TSTP Solution File: SEV009^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV009^5 : 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 : n011.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 04:11:40 EDT 2024
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 36
% Syntax : Number of formulae : 169 ( 7 unt; 15 typ; 0 def)
% Number of atoms : 1714 ( 602 equ; 0 cnn)
% Maximal formula atoms : 46 ( 11 avg)
% Number of connectives : 1789 ( 431 ~; 489 |; 178 &; 655 @)
% ( 12 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 ).
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 > $o ).
thf(func_def_11,type,
sK6: a ).
thf(func_def_12,type,
sK7: a ).
thf(func_def_13,type,
sK8: a ).
thf(func_def_14,type,
sK9: a > $o ).
thf(func_def_15,type,
sK10: a > a > $o ).
thf(func_def_17,type,
ph12:
!>[X0: $tType] : X0 ).
thf(f291,plain,
$false,
inference(avatar_sat_refutation,[],[f87,f96,f100,f105,f110,f111,f116,f117,f118,f123,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f154,f162,f288]) ).
thf(f288,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f287]) ).
thf(f287,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(trivial_inequality_removal,[],[f283]) ).
thf(f283,plain,
( ( $false = $true )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f109,f263]) ).
thf(f263,plain,
( ( $false
= ( sK5 @ sK2 ) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(trivial_inequality_removal,[],[f260]) ).
thf(f260,plain,
( ( $false
= ( sK5 @ sK2 ) )
| ( $true != $true )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(superposition,[],[f208,f235]) ).
thf(f235,plain,
( ! [X1: a] :
( ( $true
= ( sK4 @ X1 ) )
| ( $false
= ( sK5 @ X1 ) ) )
| ~ spl11_2
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(binary_proxy_clausification,[],[f234]) ).
thf(f234,plain,
( ! [X1: a] :
( ( sK4 @ X1 )
= ( sK5 @ X1 ) )
| ~ spl11_2
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(argument_congruence,[],[f229]) ).
thf(f229,plain,
( ( sK4 = sK5 )
| ~ spl11_2
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f227,f219]) ).
thf(f219,plain,
( ( sK4
= ( sK10 @ sK3 ) )
| ~ spl11_9
| ~ spl11_11 ),
inference(trivial_inequality_removal,[],[f218]) ).
thf(f218,plain,
( ( sK4
= ( sK10 @ sK3 ) )
| ( $true != $true )
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f214,f115]) ).
thf(f115,plain,
( ( $true
= ( sK4 @ sK3 ) )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f113]) ).
thf(f113,plain,
( spl11_9
<=> ( $true
= ( sK4 @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
thf(f214,plain,
( ! [X0: a] :
( ( $true
!= ( sK4 @ X0 ) )
| ( sK4
= ( sK10 @ X0 ) ) )
| ~ spl11_11 ),
inference(trivial_inequality_removal,[],[f209]) ).
thf(f209,plain,
( ! [X0: a] :
( ( sK4
= ( sK10 @ X0 ) )
| ( $true
!= ( sK4 @ X0 ) )
| ( $true != $true ) )
| ~ spl11_11 ),
inference(superposition,[],[f18,f127]) ).
thf(f127,plain,
( ( $true
= ( sK0 @ sK4 ) )
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f125]) ).
thf(f125,plain,
( spl11_11
<=> ( $true
= ( sK0 @ sK4 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
thf(f18,plain,
! [X15: a > $o,X13: a] :
( ( ( sK0 @ X15 )
!= $true )
| ( $true
!= ( X15 @ X13 ) )
| ( ( sK10 @ X13 )
= X15 ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f17,plain,
( ( ( ( $true
= ( sK0 @ sK4 ) )
& ( $true
= ( sK4 @ sK1 ) )
& ( $true
= ( sK4 @ sK3 ) )
& ( ( sK0 @ sK5 )
= $true )
& ( $true
= ( sK5 @ sK3 ) )
& ( $true
= ( sK5 @ sK2 ) )
& ! [X6: a > $o] :
( ( $true
!= ( X6 @ sK1 ) )
| ( $true
!= ( sK0 @ X6 ) )
| ( $true
!= ( X6 @ sK2 ) ) ) )
| ! [X8: a > $o] :
( ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( X8 @ sK6 ) ) )
| ( ! [X11: a > $o] :
( ( ( X11 @ sK8 )
!= $true )
| ( $true
!= ( X11 @ sK7 ) )
| ( ( sK0 @ X11 )
!= $true ) )
& ( $true
= ( sK9 @ sK7 ) )
& ( ( sK0 @ sK9 )
= $true )
& ( ( sK9 @ sK8 )
= $true ) ) )
& ! [X13: a] :
( ( $true
= ( sK10 @ X13 @ X13 ) )
& ( $true
= ( sK0 @ ( sK10 @ X13 ) ) )
& ! [X15: a > $o] :
( ( $true
!= ( X15 @ X13 ) )
| ( ( sK0 @ X15 )
!= $true )
| ( ( sK10 @ X13 )
= X15 ) ) ) ),
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,X3: a] :
( ? [X4: a > $o] :
( ( ( X0 @ X4 )
= $true )
& ( ( X4 @ X1 )
= $true )
& ( ( X4 @ X3 )
= $true ) )
& ? [X5: a > $o] :
( ( $true
= ( X0 @ X5 ) )
& ( $true
= ( X5 @ X3 ) )
& ( ( X5 @ X2 )
= $true ) )
& ! [X6: a > $o] :
( ( $true
!= ( X6 @ X1 ) )
| ( $true
!= ( X0 @ X6 ) )
| ( ( X6 @ X2 )
!= $true ) ) )
| ? [X7: a] :
! [X8: a > $o] :
( ( $true
!= ( X0 @ X8 ) )
| ( ( X8 @ X7 )
!= $true )
| ( ( X8 @ X7 )
!= $true ) )
| ? [X9: a,X10: a] :
( ! [X11: a > $o] :
( ( $true
!= ( X11 @ X10 ) )
| ( $true
!= ( X11 @ X9 ) )
| ( $true
!= ( X0 @ X11 ) ) )
& ? [X12: a > $o] :
( ( $true
= ( X12 @ X9 ) )
& ( $true
= ( X0 @ X12 ) )
& ( $true
= ( X12 @ X10 ) ) ) ) )
& ! [X13: a] :
? [X14: a > $o] :
( ( ( X14 @ X13 )
= $true )
& ( $true
= ( X0 @ X14 ) )
& ! [X15: a > $o] :
( ( $true
!= ( X15 @ X13 ) )
| ( $true
!= ( X0 @ X15 ) )
| ( X14 = X15 ) ) ) )
=> ( ( ? [X3: a,X2: a,X1: a] :
( ? [X4: a > $o] :
( ( ( sK0 @ X4 )
= $true )
& ( ( X4 @ X1 )
= $true )
& ( ( X4 @ X3 )
= $true ) )
& ? [X5: a > $o] :
( ( ( sK0 @ X5 )
= $true )
& ( $true
= ( X5 @ X3 ) )
& ( ( X5 @ X2 )
= $true ) )
& ! [X6: a > $o] :
( ( $true
!= ( X6 @ X1 ) )
| ( $true
!= ( sK0 @ X6 ) )
| ( ( X6 @ X2 )
!= $true ) ) )
| ? [X7: a] :
! [X8: a > $o] :
( ( $true
!= ( sK0 @ X8 ) )
| ( ( X8 @ X7 )
!= $true )
| ( ( X8 @ X7 )
!= $true ) )
| ? [X10: a,X9: a] :
( ! [X11: a > $o] :
( ( $true
!= ( X11 @ X10 ) )
| ( $true
!= ( X11 @ X9 ) )
| ( ( sK0 @ X11 )
!= $true ) )
& ? [X12: a > $o] :
( ( $true
= ( X12 @ X9 ) )
& ( $true
= ( sK0 @ X12 ) )
& ( $true
= ( X12 @ X10 ) ) ) ) )
& ! [X13: a] :
? [X14: a > $o] :
( ( ( X14 @ X13 )
= $true )
& ( $true
= ( sK0 @ X14 ) )
& ! [X15: a > $o] :
( ( $true
!= ( X15 @ X13 ) )
| ( ( sK0 @ X15 )
!= $true )
| ( X14 = X15 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
( ? [X3: a,X2: a,X1: a] :
( ? [X4: a > $o] :
( ( ( sK0 @ X4 )
= $true )
& ( ( X4 @ X1 )
= $true )
& ( ( X4 @ X3 )
= $true ) )
& ? [X5: a > $o] :
( ( ( sK0 @ X5 )
= $true )
& ( $true
= ( X5 @ X3 ) )
& ( ( X5 @ X2 )
= $true ) )
& ! [X6: a > $o] :
( ( $true
!= ( X6 @ X1 ) )
| ( $true
!= ( sK0 @ X6 ) )
| ( ( X6 @ X2 )
!= $true ) ) )
=> ( ? [X4: a > $o] :
( ( ( sK0 @ X4 )
= $true )
& ( $true
= ( X4 @ sK1 ) )
& ( $true
= ( X4 @ sK3 ) ) )
& ? [X5: a > $o] :
( ( ( sK0 @ X5 )
= $true )
& ( $true
= ( X5 @ sK3 ) )
& ( $true
= ( X5 @ sK2 ) ) )
& ! [X6: a > $o] :
( ( $true
!= ( X6 @ sK1 ) )
| ( $true
!= ( sK0 @ X6 ) )
| ( $true
!= ( X6 @ sK2 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X4: a > $o] :
( ( ( sK0 @ X4 )
= $true )
& ( $true
= ( X4 @ sK1 ) )
& ( $true
= ( X4 @ sK3 ) ) )
=> ( ( $true
= ( sK0 @ sK4 ) )
& ( $true
= ( sK4 @ sK1 ) )
& ( $true
= ( sK4 @ sK3 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
( ? [X5: a > $o] :
( ( ( sK0 @ X5 )
= $true )
& ( $true
= ( X5 @ sK3 ) )
& ( $true
= ( X5 @ sK2 ) ) )
=> ( ( ( sK0 @ sK5 )
= $true )
& ( $true
= ( sK5 @ sK3 ) )
& ( $true
= ( sK5 @ sK2 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
( ? [X7: a] :
! [X8: a > $o] :
( ( $true
!= ( sK0 @ X8 ) )
| ( ( X8 @ X7 )
!= $true )
| ( ( X8 @ X7 )
!= $true ) )
=> ! [X8: a > $o] :
( ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( X8 @ sK6 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f14,plain,
( ? [X10: a,X9: a] :
( ! [X11: a > $o] :
( ( $true
!= ( X11 @ X10 ) )
| ( $true
!= ( X11 @ X9 ) )
| ( ( sK0 @ X11 )
!= $true ) )
& ? [X12: a > $o] :
( ( $true
= ( X12 @ X9 ) )
& ( $true
= ( sK0 @ X12 ) )
& ( $true
= ( X12 @ X10 ) ) ) )
=> ( ! [X11: a > $o] :
( ( ( X11 @ sK8 )
!= $true )
| ( $true
!= ( X11 @ sK7 ) )
| ( ( sK0 @ X11 )
!= $true ) )
& ? [X12: a > $o] :
( ( $true
= ( X12 @ sK7 ) )
& ( $true
= ( sK0 @ X12 ) )
& ( $true
= ( X12 @ sK8 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f15,plain,
( ? [X12: a > $o] :
( ( $true
= ( X12 @ sK7 ) )
& ( $true
= ( sK0 @ X12 ) )
& ( $true
= ( X12 @ sK8 ) ) )
=> ( ( $true
= ( sK9 @ sK7 ) )
& ( ( sK0 @ sK9 )
= $true )
& ( ( sK9 @ sK8 )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f16,plain,
! [X13: a] :
( ? [X14: a > $o] :
( ( ( X14 @ X13 )
= $true )
& ( $true
= ( sK0 @ X14 ) )
& ! [X15: a > $o] :
( ( $true
!= ( X15 @ X13 ) )
| ( ( sK0 @ X15 )
!= $true )
| ( X14 = X15 ) ) )
=> ( ( $true
= ( sK10 @ X13 @ X13 ) )
& ( $true
= ( sK0 @ ( sK10 @ X13 ) ) )
& ! [X15: a > $o] :
( ( $true
!= ( X15 @ X13 ) )
| ( ( sK0 @ X15 )
!= $true )
| ( ( sK10 @ X13 )
= X15 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: ( a > $o ) > $o] :
( ( ? [X1: a,X2: a,X3: a] :
( ? [X4: a > $o] :
( ( ( X0 @ X4 )
= $true )
& ( ( X4 @ X1 )
= $true )
& ( ( X4 @ X3 )
= $true ) )
& ? [X5: a > $o] :
( ( $true
= ( X0 @ X5 ) )
& ( $true
= ( X5 @ X3 ) )
& ( ( X5 @ X2 )
= $true ) )
& ! [X6: a > $o] :
( ( $true
!= ( X6 @ X1 ) )
| ( $true
!= ( X0 @ X6 ) )
| ( ( X6 @ X2 )
!= $true ) ) )
| ? [X7: a] :
! [X8: a > $o] :
( ( $true
!= ( X0 @ X8 ) )
| ( ( X8 @ X7 )
!= $true )
| ( ( X8 @ X7 )
!= $true ) )
| ? [X9: a,X10: a] :
( ! [X11: a > $o] :
( ( $true
!= ( X11 @ X10 ) )
| ( $true
!= ( X11 @ X9 ) )
| ( $true
!= ( X0 @ X11 ) ) )
& ? [X12: a > $o] :
( ( $true
= ( X12 @ X9 ) )
& ( $true
= ( X0 @ X12 ) )
& ( $true
= ( X12 @ X10 ) ) ) ) )
& ! [X13: a] :
? [X14: a > $o] :
( ( ( X14 @ X13 )
= $true )
& ( $true
= ( X0 @ X14 ) )
& ! [X15: a > $o] :
( ( $true
!= ( X15 @ X13 ) )
| ( $true
!= ( X0 @ X15 ) )
| ( X14 = X15 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X0: ( a > $o ) > $o] :
( ( ? [X4: a,X5: a,X6: a] :
( ? [X7: a > $o] :
( ( $true
= ( X0 @ X7 ) )
& ( $true
= ( X7 @ X4 ) )
& ( $true
= ( X7 @ X6 ) ) )
& ? [X8: a > $o] :
( ( $true
= ( X0 @ X8 ) )
& ( $true
= ( X8 @ X6 ) )
& ( $true
= ( X8 @ X5 ) ) )
& ! [X9: a > $o] :
( ( ( X9 @ X4 )
!= $true )
| ( $true
!= ( X0 @ X9 ) )
| ( $true
!= ( X9 @ X5 ) ) ) )
| ? [X14: a] :
! [X15: a > $o] :
( ( $true
!= ( X0 @ X15 ) )
| ( $true
!= ( X15 @ X14 ) )
| ( $true
!= ( X15 @ X14 ) ) )
| ? [X10: a,X11: a] :
( ! [X13: a > $o] :
( ( $true
!= ( X13 @ X11 ) )
| ( ( X13 @ X10 )
!= $true )
| ( $true
!= ( X0 @ X13 ) ) )
& ? [X12: a > $o] :
( ( $true
= ( X12 @ X10 ) )
& ( $true
= ( X0 @ X12 ) )
& ( ( X12 @ X11 )
= $true ) ) ) )
& ! [X1: a] :
? [X2: a > $o] :
( ( ( X2 @ X1 )
= $true )
& ( ( X0 @ X2 )
= $true )
& ! [X3: a > $o] :
( ( ( X3 @ X1 )
!= $true )
| ( ( X0 @ X3 )
!= $true )
| ( X2 = X3 ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X0: ( a > $o ) > $o] :
( ( ? [X14: a] :
! [X15: a > $o] :
( ( $true
!= ( X0 @ X15 ) )
| ( $true
!= ( X15 @ X14 ) )
| ( $true
!= ( X15 @ X14 ) ) )
| ? [X5: a,X4: a,X6: a] :
( ! [X9: a > $o] :
( ( ( X9 @ X4 )
!= $true )
| ( $true
!= ( X0 @ X9 ) )
| ( $true
!= ( X9 @ X5 ) ) )
& ? [X7: a > $o] :
( ( $true
= ( X0 @ X7 ) )
& ( $true
= ( X7 @ X4 ) )
& ( $true
= ( X7 @ X6 ) ) )
& ? [X8: a > $o] :
( ( $true
= ( X0 @ X8 ) )
& ( $true
= ( X8 @ X6 ) )
& ( $true
= ( X8 @ X5 ) ) ) )
| ? [X10: a,X11: a] :
( ! [X13: a > $o] :
( ( $true
!= ( X13 @ X11 ) )
| ( ( X13 @ X10 )
!= $true )
| ( $true
!= ( X0 @ X13 ) ) )
& ? [X12: a > $o] :
( ( $true
= ( X12 @ X10 ) )
& ( $true
= ( X0 @ X12 ) )
& ( ( X12 @ X11 )
= $true ) ) ) )
& ! [X1: a] :
? [X2: a > $o] :
( ( ( X0 @ X2 )
= $true )
& ( ( X2 @ X1 )
= $true )
& ! [X3: a > $o] :
( ( X2 = X3 )
| ( ( X0 @ X3 )
!= $true )
| ( ( X3 @ X1 )
!= $true ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ( ( X0 @ X2 )
= $true )
& ( ( X2 @ X1 )
= $true )
& ! [X3: a > $o] :
( ( ( ( X0 @ X3 )
= $true )
& ( ( X3 @ X1 )
= $true ) )
=> ( X2 = X3 ) ) )
=> ( ! [X14: a] :
? [X15: a > $o] :
( ( $true
= ( X0 @ X15 ) )
& ( $true
= ( X15 @ X14 ) )
& ( $true
= ( X15 @ X14 ) ) )
& ! [X5: a,X4: a,X6: a] :
( ( ? [X7: a > $o] :
( ( $true
= ( X0 @ X7 ) )
& ( $true
= ( X7 @ X4 ) )
& ( $true
= ( X7 @ X6 ) ) )
& ? [X8: a > $o] :
( ( $true
= ( X0 @ X8 ) )
& ( $true
= ( X8 @ X6 ) )
& ( $true
= ( X8 @ X5 ) ) ) )
=> ? [X9: a > $o] :
( ( ( X9 @ X4 )
= $true )
& ( $true
= ( X0 @ X9 ) )
& ( $true
= ( X9 @ X5 ) ) ) )
& ! [X11: a,X10: a] :
( ? [X12: a > $o] :
( ( $true
= ( X12 @ X10 ) )
& ( $true
= ( X0 @ X12 ) )
& ( ( X12 @ X11 )
= $true ) )
=> ? [X13: a > $o] :
( ( ( X13 @ X10 )
= $true )
& ( $true
= ( X13 @ X11 ) )
& ( $true
= ( X0 @ X13 ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ( X0 @ X2 )
& ( X2 @ X1 )
& ! [X3: a > $o] :
( ( ( X3 @ X1 )
& ( X0 @ X3 ) )
=> ( X2 = X3 ) ) )
=> ( ! [X4: a,X5: a,X6: a] :
( ( ? [X7: a > $o] :
( ( X7 @ X4 )
& ( X7 @ X6 )
& ( X0 @ X7 ) )
& ? [X8: a > $o] :
( ( X0 @ X8 )
& ( X8 @ X5 )
& ( X8 @ X6 ) ) )
=> ? [X9: a > $o] :
( ( X9 @ X5 )
& ( X9 @ X4 )
& ( X0 @ X9 ) ) )
& ! [X10: a,X11: a] :
( ? [X12: a > $o] :
( ( X12 @ X11 )
& ( X12 @ X10 )
& ( X0 @ X12 ) )
=> ? [X13: a > $o] :
( ( X0 @ X13 )
& ( X13 @ X10 )
& ( X13 @ X11 ) ) )
& ! [X14: a] :
? [X15: a > $o] :
( ( X15 @ X14 )
& ( X15 @ X14 )
& ( X0 @ X15 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ( X0 @ X2 )
& ( X2 @ X1 )
& ! [X3: a > $o] :
( ( ( X3 @ X1 )
& ( X0 @ X3 ) )
=> ( X2 = X3 ) ) )
=> ( ! [X6: a,X1: a,X5: a] :
( ( ? [X4: a > $o] :
( ( X4 @ X6 )
& ( X4 @ X5 )
& ( X0 @ X4 ) )
& ? [X4: a > $o] :
( ( X0 @ X4 )
& ( X4 @ X1 )
& ( X4 @ X5 ) ) )
=> ? [X4: a > $o] :
( ( X4 @ X1 )
& ( X4 @ X6 )
& ( X0 @ X4 ) ) )
& ! [X1: a,X5: a] :
( ? [X4: a > $o] :
( ( X4 @ X5 )
& ( X4 @ X1 )
& ( X0 @ X4 ) )
=> ? [X4: a > $o] :
( ( X0 @ X4 )
& ( X4 @ X1 )
& ( X4 @ X5 ) ) )
& ! [X1: a] :
? [X4: a > $o] :
( ( X4 @ X1 )
& ( X4 @ X1 )
& ( X0 @ X4 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: ( a > $o ) > $o] :
( ! [X1: a] :
? [X2: a > $o] :
( ( X0 @ X2 )
& ( X2 @ X1 )
& ! [X3: a > $o] :
( ( ( X3 @ X1 )
& ( X0 @ X3 ) )
=> ( X2 = X3 ) ) )
=> ( ! [X6: a,X1: a,X5: a] :
( ( ? [X4: a > $o] :
( ( X4 @ X6 )
& ( X4 @ X5 )
& ( X0 @ X4 ) )
& ? [X4: a > $o] :
( ( X0 @ X4 )
& ( X4 @ X1 )
& ( X4 @ X5 ) ) )
=> ? [X4: a > $o] :
( ( X4 @ X1 )
& ( X4 @ X6 )
& ( X0 @ X4 ) ) )
& ! [X1: a,X5: a] :
( ? [X4: a > $o] :
( ( X4 @ X5 )
& ( X4 @ X1 )
& ( X0 @ X4 ) )
=> ? [X4: a > $o] :
( ( X0 @ X4 )
& ( X4 @ X1 )
& ( X4 @ X5 ) ) )
& ! [X1: a] :
? [X4: a > $o] :
( ( X4 @ X1 )
& ( X4 @ X1 )
& ( X0 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM261_B_pme) ).
thf(f227,plain,
( ( sK5
= ( sK10 @ sK3 ) )
| ~ spl11_2
| ~ spl11_10 ),
inference(trivial_inequality_removal,[],[f226]) ).
thf(f226,plain,
( ( sK5
= ( sK10 @ sK3 ) )
| ( $true != $true )
| ~ spl11_2
| ~ spl11_10 ),
inference(superposition,[],[f215,f122]) ).
thf(f122,plain,
( ( $true
= ( sK5 @ sK3 ) )
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f120]) ).
thf(f120,plain,
( spl11_10
<=> ( $true
= ( sK5 @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
thf(f215,plain,
( ! [X0: a] :
( ( $true
!= ( sK5 @ X0 ) )
| ( ( sK10 @ X0 )
= sK5 ) )
| ~ spl11_2 ),
inference(trivial_inequality_removal,[],[f210]) ).
thf(f210,plain,
( ! [X0: a] :
( ( $true
!= ( sK5 @ X0 ) )
| ( ( sK10 @ X0 )
= sK5 )
| ( $true != $true ) )
| ~ spl11_2 ),
inference(superposition,[],[f18,f83]) ).
thf(f83,plain,
( ( ( sK0 @ sK5 )
= $true )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f81]) ).
thf(f81,plain,
( spl11_2
<=> ( ( sK0 @ sK5 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
thf(f208,plain,
( ( $true
!= ( sK4 @ sK2 ) )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_11 ),
inference(trivial_inequality_removal,[],[f207]) ).
thf(f207,plain,
( ( $true
!= ( sK4 @ sK2 ) )
| ( $true != $true )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f189,f91]) ).
thf(f91,plain,
( ( $true
= ( sK4 @ sK1 ) )
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f89]) ).
thf(f89,plain,
( spl11_4
<=> ( $true
= ( sK4 @ sK1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
thf(f189,plain,
( ( $true
!= ( sK4 @ sK2 ) )
| ( $true
!= ( sK4 @ sK1 ) )
| ~ spl11_6
| ~ spl11_11 ),
inference(trivial_inequality_removal,[],[f185]) ).
thf(f185,plain,
( ( $true != $true )
| ( $true
!= ( sK4 @ sK1 ) )
| ( $true
!= ( sK4 @ sK2 ) )
| ~ spl11_6
| ~ spl11_11 ),
inference(superposition,[],[f99,f127]) ).
thf(f99,plain,
( ! [X6: a > $o] :
( ( $true
!= ( sK0 @ X6 ) )
| ( $true
!= ( X6 @ sK1 ) )
| ( $true
!= ( X6 @ sK2 ) ) )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f98]) ).
thf(f98,plain,
( spl11_6
<=> ! [X6: a > $o] :
( ( $true
!= ( sK0 @ X6 ) )
| ( $true
!= ( X6 @ sK2 ) )
| ( $true
!= ( X6 @ sK1 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
thf(f109,plain,
( ( $true
= ( sK5 @ sK2 ) )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f107]) ).
thf(f107,plain,
( spl11_8
<=> ( $true
= ( sK5 @ sK2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
thf(f162,plain,
( ~ spl11_12
| ~ spl11_5
| ~ spl11_1
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f158,f102,f78,f93,f129]) ).
thf(f129,plain,
( spl11_12
<=> ( $true
= ( sK9 @ sK7 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
thf(f93,plain,
( spl11_5
<=> ( ( sK9 @ sK8 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
thf(f78,plain,
( spl11_1
<=> ! [X11: a > $o] :
( ( ( sK0 @ X11 )
!= $true )
| ( $true
!= ( X11 @ sK7 ) )
| ( ( X11 @ sK8 )
!= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
thf(f102,plain,
( spl11_7
<=> ( ( sK0 @ sK9 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
thf(f158,plain,
( ( $true
!= ( sK9 @ sK7 ) )
| ( ( sK9 @ sK8 )
!= $true )
| ~ spl11_1
| ~ spl11_7 ),
inference(trivial_inequality_removal,[],[f155]) ).
thf(f155,plain,
( ( ( sK9 @ sK8 )
!= $true )
| ( $true
!= ( sK9 @ sK7 ) )
| ( $true != $true )
| ~ spl11_1
| ~ spl11_7 ),
inference(superposition,[],[f79,f104]) ).
thf(f104,plain,
( ( ( sK0 @ sK9 )
= $true )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f79,plain,
( ! [X11: a > $o] :
( ( ( sK0 @ X11 )
!= $true )
| ( $true
!= ( X11 @ sK7 ) )
| ( ( X11 @ sK8 )
!= $true ) )
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f78]) ).
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,f20]) ).
thf(f20,plain,
! [X13: a] :
( $true
= ( sK10 @ X13 @ X13 ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f151,plain,
( ! [X0: a] :
( $true
!= ( sK10 @ X0 @ sK6 ) )
| ~ spl11_3 ),
inference(trivial_inequality_removal,[],[f150]) ).
thf(f150,plain,
( ! [X0: a] :
( ( $true
!= ( sK10 @ X0 @ sK6 ) )
| ( $true != $true ) )
| ~ spl11_3 ),
inference(superposition,[],[f86,f19]) ).
thf(f19,plain,
! [X13: a] :
( $true
= ( sK0 @ ( sK10 @ X13 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f86,plain,
( ! [X8: a > $o] :
( ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) ) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f85]) ).
thf(f85,plain,
( spl11_3
<=> ! [X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( sK0 @ X8 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
thf(f149,plain,
( spl11_1
| spl11_10
| spl11_3 ),
inference(avatar_split_clause,[],[f49,f85,f120,f78]) ).
thf(f49,plain,
! [X11: a > $o,X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( $true
= ( sK5 @ sK3 ) )
| ( ( sK0 @ X11 )
!= $true )
| ( ( X11 @ sK8 )
!= $true )
| ( $true
!= ( X11 @ sK7 ) )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(duplicate_literal_removal,[],[f32]) ).
thf(f32,plain,
! [X11: a > $o,X8: a > $o] :
( ( $true
!= ( X11 @ sK7 ) )
| ( $true
= ( sK5 @ sK3 ) )
| ( ( X11 @ sK8 )
!= $true )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( ( sK0 @ X11 )
!= $true )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f148,plain,
( spl11_2
| spl11_12
| spl11_3 ),
inference(avatar_split_clause,[],[f50,f85,f129,f81]) ).
thf(f50,plain,
! [X8: a > $o] :
( ( $true
= ( sK9 @ sK7 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( sK0 @ sK5 )
= $true )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(duplicate_literal_removal,[],[f35]) ).
thf(f35,plain,
! [X8: a > $o] :
( ( $true
!= ( sK0 @ X8 ) )
| ( $true
= ( sK9 @ sK7 ) )
| ( ( sK0 @ sK5 )
= $true )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f147,plain,
( spl11_12
| spl11_8
| spl11_3 ),
inference(avatar_split_clause,[],[f51,f85,f107,f129]) ).
thf(f51,plain,
! [X8: a > $o] :
( ( $true
= ( sK5 @ sK2 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
= ( sK9 @ sK7 ) )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(duplicate_literal_removal,[],[f27]) ).
thf(f27,plain,
! [X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( $true
= ( sK5 @ sK2 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
= ( sK9 @ sK7 ) )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f146,plain,
( spl11_3
| spl11_9
| spl11_12 ),
inference(avatar_split_clause,[],[f52,f129,f113,f85]) ).
thf(f52,plain,
! [X8: a > $o] :
( ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
= ( sK9 @ sK7 ) )
| ( $true
= ( sK4 @ sK3 ) ) ),
inference(duplicate_literal_removal,[],[f39]) ).
thf(f39,plain,
! [X8: a > $o] :
( ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
= ( sK4 @ sK3 ) )
| ( $true
= ( sK9 @ sK7 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f145,plain,
( spl11_3
| spl11_11
| spl11_7 ),
inference(avatar_split_clause,[],[f53,f102,f125,f85]) ).
thf(f53,plain,
! [X8: a > $o] :
( ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( sK0 @ sK9 )
= $true )
| ( $true
= ( sK0 @ sK4 ) ) ),
inference(duplicate_literal_removal,[],[f46]) ).
thf(f46,plain,
! [X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( sK0 @ sK9 )
= $true )
| ( $true
= ( sK0 @ sK4 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f144,plain,
( spl11_12
| spl11_3
| spl11_6 ),
inference(avatar_split_clause,[],[f54,f98,f85,f129]) ).
thf(f54,plain,
! [X8: a > $o,X6: a > $o] :
( ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X6 @ sK2 ) )
| ( $true
= ( sK9 @ sK7 ) )
| ( $true
!= ( X6 @ sK1 ) )
| ( $true
!= ( sK0 @ X6 ) )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(duplicate_literal_removal,[],[f23]) ).
thf(f23,plain,
! [X8: a > $o,X6: a > $o] :
( ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X6 @ sK1 ) )
| ( $true
!= ( sK0 @ X6 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( X6 @ sK2 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
= ( sK9 @ sK7 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f143,plain,
( spl11_9
| spl11_5
| spl11_3 ),
inference(avatar_split_clause,[],[f55,f85,f93,f113]) ).
thf(f55,plain,
! [X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( $true
= ( sK4 @ sK3 ) )
| ( ( sK9 @ sK8 )
= $true )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(duplicate_literal_removal,[],[f37]) ).
thf(f37,plain,
! [X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( $true
= ( sK4 @ sK3 ) )
| ( ( sK9 @ sK8 )
= $true )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f142,plain,
( spl11_4
| spl11_3
| spl11_12 ),
inference(avatar_split_clause,[],[f56,f129,f85,f89]) ).
thf(f56,plain,
! [X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( $true
= ( sK9 @ sK7 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
= ( sK4 @ sK1 ) ) ),
inference(duplicate_literal_removal,[],[f43]) ).
thf(f43,plain,
! [X8: a > $o] :
( ( $true
= ( sK9 @ sK7 ) )
| ( $true
= ( sK4 @ sK1 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f141,plain,
( spl11_1
| spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f57,f89,f85,f78]) ).
thf(f57,plain,
! [X11: a > $o,X8: a > $o] :
( ( ( sK0 @ X11 )
!= $true )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
= ( sK4 @ sK1 ) )
| ( $true
!= ( X11 @ sK7 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( ( X11 @ sK8 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f44]) ).
thf(f44,plain,
! [X11: a > $o,X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( X11 @ sK7 ) )
| ( ( sK0 @ X11 )
!= $true )
| ( $true
= ( sK4 @ sK1 ) )
| ( ( X11 @ sK8 )
!= $true )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f140,plain,
( spl11_12
| spl11_10
| spl11_3 ),
inference(avatar_split_clause,[],[f58,f85,f120,f129]) ).
thf(f58,plain,
! [X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
= ( sK5 @ sK3 ) )
| ( $true
= ( sK9 @ sK7 ) ) ),
inference(duplicate_literal_removal,[],[f31]) ).
thf(f31,plain,
! [X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
= ( sK9 @ sK7 ) )
| ( $true
= ( sK5 @ sK3 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f139,plain,
( spl11_3
| spl11_8
| spl11_5 ),
inference(avatar_split_clause,[],[f59,f93,f107,f85]) ).
thf(f59,plain,
! [X8: a > $o] :
( ( ( sK9 @ sK8 )
= $true )
| ( $true
= ( sK5 @ sK2 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(duplicate_literal_removal,[],[f25]) ).
thf(f25,plain,
! [X8: a > $o] :
( ( ( sK9 @ sK8 )
= $true )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
= ( sK5 @ sK2 ) )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f138,plain,
( spl11_5
| spl11_6
| spl11_3 ),
inference(avatar_split_clause,[],[f60,f85,f98,f93]) ).
thf(f60,plain,
! [X8: a > $o,X6: a > $o] :
( ( $true
!= ( sK0 @ X6 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( sK9 @ sK8 )
= $true )
| ( $true
!= ( X6 @ sK1 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X6 @ sK2 ) ) ),
inference(duplicate_literal_removal,[],[f21]) ).
thf(f21,plain,
! [X8: a > $o,X6: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( sK0 @ X6 ) )
| ( $true
!= ( X6 @ sK2 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X6 @ sK1 ) )
| ( ( sK9 @ sK8 )
= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f137,plain,
( spl11_3
| spl11_5
| spl11_10 ),
inference(avatar_split_clause,[],[f61,f120,f93,f85]) ).
thf(f61,plain,
! [X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( $true
= ( sK5 @ sK3 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( ( sK9 @ sK8 )
= $true ) ),
inference(duplicate_literal_removal,[],[f29]) ).
thf(f29,plain,
! [X8: a > $o] :
( ( $true
= ( sK5 @ sK3 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( sK9 @ sK8 )
= $true )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f136,plain,
( spl11_11
| spl11_3
| spl11_1 ),
inference(avatar_split_clause,[],[f62,f78,f85,f125]) ).
thf(f62,plain,
! [X11: a > $o,X8: a > $o] :
( ( ( X11 @ sK8 )
!= $true )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( sK0 @ X11 )
!= $true )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X11 @ sK7 ) )
| ( $true
= ( sK0 @ sK4 ) ) ),
inference(duplicate_literal_removal,[],[f48]) ).
thf(f48,plain,
! [X11: a > $o,X8: a > $o] :
( ( ( sK0 @ X11 )
!= $true )
| ( $true
!= ( X11 @ sK7 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( X11 @ sK8 )
!= $true )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f135,plain,
( spl11_2
| spl11_3
| spl11_5 ),
inference(avatar_split_clause,[],[f63,f93,f85,f81]) ).
thf(f63,plain,
! [X8: a > $o] :
( ( ( sK9 @ sK8 )
= $true )
| ( $true
!= ( sK0 @ X8 ) )
| ( ( sK0 @ sK5 )
= $true )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(duplicate_literal_removal,[],[f33]) ).
thf(f33,plain,
! [X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( ( sK9 @ sK8 )
= $true )
| ( $true
!= ( sK0 @ X8 ) )
| ( ( sK0 @ sK5 )
= $true )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f134,plain,
( spl11_11
| spl11_5
| spl11_3 ),
inference(avatar_split_clause,[],[f64,f85,f93,f125]) ).
thf(f64,plain,
! [X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( ( sK9 @ sK8 )
= $true )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(duplicate_literal_removal,[],[f45]) ).
thf(f45,plain,
! [X8: a > $o] :
( ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( sK9 @ sK8 )
= $true )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f133,plain,
( spl11_3
| spl11_7
| spl11_4 ),
inference(avatar_split_clause,[],[f65,f89,f102,f85]) ).
thf(f65,plain,
! [X8: a > $o] :
( ( $true
= ( sK4 @ sK1 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( ( sK0 @ sK9 )
= $true ) ),
inference(duplicate_literal_removal,[],[f42]) ).
thf(f42,plain,
! [X8: a > $o] :
( ( $true
= ( sK4 @ sK1 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( sK0 @ sK9 )
= $true )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f132,plain,
( spl11_11
| spl11_12
| spl11_3 ),
inference(avatar_split_clause,[],[f66,f85,f129,f125]) ).
thf(f66,plain,
! [X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( $true
= ( sK9 @ sK7 ) ) ),
inference(duplicate_literal_removal,[],[f47]) ).
thf(f47,plain,
! [X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( $true
= ( sK9 @ sK7 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
= ( sK0 @ sK4 ) )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f123,plain,
( spl11_7
| spl11_10
| spl11_3 ),
inference(avatar_split_clause,[],[f67,f85,f120,f102]) ).
thf(f67,plain,
! [X8: a > $o] :
( ( $true
= ( sK5 @ sK3 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( sK0 @ sK9 )
= $true )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(duplicate_literal_removal,[],[f30]) ).
thf(f30,plain,
! [X8: a > $o] :
( ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( sK0 @ sK9 )
= $true )
| ( $true
= ( sK5 @ sK3 ) )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f118,plain,
( spl11_7
| spl11_6
| spl11_3 ),
inference(avatar_split_clause,[],[f68,f85,f98,f102]) ).
thf(f68,plain,
! [X8: a > $o,X6: a > $o] :
( ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X6 @ sK2 ) )
| ( $true
!= ( sK0 @ X6 ) )
| ( $true
!= ( X6 @ sK1 ) )
| ( ( sK0 @ sK9 )
= $true )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(duplicate_literal_removal,[],[f22]) ).
thf(f22,plain,
! [X8: a > $o,X6: a > $o] :
( ( $true
!= ( X6 @ sK2 ) )
| ( ( sK0 @ sK9 )
= $true )
| ( $true
!= ( sK0 @ X6 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( X6 @ sK1 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f117,plain,
( spl11_9
| spl11_3
| spl11_7 ),
inference(avatar_split_clause,[],[f69,f102,f85,f113]) ).
thf(f69,plain,
! [X8: a > $o] :
( ( ( sK0 @ sK9 )
= $true )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
= ( sK4 @ sK3 ) )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(duplicate_literal_removal,[],[f38]) ).
thf(f38,plain,
! [X8: a > $o] :
( ( ( sK0 @ sK9 )
= $true )
| ( $true
= ( sK4 @ sK3 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f116,plain,
( spl11_3
| spl11_1
| spl11_9 ),
inference(avatar_split_clause,[],[f70,f113,f78,f85]) ).
thf(f70,plain,
! [X11: a > $o,X8: a > $o] :
( ( ( sK0 @ X11 )
!= $true )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( X11 @ sK7 ) )
| ( ( X11 @ sK8 )
!= $true )
| ( $true
= ( sK4 @ sK3 ) )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(duplicate_literal_removal,[],[f40]) ).
thf(f40,plain,
! [X11: a > $o,X8: a > $o] :
( ( $true
= ( sK4 @ sK3 ) )
| ( ( X11 @ sK8 )
!= $true )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X11 @ sK7 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( sK0 @ X11 )
!= $true )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f111,plain,
( spl11_3
| spl11_1
| spl11_8 ),
inference(avatar_split_clause,[],[f71,f107,f78,f85]) ).
thf(f71,plain,
! [X11: a > $o,X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( ( X11 @ sK8 )
!= $true )
| ( $true
= ( sK5 @ sK2 ) )
| ( ( sK0 @ X11 )
!= $true )
| ( $true
!= ( X11 @ sK7 ) )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(duplicate_literal_removal,[],[f28]) ).
thf(f28,plain,
! [X11: a > $o,X8: a > $o] :
( ( ( sK0 @ X11 )
!= $true )
| ( $true
= ( sK5 @ sK2 ) )
| ( ( X11 @ sK8 )
!= $true )
| ( $true
!= ( X11 @ sK7 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f110,plain,
( spl11_7
| spl11_3
| spl11_8 ),
inference(avatar_split_clause,[],[f72,f107,f85,f102]) ).
thf(f72,plain,
! [X8: a > $o] :
( ( ( sK0 @ sK9 )
= $true )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
= ( sK5 @ sK2 ) )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(duplicate_literal_removal,[],[f26]) ).
thf(f26,plain,
! [X8: a > $o] :
( ( $true
= ( sK5 @ sK2 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( sK0 @ sK9 )
= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f105,plain,
( spl11_2
| spl11_7
| spl11_3 ),
inference(avatar_split_clause,[],[f73,f85,f102,f81]) ).
thf(f73,plain,
! [X8: a > $o] :
( ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( sK0 @ sK5 )
= $true )
| ( ( sK0 @ sK9 )
= $true ) ),
inference(duplicate_literal_removal,[],[f34]) ).
thf(f34,plain,
! [X8: a > $o] :
( ( ( sK0 @ sK9 )
= $true )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( sK0 @ sK5 )
= $true )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f100,plain,
( spl11_1
| spl11_3
| spl11_6 ),
inference(avatar_split_clause,[],[f74,f98,f85,f78]) ).
thf(f74,plain,
! [X11: a > $o,X8: a > $o,X6: a > $o] :
( ( ( sK0 @ X11 )
!= $true )
| ( ( X11 @ sK8 )
!= $true )
| ( $true
!= ( sK0 @ X6 ) )
| ( $true
!= ( X11 @ sK7 ) )
| ( $true
!= ( X6 @ sK1 ) )
| ( $true
!= ( X6 @ sK2 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(duplicate_literal_removal,[],[f24]) ).
thf(f24,plain,
! [X11: a > $o,X8: a > $o,X6: a > $o] :
( ( ( sK0 @ X11 )
!= $true )
| ( $true
!= ( X11 @ sK7 ) )
| ( $true
!= ( X6 @ sK2 ) )
| ( $true
!= ( sK0 @ X6 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X6 @ sK1 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( X11 @ sK8 )
!= $true )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f96,plain,
( spl11_3
| spl11_4
| spl11_5 ),
inference(avatar_split_clause,[],[f75,f93,f89,f85]) ).
thf(f75,plain,
! [X8: a > $o] :
( ( ( sK9 @ sK8 )
= $true )
| ( $true
= ( sK4 @ sK1 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) ) ),
inference(duplicate_literal_removal,[],[f41]) ).
thf(f41,plain,
! [X8: a > $o] :
( ( $true
= ( sK4 @ sK1 ) )
| ( $true
!= ( sK0 @ X8 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( sK9 @ sK8 )
= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f87,plain,
( spl11_1
| spl11_2
| spl11_3 ),
inference(avatar_split_clause,[],[f76,f85,f81,f78]) ).
thf(f76,plain,
! [X11: a > $o,X8: a > $o] :
( ( $true
!= ( X8 @ sK6 ) )
| ( ( sK0 @ sK5 )
= $true )
| ( ( sK0 @ X11 )
!= $true )
| ( ( X11 @ sK8 )
!= $true )
| ( $true
!= ( X11 @ sK7 ) )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(duplicate_literal_removal,[],[f36]) ).
thf(f36,plain,
! [X11: a > $o,X8: a > $o] :
( ( ( sK0 @ sK5 )
= $true )
| ( $true
!= ( X8 @ sK6 ) )
| ( $true
!= ( X8 @ sK6 ) )
| ( ( sK0 @ X11 )
!= $true )
| ( ( X11 @ sK8 )
!= $true )
| ( $true
!= ( X11 @ sK7 ) )
| ( $true
!= ( sK0 @ X8 ) ) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV009^5 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n011.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 19:12:08 EDT 2024
% 0.22/0.36 % CPUTime :
% 0.22/0.36 This is a TH0_THM_EQU_NAR problem
% 0.22/0.36 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/sandbox/benchmark/theBenchmark.p
% 0.22/0.39 % (9520)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 % (9524)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)
% 0.22/0.39 % (9526)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.39 % (9521)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 % (9523)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.39 % (9522)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)
% 0.22/0.39 % (9525)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)
% 0.22/0.39 % (9524)Instruction limit reached!
% 0.22/0.39 % (9524)------------------------------
% 0.22/0.39 % (9524)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (9524)Termination reason: Unknown
% 0.22/0.39 % (9524)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (9524)Memory used [KB]: 895
% 0.22/0.39 % (9524)Time elapsed: 0.004 s
% 0.22/0.39 % (9524)Instructions burned: 2 (million)
% 0.22/0.39 % (9524)------------------------------
% 0.22/0.39 % (9524)------------------------------
% 0.22/0.39 % (9527)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)
% 0.22/0.39 % (9523)Instruction limit reached!
% 0.22/0.39 % (9523)------------------------------
% 0.22/0.39 % (9523)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (9523)Termination reason: Unknown
% 0.22/0.39 % (9523)Termination phase: Preprocessing 3
% 0.22/0.39
% 0.22/0.39 % (9523)Memory used [KB]: 1023
% 0.22/0.39 % (9523)Time elapsed: 0.005 s
% 0.22/0.39 % (9523)Instructions burned: 2 (million)
% 0.22/0.39 % (9523)------------------------------
% 0.22/0.39 % (9523)------------------------------
% 0.22/0.40 % (9527)Instruction limit reached!
% 0.22/0.40 % (9527)------------------------------
% 0.22/0.40 % (9527)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (9527)Termination reason: Unknown
% 0.22/0.40 % (9527)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (9527)Memory used [KB]: 5500
% 0.22/0.40 % (9521)Instruction limit reached!
% 0.22/0.40 % (9521)------------------------------
% 0.22/0.40 % (9521)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (9527)Time elapsed: 0.006 s
% 0.22/0.40 % (9527)Instructions burned: 3 (million)
% 0.22/0.40 % (9527)------------------------------
% 0.22/0.40 % (9527)------------------------------
% 0.22/0.40 % (9521)Termination reason: Unknown
% 0.22/0.40 % (9521)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (9521)Memory used [KB]: 5500
% 0.22/0.40 % (9521)Time elapsed: 0.008 s
% 0.22/0.40 % (9521)Instructions burned: 4 (million)
% 0.22/0.40 % (9521)------------------------------
% 0.22/0.40 % (9521)------------------------------
% 0.22/0.41 % (9526)Instruction limit reached!
% 0.22/0.41 % (9526)------------------------------
% 0.22/0.41 % (9526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (9526)Termination reason: Unknown
% 0.22/0.41 % (9526)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (9526)Memory used [KB]: 5628
% 0.22/0.41 % (9526)Time elapsed: 0.022 s
% 0.22/0.41 % (9526)Instructions burned: 18 (million)
% 0.22/0.41 % (9526)------------------------------
% 0.22/0.41 % (9526)------------------------------
% 0.22/0.42 % (9522)First to succeed.
% 0.22/0.42 % (9528)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 theBenchmark for (2999ds/37Mi)
% 0.22/0.42 % (9529)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 theBenchmark for (2999ds/15Mi)
% 0.22/0.42 % (9530)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.42 % (9531)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.43 % (9530)Instruction limit reached!
% 0.22/0.43 % (9530)------------------------------
% 0.22/0.43 % (9530)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (9530)Termination reason: Unknown
% 0.22/0.43 % (9530)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (9530)Memory used [KB]: 1023
% 0.22/0.43 % (9522)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43 % (9522)------------------------------
% 0.22/0.43 % (9522)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (9522)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (9522)Memory used [KB]: 5756
% 0.22/0.43 % (9522)Time elapsed: 0.034 s
% 0.22/0.43 % (9522)Instructions burned: 19 (million)
% 0.22/0.43 % (9522)------------------------------
% 0.22/0.43 % (9522)------------------------------
% 0.22/0.43 % (9519)Success in time 0.055 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------