TSTP Solution File: SEV124^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV124^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : Tue May 21 04:12:03 EDT 2024
% Result : Theorem 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 17
% Syntax : Number of formulae : 62 ( 11 unt; 12 typ; 0 def)
% Number of atoms : 604 ( 195 equ; 0 cnn)
% Maximal formula atoms : 22 ( 12 avg)
% Number of connectives : 1049 ( 80 ~; 92 |; 78 &; 689 @)
% ( 0 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 280 ( 280 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 10 usr; 5 con; 0-5 aty)
% ( 46 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 288 ( 77 ^ 156 !; 54 ?; 288 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_11,type,
sK0: a ).
thf(func_def_12,type,
sK1: a ).
thf(func_def_13,type,
sK2: ( a > a > $o ) > $o ).
thf(func_def_14,type,
sK3: ( a > a > $o ) > $o ).
thf(func_def_15,type,
sK4: a > a > $o ).
thf(func_def_16,type,
sK5: ( a > a > $o ) > a ).
thf(func_def_17,type,
sK6: ( a > a > $o ) > a ).
thf(func_def_18,type,
sK7: ( a > a > $o ) > a > a > $o ).
thf(func_def_20,type,
sK9: ( a > a > $o ) > a > a > a > a > $o ).
thf(func_def_22,type,
ph10:
!>[X0: $tType] : X0 ).
thf(f66,plain,
$false,
inference(subsumption_resolution,[],[f65,f38]) ).
thf(f38,plain,
( ( sK4 @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) )
!= $true ),
inference(subsumption_resolution,[],[f37,f17]) ).
thf(f17,plain,
( ( sK4 @ sK0 @ sK1 )
!= $true ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( ( ( sK2 @ sK4 )
= $true )
& ! [X5: a,X6: a] :
( ( ( sK4 @ X6 @ X5 )
= $true )
| ! [X7: a > a > $o] :
( ! [X8: a > a > $o] :
( ( ( sK3 @ X8 )
!= $true )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X8 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( sK2 @ Y2 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X7 ) )
| ( ( X7 @ X6 @ X5 )
!= $true ) ) )
& ( ( sK4 @ sK0 @ sK1 )
!= $true )
& ! [X9: a > a > $o] :
( ( ( sK2 @ X9 )
!= $true )
| ( ( X9 @ sK0 @ sK1 )
= $true )
| ( ( ( X9 @ ( sK5 @ X9 ) @ ( sK6 @ X9 ) )
!= $true )
& ( ( sK3 @ ( sK7 @ X9 ) )
= $true )
& ( ( sK7 @ X9 @ ( sK5 @ X9 ) @ ( sK6 @ X9 ) )
= $true ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f8,f12,f11,f10,f9]) ).
thf(f9,plain,
( ? [X0: a,X1: a,X2: ( a > a > $o ) > $o,X3: ( a > a > $o ) > $o] :
( ? [X4: a > a > $o] :
( ( ( X2 @ X4 )
= $true )
& ! [X5: a,X6: a] :
( ( ( X4 @ X6 @ X5 )
= $true )
| ! [X7: a > a > $o] :
( ! [X8: a > a > $o] :
( ( ( X3 @ X8 )
!= $true )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X8 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( X2 @ Y2 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X7 ) )
| ( ( X7 @ X6 @ X5 )
!= $true ) ) )
& ( ( X4 @ X0 @ X1 )
!= $true ) )
& ! [X9: a > a > $o] :
( ( ( X2 @ X9 )
!= $true )
| ( ( X9 @ X0 @ X1 )
= $true )
| ? [X10: a,X11: a] :
( ( ( X9 @ X10 @ X11 )
!= $true )
& ? [X12: a > a > $o] :
( ( ( X3 @ X12 )
= $true )
& ( ( X12 @ X10 @ X11 )
= $true ) ) ) ) )
=> ( ? [X4: a > a > $o] :
( ( ( sK2 @ X4 )
= $true )
& ! [X6: a,X5: a] :
( ( ( X4 @ X6 @ X5 )
= $true )
| ! [X7: a > a > $o] :
( ! [X8: a > a > $o] :
( ( ( sK3 @ X8 )
!= $true )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X8 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( sK2 @ Y2 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X7 ) )
| ( ( X7 @ X6 @ X5 )
!= $true ) ) )
& ( ( X4 @ sK0 @ sK1 )
!= $true ) )
& ! [X9: a > a > $o] :
( ( ( sK2 @ X9 )
!= $true )
| ( ( X9 @ sK0 @ sK1 )
= $true )
| ? [X11: a,X10: a] :
( ( ( X9 @ X10 @ X11 )
!= $true )
& ? [X12: a > a > $o] :
( ( ( sK3 @ X12 )
= $true )
& ( ( X12 @ X10 @ X11 )
= $true ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
( ? [X4: a > a > $o] :
( ( ( sK2 @ X4 )
= $true )
& ! [X6: a,X5: a] :
( ( ( X4 @ X6 @ X5 )
= $true )
| ! [X7: a > a > $o] :
( ! [X8: a > a > $o] :
( ( ( sK3 @ X8 )
!= $true )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X8 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( sK2 @ Y2 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X7 ) )
| ( ( X7 @ X6 @ X5 )
!= $true ) ) )
& ( ( X4 @ sK0 @ sK1 )
!= $true ) )
=> ( ( ( sK2 @ sK4 )
= $true )
& ! [X6: a,X5: a] :
( ( ( sK4 @ X6 @ X5 )
= $true )
| ! [X7: a > a > $o] :
( ! [X8: a > a > $o] :
( ( ( sK3 @ X8 )
!= $true )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X8 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( sK2 @ Y2 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X7 ) )
| ( ( X7 @ X6 @ X5 )
!= $true ) ) )
& ( ( sK4 @ sK0 @ sK1 )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X9: a > a > $o] :
( ? [X11: a,X10: a] :
( ( ( X9 @ X10 @ X11 )
!= $true )
& ? [X12: a > a > $o] :
( ( ( sK3 @ X12 )
= $true )
& ( ( X12 @ X10 @ X11 )
= $true ) ) )
=> ( ( ( X9 @ ( sK5 @ X9 ) @ ( sK6 @ X9 ) )
!= $true )
& ? [X12: a > a > $o] :
( ( ( sK3 @ X12 )
= $true )
& ( ( X12 @ ( sK5 @ X9 ) @ ( sK6 @ X9 ) )
= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X9: a > a > $o] :
( ? [X12: a > a > $o] :
( ( ( sK3 @ X12 )
= $true )
& ( ( X12 @ ( sK5 @ X9 ) @ ( sK6 @ X9 ) )
= $true ) )
=> ( ( ( sK3 @ ( sK7 @ X9 ) )
= $true )
& ( ( sK7 @ X9 @ ( sK5 @ X9 ) @ ( sK6 @ X9 ) )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a,X1: a,X2: ( a > a > $o ) > $o,X3: ( a > a > $o ) > $o] :
( ? [X4: a > a > $o] :
( ( ( X2 @ X4 )
= $true )
& ! [X5: a,X6: a] :
( ( ( X4 @ X6 @ X5 )
= $true )
| ! [X7: a > a > $o] :
( ! [X8: a > a > $o] :
( ( ( X3 @ X8 )
!= $true )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X8 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( X2 @ Y2 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X7 ) )
| ( ( X7 @ X6 @ X5 )
!= $true ) ) )
& ( ( X4 @ X0 @ X1 )
!= $true ) )
& ! [X9: a > a > $o] :
( ( ( X2 @ X9 )
!= $true )
| ( ( X9 @ X0 @ X1 )
= $true )
| ? [X10: a,X11: a] :
( ( ( X9 @ X10 @ X11 )
!= $true )
& ? [X12: a > a > $o] :
( ( ( X3 @ X12 )
= $true )
& ( ( X12 @ X10 @ X11 )
= $true ) ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X0: a,X1: a,X2: ( a > a > $o ) > $o,X3: ( a > a > $o ) > $o] :
( ? [X8: a > a > $o] :
( ( ( X2 @ X8 )
= $true )
& ! [X9: a,X10: a] :
( ( ( X8 @ X10 @ X9 )
= $true )
| ! [X11: a > a > $o] :
( ! [X12: a > a > $o] :
( ( ( X3 @ X12 )
!= $true )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X12 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( X2 @ Y2 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X11 ) )
| ( ( X11 @ X10 @ X9 )
!= $true ) ) )
& ( ( X8 @ X0 @ X1 )
!= $true ) )
& ! [X4: a > a > $o] :
( ( ( X2 @ X4 )
!= $true )
| ( ( X4 @ X0 @ X1 )
= $true )
| ? [X5: a,X6: a] :
( ( ( X4 @ X5 @ X6 )
!= $true )
& ? [X7: a > a > $o] :
( ( ( X3 @ X7 )
= $true )
& ( ( X7 @ X5 @ X6 )
= $true ) ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X0: a,X1: a,X2: ( a > a > $o ) > $o,X3: ( a > a > $o ) > $o] :
( ? [X8: a > a > $o] :
( ( ( X8 @ X0 @ X1 )
!= $true )
& ! [X9: a,X10: a] :
( ( ( X8 @ X10 @ X9 )
= $true )
| ! [X11: a > a > $o] :
( ! [X12: a > a > $o] :
( ( ( X3 @ X12 )
!= $true )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X12 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( X2 @ Y2 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X11 ) )
| ( ( X11 @ X10 @ X9 )
!= $true ) ) )
& ( ( X2 @ X8 )
= $true ) )
& ! [X4: a > a > $o] :
( ( ( X4 @ X0 @ X1 )
= $true )
| ? [X5: a,X6: a] :
( ( ( X4 @ X5 @ X6 )
!= $true )
& ? [X7: a > a > $o] :
( ( ( X3 @ X7 )
= $true )
& ( ( X7 @ X5 @ X6 )
= $true ) ) )
| ( ( X2 @ X4 )
!= $true ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a,X1: a,X2: ( a > a > $o ) > $o,X3: ( a > a > $o ) > $o] :
( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ( ( X3 @ X7 )
= $true )
& ( ( X7 @ X5 @ X6 )
= $true ) )
=> ( ( X4 @ X5 @ X6 )
= $true ) )
& ( ( X2 @ X4 )
= $true ) )
=> ( ( X4 @ X0 @ X1 )
= $true ) )
=> ! [X8: a > a > $o] :
( ( ! [X9: a,X10: a] :
( ? [X11: a > a > $o] :
( ? [X12: a > a > $o] :
( ( ( X3 @ X12 )
= $true )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X12 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( X2 @ Y2 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= X11 ) )
& ( ( X11 @ X10 @ X9 )
= $true ) )
=> ( ( X8 @ X10 @ X9 )
= $true ) )
& ( ( X2 @ X8 )
= $true ) )
=> ( ( X8 @ X0 @ X1 )
= $true ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a,X1: a,X2: ( a > a > $o ) > $o,X3: ( a > a > $o ) > $o] :
( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ( X7 @ X5 @ X6 )
& ( X3 @ X7 ) )
=> ( X4 @ X5 @ X6 ) )
& ( X2 @ X4 ) )
=> ( X4 @ X0 @ X1 ) )
=> ! [X8: a > a > $o] :
( ( ( X2 @ X8 )
& ! [X9: a,X10: a] :
( ? [X11: a > a > $o] :
( ? [X12: a > a > $o] :
( ( ( ^ [X13: a,X14: a] :
! [X15: a > a > $o] :
( ( ( X2 @ X15 )
& ! [X16: a,X17: a] :
( ( X12 @ X16 @ X17 )
=> ( X15 @ X16 @ X17 ) ) )
=> ( X15 @ X13 @ X14 ) ) )
= X11 )
& ( X3 @ X12 ) )
& ( X11 @ X10 @ X9 ) )
=> ( X8 @ X10 @ X9 ) ) )
=> ( X8 @ X0 @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X2: a,X3: a,X0: ( a > a > $o ) > $o,X1: ( a > a > $o ) > $o] :
( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ( X7 @ X5 @ X6 )
& ( X1 @ X7 ) )
=> ( X4 @ X5 @ X6 ) )
& ( X0 @ X4 ) )
=> ( X4 @ X2 @ X3 ) )
=> ! [X4: a > a > $o] :
( ( ( X0 @ X4 )
& ! [X6: a,X5: a] :
( ? [X7: a > a > $o] :
( ? [X8: a > a > $o] :
( ( ( ^ [X9: a,X10: a] :
! [X11: a > a > $o] :
( ( ( X0 @ X11 )
& ! [X12: a,X13: a] :
( ( X8 @ X12 @ X13 )
=> ( X11 @ X12 @ X13 ) ) )
=> ( X11 @ X9 @ X10 ) ) )
= X7 )
& ( X1 @ X8 ) )
& ( X7 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X2 @ X3 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X2: a,X3: a,X0: ( a > a > $o ) > $o,X1: ( a > a > $o ) > $o] :
( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ? [X7: a > a > $o] :
( ( X7 @ X5 @ X6 )
& ( X1 @ X7 ) )
=> ( X4 @ X5 @ X6 ) )
& ( X0 @ X4 ) )
=> ( X4 @ X2 @ X3 ) )
=> ! [X4: a > a > $o] :
( ( ( X0 @ X4 )
& ! [X6: a,X5: a] :
( ? [X7: a > a > $o] :
( ? [X8: a > a > $o] :
( ( ( ^ [X9: a,X10: a] :
! [X11: a > a > $o] :
( ( ( X0 @ X11 )
& ! [X12: a,X13: a] :
( ( X8 @ X12 @ X13 )
=> ( X11 @ X12 @ X13 ) ) )
=> ( X11 @ X9 @ X10 ) ) )
= X7 )
& ( X1 @ X8 ) )
& ( X7 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X6 ) ) )
=> ( X4 @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM254_A_pme) ).
thf(f37,plain,
( ( ( sK4 @ sK0 @ sK1 )
= $true )
| ( ( sK4 @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f36]) ).
thf(f36,plain,
( ( ( sK4 @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) )
!= $true )
| ( ( sK4 @ sK0 @ sK1 )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f16,f19]) ).
thf(f19,plain,
( ( sK2 @ sK4 )
= $true ),
inference(cnf_transformation,[],[f13]) ).
thf(f16,plain,
! [X9: a > a > $o] :
( ( ( sK2 @ X9 )
!= $true )
| ( ( X9 @ ( sK5 @ X9 ) @ ( sK6 @ X9 ) )
!= $true )
| ( ( X9 @ sK0 @ sK1 )
= $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f65,plain,
( ( sK4 @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) )
= $true ),
inference(trivial_inequality_removal,[],[f62]) ).
thf(f62,plain,
( ( ( sK4 @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) )
= $true )
| ( $false = $true ) ),
inference(superposition,[],[f61,f54]) ).
thf(f54,plain,
( ( sK9 @ ( sK7 @ sK4 ) @ ( sK6 @ sK4 ) @ ( sK5 @ sK4 ) @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) )
= $false ),
inference(trivial_inequality_removal,[],[f53]) ).
thf(f53,plain,
( ( ( sK9 @ ( sK7 @ sK4 ) @ ( sK6 @ sK4 ) @ ( sK5 @ sK4 ) @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) )
= $false )
| ( $true != $true ) ),
inference(superposition,[],[f38,f51]) ).
thf(f51,plain,
! [X0: a,X1: a] :
( ( ( sK4 @ X1 @ X0 )
= $true )
| ( ( sK9 @ ( sK7 @ sK4 ) @ X0 @ X1 @ X1 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f50]) ).
thf(f50,plain,
! [X0: a,X1: a] :
( ( $true != $true )
| ( ( sK4 @ X1 @ X0 )
= $true )
| ( ( sK9 @ ( sK7 @ sK4 ) @ X0 @ X1 @ X1 @ X0 )
= $false ) ),
inference(superposition,[],[f24,f35]) ).
thf(f35,plain,
( ( sK3 @ ( sK7 @ sK4 ) )
= $true ),
inference(subsumption_resolution,[],[f34,f17]) ).
thf(f34,plain,
( ( ( sK4 @ sK0 @ sK1 )
= $true )
| ( ( sK3 @ ( sK7 @ sK4 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f33]) ).
thf(f33,plain,
( ( $true != $true )
| ( ( sK3 @ ( sK7 @ sK4 ) )
= $true )
| ( ( sK4 @ sK0 @ sK1 )
= $true ) ),
inference(superposition,[],[f15,f19]) ).
thf(f15,plain,
! [X9: a > a > $o] :
( ( ( sK2 @ X9 )
!= $true )
| ( ( sK3 @ ( sK7 @ X9 ) )
= $true )
| ( ( X9 @ sK0 @ sK1 )
= $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f24,plain,
! [X8: a > a > $o,X6: a,X5: a] :
( ( ( sK3 @ X8 )
!= $true )
| ( ( sK9 @ X8 @ X5 @ X6 @ X6 @ X5 )
= $false )
| ( ( sK4 @ X6 @ X5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f23]) ).
thf(f23,plain,
! [X8: a > a > $o,X6: a,X5: a] :
( ( ( sK4 @ X6 @ X5 )
= $true )
| ( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( X8 @ Y1 @ Y0 )
=> ( sK9 @ X8 @ X5 @ X6 @ Y1 @ Y0 ) ) ) )
& ( sK2 @ ( sK9 @ X8 @ X5 @ X6 ) ) )
=> ( sK9 @ X8 @ X5 @ X6 @ X6 @ X5 ) )
= $false )
| ( ( sK3 @ X8 )
!= $true ) ),
inference(beta_eta_normalization,[],[f22]) ).
thf(f22,plain,
! [X8: a > a > $o,X6: a,X5: a] :
( ( ( sK3 @ X8 )
!= $true )
| ( ( sK4 @ X6 @ X5 )
= $true )
| ( ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( X8 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( sK2 @ Y0 ) )
=> ( Y0 @ X6 @ X5 ) )
@ ( sK9 @ X8 @ X5 @ X6 ) )
= $false ) ),
inference(sigma_clausification,[],[f21]) ).
thf(f21,plain,
! [X8: a > a > $o,X6: a,X5: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( X8 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( sK2 @ Y0 ) )
=> ( Y0 @ X6 @ X5 ) ) )
!= $true )
| ( ( sK3 @ X8 )
!= $true )
| ( ( sK4 @ X6 @ X5 )
= $true ) ),
inference(beta_eta_normalization,[],[f20]) ).
thf(f20,plain,
! [X8: a > a > $o,X6: a,X5: a] :
( ( ( sK4 @ X6 @ X5 )
= $true )
| ( ( sK3 @ X8 )
!= $true )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X8 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( sK2 @ Y2 ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ X6
@ X5 )
!= $true ) ),
inference(equality_resolution,[],[f18]) ).
thf(f18,plain,
! [X8: a > a > $o,X6: a,X7: a > a > $o,X5: a] :
( ( ( sK4 @ X6 @ X5 )
= $true )
| ( ( sK3 @ X8 )
!= $true )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X8 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( sK2 @ Y2 ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X7 )
| ( ( X7 @ X6 @ X5 )
!= $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f61,plain,
! [X0: a,X1: a] :
( ( ( sK9 @ ( sK7 @ sK4 ) @ X0 @ X1 @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) )
= $true )
| ( ( sK4 @ X1 @ X0 )
= $true ) ),
inference(trivial_inequality_removal,[],[f58]) ).
thf(f58,plain,
! [X0: a,X1: a] :
( ( $false = $true )
| ( ( sK9 @ ( sK7 @ sK4 ) @ X0 @ X1 @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) )
= $true )
| ( ( sK4 @ X1 @ X0 )
= $true ) ),
inference(superposition,[],[f57,f41]) ).
thf(f41,plain,
( ( sK7 @ sK4 @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) )
= $true ),
inference(subsumption_resolution,[],[f40,f17]) ).
thf(f40,plain,
( ( ( sK7 @ sK4 @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) )
= $true )
| ( ( sK4 @ sK0 @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f39,plain,
( ( ( sK4 @ sK0 @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK7 @ sK4 @ ( sK5 @ sK4 ) @ ( sK6 @ sK4 ) )
= $true ) ),
inference(superposition,[],[f14,f19]) ).
thf(f14,plain,
! [X9: a > a > $o] :
( ( ( sK2 @ X9 )
!= $true )
| ( ( X9 @ sK0 @ sK1 )
= $true )
| ( ( sK7 @ X9 @ ( sK5 @ X9 ) @ ( sK6 @ X9 ) )
= $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f57,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( sK7 @ sK4 @ X0 @ X1 )
= $false )
| ( ( sK9 @ ( sK7 @ sK4 ) @ X3 @ X2 @ X0 @ X1 )
= $true )
| ( ( sK4 @ X2 @ X3 )
= $true ) ),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f56,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( sK9 @ ( sK7 @ sK4 ) @ X3 @ X2 @ X0 @ X1 )
= $true )
| ( ( sK7 @ sK4 @ X0 @ X1 )
= $false )
| ( $true != $true )
| ( ( sK4 @ X2 @ X3 )
= $true ) ),
inference(superposition,[],[f32,f35]) ).
thf(f32,plain,
! [X10: a,X8: a > a > $o,X6: a,X9: a,X5: a] :
( ( ( sK3 @ X8 )
!= $true )
| ( ( X8 @ X10 @ X9 )
= $false )
| ( ( sK4 @ X6 @ X5 )
= $true )
| ( ( sK9 @ X8 @ X5 @ X6 @ X10 @ X9 )
= $true ) ),
inference(binary_proxy_clausification,[],[f31]) ).
thf(f31,plain,
! [X10: a,X8: a > a > $o,X6: a,X9: a,X5: a] :
( ( ( sK3 @ X8 )
!= $true )
| ( ( sK4 @ X6 @ X5 )
= $true )
| ( ( ( X8 @ X10 @ X9 )
=> ( sK9 @ X8 @ X5 @ X6 @ X10 @ X9 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f30]) ).
thf(f30,plain,
! [X10: a,X8: a > a > $o,X6: a,X9: a,X5: a] :
( ( ( sK4 @ X6 @ X5 )
= $true )
| ( ( sK3 @ X8 )
!= $true )
| ( ( ^ [Y0: a] :
( ( X8 @ Y0 @ X9 )
=> ( sK9 @ X8 @ X5 @ X6 @ Y0 @ X9 ) )
@ X10 )
= $true ) ),
inference(pi_clausification,[],[f29]) ).
thf(f29,plain,
! [X8: a > a > $o,X6: a,X9: a,X5: a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X8 @ Y0 @ X9 )
=> ( sK9 @ X8 @ X5 @ X6 @ Y0 @ X9 ) ) )
= $true )
| ( ( sK3 @ X8 )
!= $true )
| ( ( sK4 @ X6 @ X5 )
= $true ) ),
inference(beta_eta_normalization,[],[f28]) ).
thf(f28,plain,
! [X8: a > a > $o,X6: a,X9: a,X5: a] :
( ( ( sK3 @ X8 )
!= $true )
| ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( X8 @ Y1 @ Y0 )
=> ( sK9 @ X8 @ X5 @ X6 @ Y1 @ Y0 ) ) )
@ X9 )
= $true )
| ( ( sK4 @ X6 @ X5 )
= $true ) ),
inference(pi_clausification,[],[f27]) ).
thf(f27,plain,
! [X8: a > a > $o,X6: a,X5: a] :
( ( ( sK3 @ X8 )
!= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( X8 @ Y1 @ Y0 )
=> ( sK9 @ X8 @ X5 @ X6 @ Y1 @ Y0 ) ) ) )
= $true )
| ( ( sK4 @ X6 @ X5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f25]) ).
thf(f25,plain,
! [X8: a > a > $o,X6: a,X5: a] :
( ( ( sK3 @ X8 )
!= $true )
| ( ( sK4 @ X6 @ X5 )
= $true )
| ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( X8 @ Y1 @ Y0 )
=> ( sK9 @ X8 @ X5 @ X6 @ Y1 @ Y0 ) ) ) )
& ( sK2 @ ( sK9 @ X8 @ X5 @ X6 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEV124^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.14 % 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
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 19:17:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.38 % (17654)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.38 % (17656)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.38 % (17652)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38 % (17653)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38 % (17655)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.38 % (17651)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.22/0.38 % (17656)Instruction limit reached!
% 0.22/0.38 % (17656)------------------------------
% 0.22/0.38 % (17656)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (17656)Termination reason: Unknown
% 0.22/0.38 % (17656)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (17656)Memory used [KB]: 1023
% 0.22/0.38 % (17656)Time elapsed: 0.004 s
% 0.22/0.38 % (17656)Instructions burned: 3 (million)
% 0.22/0.38 % (17656)------------------------------
% 0.22/0.38 % (17656)------------------------------
% 0.22/0.38 % (17652)Instruction limit reached!
% 0.22/0.38 % (17652)------------------------------
% 0.22/0.38 % (17652)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (17652)Termination reason: Unknown
% 0.22/0.39 % (17652)Termination phase: Property scanning
% 0.22/0.39
% 0.22/0.39 % (17653)Instruction limit reached!
% 0.22/0.39 % (17653)------------------------------
% 0.22/0.39 % (17653)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (17653)Termination reason: Unknown
% 0.22/0.39 % (17653)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (17653)Memory used [KB]: 1023
% 0.22/0.39 % (17653)Time elapsed: 0.003 s
% 0.22/0.39 % (17653)Instructions burned: 3 (million)
% 0.22/0.39 % (17653)------------------------------
% 0.22/0.39 % (17653)------------------------------
% 0.22/0.39 % (17652)Memory used [KB]: 1023
% 0.22/0.39 % (17652)Time elapsed: 0.003 s
% 0.22/0.39 % (17652)Instructions burned: 3 (million)
% 0.22/0.39 % (17652)------------------------------
% 0.22/0.39 % (17652)------------------------------
% 0.22/0.39 % (17650)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.39 % (17650)Instruction limit reached!
% 0.22/0.39 % (17650)------------------------------
% 0.22/0.39 % (17650)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (17650)Termination reason: Unknown
% 0.22/0.39 % (17650)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (17650)Memory used [KB]: 5500
% 0.22/0.39 % (17650)Time elapsed: 0.006 s
% 0.22/0.39 % (17650)Instructions burned: 4 (million)
% 0.22/0.39 % (17650)------------------------------
% 0.22/0.39 % (17650)------------------------------
% 0.22/0.39 % (17655)First to succeed.
% 0.22/0.39 % (17649)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.39 % (17651)Also succeeded, but the first one will report.
% 0.22/0.40 % (17655)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Theorem for theBenchmark
% 0.22/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40 % (17655)------------------------------
% 0.22/0.40 % (17655)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (17655)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (17655)Memory used [KB]: 5628
% 0.22/0.40 % (17655)Time elapsed: 0.012 s
% 0.22/0.40 % (17655)Instructions burned: 12 (million)
% 0.22/0.40 % (17655)------------------------------
% 0.22/0.40 % (17655)------------------------------
% 0.22/0.40 % (17648)Success in time 0.024 s
% 0.22/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------