TSTP Solution File: SEU181+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU181+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n026.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 May 1 03:50:30 EDT 2024
% Result : Theorem 0.58s 0.79s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of formulae : 98 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 928 ( 49 equ)
% Maximal formula atoms : 12 ( 9 avg)
% Number of connectives : 492 ( 203 ~; 220 |; 39 &)
% ( 15 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 542 ( 542 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 4 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 221 ( 186 !; 34 ?; 103 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_6,type,
sQ10_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f467,plain,
$false,
inference(avatar_sat_refutation,[],[f121,f422,f465]) ).
tff(f465,plain,
spl11_2,
inference(avatar_contradiction_clause,[],[f464]) ).
tff(f464,plain,
( $false
| spl11_2 ),
inference(subsumption_resolution,[],[f463,f70]) ).
tff(f70,plain,
relation(sK0),
inference(cnf_transformation,[],[f49]) ).
tff(f49,plain,
( ( ( relation_dom(sK0) != relation_rng(relation_inverse(sK0)) )
| ( relation_rng(sK0) != relation_dom(relation_inverse(sK0)) ) )
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f41,f48]) ).
tff(f48,plain,
( ? [X0] :
( ( ( relation_dom(X0) != relation_rng(relation_inverse(X0)) )
| ( relation_rng(X0) != relation_dom(relation_inverse(X0)) ) )
& relation(X0) )
=> ( ( ( relation_dom(sK0) != relation_rng(relation_inverse(sK0)) )
| ( relation_rng(sK0) != relation_dom(relation_inverse(sK0)) ) )
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f41,plain,
? [X0] :
( ( ( relation_dom(X0) != relation_rng(relation_inverse(X0)) )
| ( relation_rng(X0) != relation_dom(relation_inverse(X0)) ) )
& relation(X0) ),
inference(ennf_transformation,[],[f34]) ).
tff(f34,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( ( relation_dom(X0) = relation_rng(relation_inverse(X0)) )
& ( relation_rng(X0) = relation_dom(relation_inverse(X0)) ) ) ),
inference(negated_conjecture,[],[f33]) ).
tff(f33,conjecture,
! [X0] :
( relation(X0)
=> ( ( relation_dom(X0) = relation_rng(relation_inverse(X0)) )
& ( relation_rng(X0) = relation_dom(relation_inverse(X0)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.thwrgu34na/Vampire---4.8_1985',t37_relat_1) ).
tff(f463,plain,
( ~ relation(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f462,f435]) ).
tff(f435,plain,
( ~ in(sK3(sK0,relation_rng(relation_inverse(sK0))),relation_rng(relation_inverse(sK0)))
| spl11_2 ),
inference(subsumption_resolution,[],[f434,f252]) ).
tff(f252,plain,
! [X0: $i] :
( in(X0,relation_dom(sK0))
| ~ in(X0,relation_rng(relation_inverse(sK0))) ),
inference(subsumption_resolution,[],[f249,f70]) ).
tff(f249,plain,
! [X0: $i] :
( ~ in(X0,relation_rng(relation_inverse(sK0)))
| in(X0,relation_dom(sK0))
| ~ relation(sK0) ),
inference(resolution,[],[f203,f96]) ).
tff(f96,plain,
! [X0: $i,X6: $i,X5: $i] :
( ~ in(ordered_pair(X5,X6),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f82]) ).
tff(f82,plain,
! [X0: $i,X1: $i,X6: $i,X5: $i] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| ( relation_dom(X0) != X1 )
| ~ relation(X0) ),
inference(cnf_transformation,[],[f61]) ).
tff(f61,plain,
! [X0] :
( ! [X1] :
( ( ( relation_dom(X0) = X1 )
| ( ( ! [X3] : ~ in(ordered_pair(sK3(X0,X1),X3),X0)
| ~ in(sK3(X0,X1),X1) )
& ( in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0)
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK5(X0,X5)),X0)
| ~ in(X5,X1) ) )
| ( relation_dom(X0) != X1 ) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f57,f60,f59,f58]) ).
tff(f58,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(sK3(X0,X1),X3),X0)
| ~ in(sK3(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK3(X0,X1),X4),X0)
| in(sK3(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f59,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK3(X0,X1),X4),X0)
=> in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
tff(f60,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK5(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
tff(f57,plain,
! [X0] :
( ! [X1] :
( ( ( relation_dom(X0) = X1 )
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| ( relation_dom(X0) != X1 ) ) )
| ~ relation(X0) ),
inference(rectify,[],[f56]) ).
tff(f56,plain,
! [X0] :
( ! [X1] :
( ( ( relation_dom(X0) = X1 )
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| ( relation_dom(X0) != X1 ) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f45]) ).
tff(f45,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1 )
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ( relation_dom(X0) = X1 )
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.thwrgu34na/Vampire---4.8_1985',d4_relat_1) ).
tff(f203,plain,
! [X0: $i] :
( in(ordered_pair(X0,sK9(relation_inverse(sK0),X0)),sK0)
| ~ in(X0,relation_rng(relation_inverse(sK0))) ),
inference(resolution,[],[f163,f70]) ).
tff(f163,plain,
! [X0: $i,X1: $i] :
( ~ relation(X1)
| in(ordered_pair(X0,sK9(relation_inverse(X1),X0)),X1)
| ~ in(X0,relation_rng(relation_inverse(X1))) ),
inference(subsumption_resolution,[],[f160,f87]) ).
tff(f87,plain,
! [X0: $i] :
( relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f46]) ).
tff(f46,plain,
! [X0] :
( relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,axiom,
! [X0] :
( relation(X0)
=> relation(relation_inverse(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.thwrgu34na/Vampire---4.8_1985',dt_k4_relat_1) ).
tff(f160,plain,
! [X0: $i,X1: $i] :
( in(ordered_pair(X0,sK9(relation_inverse(X1),X0)),X1)
| ~ relation(X1)
| ~ in(X0,relation_rng(relation_inverse(X1)))
| ~ relation(relation_inverse(X1)) ),
inference(resolution,[],[f157,f99]) ).
tff(f99,plain,
! [X0: $i,X5: $i] :
( in(ordered_pair(sK9(X0,X5),X5),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f88]) ).
tff(f88,plain,
! [X0: $i,X1: $i,X5: $i] :
( in(ordered_pair(sK9(X0,X5),X5),X0)
| ~ in(X5,X1)
| ( relation_rng(X0) != X1 )
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
tff(f69,plain,
! [X0] :
( ! [X1] :
( ( ( relation_rng(X0) = X1 )
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK7(X0,X1)),X0)
| ~ in(sK7(X0,X1),X1) )
& ( in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0)
| in(sK7(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK9(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| ( relation_rng(X0) != X1 ) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f65,f68,f67,f66]) ).
tff(f66,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(X3,sK7(X0,X1)),X0)
| ~ in(sK7(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK7(X0,X1)),X0)
| in(sK7(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f67,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK7(X0,X1)),X0)
=> in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
tff(f68,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK9(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
tff(f65,plain,
! [X0] :
( ! [X1] :
( ( ( relation_rng(X0) = X1 )
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| ( relation_rng(X0) != X1 ) ) )
| ~ relation(X0) ),
inference(rectify,[],[f64]) ).
tff(f64,plain,
! [X0] :
( ! [X1] :
( ( ( relation_rng(X0) = X1 )
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| ( relation_rng(X0) != X1 ) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1 )
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
tff(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ( relation_rng(X0) = X1 )
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.thwrgu34na/Vampire---4.8_1985',d5_relat_1) ).
tff(f157,plain,
! [X0: $i,X4: $i,X5: $i] :
( ~ in(ordered_pair(X4,X5),relation_inverse(X0))
| in(ordered_pair(X5,X4),X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f93,f87]) ).
tff(f93,plain,
! [X0: $i,X4: $i,X5: $i] :
( in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),relation_inverse(X0))
| ~ relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f74]) ).
tff(f74,plain,
! [X0: $i,X1: $i,X4: $i,X5: $i] :
( in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X1)
| ( relation_inverse(X0) != X1 )
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f53]) ).
tff(f53,plain,
! [X0] :
( ! [X1] :
( ( ( ( relation_inverse(X0) = X1 )
| ( ( ~ in(ordered_pair(sK2(X0,X1),sK1(X0,X1)),X0)
| ~ in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X1) )
& ( in(ordered_pair(sK2(X0,X1),sK1(X0,X1)),X0)
| in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X1) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(X5,X4),X0) )
& ( in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X1) ) )
| ( relation_inverse(X0) != X1 ) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f51,f52]) ).
tff(f52,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X1) )
& ( in(ordered_pair(X3,X2),X0)
| in(ordered_pair(X2,X3),X1) ) )
=> ( ( ~ in(ordered_pair(sK2(X0,X1),sK1(X0,X1)),X0)
| ~ in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X1) )
& ( in(ordered_pair(sK2(X0,X1),sK1(X0,X1)),X0)
| in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f51,plain,
! [X0] :
( ! [X1] :
( ( ( ( relation_inverse(X0) = X1 )
| ? [X2,X3] :
( ( ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X1) )
& ( in(ordered_pair(X3,X2),X0)
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(X5,X4),X0) )
& ( in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X1) ) )
| ( relation_inverse(X0) != X1 ) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f50]) ).
tff(f50,plain,
! [X0] :
( ! [X1] :
( ( ( ( relation_inverse(X0) = X1 )
| ? [X2,X3] :
( ( ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X1) )
& ( in(ordered_pair(X3,X2),X0)
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X3,X2),X0) )
& ( in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X1) ) )
| ( relation_inverse(X0) != X1 ) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f44]) ).
tff(f44,plain,
! [X0] :
( ! [X1] :
( ( ( relation_inverse(X0) = X1 )
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( ( relation_inverse(X0) = X1 )
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> in(ordered_pair(X3,X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.thwrgu34na/Vampire---4.8_1985',d7_relat_1) ).
tff(f434,plain,
( ~ in(sK3(sK0,relation_rng(relation_inverse(sK0))),relation_rng(relation_inverse(sK0)))
| ~ in(sK3(sK0,relation_rng(relation_inverse(sK0))),relation_dom(sK0))
| spl11_2 ),
inference(subsumption_resolution,[],[f429,f70]) ).
tff(f429,plain,
( ~ in(sK3(sK0,relation_rng(relation_inverse(sK0))),relation_rng(relation_inverse(sK0)))
| ~ relation(sK0)
| ~ in(sK3(sK0,relation_rng(relation_inverse(sK0))),relation_dom(sK0))
| spl11_2 ),
inference(resolution,[],[f120,f166]) ).
tff(f166,plain,
! [X0: $i,X1: $i] :
( sQ10_eqProxy($i,relation_dom(X0),X1)
| ~ in(sK3(X0,X1),X1)
| ~ relation(X0)
| ~ in(sK3(X0,X1),relation_dom(X0)) ),
inference(duplicate_literal_removal,[],[f164]) ).
tff(f164,plain,
! [X0: $i,X1: $i] :
( sQ10_eqProxy($i,relation_dom(X0),X1)
| ~ in(sK3(X0,X1),X1)
| ~ relation(X0)
| ~ in(sK3(X0,X1),relation_dom(X0))
| ~ relation(X0) ),
inference(resolution,[],[f107,f97]) ).
tff(f97,plain,
! [X0: $i,X5: $i] :
( in(ordered_pair(X5,sK5(X0,X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f81]) ).
tff(f81,plain,
! [X0: $i,X1: $i,X5: $i] :
( in(ordered_pair(X5,sK5(X0,X5)),X0)
| ~ in(X5,X1)
| ( relation_dom(X0) != X1 )
| ~ relation(X0) ),
inference(cnf_transformation,[],[f61]) ).
tff(f107,plain,
! [X3: $i,X0: $i,X1: $i] :
( ~ in(ordered_pair(sK3(X0,X1),X3),X0)
| sQ10_eqProxy($i,relation_dom(X0),X1)
| ~ in(sK3(X0,X1),X1)
| ~ relation(X0) ),
inference(equality_proxy_replacement,[],[f84,f100]) ).
tff(f100,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ10_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ10_eqProxy])]) ).
tff(f84,plain,
! [X3: $i,X0: $i,X1: $i] :
( ( relation_dom(X0) = X1 )
| ~ in(ordered_pair(sK3(X0,X1),X3),X0)
| ~ in(sK3(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f61]) ).
tff(f120,plain,
( ~ sQ10_eqProxy($i,relation_dom(sK0),relation_rng(relation_inverse(sK0)))
| spl11_2 ),
inference(avatar_component_clause,[],[f118]) ).
tff(f118,plain,
( spl11_2
<=> sQ10_eqProxy($i,relation_dom(sK0),relation_rng(relation_inverse(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
tff(f462,plain,
( in(sK3(sK0,relation_rng(relation_inverse(sK0))),relation_rng(relation_inverse(sK0)))
| ~ relation(sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f460,f120]) ).
tff(f460,plain,
( sQ10_eqProxy($i,relation_dom(sK0),relation_rng(relation_inverse(sK0)))
| in(sK3(sK0,relation_rng(relation_inverse(sK0))),relation_rng(relation_inverse(sK0)))
| ~ relation(sK0)
| spl11_2 ),
inference(resolution,[],[f457,f108]) ).
tff(f108,plain,
! [X0: $i,X1: $i] :
( in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0)
| sQ10_eqProxy($i,relation_dom(X0),X1)
| in(sK3(X0,X1),X1)
| ~ relation(X0) ),
inference(equality_proxy_replacement,[],[f83,f100]) ).
tff(f83,plain,
! [X0: $i,X1: $i] :
( ( relation_dom(X0) = X1 )
| in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0)
| in(sK3(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f61]) ).
tff(f457,plain,
( ! [X0: $i] : ~ in(ordered_pair(sK3(sK0,relation_rng(relation_inverse(sK0))),X0),sK0)
| spl11_2 ),
inference(subsumption_resolution,[],[f456,f70]) ).
tff(f456,plain,
( ! [X0: $i] :
( ~ relation(sK0)
| ~ in(ordered_pair(sK3(sK0,relation_rng(relation_inverse(sK0))),X0),sK0) )
| spl11_2 ),
inference(resolution,[],[f435,f155]) ).
tff(f155,plain,
! [X2: $i,X0: $i,X1: $i] :
( in(X0,relation_rng(relation_inverse(X2)))
| ~ relation(X2)
| ~ in(ordered_pair(X0,X1),X2) ),
inference(subsumption_resolution,[],[f153,f87]) ).
tff(f153,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2)
| in(X0,relation_rng(relation_inverse(X2)))
| ~ relation(relation_inverse(X2)) ),
inference(resolution,[],[f152,f98]) ).
tff(f98,plain,
! [X0: $i,X6: $i,X5: $i] :
( ~ in(ordered_pair(X6,X5),X0)
| in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f89]) ).
tff(f89,plain,
! [X0: $i,X1: $i,X6: $i,X5: $i] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| ( relation_rng(X0) != X1 )
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
tff(f152,plain,
! [X0: $i,X4: $i,X5: $i] :
( in(ordered_pair(X4,X5),relation_inverse(X0))
| ~ in(ordered_pair(X5,X4),X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f92,f87]) ).
tff(f92,plain,
! [X0: $i,X4: $i,X5: $i] :
( in(ordered_pair(X4,X5),relation_inverse(X0))
| ~ in(ordered_pair(X5,X4),X0)
| ~ relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f75]) ).
tff(f75,plain,
! [X0: $i,X1: $i,X4: $i,X5: $i] :
( in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(X5,X4),X0)
| ( relation_inverse(X0) != X1 )
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f53]) ).
tff(f422,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f421]) ).
tff(f421,plain,
( $false
| spl11_1 ),
inference(subsumption_resolution,[],[f420,f70]) ).
tff(f420,plain,
( ~ relation(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f419,f381]) ).
tff(f381,plain,
( ~ in(sK7(sK0,relation_dom(relation_inverse(sK0))),relation_dom(relation_inverse(sK0)))
| spl11_1 ),
inference(subsumption_resolution,[],[f380,f116]) ).
tff(f116,plain,
( ~ sQ10_eqProxy($i,relation_rng(sK0),relation_dom(relation_inverse(sK0)))
| spl11_1 ),
inference(avatar_component_clause,[],[f114]) ).
tff(f114,plain,
( spl11_1
<=> sQ10_eqProxy($i,relation_rng(sK0),relation_dom(relation_inverse(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
tff(f380,plain,
( ~ in(sK7(sK0,relation_dom(relation_inverse(sK0))),relation_dom(relation_inverse(sK0)))
| sQ10_eqProxy($i,relation_rng(sK0),relation_dom(relation_inverse(sK0))) ),
inference(factoring,[],[f211]) ).
tff(f211,plain,
! [X0: $i] :
( ~ in(sK7(sK0,X0),relation_dom(relation_inverse(sK0)))
| sQ10_eqProxy($i,relation_rng(sK0),X0)
| ~ in(sK7(sK0,X0),X0) ),
inference(subsumption_resolution,[],[f208,f70]) ).
tff(f208,plain,
! [X0: $i] :
( ~ in(sK7(sK0,X0),relation_dom(relation_inverse(sK0)))
| sQ10_eqProxy($i,relation_rng(sK0),X0)
| ~ in(sK7(sK0,X0),X0)
| ~ relation(sK0) ),
inference(resolution,[],[f200,f109]) ).
tff(f109,plain,
! [X3: $i,X0: $i,X1: $i] :
( ~ in(ordered_pair(X3,sK7(X0,X1)),X0)
| sQ10_eqProxy($i,relation_rng(X0),X1)
| ~ in(sK7(X0,X1),X1)
| ~ relation(X0) ),
inference(equality_proxy_replacement,[],[f91,f100]) ).
tff(f91,plain,
! [X3: $i,X0: $i,X1: $i] :
( ( relation_rng(X0) = X1 )
| ~ in(ordered_pair(X3,sK7(X0,X1)),X0)
| ~ in(sK7(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
tff(f200,plain,
! [X0: $i] :
( in(ordered_pair(sK5(relation_inverse(sK0),X0),X0),sK0)
| ~ in(X0,relation_dom(relation_inverse(sK0))) ),
inference(resolution,[],[f162,f70]) ).
tff(f162,plain,
! [X0: $i,X1: $i] :
( ~ relation(X0)
| in(ordered_pair(sK5(relation_inverse(X0),X1),X1),X0)
| ~ in(X1,relation_dom(relation_inverse(X0))) ),
inference(subsumption_resolution,[],[f159,f87]) ).
tff(f159,plain,
! [X0: $i,X1: $i] :
( in(ordered_pair(sK5(relation_inverse(X0),X1),X1),X0)
| ~ relation(X0)
| ~ in(X1,relation_dom(relation_inverse(X0)))
| ~ relation(relation_inverse(X0)) ),
inference(resolution,[],[f157,f97]) ).
tff(f419,plain,
( in(sK7(sK0,relation_dom(relation_inverse(sK0))),relation_dom(relation_inverse(sK0)))
| ~ relation(sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f417,f116]) ).
tff(f417,plain,
( sQ10_eqProxy($i,relation_rng(sK0),relation_dom(relation_inverse(sK0)))
| in(sK7(sK0,relation_dom(relation_inverse(sK0))),relation_dom(relation_inverse(sK0)))
| ~ relation(sK0)
| spl11_1 ),
inference(resolution,[],[f383,f110]) ).
tff(f110,plain,
! [X0: $i,X1: $i] :
( in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0)
| sQ10_eqProxy($i,relation_rng(X0),X1)
| in(sK7(X0,X1),X1)
| ~ relation(X0) ),
inference(equality_proxy_replacement,[],[f90,f100]) ).
tff(f90,plain,
! [X0: $i,X1: $i] :
( ( relation_rng(X0) = X1 )
| in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0)
| in(sK7(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
tff(f383,plain,
( ! [X0: $i] : ~ in(ordered_pair(X0,sK7(sK0,relation_dom(relation_inverse(sK0)))),sK0)
| spl11_1 ),
inference(subsumption_resolution,[],[f382,f70]) ).
tff(f382,plain,
( ! [X0: $i] :
( ~ relation(sK0)
| ~ in(ordered_pair(X0,sK7(sK0,relation_dom(relation_inverse(sK0)))),sK0) )
| spl11_1 ),
inference(resolution,[],[f381,f156]) ).
tff(f156,plain,
! [X2: $i,X0: $i,X1: $i] :
( in(X1,relation_dom(relation_inverse(X2)))
| ~ relation(X2)
| ~ in(ordered_pair(X0,X1),X2) ),
inference(subsumption_resolution,[],[f154,f87]) ).
tff(f154,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2)
| in(X1,relation_dom(relation_inverse(X2)))
| ~ relation(relation_inverse(X2)) ),
inference(resolution,[],[f152,f96]) ).
tff(f121,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f101,f118,f114]) ).
tff(f101,plain,
( ~ sQ10_eqProxy($i,relation_dom(sK0),relation_rng(relation_inverse(sK0)))
| ~ sQ10_eqProxy($i,relation_rng(sK0),relation_dom(relation_inverse(sK0))) ),
inference(equality_proxy_replacement,[],[f71,f100]) ).
tff(f71,plain,
( ( relation_dom(sK0) != relation_rng(relation_inverse(sK0)) )
| ( relation_rng(sK0) != relation_dom(relation_inverse(sK0)) ) ),
inference(cnf_transformation,[],[f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.15 % Problem : SEU181+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.17 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.38 % Computer : n026.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Tue Apr 30 16:27:51 EDT 2024
% 0.14/0.39 % CPUTime :
% 0.14/0.39 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.39 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.thwrgu34na/Vampire---4.8_1985
% 0.58/0.78 % (2188)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 (2996ds/51Mi)
% 0.58/0.78 % (2194)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 (2996ds/56Mi)
% 0.58/0.78 % (2187)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 (2996ds/34Mi)
% 0.58/0.78 % (2190)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.78 % (2189)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.78 % (2191)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 (2996ds/34Mi)
% 0.58/0.78 % (2192)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.78 % (2193)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 (2996ds/83Mi)
% 0.58/0.78 % (2192)Refutation not found, incomplete strategy% (2192)------------------------------
% 0.58/0.78 % (2192)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.78 % (2192)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78
% 0.58/0.78 % (2192)Memory used [KB]: 1033
% 0.58/0.78 % (2192)Time elapsed: 0.003 s
% 0.58/0.78 % (2192)Instructions burned: 3 (million)
% 0.58/0.78 % (2192)------------------------------
% 0.58/0.78 % (2192)------------------------------
% 0.58/0.78 % (2190)Refutation not found, incomplete strategy% (2190)------------------------------
% 0.58/0.78 % (2190)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.78 % (2190)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78
% 0.58/0.78 % (2190)Memory used [KB]: 1058
% 0.58/0.78 % (2190)Time elapsed: 0.004 s
% 0.58/0.78 % (2190)Instructions burned: 4 (million)
% 0.58/0.78 % (2190)------------------------------
% 0.58/0.78 % (2190)------------------------------
% 0.58/0.79 % (2198)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 (2996ds/55Mi)
% 0.58/0.79 % (2200)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 (2996ds/50Mi)
% 0.58/0.79 % (2187)First to succeed.
% 0.58/0.79 % (2187)Refutation found. Thanks to Tanya!
% 0.58/0.79 % SZS status Theorem for Vampire---4
% 0.58/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.79 % (2187)------------------------------
% 0.58/0.79 % (2187)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.79 % (2187)Termination reason: Refutation
% 0.58/0.79
% 0.58/0.79 % (2187)Memory used [KB]: 1202
% 0.58/0.79 % (2187)Time elapsed: 0.013 s
% 0.58/0.79 % (2187)Instructions burned: 19 (million)
% 0.58/0.79 % (2187)------------------------------
% 0.58/0.79 % (2187)------------------------------
% 0.58/0.79 % (2106)Success in time 0.396 s
% 0.58/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------