TSTP Solution File: SEV191^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV191^5 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.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 04:12:19 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 29
% Syntax : Number of formulae : 102 ( 1 unt; 16 typ; 0 def)
% Number of atoms : 651 ( 382 equ; 0 cnn)
% Maximal formula atoms : 40 ( 7 avg)
% Number of connectives : 1171 ( 156 ~; 233 |; 173 &; 574 @)
% ( 9 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 76 ( 76 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 23 usr; 21 con; 0-3 aty)
% Number of variables : 278 ( 0 ^ 131 !; 146 ?; 278 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cP: a > a > a ).
thf(func_def_2,type,
c0: a ).
thf(func_def_4,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_7,type,
sK0: a > a > a > $o ).
thf(func_def_8,type,
sK1: a > a > a > $o ).
thf(func_def_9,type,
sK2: a ).
thf(func_def_10,type,
sK3: a ).
thf(func_def_11,type,
sK4: a ).
thf(func_def_12,type,
sK5: a ).
thf(func_def_13,type,
sK6: a ).
thf(func_def_14,type,
sK7: a ).
thf(func_def_15,type,
sK8: a ).
thf(func_def_16,type,
sK9: a ).
thf(func_def_17,type,
sK10: a ).
thf(f182,plain,
$false,
inference(avatar_sat_refutation,[],[f51,f60,f69,f70,f71,f72,f77,f78,f79,f80,f81,f82,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f181]) ).
thf(f181,plain,
( ~ spl11_9
| ~ spl11_2
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f180,f74,f66,f53,f44,f84]) ).
thf(f84,plain,
( spl11_9
<=> ( sK2
= ( cP @ sK10 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
thf(f44,plain,
( spl11_2
<=> ( sK3
= ( cP @ sK8 @ sK6 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
thf(f53,plain,
( spl11_4
<=> ( ( cP @ sK9 @ sK7 )
= sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
thf(f66,plain,
( spl11_7
<=> ( $true
= ( sK1 @ sK10 @ sK9 @ sK8 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
thf(f74,plain,
( spl11_8
<=> ( ( sK1 @ sK5 @ sK7 @ sK6 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
thf(f180,plain,
( ( sK2
!= ( cP @ sK10 @ sK5 ) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8 ),
inference(trivial_inequality_removal,[],[f179]) ).
thf(f179,plain,
( ( sK4 != sK4 )
| ( sK2
!= ( cP @ sK10 @ sK5 ) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_demodulation,[],[f178,f55]) ).
thf(f55,plain,
( ( ( cP @ sK9 @ sK7 )
= sK4 )
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f53]) ).
thf(f178,plain,
( ( ( cP @ sK9 @ sK7 )
!= sK4 )
| ( sK2
!= ( cP @ sK10 @ sK5 ) )
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8 ),
inference(trivial_inequality_removal,[],[f177]) ).
thf(f177,plain,
( ( sK3 != sK3 )
| ( ( cP @ sK9 @ sK7 )
!= sK4 )
| ( sK2
!= ( cP @ sK10 @ sK5 ) )
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_demodulation,[],[f170,f46]) ).
thf(f46,plain,
( ( sK3
= ( cP @ sK8 @ sK6 ) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f44]) ).
thf(f170,plain,
( ( sK2
!= ( cP @ sK10 @ sK5 ) )
| ( sK3
!= ( cP @ sK8 @ sK6 ) )
| ( ( cP @ sK9 @ sK7 )
!= sK4 )
| ~ spl11_7
| ~ spl11_8 ),
inference(trivial_inequality_removal,[],[f168]) ).
thf(f168,plain,
( ( sK3
!= ( cP @ sK8 @ sK6 ) )
| ( $true != $true )
| ( sK2
!= ( cP @ sK10 @ sK5 ) )
| ( ( cP @ sK9 @ sK7 )
!= sK4 )
| ~ spl11_7
| ~ spl11_8 ),
inference(superposition,[],[f163,f101]) ).
thf(f101,plain,
( ( $true
= ( sK0 @ sK5 @ sK7 @ sK6 ) )
| ~ spl11_8 ),
inference(trivial_inequality_removal,[],[f100]) ).
thf(f100,plain,
( ( $true != $true )
| ( $true
= ( sK0 @ sK5 @ sK7 @ sK6 ) )
| ~ spl11_8 ),
inference(superposition,[],[f15,f76]) ).
thf(f76,plain,
( ( ( sK1 @ sK5 @ sK7 @ sK6 )
= $true )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f74]) ).
thf(f15,plain,
! [X18: a,X19: a,X17: a] :
( ( $true
!= ( sK1 @ X17 @ X18 @ X19 ) )
| ( $true
= ( sK0 @ X17 @ X18 @ X19 ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
( ( ( sK3 != sK4 )
| ( c0 != sK2 ) )
& ! [X5: a,X6: a,X7: a,X8: a,X9: a,X10: a] :
( ( sK2
!= ( cP @ X10 @ X8 ) )
| ( ( cP @ X9 @ X6 )
!= sK3 )
| ( $true
!= ( sK0 @ X10 @ X5 @ X9 ) )
| ( ( cP @ X5 @ X7 )
!= sK4 )
| ( $true
!= ( sK0 @ X8 @ X7 @ X6 ) ) )
& ( ( ( ( sK1 @ sK5 @ sK7 @ sK6 )
= $true )
& ( sK3
= ( cP @ sK8 @ sK6 ) )
& ( ( cP @ sK9 @ sK7 )
= sK4 )
& ( sK2
= ( cP @ sK10 @ sK5 ) )
& ( $true
= ( sK1 @ sK10 @ sK9 @ sK8 ) ) )
| ( ( c0 = sK2 )
& ( sK3 = sK4 ) )
| ( ( c0 = sK4 )
& ( sK2 = sK3 ) ) )
& ( ( sK2 != sK3 )
| ( c0 != sK4 ) )
& ! [X17: a,X18: a,X19: a] :
( ( $true
= ( sK0 @ X17 @ X18 @ X19 ) )
| ( $true
!= ( sK1 @ X17 @ X18 @ X19 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f10,f13,f12,f11]) ).
thf(f11,plain,
( ? [X0: a > a > a > $o,X1: a > a > a > $o] :
( ? [X2: a,X3: a,X4: a] :
( ( ( X3 != X4 )
| ( c0 != X2 ) )
& ! [X5: a,X6: a,X7: a,X8: a,X9: a,X10: a] :
( ( ( cP @ X10 @ X8 )
!= X2 )
| ( ( cP @ X9 @ X6 )
!= X3 )
| ( $true
!= ( X0 @ X10 @ X5 @ X9 ) )
| ( ( cP @ X5 @ X7 )
!= X4 )
| ( $true
!= ( X0 @ X8 @ X7 @ X6 ) ) )
& ( ? [X11: a,X12: a,X13: a,X14: a,X15: a,X16: a] :
( ( $true
= ( X1 @ X11 @ X13 @ X12 ) )
& ( ( cP @ X14 @ X12 )
= X3 )
& ( ( cP @ X15 @ X13 )
= X4 )
& ( ( cP @ X16 @ X11 )
= X2 )
& ( $true
= ( X1 @ X16 @ X15 @ X14 ) ) )
| ( ( c0 = X2 )
& ( X3 = X4 ) )
| ( ( c0 = X4 )
& ( X2 = X3 ) ) )
& ( ( X2 != X3 )
| ( c0 != X4 ) ) )
& ! [X17: a,X18: a,X19: a] :
( ( ( X0 @ X17 @ X18 @ X19 )
= $true )
| ( $true
!= ( X1 @ X17 @ X18 @ X19 ) ) ) )
=> ( ? [X4: a,X3: a,X2: a] :
( ( ( X3 != X4 )
| ( c0 != X2 ) )
& ! [X10: a,X9: a,X8: a,X7: a,X6: a,X5: a] :
( ( ( cP @ X10 @ X8 )
!= X2 )
| ( ( cP @ X9 @ X6 )
!= X3 )
| ( $true
!= ( sK0 @ X10 @ X5 @ X9 ) )
| ( ( cP @ X5 @ X7 )
!= X4 )
| ( $true
!= ( sK0 @ X8 @ X7 @ X6 ) ) )
& ( ? [X16: a,X15: a,X14: a,X13: a,X12: a,X11: a] :
( ( $true
= ( sK1 @ X11 @ X13 @ X12 ) )
& ( ( cP @ X14 @ X12 )
= X3 )
& ( ( cP @ X15 @ X13 )
= X4 )
& ( ( cP @ X16 @ X11 )
= X2 )
& ( $true
= ( sK1 @ X16 @ X15 @ X14 ) ) )
| ( ( c0 = X2 )
& ( X3 = X4 ) )
| ( ( c0 = X4 )
& ( X2 = X3 ) ) )
& ( ( X2 != X3 )
| ( c0 != X4 ) ) )
& ! [X19: a,X18: a,X17: a] :
( ( $true
= ( sK0 @ X17 @ X18 @ X19 ) )
| ( $true
!= ( sK1 @ X17 @ X18 @ X19 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
( ? [X4: a,X3: a,X2: a] :
( ( ( X3 != X4 )
| ( c0 != X2 ) )
& ! [X10: a,X9: a,X8: a,X7: a,X6: a,X5: a] :
( ( ( cP @ X10 @ X8 )
!= X2 )
| ( ( cP @ X9 @ X6 )
!= X3 )
| ( $true
!= ( sK0 @ X10 @ X5 @ X9 ) )
| ( ( cP @ X5 @ X7 )
!= X4 )
| ( $true
!= ( sK0 @ X8 @ X7 @ X6 ) ) )
& ( ? [X16: a,X15: a,X14: a,X13: a,X12: a,X11: a] :
( ( $true
= ( sK1 @ X11 @ X13 @ X12 ) )
& ( ( cP @ X14 @ X12 )
= X3 )
& ( ( cP @ X15 @ X13 )
= X4 )
& ( ( cP @ X16 @ X11 )
= X2 )
& ( $true
= ( sK1 @ X16 @ X15 @ X14 ) ) )
| ( ( c0 = X2 )
& ( X3 = X4 ) )
| ( ( c0 = X4 )
& ( X2 = X3 ) ) )
& ( ( X2 != X3 )
| ( c0 != X4 ) ) )
=> ( ( ( sK3 != sK4 )
| ( c0 != sK2 ) )
& ! [X10: a,X9: a,X8: a,X7: a,X6: a,X5: a] :
( ( sK2
!= ( cP @ X10 @ X8 ) )
| ( ( cP @ X9 @ X6 )
!= sK3 )
| ( $true
!= ( sK0 @ X10 @ X5 @ X9 ) )
| ( ( cP @ X5 @ X7 )
!= sK4 )
| ( $true
!= ( sK0 @ X8 @ X7 @ X6 ) ) )
& ( ? [X16: a,X15: a,X14: a,X13: a,X12: a,X11: a] :
( ( $true
= ( sK1 @ X11 @ X13 @ X12 ) )
& ( ( cP @ X14 @ X12 )
= sK3 )
& ( ( cP @ X15 @ X13 )
= sK4 )
& ( ( cP @ X16 @ X11 )
= sK2 )
& ( $true
= ( sK1 @ X16 @ X15 @ X14 ) ) )
| ( ( c0 = sK2 )
& ( sK3 = sK4 ) )
| ( ( c0 = sK4 )
& ( sK2 = sK3 ) ) )
& ( ( sK2 != sK3 )
| ( c0 != sK4 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
( ? [X16: a,X15: a,X14: a,X13: a,X12: a,X11: a] :
( ( $true
= ( sK1 @ X11 @ X13 @ X12 ) )
& ( ( cP @ X14 @ X12 )
= sK3 )
& ( ( cP @ X15 @ X13 )
= sK4 )
& ( ( cP @ X16 @ X11 )
= sK2 )
& ( $true
= ( sK1 @ X16 @ X15 @ X14 ) ) )
=> ( ( ( sK1 @ sK5 @ sK7 @ sK6 )
= $true )
& ( sK3
= ( cP @ sK8 @ sK6 ) )
& ( ( cP @ sK9 @ sK7 )
= sK4 )
& ( sK2
= ( cP @ sK10 @ sK5 ) )
& ( $true
= ( sK1 @ sK10 @ sK9 @ sK8 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
? [X0: a > a > a > $o,X1: a > a > a > $o] :
( ? [X2: a,X3: a,X4: a] :
( ( ( X3 != X4 )
| ( c0 != X2 ) )
& ! [X5: a,X6: a,X7: a,X8: a,X9: a,X10: a] :
( ( ( cP @ X10 @ X8 )
!= X2 )
| ( ( cP @ X9 @ X6 )
!= X3 )
| ( $true
!= ( X0 @ X10 @ X5 @ X9 ) )
| ( ( cP @ X5 @ X7 )
!= X4 )
| ( $true
!= ( X0 @ X8 @ X7 @ X6 ) ) )
& ( ? [X11: a,X12: a,X13: a,X14: a,X15: a,X16: a] :
( ( $true
= ( X1 @ X11 @ X13 @ X12 ) )
& ( ( cP @ X14 @ X12 )
= X3 )
& ( ( cP @ X15 @ X13 )
= X4 )
& ( ( cP @ X16 @ X11 )
= X2 )
& ( $true
= ( X1 @ X16 @ X15 @ X14 ) ) )
| ( ( c0 = X2 )
& ( X3 = X4 ) )
| ( ( c0 = X4 )
& ( X2 = X3 ) ) )
& ( ( X2 != X3 )
| ( c0 != X4 ) ) )
& ! [X17: a,X18: a,X19: a] :
( ( ( X0 @ X17 @ X18 @ X19 )
= $true )
| ( $true
!= ( X1 @ X17 @ X18 @ X19 ) ) ) ),
inference(rectify,[],[f9]) ).
thf(f9,plain,
? [X0: a > a > a > $o,X1: a > a > a > $o] :
( ? [X5: a,X7: a,X6: a] :
( ( ( X6 != X7 )
| ( c0 != X5 ) )
& ! [X14: a,X17: a,X19: a,X16: a,X18: a,X15: a] :
( ( ( cP @ X15 @ X16 )
!= X5 )
| ( ( cP @ X18 @ X17 )
!= X7 )
| ( $true
!= ( X0 @ X15 @ X14 @ X18 ) )
| ( ( cP @ X14 @ X19 )
!= X6 )
| ( $true
!= ( X0 @ X16 @ X19 @ X17 ) ) )
& ( ? [X12: a,X11: a,X13: a,X9: a,X8: a,X10: a] :
( ( $true
= ( X1 @ X12 @ X13 @ X11 ) )
& ( ( cP @ X9 @ X11 )
= X7 )
& ( ( cP @ X8 @ X13 )
= X6 )
& ( ( cP @ X10 @ X12 )
= X5 )
& ( $true
= ( X1 @ X10 @ X8 @ X9 ) ) )
| ( ( c0 = X5 )
& ( X6 = X7 ) )
| ( ( c0 = X6 )
& ( X5 = X7 ) ) )
& ( ( X5 != X7 )
| ( c0 != X6 ) ) )
& ! [X4: a,X3: a,X2: a] :
( ( $true
= ( X0 @ X4 @ X3 @ X2 ) )
| ( ( X1 @ X4 @ X3 @ X2 )
!= $true ) ) ),
inference(flattening,[],[f8]) ).
thf(f8,plain,
? [X1: a > a > a > $o,X0: a > a > a > $o] :
( ? [X7: a,X5: a,X6: a] :
( ( ( X6 != X7 )
| ( c0 != X5 ) )
& ! [X14: a,X17: a,X19: a,X16: a,X18: a,X15: a] :
( ( ( cP @ X15 @ X16 )
!= X5 )
| ( ( cP @ X18 @ X17 )
!= X7 )
| ( $true
!= ( X0 @ X15 @ X14 @ X18 ) )
| ( ( cP @ X14 @ X19 )
!= X6 )
| ( $true
!= ( X0 @ X16 @ X19 @ X17 ) ) )
& ( ( X5 != X7 )
| ( c0 != X6 ) )
& ( ? [X12: a,X11: a,X13: a,X9: a,X8: a,X10: a] :
( ( $true
= ( X1 @ X12 @ X13 @ X11 ) )
& ( ( cP @ X9 @ X11 )
= X7 )
& ( ( cP @ X8 @ X13 )
= X6 )
& ( ( cP @ X10 @ X12 )
= X5 )
& ( $true
= ( X1 @ X10 @ X8 @ X9 ) ) )
| ( ( c0 = X5 )
& ( X6 = X7 ) )
| ( ( c0 = X6 )
& ( X5 = X7 ) ) ) )
& ! [X4: a,X3: a,X2: a] :
( ( $true
= ( X0 @ X4 @ X3 @ X2 ) )
| ( ( X1 @ X4 @ X3 @ X2 )
!= $true ) ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f7,plain,
~ ! [X1: a > a > a > $o,X0: a > a > a > $o] :
( ! [X4: a,X2: a,X3: a] :
( ( ( X1 @ X4 @ X3 @ X2 )
= $true )
=> ( $true
= ( X0 @ X4 @ X3 @ X2 ) ) )
=> ! [X7: a,X5: a,X6: a] :
( ( ? [X12: a,X11: a,X13: a,X9: a,X8: a,X10: a] :
( ( $true
= ( X1 @ X12 @ X13 @ X11 ) )
& ( ( cP @ X9 @ X11 )
= X7 )
& ( ( cP @ X8 @ X13 )
= X6 )
& ( ( cP @ X10 @ X12 )
= X5 )
& ( $true
= ( X1 @ X10 @ X8 @ X9 ) ) )
| ( ( c0 = X5 )
& ( X6 = X7 ) )
| ( ( c0 = X6 )
& ( X5 = X7 ) ) )
=> ( ( ( X6 = X7 )
& ( c0 = X5 ) )
| ? [X19: a,X18: a,X17: a,X15: a,X16: a,X14: a] :
( ( $true
= ( X0 @ X15 @ X14 @ X18 ) )
& ( ( cP @ X15 @ X16 )
= X5 )
& ( ( cP @ X18 @ X17 )
= X7 )
& ( ( cP @ X14 @ X19 )
= X6 )
& ( $true
= ( X0 @ X16 @ X19 @ X17 ) ) )
| ( ( X5 = X7 )
& ( c0 = X6 ) ) ) ) ),
inference(true_and_false_elimination,[],[f6]) ).
thf(f6,plain,
~ ( ( $true
=> $true )
& ! [X0: a > a > a > $o,X1: a > a > a > $o] :
( ( $true
& $true
& ! [X4: a,X2: a,X3: a] :
( ( ( X1 @ X4 @ X3 @ X2 )
= $true )
=> ( $true
= ( X0 @ X4 @ X3 @ X2 ) ) ) )
=> ! [X7: a,X5: a,X6: a] :
( ( ? [X12: a,X11: a,X13: a,X9: a,X8: a,X10: a] :
( ( $true
= ( X1 @ X12 @ X13 @ X11 ) )
& ( ( cP @ X9 @ X11 )
= X7 )
& ( ( cP @ X8 @ X13 )
= X6 )
& ( ( cP @ X10 @ X12 )
= X5 )
& ( $true
= ( X1 @ X10 @ X8 @ X9 ) ) )
| ( ( c0 = X5 )
& ( X6 = X7 ) )
| ( ( c0 = X6 )
& ( X5 = X7 ) ) )
=> ( ( ( X6 = X7 )
& ( c0 = X5 ) )
| ? [X19: a,X18: a,X17: a,X15: a,X16: a,X14: a] :
( ( $true
= ( X0 @ X15 @ X14 @ X18 ) )
& ( ( cP @ X15 @ X16 )
= X5 )
& ( ( cP @ X18 @ X17 )
= X7 )
& ( ( cP @ X14 @ X19 )
= X6 )
& ( $true
= ( X0 @ X16 @ X19 @ X17 ) ) )
| ( ( X5 = X7 )
& ( c0 = X6 ) ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,plain,
~ ( ( $true
=> $true )
& ! [X1: a > a > a > $o,X2: a > a > a > $o] :
( ( $true
& $true
& ! [X3: a,X4: a,X5: a] :
( ( $true
= ( X2 @ X5 @ X4 @ X3 ) )
=> ( $true
= ( X1 @ X5 @ X4 @ X3 ) ) ) )
=> ! [X6: a,X7: a,X8: a] :
( ( ( ( X6 = X8 )
& ( c0 = X7 ) )
| ? [X9: a,X10: a,X11: a,X12: a,X13: a,X14: a] :
( ( ( cP @ X9 @ X14 )
= X7 )
& ( ( cP @ X11 @ X13 )
= X6 )
& ( $true
= ( X2 @ X13 @ X14 @ X12 ) )
& ( $true
= ( X2 @ X11 @ X9 @ X10 ) )
& ( ( cP @ X10 @ X12 )
= X8 ) )
| ( ( c0 = X6 )
& ( X7 = X8 ) ) )
=> ( ( ( c0 = X7 )
& ( X6 = X8 ) )
| ? [X15: a,X16: a,X17: a,X18: a,X19: a,X20: a] :
( ( ( cP @ X16 @ X17 )
= X6 )
& ( ( cP @ X15 @ X20 )
= X7 )
& ( ( cP @ X19 @ X18 )
= X8 )
& ( $true
= ( X1 @ X16 @ X15 @ X19 ) )
& ( $true
= ( X1 @ X17 @ X20 @ X18 ) ) )
| ( ( c0 = X6 )
& ( X7 = X8 ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ( $true
=> $true )
& ! [X1: a > a > a > $o,X2: a > a > a > $o] :
( ( $true
& $true
& ! [X3: a,X4: a,X5: a] :
( ( X2 @ X5 @ X4 @ X3 )
=> ( X1 @ X5 @ X4 @ X3 ) ) )
=> ! [X6: a,X7: a,X8: a] :
( ( ( ( X6 = X8 )
& ( c0 = X7 ) )
| ? [X9: a,X10: a,X11: a,X12: a,X13: a,X14: a] :
( ( ( cP @ X9 @ X14 )
= X7 )
& ( ( cP @ X11 @ X13 )
= X6 )
& ( X2 @ X13 @ X14 @ X12 )
& ( X2 @ X11 @ X9 @ X10 )
& ( ( cP @ X10 @ X12 )
= X8 ) )
| ( ( c0 = X6 )
& ( X7 = X8 ) ) )
=> ( ( ( c0 = X7 )
& ( X6 = X8 ) )
| ? [X15: a,X16: a,X17: a,X18: a,X19: a,X20: a] :
( ( ( cP @ X16 @ X17 )
= X6 )
& ( ( cP @ X15 @ X20 )
= X7 )
& ( ( cP @ X19 @ X18 )
= X8 )
& ( X1 @ X16 @ X15 @ X19 )
& ( X1 @ X17 @ X20 @ X18 ) )
| ( ( c0 = X6 )
& ( X7 = X8 ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: a > a > a > $o] :
( $true
=> $true )
& ! [X1: a > a > a > $o,X0: a > a > a > $o] :
( ( $true
& $true
& ! [X4: a,X3: a,X2: a] :
( ( X0 @ X2 @ X3 @ X4 )
=> ( X1 @ X2 @ X3 @ X4 ) ) )
=> ! [X2: a,X3: a,X4: a] :
( ( ( ( X2 = X4 )
& ( c0 = X3 ) )
| ? [X7: a,X9: a,X5: a,X10: a,X6: a,X8: a] :
( ( ( cP @ X7 @ X8 )
= X3 )
& ( ( cP @ X5 @ X6 )
= X2 )
& ( X0 @ X6 @ X8 @ X10 )
& ( X0 @ X5 @ X7 @ X9 )
& ( ( cP @ X9 @ X10 )
= X4 ) )
| ( ( c0 = X2 )
& ( X3 = X4 ) ) )
=> ( ( ( c0 = X3 )
& ( X2 = X4 ) )
| ? [X7: a,X5: a,X6: a,X10: a,X9: a,X8: a] :
( ( ( cP @ X5 @ X6 )
= X2 )
& ( ( cP @ X7 @ X8 )
= X3 )
& ( ( cP @ X9 @ X10 )
= X4 )
& ( X1 @ X5 @ X7 @ X9 )
& ( X1 @ X6 @ X8 @ X10 ) )
| ( ( c0 = X2 )
& ( X3 = X4 ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ! [X0: a > a > a > $o] :
( $true
=> $true )
& ! [X1: a > a > a > $o,X0: a > a > a > $o] :
( ( $true
& $true
& ! [X4: a,X3: a,X2: a] :
( ( X0 @ X2 @ X3 @ X4 )
=> ( X1 @ X2 @ X3 @ X4 ) ) )
=> ! [X2: a,X3: a,X4: a] :
( ( ( ( X2 = X4 )
& ( c0 = X3 ) )
| ? [X7: a,X9: a,X5: a,X10: a,X6: a,X8: a] :
( ( ( cP @ X7 @ X8 )
= X3 )
& ( ( cP @ X5 @ X6 )
= X2 )
& ( X0 @ X6 @ X8 @ X10 )
& ( X0 @ X5 @ X7 @ X9 )
& ( ( cP @ X9 @ X10 )
= X4 ) )
| ( ( c0 = X2 )
& ( X3 = X4 ) ) )
=> ( ( ( c0 = X3 )
& ( X2 = X4 ) )
| ? [X7: a,X5: a,X6: a,X10: a,X9: a,X8: a] :
( ( ( cP @ X5 @ X6 )
= X2 )
& ( ( cP @ X7 @ X8 )
= X3 )
& ( ( cP @ X9 @ X10 )
= X4 )
& ( X1 @ X5 @ X7 @ X9 )
& ( X1 @ X6 @ X8 @ X10 ) )
| ( ( c0 = X2 )
& ( X3 = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cS_JOINFN_MONOTONE_pme) ).
thf(f163,plain,
( ! [X2: a,X0: a,X1: a] :
( ( $true
!= ( sK0 @ X2 @ X1 @ X0 ) )
| ( sK2
!= ( cP @ sK10 @ X2 ) )
| ( ( cP @ sK9 @ X1 )
!= sK4 )
| ( ( cP @ sK8 @ X0 )
!= sK3 ) )
| ~ spl11_7 ),
inference(trivial_inequality_removal,[],[f161]) ).
thf(f161,plain,
( ! [X2: a,X0: a,X1: a] :
( ( ( cP @ sK9 @ X1 )
!= sK4 )
| ( $true != $true )
| ( $true
!= ( sK0 @ X2 @ X1 @ X0 ) )
| ( sK2
!= ( cP @ sK10 @ X2 ) )
| ( ( cP @ sK8 @ X0 )
!= sK3 ) )
| ~ spl11_7 ),
inference(superposition,[],[f37,f102]) ).
thf(f102,plain,
( ( $true
= ( sK0 @ sK10 @ sK9 @ sK8 ) )
| ~ spl11_7 ),
inference(trivial_inequality_removal,[],[f99]) ).
thf(f99,plain,
( ( $true != $true )
| ( $true
= ( sK0 @ sK10 @ sK9 @ sK8 ) )
| ~ spl11_7 ),
inference(superposition,[],[f15,f68]) ).
thf(f68,plain,
( ( $true
= ( sK1 @ sK10 @ sK9 @ sK8 ) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f66]) ).
thf(f37,plain,
! [X10: a,X8: a,X6: a,X9: a,X7: a,X5: a] :
( ( $true
!= ( sK0 @ X10 @ X5 @ X9 ) )
| ( ( cP @ X9 @ X6 )
!= sK3 )
| ( ( cP @ X5 @ X7 )
!= sK4 )
| ( sK2
!= ( cP @ X10 @ X8 ) )
| ( $true
!= ( sK0 @ X8 @ X7 @ X6 ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f96,plain,
( spl11_5
| spl11_3
| spl11_9 ),
inference(avatar_split_clause,[],[f23,f84,f48,f57]) ).
thf(f57,plain,
( spl11_5
<=> ( sK2 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
thf(f48,plain,
( spl11_3
<=> ( c0 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
thf(f23,plain,
( ( c0 = sK2 )
| ( sK2
= ( cP @ sK10 @ sK5 ) )
| ( sK2 = sK3 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f95,plain,
( ~ spl11_6
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f38,f48,f62]) ).
thf(f62,plain,
( spl11_6
<=> ( sK3 = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
thf(f38,plain,
( ( c0 != sK2 )
| ( sK3 != sK4 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f94,plain,
( spl11_4
| spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f28,f48,f40,f53]) ).
thf(f40,plain,
( spl11_1
<=> ( c0 = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
thf(f28,plain,
( ( c0 = sK4 )
| ( ( cP @ sK9 @ sK7 )
= sK4 )
| ( c0 = sK2 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f93,plain,
( spl11_6
| spl11_1
| spl11_9 ),
inference(avatar_split_clause,[],[f22,f84,f40,f62]) ).
thf(f22,plain,
( ( sK2
= ( cP @ sK10 @ sK5 ) )
| ( sK3 = sK4 )
| ( c0 = sK4 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f92,plain,
( spl11_7
| spl11_5
| spl11_3 ),
inference(avatar_split_clause,[],[f19,f48,f57,f66]) ).
thf(f19,plain,
( ( sK2 = sK3 )
| ( c0 = sK2 )
| ( $true
= ( sK1 @ sK10 @ sK9 @ sK8 ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f91,plain,
( spl11_8
| spl11_6
| spl11_1 ),
inference(avatar_split_clause,[],[f34,f40,f62,f74]) ).
thf(f34,plain,
( ( ( sK1 @ sK5 @ sK7 @ sK6 )
= $true )
| ( sK3 = sK4 )
| ( c0 = sK4 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f90,plain,
( spl11_1
| spl11_4
| spl11_6 ),
inference(avatar_split_clause,[],[f26,f62,f53,f40]) ).
thf(f26,plain,
( ( sK3 = sK4 )
| ( c0 = sK4 )
| ( ( cP @ sK9 @ sK7 )
= sK4 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f89,plain,
( spl11_9
| spl11_6
| spl11_5 ),
inference(avatar_split_clause,[],[f21,f57,f62,f84]) ).
thf(f21,plain,
( ( sK2 = sK3 )
| ( sK2
= ( cP @ sK10 @ sK5 ) )
| ( sK3 = sK4 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f88,plain,
( spl11_7
| spl11_6
| spl11_5 ),
inference(avatar_split_clause,[],[f17,f57,f62,f66]) ).
thf(f17,plain,
( ( sK3 = sK4 )
| ( sK2 = sK3 )
| ( $true
= ( sK1 @ sK10 @ sK9 @ sK8 ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f87,plain,
( spl11_1
| spl11_9
| spl11_3 ),
inference(avatar_split_clause,[],[f24,f48,f84,f40]) ).
thf(f24,plain,
( ( c0 = sK2 )
| ( c0 = sK4 )
| ( sK2
= ( cP @ sK10 @ sK5 ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f82,plain,
( spl11_2
| spl11_1
| spl11_6 ),
inference(avatar_split_clause,[],[f30,f62,f40,f44]) ).
thf(f30,plain,
( ( c0 = sK4 )
| ( sK3
= ( cP @ sK8 @ sK6 ) )
| ( sK3 = sK4 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f81,plain,
( spl11_5
| spl11_4
| spl11_6 ),
inference(avatar_split_clause,[],[f25,f62,f53,f57]) ).
thf(f25,plain,
( ( sK3 = sK4 )
| ( ( cP @ sK9 @ sK7 )
= sK4 )
| ( sK2 = sK3 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f80,plain,
( spl11_3
| spl11_1
| spl11_8 ),
inference(avatar_split_clause,[],[f36,f74,f40,f48]) ).
thf(f36,plain,
( ( c0 = sK2 )
| ( ( sK1 @ sK5 @ sK7 @ sK6 )
= $true )
| ( c0 = sK4 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f79,plain,
( ~ spl11_1
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f16,f57,f40]) ).
thf(f16,plain,
( ( c0 != sK4 )
| ( sK2 != sK3 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f78,plain,
( spl11_6
| spl11_5
| spl11_8 ),
inference(avatar_split_clause,[],[f33,f74,f57,f62]) ).
thf(f33,plain,
( ( ( sK1 @ sK5 @ sK7 @ sK6 )
= $true )
| ( sK3 = sK4 )
| ( sK2 = sK3 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f77,plain,
( spl11_3
| spl11_5
| spl11_8 ),
inference(avatar_split_clause,[],[f35,f74,f57,f48]) ).
thf(f35,plain,
( ( sK2 = sK3 )
| ( c0 = sK2 )
| ( ( sK1 @ sK5 @ sK7 @ sK6 )
= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f72,plain,
( spl11_6
| spl11_2
| spl11_5 ),
inference(avatar_split_clause,[],[f29,f57,f44,f62]) ).
thf(f29,plain,
( ( sK2 = sK3 )
| ( sK3
= ( cP @ sK8 @ sK6 ) )
| ( sK3 = sK4 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f71,plain,
( spl11_2
| spl11_5
| spl11_3 ),
inference(avatar_split_clause,[],[f31,f48,f57,f44]) ).
thf(f31,plain,
( ( c0 = sK2 )
| ( sK3
= ( cP @ sK8 @ sK6 ) )
| ( sK2 = sK3 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f70,plain,
( spl11_7
| spl11_3
| spl11_1 ),
inference(avatar_split_clause,[],[f20,f40,f48,f66]) ).
thf(f20,plain,
( ( $true
= ( sK1 @ sK10 @ sK9 @ sK8 ) )
| ( c0 = sK2 )
| ( c0 = sK4 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f69,plain,
( spl11_6
| spl11_1
| spl11_7 ),
inference(avatar_split_clause,[],[f18,f66,f40,f62]) ).
thf(f18,plain,
( ( $true
= ( sK1 @ sK10 @ sK9 @ sK8 ) )
| ( sK3 = sK4 )
| ( c0 = sK4 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f60,plain,
( spl11_4
| spl11_5
| spl11_3 ),
inference(avatar_split_clause,[],[f27,f48,f57,f53]) ).
thf(f27,plain,
( ( sK2 = sK3 )
| ( ( cP @ sK9 @ sK7 )
= sK4 )
| ( c0 = sK2 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f51,plain,
( spl11_1
| spl11_2
| spl11_3 ),
inference(avatar_split_clause,[],[f32,f48,f44,f40]) ).
thf(f32,plain,
( ( sK3
= ( cP @ sK8 @ sK6 ) )
| ( c0 = sK4 )
| ( c0 = sK2 ) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV191^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % 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
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 18:59:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 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/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 % (20565)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.37 % (20564)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)
% 0.13/0.37 % (20563)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)
% 0.13/0.37 % (20562)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (20560)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)
% 0.13/0.37 % (20561)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)
% 0.13/0.37 % (20566)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)
% 0.13/0.37 % (20562)Instruction limit reached!
% 0.13/0.37 % (20562)------------------------------
% 0.13/0.37 % (20562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (20562)Termination reason: Unknown
% 0.13/0.37 % (20562)Termination phase: Preprocessing 3
% 0.13/0.37
% 0.13/0.37 % (20563)Instruction limit reached!
% 0.13/0.37 % (20563)------------------------------
% 0.13/0.37 % (20563)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (20563)Termination reason: Unknown
% 0.13/0.37 % (20563)Termination phase: Property scanning
% 0.13/0.37
% 0.13/0.37 % (20563)Memory used [KB]: 1023
% 0.13/0.37 % (20563)Time elapsed: 0.003 s
% 0.13/0.37 % (20563)Instructions burned: 3 (million)
% 0.13/0.37 % (20563)------------------------------
% 0.13/0.37 % (20563)------------------------------
% 0.13/0.37 % (20562)Memory used [KB]: 1023
% 0.13/0.37 % (20562)Time elapsed: 0.003 s
% 0.13/0.37 % (20562)Instructions burned: 2 (million)
% 0.13/0.37 % (20562)------------------------------
% 0.13/0.37 % (20562)------------------------------
% 0.13/0.37 % (20566)Instruction limit reached!
% 0.13/0.37 % (20566)------------------------------
% 0.13/0.37 % (20566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (20566)Termination reason: Unknown
% 0.13/0.37 % (20566)Termination phase: Clausification
% 0.13/0.37
% 0.13/0.37 % (20566)Memory used [KB]: 1023
% 0.13/0.37 % (20566)Time elapsed: 0.003 s
% 0.13/0.37 % (20566)Instructions burned: 3 (million)
% 0.13/0.37 % (20566)------------------------------
% 0.13/0.37 % (20566)------------------------------
% 0.13/0.37 % (20560)Instruction limit reached!
% 0.13/0.37 % (20560)------------------------------
% 0.13/0.37 % (20560)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (20560)Termination reason: Unknown
% 0.13/0.37 % (20560)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (20560)Memory used [KB]: 5500
% 0.13/0.37 % (20560)Time elapsed: 0.003 s
% 0.13/0.37 % (20560)Instructions burned: 4 (million)
% 0.13/0.37 % (20560)------------------------------
% 0.13/0.37 % (20560)------------------------------
% 0.13/0.37 % (20559)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.38 % (20561)First to succeed.
% 0.13/0.38 % (20565)Also succeeded, but the first one will report.
% 0.13/0.38 % (20561)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (20561)------------------------------
% 0.13/0.38 % (20561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (20561)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (20561)Memory used [KB]: 5628
% 0.13/0.38 % (20561)Time elapsed: 0.012 s
% 0.13/0.38 % (20561)Instructions burned: 10 (million)
% 0.13/0.38 % (20561)------------------------------
% 0.13/0.38 % (20561)------------------------------
% 0.13/0.38 % (20558)Success in time 0.023 s
% 0.13/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------