TSTP Solution File: SEV009^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV009^5 : TPTP v8.1.2. 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 : 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 : Sun May 5 09:41:00 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 36
% Syntax : Number of formulae : 172 ( 7 unt; 15 typ; 0 def)
% Number of atoms : 1733 ( 606 equ; 0 cnn)
% Maximal formula atoms : 46 ( 11 avg)
% Number of connectives : 1810 ( 441 ~; 497 |; 178 &; 658 @)
% ( 12 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 204 ( 204 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 20 con; 0-2 aty)
% Number of variables : 271 ( 0 ^ 171 !; 98 ?; 271 :)
% ( 2 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_2,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_5,type,
sK0: ( a > $o ) > $o ).
thf(func_def_6,type,
sK1: a > a > $o ).
thf(func_def_7,type,
sK2: a ).
thf(func_def_8,type,
sK3: a ).
thf(func_def_9,type,
sK4: a > $o ).
thf(func_def_10,type,
sK5: a ).
thf(func_def_11,type,
sK6: a ).
thf(func_def_12,type,
sK7: a ).
thf(func_def_13,type,
sK8: a > $o ).
thf(func_def_14,type,
sK9: a > $o ).
thf(func_def_15,type,
sK10: a ).
thf(func_def_17,type,
ph12:
!>[X0: $tType] : X0 ).
thf(f272,plain,
$false,
inference(avatar_sat_refutation,[],[f88,f93,f101,f105,f106,f115,f120,f121,f122,f127,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f154,f223,f253]) ).
thf(f253,plain,
( ~ spl11_5
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f252,f108,f103,f82,f95]) ).
thf(f95,plain,
( spl11_5
<=> ( $true
= ( sK4 @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
thf(f82,plain,
( spl11_2
<=> ( $true
= ( sK4 @ sK2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
thf(f103,plain,
( spl11_7
<=> ! [X7: a > $o] :
( ( ( X7 @ sK2 )
!= $true )
| ( $true
!= ( sK0 @ X7 ) )
| ( ( X7 @ sK3 )
!= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
thf(f108,plain,
( spl11_8
<=> ( $true
= ( sK0 @ sK4 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
thf(f252,plain,
( ( $true
!= ( sK4 @ sK3 ) )
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8 ),
inference(trivial_inequality_removal,[],[f251]) ).
thf(f251,plain,
( ( $true != $true )
| ( $true
!= ( sK4 @ sK3 ) )
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_demodulation,[],[f250,f84]) ).
thf(f84,plain,
( ( $true
= ( sK4 @ sK2 ) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f82]) ).
thf(f250,plain,
( ( $true
!= ( sK4 @ sK2 ) )
| ( $true
!= ( sK4 @ sK3 ) )
| ~ spl11_7
| ~ spl11_8 ),
inference(trivial_inequality_removal,[],[f244]) ).
thf(f244,plain,
( ( $true
!= ( sK4 @ sK3 ) )
| ( $true != $true )
| ( $true
!= ( sK4 @ sK2 ) )
| ~ spl11_7
| ~ spl11_8 ),
inference(superposition,[],[f104,f110]) ).
thf(f110,plain,
( ( $true
= ( sK0 @ sK4 ) )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f108]) ).
thf(f104,plain,
( ! [X7: a > $o] :
( ( $true
!= ( sK0 @ X7 ) )
| ( ( X7 @ sK2 )
!= $true )
| ( ( X7 @ sK3 )
!= $true ) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f103]) ).
thf(f223,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f222]) ).
thf(f222,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f220]) ).
thf(f220,plain,
( ( $true = $false )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f114,f218]) ).
thf(f218,plain,
( ( $false
= ( sK8 @ sK7 ) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f217]) ).
thf(f217,plain,
( ( $false
= ( sK8 @ sK7 ) )
| ( $true != $true )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f162,f206]) ).
thf(f206,plain,
( ! [X1: a] :
( ( $true
= ( sK9 @ X1 ) )
| ( $false
= ( sK8 @ X1 ) ) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_10
| ~ spl11_11 ),
inference(binary_proxy_clausification,[],[f205]) ).
thf(f205,plain,
( ! [X1: a] :
( ( sK9 @ X1 )
= ( sK8 @ X1 ) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_10
| ~ spl11_11 ),
inference(argument_congruence,[],[f197]) ).
thf(f197,plain,
( ( sK9 = sK8 )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f176,f181]) ).
thf(f181,plain,
( ( ( sK1 @ sK5 )
= sK8 )
| ~ spl11_4
| ~ spl11_10 ),
inference(trivial_inequality_removal,[],[f179]) ).
thf(f179,plain,
( ( ( sK1 @ sK5 )
= sK8 )
| ( $true != $true )
| ~ spl11_4
| ~ spl11_10 ),
inference(superposition,[],[f173,f119]) ).
thf(f119,plain,
( ( $true
= ( sK8 @ sK5 ) )
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f117]) ).
thf(f117,plain,
( spl11_10
<=> ( $true
= ( sK8 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
thf(f173,plain,
( ! [X0: a] :
( ( $true
!= ( sK8 @ X0 ) )
| ( ( sK1 @ X0 )
= sK8 ) )
| ~ spl11_4 ),
inference(trivial_inequality_removal,[],[f169]) ).
thf(f169,plain,
( ! [X0: a] :
( ( $true != $true )
| ( $true
!= ( sK8 @ X0 ) )
| ( ( sK1 @ X0 )
= sK8 ) )
| ~ spl11_4 ),
inference(superposition,[],[f46,f92]) ).
thf(f92,plain,
( ( $true
= ( sK0 @ sK8 ) )
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f90]) ).
thf(f90,plain,
( spl11_4
<=> ( $true
= ( sK0 @ sK8 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
thf(f46,plain,
! [X3: a > $o,X1: a] :
( ( $true
!= ( sK0 @ X3 ) )
| ( ( sK1 @ X1 )
= X3 )
| ( ( X3 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f17,plain,
( ! [X1: a] :
( ( $true
= ( sK1 @ X1 @ X1 ) )
& ( $true
= ( sK0 @ ( sK1 @ X1 ) ) )
& ! [X3: a > $o] :
( ( $true
!= ( sK0 @ X3 ) )
| ( ( X3 @ X1 )
!= $true )
| ( ( sK1 @ X1 )
= X3 ) ) )
& ( ( ( $true
= ( sK4 @ sK2 ) )
& ( $true
= ( sK4 @ sK3 ) )
& ( $true
= ( sK0 @ sK4 ) )
& ! [X7: a > $o] :
( ( ( X7 @ sK2 )
!= $true )
| ( ( X7 @ sK3 )
!= $true )
| ( $true
!= ( sK0 @ X7 ) ) ) )
| ( ( $true
= ( sK0 @ sK8 ) )
& ( $true
= ( sK8 @ sK5 ) )
& ( $true
= ( sK8 @ sK7 ) )
& ( $true
= ( sK9 @ sK5 ) )
& ( $true
= ( sK0 @ sK9 ) )
& ( $true
= ( sK9 @ sK6 ) )
& ! [X13: a > $o] :
( ( $true
!= ( sK0 @ X13 ) )
| ( $true
!= ( X13 @ sK7 ) )
| ( $true
!= ( X13 @ sK6 ) ) ) )
| ! [X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X15 @ sK10 ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f8,f16,f15,f14,f13,f12,f11,f10,f9]) ).
thf(f9,plain,
( ? [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ( ( X2 @ X1 )
= $true )
& ( ( X0 @ X2 )
= $true )
& ! [X3: a > $o] :
( ( ( X0 @ X3 )
!= $true )
| ( ( X3 @ X1 )
!= $true )
| ( X2 = X3 ) ) )
& ( ? [X4: a,X5: a] :
( ? [X6: a > $o] :
( ( $true
= ( X6 @ X4 ) )
& ( $true
= ( X6 @ X5 ) )
& ( ( X0 @ X6 )
= $true ) )
& ! [X7: a > $o] :
( ( $true
!= ( X7 @ X4 ) )
| ( $true
!= ( X7 @ X5 ) )
| ( $true
!= ( X0 @ X7 ) ) ) )
| ? [X8: a,X9: a,X10: a] :
( ? [X11: a > $o] :
( ( $true
= ( X0 @ X11 ) )
& ( $true
= ( X11 @ X8 ) )
& ( $true
= ( X11 @ X10 ) ) )
& ? [X12: a > $o] :
( ( $true
= ( X12 @ X8 ) )
& ( $true
= ( X0 @ X12 ) )
& ( $true
= ( X12 @ X9 ) ) )
& ! [X13: a > $o] :
( ( $true
!= ( X0 @ X13 ) )
| ( $true
!= ( X13 @ X10 ) )
| ( $true
!= ( X13 @ X9 ) ) ) )
| ? [X14: a] :
! [X15: a > $o] :
( ( $true
!= ( X0 @ X15 ) )
| ( $true
!= ( X15 @ X14 ) )
| ( $true
!= ( X15 @ X14 ) ) ) ) )
=> ( ! [X1: a] :
? [X2: a > $o] :
( ( ( X2 @ X1 )
= $true )
& ( $true
= ( sK0 @ X2 ) )
& ! [X3: a > $o] :
( ( $true
!= ( sK0 @ X3 ) )
| ( ( X3 @ X1 )
!= $true )
| ( X2 = X3 ) ) )
& ( ? [X5: a,X4: a] :
( ? [X6: a > $o] :
( ( $true
= ( X6 @ X4 ) )
& ( $true
= ( X6 @ X5 ) )
& ( $true
= ( sK0 @ X6 ) ) )
& ! [X7: a > $o] :
( ( $true
!= ( X7 @ X4 ) )
| ( $true
!= ( X7 @ X5 ) )
| ( $true
!= ( sK0 @ X7 ) ) ) )
| ? [X10: a,X9: a,X8: a] :
( ? [X11: a > $o] :
( ( $true
= ( sK0 @ X11 ) )
& ( $true
= ( X11 @ X8 ) )
& ( $true
= ( X11 @ X10 ) ) )
& ? [X12: a > $o] :
( ( $true
= ( X12 @ X8 ) )
& ( $true
= ( sK0 @ X12 ) )
& ( $true
= ( X12 @ X9 ) ) )
& ! [X13: a > $o] :
( ( $true
!= ( sK0 @ X13 ) )
| ( $true
!= ( X13 @ X10 ) )
| ( $true
!= ( X13 @ X9 ) ) ) )
| ? [X14: a] :
! [X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X15 @ X14 ) )
| ( $true
!= ( X15 @ X14 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
! [X1: a] :
( ? [X2: a > $o] :
( ( ( X2 @ X1 )
= $true )
& ( $true
= ( sK0 @ X2 ) )
& ! [X3: a > $o] :
( ( $true
!= ( sK0 @ X3 ) )
| ( ( X3 @ X1 )
!= $true )
| ( X2 = X3 ) ) )
=> ( ( $true
= ( sK1 @ X1 @ X1 ) )
& ( $true
= ( sK0 @ ( sK1 @ X1 ) ) )
& ! [X3: a > $o] :
( ( $true
!= ( sK0 @ X3 ) )
| ( ( X3 @ X1 )
!= $true )
| ( ( sK1 @ X1 )
= X3 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X5: a,X4: a] :
( ? [X6: a > $o] :
( ( $true
= ( X6 @ X4 ) )
& ( $true
= ( X6 @ X5 ) )
& ( $true
= ( sK0 @ X6 ) ) )
& ! [X7: a > $o] :
( ( $true
!= ( X7 @ X4 ) )
| ( $true
!= ( X7 @ X5 ) )
| ( $true
!= ( sK0 @ X7 ) ) ) )
=> ( ? [X6: a > $o] :
( ( $true
= ( X6 @ sK2 ) )
& ( $true
= ( X6 @ sK3 ) )
& ( $true
= ( sK0 @ X6 ) ) )
& ! [X7: a > $o] :
( ( ( X7 @ sK2 )
!= $true )
| ( ( X7 @ sK3 )
!= $true )
| ( $true
!= ( sK0 @ X7 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
( ? [X6: a > $o] :
( ( $true
= ( X6 @ sK2 ) )
& ( $true
= ( X6 @ sK3 ) )
& ( $true
= ( sK0 @ X6 ) ) )
=> ( ( $true
= ( sK4 @ sK2 ) )
& ( $true
= ( sK4 @ sK3 ) )
& ( $true
= ( sK0 @ sK4 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
( ? [X10: a,X9: a,X8: a] :
( ? [X11: a > $o] :
( ( $true
= ( sK0 @ X11 ) )
& ( $true
= ( X11 @ X8 ) )
& ( $true
= ( X11 @ X10 ) ) )
& ? [X12: a > $o] :
( ( $true
= ( X12 @ X8 ) )
& ( $true
= ( sK0 @ X12 ) )
& ( $true
= ( X12 @ X9 ) ) )
& ! [X13: a > $o] :
( ( $true
!= ( sK0 @ X13 ) )
| ( $true
!= ( X13 @ X10 ) )
| ( $true
!= ( X13 @ X9 ) ) ) )
=> ( ? [X11: a > $o] :
( ( $true
= ( sK0 @ X11 ) )
& ( $true
= ( X11 @ sK5 ) )
& ( $true
= ( X11 @ sK7 ) ) )
& ? [X12: a > $o] :
( ( $true
= ( X12 @ sK5 ) )
& ( $true
= ( sK0 @ X12 ) )
& ( $true
= ( X12 @ sK6 ) ) )
& ! [X13: a > $o] :
( ( $true
!= ( sK0 @ X13 ) )
| ( $true
!= ( X13 @ sK7 ) )
| ( $true
!= ( X13 @ sK6 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f14,plain,
( ? [X11: a > $o] :
( ( $true
= ( sK0 @ X11 ) )
& ( $true
= ( X11 @ sK5 ) )
& ( $true
= ( X11 @ sK7 ) ) )
=> ( ( $true
= ( sK0 @ sK8 ) )
& ( $true
= ( sK8 @ sK5 ) )
& ( $true
= ( sK8 @ sK7 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f15,plain,
( ? [X12: a > $o] :
( ( $true
= ( X12 @ sK5 ) )
& ( $true
= ( sK0 @ X12 ) )
& ( $true
= ( X12 @ sK6 ) ) )
=> ( ( $true
= ( sK9 @ sK5 ) )
& ( $true
= ( sK0 @ sK9 ) )
& ( $true
= ( sK9 @ sK6 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f16,plain,
( ? [X14: a] :
! [X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X15 @ X14 ) )
| ( $true
!= ( X15 @ X14 ) ) )
=> ! [X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X15 @ sK10 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ( ( X2 @ X1 )
= $true )
& ( ( X0 @ X2 )
= $true )
& ! [X3: a > $o] :
( ( ( X0 @ X3 )
!= $true )
| ( ( X3 @ X1 )
!= $true )
| ( X2 = X3 ) ) )
& ( ? [X4: a,X5: a] :
( ? [X6: a > $o] :
( ( $true
= ( X6 @ X4 ) )
& ( $true
= ( X6 @ X5 ) )
& ( ( X0 @ X6 )
= $true ) )
& ! [X7: a > $o] :
( ( $true
!= ( X7 @ X4 ) )
| ( $true
!= ( X7 @ X5 ) )
| ( $true
!= ( X0 @ X7 ) ) ) )
| ? [X8: a,X9: a,X10: a] :
( ? [X11: a > $o] :
( ( $true
= ( X0 @ X11 ) )
& ( $true
= ( X11 @ X8 ) )
& ( $true
= ( X11 @ X10 ) ) )
& ? [X12: a > $o] :
( ( $true
= ( X12 @ X8 ) )
& ( $true
= ( X0 @ X12 ) )
& ( $true
= ( X12 @ X9 ) ) )
& ! [X13: a > $o] :
( ( $true
!= ( X0 @ X13 ) )
| ( $true
!= ( X13 @ X10 ) )
| ( $true
!= ( X13 @ X9 ) ) ) )
| ? [X14: a] :
! [X15: a > $o] :
( ( $true
!= ( X0 @ X15 ) )
| ( $true
!= ( X15 @ X14 ) )
| ( $true
!= ( X15 @ X14 ) ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ( ( X2 @ X1 )
= $true )
& ( ( X0 @ X2 )
= $true )
& ! [X3: a > $o] :
( ( ( X0 @ X3 )
!= $true )
| ( ( X3 @ X1 )
!= $true )
| ( X2 = X3 ) ) )
& ( ? [X12: a,X13: a] :
( ? [X14: a > $o] :
( ( $true
= ( X14 @ X12 ) )
& ( $true
= ( X14 @ X13 ) )
& ( $true
= ( X0 @ X14 ) ) )
& ! [X15: a > $o] :
( ( $true
!= ( X15 @ X12 ) )
| ( $true
!= ( X15 @ X13 ) )
| ( $true
!= ( X0 @ X15 ) ) ) )
| ? [X8: a,X6: a,X7: a] :
( ? [X10: a > $o] :
( ( $true
= ( X0 @ X10 ) )
& ( $true
= ( X10 @ X8 ) )
& ( $true
= ( X10 @ X7 ) ) )
& ? [X9: a > $o] :
( ( $true
= ( X9 @ X8 ) )
& ( $true
= ( X0 @ X9 ) )
& ( $true
= ( X9 @ X6 ) ) )
& ! [X11: a > $o] :
( ( $true
!= ( X0 @ X11 ) )
| ( $true
!= ( X11 @ X7 ) )
| ( $true
!= ( X11 @ X6 ) ) ) )
| ? [X4: a] :
! [X5: a > $o] :
( ( $true
!= ( X0 @ X5 ) )
| ( $true
!= ( X5 @ X4 ) )
| ( $true
!= ( X5 @ X4 ) ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X0: ( a > $o ) > $o] :
( ( ? [X4: a] :
! [X5: a > $o] :
( ( $true
!= ( X0 @ X5 ) )
| ( $true
!= ( X5 @ X4 ) )
| ( $true
!= ( X5 @ X4 ) ) )
| ? [X6: a,X7: a,X8: a] :
( ! [X11: a > $o] :
( ( $true
!= ( X0 @ X11 ) )
| ( $true
!= ( X11 @ X7 ) )
| ( $true
!= ( X11 @ X6 ) ) )
& ? [X9: a > $o] :
( ( $true
= ( X9 @ X8 ) )
& ( $true
= ( X0 @ X9 ) )
& ( $true
= ( X9 @ X6 ) ) )
& ? [X10: a > $o] :
( ( $true
= ( X0 @ X10 ) )
& ( $true
= ( X10 @ X8 ) )
& ( $true
= ( X10 @ X7 ) ) ) )
| ? [X12: a,X13: a] :
( ? [X14: a > $o] :
( ( $true
= ( X14 @ X12 ) )
& ( $true
= ( X14 @ X13 ) )
& ( $true
= ( X0 @ X14 ) ) )
& ! [X15: a > $o] :
( ( $true
!= ( X15 @ X12 ) )
| ( $true
!= ( X15 @ X13 ) )
| ( $true
!= ( X0 @ X15 ) ) ) ) )
& ! [X1: a] :
? [X2: a > $o] :
( ( ( X0 @ X2 )
= $true )
& ! [X3: a > $o] :
( ( X2 = X3 )
| ( ( X3 @ X1 )
!= $true )
| ( ( X0 @ X3 )
!= $true ) )
& ( ( X2 @ X1 )
= $true ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ( ( X0 @ X2 )
= $true )
& ! [X3: a > $o] :
( ( ( ( X3 @ X1 )
= $true )
& ( ( X0 @ X3 )
= $true ) )
=> ( X2 = X3 ) )
& ( ( X2 @ X1 )
= $true ) )
=> ( ! [X4: a] :
? [X5: a > $o] :
( ( $true
= ( X5 @ X4 ) )
& ( $true
= ( X5 @ X4 ) )
& ( $true
= ( X0 @ X5 ) ) )
& ! [X6: a,X7: a,X8: a] :
( ( ? [X9: a > $o] :
( ( $true
= ( X9 @ X8 ) )
& ( $true
= ( X0 @ X9 ) )
& ( $true
= ( X9 @ X6 ) ) )
& ? [X10: a > $o] :
( ( $true
= ( X0 @ X10 ) )
& ( $true
= ( X10 @ X8 ) )
& ( $true
= ( X10 @ X7 ) ) ) )
=> ? [X11: a > $o] :
( ( $true
= ( X11 @ X6 ) )
& ( $true
= ( X0 @ X11 ) )
& ( $true
= ( X11 @ X7 ) ) ) )
& ! [X12: a,X13: a] :
( ? [X14: a > $o] :
( ( $true
= ( X14 @ X12 ) )
& ( $true
= ( X14 @ X13 ) )
& ( $true
= ( X0 @ X14 ) ) )
=> ? [X15: a > $o] :
( ( $true
= ( X15 @ X12 ) )
& ( $true
= ( X15 @ X13 ) )
& ( $true
= ( X0 @ X15 ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ( X2 @ X1 )
& ( X0 @ X2 )
& ! [X3: a > $o] :
( ( ( X0 @ X3 )
& ( X3 @ X1 ) )
=> ( X2 = X3 ) ) )
=> ( ! [X4: a] :
? [X5: a > $o] :
( ( X5 @ X4 )
& ( X5 @ X4 )
& ( X0 @ X5 ) )
& ! [X6: a,X7: a,X8: a] :
( ( ? [X9: a > $o] :
( ( X9 @ X6 )
& ( X9 @ X8 )
& ( X0 @ X9 ) )
& ? [X10: a > $o] :
( ( X10 @ X7 )
& ( X10 @ X8 )
& ( X0 @ X10 ) ) )
=> ? [X11: a > $o] :
( ( X11 @ X7 )
& ( X0 @ X11 )
& ( X11 @ X6 ) ) )
& ! [X12: a,X13: a] :
( ? [X14: a > $o] :
( ( X0 @ X14 )
& ( X14 @ X12 )
& ( X14 @ X13 ) )
=> ? [X15: a > $o] :
( ( X15 @ X12 )
& ( X0 @ X15 )
& ( X15 @ X13 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ( X2 @ X1 )
& ( X0 @ X2 )
& ! [X3: a > $o] :
( ( ( X0 @ X3 )
& ( X3 @ X1 ) )
=> ( X2 = X3 ) ) )
=> ( ! [X1: a] :
? [X4: a > $o] :
( ( X4 @ X1 )
& ( X4 @ X1 )
& ( X0 @ X4 ) )
& ! [X1: a,X6: a,X5: a] :
( ( ? [X4: a > $o] :
( ( X4 @ X1 )
& ( X4 @ X5 )
& ( X0 @ X4 ) )
& ? [X4: a > $o] :
( ( X4 @ X6 )
& ( X4 @ X5 )
& ( X0 @ X4 ) ) )
=> ? [X4: a > $o] :
( ( X4 @ X6 )
& ( X0 @ X4 )
& ( X4 @ X1 ) ) )
& ! [X1: a,X5: a] :
( ? [X4: a > $o] :
( ( X0 @ X4 )
& ( X4 @ X1 )
& ( X4 @ X5 ) )
=> ? [X4: a > $o] :
( ( X4 @ X1 )
& ( X0 @ X4 )
& ( X4 @ X5 ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ( X2 @ X1 )
& ( X0 @ X2 )
& ! [X3: a > $o] :
( ( ( X0 @ X3 )
& ( X3 @ X1 ) )
=> ( X2 = X3 ) ) )
=> ( ! [X1: a] :
? [X4: a > $o] :
( ( X4 @ X1 )
& ( X4 @ X1 )
& ( X0 @ X4 ) )
& ! [X1: a,X6: a,X5: a] :
( ( ? [X4: a > $o] :
( ( X4 @ X1 )
& ( X4 @ X5 )
& ( X0 @ X4 ) )
& ? [X4: a > $o] :
( ( X4 @ X6 )
& ( X4 @ X5 )
& ( X0 @ X4 ) ) )
=> ? [X4: a > $o] :
( ( X4 @ X6 )
& ( X0 @ X4 )
& ( X4 @ X1 ) ) )
& ! [X1: a,X5: a] :
( ? [X4: a > $o] :
( ( X0 @ X4 )
& ( X4 @ X1 )
& ( X4 @ X5 ) )
=> ? [X4: a > $o] :
( ( X4 @ X1 )
& ( X0 @ X4 )
& ( X4 @ X5 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LWWQTiasbg/Vampire---4.8_8630',cTHM261_B_pme) ).
thf(f176,plain,
( ( sK9
= ( sK1 @ sK5 ) )
| ~ spl11_1
| ~ spl11_11 ),
inference(trivial_inequality_removal,[],[f174]) ).
thf(f174,plain,
( ( sK9
= ( sK1 @ sK5 ) )
| ( $true != $true )
| ~ spl11_1
| ~ spl11_11 ),
inference(superposition,[],[f172,f80]) ).
thf(f80,plain,
( ( $true
= ( sK9 @ sK5 ) )
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f78]) ).
thf(f78,plain,
( spl11_1
<=> ( $true
= ( sK9 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
thf(f172,plain,
( ! [X0: a] :
( ( $true
!= ( sK9 @ X0 ) )
| ( ( sK1 @ X0 )
= sK9 ) )
| ~ spl11_11 ),
inference(trivial_inequality_removal,[],[f168]) ).
thf(f168,plain,
( ! [X0: a] :
( ( $true
!= ( sK9 @ X0 ) )
| ( ( sK1 @ X0 )
= sK9 )
| ( $true != $true ) )
| ~ spl11_11 ),
inference(superposition,[],[f46,f126]) ).
thf(f126,plain,
( ( $true
= ( sK0 @ sK9 ) )
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f124]) ).
thf(f124,plain,
( spl11_11
<=> ( $true
= ( sK0 @ sK9 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
thf(f162,plain,
( ( $true
!= ( sK9 @ sK7 ) )
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f161]) ).
thf(f161,plain,
( ( $true != $true )
| ( $true
!= ( sK9 @ sK7 ) )
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f160,f131]) ).
thf(f131,plain,
( ( $true
= ( sK9 @ sK6 ) )
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f129]) ).
thf(f129,plain,
( spl11_12
<=> ( $true
= ( sK9 @ sK6 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
thf(f160,plain,
( ( $true
!= ( sK9 @ sK6 ) )
| ( $true
!= ( sK9 @ sK7 ) )
| ~ spl11_6
| ~ spl11_11 ),
inference(trivial_inequality_removal,[],[f155]) ).
thf(f155,plain,
( ( $true != $true )
| ( $true
!= ( sK9 @ sK7 ) )
| ( $true
!= ( sK9 @ sK6 ) )
| ~ spl11_6
| ~ spl11_11 ),
inference(superposition,[],[f100,f126]) ).
thf(f100,plain,
( ! [X13: a > $o] :
( ( $true
!= ( sK0 @ X13 ) )
| ( $true
!= ( X13 @ sK6 ) )
| ( $true
!= ( X13 @ sK7 ) ) )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f99]) ).
thf(f99,plain,
( spl11_6
<=> ! [X13: a > $o] :
( ( $true
!= ( sK0 @ X13 ) )
| ( $true
!= ( X13 @ sK7 ) )
| ( $true
!= ( X13 @ sK6 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
thf(f114,plain,
( ( $true
= ( sK8 @ sK7 ) )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f112]) ).
thf(f112,plain,
( spl11_9
<=> ( $true
= ( sK8 @ sK7 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
thf(f154,plain,
~ spl11_3,
inference(avatar_contradiction_clause,[],[f153]) ).
thf(f153,plain,
( $false
| ~ spl11_3 ),
inference(trivial_inequality_removal,[],[f152]) ).
thf(f152,plain,
( ( $true != $true )
| ~ spl11_3 ),
inference(superposition,[],[f151,f48]) ).
thf(f48,plain,
! [X1: a] :
( $true
= ( sK1 @ X1 @ X1 ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f151,plain,
( ! [X0: a] :
( $true
!= ( sK1 @ X0 @ sK10 ) )
| ~ spl11_3 ),
inference(trivial_inequality_removal,[],[f150]) ).
thf(f150,plain,
( ! [X0: a] :
( ( $true != $true )
| ( $true
!= ( sK1 @ X0 @ sK10 ) ) )
| ~ spl11_3 ),
inference(superposition,[],[f87,f47]) ).
thf(f47,plain,
! [X1: a] :
( $true
= ( sK0 @ ( sK1 @ X1 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f87,plain,
( ! [X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X15 @ sK10 ) ) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f86]) ).
thf(f86,plain,
( spl11_3
<=> ! [X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X15 @ sK10 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
thf(f149,plain,
( spl11_5
| spl11_3
| spl11_10 ),
inference(avatar_split_clause,[],[f49,f117,f86,f95]) ).
thf(f49,plain,
! [X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK4 @ sK3 ) )
| ( $true
= ( sK8 @ sK5 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(duplicate_literal_removal,[],[f37]) ).
thf(f37,plain,
! [X15: a > $o] :
( ( $true
= ( sK4 @ sK3 ) )
| ( $true
= ( sK8 @ sK5 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f148,plain,
( spl11_3
| spl11_9
| spl11_7 ),
inference(avatar_split_clause,[],[f50,f103,f112,f86]) ).
thf(f50,plain,
! [X7: a > $o,X15: a > $o] :
( ( ( X7 @ sK3 )
!= $true )
| ( $true
= ( sK8 @ sK7 ) )
| ( ( X7 @ sK2 )
!= $true )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( sK0 @ X7 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(duplicate_literal_removal,[],[f22]) ).
thf(f22,plain,
! [X7: a > $o,X15: a > $o] :
( ( ( X7 @ sK2 )
!= $true )
| ( $true
!= ( X15 @ sK10 ) )
| ( ( X7 @ sK3 )
!= $true )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( sK0 @ X7 ) )
| ( $true
= ( sK8 @ sK7 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f147,plain,
( spl11_5
| spl11_4
| spl11_3 ),
inference(avatar_split_clause,[],[f51,f86,f90,f95]) ).
thf(f51,plain,
! [X15: a > $o] :
( ( $true
= ( sK4 @ sK3 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK0 @ sK8 ) ) ),
inference(duplicate_literal_removal,[],[f38]) ).
thf(f38,plain,
! [X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK0 @ sK8 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK4 @ sK3 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f146,plain,
( spl11_3
| spl11_6
| spl11_2 ),
inference(avatar_split_clause,[],[f52,f82,f99,f86]) ).
thf(f52,plain,
! [X15: a > $o,X13: a > $o] :
( ( $true
!= ( X13 @ sK6 ) )
| ( $true
!= ( sK0 @ X13 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X13 @ sK7 ) )
| ( $true
= ( sK4 @ sK2 ) )
| ( $true
!= ( sK0 @ X15 ) ) ),
inference(duplicate_literal_removal,[],[f39]) ).
thf(f39,plain,
! [X15: a > $o,X13: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X13 @ sK6 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X13 ) )
| ( $true
!= ( X13 @ sK7 ) )
| ( $true
= ( sK4 @ sK2 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f145,plain,
( spl11_1
| spl11_3
| spl11_8 ),
inference(avatar_split_clause,[],[f53,f108,f86,f78]) ).
thf(f53,plain,
! [X15: a > $o] :
( ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK9 @ sK5 ) ) ),
inference(duplicate_literal_removal,[],[f28]) ).
thf(f28,plain,
! [X15: a > $o] :
( ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK9 @ sK5 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f144,plain,
( spl11_7
| spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f54,f90,f86,f103]) ).
thf(f54,plain,
! [X7: a > $o,X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( ( X7 @ sK3 )
!= $true )
| ( $true
!= ( X15 @ sK10 ) )
| ( ( X7 @ sK2 )
!= $true )
| ( $true
= ( sK0 @ sK8 ) )
| ( $true
!= ( sK0 @ X7 ) ) ),
inference(duplicate_literal_removal,[],[f24]) ).
thf(f24,plain,
! [X7: a > $o,X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( ( X7 @ sK2 )
!= $true )
| ( $true
!= ( sK0 @ X7 ) )
| ( ( X7 @ sK3 )
!= $true )
| ( $true
= ( sK0 @ sK8 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f143,plain,
( spl11_9
| spl11_5
| spl11_3 ),
inference(avatar_split_clause,[],[f55,f86,f95,f112]) ).
thf(f55,plain,
! [X15: a > $o] :
( ( $true
= ( sK8 @ sK7 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK4 @ sK3 ) ) ),
inference(duplicate_literal_removal,[],[f36]) ).
thf(f36,plain,
! [X15: a > $o] :
( ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK4 @ sK3 ) )
| ( $true
= ( sK8 @ sK7 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f142,plain,
( spl11_3
| spl11_11
| spl11_7 ),
inference(avatar_split_clause,[],[f56,f103,f124,f86]) ).
thf(f56,plain,
! [X7: a > $o,X15: a > $o] :
( ( $true
= ( sK0 @ sK9 ) )
| ( ( X7 @ sK3 )
!= $true )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X7 ) )
| ( ( X7 @ sK2 )
!= $true )
| ( $true
!= ( sK0 @ X15 ) ) ),
inference(duplicate_literal_removal,[],[f20]) ).
thf(f20,plain,
! [X7: a > $o,X15: a > $o] :
( ( ( X7 @ sK2 )
!= $true )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X7 ) )
| ( ( X7 @ sK3 )
!= $true )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK0 @ sK9 ) )
| ( $true
!= ( sK0 @ X15 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f141,plain,
( spl11_3
| spl11_5
| spl11_12 ),
inference(avatar_split_clause,[],[f57,f129,f95,f86]) ).
thf(f57,plain,
! [X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK4 @ sK3 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK9 @ sK6 ) ) ),
inference(duplicate_literal_removal,[],[f33]) ).
thf(f33,plain,
! [X15: a > $o] :
( ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK9 @ sK6 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK4 @ sK3 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f140,plain,
( spl11_10
| spl11_3
| spl11_2 ),
inference(avatar_split_clause,[],[f58,f82,f86,f117]) ).
thf(f58,plain,
! [X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK8 @ sK5 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK4 @ sK2 ) ) ),
inference(duplicate_literal_removal,[],[f44]) ).
thf(f44,plain,
! [X15: a > $o] :
( ( $true
= ( sK4 @ sK2 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK8 @ sK5 ) )
| ( $true
!= ( sK0 @ X15 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f139,plain,
( spl11_3
| spl11_2
| spl11_11 ),
inference(avatar_split_clause,[],[f59,f124,f82,f86]) ).
thf(f59,plain,
! [X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK0 @ sK9 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK4 @ sK2 ) ) ),
inference(duplicate_literal_removal,[],[f41]) ).
thf(f41,plain,
! [X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK0 @ sK9 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK4 @ sK2 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f138,plain,
( spl11_3
| spl11_2
| spl11_12 ),
inference(avatar_split_clause,[],[f60,f129,f82,f86]) ).
thf(f60,plain,
! [X15: a > $o] :
( ( $true
= ( sK4 @ sK2 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK9 @ sK6 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(duplicate_literal_removal,[],[f40]) ).
thf(f40,plain,
! [X15: a > $o] :
( ( $true
= ( sK9 @ sK6 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK4 @ sK2 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f137,plain,
( spl11_3
| spl11_12
| spl11_7 ),
inference(avatar_split_clause,[],[f61,f103,f129,f86]) ).
thf(f61,plain,
! [X7: a > $o,X15: a > $o] :
( ( ( X7 @ sK3 )
!= $true )
| ( $true
= ( sK9 @ sK6 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( ( X7 @ sK2 )
!= $true )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X7 ) ) ),
inference(duplicate_literal_removal,[],[f19]) ).
thf(f19,plain,
! [X7: a > $o,X15: a > $o] :
( ( ( X7 @ sK3 )
!= $true )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK9 @ sK6 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X7 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( ( X7 @ sK2 )
!= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f136,plain,
( spl11_11
| spl11_5
| spl11_3 ),
inference(avatar_split_clause,[],[f62,f86,f95,f124]) ).
thf(f62,plain,
! [X15: a > $o] :
( ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK0 @ sK9 ) )
| ( $true
= ( sK4 @ sK3 ) ) ),
inference(duplicate_literal_removal,[],[f34]) ).
thf(f34,plain,
! [X15: a > $o] :
( ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK0 @ sK9 ) )
| ( $true
= ( sK4 @ sK3 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f135,plain,
( spl11_3
| spl11_8
| spl11_10 ),
inference(avatar_split_clause,[],[f63,f117,f108,f86]) ).
thf(f63,plain,
! [X15: a > $o] :
( ( $true
= ( sK8 @ sK5 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(duplicate_literal_removal,[],[f30]) ).
thf(f30,plain,
! [X15: a > $o] :
( ( $true
= ( sK8 @ sK5 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f134,plain,
( spl11_9
| spl11_2
| spl11_3 ),
inference(avatar_split_clause,[],[f64,f86,f82,f112]) ).
thf(f64,plain,
! [X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK8 @ sK7 ) )
| ( $true
= ( sK4 @ sK2 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(duplicate_literal_removal,[],[f43]) ).
thf(f43,plain,
! [X15: a > $o] :
( ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK4 @ sK2 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK8 @ sK7 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f133,plain,
( spl11_8
| spl11_3
| spl11_6 ),
inference(avatar_split_clause,[],[f65,f99,f86,f108]) ).
thf(f65,plain,
! [X15: a > $o,X13: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( X13 @ sK6 ) )
| ( $true
!= ( sK0 @ X13 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X13 @ sK7 ) ) ),
inference(duplicate_literal_removal,[],[f25]) ).
thf(f25,plain,
! [X15: a > $o,X13: a > $o] :
( ( $true
!= ( X13 @ sK6 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( X13 @ sK7 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X13 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X15 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f132,plain,
( spl11_3
| spl11_12
| spl11_8 ),
inference(avatar_split_clause,[],[f66,f108,f129,f86]) ).
thf(f66,plain,
! [X15: a > $o] :
( ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( $true
= ( sK9 @ sK6 ) ) ),
inference(duplicate_literal_removal,[],[f26]) ).
thf(f26,plain,
! [X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK9 @ sK6 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f127,plain,
( spl11_11
| spl11_3
| spl11_8 ),
inference(avatar_split_clause,[],[f67,f108,f86,f124]) ).
thf(f67,plain,
! [X15: a > $o] :
( ( $true
= ( sK0 @ sK9 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(duplicate_literal_removal,[],[f27]) ).
thf(f27,plain,
! [X15: a > $o] :
( ( $true
= ( sK0 @ sK4 ) )
| ( $true
= ( sK0 @ sK9 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X15 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f122,plain,
( spl11_4
| spl11_8
| spl11_3 ),
inference(avatar_split_clause,[],[f68,f86,f108,f90]) ).
thf(f68,plain,
! [X15: a > $o] :
( ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK0 @ sK8 ) )
| ( $true
!= ( sK0 @ X15 ) ) ),
inference(duplicate_literal_removal,[],[f31]) ).
thf(f31,plain,
! [X15: a > $o] :
( ( $true
= ( sK0 @ sK8 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f121,plain,
( spl11_6
| spl11_7
| spl11_3 ),
inference(avatar_split_clause,[],[f69,f86,f103,f99]) ).
thf(f69,plain,
! [X7: a > $o,X15: a > $o,X13: a > $o] :
( ( ( X7 @ sK3 )
!= $true )
| ( ( X7 @ sK2 )
!= $true )
| ( $true
!= ( X13 @ sK7 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X13 @ sK6 ) )
| ( $true
!= ( sK0 @ X13 ) )
| ( $true
!= ( sK0 @ X7 ) )
| ( $true
!= ( sK0 @ X15 ) ) ),
inference(duplicate_literal_removal,[],[f18]) ).
thf(f18,plain,
! [X7: a > $o,X15: a > $o,X13: a > $o] :
( ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X13 @ sK7 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( sK0 @ X13 ) )
| ( ( X7 @ sK3 )
!= $true )
| ( $true
!= ( X13 @ sK6 ) )
| ( $true
!= ( sK0 @ X7 ) )
| ( ( X7 @ sK2 )
!= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f120,plain,
( spl11_3
| spl11_10
| spl11_7 ),
inference(avatar_split_clause,[],[f70,f103,f117,f86]) ).
thf(f70,plain,
! [X7: a > $o,X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK8 @ sK5 ) )
| ( ( X7 @ sK3 )
!= $true )
| ( ( X7 @ sK2 )
!= $true )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X7 ) ) ),
inference(duplicate_literal_removal,[],[f23]) ).
thf(f23,plain,
! [X7: a > $o,X15: a > $o] :
( ( ( X7 @ sK3 )
!= $true )
| ( $true
= ( sK8 @ sK5 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( ( X7 @ sK2 )
!= $true )
| ( $true
!= ( sK0 @ X7 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f115,plain,
( spl11_3
| spl11_8
| spl11_9 ),
inference(avatar_split_clause,[],[f71,f112,f108,f86]) ).
thf(f71,plain,
! [X15: a > $o] :
( ( $true
= ( sK8 @ sK7 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(duplicate_literal_removal,[],[f29]) ).
thf(f29,plain,
! [X15: a > $o] :
( ( $true
= ( sK0 @ sK4 ) )
| ( $true
= ( sK8 @ sK7 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X15 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f106,plain,
( spl11_5
| spl11_3
| spl11_1 ),
inference(avatar_split_clause,[],[f72,f78,f86,f95]) ).
thf(f72,plain,
! [X15: a > $o] :
( ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK9 @ sK5 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK4 @ sK3 ) ) ),
inference(duplicate_literal_removal,[],[f35]) ).
thf(f35,plain,
! [X15: a > $o] :
( ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK4 @ sK3 ) )
| ( $true
= ( sK9 @ sK5 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f105,plain,
( spl11_7
| spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f73,f86,f78,f103]) ).
thf(f73,plain,
! [X7: a > $o,X15: a > $o] :
( ( ( X7 @ sK2 )
!= $true )
| ( $true
!= ( X15 @ sK10 ) )
| ( ( X7 @ sK3 )
!= $true )
| ( $true
= ( sK9 @ sK5 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( sK0 @ X7 ) ) ),
inference(duplicate_literal_removal,[],[f21]) ).
thf(f21,plain,
! [X7: a > $o,X15: a > $o] :
( ( $true
= ( sK9 @ sK5 ) )
| ( ( X7 @ sK3 )
!= $true )
| ( $true
!= ( sK0 @ X7 ) )
| ( ( X7 @ sK2 )
!= $true )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X15 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f101,plain,
( spl11_5
| spl11_6
| spl11_3 ),
inference(avatar_split_clause,[],[f74,f86,f99,f95]) ).
thf(f74,plain,
! [X15: a > $o,X13: a > $o] :
( ( $true
!= ( sK0 @ X13 ) )
| ( $true
= ( sK4 @ sK3 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
!= ( X13 @ sK6 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( X13 @ sK7 ) ) ),
inference(duplicate_literal_removal,[],[f32]) ).
thf(f32,plain,
! [X15: a > $o,X13: a > $o] :
( ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X13 ) )
| ( $true
!= ( X13 @ sK6 ) )
| ( $true
!= ( X13 @ sK7 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK4 @ sK3 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f93,plain,
( spl11_2
| spl11_4
| spl11_3 ),
inference(avatar_split_clause,[],[f75,f86,f90,f82]) ).
thf(f75,plain,
! [X15: a > $o] :
( ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK4 @ sK2 ) )
| ( $true
= ( sK0 @ sK8 ) ) ),
inference(duplicate_literal_removal,[],[f45]) ).
thf(f45,plain,
! [X15: a > $o] :
( ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK0 @ sK8 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK4 @ sK2 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f88,plain,
( spl11_1
| spl11_2
| spl11_3 ),
inference(avatar_split_clause,[],[f76,f86,f82,f78]) ).
thf(f76,plain,
! [X15: a > $o] :
( ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK9 @ sK5 ) )
| ( $true
= ( sK4 @ sK2 ) )
| ( $true
!= ( X15 @ sK10 ) ) ),
inference(duplicate_literal_removal,[],[f42]) ).
thf(f42,plain,
! [X15: a > $o] :
( ( $true
!= ( X15 @ sK10 ) )
| ( $true
= ( sK9 @ sK5 ) )
| ( $true
!= ( X15 @ sK10 ) )
| ( $true
!= ( sK0 @ X15 ) )
| ( $true
= ( sK4 @ sK2 ) ) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV009^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 12:25:36 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.35 This is a TH0_THM_EQU_NAR problem
% 0.20/0.36 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/tmp/tmp.LWWQTiasbg/Vampire---4.8_8630
% 0.20/0.37 % (8833)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.20/0.37 % (8828)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 Vampire---4 for (3000ds/4Mi)
% 0.20/0.37 % (8827)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.20/0.37 % (8834)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.20/0.37 % (8829)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 Vampire---4 for (3000ds/27Mi)
% 0.20/0.37 % (8833)Instruction limit reached!
% 0.20/0.37 % (8833)------------------------------
% 0.20/0.37 % (8833)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (8833)Termination reason: Unknown
% 0.20/0.37 % (8833)Termination phase: Saturation
% 0.20/0.37
% 0.20/0.37 % (8833)Memory used [KB]: 5628
% 0.20/0.37 % (8833)Time elapsed: 0.009 s
% 0.20/0.37 % (8833)Instructions burned: 18 (million)
% 0.20/0.37 % (8833)------------------------------
% 0.20/0.37 % (8833)------------------------------
% 0.20/0.38 % (8834)Instruction limit reached!
% 0.20/0.38 % (8834)------------------------------
% 0.20/0.38 % (8834)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (8834)Termination reason: Unknown
% 0.20/0.38 % (8834)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (8834)Memory used [KB]: 5500
% 0.20/0.38 % (8834)Time elapsed: 0.004 s
% 0.20/0.38 % (8834)Instructions burned: 3 (million)
% 0.20/0.38 % (8834)------------------------------
% 0.20/0.38 % (8834)------------------------------
% 0.20/0.38 % (8828)Instruction limit reached!
% 0.20/0.38 % (8828)------------------------------
% 0.20/0.38 % (8828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (8828)Termination reason: Unknown
% 0.20/0.38 % (8828)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (8828)Memory used [KB]: 5500
% 0.20/0.38 % (8828)Time elapsed: 0.005 s
% 0.20/0.38 % (8828)Instructions burned: 4 (million)
% 0.20/0.38 % (8828)------------------------------
% 0.20/0.38 % (8828)------------------------------
% 0.20/0.38 % (8831)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.20/0.38 % (8830)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.20/0.38 % (8831)Instruction limit reached!
% 0.20/0.38 % (8831)------------------------------
% 0.20/0.38 % (8831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (8832)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.20/0.38 % (8831)Termination reason: Unknown
% 0.20/0.38 % (8831)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (8831)Memory used [KB]: 1023
% 0.20/0.38 % (8831)Time elapsed: 0.003 s
% 0.20/0.38 % (8831)Instructions burned: 3 (million)
% 0.20/0.38 % (8831)------------------------------
% 0.20/0.38 % (8831)------------------------------
% 0.20/0.38 % (8830)Instruction limit reached!
% 0.20/0.38 % (8830)------------------------------
% 0.20/0.38 % (8830)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (8830)Termination reason: Unknown
% 0.20/0.38 % (8830)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (8830)Memory used [KB]: 1023
% 0.20/0.38 % (8830)Time elapsed: 0.003 s
% 0.20/0.38 % (8830)Instructions burned: 3 (million)
% 0.20/0.38 % (8830)------------------------------
% 0.20/0.38 % (8830)------------------------------
% 0.20/0.38 % (8835)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.20/0.39 % (8829)First to succeed.
% 0.20/0.39 % (8836)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.20/0.39 % (8837)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.20/0.39 % (8829)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Theorem for Vampire---4
% 0.20/0.39 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.39 % (8829)------------------------------
% 0.20/0.39 % (8829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (8829)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (8829)Memory used [KB]: 5756
% 0.20/0.39 % (8829)Time elapsed: 0.019 s
% 0.20/0.39 % (8829)Instructions burned: 17 (million)
% 0.20/0.39 % (8829)------------------------------
% 0.20/0.39 % (8829)------------------------------
% 0.20/0.39 % (8826)Success in time 0.03 s
% 0.20/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------