TSTP Solution File: SEU360+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU360+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:33:25 EDT 2022
% Result : Theorem 1.57s 0.55s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 24
% Syntax : Number of formulae : 123 ( 9 unt; 0 def)
% Number of atoms : 664 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 913 ( 372 ~; 378 |; 114 &)
% ( 20 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 9 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 219 ( 190 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f611,plain,
$false,
inference(avatar_sat_refutation,[],[f141,f470,f476,f484,f503,f563,f602,f605,f610]) ).
fof(f610,plain,
~ spl14_11,
inference(avatar_contradiction_clause,[],[f609]) ).
fof(f609,plain,
( $false
| ~ spl14_11 ),
inference(resolution,[],[f601,f122]) ).
fof(f122,plain,
~ empty_carrier(sK9),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( ~ ex_inf_of_relstr_set(sK9,the_carrier(sK9))
| ~ ex_sup_of_relstr_set(sK9,empty_set) )
& lower_bounded_relstr(sK9)
& ~ empty_carrier(sK9)
& antisymmetric_relstr(sK9)
& rel_str(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f46,f80]) ).
fof(f80,plain,
( ? [X0] :
( ( ~ ex_inf_of_relstr_set(X0,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,empty_set) )
& lower_bounded_relstr(X0)
& ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& rel_str(X0) )
=> ( ( ~ ex_inf_of_relstr_set(sK9,the_carrier(sK9))
| ~ ex_sup_of_relstr_set(sK9,empty_set) )
& lower_bounded_relstr(sK9)
& ~ empty_carrier(sK9)
& antisymmetric_relstr(sK9)
& rel_str(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0] :
( ( ~ ex_inf_of_relstr_set(X0,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,empty_set) )
& lower_bounded_relstr(X0)
& ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& rel_str(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
? [X0] :
( ( ~ ex_inf_of_relstr_set(X0,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,empty_set) )
& lower_bounded_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X0] :
( ( lower_bounded_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0)
& antisymmetric_relstr(X0) )
=> ( ex_inf_of_relstr_set(X0,the_carrier(X0))
& ex_sup_of_relstr_set(X0,empty_set) ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X0] :
( ( lower_bounded_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0)
& antisymmetric_relstr(X0) )
=> ( ex_inf_of_relstr_set(X0,the_carrier(X0))
& ex_sup_of_relstr_set(X0,empty_set) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_yellow_0) ).
fof(f601,plain,
( empty_carrier(sK9)
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f599,plain,
( spl14_11
<=> empty_carrier(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f605,plain,
( ~ spl14_4
| spl14_10 ),
inference(avatar_split_clause,[],[f604,f595,f457]) ).
fof(f457,plain,
( spl14_4
<=> rel_str(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f595,plain,
( spl14_10
<=> one_sorted_str(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f604,plain,
( ~ rel_str(sK9)
| spl14_10 ),
inference(resolution,[],[f597,f129]) ).
fof(f129,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f597,plain,
( ~ one_sorted_str(sK9)
| spl14_10 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f602,plain,
( ~ spl14_10
| spl14_11
| ~ spl14_7 ),
inference(avatar_split_clause,[],[f589,f500,f599,f595]) ).
fof(f500,plain,
( spl14_7
<=> empty(the_carrier(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f589,plain,
( empty_carrier(sK9)
| ~ one_sorted_str(sK9)
| ~ spl14_7 ),
inference(resolution,[],[f502,f90]) ).
fof(f90,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f502,plain,
( empty(the_carrier(sK9))
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f563,plain,
( spl14_7
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| spl14_2 ),
inference(avatar_split_clause,[],[f561,f138,f461,f457,f453,f500]) ).
fof(f453,plain,
( spl14_3
<=> lower_bounded_relstr(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f461,plain,
( spl14_5
<=> antisymmetric_relstr(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f138,plain,
( spl14_2
<=> ex_sup_of_relstr_set(sK9,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f561,plain,
( ~ antisymmetric_relstr(sK9)
| ~ rel_str(sK9)
| ~ lower_bounded_relstr(sK9)
| empty(the_carrier(sK9))
| spl14_2 ),
inference(resolution,[],[f559,f140]) ).
fof(f140,plain,
( ~ ex_sup_of_relstr_set(sK9,empty_set)
| spl14_2 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f559,plain,
! [X0] :
( ex_sup_of_relstr_set(X0,empty_set)
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| empty(the_carrier(X0))
| ~ antisymmetric_relstr(X0) ),
inference(duplicate_literal_removal,[],[f557]) ).
fof(f557,plain,
! [X0] :
( ex_sup_of_relstr_set(X0,empty_set)
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0)
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| empty(the_carrier(X0)) ),
inference(resolution,[],[f517,f103]) ).
fof(f103,plain,
! [X0] :
( element(sK4(X0),the_carrier(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ~ rel_str(X0)
| ( ( ( relstr_element_smaller(X0,the_carrier(X0),sK4(X0))
& element(sK4(X0),the_carrier(X0)) )
| ~ lower_bounded_relstr(X0) )
& ( lower_bounded_relstr(X0)
| ! [X2] :
( ~ relstr_element_smaller(X0,the_carrier(X0),X2)
| ~ element(X2,the_carrier(X0)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f66,f67]) ).
fof(f67,plain,
! [X0] :
( ? [X1] :
( relstr_element_smaller(X0,the_carrier(X0),X1)
& element(X1,the_carrier(X0)) )
=> ( relstr_element_smaller(X0,the_carrier(X0),sK4(X0))
& element(sK4(X0),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0] :
( ~ rel_str(X0)
| ( ( ? [X1] :
( relstr_element_smaller(X0,the_carrier(X0),X1)
& element(X1,the_carrier(X0)) )
| ~ lower_bounded_relstr(X0) )
& ( lower_bounded_relstr(X0)
| ! [X2] :
( ~ relstr_element_smaller(X0,the_carrier(X0),X2)
| ~ element(X2,the_carrier(X0)) ) ) ) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ~ rel_str(X0)
| ( ( ? [X1] :
( relstr_element_smaller(X0,the_carrier(X0),X1)
& element(X1,the_carrier(X0)) )
| ~ lower_bounded_relstr(X0) )
& ( lower_bounded_relstr(X0)
| ! [X1] :
( ~ relstr_element_smaller(X0,the_carrier(X0),X1)
| ~ element(X1,the_carrier(X0)) ) ) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ~ rel_str(X0)
| ( ? [X1] :
( relstr_element_smaller(X0,the_carrier(X0),X1)
& element(X1,the_carrier(X0)) )
<=> lower_bounded_relstr(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( rel_str(X0)
=> ( ? [X1] :
( relstr_element_smaller(X0,the_carrier(X0),X1)
& element(X1,the_carrier(X0)) )
<=> lower_bounded_relstr(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_yellow_0) ).
fof(f517,plain,
! [X0] :
( ~ element(sK4(X0),the_carrier(X0))
| ~ rel_str(X0)
| ex_sup_of_relstr_set(X0,empty_set)
| empty(the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0) ),
inference(duplicate_literal_removal,[],[f516]) ).
fof(f516,plain,
! [X0] :
( ~ lower_bounded_relstr(X0)
| ~ element(sK4(X0),the_carrier(X0))
| ex_sup_of_relstr_set(X0,empty_set)
| empty(the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ~ rel_str(X0)
| ~ element(sK4(X0),the_carrier(X0)) ),
inference(resolution,[],[f399,f101]) ).
fof(f101,plain,
! [X0,X1] :
( relstr_set_smaller(X0,empty_set,X1)
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( relstr_set_smaller(X0,empty_set,X1)
& relstr_element_smaller(X0,empty_set,X1) )
| ~ element(X1,the_carrier(X0)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,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/sandbox2/benchmark/theBenchmark.p',t6_yellow_0) ).
fof(f399,plain,
! [X0,X1] :
( ~ relstr_set_smaller(X0,X1,sK4(X0))
| empty(the_carrier(X0))
| ~ element(sK4(X0),the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ex_sup_of_relstr_set(X0,X1)
| ~ lower_bounded_relstr(X0) ),
inference(duplicate_literal_removal,[],[f398]) ).
fof(f398,plain,
! [X0,X1] :
( ~ antisymmetric_relstr(X0)
| ~ element(sK4(X0),the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ element(sK4(X0),the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,sK4(X0))
| empty(the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,sK4(X0))
| ex_sup_of_relstr_set(X0,X1)
| ex_sup_of_relstr_set(X0,X1)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f330,f174]) ).
fof(f174,plain,
! [X2,X0,X1] :
( in(sK6(X0,X1,X2),the_carrier(X0))
| ~ rel_str(X0)
| ex_sup_of_relstr_set(X0,X1)
| ~ antisymmetric_relstr(X0)
| empty(the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2) ),
inference(resolution,[],[f105,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( empty(X1)
| ~ element(X0,X1)
| in(X0,X1) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f105,plain,
! [X0,X1,X4] :
( element(sK6(X0,X1,X4),the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ex_sup_of_relstr_set(X0,X1)
| ~ element(X4,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X4)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ( element(sK5(X0,X1),the_carrier(X0))
& ! [X3] :
( related(X0,sK5(X0,X1),X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,sK5(X0,X1)) )
| ~ ex_sup_of_relstr_set(X0,X1) )
& ( ex_sup_of_relstr_set(X0,X1)
| ! [X4] :
( ~ element(X4,the_carrier(X0))
| ( ~ related(X0,X4,sK6(X0,X1,X4))
& relstr_set_smaller(X0,X1,sK6(X0,X1,X4))
& element(sK6(X0,X1,X4),the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X4) ) ) )
| ~ antisymmetric_relstr(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f70,f72,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ? [X2] :
( element(X2,the_carrier(X0))
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) )
=> ( element(sK5(X0,X1),the_carrier(X0))
& ! [X3] :
( related(X0,sK5(X0,X1),X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X1,X4] :
( ? [X5] :
( ~ related(X0,X4,X5)
& relstr_set_smaller(X0,X1,X5)
& element(X5,the_carrier(X0)) )
=> ( ~ related(X0,X4,sK6(X0,X1,X4))
& relstr_set_smaller(X0,X1,sK6(X0,X1,X4))
& element(sK6(X0,X1,X4),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ? [X2] :
( element(X2,the_carrier(X0))
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) )
| ~ ex_sup_of_relstr_set(X0,X1) )
& ( ex_sup_of_relstr_set(X0,X1)
| ! [X4] :
( ~ element(X4,the_carrier(X0))
| ? [X5] :
( ~ related(X0,X4,X5)
& relstr_set_smaller(X0,X1,X5)
& element(X5,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X4) ) ) )
| ~ antisymmetric_relstr(X0) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ? [X2] :
( element(X2,the_carrier(X0))
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) )
| ~ ex_sup_of_relstr_set(X0,X1) )
& ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) ) ) )
| ~ antisymmetric_relstr(X0) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ? [X2] :
( element(X2,the_carrier(X0))
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) )
<=> ex_sup_of_relstr_set(X0,X1) )
| ~ antisymmetric_relstr(X0) ),
inference(flattening,[],[f41]) ).
fof(f41,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) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(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) ) ) )
<=> ex_sup_of_relstr_set(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_yellow_0) ).
fof(f330,plain,
! [X0,X1] :
( ~ in(sK6(X0,X1,sK4(X0)),the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ~ element(sK4(X0),the_carrier(X0))
| ~ lower_bounded_relstr(X0)
| ~ relstr_set_smaller(X0,X1,sK4(X0))
| ex_sup_of_relstr_set(X0,X1) ),
inference(duplicate_literal_removal,[],[f327]) ).
fof(f327,plain,
! [X0,X1] :
( ~ relstr_set_smaller(X0,X1,sK4(X0))
| ~ antisymmetric_relstr(X0)
| ~ element(sK4(X0),the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| ~ element(sK4(X0),the_carrier(X0))
| ~ lower_bounded_relstr(X0)
| ~ relstr_set_smaller(X0,X1,sK4(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ in(sK6(X0,X1,sK4(X0)),the_carrier(X0))
| ~ rel_str(X0) ),
inference(resolution,[],[f215,f105]) ).
fof(f215,plain,
! [X2,X3] :
( ~ element(sK6(X2,X3,sK4(X2)),the_carrier(X2))
| ex_sup_of_relstr_set(X2,X3)
| ~ relstr_set_smaller(X2,X3,sK4(X2))
| ~ antisymmetric_relstr(X2)
| ~ lower_bounded_relstr(X2)
| ~ rel_str(X2)
| ~ in(sK6(X2,X3,sK4(X2)),the_carrier(X2))
| ~ element(sK4(X2),the_carrier(X2)) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f214,plain,
! [X2,X3] :
( ~ relstr_set_smaller(X2,X3,sK4(X2))
| ~ in(sK6(X2,X3,sK4(X2)),the_carrier(X2))
| ex_sup_of_relstr_set(X2,X3)
| ~ rel_str(X2)
| ~ lower_bounded_relstr(X2)
| ~ element(sK4(X2),the_carrier(X2))
| ~ element(sK4(X2),the_carrier(X2))
| ~ element(sK6(X2,X3,sK4(X2)),the_carrier(X2))
| ~ antisymmetric_relstr(X2)
| ~ rel_str(X2) ),
inference(resolution,[],[f165,f107]) ).
fof(f107,plain,
! [X0,X1,X4] :
( ~ related(X0,X4,sK6(X0,X1,X4))
| ~ element(X4,the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ex_sup_of_relstr_set(X0,X1)
| ~ relstr_set_smaller(X0,X1,X4) ),
inference(cnf_transformation,[],[f73]) ).
fof(f165,plain,
! [X3,X4] :
( related(X3,sK4(X3),X4)
| ~ element(X4,the_carrier(X3))
| ~ in(X4,the_carrier(X3))
| ~ lower_bounded_relstr(X3)
| ~ rel_str(X3)
| ~ element(sK4(X3),the_carrier(X3)) ),
inference(duplicate_literal_removal,[],[f163]) ).
fof(f163,plain,
! [X3,X4] :
( ~ element(sK4(X3),the_carrier(X3))
| related(X3,sK4(X3),X4)
| ~ element(X4,the_carrier(X3))
| ~ rel_str(X3)
| ~ in(X4,the_carrier(X3))
| ~ lower_bounded_relstr(X3)
| ~ rel_str(X3) ),
inference(resolution,[],[f95,f104]) ).
fof(f104,plain,
! [X0] :
( relstr_element_smaller(X0,the_carrier(X0),sK4(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f95,plain,
! [X2,X0,X1,X4] :
( ~ relstr_element_smaller(X0,X1,X2)
| related(X0,X2,X4)
| ~ element(X2,the_carrier(X0))
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ( in(sK3(X0,X1,X2),X1)
& ~ related(X0,X2,sK3(X0,X1,X2))
& element(sK3(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X4] :
( ~ in(X4,X1)
| related(X0,X2,X4)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f62,f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ? [X3] :
( in(X3,X1)
& ~ related(X0,X2,X3)
& element(X3,the_carrier(X0)) )
=> ( in(sK3(X0,X1,X2),X1)
& ~ related(X0,X2,sK3(X0,X1,X2))
& element(sK3(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( in(X3,X1)
& ~ related(X0,X2,X3)
& element(X3,the_carrier(X0)) ) )
& ( ! [X4] :
( ~ in(X4,X1)
| related(X0,X2,X4)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ! [X2,X1] :
( ( ( relstr_element_smaller(X0,X2,X1)
| ? [X3] :
( in(X3,X2)
& ~ related(X0,X1,X3)
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( ~ in(X3,X2)
| related(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X2,X1) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ! [X2,X1] :
( ( relstr_element_smaller(X0,X2,X1)
<=> ! [X3] :
( ~ in(X3,X2)
| related(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X2,X1] :
( ( ! [X3] :
( related(X0,X1,X3)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) )
<=> relstr_element_smaller(X0,X2,X1) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( rel_str(X0)
=> ! [X2,X1] :
( element(X1,the_carrier(X0))
=> ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X2)
=> related(X0,X1,X3) ) )
<=> relstr_element_smaller(X0,X2,X1) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( rel_str(X0)
=> ! [X2,X1] :
( element(X2,the_carrier(X0))
=> ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X1)
=> related(X0,X2,X3) ) )
<=> relstr_element_smaller(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_lattice3) ).
fof(f503,plain,
( spl14_7
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| spl14_1 ),
inference(avatar_split_clause,[],[f492,f134,f461,f457,f453,f500]) ).
fof(f134,plain,
( spl14_1
<=> ex_inf_of_relstr_set(sK9,the_carrier(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f492,plain,
( ~ antisymmetric_relstr(sK9)
| ~ rel_str(sK9)
| ~ lower_bounded_relstr(sK9)
| empty(the_carrier(sK9))
| spl14_1 ),
inference(resolution,[],[f491,f136]) ).
fof(f136,plain,
( ~ ex_inf_of_relstr_set(sK9,the_carrier(sK9))
| spl14_1 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f491,plain,
! [X0] :
( ex_inf_of_relstr_set(X0,the_carrier(X0))
| ~ lower_bounded_relstr(X0)
| empty(the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(duplicate_literal_removal,[],[f490]) ).
fof(f490,plain,
! [X0] :
( empty(the_carrier(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ex_inf_of_relstr_set(X0,the_carrier(X0)) ),
inference(resolution,[],[f474,f148]) ).
fof(f148,plain,
! [X0] :
( in(sK4(X0),the_carrier(X0))
| empty(the_carrier(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0) ),
inference(resolution,[],[f103,f112]) ).
fof(f474,plain,
! [X0] :
( ~ in(sK4(X0),the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ex_inf_of_relstr_set(X0,the_carrier(X0))
| ~ lower_bounded_relstr(X0) ),
inference(duplicate_literal_removal,[],[f471]) ).
fof(f471,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0)
| ~ rel_str(X0)
| ex_inf_of_relstr_set(X0,the_carrier(X0))
| ~ lower_bounded_relstr(X0)
| ~ in(sK4(X0),the_carrier(X0)) ),
inference(resolution,[],[f352,f103]) ).
fof(f352,plain,
! [X2] :
( ~ element(sK4(X2),the_carrier(X2))
| ~ rel_str(X2)
| ~ lower_bounded_relstr(X2)
| ~ antisymmetric_relstr(X2)
| ~ in(sK4(X2),the_carrier(X2))
| ex_inf_of_relstr_set(X2,the_carrier(X2)) ),
inference(duplicate_literal_removal,[],[f344]) ).
fof(f344,plain,
! [X2] :
( ex_inf_of_relstr_set(X2,the_carrier(X2))
| ~ element(sK4(X2),the_carrier(X2))
| ~ antisymmetric_relstr(X2)
| ~ lower_bounded_relstr(X2)
| ~ rel_str(X2)
| ~ rel_str(X2)
| ~ in(sK4(X2),the_carrier(X2)) ),
inference(resolution,[],[f293,f104]) ).
fof(f293,plain,
! [X2,X0,X1] :
( ~ relstr_element_smaller(X1,X2,X0)
| ~ element(X0,the_carrier(X1))
| ex_inf_of_relstr_set(X1,X2)
| ~ in(X0,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1) ),
inference(duplicate_literal_removal,[],[f291]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ex_inf_of_relstr_set(X1,X2)
| ex_inf_of_relstr_set(X1,X2)
| ~ in(X0,X2)
| ~ relstr_element_smaller(X1,X2,X0)
| ~ element(X0,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ~ element(X0,the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X2,X0)
| ~ rel_str(X1) ),
inference(resolution,[],[f237,f115]) ).
fof(f115,plain,
! [X0,X1,X4] :
( element(sK8(X0,X1,X4),the_carrier(X0))
| ex_inf_of_relstr_set(X0,X1)
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ~ element(X4,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X4) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X3)
| related(X0,X3,sK7(X0,X1)) )
& relstr_element_smaller(X0,X1,sK7(X0,X1))
& element(sK7(X0,X1),the_carrier(X0)) )
| ~ ex_inf_of_relstr_set(X0,X1) )
& ( ex_inf_of_relstr_set(X0,X1)
| ! [X4] :
( ( element(sK8(X0,X1,X4),the_carrier(X0))
& relstr_element_smaller(X0,X1,sK8(X0,X1,X4))
& ~ related(X0,sK8(X0,X1,X4),X4) )
| ~ relstr_element_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0)) ) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f75,f77,f76]) ).
fof(f76,plain,
! [X0,X1] :
( ? [X2] :
( ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X3)
| related(X0,X3,X2) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) )
=> ( ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X3)
| related(X0,X3,sK7(X0,X1)) )
& relstr_element_smaller(X0,X1,sK7(X0,X1))
& element(sK7(X0,X1),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0,X1,X4] :
( ? [X5] :
( element(X5,the_carrier(X0))
& relstr_element_smaller(X0,X1,X5)
& ~ related(X0,X5,X4) )
=> ( element(sK8(X0,X1,X4),the_carrier(X0))
& relstr_element_smaller(X0,X1,sK8(X0,X1,X4))
& ~ related(X0,sK8(X0,X1,X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ( ? [X2] :
( ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X3)
| related(X0,X3,X2) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) )
| ~ ex_inf_of_relstr_set(X0,X1) )
& ( ex_inf_of_relstr_set(X0,X1)
| ! [X4] :
( ? [X5] :
( element(X5,the_carrier(X0))
& relstr_element_smaller(X0,X1,X5)
& ~ related(X0,X5,X4) )
| ~ relstr_element_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0)) ) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ( ? [X2] :
( ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X3)
| related(X0,X3,X2) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) )
| ~ ex_inf_of_relstr_set(X0,X1) )
& ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ? [X3] :
( element(X3,the_carrier(X0))
& relstr_element_smaller(X0,X1,X3)
& ~ related(X0,X3,X2) )
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ element(X3,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X3)
| related(X0,X3,X2) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) )
<=> ex_inf_of_relstr_set(X0,X1) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X3)
=> related(X0,X3,X2) ) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_yellow_0) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ element(sK8(X1,X2,X0),the_carrier(X1))
| ~ element(X0,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X0)
| ~ rel_str(X1)
| ~ in(X0,X2)
| ex_inf_of_relstr_set(X1,X2)
| ~ antisymmetric_relstr(X1) ),
inference(duplicate_literal_removal,[],[f232]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ rel_str(X1)
| ~ element(sK8(X1,X2,X0),the_carrier(X1))
| ~ in(X0,X2)
| ~ element(X0,the_carrier(X1))
| ~ antisymmetric_relstr(X1)
| ex_inf_of_relstr_set(X1,X2)
| ex_inf_of_relstr_set(X1,X2)
| ~ element(X0,the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X0)
| ~ element(X0,the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X0)
| ~ antisymmetric_relstr(X1) ),
inference(resolution,[],[f195,f113]) ).
fof(f113,plain,
! [X0,X1,X4] :
( ~ related(X0,sK8(X0,X1,X4),X4)
| ~ rel_str(X0)
| ex_inf_of_relstr_set(X0,X1)
| ~ antisymmetric_relstr(X0)
| ~ element(X4,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X4) ),
inference(cnf_transformation,[],[f78]) ).
fof(f195,plain,
! [X2,X3,X4,X5] :
( related(X2,sK8(X2,X3,X4),X5)
| ~ element(X5,the_carrier(X2))
| ~ antisymmetric_relstr(X2)
| ~ in(X5,X3)
| ~ element(X4,the_carrier(X2))
| ~ relstr_element_smaller(X2,X3,X4)
| ex_inf_of_relstr_set(X2,X3)
| ~ element(sK8(X2,X3,X4),the_carrier(X2))
| ~ rel_str(X2) ),
inference(duplicate_literal_removal,[],[f194]) ).
fof(f194,plain,
! [X2,X3,X4,X5] :
( ex_inf_of_relstr_set(X2,X3)
| ~ element(X4,the_carrier(X2))
| ~ rel_str(X2)
| related(X2,sK8(X2,X3,X4),X5)
| ~ antisymmetric_relstr(X2)
| ~ relstr_element_smaller(X2,X3,X4)
| ~ rel_str(X2)
| ~ element(sK8(X2,X3,X4),the_carrier(X2))
| ~ in(X5,X3)
| ~ element(X5,the_carrier(X2)) ),
inference(resolution,[],[f114,f95]) ).
fof(f114,plain,
! [X0,X1,X4] :
( relstr_element_smaller(X0,X1,sK8(X0,X1,X4))
| ex_inf_of_relstr_set(X0,X1)
| ~ relstr_element_smaller(X0,X1,X4)
| ~ antisymmetric_relstr(X0)
| ~ element(X4,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f484,plain,
spl14_5,
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f483,plain,
( $false
| spl14_5 ),
inference(resolution,[],[f463,f121]) ).
fof(f121,plain,
antisymmetric_relstr(sK9),
inference(cnf_transformation,[],[f81]) ).
fof(f463,plain,
( ~ antisymmetric_relstr(sK9)
| spl14_5 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f476,plain,
spl14_4,
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f475,plain,
( $false
| spl14_4 ),
inference(resolution,[],[f459,f120]) ).
fof(f120,plain,
rel_str(sK9),
inference(cnf_transformation,[],[f81]) ).
fof(f459,plain,
( ~ rel_str(sK9)
| spl14_4 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f470,plain,
spl14_3,
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f469,plain,
( $false
| spl14_3 ),
inference(resolution,[],[f455,f123]) ).
fof(f123,plain,
lower_bounded_relstr(sK9),
inference(cnf_transformation,[],[f81]) ).
fof(f455,plain,
( ~ lower_bounded_relstr(sK9)
| spl14_3 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f141,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f124,f138,f134]) ).
fof(f124,plain,
( ~ ex_sup_of_relstr_set(sK9,empty_set)
| ~ ex_inf_of_relstr_set(sK9,the_carrier(sK9)) ),
inference(cnf_transformation,[],[f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU360+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:42:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (7873)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (7876)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50 % (7875)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50 % (7872)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (7889)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.50 % (7885)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.50 % (7880)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.50 % (7863)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.50 % (7883)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.51 % (7870)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51 % (7866)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (7867)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (7874)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51 % (7865)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.51 % (7871)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.51 % (7871)Instruction limit reached!
% 0.18/0.51 % (7871)------------------------------
% 0.18/0.51 % (7871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (7871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (7871)Termination reason: Unknown
% 0.18/0.51 % (7871)Termination phase: Blocked clause elimination
% 0.18/0.51
% 0.18/0.51 % (7871)Memory used [KB]: 1023
% 0.18/0.51 % (7871)Time elapsed: 0.003 s
% 0.18/0.51 % (7871)Instructions burned: 3 (million)
% 0.18/0.51 % (7871)------------------------------
% 0.18/0.51 % (7871)------------------------------
% 0.18/0.51 % (7884)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.51 % (7869)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 TRYING [1]
% 0.18/0.52 % (7868)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.52 % (7864)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 TRYING [2]
% 0.18/0.52 % (7886)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.52 % (7864)Refutation not found, incomplete strategy% (7864)------------------------------
% 0.18/0.52 % (7864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (7864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (7864)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (7864)Memory used [KB]: 5500
% 0.18/0.52 % (7864)Time elapsed: 0.137 s
% 0.18/0.52 % (7864)Instructions burned: 4 (million)
% 0.18/0.52 % (7864)------------------------------
% 0.18/0.52 % (7864)------------------------------
% 0.18/0.52 TRYING [1]
% 0.18/0.52 TRYING [1]
% 0.18/0.52 TRYING [3]
% 0.18/0.52 TRYING [2]
% 0.18/0.52 % (7887)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53 TRYING [2]
% 0.18/0.53 TRYING [3]
% 0.18/0.53 % (7890)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.53 % (7870)Instruction limit reached!
% 0.18/0.53 % (7870)------------------------------
% 0.18/0.53 % (7870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (7870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (7870)Termination reason: Unknown
% 0.18/0.53 % (7870)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (7870)Memory used [KB]: 5500
% 0.18/0.53 % (7870)Time elapsed: 0.129 s
% 0.18/0.53 % (7870)Instructions burned: 7 (million)
% 0.18/0.53 % (7870)------------------------------
% 0.18/0.53 % (7870)------------------------------
% 0.18/0.53 % (7891)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53 % (7892)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.53 % (7873)First to succeed.
% 0.18/0.53 % (7888)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53 TRYING [3]
% 0.18/0.54 % (7882)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54 % (7877)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.54 % (7878)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.57/0.54 % (7881)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.57/0.55 % (7879)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.57/0.55 % (7873)Refutation found. Thanks to Tanya!
% 1.57/0.55 % SZS status Theorem for theBenchmark
% 1.57/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.55 % (7873)------------------------------
% 1.57/0.55 % (7873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.55 % (7873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.55 % (7873)Termination reason: Refutation
% 1.57/0.55
% 1.57/0.55 % (7873)Memory used [KB]: 5756
% 1.57/0.55 % (7873)Time elapsed: 0.147 s
% 1.57/0.55 % (7873)Instructions burned: 20 (million)
% 1.57/0.55 % (7873)------------------------------
% 1.57/0.55 % (7873)------------------------------
% 1.57/0.55 % (7862)Success in time 0.213 s
%------------------------------------------------------------------------------