TSTP Solution File: SEU360+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n016.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 18:29:13 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 87 ( 13 unt; 0 def)
% Number of atoms : 424 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 531 ( 194 ~; 184 |; 114 &)
% ( 13 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 167 ( 138 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f272,plain,
$false,
inference(avatar_sat_refutation,[],[f134,f244,f271]) ).
fof(f271,plain,
spl13_2,
inference(avatar_contradiction_clause,[],[f270]) ).
fof(f270,plain,
( $false
| spl13_2 ),
inference(subsumption_resolution,[],[f268,f250]) ).
fof(f250,plain,
( relstr_element_smaller(sK12,the_carrier(sK12),sK2(sK12,the_carrier(sK12),sK11(sK12)))
| spl13_2 ),
inference(unit_resulting_resolution,[],[f125,f121,f154,f166,f133,f94]) ).
fof(f94,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X0,X1,sK2(X0,X1,X2))
| ~ antisymmetric_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ relstr_element_smaller(X0,X1,X2)
| ex_inf_of_relstr_set(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ relstr_element_smaller(X0,X1,X2)
| ( ~ related(X0,sK2(X0,X1,X2),X2)
& relstr_element_smaller(X0,X1,sK2(X0,X1,X2))
& element(sK2(X0,X1,X2),the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) ) )
& ( ( relstr_element_smaller(X0,X1,sK3(X0,X1))
& ! [X5] :
( related(X0,X5,sK3(X0,X1))
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& element(sK3(X0,X1),the_carrier(X0)) )
| ~ ex_inf_of_relstr_set(X0,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f56,f58,f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
=> ( ~ related(X0,sK2(X0,X1,X2),X2)
& relstr_element_smaller(X0,X1,sK2(X0,X1,X2))
& element(sK2(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X4] :
( relstr_element_smaller(X0,X1,X4)
& ! [X5] :
( related(X0,X5,X4)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& element(X4,the_carrier(X0)) )
=> ( relstr_element_smaller(X0,X1,sK3(X0,X1))
& ! [X5] :
( related(X0,X5,sK3(X0,X1))
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& element(sK3(X0,X1),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) ) )
& ( ? [X4] :
( relstr_element_smaller(X0,X1,X4)
& ! [X5] :
( related(X0,X5,X4)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& element(X4,the_carrier(X0)) )
| ~ ex_inf_of_relstr_set(X0,X1) ) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) ) )
& ( ? [X2] :
( relstr_element_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
| ~ ex_inf_of_relstr_set(X0,X1) ) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( relstr_element_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) ) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( element(X2,the_carrier(X0))
& ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2) ) )
| ~ 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] :
( element(X2,the_carrier(X0))
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X3)
=> related(X0,X3,X2) ) )
& relstr_element_smaller(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_yellow_0) ).
fof(f133,plain,
( ~ ex_inf_of_relstr_set(sK12,the_carrier(sK12))
| spl13_2 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl13_2
<=> ex_inf_of_relstr_set(sK12,the_carrier(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f166,plain,
relstr_element_smaller(sK12,the_carrier(sK12),sK11(sK12)),
inference(unit_resulting_resolution,[],[f121,f122,f119]) ).
fof(f119,plain,
! [X0] :
( relstr_element_smaller(X0,the_carrier(X0),sK11(X0))
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ~ rel_str(X0)
| ( ( lower_bounded_relstr(X0)
| ! [X1] :
( ~ relstr_element_smaller(X0,the_carrier(X0),X1)
| ~ element(X1,the_carrier(X0)) ) )
& ( ( relstr_element_smaller(X0,the_carrier(X0),sK11(X0))
& element(sK11(X0),the_carrier(X0)) )
| ~ lower_bounded_relstr(X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f80,f81]) ).
fof(f81,plain,
! [X0] :
( ? [X2] :
( relstr_element_smaller(X0,the_carrier(X0),X2)
& element(X2,the_carrier(X0)) )
=> ( relstr_element_smaller(X0,the_carrier(X0),sK11(X0))
& element(sK11(X0),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0] :
( ~ rel_str(X0)
| ( ( lower_bounded_relstr(X0)
| ! [X1] :
( ~ relstr_element_smaller(X0,the_carrier(X0),X1)
| ~ element(X1,the_carrier(X0)) ) )
& ( ? [X2] :
( relstr_element_smaller(X0,the_carrier(X0),X2)
& element(X2,the_carrier(X0)) )
| ~ lower_bounded_relstr(X0) ) ) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ rel_str(X0)
| ( ( lower_bounded_relstr(X0)
| ! [X1] :
( ~ relstr_element_smaller(X0,the_carrier(X0),X1)
| ~ element(X1,the_carrier(X0)) ) )
& ( ? [X1] :
( relstr_element_smaller(X0,the_carrier(X0),X1)
& element(X1,the_carrier(X0)) )
| ~ lower_bounded_relstr(X0) ) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ~ rel_str(X0)
| ( lower_bounded_relstr(X0)
<=> ? [X1] :
( relstr_element_smaller(X0,the_carrier(X0),X1)
& element(X1,the_carrier(X0)) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( rel_str(X0)
=> ( lower_bounded_relstr(X0)
<=> ? [X1] :
( relstr_element_smaller(X0,the_carrier(X0),X1)
& element(X1,the_carrier(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_yellow_0) ).
fof(f122,plain,
lower_bounded_relstr(sK12),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( antisymmetric_relstr(sK12)
& ( ~ ex_inf_of_relstr_set(sK12,the_carrier(sK12))
| ~ ex_sup_of_relstr_set(sK12,empty_set) )
& ~ empty_carrier(sK12)
& lower_bounded_relstr(sK12)
& rel_str(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f33,f83]) ).
fof(f83,plain,
( ? [X0] :
( antisymmetric_relstr(X0)
& ( ~ ex_inf_of_relstr_set(X0,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,empty_set) )
& ~ empty_carrier(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) )
=> ( antisymmetric_relstr(sK12)
& ( ~ ex_inf_of_relstr_set(sK12,the_carrier(sK12))
| ~ ex_sup_of_relstr_set(sK12,empty_set) )
& ~ empty_carrier(sK12)
& lower_bounded_relstr(sK12)
& rel_str(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0] :
( antisymmetric_relstr(X0)
& ( ~ ex_inf_of_relstr_set(X0,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,empty_set) )
& ~ empty_carrier(X0)
& lower_bounded_relstr(X0)
& rel_str(X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
? [X0] :
( ( ~ ex_inf_of_relstr_set(X0,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,empty_set) )
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X0] :
( ( lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( ex_sup_of_relstr_set(X0,empty_set)
& ex_inf_of_relstr_set(X0,the_carrier(X0)) ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X0] :
( ( lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( ex_sup_of_relstr_set(X0,empty_set)
& ex_inf_of_relstr_set(X0,the_carrier(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_yellow_0) ).
fof(f154,plain,
element(sK11(sK12),the_carrier(sK12)),
inference(unit_resulting_resolution,[],[f122,f121,f118]) ).
fof(f118,plain,
! [X0] :
( element(sK11(X0),the_carrier(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f121,plain,
rel_str(sK12),
inference(cnf_transformation,[],[f84]) ).
fof(f125,plain,
antisymmetric_relstr(sK12),
inference(cnf_transformation,[],[f84]) ).
fof(f268,plain,
( ~ relstr_element_smaller(sK12,the_carrier(sK12),sK2(sK12,the_carrier(sK12),sK11(sK12)))
| spl13_2 ),
inference(unit_resulting_resolution,[],[f121,f155,f154,f251,f249,f108]) ).
fof(f108,plain,
! [X2,X0,X1,X4] :
( ~ relstr_element_smaller(X0,X2,X1)
| related(X0,X1,X4)
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ in(X4,X2)
| ~ element(X4,the_carrier(X0)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1,X2] :
( ~ element(X1,the_carrier(X0))
| ( ( relstr_element_smaller(X0,X2,X1)
| ( in(sK8(X0,X1,X2),X2)
& element(sK8(X0,X1,X2),the_carrier(X0))
& ~ related(X0,X1,sK8(X0,X1,X2)) ) )
& ( ! [X4] :
( ~ in(X4,X2)
| ~ element(X4,the_carrier(X0))
| related(X0,X1,X4) )
| ~ relstr_element_smaller(X0,X2,X1) ) ) )
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f71,f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ? [X3] :
( in(X3,X2)
& element(X3,the_carrier(X0))
& ~ related(X0,X1,X3) )
=> ( in(sK8(X0,X1,X2),X2)
& element(sK8(X0,X1,X2),the_carrier(X0))
& ~ related(X0,X1,sK8(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0] :
( ! [X1,X2] :
( ~ element(X1,the_carrier(X0))
| ( ( relstr_element_smaller(X0,X2,X1)
| ? [X3] :
( in(X3,X2)
& element(X3,the_carrier(X0))
& ~ related(X0,X1,X3) ) )
& ( ! [X4] :
( ~ in(X4,X2)
| ~ element(X4,the_carrier(X0))
| related(X0,X1,X4) )
| ~ relstr_element_smaller(X0,X2,X1) ) ) )
| ~ rel_str(X0) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X2,X1] :
( ~ element(X2,the_carrier(X0))
| ( ( relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( in(X3,X1)
& element(X3,the_carrier(X0))
& ~ related(X0,X2,X3) ) )
& ( ! [X3] :
( ~ in(X3,X1)
| ~ element(X3,the_carrier(X0))
| related(X0,X2,X3) )
| ~ relstr_element_smaller(X0,X1,X2) ) ) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ! [X2,X1] :
( ~ element(X2,the_carrier(X0))
| ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( ~ in(X3,X1)
| ~ element(X3,the_carrier(X0))
| related(X0,X2,X3) ) ) )
| ~ rel_str(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,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,[],[f4]) ).
fof(f4,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/sandbox2/benchmark/theBenchmark.p',d8_lattice3) ).
fof(f249,plain,
( ~ related(sK12,sK2(sK12,the_carrier(sK12),sK11(sK12)),sK11(sK12))
| spl13_2 ),
inference(unit_resulting_resolution,[],[f125,f121,f154,f166,f133,f95]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ related(X0,sK2(X0,X1,X2),X2)
| ~ rel_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2)
| ex_inf_of_relstr_set(X0,X1)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f251,plain,
( element(sK2(sK12,the_carrier(sK12),sK11(sK12)),the_carrier(sK12))
| spl13_2 ),
inference(unit_resulting_resolution,[],[f121,f125,f154,f166,f133,f93]) ).
fof(f93,plain,
! [X2,X0,X1] :
( element(sK2(X0,X1,X2),the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2)
| ~ antisymmetric_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ex_inf_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f155,plain,
in(sK11(sK12),the_carrier(sK12)),
inference(unit_resulting_resolution,[],[f144,f154,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ element(X1,X0)
| empty(X0)
| in(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( empty(X0)
| in(X1,X0)
| ~ element(X1,X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( empty(X0)
| in(X1,X0)
| ~ element(X1,X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( element(X1,X0)
=> ( empty(X0)
| in(X1,X0) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X1,X0] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f144,plain,
~ empty(the_carrier(sK12)),
inference(unit_resulting_resolution,[],[f123,f135,f96]) ).
fof(f96,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| empty_carrier(X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f135,plain,
one_sorted_str(sK12),
inference(unit_resulting_resolution,[],[f121,f103]) ).
fof(f103,plain,
! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_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(f123,plain,
~ empty_carrier(sK12),
inference(cnf_transformation,[],[f84]) ).
fof(f244,plain,
spl13_1,
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f243,plain,
( $false
| spl13_1 ),
inference(subsumption_resolution,[],[f227,f162]) ).
fof(f162,plain,
relstr_set_smaller(sK12,empty_set,sK11(sK12)),
inference(unit_resulting_resolution,[],[f121,f154,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| relstr_set_smaller(X0,empty_set,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| ( relstr_element_smaller(X0,empty_set,X1)
& relstr_set_smaller(X0,empty_set,X1) ) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ( relstr_element_smaller(X0,empty_set,X1)
& relstr_set_smaller(X0,empty_set,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_yellow_0) ).
fof(f227,plain,
( ~ relstr_set_smaller(sK12,empty_set,sK11(sK12))
| spl13_1 ),
inference(unit_resulting_resolution,[],[f121,f125,f129,f154,f183,f117]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ related(X0,X2,sK9(X0,X1,X2))
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ relstr_set_smaller(X0,X1,X2)
| ~ antisymmetric_relstr(X0)
| ex_sup_of_relstr_set(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ( ~ related(X0,X2,sK9(X0,X1,X2))
& element(sK9(X0,X1,X2),the_carrier(X0))
& relstr_set_smaller(X0,X1,sK9(X0,X1,X2)) )
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2) ) )
& ( ( ! [X5] :
( related(X0,sK10(X0,X1),X5)
| ~ element(X5,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X5) )
& element(sK10(X0,X1),the_carrier(X0))
& relstr_set_smaller(X0,X1,sK10(X0,X1)) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f75,f77,f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X0,X2,X3)
& element(X3,the_carrier(X0))
& relstr_set_smaller(X0,X1,X3) )
=> ( ~ related(X0,X2,sK9(X0,X1,X2))
& element(sK9(X0,X1,X2),the_carrier(X0))
& relstr_set_smaller(X0,X1,sK9(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0,X1] :
( ? [X4] :
( ! [X5] :
( related(X0,X4,X5)
| ~ element(X5,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X5) )
& element(X4,the_carrier(X0))
& relstr_set_smaller(X0,X1,X4) )
=> ( ! [X5] :
( related(X0,sK10(X0,X1),X5)
| ~ element(X5,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X5) )
& element(sK10(X0,X1),the_carrier(X0))
& relstr_set_smaller(X0,X1,sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ? [X3] :
( ~ related(X0,X2,X3)
& element(X3,the_carrier(X0))
& relstr_set_smaller(X0,X1,X3) )
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2) ) )
& ( ? [X4] :
( ! [X5] :
( related(X0,X4,X5)
| ~ element(X5,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X5) )
& element(X4,the_carrier(X0))
& relstr_set_smaller(X0,X1,X4) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ? [X3] :
( ~ related(X0,X2,X3)
& element(X3,the_carrier(X0))
& relstr_set_smaller(X0,X1,X3) )
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2) ) )
& ( ? [X2] :
( ! [X3] :
( related(X0,X2,X3)
| ~ element(X3,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X3) )
& element(X2,the_carrier(X0))
& relstr_set_smaller(X0,X1,X2) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( related(X0,X2,X3)
| ~ element(X3,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X3) )
& element(X2,the_carrier(X0))
& relstr_set_smaller(X0,X1,X2) ) )
| ~ rel_str(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,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) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(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(f183,plain,
( related(sK12,sK11(sK12),sK9(sK12,empty_set,sK11(sK12)))
| spl13_1 ),
inference(unit_resulting_resolution,[],[f121,f154,f166,f176,f182,f108]) ).
fof(f182,plain,
( in(sK9(sK12,empty_set,sK11(sK12)),the_carrier(sK12))
| spl13_1 ),
inference(unit_resulting_resolution,[],[f144,f176,f104]) ).
fof(f176,plain,
( element(sK9(sK12,empty_set,sK11(sK12)),the_carrier(sK12))
| spl13_1 ),
inference(unit_resulting_resolution,[],[f121,f125,f129,f162,f154,f116]) ).
fof(f116,plain,
! [X2,X0,X1] :
( element(sK9(X0,X1,X2),the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f129,plain,
( ~ ex_sup_of_relstr_set(sK12,empty_set)
| spl13_1 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl13_1
<=> ex_sup_of_relstr_set(sK12,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f134,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f124,f131,f127]) ).
fof(f124,plain,
( ~ ex_inf_of_relstr_set(sK12,the_carrier(sK12))
| ~ ex_sup_of_relstr_set(sK12,empty_set) ),
inference(cnf_transformation,[],[f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU360+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.33 % Computer : n016.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 15:41:31 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.48 % (18119)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.48 % (18111)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (18111)First to succeed.
% 0.20/0.50 % (18110)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.50 % (18111)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (18111)------------------------------
% 0.20/0.50 % (18111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (18111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (18111)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (18111)Memory used [KB]: 6140
% 0.20/0.50 % (18111)Time elapsed: 0.082 s
% 0.20/0.50 % (18111)Instructions burned: 13 (million)
% 0.20/0.50 % (18111)------------------------------
% 0.20/0.50 % (18111)------------------------------
% 0.20/0.50 % (18097)Success in time 0.155 s
%------------------------------------------------------------------------------