TSTP Solution File: SEU359+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU359+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 : n012.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 0.15s 0.49s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 14
% Syntax : Number of formulae : 131 ( 14 unt; 0 def)
% Number of atoms : 703 ( 71 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 929 ( 357 ~; 375 |; 145 &)
% ( 7 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 245 ( 205 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f258,plain,
$false,
inference(subsumption_resolution,[],[f257,f212]) ).
fof(f212,plain,
relstr_set_smaller(sK2,sK4,sK3),
inference(backward_demodulation,[],[f150,f205]) ).
fof(f205,plain,
sF10 = sK3,
inference(duplicate_literal_removal,[],[f200]) ).
fof(f200,plain,
( sF10 = sK3
| sF10 = sK3 ),
inference(superposition,[],[f198,f77]) ).
fof(f77,plain,
sF10 = join_on_relstr(sK2,sK4),
introduced(function_definition,[]) ).
fof(f198,plain,
( join_on_relstr(sK2,sK4) = sK3
| sF10 = sK3 ),
inference(resolution,[],[f193,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| join_on_relstr(X2,X1) = X0 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( ( ~ relstr_set_smaller(X2,X1,X0)
| ( relstr_set_smaller(X2,X1,sK1(X0,X1,X2))
& element(sK1(X0,X1,X2),the_carrier(X2))
& ~ related(X2,X0,sK1(X0,X1,X2)) ) )
& ex_sup_of_relstr_set(X2,X1)
& join_on_relstr(X2,X1) = X0 )
| ~ sP0(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f27,f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ? [X3] :
( relstr_set_smaller(X2,X1,X3)
& element(X3,the_carrier(X2))
& ~ related(X2,X0,X3) )
=> ( relstr_set_smaller(X2,X1,sK1(X0,X1,X2))
& element(sK1(X0,X1,X2),the_carrier(X2))
& ~ related(X2,X0,sK1(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( ( ~ relstr_set_smaller(X2,X1,X0)
| ? [X3] :
( relstr_set_smaller(X2,X1,X3)
& element(X3,the_carrier(X2))
& ~ related(X2,X0,X3) ) )
& ex_sup_of_relstr_set(X2,X1)
& join_on_relstr(X2,X1) = X0 )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X1,X2,X0] :
( ( ( ~ relstr_set_smaller(X0,X2,X1)
| ? [X3] :
( relstr_set_smaller(X0,X2,X3)
& element(X3,the_carrier(X0))
& ~ related(X0,X1,X3) ) )
& ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
| ~ sP0(X1,X2,X0) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X2,X0] :
( ( ( ~ relstr_set_smaller(X0,X2,X1)
| ? [X3] :
( relstr_set_smaller(X0,X2,X3)
& element(X3,the_carrier(X0))
& ~ related(X0,X1,X3) ) )
& ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
| ~ sP0(X1,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f193,plain,
( sP0(sK3,sK4,sK2)
| sF10 = sK3 ),
inference(subsumption_resolution,[],[f192,f60]) ).
fof(f60,plain,
( sP0(sK3,sK4,sK2)
| relstr_set_smaller(sK2,sK4,sK3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( sP0(sK3,sK4,sK2)
| ( relstr_set_smaller(sK2,sK4,sK3)
& ( join_on_relstr(sK2,sK4) != sK3
| ~ ex_sup_of_relstr_set(sK2,sK4) )
& ! [X3] :
( ~ element(X3,the_carrier(sK2))
| related(sK2,sK3,X3)
| ~ relstr_set_smaller(sK2,sK4,X3) ) ) )
& element(sK3,the_carrier(sK2))
& antisymmetric_relstr(sK2)
& rel_str(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f30,f33,f32,f31]) ).
fof(f31,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( sP0(X1,X2,X0)
| ( relstr_set_smaller(X0,X2,X1)
& ( join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) )
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| related(X0,X1,X3)
| ~ relstr_set_smaller(X0,X2,X3) ) ) )
& element(X1,the_carrier(X0)) )
& antisymmetric_relstr(X0)
& rel_str(X0) )
=> ( ? [X1] :
( ? [X2] :
( sP0(X1,X2,sK2)
| ( relstr_set_smaller(sK2,X2,X1)
& ( join_on_relstr(sK2,X2) != X1
| ~ ex_sup_of_relstr_set(sK2,X2) )
& ! [X3] :
( ~ element(X3,the_carrier(sK2))
| related(sK2,X1,X3)
| ~ relstr_set_smaller(sK2,X2,X3) ) ) )
& element(X1,the_carrier(sK2)) )
& antisymmetric_relstr(sK2)
& rel_str(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
( ? [X1] :
( ? [X2] :
( sP0(X1,X2,sK2)
| ( relstr_set_smaller(sK2,X2,X1)
& ( join_on_relstr(sK2,X2) != X1
| ~ ex_sup_of_relstr_set(sK2,X2) )
& ! [X3] :
( ~ element(X3,the_carrier(sK2))
| related(sK2,X1,X3)
| ~ relstr_set_smaller(sK2,X2,X3) ) ) )
& element(X1,the_carrier(sK2)) )
=> ( ? [X2] :
( sP0(sK3,X2,sK2)
| ( relstr_set_smaller(sK2,X2,sK3)
& ( join_on_relstr(sK2,X2) != sK3
| ~ ex_sup_of_relstr_set(sK2,X2) )
& ! [X3] :
( ~ element(X3,the_carrier(sK2))
| related(sK2,sK3,X3)
| ~ relstr_set_smaller(sK2,X2,X3) ) ) )
& element(sK3,the_carrier(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
( ? [X2] :
( sP0(sK3,X2,sK2)
| ( relstr_set_smaller(sK2,X2,sK3)
& ( join_on_relstr(sK2,X2) != sK3
| ~ ex_sup_of_relstr_set(sK2,X2) )
& ! [X3] :
( ~ element(X3,the_carrier(sK2))
| related(sK2,sK3,X3)
| ~ relstr_set_smaller(sK2,X2,X3) ) ) )
=> ( sP0(sK3,sK4,sK2)
| ( relstr_set_smaller(sK2,sK4,sK3)
& ( join_on_relstr(sK2,sK4) != sK3
| ~ ex_sup_of_relstr_set(sK2,sK4) )
& ! [X3] :
( ~ element(X3,the_carrier(sK2))
| related(sK2,sK3,X3)
| ~ relstr_set_smaller(sK2,sK4,X3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( sP0(X1,X2,X0)
| ( relstr_set_smaller(X0,X2,X1)
& ( join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) )
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| related(X0,X1,X3)
| ~ relstr_set_smaller(X0,X2,X3) ) ) )
& element(X1,the_carrier(X0)) )
& antisymmetric_relstr(X0)
& rel_str(X0) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( sP0(X1,X2,X0)
| ( relstr_set_smaller(X0,X2,X1)
& ( join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) )
& ! [X4] :
( ~ element(X4,the_carrier(X0))
| related(X0,X1,X4)
| ~ relstr_set_smaller(X0,X2,X4) ) ) )
& element(X1,the_carrier(X0)) )
& antisymmetric_relstr(X0)
& rel_str(X0) ),
inference(definition_folding,[],[f19,f24]) ).
fof(f19,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ( ~ relstr_set_smaller(X0,X2,X1)
| ? [X3] :
( relstr_set_smaller(X0,X2,X3)
& element(X3,the_carrier(X0))
& ~ related(X0,X1,X3) ) )
& ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
| ( relstr_set_smaller(X0,X2,X1)
& ( join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) )
& ! [X4] :
( ~ element(X4,the_carrier(X0))
| related(X0,X1,X4)
| ~ relstr_set_smaller(X0,X2,X4) ) ) )
& element(X1,the_carrier(X0)) )
& antisymmetric_relstr(X0)
& rel_str(X0) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ( join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) )
& relstr_set_smaller(X0,X2,X1)
& ! [X4] :
( related(X0,X1,X4)
| ~ relstr_set_smaller(X0,X2,X4)
| ~ element(X4,the_carrier(X0)) ) )
| ( ( ~ relstr_set_smaller(X0,X2,X1)
| ? [X3] :
( ~ related(X0,X1,X3)
& relstr_set_smaller(X0,X2,X3)
& element(X3,the_carrier(X0)) ) )
& join_on_relstr(X0,X2) = X1
& ex_sup_of_relstr_set(X0,X2) ) )
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( relstr_set_smaller(X0,X2,X1)
& ! [X4] :
( element(X4,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X4)
=> related(X0,X1,X4) ) ) )
=> ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) )
& ( ( join_on_relstr(X0,X2) = X1
& ex_sup_of_relstr_set(X0,X2) )
=> ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) ) ) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( join_on_relstr(X0,X2) = X1
& ex_sup_of_relstr_set(X0,X2) )
=> ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) ) ) )
& ( ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) ) )
=> ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) ) ) ) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( join_on_relstr(X0,X2) = X1
& ex_sup_of_relstr_set(X0,X2) )
=> ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) ) ) )
& ( ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) ) )
=> ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_yellow_0) ).
fof(f192,plain,
( ~ relstr_set_smaller(sK2,sK4,sK3)
| sP0(sK3,sK4,sK2)
| sF10 = sK3 ),
inference(subsumption_resolution,[],[f191,f81]) ).
fof(f81,plain,
element(sK3,sF11),
inference(definition_folding,[],[f57,f79]) ).
fof(f79,plain,
the_carrier(sK2) = sF11,
introduced(function_definition,[]) ).
fof(f57,plain,
element(sK3,the_carrier(sK2)),
inference(cnf_transformation,[],[f34]) ).
fof(f191,plain,
( ~ element(sK3,sF11)
| sF10 = sK3
| ~ relstr_set_smaller(sK2,sK4,sK3)
| sP0(sK3,sK4,sK2) ),
inference(duplicate_literal_removal,[],[f190]) ).
fof(f190,plain,
( sF10 = sK3
| ~ element(sK3,sF11)
| sF10 = sK3
| sP0(sK3,sK4,sK2)
| ~ element(sK3,sF11)
| ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ relstr_set_smaller(sK2,sK4,sK3) ),
inference(resolution,[],[f187,f136]) ).
fof(f136,plain,
! [X2] :
( ~ related(sK2,X2,sK8(sK2,X2,sK4))
| sF10 = X2
| ~ element(X2,sF11)
| ~ relstr_set_smaller(sK2,sK4,X2) ),
inference(forward_demodulation,[],[f135,f79]) ).
fof(f135,plain,
! [X2] :
( ~ related(sK2,X2,sK8(sK2,X2,sK4))
| ~ relstr_set_smaller(sK2,sK4,X2)
| ~ element(X2,the_carrier(sK2))
| sF10 = X2 ),
inference(forward_demodulation,[],[f134,f77]) ).
fof(f134,plain,
! [X2] :
( ~ related(sK2,X2,sK8(sK2,X2,sK4))
| ~ relstr_set_smaller(sK2,sK4,X2)
| join_on_relstr(sK2,sK4) = X2
| ~ element(X2,the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f130,f55]) ).
fof(f55,plain,
rel_str(sK2),
inference(cnf_transformation,[],[f34]) ).
fof(f130,plain,
! [X2] :
( ~ relstr_set_smaller(sK2,sK4,X2)
| join_on_relstr(sK2,sK4) = X2
| ~ element(X2,the_carrier(sK2))
| ~ rel_str(sK2)
| ~ related(sK2,X2,sK8(sK2,X2,sK4)) ),
inference(resolution,[],[f125,f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ ex_sup_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0))
| join_on_relstr(X0,X2) = X1
| ~ relstr_set_smaller(X0,X2,X1)
| ~ rel_str(X0)
| ~ related(X0,X1,sK8(X0,X1,X2)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1,X2] :
( ~ element(X1,the_carrier(X0))
| ( ( ( ! [X3] :
( ~ relstr_set_smaller(X0,X2,X3)
| related(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| join_on_relstr(X0,X2) != X1 )
& ( join_on_relstr(X0,X2) = X1
| ( relstr_set_smaller(X0,X2,sK8(X0,X1,X2))
& ~ related(X0,X1,sK8(X0,X1,X2))
& element(sK8(X0,X1,X2),the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) ) )
| ~ ex_sup_of_relstr_set(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f45,f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ? [X4] :
( relstr_set_smaller(X0,X2,X4)
& ~ related(X0,X1,X4)
& element(X4,the_carrier(X0)) )
=> ( relstr_set_smaller(X0,X2,sK8(X0,X1,X2))
& ~ related(X0,X1,sK8(X0,X1,X2))
& element(sK8(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1,X2] :
( ~ element(X1,the_carrier(X0))
| ( ( ( ! [X3] :
( ~ relstr_set_smaller(X0,X2,X3)
| related(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| join_on_relstr(X0,X2) != X1 )
& ( join_on_relstr(X0,X2) = X1
| ? [X4] :
( relstr_set_smaller(X0,X2,X4)
& ~ related(X0,X1,X4)
& element(X4,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) ) )
| ~ ex_sup_of_relstr_set(X0,X2) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1,X2] :
( ~ element(X1,the_carrier(X0))
| ( ( ( ! [X3] :
( ~ relstr_set_smaller(X0,X2,X3)
| related(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| join_on_relstr(X0,X2) != X1 )
& ( join_on_relstr(X0,X2) = X1
| ? [X3] :
( relstr_set_smaller(X0,X2,X3)
& ~ related(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) ) )
| ~ ex_sup_of_relstr_set(X0,X2) ) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1,X2] :
( ~ element(X1,the_carrier(X0))
| ( ( ( ! [X3] :
( ~ relstr_set_smaller(X0,X2,X3)
| related(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| join_on_relstr(X0,X2) != X1 )
& ( join_on_relstr(X0,X2) = X1
| ? [X3] :
( relstr_set_smaller(X0,X2,X3)
& ~ related(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) ) )
| ~ ex_sup_of_relstr_set(X0,X2) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1,X2] :
( ~ element(X1,the_carrier(X0))
| ( ( ! [X3] :
( ~ relstr_set_smaller(X0,X2,X3)
| related(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
<=> join_on_relstr(X0,X2) = X1 )
| ~ ex_sup_of_relstr_set(X0,X2) ) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ! [X3] :
( related(X0,X1,X3)
| ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
<=> join_on_relstr(X0,X2) = X1 )
| ~ ex_sup_of_relstr_set(X0,X2)
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X1,the_carrier(X0))
=> ( ex_sup_of_relstr_set(X0,X2)
=> ( ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) )
<=> join_on_relstr(X0,X2) = X1 ) ) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( rel_str(X0)
=> ! [X2,X1] :
( element(X2,the_carrier(X0))
=> ( ex_sup_of_relstr_set(X0,X1)
=> ( ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) ) )
<=> join_on_relstr(X0,X1) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_yellow_0) ).
fof(f125,plain,
ex_sup_of_relstr_set(sK2,sK4),
inference(subsumption_resolution,[],[f124,f81]) ).
fof(f124,plain,
( ~ element(sK3,sF11)
| ex_sup_of_relstr_set(sK2,sK4) ),
inference(forward_demodulation,[],[f123,f79]) ).
fof(f123,plain,
( ex_sup_of_relstr_set(sK2,sK4)
| ~ element(sK3,the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f122,f83]) ).
fof(f83,plain,
( relstr_set_smaller(sK2,sK4,sK3)
| ex_sup_of_relstr_set(sK2,sK4) ),
inference(resolution,[],[f51,f60]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| ex_sup_of_relstr_set(X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f122,plain,
( ~ element(sK3,the_carrier(sK2))
| ~ relstr_set_smaller(sK2,sK4,sK3)
| ex_sup_of_relstr_set(sK2,sK4) ),
inference(subsumption_resolution,[],[f121,f55]) ).
fof(f121,plain,
( ex_sup_of_relstr_set(sK2,sK4)
| ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2) ),
inference(subsumption_resolution,[],[f120,f56]) ).
fof(f56,plain,
antisymmetric_relstr(sK2),
inference(cnf_transformation,[],[f34]) ).
fof(f120,plain,
( ~ antisymmetric_relstr(sK2)
| ~ element(sK3,the_carrier(sK2))
| ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ rel_str(sK2)
| ex_sup_of_relstr_set(sK2,sK4) ),
inference(subsumption_resolution,[],[f119,f81]) ).
fof(f119,plain,
( ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ element(sK3,sF11)
| ~ rel_str(sK2)
| ~ element(sK3,the_carrier(sK2))
| ~ antisymmetric_relstr(sK2)
| ex_sup_of_relstr_set(sK2,sK4) ),
inference(duplicate_literal_removal,[],[f118]) ).
fof(f118,plain,
( ~ element(sK3,sF11)
| ~ element(sK3,the_carrier(sK2))
| ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ antisymmetric_relstr(sK2)
| ~ rel_str(sK2)
| ~ relstr_set_smaller(sK2,sK4,sK3)
| ex_sup_of_relstr_set(sK2,sK4)
| ex_sup_of_relstr_set(sK2,sK4) ),
inference(resolution,[],[f117,f62]) ).
fof(f62,plain,
! [X0,X1,X4] :
( ~ related(X0,X4,sK6(X0,X1,X4))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ~ element(X4,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X4)
| ex_sup_of_relstr_set(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ( ( element(sK5(X0,X1),the_carrier(X0))
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| related(X0,sK5(X0,X1),X3)
| ~ relstr_set_smaller(X0,X1,X3) )
& 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))
| ( element(sK6(X0,X1,X4),the_carrier(X0))
& ~ related(X0,X4,sK6(X0,X1,X4))
& relstr_set_smaller(X0,X1,sK6(X0,X1,X4)) )
| ~ relstr_set_smaller(X0,X1,X4) ) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f36,f38,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X2] :
( element(X2,the_carrier(X0))
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3) )
& relstr_set_smaller(X0,X1,X2) )
=> ( element(sK5(X0,X1),the_carrier(X0))
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| related(X0,sK5(X0,X1),X3)
| ~ relstr_set_smaller(X0,X1,X3) )
& relstr_set_smaller(X0,X1,sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1,X4] :
( ? [X5] :
( element(X5,the_carrier(X0))
& ~ related(X0,X4,X5)
& relstr_set_smaller(X0,X1,X5) )
=> ( element(sK6(X0,X1,X4),the_carrier(X0))
& ~ related(X0,X4,sK6(X0,X1,X4))
& relstr_set_smaller(X0,X1,sK6(X0,X1,X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ( ? [X2] :
( element(X2,the_carrier(X0))
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3) )
& 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] :
( element(X5,the_carrier(X0))
& ~ related(X0,X4,X5)
& relstr_set_smaller(X0,X1,X5) )
| ~ relstr_set_smaller(X0,X1,X4) ) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ( ? [X2] :
( element(X2,the_carrier(X0))
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3) )
& 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] :
( element(X3,the_carrier(X0))
& ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3) )
| ~ relstr_set_smaller(X0,X1,X2) ) ) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( element(X2,the_carrier(X0))
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3) )
& relstr_set_smaller(X0,X1,X2) )
<=> ex_sup_of_relstr_set(X0,X1) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) )
<=> ex_sup_of_relstr_set(X0,X1) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( ? [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) )
<=> ex_sup_of_relstr_set(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_yellow_0) ).
fof(f117,plain,
! [X0] :
( related(sK2,sK3,sK6(sK2,sK4,X0))
| ~ element(X0,sF11)
| ex_sup_of_relstr_set(sK2,sK4)
| ~ relstr_set_smaller(sK2,sK4,X0) ),
inference(duplicate_literal_removal,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ~ element(X0,sF11)
| related(sK2,sK3,sK6(sK2,sK4,X0))
| ex_sup_of_relstr_set(sK2,sK4)
| ~ element(X0,sF11)
| ~ relstr_set_smaller(sK2,sK4,X0)
| ex_sup_of_relstr_set(sK2,sK4)
| ~ relstr_set_smaller(sK2,sK4,X0) ),
inference(resolution,[],[f115,f112]) ).
fof(f112,plain,
! [X0] :
( ~ element(sK6(sK2,sK4,X0),sF11)
| ex_sup_of_relstr_set(sK2,sK4)
| ~ element(X0,sF11)
| related(sK2,sK3,sK6(sK2,sK4,X0))
| ~ relstr_set_smaller(sK2,sK4,X0) ),
inference(subsumption_resolution,[],[f111,f51]) ).
fof(f111,plain,
! [X0] :
( ~ element(X0,sF11)
| ~ element(sK6(sK2,sK4,X0),sF11)
| ~ relstr_set_smaller(sK2,sK4,X0)
| sP0(sK3,sK4,sK2)
| related(sK2,sK3,sK6(sK2,sK4,X0))
| ex_sup_of_relstr_set(sK2,sK4) ),
inference(resolution,[],[f110,f80]) ).
fof(f80,plain,
! [X3] :
( ~ relstr_set_smaller(sK2,sK4,X3)
| sP0(sK3,sK4,sK2)
| ~ element(X3,sF11)
| related(sK2,sK3,X3) ),
inference(definition_folding,[],[f58,f79]) ).
fof(f58,plain,
! [X3] :
( sP0(sK3,sK4,sK2)
| ~ element(X3,the_carrier(sK2))
| related(sK2,sK3,X3)
| ~ relstr_set_smaller(sK2,sK4,X3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f110,plain,
! [X0,X1] :
( relstr_set_smaller(sK2,X1,sK6(sK2,X1,X0))
| ~ relstr_set_smaller(sK2,X1,X0)
| ex_sup_of_relstr_set(sK2,X1)
| ~ element(X0,sF11) ),
inference(forward_demodulation,[],[f109,f79]) ).
fof(f109,plain,
! [X0,X1] :
( ~ relstr_set_smaller(sK2,X1,X0)
| ex_sup_of_relstr_set(sK2,X1)
| relstr_set_smaller(sK2,X1,sK6(sK2,X1,X0))
| ~ element(X0,the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f108,f55]) ).
fof(f108,plain,
! [X0,X1] :
( ex_sup_of_relstr_set(sK2,X1)
| ~ rel_str(sK2)
| ~ element(X0,the_carrier(sK2))
| relstr_set_smaller(sK2,X1,sK6(sK2,X1,X0))
| ~ relstr_set_smaller(sK2,X1,X0) ),
inference(resolution,[],[f61,f56]) ).
fof(f61,plain,
! [X0,X1,X4] :
( ~ antisymmetric_relstr(X0)
| ~ element(X4,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X4)
| ~ rel_str(X0)
| relstr_set_smaller(X0,X1,sK6(X0,X1,X4))
| ex_sup_of_relstr_set(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f115,plain,
! [X0,X1] :
( element(sK6(sK2,X0,X1),sF11)
| ~ relstr_set_smaller(sK2,X0,X1)
| ex_sup_of_relstr_set(sK2,X0)
| ~ element(X1,sF11) ),
inference(subsumption_resolution,[],[f114,f55]) ).
fof(f114,plain,
! [X0,X1] :
( ex_sup_of_relstr_set(sK2,X0)
| ~ element(X1,sF11)
| ~ rel_str(sK2)
| element(sK6(sK2,X0,X1),sF11)
| ~ relstr_set_smaller(sK2,X0,X1) ),
inference(subsumption_resolution,[],[f113,f56]) ).
fof(f113,plain,
! [X0,X1] :
( element(sK6(sK2,X0,X1),sF11)
| ~ relstr_set_smaller(sK2,X0,X1)
| ~ antisymmetric_relstr(sK2)
| ~ element(X1,sF11)
| ex_sup_of_relstr_set(sK2,X0)
| ~ rel_str(sK2) ),
inference(superposition,[],[f63,f79]) ).
fof(f63,plain,
! [X0,X1,X4] :
( element(sK6(X0,X1,X4),the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ element(X4,the_carrier(X0))
| ~ rel_str(X0)
| ~ relstr_set_smaller(X0,X1,X4)
| ex_sup_of_relstr_set(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f187,plain,
! [X0] :
( related(sK2,sK3,sK8(sK2,X0,sK4))
| sF10 = X0
| ~ relstr_set_smaller(sK2,sK4,X0)
| ~ element(X0,sF11)
| sP0(sK3,sK4,sK2) ),
inference(subsumption_resolution,[],[f186,f146]) ).
fof(f146,plain,
! [X1] :
( element(sK8(sK2,X1,sK4),sF11)
| ~ element(X1,sF11)
| ~ relstr_set_smaller(sK2,sK4,X1)
| sF10 = X1 ),
inference(forward_demodulation,[],[f145,f79]) ).
fof(f145,plain,
! [X1] :
( sF10 = X1
| ~ element(X1,sF11)
| element(sK8(sK2,X1,sK4),the_carrier(sK2))
| ~ relstr_set_smaller(sK2,sK4,X1) ),
inference(forward_demodulation,[],[f144,f79]) ).
fof(f144,plain,
! [X1] :
( ~ relstr_set_smaller(sK2,sK4,X1)
| sF10 = X1
| ~ element(X1,the_carrier(sK2))
| element(sK8(sK2,X1,sK4),the_carrier(sK2)) ),
inference(forward_demodulation,[],[f143,f77]) ).
fof(f143,plain,
! [X1] :
( join_on_relstr(sK2,sK4) = X1
| ~ relstr_set_smaller(sK2,sK4,X1)
| ~ element(X1,the_carrier(sK2))
| element(sK8(sK2,X1,sK4),the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f129,f55]) ).
fof(f129,plain,
! [X1] :
( element(sK8(sK2,X1,sK4),the_carrier(sK2))
| ~ rel_str(sK2)
| join_on_relstr(sK2,sK4) = X1
| ~ element(X1,the_carrier(sK2))
| ~ relstr_set_smaller(sK2,sK4,X1) ),
inference(resolution,[],[f125,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) = X1
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| element(sK8(X0,X1,X2),the_carrier(X0))
| ~ relstr_set_smaller(X0,X2,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f186,plain,
! [X0] :
( sF10 = X0
| related(sK2,sK3,sK8(sK2,X0,sK4))
| sP0(sK3,sK4,sK2)
| ~ element(X0,sF11)
| ~ relstr_set_smaller(sK2,sK4,X0)
| ~ element(sK8(sK2,X0,sK4),sF11) ),
inference(resolution,[],[f139,f80]) ).
fof(f139,plain,
! [X3] :
( relstr_set_smaller(sK2,sK4,sK8(sK2,X3,sK4))
| ~ element(X3,sF11)
| ~ relstr_set_smaller(sK2,sK4,X3)
| sF10 = X3 ),
inference(forward_demodulation,[],[f138,f79]) ).
fof(f138,plain,
! [X3] :
( ~ element(X3,the_carrier(sK2))
| sF10 = X3
| ~ relstr_set_smaller(sK2,sK4,X3)
| relstr_set_smaller(sK2,sK4,sK8(sK2,X3,sK4)) ),
inference(forward_demodulation,[],[f137,f77]) ).
fof(f137,plain,
! [X3] :
( relstr_set_smaller(sK2,sK4,sK8(sK2,X3,sK4))
| join_on_relstr(sK2,sK4) = X3
| ~ element(X3,the_carrier(sK2))
| ~ relstr_set_smaller(sK2,sK4,X3) ),
inference(subsumption_resolution,[],[f131,f55]) ).
fof(f131,plain,
! [X3] :
( join_on_relstr(sK2,sK4) = X3
| ~ relstr_set_smaller(sK2,sK4,X3)
| ~ rel_str(sK2)
| relstr_set_smaller(sK2,sK4,sK8(sK2,X3,sK4))
| ~ element(X3,the_carrier(sK2)) ),
inference(resolution,[],[f125,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ ex_sup_of_relstr_set(X0,X2)
| relstr_set_smaller(X0,X2,sK8(X0,X1,X2))
| ~ relstr_set_smaller(X0,X2,X1)
| join_on_relstr(X0,X2) = X1
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f150,plain,
relstr_set_smaller(sK2,sK4,sF10),
inference(subsumption_resolution,[],[f149,f91]) ).
fof(f91,plain,
! [X0] : element(join_on_relstr(sK2,X0),sF11),
inference(subsumption_resolution,[],[f88,f55]) ).
fof(f88,plain,
! [X0] :
( element(join_on_relstr(sK2,X0),sF11)
| ~ rel_str(sK2) ),
inference(superposition,[],[f68,f79]) ).
fof(f68,plain,
! [X0,X1] :
( element(join_on_relstr(X1,X0),the_carrier(X1))
| ~ rel_str(X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ rel_str(X1)
| element(join_on_relstr(X1,X0),the_carrier(X1)) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( ~ rel_str(X0)
| element(join_on_relstr(X0,X1),the_carrier(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( rel_str(X0)
=> element(join_on_relstr(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(f149,plain,
( relstr_set_smaller(sK2,sK4,sF10)
| ~ element(join_on_relstr(sK2,sK4),sF11) ),
inference(forward_demodulation,[],[f148,f79]) ).
fof(f148,plain,
( ~ element(join_on_relstr(sK2,sK4),the_carrier(sK2))
| relstr_set_smaller(sK2,sK4,sF10) ),
inference(forward_demodulation,[],[f147,f77]) ).
fof(f147,plain,
( relstr_set_smaller(sK2,sK4,join_on_relstr(sK2,sK4))
| ~ element(join_on_relstr(sK2,sK4),the_carrier(sK2)) ),
inference(subsumption_resolution,[],[f133,f55]) ).
fof(f133,plain,
( ~ rel_str(sK2)
| relstr_set_smaller(sK2,sK4,join_on_relstr(sK2,sK4))
| ~ element(join_on_relstr(sK2,sK4),the_carrier(sK2)) ),
inference(resolution,[],[f125,f76]) ).
fof(f76,plain,
! [X2,X0] :
( ~ ex_sup_of_relstr_set(X0,X2)
| ~ element(join_on_relstr(X0,X2),the_carrier(X0))
| ~ rel_str(X0)
| relstr_set_smaller(X0,X2,join_on_relstr(X0,X2)) ),
inference(equality_resolution,[],[f72]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| relstr_set_smaller(X0,X2,X1)
| join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f257,plain,
~ relstr_set_smaller(sK2,sK4,sK3),
inference(subsumption_resolution,[],[f256,f223]) ).
fof(f223,plain,
sP0(sK3,sK4,sK2),
inference(subsumption_resolution,[],[f220,f125]) ).
fof(f220,plain,
( sP0(sK3,sK4,sK2)
| ~ ex_sup_of_relstr_set(sK2,sK4) ),
inference(trivial_inequality_removal,[],[f207]) ).
fof(f207,plain,
( sP0(sK3,sK4,sK2)
| ~ ex_sup_of_relstr_set(sK2,sK4)
| sK3 != sK3 ),
inference(backward_demodulation,[],[f78,f205]) ).
fof(f78,plain,
( sP0(sK3,sK4,sK2)
| sF10 != sK3
| ~ ex_sup_of_relstr_set(sK2,sK4) ),
inference(definition_folding,[],[f59,f77]) ).
fof(f59,plain,
( sP0(sK3,sK4,sK2)
| join_on_relstr(sK2,sK4) != sK3
| ~ ex_sup_of_relstr_set(sK2,sK4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f256,plain,
( ~ sP0(sK3,sK4,sK2)
| ~ relstr_set_smaller(sK2,sK4,sK3) ),
inference(duplicate_literal_removal,[],[f255]) ).
fof(f255,plain,
( ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ sP0(sK3,sK4,sK2)
| ~ sP0(sK3,sK4,sK2)
| ~ relstr_set_smaller(sK2,sK4,sK3) ),
inference(resolution,[],[f222,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X2,X1,sK1(X0,X1,X2))
| ~ sP0(X0,X1,X2)
| ~ relstr_set_smaller(X2,X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f222,plain,
! [X0] :
( ~ relstr_set_smaller(sK2,sK4,sK1(sK3,X0,sK2))
| ~ sP0(sK3,X0,sK2)
| ~ relstr_set_smaller(sK2,X0,sK3) ),
inference(forward_demodulation,[],[f221,f205]) ).
fof(f221,plain,
! [X0] :
( ~ relstr_set_smaller(sK2,X0,sF10)
| ~ relstr_set_smaller(sK2,sK4,sK1(sK3,X0,sK2))
| ~ sP0(sK3,X0,sK2) ),
inference(forward_demodulation,[],[f216,f205]) ).
fof(f216,plain,
! [X0] :
( ~ sP0(sF10,X0,sK2)
| ~ relstr_set_smaller(sK2,sK4,sK1(sK3,X0,sK2))
| ~ relstr_set_smaller(sK2,X0,sF10) ),
inference(backward_demodulation,[],[f174,f205]) ).
fof(f174,plain,
! [X0] :
( ~ sP0(sF10,X0,sK2)
| ~ relstr_set_smaller(sK2,sK4,sK1(sF10,X0,sK2))
| ~ relstr_set_smaller(sK2,X0,sF10) ),
inference(subsumption_resolution,[],[f168,f103]) ).
fof(f103,plain,
! [X0,X1] :
( element(sK1(X0,X1,sK2),sF11)
| ~ relstr_set_smaller(sK2,X1,X0)
| ~ sP0(X0,X1,sK2) ),
inference(superposition,[],[f53,f79]) ).
fof(f53,plain,
! [X2,X0,X1] :
( element(sK1(X0,X1,X2),the_carrier(X2))
| ~ sP0(X0,X1,X2)
| ~ relstr_set_smaller(X2,X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f168,plain,
! [X0] :
( ~ element(sK1(sF10,X0,sK2),sF11)
| ~ relstr_set_smaller(sK2,sK4,sK1(sF10,X0,sK2))
| ~ sP0(sF10,X0,sK2)
| ~ relstr_set_smaller(sK2,X0,sF10) ),
inference(resolution,[],[f155,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ related(X2,X0,sK1(X0,X1,X2))
| ~ relstr_set_smaller(X2,X1,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f155,plain,
! [X4] :
( related(sK2,sF10,X4)
| ~ relstr_set_smaller(sK2,sK4,X4)
| ~ element(X4,sF11) ),
inference(subsumption_resolution,[],[f154,f91]) ).
fof(f154,plain,
! [X4] :
( related(sK2,sF10,X4)
| ~ relstr_set_smaller(sK2,sK4,X4)
| ~ element(join_on_relstr(sK2,sK4),sF11)
| ~ element(X4,sF11) ),
inference(forward_demodulation,[],[f153,f79]) ).
fof(f153,plain,
! [X4] :
( ~ element(X4,sF11)
| ~ element(join_on_relstr(sK2,sK4),the_carrier(sK2))
| related(sK2,sF10,X4)
| ~ relstr_set_smaller(sK2,sK4,X4) ),
inference(forward_demodulation,[],[f152,f77]) ).
fof(f152,plain,
! [X4] :
( ~ relstr_set_smaller(sK2,sK4,X4)
| related(sK2,join_on_relstr(sK2,sK4),X4)
| ~ element(join_on_relstr(sK2,sK4),the_carrier(sK2))
| ~ element(X4,sF11) ),
inference(forward_demodulation,[],[f151,f79]) ).
fof(f151,plain,
! [X4] :
( ~ element(X4,the_carrier(sK2))
| ~ relstr_set_smaller(sK2,sK4,X4)
| ~ element(join_on_relstr(sK2,sK4),the_carrier(sK2))
| related(sK2,join_on_relstr(sK2,sK4),X4) ),
inference(subsumption_resolution,[],[f132,f55]) ).
fof(f132,plain,
! [X4] :
( ~ relstr_set_smaller(sK2,sK4,X4)
| ~ element(join_on_relstr(sK2,sK4),the_carrier(sK2))
| ~ element(X4,the_carrier(sK2))
| ~ rel_str(sK2)
| related(sK2,join_on_relstr(sK2,sK4),X4) ),
inference(resolution,[],[f125,f75]) ).
fof(f75,plain,
! [X2,X3,X0] :
( ~ ex_sup_of_relstr_set(X0,X2)
| ~ rel_str(X0)
| ~ relstr_set_smaller(X0,X2,X3)
| related(X0,join_on_relstr(X0,X2),X3)
| ~ element(X3,the_carrier(X0))
| ~ element(join_on_relstr(X0,X2),the_carrier(X0)) ),
inference(equality_resolution,[],[f73]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ relstr_set_smaller(X0,X2,X3)
| related(X0,X1,X3)
| ~ element(X3,the_carrier(X0))
| join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) ),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU359+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n012.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 15:18:05 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.45 % (1119)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.46 % (1114)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.46 % (1121)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)
% 0.15/0.46 % (1131)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.46 % (1114)Instruction limit reached!
% 0.15/0.46 % (1114)------------------------------
% 0.15/0.46 % (1114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46 % (1113)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.46 % (1118)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.47 % (1122)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)
% 0.15/0.47 % (1114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (1114)Termination reason: Unknown
% 0.15/0.47 % (1114)Termination phase: Naming
% 0.15/0.47
% 0.15/0.47 % (1114)Memory used [KB]: 895
% 0.15/0.47 % (1114)Time elapsed: 0.005 s
% 0.15/0.47 % (1114)Instructions burned: 2 (million)
% 0.15/0.47 % (1114)------------------------------
% 0.15/0.47 % (1114)------------------------------
% 0.15/0.47 % (1121)First to succeed.
% 0.15/0.47 % (1111)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)
% 0.15/0.48 % (1130)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.48 % (1126)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)
% 0.15/0.48 % (1113)Instruction limit reached!
% 0.15/0.48 % (1113)------------------------------
% 0.15/0.48 % (1113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (1127)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.49 % (1121)Refutation found. Thanks to Tanya!
% 0.15/0.49 % SZS status Theorem for theBenchmark
% 0.15/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49 % (1121)------------------------------
% 0.15/0.49 % (1121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (1121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (1121)Termination reason: Refutation
% 0.15/0.49
% 0.15/0.49 % (1121)Memory used [KB]: 1023
% 0.15/0.49 % (1121)Time elapsed: 0.104 s
% 0.15/0.49 % (1121)Instructions burned: 9 (million)
% 0.15/0.49 % (1121)------------------------------
% 0.15/0.49 % (1121)------------------------------
% 0.15/0.49 % (1105)Success in time 0.168 s
%------------------------------------------------------------------------------