2.1.3
% 11.25/2.47 % (1565998)Termination reason: Instruction limit
% 11.25/2.47 % (1565998)Termination phase: Saturation
% 11.25/2.47 % (1565998)Time elapsed: 0.571 s
% 11.25/2.47 % (1565998)Peak memory usage: 104 MB
% 11.25/2.47 % (1565998)Instructions burned: 908 (million)
% 11.25/2.47 % (1565967)Refutation found. Thanks to Tanya!
% 11.25/2.47 % SZS status Theorem for theBenchmark
% 11.25/2.47 % SZS output start Proof for theBenchmark
% See solution above
% 11.85/2.66 % (1565967)------------------------------
% 11.85/2.66 % (1565967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.85/2.66 % (1565967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.85/2.66 % (1565967)CaDiCaL version: 2.1.3
% 11.85/2.66 % (1565967)Termination reason: Refutation
% 11.85/2.66 % (1565967)Time elapsed: 1.145 s
% 11.85/2.66 % (1565967)Peak memory usage: 148 MB
% 11.85/2.66 % (1565967)Instructions burned: 1859 (million)
% 11.85/2.66 % (1565967)------------------------------
% 11.85/2.66 % (1565967)------------------------------
% 11.85/2.66 % (1565962)Success in time 1.615 s
% 11.85/2.66 % Vampire exiting
%------------------------------------------------------------------------------