TSTP Solution File: SEU357+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU357+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.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 : Sun May 5 09:22:41 EDT 2024
% Result : Theorem 0.64s 0.80s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 30
% Syntax : Number of formulae : 149 ( 3 unt; 1 typ; 0 def)
% Number of atoms : 1712 ( 19 equ)
% Maximal formula atoms : 28 ( 11 avg)
% Number of connectives : 1095 ( 436 ~; 452 |; 148 &)
% ( 25 <=>; 32 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 905 ( 905 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 35 ( 33 usr; 20 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 222 ( 171 !; 50 ?; 67 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_9,type,
sQ11_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f263,plain,
$false,
inference(avatar_sat_refutation,[],[f83,f87,f91,f95,f100,f105,f154,f185,f192,f204,f215,f220,f225,f248,f254,f258,f262]) ).
tff(f262,plain,
( ~ spl12_1
| spl12_18 ),
inference(avatar_contradiction_clause,[],[f261]) ).
tff(f261,plain,
( $false
| ~ spl12_1
| spl12_18 ),
inference(subsumption_resolution,[],[f260,f44]) ).
tff(f44,plain,
rel_str(sK1),
inference(cnf_transformation,[],[f28]) ).
tff(f28,plain,
( ( ! [X2] :
( ( ~ related(sK1,sK3(X2),X2)
& relstr_element_smaller(sK1,sK2,sK3(X2))
& element(sK3(X2),the_carrier(sK1)) )
| ~ relstr_element_smaller(sK1,sK2,X2)
| ~ element(X2,the_carrier(sK1)) )
| ~ ex_inf_of_relstr_set(sK1,sK2) )
& ( ( ! [X5] :
( related(sK1,X5,sK4)
| ~ relstr_element_smaller(sK1,sK2,X5)
| ~ element(X5,the_carrier(sK1)) )
& relstr_element_smaller(sK1,sK2,sK4)
& element(sK4,the_carrier(sK1)) )
| ex_inf_of_relstr_set(sK1,sK2) )
& rel_str(sK1)
& antisymmetric_relstr(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f23,f27,f26,f25,f24]) ).
tff(f24,plain,
( ? [X0] :
( ? [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ ex_inf_of_relstr_set(X0,X1) )
& ( ? [X4] :
( ! [X5] :
( related(X0,X5,X4)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
| ex_inf_of_relstr_set(X0,X1) ) )
& rel_str(X0)
& antisymmetric_relstr(X0) )
=> ( ? [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ related(sK1,X3,X2)
& relstr_element_smaller(sK1,X1,X3)
& element(X3,the_carrier(sK1)) )
| ~ relstr_element_smaller(sK1,X1,X2)
| ~ element(X2,the_carrier(sK1)) )
| ~ ex_inf_of_relstr_set(sK1,X1) )
& ( ? [X4] :
( ! [X5] :
( related(sK1,X5,X4)
| ~ relstr_element_smaller(sK1,X1,X5)
| ~ element(X5,the_carrier(sK1)) )
& relstr_element_smaller(sK1,X1,X4)
& element(X4,the_carrier(sK1)) )
| ex_inf_of_relstr_set(sK1,X1) ) )
& rel_str(sK1)
& antisymmetric_relstr(sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f25,plain,
( ? [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ related(sK1,X3,X2)
& relstr_element_smaller(sK1,X1,X3)
& element(X3,the_carrier(sK1)) )
| ~ relstr_element_smaller(sK1,X1,X2)
| ~ element(X2,the_carrier(sK1)) )
| ~ ex_inf_of_relstr_set(sK1,X1) )
& ( ? [X4] :
( ! [X5] :
( related(sK1,X5,X4)
| ~ relstr_element_smaller(sK1,X1,X5)
| ~ element(X5,the_carrier(sK1)) )
& relstr_element_smaller(sK1,X1,X4)
& element(X4,the_carrier(sK1)) )
| ex_inf_of_relstr_set(sK1,X1) ) )
=> ( ( ! [X2] :
( ? [X3] :
( ~ related(sK1,X3,X2)
& relstr_element_smaller(sK1,sK2,X3)
& element(X3,the_carrier(sK1)) )
| ~ relstr_element_smaller(sK1,sK2,X2)
| ~ element(X2,the_carrier(sK1)) )
| ~ ex_inf_of_relstr_set(sK1,sK2) )
& ( ? [X4] :
( ! [X5] :
( related(sK1,X5,X4)
| ~ relstr_element_smaller(sK1,sK2,X5)
| ~ element(X5,the_carrier(sK1)) )
& relstr_element_smaller(sK1,sK2,X4)
& element(X4,the_carrier(sK1)) )
| ex_inf_of_relstr_set(sK1,sK2) ) ) ),
introduced(choice_axiom,[]) ).
tff(f26,plain,
! [X2] :
( ? [X3] :
( ~ related(sK1,X3,X2)
& relstr_element_smaller(sK1,sK2,X3)
& element(X3,the_carrier(sK1)) )
=> ( ~ related(sK1,sK3(X2),X2)
& relstr_element_smaller(sK1,sK2,sK3(X2))
& element(sK3(X2),the_carrier(sK1)) ) ),
introduced(choice_axiom,[]) ).
tff(f27,plain,
( ? [X4] :
( ! [X5] :
( related(sK1,X5,X4)
| ~ relstr_element_smaller(sK1,sK2,X5)
| ~ element(X5,the_carrier(sK1)) )
& relstr_element_smaller(sK1,sK2,X4)
& element(X4,the_carrier(sK1)) )
=> ( ! [X5] :
( related(sK1,X5,sK4)
| ~ relstr_element_smaller(sK1,sK2,X5)
| ~ element(X5,the_carrier(sK1)) )
& relstr_element_smaller(sK1,sK2,sK4)
& element(sK4,the_carrier(sK1)) ) ),
introduced(choice_axiom,[]) ).
tff(f23,plain,
? [X0] :
( ? [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ ex_inf_of_relstr_set(X0,X1) )
& ( ? [X4] :
( ! [X5] :
( related(X0,X5,X4)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
| ex_inf_of_relstr_set(X0,X1) ) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(rectify,[],[f22]) ).
tff(f22,plain,
? [X0] :
( ? [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ ex_inf_of_relstr_set(X0,X1) )
& ( ? [X2] :
( ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) )
| ex_inf_of_relstr_set(X0,X1) ) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(nnf_transformation,[],[f15]) ).
tff(f15,plain,
? [X0] :
( ? [X1] :
( ex_inf_of_relstr_set(X0,X1)
<~> ? [X2] :
( ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(flattening,[],[f14]) ).
tff(f14,plain,
? [X0] :
( ? [X1] :
( ex_inf_of_relstr_set(X0,X1)
<~> ? [X2] :
( ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,negated_conjecture,
~ ! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X3)
=> related(X0,X3,X2) ) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
inference(negated_conjecture,[],[f9]) ).
tff(f9,conjecture,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X3)
=> related(X0,X3,X2) ) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3dmeUT72nM/Vampire---4.8_29563',t16_yellow_0) ).
tff(f260,plain,
( ~ rel_str(sK1)
| ~ spl12_1
| spl12_18 ),
inference(subsumption_resolution,[],[f259,f78]) ).
tff(f78,plain,
( ex_inf_of_relstr_set(sK1,sK2)
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f77]) ).
tff(f77,plain,
( spl12_1
<=> ex_inf_of_relstr_set(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
tff(f259,plain,
( ~ ex_inf_of_relstr_set(sK1,sK2)
| ~ rel_str(sK1)
| spl12_18 ),
inference(resolution,[],[f253,f60]) ).
tff(f60,plain,
! [X0: $i,X1: $i] :
( relstr_element_smaller(X0,X1,sK8(X0,X1))
| ~ ex_inf_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f38]) ).
tff(f38,plain,
! [X0] :
( ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ sP0(X2,X0,X1)
| ( ~ related(X0,sK7(X0,X1,X2),X2)
& relstr_element_smaller(X0,X1,sK7(X0,X1,X2))
& element(sK7(X0,X1,X2),the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
& ( ( sP0(sK8(X0,X1),X0,X1)
& ! [X5] :
( related(X0,X5,sK8(X0,X1))
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,sK8(X0,X1))
& element(sK8(X0,X1),the_carrier(X0)) )
| ~ ex_inf_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f35,f37,f36]) ).
tff(f36,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
=> ( ~ related(X0,sK7(X0,X1,X2),X2)
& relstr_element_smaller(X0,X1,sK7(X0,X1,X2))
& element(sK7(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
tff(f37,plain,
! [X0,X1] :
( ? [X4] :
( sP0(X4,X0,X1)
& ! [X5] :
( related(X0,X5,X4)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
=> ( sP0(sK8(X0,X1),X0,X1)
& ! [X5] :
( related(X0,X5,sK8(X0,X1))
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,sK8(X0,X1))
& element(sK8(X0,X1),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
tff(f35,plain,
! [X0] :
( ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ sP0(X2,X0,X1)
| ? [X3] :
( ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
& ( ? [X4] :
( sP0(X4,X0,X1)
& ! [X5] :
( related(X0,X5,X4)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
| ~ ex_inf_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0) ),
inference(rectify,[],[f34]) ).
tff(f34,plain,
! [X0] :
( ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ sP0(X2,X0,X1)
| ? [X5] :
( ~ related(X0,X5,X2)
& relstr_element_smaller(X0,X1,X5)
& element(X5,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
& ( ? [X2] :
( sP0(X2,X0,X1)
& ! [X5] :
( related(X0,X5,X2)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) )
| ~ ex_inf_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0] :
( ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( sP0(X2,X0,X1)
& ! [X5] :
( related(X0,X5,X2)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
| ~ rel_str(X0) ),
inference(definition_folding,[],[f19,f20]) ).
tff(f20,plain,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ! [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)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f19,plain,
! [X0] :
( ! [X1] :
( ex_inf_of_relstr_set(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)) )
& ! [X5] :
( related(X0,X5,X2)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
| ~ rel_str(X0) ),
inference(flattening,[],[f18]) ).
tff(f18,plain,
! [X0] :
( ! [X1] :
( ex_inf_of_relstr_set(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)) )
& ! [X5] :
( related(X0,X5,X2)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ex_inf_of_relstr_set(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 ) ) )
& ! [X5] :
( element(X5,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X5)
=> related(X0,X5,X2) ) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ex_inf_of_relstr_set(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) ) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3dmeUT72nM/Vampire---4.8_29563',d8_yellow_0) ).
tff(f253,plain,
( ~ relstr_element_smaller(sK1,sK2,sK8(sK1,sK2))
| spl12_18 ),
inference(avatar_component_clause,[],[f251]) ).
tff(f251,plain,
( spl12_18
<=> relstr_element_smaller(sK1,sK2,sK8(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
tff(f258,plain,
( ~ spl12_1
| spl12_17 ),
inference(avatar_contradiction_clause,[],[f257]) ).
tff(f257,plain,
( $false
| ~ spl12_1
| spl12_17 ),
inference(subsumption_resolution,[],[f256,f44]) ).
tff(f256,plain,
( ~ rel_str(sK1)
| ~ spl12_1
| spl12_17 ),
inference(subsumption_resolution,[],[f255,f78]) ).
tff(f255,plain,
( ~ ex_inf_of_relstr_set(sK1,sK2)
| ~ rel_str(sK1)
| spl12_17 ),
inference(resolution,[],[f247,f59]) ).
tff(f59,plain,
! [X0: $i,X1: $i] :
( element(sK8(X0,X1),the_carrier(X0))
| ~ ex_inf_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f38]) ).
tff(f247,plain,
( ~ element(sK8(sK1,sK2),the_carrier(sK1))
| spl12_17 ),
inference(avatar_component_clause,[],[f245]) ).
tff(f245,plain,
( spl12_17
<=> element(sK8(sK1,sK2),the_carrier(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
tff(f254,plain,
( ~ spl12_18
| ~ spl12_17
| ~ spl12_3
| spl12_16 ),
inference(avatar_split_clause,[],[f249,f241,f85,f245,f251]) ).
tff(f85,plain,
( spl12_3
<=> ! [X2] :
( relstr_element_smaller(sK1,sK2,sK3(X2))
| ~ element(X2,the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
tff(f241,plain,
( spl12_16
<=> relstr_element_smaller(sK1,sK2,sK3(sK8(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
tff(f249,plain,
( ~ element(sK8(sK1,sK2),the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,sK8(sK1,sK2))
| ~ spl12_3
| spl12_16 ),
inference(resolution,[],[f243,f86]) ).
tff(f86,plain,
( ! [X2: $i] :
( relstr_element_smaller(sK1,sK2,sK3(X2))
| ~ element(X2,the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,X2) )
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f85]) ).
tff(f243,plain,
( ~ relstr_element_smaller(sK1,sK2,sK3(sK8(sK1,sK2)))
| spl12_16 ),
inference(avatar_component_clause,[],[f241]) ).
tff(f248,plain,
( ~ spl12_16
| ~ spl12_17
| ~ spl12_1
| ~ spl12_2
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f239,f89,f81,f77,f245,f241]) ).
tff(f81,plain,
( spl12_2
<=> ! [X2] :
( ~ related(sK1,sK3(X2),X2)
| ~ element(X2,the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
tff(f89,plain,
( spl12_4
<=> ! [X2] :
( element(sK3(X2),the_carrier(sK1))
| ~ element(X2,the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
tff(f239,plain,
( ~ element(sK8(sK1,sK2),the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,sK3(sK8(sK1,sK2)))
| ~ spl12_1
| ~ spl12_2
| ~ spl12_4 ),
inference(subsumption_resolution,[],[f238,f44]) ).
tff(f238,plain,
( ~ element(sK8(sK1,sK2),the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,sK3(sK8(sK1,sK2)))
| ~ rel_str(sK1)
| ~ spl12_1
| ~ spl12_2
| ~ spl12_4 ),
inference(subsumption_resolution,[],[f237,f78]) ).
tff(f237,plain,
( ~ element(sK8(sK1,sK2),the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,sK3(sK8(sK1,sK2)))
| ~ ex_inf_of_relstr_set(sK1,sK2)
| ~ rel_str(sK1)
| ~ spl12_2
| ~ spl12_4 ),
inference(duplicate_literal_removal,[],[f236]) ).
tff(f236,plain,
( ~ element(sK8(sK1,sK2),the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,sK3(sK8(sK1,sK2)))
| ~ ex_inf_of_relstr_set(sK1,sK2)
| ~ ex_inf_of_relstr_set(sK1,sK2)
| ~ rel_str(sK1)
| ~ spl12_2
| ~ spl12_4 ),
inference(resolution,[],[f235,f60]) ).
tff(f235,plain,
( ! [X0: $i] :
( ~ relstr_element_smaller(sK1,sK2,sK8(sK1,X0))
| ~ element(sK8(sK1,X0),the_carrier(sK1))
| ~ relstr_element_smaller(sK1,X0,sK3(sK8(sK1,X0)))
| ~ ex_inf_of_relstr_set(sK1,X0) )
| ~ spl12_2
| ~ spl12_4 ),
inference(subsumption_resolution,[],[f231,f90]) ).
tff(f90,plain,
( ! [X2: $i] :
( element(sK3(X2),the_carrier(sK1))
| ~ element(X2,the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,X2) )
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f89]) ).
tff(f231,plain,
( ! [X0: $i] :
( ~ element(sK8(sK1,X0),the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,sK8(sK1,X0))
| ~ relstr_element_smaller(sK1,X0,sK3(sK8(sK1,X0)))
| ~ element(sK3(sK8(sK1,X0)),the_carrier(sK1))
| ~ ex_inf_of_relstr_set(sK1,X0) )
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f229,f44]) ).
tff(f229,plain,
( ! [X0: $i] :
( ~ element(sK8(sK1,X0),the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,sK8(sK1,X0))
| ~ relstr_element_smaller(sK1,X0,sK3(sK8(sK1,X0)))
| ~ element(sK3(sK8(sK1,X0)),the_carrier(sK1))
| ~ ex_inf_of_relstr_set(sK1,X0)
| ~ rel_str(sK1) )
| ~ spl12_2 ),
inference(resolution,[],[f82,f61]) ).
tff(f61,plain,
! [X0: $i,X1: $i,X5: $i] :
( related(X0,X5,sK8(X0,X1))
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0))
| ~ ex_inf_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f38]) ).
tff(f82,plain,
( ! [X2: $i] :
( ~ related(sK1,sK3(X2),X2)
| ~ element(X2,the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,X2) )
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f81]) ).
tff(f225,plain,
( ~ spl12_6
| ~ spl12_7
| spl12_10
| spl12_13 ),
inference(avatar_contradiction_clause,[],[f224]) ).
tff(f224,plain,
( $false
| ~ spl12_6
| ~ spl12_7
| spl12_10
| spl12_13 ),
inference(subsumption_resolution,[],[f223,f104]) ).
tff(f104,plain,
( element(sK4,the_carrier(sK1))
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f102]) ).
tff(f102,plain,
( spl12_7
<=> element(sK4,the_carrier(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
tff(f223,plain,
( ~ element(sK4,the_carrier(sK1))
| ~ spl12_6
| spl12_10
| spl12_13 ),
inference(subsumption_resolution,[],[f222,f99]) ).
tff(f99,plain,
( relstr_element_smaller(sK1,sK2,sK4)
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f97]) ).
tff(f97,plain,
( spl12_6
<=> relstr_element_smaller(sK1,sK2,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
tff(f222,plain,
( ~ relstr_element_smaller(sK1,sK2,sK4)
| ~ element(sK4,the_carrier(sK1))
| spl12_10
| spl12_13 ),
inference(subsumption_resolution,[],[f221,f149]) ).
tff(f149,plain,
( ~ sP0(sK4,sK1,sK2)
| spl12_10 ),
inference(avatar_component_clause,[],[f147]) ).
tff(f147,plain,
( spl12_10
<=> sP0(sK4,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
tff(f221,plain,
( sP0(sK4,sK1,sK2)
| ~ relstr_element_smaller(sK1,sK2,sK4)
| ~ element(sK4,the_carrier(sK1))
| spl12_13 ),
inference(resolution,[],[f168,f57]) ).
tff(f57,plain,
! [X2: $i,X0: $i,X1: $i,X4: $i] :
( related(X1,X4,sK5(X0,X1,X2))
| sP0(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) ),
inference(cnf_transformation,[],[f33]) ).
tff(f33,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( sK5(X0,X1,X2) != X0 )
& ! [X4] :
( related(X1,X4,sK5(X0,X1,X2))
| ~ relstr_element_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) )
& relstr_element_smaller(X1,X2,sK5(X0,X1,X2))
& element(sK5(X0,X1,X2),the_carrier(X1)) ) )
& ( ! [X5] :
( ( X0 = X5 )
| ( ~ related(X1,sK6(X1,X2,X5),X5)
& relstr_element_smaller(X1,X2,sK6(X1,X2,X5))
& element(sK6(X1,X2,X5),the_carrier(X1)) )
| ~ relstr_element_smaller(X1,X2,X5)
| ~ element(X5,the_carrier(X1)) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f30,f32,f31]) ).
tff(f31,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( X0 != X3 )
& ! [X4] :
( related(X1,X4,X3)
| ~ relstr_element_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) )
& relstr_element_smaller(X1,X2,X3)
& element(X3,the_carrier(X1)) )
=> ( ( sK5(X0,X1,X2) != X0 )
& ! [X4] :
( related(X1,X4,sK5(X0,X1,X2))
| ~ relstr_element_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) )
& relstr_element_smaller(X1,X2,sK5(X0,X1,X2))
& element(sK5(X0,X1,X2),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f32,plain,
! [X1,X2,X5] :
( ? [X6] :
( ~ related(X1,X6,X5)
& relstr_element_smaller(X1,X2,X6)
& element(X6,the_carrier(X1)) )
=> ( ~ related(X1,sK6(X1,X2,X5),X5)
& relstr_element_smaller(X1,X2,sK6(X1,X2,X5))
& element(sK6(X1,X2,X5),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f30,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( X0 != X3 )
& ! [X4] :
( related(X1,X4,X3)
| ~ relstr_element_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) )
& relstr_element_smaller(X1,X2,X3)
& element(X3,the_carrier(X1)) ) )
& ( ! [X5] :
( ( X0 = X5 )
| ? [X6] :
( ~ related(X1,X6,X5)
& relstr_element_smaller(X1,X2,X6)
& element(X6,the_carrier(X1)) )
| ~ relstr_element_smaller(X1,X2,X5)
| ~ element(X5,the_carrier(X1)) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f29]) ).
tff(f29,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ? [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)) ) )
& ( ! [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)) )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f20]) ).
tff(f168,plain,
( ~ related(sK1,sK4,sK5(sK4,sK1,sK2))
| spl12_13 ),
inference(avatar_component_clause,[],[f166]) ).
tff(f166,plain,
( spl12_13
<=> related(sK1,sK4,sK5(sK4,sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
tff(f220,plain,
( ~ spl12_12
| ~ spl12_13
| ~ spl12_7
| spl12_10 ),
inference(avatar_split_clause,[],[f219,f147,f102,f166,f162]) ).
tff(f162,plain,
( spl12_12
<=> related(sK1,sK5(sK4,sK1,sK2),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
tff(f219,plain,
( ~ related(sK1,sK4,sK5(sK4,sK1,sK2))
| ~ related(sK1,sK5(sK4,sK1,sK2),sK4)
| ~ spl12_7
| spl12_10 ),
inference(subsumption_resolution,[],[f218,f149]) ).
tff(f218,plain,
( ~ related(sK1,sK4,sK5(sK4,sK1,sK2))
| ~ related(sK1,sK5(sK4,sK1,sK2),sK4)
| sP0(sK4,sK1,sK2)
| ~ spl12_7
| spl12_10 ),
inference(subsumption_resolution,[],[f217,f43]) ).
tff(f43,plain,
antisymmetric_relstr(sK1),
inference(cnf_transformation,[],[f28]) ).
tff(f217,plain,
( ~ related(sK1,sK4,sK5(sK4,sK1,sK2))
| ~ antisymmetric_relstr(sK1)
| ~ related(sK1,sK5(sK4,sK1,sK2),sK4)
| sP0(sK4,sK1,sK2)
| ~ spl12_7
| spl12_10 ),
inference(subsumption_resolution,[],[f216,f44]) ).
tff(f216,plain,
( ~ related(sK1,sK4,sK5(sK4,sK1,sK2))
| ~ rel_str(sK1)
| ~ antisymmetric_relstr(sK1)
| ~ related(sK1,sK5(sK4,sK1,sK2),sK4)
| sP0(sK4,sK1,sK2)
| ~ spl12_7
| spl12_10 ),
inference(subsumption_resolution,[],[f206,f104]) ).
tff(f206,plain,
( ~ related(sK1,sK4,sK5(sK4,sK1,sK2))
| ~ element(sK4,the_carrier(sK1))
| ~ rel_str(sK1)
| ~ antisymmetric_relstr(sK1)
| ~ related(sK1,sK5(sK4,sK1,sK2),sK4)
| sP0(sK4,sK1,sK2)
| spl12_10 ),
inference(resolution,[],[f205,f55]) ).
tff(f55,plain,
! [X2: $i,X0: $i,X1: $i] :
( element(sK5(X0,X1,X2),the_carrier(X1))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f33]) ).
tff(f205,plain,
( ! [X0: $i] :
( ~ element(sK5(sK4,sK1,sK2),the_carrier(X0))
| ~ related(X0,sK4,sK5(sK4,sK1,sK2))
| ~ element(sK4,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ related(X0,sK5(sK4,sK1,sK2),sK4) )
| spl12_10 ),
inference(resolution,[],[f149,f139]) ).
tff(f139,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( sP0(X1,X2,X3)
| ~ related(X0,X1,sK5(X1,X2,X3))
| ~ element(sK5(X1,X2,X3),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ related(X0,sK5(X1,X2,X3),X1) ),
inference(resolution,[],[f69,f106]) ).
tff(f106,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ sQ11_eqProxy($i,X0,sK5(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(forward_literal_rewriting,[],[f70,f75]) ).
tff(f75,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ11_eqProxy(X0,X2,X1)
| ~ sQ11_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f68]) ).
tff(f68,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ11_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ11_eqProxy])]) ).
tff(f70,plain,
! [X2: $i,X0: $i,X1: $i] :
( sP0(X0,X1,X2)
| ~ sQ11_eqProxy($i,sK5(X0,X1,X2),X0) ),
inference(equality_proxy_replacement,[],[f58,f68]) ).
tff(f58,plain,
! [X2: $i,X0: $i,X1: $i] :
( sP0(X0,X1,X2)
| ( sK5(X0,X1,X2) != X0 ) ),
inference(cnf_transformation,[],[f33]) ).
tff(f69,plain,
! [X2: $i,X0: $i,X1: $i] :
( sQ11_eqProxy($i,X1,X2)
| ~ related(X0,X2,X1)
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(equality_proxy_replacement,[],[f51,f68]) ).
tff(f51,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ~ related(X0,X2,X1)
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X1 = X2 )
| ~ related(X0,X2,X1)
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X1 = X2 )
| ~ related(X0,X2,X1)
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,axiom,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(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/sandbox/tmp/tmp.3dmeUT72nM/Vampire---4.8_29563',t25_orders_2) ).
tff(f215,plain,
( spl12_10
| spl12_15 ),
inference(avatar_contradiction_clause,[],[f214]) ).
tff(f214,plain,
( $false
| spl12_10
| spl12_15 ),
inference(subsumption_resolution,[],[f213,f149]) ).
tff(f213,plain,
( sP0(sK4,sK1,sK2)
| spl12_15 ),
inference(resolution,[],[f184,f55]) ).
tff(f184,plain,
( ~ element(sK5(sK4,sK1,sK2),the_carrier(sK1))
| spl12_15 ),
inference(avatar_component_clause,[],[f182]) ).
tff(f182,plain,
( spl12_15
<=> element(sK5(sK4,sK1,sK2),the_carrier(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
tff(f204,plain,
( ~ spl12_10
| spl12_1
| ~ spl12_6
| ~ spl12_7
| spl12_11 ),
inference(avatar_split_clause,[],[f203,f151,f102,f97,f77,f147]) ).
tff(f151,plain,
( spl12_11
<=> element(sK7(sK1,sK2,sK4),the_carrier(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
tff(f203,plain,
( ~ sP0(sK4,sK1,sK2)
| spl12_1
| ~ spl12_6
| ~ spl12_7
| spl12_11 ),
inference(subsumption_resolution,[],[f202,f44]) ).
tff(f202,plain,
( ~ sP0(sK4,sK1,sK2)
| ~ rel_str(sK1)
| spl12_1
| ~ spl12_6
| ~ spl12_7
| spl12_11 ),
inference(subsumption_resolution,[],[f201,f104]) ).
tff(f201,plain,
( ~ sP0(sK4,sK1,sK2)
| ~ element(sK4,the_carrier(sK1))
| ~ rel_str(sK1)
| spl12_1
| ~ spl12_6
| spl12_11 ),
inference(subsumption_resolution,[],[f200,f99]) ).
tff(f200,plain,
( ~ sP0(sK4,sK1,sK2)
| ~ relstr_element_smaller(sK1,sK2,sK4)
| ~ element(sK4,the_carrier(sK1))
| ~ rel_str(sK1)
| spl12_1
| spl12_11 ),
inference(subsumption_resolution,[],[f193,f79]) ).
tff(f79,plain,
( ~ ex_inf_of_relstr_set(sK1,sK2)
| spl12_1 ),
inference(avatar_component_clause,[],[f77]) ).
tff(f193,plain,
( ~ sP0(sK4,sK1,sK2)
| ex_inf_of_relstr_set(sK1,sK2)
| ~ relstr_element_smaller(sK1,sK2,sK4)
| ~ element(sK4,the_carrier(sK1))
| ~ rel_str(sK1)
| spl12_11 ),
inference(resolution,[],[f153,f63]) ).
tff(f63,plain,
! [X2: $i,X0: $i,X1: $i] :
( element(sK7(X0,X1,X2),the_carrier(X0))
| ~ sP0(X2,X0,X1)
| ex_inf_of_relstr_set(X0,X1)
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f38]) ).
tff(f153,plain,
( ~ element(sK7(sK1,sK2,sK4),the_carrier(sK1))
| spl12_11 ),
inference(avatar_component_clause,[],[f151]) ).
tff(f192,plain,
( spl12_10
| spl12_14 ),
inference(avatar_split_clause,[],[f189,f178,f147]) ).
tff(f178,plain,
( spl12_14
<=> relstr_element_smaller(sK1,sK2,sK5(sK4,sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
tff(f189,plain,
( sP0(sK4,sK1,sK2)
| spl12_14 ),
inference(resolution,[],[f180,f56]) ).
tff(f56,plain,
! [X2: $i,X0: $i,X1: $i] :
( relstr_element_smaller(X1,X2,sK5(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f33]) ).
tff(f180,plain,
( ~ relstr_element_smaller(sK1,sK2,sK5(sK4,sK1,sK2))
| spl12_14 ),
inference(avatar_component_clause,[],[f178]) ).
tff(f185,plain,
( ~ spl12_14
| ~ spl12_15
| ~ spl12_5
| spl12_12 ),
inference(avatar_split_clause,[],[f176,f162,f93,f182,f178]) ).
tff(f93,plain,
( spl12_5
<=> ! [X5] :
( related(sK1,X5,sK4)
| ~ element(X5,the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
tff(f176,plain,
( ~ element(sK5(sK4,sK1,sK2),the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,sK5(sK4,sK1,sK2))
| ~ spl12_5
| spl12_12 ),
inference(resolution,[],[f164,f94]) ).
tff(f94,plain,
( ! [X5: $i] :
( related(sK1,X5,sK4)
| ~ element(X5,the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,X5) )
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f93]) ).
tff(f164,plain,
( ~ related(sK1,sK5(sK4,sK1,sK2),sK4)
| spl12_12 ),
inference(avatar_component_clause,[],[f162]) ).
tff(f154,plain,
( ~ spl12_10
| ~ spl12_11
| spl12_1
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7 ),
inference(avatar_split_clause,[],[f145,f102,f97,f93,f77,f151,f147]) ).
tff(f145,plain,
( ~ element(sK7(sK1,sK2,sK4),the_carrier(sK1))
| ~ sP0(sK4,sK1,sK2)
| spl12_1
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7 ),
inference(subsumption_resolution,[],[f144,f44]) ).
tff(f144,plain,
( ~ element(sK7(sK1,sK2,sK4),the_carrier(sK1))
| ~ sP0(sK4,sK1,sK2)
| ~ rel_str(sK1)
| spl12_1
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7 ),
inference(subsumption_resolution,[],[f143,f104]) ).
tff(f143,plain,
( ~ element(sK7(sK1,sK2,sK4),the_carrier(sK1))
| ~ sP0(sK4,sK1,sK2)
| ~ element(sK4,the_carrier(sK1))
| ~ rel_str(sK1)
| spl12_1
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7 ),
inference(subsumption_resolution,[],[f142,f99]) ).
tff(f142,plain,
( ~ relstr_element_smaller(sK1,sK2,sK4)
| ~ element(sK7(sK1,sK2,sK4),the_carrier(sK1))
| ~ sP0(sK4,sK1,sK2)
| ~ element(sK4,the_carrier(sK1))
| ~ rel_str(sK1)
| spl12_1
| ~ spl12_5
| ~ spl12_7 ),
inference(subsumption_resolution,[],[f141,f79]) ).
tff(f141,plain,
( ex_inf_of_relstr_set(sK1,sK2)
| ~ relstr_element_smaller(sK1,sK2,sK4)
| ~ element(sK7(sK1,sK2,sK4),the_carrier(sK1))
| ~ sP0(sK4,sK1,sK2)
| ~ element(sK4,the_carrier(sK1))
| ~ rel_str(sK1)
| ~ spl12_5
| ~ spl12_7 ),
inference(duplicate_literal_removal,[],[f140]) ).
tff(f140,plain,
( ex_inf_of_relstr_set(sK1,sK2)
| ~ relstr_element_smaller(sK1,sK2,sK4)
| ~ element(sK7(sK1,sK2,sK4),the_carrier(sK1))
| ~ sP0(sK4,sK1,sK2)
| ~ sP0(sK4,sK1,sK2)
| ex_inf_of_relstr_set(sK1,sK2)
| ~ relstr_element_smaller(sK1,sK2,sK4)
| ~ element(sK4,the_carrier(sK1))
| ~ rel_str(sK1)
| ~ spl12_5
| ~ spl12_7 ),
inference(resolution,[],[f136,f64]) ).
tff(f64,plain,
! [X2: $i,X0: $i,X1: $i] :
( relstr_element_smaller(X0,X1,sK7(X0,X1,X2))
| ~ sP0(X2,X0,X1)
| ex_inf_of_relstr_set(X0,X1)
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f38]) ).
tff(f136,plain,
( ! [X0: $i] :
( ~ relstr_element_smaller(sK1,sK2,sK7(sK1,X0,sK4))
| ex_inf_of_relstr_set(sK1,X0)
| ~ relstr_element_smaller(sK1,X0,sK4)
| ~ element(sK7(sK1,X0,sK4),the_carrier(sK1))
| ~ sP0(sK4,sK1,X0) )
| ~ spl12_5
| ~ spl12_7 ),
inference(subsumption_resolution,[],[f135,f44]) ).
tff(f135,plain,
( ! [X0: $i] :
( ~ sP0(sK4,sK1,X0)
| ex_inf_of_relstr_set(sK1,X0)
| ~ relstr_element_smaller(sK1,X0,sK4)
| ~ rel_str(sK1)
| ~ element(sK7(sK1,X0,sK4),the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,sK7(sK1,X0,sK4)) )
| ~ spl12_5
| ~ spl12_7 ),
inference(subsumption_resolution,[],[f131,f104]) ).
tff(f131,plain,
( ! [X0: $i] :
( ~ sP0(sK4,sK1,X0)
| ex_inf_of_relstr_set(sK1,X0)
| ~ relstr_element_smaller(sK1,X0,sK4)
| ~ element(sK4,the_carrier(sK1))
| ~ rel_str(sK1)
| ~ element(sK7(sK1,X0,sK4),the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,sK7(sK1,X0,sK4)) )
| ~ spl12_5 ),
inference(resolution,[],[f65,f94]) ).
tff(f65,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ related(X0,sK7(X0,X1,X2),X2)
| ~ sP0(X2,X0,X1)
| ex_inf_of_relstr_set(X0,X1)
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f38]) ).
tff(f105,plain,
( spl12_1
| spl12_7 ),
inference(avatar_split_clause,[],[f45,f102,f77]) ).
tff(f45,plain,
( element(sK4,the_carrier(sK1))
| ex_inf_of_relstr_set(sK1,sK2) ),
inference(cnf_transformation,[],[f28]) ).
tff(f100,plain,
( spl12_1
| spl12_6 ),
inference(avatar_split_clause,[],[f46,f97,f77]) ).
tff(f46,plain,
( relstr_element_smaller(sK1,sK2,sK4)
| ex_inf_of_relstr_set(sK1,sK2) ),
inference(cnf_transformation,[],[f28]) ).
tff(f95,plain,
( spl12_1
| spl12_5 ),
inference(avatar_split_clause,[],[f47,f93,f77]) ).
tff(f47,plain,
! [X5: $i] :
( related(sK1,X5,sK4)
| ~ relstr_element_smaller(sK1,sK2,X5)
| ~ element(X5,the_carrier(sK1))
| ex_inf_of_relstr_set(sK1,sK2) ),
inference(cnf_transformation,[],[f28]) ).
tff(f91,plain,
( ~ spl12_1
| spl12_4 ),
inference(avatar_split_clause,[],[f48,f89,f77]) ).
tff(f48,plain,
! [X2: $i] :
( element(sK3(X2),the_carrier(sK1))
| ~ relstr_element_smaller(sK1,sK2,X2)
| ~ element(X2,the_carrier(sK1))
| ~ ex_inf_of_relstr_set(sK1,sK2) ),
inference(cnf_transformation,[],[f28]) ).
tff(f87,plain,
( ~ spl12_1
| spl12_3 ),
inference(avatar_split_clause,[],[f49,f85,f77]) ).
tff(f49,plain,
! [X2: $i] :
( relstr_element_smaller(sK1,sK2,sK3(X2))
| ~ relstr_element_smaller(sK1,sK2,X2)
| ~ element(X2,the_carrier(sK1))
| ~ ex_inf_of_relstr_set(sK1,sK2) ),
inference(cnf_transformation,[],[f28]) ).
tff(f83,plain,
( ~ spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f50,f81,f77]) ).
tff(f50,plain,
! [X2: $i] :
( ~ related(sK1,sK3(X2),X2)
| ~ relstr_element_smaller(sK1,sK2,X2)
| ~ element(X2,the_carrier(sK1))
| ~ ex_inf_of_relstr_set(sK1,sK2) ),
inference(cnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU357+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 11:43:31 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.3dmeUT72nM/Vampire---4.8_29563
% 0.64/0.79 % (29902)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.64/0.79 % (29904)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.79 % (29903)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.64/0.79 % (29907)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.64/0.79 % (29905)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.64/0.79 % (29909)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.64/0.80 % (29908)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.64/0.80 % (29906)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.64/0.80 % (29905)Refutation not found, incomplete strategy% (29905)------------------------------
% 0.64/0.80 % (29905)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80 % (29905)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (29905)Memory used [KB]: 1036
% 0.64/0.80 % (29905)Time elapsed: 0.004 s
% 0.64/0.80 % (29905)Instructions burned: 5 (million)
% 0.64/0.80 % (29906)Refutation not found, incomplete strategy% (29906)------------------------------
% 0.64/0.80 % (29906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80 % (29906)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (29906)Memory used [KB]: 1055
% 0.64/0.80 % (29906)Time elapsed: 0.005 s
% 0.64/0.80 % (29906)Instructions burned: 4 (million)
% 0.64/0.80 % (29905)------------------------------
% 0.64/0.80 % (29905)------------------------------
% 0.64/0.80 % (29906)------------------------------
% 0.64/0.80 % (29906)------------------------------
% 0.64/0.80 % (29908)Refutation not found, incomplete strategy% (29908)------------------------------
% 0.64/0.80 % (29908)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80 % (29908)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (29908)Memory used [KB]: 1054
% 0.64/0.80 % (29908)Time elapsed: 0.005 s
% 0.64/0.80 % (29908)Instructions burned: 6 (million)
% 0.64/0.80 % (29908)------------------------------
% 0.64/0.80 % (29908)------------------------------
% 0.64/0.80 % (29902)First to succeed.
% 0.64/0.80 % (29907)Also succeeded, but the first one will report.
% 0.64/0.80 % (29910)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.64/0.80 % (29911)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.64/0.80 % (29912)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.64/0.80 % (29902)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29807"
% 0.64/0.80 % (29904)Also succeeded, but the first one will report.
% 0.64/0.80 % (29902)Refutation found. Thanks to Tanya!
% 0.64/0.80 % SZS status Theorem for Vampire---4
% 0.64/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.81 % (29902)------------------------------
% 0.64/0.81 % (29902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (29902)Termination reason: Refutation
% 0.64/0.81
% 0.64/0.81 % (29902)Memory used [KB]: 1134
% 0.64/0.81 % (29902)Time elapsed: 0.010 s
% 0.64/0.81 % (29902)Instructions burned: 16 (million)
% 0.64/0.81 % (29807)Success in time 0.424 s
% 0.64/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------