TSTP Solution File: SEV127^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV127^5 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.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 09:41:26 EDT 2024
% Result : Theorem 0.16s 0.34s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 29
% Syntax : Number of formulae : 100 ( 4 unt; 16 typ; 0 def)
% Number of atoms : 1149 ( 393 equ; 0 cnn)
% Maximal formula atoms : 32 ( 13 avg)
% Number of connectives : 1642 ( 236 ~; 315 |; 74 &; 969 @)
% ( 7 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 297 ( 297 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 11 con; 0-2 aty)
% Number of variables : 244 ( 0 ^ 172 !; 70 ?; 244 :)
% ( 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 > a > $o ).
thf(func_def_6,type,
sK1: ( a > a > $o ) > $o ).
thf(func_def_7,type,
sK2: a > a > $o ).
thf(func_def_8,type,
sK3: a ).
thf(func_def_9,type,
sK4: a ).
thf(func_def_10,type,
sK5: ( a > a > $o ) > a ).
thf(func_def_11,type,
sK6: ( a > a > $o ) > a ).
thf(func_def_12,type,
sK7: ( a > a > $o ) > a ).
thf(func_def_13,type,
sK8: ( a > a > $o ) > a ).
thf(func_def_14,type,
sK9: ( a > a > $o ) > a ).
thf(func_def_15,type,
sK10: ( a > a > $o ) > a ).
thf(func_def_16,type,
sK11: a > a > $o ).
thf(func_def_18,type,
ph13:
!>[X0: $tType] : X0 ).
thf(f96,plain,
$false,
inference(avatar_sat_refutation,[],[f33,f47,f50,f55,f62,f79,f89,f92,f95]) ).
thf(f95,plain,
( spl12_2
| ~ spl12_1 ),
inference(avatar_split_clause,[],[f94,f27,f31]) ).
thf(f31,plain,
( spl12_2
<=> ! [X0: a > a > $o,X1: a > a > $o] :
( ( ( sK0 @ ( sK8 @ X0 ) @ ( sK7 @ X0 ) )
= $true )
| ( ( sK1 @ X0 )
!= $true )
| ( ( X1 @ sK3 @ sK4 )
= $true )
| ( ( sK1 @ X1 )
!= $true )
| ( $true
= ( X0 @ ( sK6 @ X1 ) @ ( sK5 @ X1 ) ) )
| ( ( sK11 @ ( sK6 @ X1 ) @ ( sK5 @ X1 ) )
= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
thf(f27,plain,
( spl12_1
<=> ( ( sK2 @ ( sK9 @ sK11 ) @ ( sK10 @ sK11 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
thf(f94,plain,
( ! [X0: a > a > $o,X1: a > a > $o] :
( ( ( sK1 @ X0 )
!= $true )
| ( $true
= ( sK0 @ ( sK8 @ X1 ) @ ( sK7 @ X1 ) ) )
| ( ( X1 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) )
= $true )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( $true
= ( X0 @ sK3 @ sK4 ) )
| ( ( sK1 @ X1 )
!= $true ) )
| ~ spl12_1 ),
inference(trivial_inequality_removal,[],[f93]) ).
thf(f93,plain,
( ! [X0: a > a > $o,X1: a > a > $o] :
( ( $true != $true )
| ( $true
= ( sK0 @ ( sK8 @ X1 ) @ ( sK7 @ X1 ) ) )
| ( ( X1 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) )
= $true )
| ( $true
= ( X0 @ sK3 @ sK4 ) )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( ( sK1 @ X1 )
!= $true )
| ( ( sK1 @ X0 )
!= $true ) )
| ~ spl12_1 ),
inference(forward_demodulation,[],[f83,f18]) ).
thf(f18,plain,
( $true
= ( sK1 @ sK11 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
( ! [X5: a > a > $o] :
( ( $true
!= ( sK1 @ X5 ) )
| ( ( ! [X8: a > a > $o] :
( ( ( X8 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
= $true )
| ( ( $true
!= ( X8 @ ( sK8 @ X8 ) @ ( sK7 @ X8 ) ) )
& ( $true
= ( sK0 @ ( sK8 @ X8 ) @ ( sK7 @ X8 ) ) ) )
| ( ( sK1 @ X8 )
!= $true ) )
| ! [X11: a > a > $o] :
( ( $true
= ( X11 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) ) )
| ( ( ( X11 @ ( sK9 @ X11 ) @ ( sK10 @ X11 ) )
!= $true )
& ( ( sK2 @ ( sK9 @ X11 ) @ ( sK10 @ X11 ) )
= $true ) )
| ( $true
!= ( sK1 @ X11 ) ) ) )
& ( ( X5 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
!= $true ) )
| ( ( X5 @ sK3 @ sK4 )
= $true ) )
& ( $true
= ( sK1 @ sK11 ) )
& ( ( sK11 @ sK3 @ sK4 )
!= $true )
& ! [X15: a,X16: a] :
( ( $true
= ( sK11 @ X15 @ X16 ) )
| ( ( ( sK2 @ X15 @ X16 )
!= $true )
& ( $true
!= ( sK0 @ X15 @ X16 ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f8,f13,f12,f11,f10,f9]) ).
thf(f9,plain,
( ? [X0: a > a > $o,X1: ( a > a > $o ) > $o,X2: a > a > $o,X3: a,X4: a] :
( ! [X5: a > a > $o] :
( ( ( X1 @ X5 )
!= $true )
| ? [X6: a,X7: a] :
( ( ! [X8: a > a > $o] :
( ( $true
= ( X8 @ X7 @ X6 ) )
| ? [X9: a,X10: a] :
( ( ( X8 @ X10 @ X9 )
!= $true )
& ( ( X0 @ X10 @ X9 )
= $true ) )
| ( $true
!= ( X1 @ X8 ) ) )
| ! [X11: a > a > $o] :
( ( $true
= ( X11 @ X7 @ X6 ) )
| ? [X12: a,X13: a] :
( ( $true
!= ( X11 @ X12 @ X13 ) )
& ( ( X2 @ X12 @ X13 )
= $true ) )
| ( ( X1 @ X11 )
!= $true ) ) )
& ( $true
!= ( X5 @ X7 @ X6 ) ) )
| ( ( X5 @ X3 @ X4 )
= $true ) )
& ? [X14: a > a > $o] :
( ( ( X1 @ X14 )
= $true )
& ( ( X14 @ X3 @ X4 )
!= $true )
& ! [X15: a,X16: a] :
( ( ( X14 @ X15 @ X16 )
= $true )
| ( ( ( X2 @ X15 @ X16 )
!= $true )
& ( ( X0 @ X15 @ X16 )
!= $true ) ) ) ) )
=> ( ! [X5: a > a > $o] :
( ( $true
!= ( sK1 @ X5 ) )
| ? [X7: a,X6: a] :
( ( ! [X8: a > a > $o] :
( ( $true
= ( X8 @ X7 @ X6 ) )
| ? [X10: a,X9: a] :
( ( ( X8 @ X10 @ X9 )
!= $true )
& ( $true
= ( sK0 @ X10 @ X9 ) ) )
| ( ( sK1 @ X8 )
!= $true ) )
| ! [X11: a > a > $o] :
( ( $true
= ( X11 @ X7 @ X6 ) )
| ? [X13: a,X12: a] :
( ( $true
!= ( X11 @ X12 @ X13 ) )
& ( ( sK2 @ X12 @ X13 )
= $true ) )
| ( $true
!= ( sK1 @ X11 ) ) ) )
& ( $true
!= ( X5 @ X7 @ X6 ) ) )
| ( ( X5 @ sK3 @ sK4 )
= $true ) )
& ? [X14: a > a > $o] :
( ( ( sK1 @ X14 )
= $true )
& ( ( X14 @ sK3 @ sK4 )
!= $true )
& ! [X16: a,X15: a] :
( ( ( X14 @ X15 @ X16 )
= $true )
| ( ( ( sK2 @ X15 @ X16 )
!= $true )
& ( $true
!= ( sK0 @ X15 @ X16 ) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
! [X5: a > a > $o] :
( ? [X7: a,X6: a] :
( ( ! [X8: a > a > $o] :
( ( $true
= ( X8 @ X7 @ X6 ) )
| ? [X10: a,X9: a] :
( ( ( X8 @ X10 @ X9 )
!= $true )
& ( $true
= ( sK0 @ X10 @ X9 ) ) )
| ( ( sK1 @ X8 )
!= $true ) )
| ! [X11: a > a > $o] :
( ( $true
= ( X11 @ X7 @ X6 ) )
| ? [X13: a,X12: a] :
( ( $true
!= ( X11 @ X12 @ X13 ) )
& ( ( sK2 @ X12 @ X13 )
= $true ) )
| ( $true
!= ( sK1 @ X11 ) ) ) )
& ( $true
!= ( X5 @ X7 @ X6 ) ) )
=> ( ( ! [X8: a > a > $o] :
( ( ( X8 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
= $true )
| ? [X10: a,X9: a] :
( ( ( X8 @ X10 @ X9 )
!= $true )
& ( $true
= ( sK0 @ X10 @ X9 ) ) )
| ( ( sK1 @ X8 )
!= $true ) )
| ! [X11: a > a > $o] :
( ( $true
= ( X11 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) ) )
| ? [X13: a,X12: a] :
( ( $true
!= ( X11 @ X12 @ X13 ) )
& ( ( sK2 @ X12 @ X13 )
= $true ) )
| ( $true
!= ( sK1 @ X11 ) ) ) )
& ( ( X5 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X8: a > a > $o] :
( ? [X10: a,X9: a] :
( ( ( X8 @ X10 @ X9 )
!= $true )
& ( $true
= ( sK0 @ X10 @ X9 ) ) )
=> ( ( $true
!= ( X8 @ ( sK8 @ X8 ) @ ( sK7 @ X8 ) ) )
& ( $true
= ( sK0 @ ( sK8 @ X8 ) @ ( sK7 @ X8 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X11: a > a > $o] :
( ? [X13: a,X12: a] :
( ( $true
!= ( X11 @ X12 @ X13 ) )
& ( ( sK2 @ X12 @ X13 )
= $true ) )
=> ( ( ( X11 @ ( sK9 @ X11 ) @ ( sK10 @ X11 ) )
!= $true )
& ( ( sK2 @ ( sK9 @ X11 ) @ ( sK10 @ X11 ) )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
( ? [X14: a > a > $o] :
( ( ( sK1 @ X14 )
= $true )
& ( ( X14 @ sK3 @ sK4 )
!= $true )
& ! [X16: a,X15: a] :
( ( ( X14 @ X15 @ X16 )
= $true )
| ( ( ( sK2 @ X15 @ X16 )
!= $true )
& ( $true
!= ( sK0 @ X15 @ X16 ) ) ) ) )
=> ( ( $true
= ( sK1 @ sK11 ) )
& ( ( sK11 @ sK3 @ sK4 )
!= $true )
& ! [X16: a,X15: a] :
( ( $true
= ( sK11 @ X15 @ X16 ) )
| ( ( ( sK2 @ X15 @ X16 )
!= $true )
& ( $true
!= ( sK0 @ X15 @ X16 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a > a > $o,X1: ( a > a > $o ) > $o,X2: a > a > $o,X3: a,X4: a] :
( ! [X5: a > a > $o] :
( ( ( X1 @ X5 )
!= $true )
| ? [X6: a,X7: a] :
( ( ! [X8: a > a > $o] :
( ( $true
= ( X8 @ X7 @ X6 ) )
| ? [X9: a,X10: a] :
( ( ( X8 @ X10 @ X9 )
!= $true )
& ( ( X0 @ X10 @ X9 )
= $true ) )
| ( $true
!= ( X1 @ X8 ) ) )
| ! [X11: a > a > $o] :
( ( $true
= ( X11 @ X7 @ X6 ) )
| ? [X12: a,X13: a] :
( ( $true
!= ( X11 @ X12 @ X13 ) )
& ( ( X2 @ X12 @ X13 )
= $true ) )
| ( ( X1 @ X11 )
!= $true ) ) )
& ( $true
!= ( X5 @ X7 @ X6 ) ) )
| ( ( X5 @ X3 @ X4 )
= $true ) )
& ? [X14: a > a > $o] :
( ( ( X1 @ X14 )
= $true )
& ( ( X14 @ X3 @ X4 )
!= $true )
& ! [X15: a,X16: a] :
( ( ( X14 @ X15 @ X16 )
= $true )
| ( ( ( X2 @ X15 @ X16 )
!= $true )
& ( ( X0 @ X15 @ X16 )
!= $true ) ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X3: a > a > $o,X0: ( a > a > $o ) > $o,X2: a > a > $o,X1: a,X4: a] :
( ! [X5: a > a > $o] :
( ( ( X0 @ X5 )
!= $true )
| ? [X6: a,X7: a] :
( ( ! [X11: a > a > $o] :
( ( $true
= ( X11 @ X7 @ X6 ) )
| ? [X13: a,X12: a] :
( ( $true
!= ( X11 @ X12 @ X13 ) )
& ( $true
= ( X3 @ X12 @ X13 ) ) )
| ( ( X0 @ X11 )
!= $true ) )
| ! [X8: a > a > $o] :
( ( $true
= ( X8 @ X7 @ X6 ) )
| ? [X9: a,X10: a] :
( ( ( X8 @ X9 @ X10 )
!= $true )
& ( ( X2 @ X9 @ X10 )
= $true ) )
| ( ( X0 @ X8 )
!= $true ) ) )
& ( $true
!= ( X5 @ X7 @ X6 ) ) )
| ( $true
= ( X5 @ X1 @ X4 ) ) )
& ? [X14: a > a > $o] :
( ( $true
= ( X0 @ X14 ) )
& ( $true
!= ( X14 @ X1 @ X4 ) )
& ! [X16: a,X15: a] :
( ( $true
= ( X14 @ X16 @ X15 ) )
| ( ( ( X2 @ X16 @ X15 )
!= $true )
& ( $true
!= ( X3 @ X16 @ X15 ) ) ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X2: a > a > $o,X4: a,X3: a > a > $o,X0: ( a > a > $o ) > $o,X1: a] :
( ? [X14: a > a > $o] :
( ( $true
!= ( X14 @ X1 @ X4 ) )
& ! [X16: a,X15: a] :
( ( $true
= ( X14 @ X16 @ X15 ) )
| ( ( ( X2 @ X16 @ X15 )
!= $true )
& ( $true
!= ( X3 @ X16 @ X15 ) ) ) )
& ( $true
= ( X0 @ X14 ) ) )
& ! [X5: a > a > $o] :
( ( $true
= ( X5 @ X1 @ X4 ) )
| ( ( X0 @ X5 )
!= $true )
| ? [X6: a,X7: a] :
( ( $true
!= ( X5 @ X7 @ X6 ) )
& ( ! [X8: a > a > $o] :
( ( $true
= ( X8 @ X7 @ X6 ) )
| ( ( X0 @ X8 )
!= $true )
| ? [X9: a,X10: a] :
( ( ( X8 @ X9 @ X10 )
!= $true )
& ( ( X2 @ X9 @ X10 )
= $true ) ) )
| ! [X11: a > a > $o] :
( ( $true
= ( X11 @ X7 @ X6 ) )
| ? [X13: a,X12: a] :
( ( $true
!= ( X11 @ X12 @ X13 ) )
& ( $true
= ( X3 @ X12 @ X13 ) ) )
| ( ( X0 @ X11 )
!= $true ) ) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X2: a > a > $o,X4: a,X3: a > a > $o,X0: ( a > a > $o ) > $o,X1: a] :
( ! [X5: a > a > $o] :
( ( ( ( X0 @ X5 )
= $true )
& ! [X6: a,X7: a] :
( ( ! [X8: a > a > $o] :
( ( ( ( X0 @ X8 )
= $true )
& ! [X9: a,X10: a] :
( ( ( X2 @ X9 @ X10 )
= $true )
=> ( ( X8 @ X9 @ X10 )
= $true ) ) )
=> ( $true
= ( X8 @ X7 @ X6 ) ) )
| ! [X11: a > a > $o] :
( ( ! [X13: a,X12: a] :
( ( $true
= ( X3 @ X12 @ X13 ) )
=> ( $true
= ( X11 @ X12 @ X13 ) ) )
& ( ( X0 @ X11 )
= $true ) )
=> ( $true
= ( X11 @ X7 @ X6 ) ) ) )
=> ( $true
= ( X5 @ X7 @ X6 ) ) ) )
=> ( $true
= ( X5 @ X1 @ X4 ) ) )
=> ! [X14: a > a > $o] :
( ( ! [X16: a,X15: a] :
( ( ( ( X2 @ X16 @ X15 )
= $true )
| ( $true
= ( X3 @ X16 @ X15 ) ) )
=> ( $true
= ( X14 @ X16 @ X15 ) ) )
& ( $true
= ( X0 @ X14 ) ) )
=> ( $true
= ( X14 @ X1 @ X4 ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: ( a > a > $o ) > $o,X1: a,X2: a > a > $o,X3: a > a > $o,X4: a] :
( ! [X5: a > a > $o] :
( ( ( X0 @ X5 )
& ! [X6: a,X7: a] :
( ( ! [X8: a > a > $o] :
( ( ! [X9: a,X10: a] :
( ( X2 @ X9 @ X10 )
=> ( X8 @ X9 @ X10 ) )
& ( X0 @ X8 ) )
=> ( X8 @ X7 @ X6 ) )
| ! [X11: a > a > $o] :
( ( ( X0 @ X11 )
& ! [X12: a,X13: a] :
( ( X3 @ X12 @ X13 )
=> ( X11 @ X12 @ X13 ) ) )
=> ( X11 @ X7 @ X6 ) ) )
=> ( X5 @ X7 @ X6 ) ) )
=> ( X5 @ X1 @ X4 ) )
=> ! [X14: a > a > $o] :
( ( ( X0 @ X14 )
& ! [X15: a,X16: a] :
( ( ( X2 @ X16 @ X15 )
| ( X3 @ X16 @ X15 ) )
=> ( X14 @ X16 @ X15 ) ) )
=> ( X14 @ X1 @ X4 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: ( a > a > $o ) > $o,X3: a,X1: a > a > $o,X2: a > a > $o,X4: a] :
( ! [X5: a > a > $o] :
( ( ( X0 @ X5 )
& ! [X7: a,X6: a] :
( ( ! [X8: a > a > $o] :
( ( ! [X9: a,X10: a] :
( ( X1 @ X9 @ X10 )
=> ( X8 @ X9 @ X10 ) )
& ( X0 @ X8 ) )
=> ( X8 @ X6 @ X7 ) )
| ! [X8: a > a > $o] :
( ( ( X0 @ X8 )
& ! [X9: a,X10: a] :
( ( X2 @ X9 @ X10 )
=> ( X8 @ X9 @ X10 ) ) )
=> ( X8 @ X6 @ X7 ) ) )
=> ( X5 @ X6 @ X7 ) ) )
=> ( X5 @ X3 @ X4 ) )
=> ! [X5: a > a > $o] :
( ( ( X0 @ X5 )
& ! [X7: a,X6: a] :
( ( ( X1 @ X6 @ X7 )
| ( X2 @ X6 @ X7 ) )
=> ( X5 @ X6 @ X7 ) ) )
=> ( X5 @ X3 @ X4 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: ( a > a > $o ) > $o,X3: a,X1: a > a > $o,X2: a > a > $o,X4: a] :
( ! [X5: a > a > $o] :
( ( ( X0 @ X5 )
& ! [X7: a,X6: a] :
( ( ! [X8: a > a > $o] :
( ( ! [X9: a,X10: a] :
( ( X1 @ X9 @ X10 )
=> ( X8 @ X9 @ X10 ) )
& ( X0 @ X8 ) )
=> ( X8 @ X6 @ X7 ) )
| ! [X8: a > a > $o] :
( ( ( X0 @ X8 )
& ! [X9: a,X10: a] :
( ( X2 @ X9 @ X10 )
=> ( X8 @ X9 @ X10 ) ) )
=> ( X8 @ X6 @ X7 ) ) )
=> ( X5 @ X6 @ X7 ) ) )
=> ( X5 @ X3 @ X4 ) )
=> ! [X5: a > a > $o] :
( ( ( X0 @ X5 )
& ! [X7: a,X6: a] :
( ( ( X1 @ X6 @ X7 )
| ( X2 @ X6 @ X7 ) )
=> ( X5 @ X6 @ X7 ) ) )
=> ( X5 @ X3 @ X4 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.PKBGts6Ouu/Vampire---4.8_29583',cTHM252A_pme) ).
thf(f83,plain,
( ! [X0: a > a > $o,X1: a > a > $o] :
( ( $true
!= ( sK1 @ sK11 ) )
| ( $true
= ( sK0 @ ( sK8 @ X1 ) @ ( sK7 @ X1 ) ) )
| ( ( X1 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) )
= $true )
| ( $true
= ( X0 @ sK3 @ sK4 ) )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK1 @ X1 )
!= $true ) )
| ~ spl12_1 ),
inference(trivial_inequality_removal,[],[f82]) ).
thf(f82,plain,
( ! [X0: a > a > $o,X1: a > a > $o] :
( ( $true
= ( sK0 @ ( sK8 @ X1 ) @ ( sK7 @ X1 ) ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( X1 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) )
= $true )
| ( $true != $true )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( ( sK1 @ X1 )
!= $true )
| ( $true
= ( X0 @ sK3 @ sK4 ) )
| ( $true
!= ( sK1 @ sK11 ) ) )
| ~ spl12_1 ),
inference(superposition,[],[f21,f81]) ).
thf(f81,plain,
( ( ( sK11 @ ( sK9 @ sK11 ) @ ( sK10 @ sK11 ) )
= $true )
| ~ spl12_1 ),
inference(trivial_inequality_removal,[],[f80]) ).
thf(f80,plain,
( ( ( sK11 @ ( sK9 @ sK11 ) @ ( sK10 @ sK11 ) )
= $true )
| ( $true != $true )
| ~ spl12_1 ),
inference(superposition,[],[f16,f29]) ).
thf(f29,plain,
( ( ( sK2 @ ( sK9 @ sK11 ) @ ( sK10 @ sK11 ) )
= $true )
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f27]) ).
thf(f16,plain,
! [X16: a,X15: a] :
( ( ( sK2 @ X15 @ X16 )
!= $true )
| ( $true
= ( sK11 @ X15 @ X16 ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f21,plain,
! [X11: a > a > $o,X8: a > a > $o,X5: a > a > $o] :
( ( ( X11 @ ( sK9 @ X11 ) @ ( sK10 @ X11 ) )
!= $true )
| ( ( X5 @ sK3 @ sK4 )
= $true )
| ( ( X8 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
= $true )
| ( $true
!= ( sK1 @ X11 ) )
| ( $true
!= ( sK1 @ X5 ) )
| ( $true
= ( sK0 @ ( sK8 @ X8 ) @ ( sK7 @ X8 ) ) )
| ( ( sK1 @ X8 )
!= $true )
| ( $true
= ( X11 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f92,plain,
( spl12_4
| spl12_3
| ~ spl12_7 ),
inference(avatar_split_clause,[],[f91,f77,f37,f41]) ).
thf(f41,plain,
( spl12_4
<=> ( ( sK11 @ ( sK6 @ sK11 ) @ ( sK5 @ sK11 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
thf(f37,plain,
( spl12_3
<=> ( ( sK11 @ sK3 @ sK4 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
thf(f77,plain,
( spl12_7
<=> ! [X0: a > a > $o] :
( ( $true
= ( X0 @ sK3 @ sK4 ) )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( ( sK1 @ X0 )
!= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
thf(f91,plain,
( ( ( sK11 @ sK3 @ sK4 )
= $true )
| ( ( sK11 @ ( sK6 @ sK11 ) @ ( sK5 @ sK11 ) )
= $true )
| ~ spl12_7 ),
inference(trivial_inequality_removal,[],[f90]) ).
thf(f90,plain,
( ( ( sK11 @ sK3 @ sK4 )
= $true )
| ( ( sK11 @ ( sK6 @ sK11 ) @ ( sK5 @ sK11 ) )
= $true )
| ( $true != $true )
| ~ spl12_7 ),
inference(superposition,[],[f78,f18]) ).
thf(f78,plain,
( ! [X0: a > a > $o] :
( ( ( sK1 @ X0 )
!= $true )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( $true
= ( X0 @ sK3 @ sK4 ) ) )
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f77]) ).
thf(f89,plain,
( spl12_7
| ~ spl12_1
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f88,f59,f27,f77]) ).
thf(f59,plain,
( spl12_6
<=> ( ( sK0 @ ( sK8 @ sK11 ) @ ( sK7 @ sK11 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
thf(f88,plain,
( ! [X0: a > a > $o] :
( ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( $true
= ( X0 @ sK3 @ sK4 ) )
| ( ( sK1 @ X0 )
!= $true ) )
| ~ spl12_1
| ~ spl12_6 ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f87,plain,
( ! [X0: a > a > $o] :
( ( $true
= ( X0 @ sK3 @ sK4 ) )
| ( ( sK1 @ X0 )
!= $true )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( $true != $true ) )
| ~ spl12_1
| ~ spl12_6 ),
inference(forward_demodulation,[],[f86,f18]) ).
thf(f86,plain,
( ! [X0: a > a > $o] :
( ( ( sK1 @ X0 )
!= $true )
| ( $true
= ( X0 @ sK3 @ sK4 ) )
| ( $true
!= ( sK1 @ sK11 ) )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) ) )
| ~ spl12_1
| ~ spl12_6 ),
inference(trivial_inequality_removal,[],[f85]) ).
thf(f85,plain,
( ! [X0: a > a > $o] :
( ( $true
!= ( sK1 @ sK11 ) )
| ( $true != $true )
| ( ( sK1 @ X0 )
!= $true )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( $true
= ( X0 @ sK3 @ sK4 ) ) )
| ~ spl12_1
| ~ spl12_6 ),
inference(duplicate_literal_removal,[],[f84]) ).
thf(f84,plain,
( ! [X0: a > a > $o] :
( ( ( sK1 @ X0 )
!= $true )
| ( $true
!= ( sK1 @ sK11 ) )
| ( $true != $true )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( $true
= ( X0 @ sK3 @ sK4 ) ) )
| ~ spl12_1
| ~ spl12_6 ),
inference(superposition,[],[f72,f81]) ).
thf(f72,plain,
( ! [X0: a > a > $o,X1: a > a > $o] :
( ( $true
!= ( X1 @ ( sK9 @ X1 ) @ ( sK10 @ X1 ) ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( X1 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) )
= $true )
| ( ( sK1 @ X1 )
!= $true )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( $true
= ( X0 @ sK3 @ sK4 ) ) )
| ~ spl12_6 ),
inference(trivial_inequality_removal,[],[f71]) ).
thf(f71,plain,
( ! [X0: a > a > $o,X1: a > a > $o] :
( ( ( sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( sK1 @ X1 )
!= $true )
| ( ( X1 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) )
= $true )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( $true
!= ( X1 @ ( sK9 @ X1 ) @ ( sK10 @ X1 ) ) )
| ( $true
= ( X0 @ sK3 @ sK4 ) ) )
| ~ spl12_6 ),
inference(forward_demodulation,[],[f70,f18]) ).
thf(f70,plain,
( ! [X0: a > a > $o,X1: a > a > $o] :
( ( $true
= ( X0 @ sK3 @ sK4 ) )
| ( $true
!= ( sK1 @ sK11 ) )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( $true
!= ( X1 @ ( sK9 @ X1 ) @ ( sK10 @ X1 ) ) )
| ( ( X1 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) )
= $true )
| ( ( sK1 @ X1 )
!= $true )
| ( ( sK1 @ X0 )
!= $true ) )
| ~ spl12_6 ),
inference(trivial_inequality_removal,[],[f69]) ).
thf(f69,plain,
( ! [X0: a > a > $o,X1: a > a > $o] :
( ( $true
= ( X0 @ sK3 @ sK4 ) )
| ( ( X1 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) )
= $true )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( ( sK1 @ X0 )
!= $true )
| ( $true
!= ( sK1 @ sK11 ) )
| ( $true != $true )
| ( $true
!= ( X1 @ ( sK9 @ X1 ) @ ( sK10 @ X1 ) ) )
| ( ( sK1 @ X1 )
!= $true ) )
| ~ spl12_6 ),
inference(superposition,[],[f23,f64]) ).
thf(f64,plain,
( ( $true
= ( sK11 @ ( sK8 @ sK11 ) @ ( sK7 @ sK11 ) ) )
| ~ spl12_6 ),
inference(trivial_inequality_removal,[],[f63]) ).
thf(f63,plain,
( ( $true
= ( sK11 @ ( sK8 @ sK11 ) @ ( sK7 @ sK11 ) ) )
| ( $true != $true )
| ~ spl12_6 ),
inference(superposition,[],[f15,f61]) ).
thf(f61,plain,
( ( ( sK0 @ ( sK8 @ sK11 ) @ ( sK7 @ sK11 ) )
= $true )
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f59]) ).
thf(f15,plain,
! [X16: a,X15: a] :
( ( $true
!= ( sK0 @ X15 @ X16 ) )
| ( $true
= ( sK11 @ X15 @ X16 ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f23,plain,
! [X11: a > a > $o,X8: a > a > $o,X5: a > a > $o] :
( ( $true
!= ( X8 @ ( sK8 @ X8 ) @ ( sK7 @ X8 ) ) )
| ( ( X5 @ sK3 @ sK4 )
= $true )
| ( $true
!= ( sK1 @ X5 ) )
| ( ( X11 @ ( sK9 @ X11 ) @ ( sK10 @ X11 ) )
!= $true )
| ( $true
= ( X11 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) ) )
| ( ( sK1 @ X8 )
!= $true )
| ( ( X8 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
= $true )
| ( $true
!= ( sK1 @ X11 ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f79,plain,
( spl12_1
| spl12_7
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f75,f59,f77,f27]) ).
thf(f75,plain,
( ! [X0: a > a > $o] :
( ( $true
= ( X0 @ sK3 @ sK4 ) )
| ( ( sK2 @ ( sK9 @ sK11 ) @ ( sK10 @ sK11 ) )
= $true )
| ( ( sK1 @ X0 )
!= $true )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) ) )
| ~ spl12_6 ),
inference(trivial_inequality_removal,[],[f74]) ).
thf(f74,plain,
( ! [X0: a > a > $o] :
( ( ( sK1 @ X0 )
!= $true )
| ( ( sK2 @ ( sK9 @ sK11 ) @ ( sK10 @ sK11 ) )
= $true )
| ( $true
= ( X0 @ sK3 @ sK4 ) )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( $true != $true ) )
| ~ spl12_6 ),
inference(duplicate_literal_removal,[],[f73]) ).
thf(f73,plain,
( ! [X0: a > a > $o] :
( ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( $true
= ( X0 @ sK3 @ sK4 ) )
| ( ( sK2 @ ( sK9 @ sK11 ) @ ( sK10 @ sK11 ) )
= $true )
| ( ( sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl12_6 ),
inference(superposition,[],[f68,f18]) ).
thf(f68,plain,
( ! [X0: a > a > $o,X1: a > a > $o] :
( ( ( sK1 @ X1 )
!= $true )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( ( X1 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) )
= $true )
| ( ( sK2 @ ( sK9 @ X1 ) @ ( sK10 @ X1 ) )
= $true )
| ( ( sK1 @ X0 )
!= $true )
| ( $true
= ( X0 @ sK3 @ sK4 ) ) )
| ~ spl12_6 ),
inference(trivial_inequality_removal,[],[f67]) ).
thf(f67,plain,
( ! [X0: a > a > $o,X1: a > a > $o] :
( ( $true != $true )
| ( $true
= ( X0 @ sK3 @ sK4 ) )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( ( sK2 @ ( sK9 @ X1 ) @ ( sK10 @ X1 ) )
= $true )
| ( ( X1 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) )
= $true )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK1 @ X1 )
!= $true ) )
| ~ spl12_6 ),
inference(forward_demodulation,[],[f66,f18]) ).
thf(f66,plain,
( ! [X0: a > a > $o,X1: a > a > $o] :
( ( $true
!= ( sK1 @ sK11 ) )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK1 @ X1 )
!= $true )
| ( $true
= ( X0 @ sK3 @ sK4 ) )
| ( ( X1 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) )
= $true )
| ( ( sK2 @ ( sK9 @ X1 ) @ ( sK10 @ X1 ) )
= $true ) )
| ~ spl12_6 ),
inference(trivial_inequality_removal,[],[f65]) ).
thf(f65,plain,
( ! [X0: a > a > $o,X1: a > a > $o] :
( ( ( sK1 @ X1 )
!= $true )
| ( ( X1 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) )
= $true )
| ( $true != $true )
| ( $true
= ( sK11 @ ( sK6 @ X0 ) @ ( sK5 @ X0 ) ) )
| ( ( sK2 @ ( sK9 @ X1 ) @ ( sK10 @ X1 ) )
= $true )
| ( ( sK1 @ X0 )
!= $true )
| ( $true
= ( X0 @ sK3 @ sK4 ) )
| ( $true
!= ( sK1 @ sK11 ) ) )
| ~ spl12_6 ),
inference(superposition,[],[f22,f64]) ).
thf(f22,plain,
! [X11: a > a > $o,X8: a > a > $o,X5: a > a > $o] :
( ( $true
!= ( X8 @ ( sK8 @ X8 ) @ ( sK7 @ X8 ) ) )
| ( ( X8 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
= $true )
| ( ( X5 @ sK3 @ sK4 )
= $true )
| ( ( sK2 @ ( sK9 @ X11 ) @ ( sK10 @ X11 ) )
= $true )
| ( $true
!= ( sK1 @ X5 ) )
| ( $true
= ( X11 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) ) )
| ( $true
!= ( sK1 @ X11 ) )
| ( ( sK1 @ X8 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f62,plain,
( spl12_6
| spl12_4
| ~ spl12_5 ),
inference(avatar_split_clause,[],[f57,f45,f41,f59]) ).
thf(f45,plain,
( spl12_5
<=> ! [X0: a > a > $o] :
( ( $true
= ( X0 @ ( sK6 @ sK11 ) @ ( sK5 @ sK11 ) ) )
| ( ( sK0 @ ( sK8 @ X0 ) @ ( sK7 @ X0 ) )
= $true )
| ( ( sK1 @ X0 )
!= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
thf(f57,plain,
( ( ( sK0 @ ( sK8 @ sK11 ) @ ( sK7 @ sK11 ) )
= $true )
| ( ( sK11 @ ( sK6 @ sK11 ) @ ( sK5 @ sK11 ) )
= $true )
| ~ spl12_5 ),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f56,plain,
( ( ( sK0 @ ( sK8 @ sK11 ) @ ( sK7 @ sK11 ) )
= $true )
| ( ( sK11 @ ( sK6 @ sK11 ) @ ( sK5 @ sK11 ) )
= $true )
| ( $true != $true )
| ~ spl12_5 ),
inference(superposition,[],[f46,f18]) ).
thf(f46,plain,
( ! [X0: a > a > $o] :
( ( ( sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK8 @ X0 ) @ ( sK7 @ X0 ) )
= $true )
| ( $true
= ( X0 @ ( sK6 @ sK11 ) @ ( sK5 @ sK11 ) ) ) )
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f55,plain,
( spl12_3
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f54,f41,f37]) ).
thf(f54,plain,
( ( ( sK11 @ sK3 @ sK4 )
= $true )
| ~ spl12_4 ),
inference(trivial_inequality_removal,[],[f53]) ).
thf(f53,plain,
( ( ( sK11 @ sK3 @ sK4 )
= $true )
| ( $true != $true )
| ~ spl12_4 ),
inference(forward_demodulation,[],[f52,f18]) ).
thf(f52,plain,
( ( $true
!= ( sK1 @ sK11 ) )
| ( ( sK11 @ sK3 @ sK4 )
= $true )
| ~ spl12_4 ),
inference(trivial_inequality_removal,[],[f51]) ).
thf(f51,plain,
( ( ( sK11 @ sK3 @ sK4 )
= $true )
| ( $true
!= ( sK1 @ sK11 ) )
| ( $true != $true )
| ~ spl12_4 ),
inference(superposition,[],[f19,f43]) ).
thf(f43,plain,
( ( ( sK11 @ ( sK6 @ sK11 ) @ ( sK5 @ sK11 ) )
= $true )
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f41]) ).
thf(f19,plain,
! [X5: a > a > $o] :
( ( ( X5 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
!= $true )
| ( ( X5 @ sK3 @ sK4 )
= $true )
| ( $true
!= ( sK1 @ X5 ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f50,plain,
~ spl12_3,
inference(avatar_contradiction_clause,[],[f49]) ).
thf(f49,plain,
( $false
| ~ spl12_3 ),
inference(trivial_inequality_removal,[],[f48]) ).
thf(f48,plain,
( ( $true != $true )
| ~ spl12_3 ),
inference(superposition,[],[f17,f39]) ).
thf(f39,plain,
( ( ( sK11 @ sK3 @ sK4 )
= $true )
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f37]) ).
thf(f17,plain,
( ( sK11 @ sK3 @ sK4 )
!= $true ),
inference(cnf_transformation,[],[f14]) ).
thf(f47,plain,
( spl12_3
| spl12_4
| spl12_5
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f35,f31,f45,f41,f37]) ).
thf(f35,plain,
( ! [X0: a > a > $o] :
( ( $true
= ( X0 @ ( sK6 @ sK11 ) @ ( sK5 @ sK11 ) ) )
| ( ( sK11 @ sK3 @ sK4 )
= $true )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK8 @ X0 ) @ ( sK7 @ X0 ) )
= $true )
| ( ( sK11 @ ( sK6 @ sK11 ) @ ( sK5 @ sK11 ) )
= $true ) )
| ~ spl12_2 ),
inference(trivial_inequality_removal,[],[f34]) ).
thf(f34,plain,
( ! [X0: a > a > $o] :
( ( ( sK11 @ sK3 @ sK4 )
= $true )
| ( ( sK11 @ ( sK6 @ sK11 ) @ ( sK5 @ sK11 ) )
= $true )
| ( $true
= ( X0 @ ( sK6 @ sK11 ) @ ( sK5 @ sK11 ) ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK8 @ X0 ) @ ( sK7 @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl12_2 ),
inference(superposition,[],[f32,f18]) ).
thf(f32,plain,
( ! [X0: a > a > $o,X1: a > a > $o] :
( ( ( sK1 @ X1 )
!= $true )
| ( ( sK0 @ ( sK8 @ X0 ) @ ( sK7 @ X0 ) )
= $true )
| ( ( sK1 @ X0 )
!= $true )
| ( ( X1 @ sK3 @ sK4 )
= $true )
| ( $true
= ( X0 @ ( sK6 @ X1 ) @ ( sK5 @ X1 ) ) )
| ( ( sK11 @ ( sK6 @ X1 ) @ ( sK5 @ X1 ) )
= $true ) )
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f31]) ).
thf(f33,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f25,f31,f27]) ).
thf(f25,plain,
! [X0: a > a > $o,X1: a > a > $o] :
( ( ( sK0 @ ( sK8 @ X0 ) @ ( sK7 @ X0 ) )
= $true )
| ( ( sK11 @ ( sK6 @ X1 ) @ ( sK5 @ X1 ) )
= $true )
| ( $true
= ( X0 @ ( sK6 @ X1 ) @ ( sK5 @ X1 ) ) )
| ( ( sK1 @ X1 )
!= $true )
| ( ( sK2 @ ( sK9 @ sK11 ) @ ( sK10 @ sK11 ) )
= $true )
| ( ( X1 @ sK3 @ sK4 )
= $true )
| ( ( sK1 @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f24]) ).
thf(f24,plain,
! [X0: a > a > $o,X1: a > a > $o] :
( ( ( sK2 @ ( sK9 @ sK11 ) @ ( sK10 @ sK11 ) )
= $true )
| ( ( sK1 @ X0 )
!= $true )
| ( ( X1 @ sK3 @ sK4 )
= $true )
| ( ( sK0 @ ( sK8 @ X0 ) @ ( sK7 @ X0 ) )
= $true )
| ( ( sK1 @ X1 )
!= $true )
| ( $true
= ( X0 @ ( sK6 @ X1 ) @ ( sK5 @ X1 ) ) )
| ( ( sK11 @ ( sK6 @ X1 ) @ ( sK5 @ X1 ) )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f20,f18]) ).
thf(f20,plain,
! [X11: a > a > $o,X8: a > a > $o,X5: a > a > $o] :
( ( $true
!= ( sK1 @ X11 ) )
| ( ( sK2 @ ( sK9 @ X11 ) @ ( sK10 @ X11 ) )
= $true )
| ( ( sK1 @ X8 )
!= $true )
| ( $true
= ( sK0 @ ( sK8 @ X8 ) @ ( sK7 @ X8 ) ) )
| ( ( X8 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
= $true )
| ( ( X5 @ sK3 @ sK4 )
= $true )
| ( $true
= ( X11 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) ) )
| ( $true
!= ( sK1 @ X5 ) ) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : SEV127^5 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11 % 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
% 0.10/0.30 % Computer : n007.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 11:53:50 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a TH0_THM_NEQ_NAR problem
% 0.10/0.31 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/tmp/tmp.PKBGts6Ouu/Vampire---4.8_29583
% 0.16/0.32 % (29699)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.16/0.32 % (29700)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)
% 0.16/0.32 % (29701)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)
% 0.16/0.32 % (29696)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)
% 0.16/0.32 % (29698)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)
% 0.16/0.32 % (29697)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)
% 0.16/0.32 % (29702)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.16/0.32 % (29699)Instruction limit reached!
% 0.16/0.32 % (29699)------------------------------
% 0.16/0.32 % (29699)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.32 % (29699)Termination reason: Unknown
% 0.16/0.32 % (29699)Termination phase: Preprocessing 3
% 0.16/0.32 % (29700)Instruction limit reached!
% 0.16/0.32 % (29700)------------------------------
% 0.16/0.32 % (29700)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.32
% 0.16/0.32 % (29699)Memory used [KB]: 1023
% 0.16/0.32 % (29699)Time elapsed: 0.003 s
% 0.16/0.32 % (29699)Instructions burned: 2 (million)
% 0.16/0.32 % (29699)------------------------------
% 0.16/0.32 % (29699)------------------------------
% 0.16/0.32 % (29700)Termination reason: Unknown
% 0.16/0.32 % (29700)Termination phase: Property scanning
% 0.16/0.32
% 0.16/0.32 % (29700)Memory used [KB]: 1023
% 0.16/0.32 % (29700)Time elapsed: 0.002 s
% 0.16/0.32 % (29700)Instructions burned: 2 (million)
% 0.16/0.32 % (29700)------------------------------
% 0.16/0.32 % (29700)------------------------------
% 0.16/0.32 % (29703)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)
% 0.16/0.33 % (29697)Instruction limit reached!
% 0.16/0.33 % (29697)------------------------------
% 0.16/0.33 % (29697)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (29697)Termination reason: Unknown
% 0.16/0.33 % (29697)Termination phase: Saturation
% 0.16/0.33
% 0.16/0.33 % (29697)Memory used [KB]: 5500
% 0.16/0.33 % (29697)Time elapsed: 0.004 s
% 0.16/0.33 % (29697)Instructions burned: 5 (million)
% 0.16/0.33 % (29697)------------------------------
% 0.16/0.33 % (29697)------------------------------
% 0.16/0.33 % (29703)Instruction limit reached!
% 0.16/0.33 % (29703)------------------------------
% 0.16/0.33 % (29703)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (29703)Termination reason: Unknown
% 0.16/0.33 % (29703)Termination phase: Saturation
% 0.16/0.33
% 0.16/0.33 % (29703)Memory used [KB]: 5500
% 0.16/0.33 % (29703)Time elapsed: 0.003 s
% 0.16/0.33 % (29703)Instructions burned: 3 (million)
% 0.16/0.33 % (29703)------------------------------
% 0.16/0.33 % (29703)------------------------------
% 0.16/0.33 % (29702)Instruction limit reached!
% 0.16/0.33 % (29702)------------------------------
% 0.16/0.33 % (29702)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (29702)Termination reason: Unknown
% 0.16/0.33 % (29702)Termination phase: Saturation
% 0.16/0.33
% 0.16/0.33 % (29702)Memory used [KB]: 5628
% 0.16/0.33 % (29702)Time elapsed: 0.011 s
% 0.16/0.33 % (29702)Instructions burned: 18 (million)
% 0.16/0.33 % (29702)------------------------------
% 0.16/0.33 % (29702)------------------------------
% 0.16/0.33 % (29698)First to succeed.
% 0.16/0.34 % (29704)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)
% 0.16/0.34 % (29705)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)
% 0.16/0.34 % (29698)Refutation found. Thanks to Tanya!
% 0.16/0.34 % SZS status Theorem for Vampire---4
% 0.16/0.34 % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.34 % (29698)------------------------------
% 0.16/0.34 % (29698)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.34 % (29698)Termination reason: Refutation
% 0.16/0.34
% 0.16/0.34 % (29698)Memory used [KB]: 5628
% 0.16/0.34 % (29698)Time elapsed: 0.015 s
% 0.16/0.34 % (29698)Instructions burned: 17 (million)
% 0.16/0.34 % (29698)------------------------------
% 0.16/0.34 % (29698)------------------------------
% 0.16/0.34 % (29695)Success in time 0.034 s
% 0.16/0.34 % Vampire---4.8 exiting
%------------------------------------------------------------------------------