TSTP Solution File: SEU357+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU357+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 : n010.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 18:33:24 EDT 2022
% Result : Theorem 1.86s 0.64s
% Output : Refutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 94
% Number of leaves : 13
% Syntax : Number of formulae : 163 ( 13 unt; 0 def)
% Number of atoms : 845 ( 82 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 1124 ( 442 ~; 492 |; 148 &)
% ( 8 <=>; 32 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 235 ( 185 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f413,plain,
$false,
inference(subsumption_resolution,[],[f412,f294]) ).
fof(f294,plain,
ex_inf_of_relstr_set(sK2,sK3),
inference(subsumption_resolution,[],[f293,f47]) ).
fof(f47,plain,
( relstr_element_smaller(sK2,sK3,sK5)
| ex_inf_of_relstr_set(sK2,sK3) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( rel_str(sK2)
& antisymmetric_relstr(sK2)
& ( ! [X2] :
( ( ~ related(sK2,sK4(X2),X2)
& element(sK4(X2),the_carrier(sK2))
& relstr_element_smaller(sK2,sK3,sK4(X2)) )
| ~ relstr_element_smaller(sK2,sK3,X2)
| ~ element(X2,the_carrier(sK2)) )
| ~ ex_inf_of_relstr_set(sK2,sK3) )
& ( ( ! [X5] :
( related(sK2,X5,sK5)
| ~ element(X5,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,X5) )
& relstr_element_smaller(sK2,sK3,sK5)
& element(sK5,the_carrier(sK2)) )
| ex_inf_of_relstr_set(sK2,sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f26,f30,f29,f28,f27]) ).
fof(f27,plain,
( ? [X0] :
( rel_str(X0)
& antisymmetric_relstr(X0)
& ? [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ related(X0,X3,X2)
& element(X3,the_carrier(X0))
& relstr_element_smaller(X0,X1,X3) )
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ ex_inf_of_relstr_set(X0,X1) )
& ( ? [X4] :
( ! [X5] :
( related(X0,X5,X4)
| ~ element(X5,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X5) )
& relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
| ex_inf_of_relstr_set(X0,X1) ) ) )
=> ( rel_str(sK2)
& antisymmetric_relstr(sK2)
& ? [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ related(sK2,X3,X2)
& element(X3,the_carrier(sK2))
& relstr_element_smaller(sK2,X1,X3) )
| ~ relstr_element_smaller(sK2,X1,X2)
| ~ element(X2,the_carrier(sK2)) )
| ~ ex_inf_of_relstr_set(sK2,X1) )
& ( ? [X4] :
( ! [X5] :
( related(sK2,X5,X4)
| ~ element(X5,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,X1,X5) )
& relstr_element_smaller(sK2,X1,X4)
& element(X4,the_carrier(sK2)) )
| ex_inf_of_relstr_set(sK2,X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( ? [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ related(sK2,X3,X2)
& element(X3,the_carrier(sK2))
& relstr_element_smaller(sK2,X1,X3) )
| ~ relstr_element_smaller(sK2,X1,X2)
| ~ element(X2,the_carrier(sK2)) )
| ~ ex_inf_of_relstr_set(sK2,X1) )
& ( ? [X4] :
( ! [X5] :
( related(sK2,X5,X4)
| ~ element(X5,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,X1,X5) )
& relstr_element_smaller(sK2,X1,X4)
& element(X4,the_carrier(sK2)) )
| ex_inf_of_relstr_set(sK2,X1) ) )
=> ( ( ! [X2] :
( ? [X3] :
( ~ related(sK2,X3,X2)
& element(X3,the_carrier(sK2))
& relstr_element_smaller(sK2,sK3,X3) )
| ~ relstr_element_smaller(sK2,sK3,X2)
| ~ element(X2,the_carrier(sK2)) )
| ~ ex_inf_of_relstr_set(sK2,sK3) )
& ( ? [X4] :
( ! [X5] :
( related(sK2,X5,X4)
| ~ element(X5,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,X5) )
& relstr_element_smaller(sK2,sK3,X4)
& element(X4,the_carrier(sK2)) )
| ex_inf_of_relstr_set(sK2,sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X2] :
( ? [X3] :
( ~ related(sK2,X3,X2)
& element(X3,the_carrier(sK2))
& relstr_element_smaller(sK2,sK3,X3) )
=> ( ~ related(sK2,sK4(X2),X2)
& element(sK4(X2),the_carrier(sK2))
& relstr_element_smaller(sK2,sK3,sK4(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ? [X4] :
( ! [X5] :
( related(sK2,X5,X4)
| ~ element(X5,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,X5) )
& relstr_element_smaller(sK2,sK3,X4)
& element(X4,the_carrier(sK2)) )
=> ( ! [X5] :
( related(sK2,X5,sK5)
| ~ element(X5,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,X5) )
& relstr_element_smaller(sK2,sK3,sK5)
& element(sK5,the_carrier(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0] :
( rel_str(X0)
& antisymmetric_relstr(X0)
& ? [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ related(X0,X3,X2)
& element(X3,the_carrier(X0))
& relstr_element_smaller(X0,X1,X3) )
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ ex_inf_of_relstr_set(X0,X1) )
& ( ? [X4] :
( ! [X5] :
( related(X0,X5,X4)
| ~ element(X5,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X5) )
& relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
| ex_inf_of_relstr_set(X0,X1) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
? [X0] :
( rel_str(X0)
& antisymmetric_relstr(X0)
& ? [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ related(X0,X3,X2)
& element(X3,the_carrier(X0))
& relstr_element_smaller(X0,X1,X3) )
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ ex_inf_of_relstr_set(X0,X1) )
& ( ? [X2] :
( ! [X3] :
( related(X0,X3,X2)
| ~ element(X3,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X3) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) )
| ex_inf_of_relstr_set(X0,X1) ) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
? [X0] :
( rel_str(X0)
& antisymmetric_relstr(X0)
& ? [X1] :
( ex_inf_of_relstr_set(X0,X1)
<~> ? [X2] :
( ! [X3] :
( related(X0,X3,X2)
| ~ element(X3,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X3) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
? [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)) ) )
<~> ex_inf_of_relstr_set(X0,X1) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(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) ) ) )
<=> ex_inf_of_relstr_set(X0,X1) ) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(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) ) ) )
<=> ex_inf_of_relstr_set(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_yellow_0) ).
fof(f293,plain,
( ~ relstr_element_smaller(sK2,sK3,sK5)
| ex_inf_of_relstr_set(sK2,sK3) ),
inference(subsumption_resolution,[],[f292,f74]) ).
fof(f74,plain,
( element(sK5,sF11)
| ex_inf_of_relstr_set(sK2,sK3) ),
inference(definition_folding,[],[f46,f69]) ).
fof(f69,plain,
sF11 = the_carrier(sK2),
introduced(function_definition,[]) ).
fof(f46,plain,
( element(sK5,the_carrier(sK2))
| ex_inf_of_relstr_set(sK2,sK3) ),
inference(cnf_transformation,[],[f31]) ).
fof(f292,plain,
( ~ relstr_element_smaller(sK2,sK3,sK5)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK5,sF11) ),
inference(subsumption_resolution,[],[f291,f231]) ).
fof(f231,plain,
sP0(sK5,sK3,sK2),
inference(trivial_inequality_removal,[],[f230]) ).
fof(f230,plain,
( sP0(sK5,sK3,sK2)
| sK5 != sK5 ),
inference(superposition,[],[f60,f222]) ).
fof(f222,plain,
sK6(sK5,sK3,sK2) = sK5,
inference(subsumption_resolution,[],[f221,f136]) ).
fof(f136,plain,
( ex_inf_of_relstr_set(sK2,sK3)
| sK6(sK5,sK3,sK2) = sK5 ),
inference(subsumption_resolution,[],[f135,f47]) ).
fof(f135,plain,
( ~ relstr_element_smaller(sK2,sK3,sK5)
| ex_inf_of_relstr_set(sK2,sK3)
| sK6(sK5,sK3,sK2) = sK5 ),
inference(subsumption_resolution,[],[f134,f74]) ).
fof(f134,plain,
( ~ relstr_element_smaller(sK2,sK3,sK5)
| ~ element(sK5,sF11)
| ex_inf_of_relstr_set(sK2,sK3)
| sK6(sK5,sK3,sK2) = sK5 ),
inference(subsumption_resolution,[],[f133,f104]) ).
fof(f104,plain,
! [X0] :
( sP0(X0,sK3,sK2)
| sK5 = sK6(X0,sK3,sK2)
| ex_inf_of_relstr_set(sK2,sK3) ),
inference(subsumption_resolution,[],[f103,f47]) ).
fof(f103,plain,
! [X0] :
( ~ relstr_element_smaller(sK2,sK3,sK5)
| ex_inf_of_relstr_set(sK2,sK3)
| sK5 = sK6(X0,sK3,sK2)
| sP0(X0,sK3,sK2) ),
inference(duplicate_literal_removal,[],[f102]) ).
fof(f102,plain,
! [X0] :
( sP0(X0,sK3,sK2)
| sP0(X0,sK3,sK2)
| ex_inf_of_relstr_set(sK2,sK3)
| sK5 = sK6(X0,sK3,sK2)
| ~ relstr_element_smaller(sK2,sK3,sK5) ),
inference(resolution,[],[f95,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X2,X1,sK6(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( sK6(X0,X1,X2) != X0
& ! [X4] :
( ~ relstr_element_smaller(X2,X1,X4)
| ~ element(X4,the_carrier(X2))
| related(X2,X4,sK6(X0,X1,X2)) )
& relstr_element_smaller(X2,X1,sK6(X0,X1,X2))
& element(sK6(X0,X1,X2),the_carrier(X2)) ) )
& ( ! [X5] :
( X0 = X5
| ( relstr_element_smaller(X2,X1,sK7(X1,X2,X5))
& element(sK7(X1,X2,X5),the_carrier(X2))
& ~ related(X2,sK7(X1,X2,X5),X5) )
| ~ relstr_element_smaller(X2,X1,X5)
| ~ element(X5,the_carrier(X2)) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f33,f35,f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 != X3
& ! [X4] :
( ~ relstr_element_smaller(X2,X1,X4)
| ~ element(X4,the_carrier(X2))
| related(X2,X4,X3) )
& relstr_element_smaller(X2,X1,X3)
& element(X3,the_carrier(X2)) )
=> ( sK6(X0,X1,X2) != X0
& ! [X4] :
( ~ relstr_element_smaller(X2,X1,X4)
| ~ element(X4,the_carrier(X2))
| related(X2,X4,sK6(X0,X1,X2)) )
& relstr_element_smaller(X2,X1,sK6(X0,X1,X2))
& element(sK6(X0,X1,X2),the_carrier(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X1,X2,X5] :
( ? [X6] :
( relstr_element_smaller(X2,X1,X6)
& element(X6,the_carrier(X2))
& ~ related(X2,X6,X5) )
=> ( relstr_element_smaller(X2,X1,sK7(X1,X2,X5))
& element(sK7(X1,X2,X5),the_carrier(X2))
& ~ related(X2,sK7(X1,X2,X5),X5) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( X0 != X3
& ! [X4] :
( ~ relstr_element_smaller(X2,X1,X4)
| ~ element(X4,the_carrier(X2))
| related(X2,X4,X3) )
& relstr_element_smaller(X2,X1,X3)
& element(X3,the_carrier(X2)) ) )
& ( ! [X5] :
( X0 = X5
| ? [X6] :
( relstr_element_smaller(X2,X1,X6)
& element(X6,the_carrier(X2))
& ~ related(X2,X6,X5) )
| ~ relstr_element_smaller(X2,X1,X5)
| ~ element(X5,the_carrier(X2)) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X2,X1,X0] :
( ( sP0(X2,X1,X0)
| ? [X3] :
( X2 != X3
& ! [X4] :
( ~ relstr_element_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0))
| related(X0,X4,X3) )
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( X2 = X3
| ? [X4] :
( relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0))
& ~ related(X0,X4,X3) )
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
| ~ sP0(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X2,X1,X0] :
( sP0(X2,X1,X0)
<=> ! [X3] :
( X2 = X3
| ? [X4] :
( relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0))
& ~ related(X0,X4,X3) )
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f95,plain,
! [X0,X1] :
( ~ relstr_element_smaller(sK2,sK3,sK6(X0,X1,sK2))
| ex_inf_of_relstr_set(sK2,sK3)
| sP0(X0,X1,sK2)
| ~ relstr_element_smaller(sK2,X1,sK5)
| sK6(X0,X1,sK2) = sK5 ),
inference(subsumption_resolution,[],[f94,f74]) ).
fof(f94,plain,
! [X0,X1] :
( sK6(X0,X1,sK2) = sK5
| ~ element(sK5,sF11)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ relstr_element_smaller(sK2,X1,sK5)
| sP0(X0,X1,sK2)
| ~ relstr_element_smaller(sK2,sK3,sK6(X0,X1,sK2)) ),
inference(forward_demodulation,[],[f93,f69]) ).
fof(f93,plain,
! [X0,X1] :
( ex_inf_of_relstr_set(sK2,sK3)
| sP0(X0,X1,sK2)
| ~ relstr_element_smaller(sK2,X1,sK5)
| sK6(X0,X1,sK2) = sK5
| ~ relstr_element_smaller(sK2,sK3,sK6(X0,X1,sK2))
| ~ element(sK5,the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f91,f75]) ).
fof(f75,plain,
! [X0,X1] :
( element(sK6(X0,X1,sK2),sF11)
| sP0(X0,X1,sK2) ),
inference(superposition,[],[f57,f69]) ).
fof(f57,plain,
! [X2,X0,X1] :
( element(sK6(X0,X1,X2),the_carrier(X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f91,plain,
! [X0,X1] :
( sP0(X0,X1,sK2)
| ~ relstr_element_smaller(sK2,sK3,sK6(X0,X1,sK2))
| ~ element(sK6(X0,X1,sK2),sF11)
| ~ relstr_element_smaller(sK2,X1,sK5)
| ~ element(sK5,the_carrier(sK2))
| sK6(X0,X1,sK2) = sK5
| ex_inf_of_relstr_set(sK2,sK3) ),
inference(resolution,[],[f89,f59]) ).
fof(f59,plain,
! [X2,X0,X1,X4] :
( related(X2,X4,sK6(X0,X1,X2))
| sP0(X0,X1,X2)
| ~ element(X4,the_carrier(X2))
| ~ relstr_element_smaller(X2,X1,X4) ),
inference(cnf_transformation,[],[f36]) ).
fof(f89,plain,
! [X0] :
( ~ related(sK2,sK5,X0)
| ~ element(X0,sF11)
| sK5 = X0
| ~ relstr_element_smaller(sK2,sK3,X0)
| ex_inf_of_relstr_set(sK2,sK3) ),
inference(subsumption_resolution,[],[f85,f74]) ).
fof(f85,plain,
! [X0] :
( ~ element(sK5,sF11)
| ~ related(sK2,sK5,X0)
| sK5 = X0
| ex_inf_of_relstr_set(sK2,sK3)
| ~ relstr_element_smaller(sK2,sK3,X0)
| ~ element(X0,sF11) ),
inference(duplicate_literal_removal,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ~ relstr_element_smaller(sK2,sK3,X0)
| ~ element(sK5,sF11)
| sK5 = X0
| ~ element(X0,sF11)
| ~ element(X0,sF11)
| ~ related(sK2,sK5,X0)
| ex_inf_of_relstr_set(sK2,sK3) ),
inference(resolution,[],[f82,f73]) ).
fof(f73,plain,
! [X5] :
( related(sK2,X5,sK5)
| ~ relstr_element_smaller(sK2,sK3,X5)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(X5,sF11) ),
inference(definition_folding,[],[f48,f69]) ).
fof(f48,plain,
! [X5] :
( related(sK2,X5,sK5)
| ~ element(X5,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,X5)
| ex_inf_of_relstr_set(sK2,sK3) ),
inference(cnf_transformation,[],[f31]) ).
fof(f82,plain,
! [X0,X1] :
( ~ related(sK2,X1,X0)
| ~ element(X0,sF11)
| ~ element(X1,sF11)
| ~ related(sK2,X0,X1)
| X0 = X1 ),
inference(forward_demodulation,[],[f81,f69]) ).
fof(f81,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(sK2))
| X0 = X1
| ~ element(X0,sF11)
| ~ related(sK2,X0,X1)
| ~ related(sK2,X1,X0) ),
inference(forward_demodulation,[],[f80,f69]) ).
fof(f80,plain,
! [X0,X1] :
( ~ related(sK2,X0,X1)
| ~ related(sK2,X1,X0)
| ~ element(X0,the_carrier(sK2))
| ~ element(X1,the_carrier(sK2))
| X0 = X1 ),
inference(subsumption_resolution,[],[f79,f53]) ).
fof(f53,plain,
rel_str(sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f79,plain,
! [X0,X1] :
( ~ related(sK2,X0,X1)
| ~ element(X0,the_carrier(sK2))
| ~ element(X1,the_carrier(sK2))
| ~ related(sK2,X1,X0)
| X0 = X1
| ~ rel_str(sK2) ),
inference(resolution,[],[f44,f52]) ).
fof(f52,plain,
antisymmetric_relstr(sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ antisymmetric_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ related(X0,X1,X2)
| X1 = X2
| ~ related(X0,X2,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ related(X0,X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ related(X0,X1,X2)
| X1 = X2 ) ) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ related(X0,X2,X1)
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( related(X0,X2,X1)
& related(X0,X1,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_orders_2) ).
fof(f133,plain,
( ex_inf_of_relstr_set(sK2,sK3)
| sK6(sK5,sK3,sK2) = sK5
| ~ relstr_element_smaller(sK2,sK3,sK5)
| ~ sP0(sK5,sK3,sK2)
| ~ element(sK5,sF11) ),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f132,plain,
( ~ sP0(sK5,sK3,sK2)
| ~ relstr_element_smaller(sK2,sK3,sK5)
| ex_inf_of_relstr_set(sK2,sK3)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK5,sF11)
| sK6(sK5,sK3,sK2) = sK5 ),
inference(resolution,[],[f131,f106]) ).
fof(f106,plain,
! [X0,X1] :
( element(sK8(sK2,X0,X1),sF11)
| ex_inf_of_relstr_set(sK2,X0)
| ~ element(X1,sF11)
| ~ sP0(X1,X0,sK2)
| ~ relstr_element_smaller(sK2,X0,X1) ),
inference(subsumption_resolution,[],[f105,f53]) ).
fof(f105,plain,
! [X0,X1] :
( ~ rel_str(sK2)
| ex_inf_of_relstr_set(sK2,X0)
| ~ sP0(X1,X0,sK2)
| ~ element(X1,sF11)
| element(sK8(sK2,X0,X1),sF11)
| ~ relstr_element_smaller(sK2,X0,X1) ),
inference(superposition,[],[f67,f69]) ).
fof(f67,plain,
! [X2,X0,X1] :
( element(sK8(X0,X1,X2),the_carrier(X0))
| ~ sP0(X2,X1,X0)
| ~ rel_str(X0)
| ~ relstr_element_smaller(X0,X1,X2)
| ex_inf_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ sP0(X2,X1,X0)
| ( element(sK8(X0,X1,X2),the_carrier(X0))
& ~ related(X0,sK8(X0,X1,X2),X2)
& relstr_element_smaller(X0,X1,sK8(X0,X1,X2)) )
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2) ) )
& ( ( sP0(sK9(X0,X1),X1,X0)
& ! [X5] :
( ~ element(X5,the_carrier(X0))
| related(X0,X5,sK9(X0,X1))
| ~ relstr_element_smaller(X0,X1,X5) )
& element(sK9(X0,X1),the_carrier(X0))
& relstr_element_smaller(X0,X1,sK9(X0,X1)) )
| ~ ex_inf_of_relstr_set(X0,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f38,f40,f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ? [X3] :
( element(X3,the_carrier(X0))
& ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3) )
=> ( element(sK8(X0,X1,X2),the_carrier(X0))
& ~ related(X0,sK8(X0,X1,X2),X2)
& relstr_element_smaller(X0,X1,sK8(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X4] :
( sP0(X4,X1,X0)
& ! [X5] :
( ~ element(X5,the_carrier(X0))
| related(X0,X5,X4)
| ~ relstr_element_smaller(X0,X1,X5) )
& element(X4,the_carrier(X0))
& relstr_element_smaller(X0,X1,X4) )
=> ( sP0(sK9(X0,X1),X1,X0)
& ! [X5] :
( ~ element(X5,the_carrier(X0))
| related(X0,X5,sK9(X0,X1))
| ~ relstr_element_smaller(X0,X1,X5) )
& element(sK9(X0,X1),the_carrier(X0))
& relstr_element_smaller(X0,X1,sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ sP0(X2,X1,X0)
| ? [X3] :
( element(X3,the_carrier(X0))
& ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3) )
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2) ) )
& ( ? [X4] :
( sP0(X4,X1,X0)
& ! [X5] :
( ~ element(X5,the_carrier(X0))
| related(X0,X5,X4)
| ~ relstr_element_smaller(X0,X1,X5) )
& element(X4,the_carrier(X0))
& relstr_element_smaller(X0,X1,X4) )
| ~ ex_inf_of_relstr_set(X0,X1) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ sP0(X2,X1,X0)
| ? [X5] :
( element(X5,the_carrier(X0))
& ~ related(X0,X5,X2)
& relstr_element_smaller(X0,X1,X5) )
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2) ) )
& ( ? [X2] :
( sP0(X2,X1,X0)
& ! [X5] :
( ~ element(X5,the_carrier(X0))
| related(X0,X5,X2)
| ~ relstr_element_smaller(X0,X1,X5) )
& element(X2,the_carrier(X0))
& relstr_element_smaller(X0,X1,X2) )
| ~ ex_inf_of_relstr_set(X0,X1) ) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( sP0(X2,X1,X0)
& ! [X5] :
( ~ element(X5,the_carrier(X0))
| related(X0,X5,X2)
| ~ relstr_element_smaller(X0,X1,X5) )
& element(X2,the_carrier(X0))
& relstr_element_smaller(X0,X1,X2) ) ) ),
inference(definition_folding,[],[f18,f21]) ).
fof(f18,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( X2 = X3
| ? [X4] :
( relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0))
& ~ related(X0,X4,X3) )
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& ! [X5] :
( ~ element(X5,the_carrier(X0))
| related(X0,X5,X2)
| ~ relstr_element_smaller(X0,X1,X5) )
& element(X2,the_carrier(X0))
& relstr_element_smaller(X0,X1,X2) ) ) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ! [X5] :
( related(X0,X5,X2)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& ! [X3] :
( X2 = X3
| ? [X4] :
( ~ related(X0,X4,X3)
& relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
<=> ex_inf_of_relstr_set(X0,X1) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ? [X2] :
( ! [X5] :
( element(X5,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X5)
=> related(X0,X5,X2) ) )
& relstr_element_smaller(X0,X1,X2)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( ! [X4] :
( element(X4,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X4)
=> related(X0,X4,X3) ) )
& relstr_element_smaller(X0,X1,X3) )
=> X2 = X3 ) )
& element(X2,the_carrier(X0)) )
<=> ex_inf_of_relstr_set(X0,X1) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( relstr_element_smaller(X0,X1,X2)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( ! [X4] :
( element(X4,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X4)
=> related(X0,X4,X3) ) )
& relstr_element_smaller(X0,X1,X3) )
=> X2 = X3 ) )
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X3)
=> related(X0,X3,X2) ) )
& element(X2,the_carrier(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_yellow_0) ).
fof(f131,plain,
( ~ element(sK8(sK2,sK3,sK5),sF11)
| ex_inf_of_relstr_set(sK2,sK3)
| sK6(sK5,sK3,sK2) = sK5 ),
inference(subsumption_resolution,[],[f130,f74]) ).
fof(f130,plain,
( sK6(sK5,sK3,sK2) = sK5
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK5,sF11)
| ~ element(sK8(sK2,sK3,sK5),sF11) ),
inference(forward_demodulation,[],[f129,f69]) ).
fof(f129,plain,
( ~ element(sK5,the_carrier(sK2))
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK8(sK2,sK3,sK5),sF11)
| sK6(sK5,sK3,sK2) = sK5 ),
inference(subsumption_resolution,[],[f128,f47]) ).
fof(f128,plain,
( ~ relstr_element_smaller(sK2,sK3,sK5)
| ~ element(sK8(sK2,sK3,sK5),sF11)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK5,the_carrier(sK2))
| sK6(sK5,sK3,sK2) = sK5 ),
inference(subsumption_resolution,[],[f127,f104]) ).
fof(f127,plain,
( ~ element(sK5,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,sK5)
| sK6(sK5,sK3,sK2) = sK5
| ~ sP0(sK5,sK3,sK2)
| ~ element(sK8(sK2,sK3,sK5),sF11)
| ex_inf_of_relstr_set(sK2,sK3) ),
inference(subsumption_resolution,[],[f126,f53]) ).
fof(f126,plain,
( ~ element(sK8(sK2,sK3,sK5),sF11)
| ~ element(sK5,the_carrier(sK2))
| ~ rel_str(sK2)
| ~ relstr_element_smaller(sK2,sK3,sK5)
| ~ sP0(sK5,sK3,sK2)
| sK6(sK5,sK3,sK2) = sK5
| ex_inf_of_relstr_set(sK2,sK3) ),
inference(duplicate_literal_removal,[],[f125]) ).
fof(f125,plain,
( ~ rel_str(sK2)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK8(sK2,sK3,sK5),sF11)
| ~ element(sK5,the_carrier(sK2))
| ex_inf_of_relstr_set(sK2,sK3)
| ~ sP0(sK5,sK3,sK2)
| ~ relstr_element_smaller(sK2,sK3,sK5)
| sK6(sK5,sK3,sK2) = sK5 ),
inference(resolution,[],[f122,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X0,X1,sK8(X0,X1,X2))
| ~ relstr_element_smaller(X0,X1,X2)
| ~ sP0(X2,X1,X0)
| ~ rel_str(X0)
| ex_inf_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f122,plain,
( ~ relstr_element_smaller(sK2,sK3,sK8(sK2,sK3,sK5))
| sK6(sK5,sK3,sK2) = sK5
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK8(sK2,sK3,sK5),sF11) ),
inference(subsumption_resolution,[],[f121,f47]) ).
fof(f121,plain,
( sK6(sK5,sK3,sK2) = sK5
| ex_inf_of_relstr_set(sK2,sK3)
| ~ relstr_element_smaller(sK2,sK3,sK5)
| ~ relstr_element_smaller(sK2,sK3,sK8(sK2,sK3,sK5))
| ~ element(sK8(sK2,sK3,sK5),sF11) ),
inference(subsumption_resolution,[],[f120,f74]) ).
fof(f120,plain,
( ~ element(sK5,sF11)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK8(sK2,sK3,sK5),sF11)
| ~ relstr_element_smaller(sK2,sK3,sK5)
| sK6(sK5,sK3,sK2) = sK5
| ~ relstr_element_smaller(sK2,sK3,sK8(sK2,sK3,sK5)) ),
inference(duplicate_literal_removal,[],[f118]) ).
fof(f118,plain,
( ~ element(sK5,sF11)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK8(sK2,sK3,sK5),sF11)
| ex_inf_of_relstr_set(sK2,sK3)
| sK6(sK5,sK3,sK2) = sK5
| ~ relstr_element_smaller(sK2,sK3,sK5)
| ~ relstr_element_smaller(sK2,sK3,sK8(sK2,sK3,sK5)) ),
inference(resolution,[],[f116,f73]) ).
fof(f116,plain,
! [X0] :
( ~ related(sK2,sK8(sK2,sK3,X0),X0)
| ex_inf_of_relstr_set(sK2,sK3)
| sK5 = sK6(X0,sK3,sK2)
| ~ relstr_element_smaller(sK2,sK3,X0)
| ~ element(X0,sF11) ),
inference(forward_demodulation,[],[f115,f69]) ).
fof(f115,plain,
! [X0] :
( sK5 = sK6(X0,sK3,sK2)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ relstr_element_smaller(sK2,sK3,X0)
| ~ related(sK2,sK8(sK2,sK3,X0),X0)
| ~ element(X0,the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f111,f53]) ).
fof(f111,plain,
! [X0] :
( sK5 = sK6(X0,sK3,sK2)
| ~ rel_str(sK2)
| ~ related(sK2,sK8(sK2,sK3,X0),X0)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ relstr_element_smaller(sK2,sK3,X0)
| ~ element(X0,the_carrier(sK2)) ),
inference(duplicate_literal_removal,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ex_inf_of_relstr_set(sK2,sK3)
| ~ related(sK2,sK8(sK2,sK3,X0),X0)
| sK5 = sK6(X0,sK3,sK2)
| ~ relstr_element_smaller(sK2,sK3,X0)
| ~ element(X0,the_carrier(sK2))
| ~ rel_str(sK2)
| ex_inf_of_relstr_set(sK2,sK3) ),
inference(resolution,[],[f104,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ sP0(X2,X1,X0)
| ~ rel_str(X0)
| ex_inf_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ related(X0,sK8(X0,X1,X2),X2)
| ~ relstr_element_smaller(X0,X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f221,plain,
( sK6(sK5,sK3,sK2) = sK5
| ~ ex_inf_of_relstr_set(sK2,sK3) ),
inference(subsumption_resolution,[],[f220,f53]) ).
fof(f220,plain,
( ~ rel_str(sK2)
| ~ ex_inf_of_relstr_set(sK2,sK3)
| sK6(sK5,sK3,sK2) = sK5 ),
inference(resolution,[],[f219,f61]) ).
fof(f61,plain,
! [X0,X1] :
( relstr_element_smaller(X0,X1,sK9(X0,X1))
| ~ rel_str(X0)
| ~ ex_inf_of_relstr_set(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f219,plain,
( ~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3))
| sK6(sK5,sK3,sK2) = sK5 ),
inference(subsumption_resolution,[],[f218,f143]) ).
fof(f143,plain,
( element(sK9(sK2,sK3),sF11)
| sK6(sK5,sK3,sK2) = sK5 ),
inference(forward_demodulation,[],[f142,f69]) ).
fof(f142,plain,
( element(sK9(sK2,sK3),the_carrier(sK2))
| sK6(sK5,sK3,sK2) = sK5 ),
inference(subsumption_resolution,[],[f141,f53]) ).
fof(f141,plain,
( element(sK9(sK2,sK3),the_carrier(sK2))
| sK6(sK5,sK3,sK2) = sK5
| ~ rel_str(sK2) ),
inference(resolution,[],[f136,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ ex_inf_of_relstr_set(X0,X1)
| element(sK9(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f218,plain,
( ~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3))
| ~ element(sK9(sK2,sK3),sF11)
| sK6(sK5,sK3,sK2) = sK5 ),
inference(duplicate_literal_removal,[],[f217]) ).
fof(f217,plain,
( sK6(sK5,sK3,sK2) = sK5
| ~ element(sK9(sK2,sK3),sF11)
| ~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3))
| sK6(sK5,sK3,sK2) = sK5 ),
inference(resolution,[],[f215,f137]) ).
fof(f137,plain,
! [X0] :
( relstr_element_smaller(sK2,sK3,sK4(X0))
| ~ relstr_element_smaller(sK2,sK3,X0)
| sK6(sK5,sK3,sK2) = sK5
| ~ element(X0,sF11) ),
inference(resolution,[],[f136,f72]) ).
fof(f72,plain,
! [X2] :
( ~ ex_inf_of_relstr_set(sK2,sK3)
| ~ relstr_element_smaller(sK2,sK3,X2)
| ~ element(X2,sF11)
| relstr_element_smaller(sK2,sK3,sK4(X2)) ),
inference(definition_folding,[],[f49,f69]) ).
fof(f49,plain,
! [X2] :
( relstr_element_smaller(sK2,sK3,sK4(X2))
| ~ relstr_element_smaller(sK2,sK3,X2)
| ~ element(X2,the_carrier(sK2))
| ~ ex_inf_of_relstr_set(sK2,sK3) ),
inference(cnf_transformation,[],[f31]) ).
fof(f215,plain,
( ~ relstr_element_smaller(sK2,sK3,sK4(sK9(sK2,sK3)))
| sK6(sK5,sK3,sK2) = sK5 ),
inference(subsumption_resolution,[],[f214,f136]) ).
fof(f214,plain,
( ~ relstr_element_smaller(sK2,sK3,sK4(sK9(sK2,sK3)))
| sK6(sK5,sK3,sK2) = sK5
| ~ ex_inf_of_relstr_set(sK2,sK3) ),
inference(subsumption_resolution,[],[f213,f53]) ).
fof(f213,plain,
( ~ relstr_element_smaller(sK2,sK3,sK4(sK9(sK2,sK3)))
| ~ rel_str(sK2)
| ~ ex_inf_of_relstr_set(sK2,sK3)
| sK6(sK5,sK3,sK2) = sK5 ),
inference(resolution,[],[f174,f61]) ).
fof(f174,plain,
( ~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3))
| sK6(sK5,sK3,sK2) = sK5
| ~ relstr_element_smaller(sK2,sK3,sK4(sK9(sK2,sK3))) ),
inference(subsumption_resolution,[],[f173,f143]) ).
fof(f173,plain,
( sK6(sK5,sK3,sK2) = sK5
| ~ element(sK9(sK2,sK3),sF11)
| ~ relstr_element_smaller(sK2,sK3,sK4(sK9(sK2,sK3)))
| ~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3)) ),
inference(subsumption_resolution,[],[f172,f152]) ).
fof(f152,plain,
( element(sK4(sK9(sK2,sK3)),sF11)
| sK6(sK5,sK3,sK2) = sK5 ),
inference(subsumption_resolution,[],[f151,f136]) ).
fof(f151,plain,
( sK6(sK5,sK3,sK2) = sK5
| ~ ex_inf_of_relstr_set(sK2,sK3)
| element(sK4(sK9(sK2,sK3)),sF11) ),
inference(subsumption_resolution,[],[f150,f143]) ).
fof(f150,plain,
( element(sK4(sK9(sK2,sK3)),sF11)
| ~ ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK9(sK2,sK3),sF11)
| sK6(sK5,sK3,sK2) = sK5 ),
inference(subsumption_resolution,[],[f148,f53]) ).
fof(f148,plain,
( sK6(sK5,sK3,sK2) = sK5
| element(sK4(sK9(sK2,sK3)),sF11)
| ~ rel_str(sK2)
| ~ ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK9(sK2,sK3),sF11) ),
inference(resolution,[],[f139,f61]) ).
fof(f139,plain,
! [X2] :
( ~ relstr_element_smaller(sK2,sK3,X2)
| ~ element(X2,sF11)
| element(sK4(X2),sF11)
| sK6(sK5,sK3,sK2) = sK5 ),
inference(resolution,[],[f136,f71]) ).
fof(f71,plain,
! [X2] :
( ~ ex_inf_of_relstr_set(sK2,sK3)
| element(sK4(X2),sF11)
| ~ relstr_element_smaller(sK2,sK3,X2)
| ~ element(X2,sF11) ),
inference(definition_folding,[],[f50,f69,f69]) ).
fof(f50,plain,
! [X2] :
( element(sK4(X2),the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,X2)
| ~ element(X2,the_carrier(sK2))
| ~ ex_inf_of_relstr_set(sK2,sK3) ),
inference(cnf_transformation,[],[f31]) ).
fof(f172,plain,
( ~ element(sK9(sK2,sK3),sF11)
| ~ relstr_element_smaller(sK2,sK3,sK4(sK9(sK2,sK3)))
| ~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3))
| sK6(sK5,sK3,sK2) = sK5
| ~ element(sK4(sK9(sK2,sK3)),sF11) ),
inference(duplicate_literal_removal,[],[f167]) ).
fof(f167,plain,
( ~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3))
| ~ element(sK4(sK9(sK2,sK3)),sF11)
| ~ element(sK9(sK2,sK3),sF11)
| ~ relstr_element_smaller(sK2,sK3,sK4(sK9(sK2,sK3)))
| sK6(sK5,sK3,sK2) = sK5
| sK6(sK5,sK3,sK2) = sK5 ),
inference(resolution,[],[f145,f138]) ).
fof(f138,plain,
! [X1] :
( ~ related(sK2,sK4(X1),X1)
| ~ element(X1,sF11)
| sK6(sK5,sK3,sK2) = sK5
| ~ relstr_element_smaller(sK2,sK3,X1) ),
inference(resolution,[],[f136,f70]) ).
fof(f70,plain,
! [X2] :
( ~ ex_inf_of_relstr_set(sK2,sK3)
| ~ related(sK2,sK4(X2),X2)
| ~ relstr_element_smaller(sK2,sK3,X2)
| ~ element(X2,sF11) ),
inference(definition_folding,[],[f51,f69]) ).
fof(f51,plain,
! [X2] :
( ~ related(sK2,sK4(X2),X2)
| ~ relstr_element_smaller(sK2,sK3,X2)
| ~ element(X2,the_carrier(sK2))
| ~ ex_inf_of_relstr_set(sK2,sK3) ),
inference(cnf_transformation,[],[f31]) ).
fof(f145,plain,
! [X3] :
( related(sK2,X3,sK9(sK2,sK3))
| sK6(sK5,sK3,sK2) = sK5
| ~ relstr_element_smaller(sK2,sK3,X3)
| ~ element(X3,sF11) ),
inference(forward_demodulation,[],[f144,f69]) ).
fof(f144,plain,
! [X3] :
( ~ element(X3,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,X3)
| related(sK2,X3,sK9(sK2,sK3))
| sK6(sK5,sK3,sK2) = sK5 ),
inference(subsumption_resolution,[],[f140,f53]) ).
fof(f140,plain,
! [X3] :
( related(sK2,X3,sK9(sK2,sK3))
| ~ rel_str(sK2)
| ~ element(X3,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,X3)
| sK6(sK5,sK3,sK2) = sK5 ),
inference(resolution,[],[f136,f63]) ).
fof(f63,plain,
! [X0,X1,X5] :
( ~ ex_inf_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| ~ element(X5,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X5)
| related(X0,X5,sK9(X0,X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f60,plain,
! [X2,X0,X1] :
( sK6(X0,X1,X2) != X0
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f291,plain,
( ex_inf_of_relstr_set(sK2,sK3)
| ~ sP0(sK5,sK3,sK2)
| ~ element(sK5,sF11)
| ~ relstr_element_smaller(sK2,sK3,sK5) ),
inference(duplicate_literal_removal,[],[f290]) ).
fof(f290,plain,
( ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK5,sF11)
| ~ relstr_element_smaller(sK2,sK3,sK5)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ sP0(sK5,sK3,sK2) ),
inference(resolution,[],[f289,f106]) ).
fof(f289,plain,
( ~ element(sK8(sK2,sK3,sK5),sF11)
| ex_inf_of_relstr_set(sK2,sK3) ),
inference(subsumption_resolution,[],[f288,f74]) ).
fof(f288,plain,
( ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK8(sK2,sK3,sK5),sF11)
| ~ element(sK5,sF11) ),
inference(forward_demodulation,[],[f287,f69]) ).
fof(f287,plain,
( ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK8(sK2,sK3,sK5),sF11)
| ~ element(sK5,the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f286,f47]) ).
fof(f286,plain,
( ~ element(sK8(sK2,sK3,sK5),sF11)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK5,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,sK5) ),
inference(subsumption_resolution,[],[f285,f231]) ).
fof(f285,plain,
( ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK8(sK2,sK3,sK5),sF11)
| ~ element(sK5,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,sK5)
| ~ sP0(sK5,sK3,sK2) ),
inference(subsumption_resolution,[],[f284,f53]) ).
fof(f284,plain,
( ~ rel_str(sK2)
| ~ element(sK5,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,sK5)
| ~ sP0(sK5,sK3,sK2)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK8(sK2,sK3,sK5),sF11) ),
inference(duplicate_literal_removal,[],[f283]) ).
fof(f283,plain,
( ex_inf_of_relstr_set(sK2,sK3)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK8(sK2,sK3,sK5),sF11)
| ~ relstr_element_smaller(sK2,sK3,sK5)
| ~ element(sK5,the_carrier(sK2))
| ~ rel_str(sK2)
| ~ sP0(sK5,sK3,sK2) ),
inference(resolution,[],[f270,f65]) ).
fof(f270,plain,
( ~ relstr_element_smaller(sK2,sK3,sK8(sK2,sK3,sK5))
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK8(sK2,sK3,sK5),sF11) ),
inference(duplicate_literal_removal,[],[f269]) ).
fof(f269,plain,
( ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK8(sK2,sK3,sK5),sF11)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ relstr_element_smaller(sK2,sK3,sK8(sK2,sK3,sK5)) ),
inference(resolution,[],[f241,f73]) ).
fof(f241,plain,
( ~ related(sK2,sK8(sK2,sK3,sK5),sK5)
| ex_inf_of_relstr_set(sK2,sK3) ),
inference(subsumption_resolution,[],[f240,f74]) ).
fof(f240,plain,
( ex_inf_of_relstr_set(sK2,sK3)
| ~ related(sK2,sK8(sK2,sK3,sK5),sK5)
| ~ element(sK5,sF11) ),
inference(forward_demodulation,[],[f239,f69]) ).
fof(f239,plain,
( ~ related(sK2,sK8(sK2,sK3,sK5),sK5)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK5,the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f238,f47]) ).
fof(f238,plain,
( ~ related(sK2,sK8(sK2,sK3,sK5),sK5)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK5,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,sK5) ),
inference(subsumption_resolution,[],[f232,f53]) ).
fof(f232,plain,
( ~ rel_str(sK2)
| ~ relstr_element_smaller(sK2,sK3,sK5)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ related(sK2,sK8(sK2,sK3,sK5),sK5)
| ~ element(sK5,the_carrier(sK2)) ),
inference(resolution,[],[f231,f66]) ).
fof(f412,plain,
~ ex_inf_of_relstr_set(sK2,sK3),
inference(subsumption_resolution,[],[f411,f53]) ).
fof(f411,plain,
( ~ rel_str(sK2)
| ~ ex_inf_of_relstr_set(sK2,sK3) ),
inference(resolution,[],[f410,f61]) ).
fof(f410,plain,
~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3)),
inference(subsumption_resolution,[],[f409,f307]) ).
fof(f307,plain,
element(sK9(sK2,sK3),sF11),
inference(forward_demodulation,[],[f306,f69]) ).
fof(f306,plain,
element(sK9(sK2,sK3),the_carrier(sK2)),
inference(subsumption_resolution,[],[f301,f53]) ).
fof(f301,plain,
( element(sK9(sK2,sK3),the_carrier(sK2))
| ~ rel_str(sK2) ),
inference(resolution,[],[f294,f62]) ).
fof(f409,plain,
( ~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3))
| ~ element(sK9(sK2,sK3),sF11) ),
inference(resolution,[],[f403,f295]) ).
fof(f295,plain,
! [X0] :
( relstr_element_smaller(sK2,sK3,sK4(X0))
| ~ relstr_element_smaller(sK2,sK3,X0)
| ~ element(X0,sF11) ),
inference(resolution,[],[f294,f72]) ).
fof(f403,plain,
~ relstr_element_smaller(sK2,sK3,sK4(sK9(sK2,sK3))),
inference(subsumption_resolution,[],[f402,f53]) ).
fof(f402,plain,
( ~ relstr_element_smaller(sK2,sK3,sK4(sK9(sK2,sK3)))
| ~ rel_str(sK2) ),
inference(subsumption_resolution,[],[f401,f294]) ).
fof(f401,plain,
( ~ relstr_element_smaller(sK2,sK3,sK4(sK9(sK2,sK3)))
| ~ ex_inf_of_relstr_set(sK2,sK3)
| ~ rel_str(sK2) ),
inference(resolution,[],[f395,f61]) ).
fof(f395,plain,
( ~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3))
| ~ relstr_element_smaller(sK2,sK3,sK4(sK9(sK2,sK3))) ),
inference(subsumption_resolution,[],[f394,f307]) ).
fof(f394,plain,
( ~ element(sK9(sK2,sK3),sF11)
| ~ relstr_element_smaller(sK2,sK3,sK4(sK9(sK2,sK3)))
| ~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3)) ),
inference(subsumption_resolution,[],[f386,f321]) ).
fof(f321,plain,
element(sK4(sK9(sK2,sK3)),sF11),
inference(subsumption_resolution,[],[f320,f294]) ).
fof(f320,plain,
( ~ ex_inf_of_relstr_set(sK2,sK3)
| element(sK4(sK9(sK2,sK3)),sF11) ),
inference(subsumption_resolution,[],[f319,f53]) ).
fof(f319,plain,
( ~ rel_str(sK2)
| ~ ex_inf_of_relstr_set(sK2,sK3)
| element(sK4(sK9(sK2,sK3)),sF11) ),
inference(subsumption_resolution,[],[f317,f307]) ).
fof(f317,plain,
( ~ element(sK9(sK2,sK3),sF11)
| ~ ex_inf_of_relstr_set(sK2,sK3)
| ~ rel_str(sK2)
| element(sK4(sK9(sK2,sK3)),sF11) ),
inference(resolution,[],[f297,f61]) ).
fof(f297,plain,
! [X2] :
( ~ relstr_element_smaller(sK2,sK3,X2)
| ~ element(X2,sF11)
| element(sK4(X2),sF11) ),
inference(resolution,[],[f294,f71]) ).
fof(f386,plain,
( ~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3))
| ~ element(sK4(sK9(sK2,sK3)),sF11)
| ~ element(sK9(sK2,sK3),sF11)
| ~ relstr_element_smaller(sK2,sK3,sK4(sK9(sK2,sK3))) ),
inference(resolution,[],[f309,f296]) ).
fof(f296,plain,
! [X1] :
( ~ related(sK2,sK4(X1),X1)
| ~ relstr_element_smaller(sK2,sK3,X1)
| ~ element(X1,sF11) ),
inference(resolution,[],[f294,f70]) ).
fof(f309,plain,
! [X5] :
( related(sK2,X5,sK9(sK2,sK3))
| ~ relstr_element_smaller(sK2,sK3,X5)
| ~ element(X5,sF11) ),
inference(forward_demodulation,[],[f308,f69]) ).
fof(f308,plain,
! [X5] :
( related(sK2,X5,sK9(sK2,sK3))
| ~ relstr_element_smaller(sK2,sK3,X5)
| ~ element(X5,the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f300,f53]) ).
fof(f300,plain,
! [X5] :
( ~ element(X5,the_carrier(sK2))
| related(sK2,X5,sK9(sK2,sK3))
| ~ rel_str(sK2)
| ~ relstr_element_smaller(sK2,sK3,X5) ),
inference(resolution,[],[f294,f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU357+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_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 15:11:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.55 % (31473)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)
% 0.20/0.55 % (31474)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (31489)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)
% 0.20/0.56 % (31490)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)
% 0.20/0.56 % (31481)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)
% 0.20/0.56 % (31482)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)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.57 % (31474)Instruction limit reached!
% 0.20/0.57 % (31474)------------------------------
% 0.20/0.57 % (31474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (31474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (31474)Termination reason: Unknown
% 1.70/0.58 % (31474)Termination phase: Saturation
% 1.70/0.58
% 1.70/0.58 % (31474)Memory used [KB]: 5500
% 1.70/0.58 % (31474)Time elapsed: 0.137 s
% 1.70/0.58 % (31474)Instructions burned: 7 (million)
% 1.70/0.58 % (31474)------------------------------
% 1.70/0.58 % (31474)------------------------------
% 1.70/0.59 TRYING [4]
% 1.70/0.59 % (31469)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)
% 1.70/0.59 % (31493)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)
% 1.86/0.60 % (31472)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)
% 1.86/0.60 % (31471)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.86/0.60 % (31477)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.86/0.61 % (31486)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)
% 1.86/0.61 % (31470)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)
% 1.86/0.61 % (31488)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.86/0.61 % (31485)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.86/0.61 % (31492)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.86/0.62 % (31479)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.86/0.62 % (31467)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)
% 1.86/0.62 % (31478)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)
% 1.86/0.62 % (31496)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)
% 1.86/0.62 % (31495)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.86/0.62 % (31476)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)
% 1.86/0.62 TRYING [5]
% 1.86/0.62 % (31482)First to succeed.
% 1.86/0.63 % (31494)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)
% 1.86/0.63 % (31484)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.86/0.63 TRYING [1]
% 1.86/0.63 TRYING [2]
% 1.86/0.63 % (31487)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)
% 1.86/0.63 % (31480)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.86/0.63 % (31473)Instruction limit reached!
% 1.86/0.63 % (31473)------------------------------
% 1.86/0.63 % (31473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.63 % (31475)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.86/0.63 % (31473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.63 % (31473)Termination reason: Unknown
% 1.86/0.63 % (31473)Termination phase: Finite model building SAT solving
% 1.86/0.63
% 1.86/0.63 % (31473)Memory used [KB]: 7419
% 1.86/0.63 % (31473)Time elapsed: 0.215 s
% 1.86/0.63 % (31473)Instructions burned: 51 (million)
% 1.86/0.63 % (31473)------------------------------
% 1.86/0.63 % (31473)------------------------------
% 1.86/0.64 % (31475)Instruction limit reached!
% 1.86/0.64 % (31475)------------------------------
% 1.86/0.64 % (31475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.64 % (31475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.64 % (31475)Termination reason: Unknown
% 1.86/0.64 % (31475)Termination phase: Preprocessing 3
% 1.86/0.64
% 1.86/0.64 % (31475)Memory used [KB]: 895
% 1.86/0.64 % (31475)Time elapsed: 0.003 s
% 1.86/0.64 % (31475)Instructions burned: 2 (million)
% 1.86/0.64 % (31475)------------------------------
% 1.86/0.64 % (31475)------------------------------
% 1.86/0.64 % (31482)Refutation found. Thanks to Tanya!
% 1.86/0.64 % SZS status Theorem for theBenchmark
% 1.86/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.86/0.64 % (31482)------------------------------
% 1.86/0.64 % (31482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.64 % (31482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.64 % (31482)Termination reason: Refutation
% 1.86/0.64
% 1.86/0.64 % (31482)Memory used [KB]: 1279
% 1.86/0.64 % (31482)Time elapsed: 0.201 s
% 1.86/0.64 % (31482)Instructions burned: 28 (million)
% 1.86/0.64 % (31482)------------------------------
% 1.86/0.64 % (31482)------------------------------
% 1.86/0.64 % (31466)Success in time 0.282 s
%------------------------------------------------------------------------------