TSTP Solution File: SEV137^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV137^5 : 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 : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:12:07 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 25
% Syntax : Number of formulae : 81 ( 5 unt; 13 typ; 0 def)
% Number of atoms : 614 ( 212 equ; 0 cnn)
% Maximal formula atoms : 30 ( 9 avg)
% Number of connectives : 734 ( 128 ~; 127 |; 76 &; 352 @)
% ( 7 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 67 ( 67 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 12 con; 0-2 aty)
% Number of variables : 138 ( 0 ^ 90 !; 46 ?; 138 :)
% ( 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 ).
thf(func_def_7,type,
sK2: a ).
thf(func_def_8,type,
sK3: a ).
thf(func_def_9,type,
sK4: ( a > $o ) > a ).
thf(func_def_10,type,
sK5: ( a > $o ) > a ).
thf(func_def_11,type,
sK6: ( a > $o ) > a ).
thf(func_def_12,type,
sK7: ( a > $o ) > a ).
thf(func_def_13,type,
sK8: a > $o ).
thf(func_def_15,type,
ph10:
!>[X0: $tType] : X0 ).
thf(f86,plain,
$false,
inference(avatar_sat_refutation,[],[f33,f40,f53,f58,f61,f71,f82,f85]) ).
thf(f85,plain,
spl9_7,
inference(avatar_contradiction_clause,[],[f84]) ).
thf(f84,plain,
( $false
| spl9_7 ),
inference(trivial_inequality_removal,[],[f83]) ).
thf(f83,plain,
( ( $true != $true )
| spl9_7 ),
inference(superposition,[],[f81,f16]) ).
thf(f16,plain,
( $true
= ( sK8 @ sK3 ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( ! [X4: a > $o] :
( ( ( $true
= ( sK0 @ ( sK4 @ X4 ) @ ( sK5 @ X4 ) ) )
& ( $true
= ( X4 @ ( sK4 @ X4 ) ) )
& ( $true
!= ( X4 @ ( sK5 @ X4 ) ) ) )
| ( $true
= ( X4 @ sK1 ) )
| ( $true
!= ( X4 @ sK3 ) ) )
& ! [X7: a > $o] :
( ( ( X7 @ sK1 )
!= $true )
| ( ( X7 @ sK2 )
= $true )
| ( ( $true
= ( X7 @ ( sK6 @ X7 ) ) )
& ( $true
= ( sK0 @ ( sK6 @ X7 ) @ ( sK7 @ X7 ) ) )
& ( $true
!= ( X7 @ ( sK7 @ X7 ) ) ) ) )
& ( $true
= ( sK8 @ sK3 ) )
& ( $true
!= ( sK8 @ sK2 ) )
& ! [X11: a,X12: a] :
( ( $true
!= ( sK8 @ X12 ) )
| ( $true
= ( sK8 @ X11 ) )
| ( $true
!= ( sK0 @ X12 @ X11 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f8,f12,f11,f10,f9]) ).
thf(f9,plain,
( ? [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ! [X4: a > $o] :
( ? [X5: a,X6: a] :
( ( ( X0 @ X5 @ X6 )
= $true )
& ( ( X4 @ X5 )
= $true )
& ( ( X4 @ X6 )
!= $true ) )
| ( ( X4 @ X1 )
= $true )
| ( ( X4 @ X3 )
!= $true ) )
& ! [X7: a > $o] :
( ( $true
!= ( X7 @ X1 ) )
| ( ( X7 @ X2 )
= $true )
| ? [X8: a,X9: a] :
( ( $true
= ( X7 @ X8 ) )
& ( $true
= ( X0 @ X8 @ X9 ) )
& ( $true
!= ( X7 @ X9 ) ) ) )
& ? [X10: a > $o] :
( ( ( X10 @ X3 )
= $true )
& ( $true
!= ( X10 @ X2 ) )
& ! [X11: a,X12: a] :
( ( $true
!= ( X10 @ X12 ) )
| ( $true
= ( X10 @ X11 ) )
| ( $true
!= ( X0 @ X12 @ X11 ) ) ) ) )
=> ( ! [X4: a > $o] :
( ? [X6: a,X5: a] :
( ( $true
= ( sK0 @ X5 @ X6 ) )
& ( ( X4 @ X5 )
= $true )
& ( ( X4 @ X6 )
!= $true ) )
| ( $true
= ( X4 @ sK1 ) )
| ( $true
!= ( X4 @ sK3 ) ) )
& ! [X7: a > $o] :
( ( ( X7 @ sK1 )
!= $true )
| ( ( X7 @ sK2 )
= $true )
| ? [X9: a,X8: a] :
( ( $true
= ( X7 @ X8 ) )
& ( ( sK0 @ X8 @ X9 )
= $true )
& ( $true
!= ( X7 @ X9 ) ) ) )
& ? [X10: a > $o] :
( ( $true
= ( X10 @ sK3 ) )
& ( $true
!= ( X10 @ sK2 ) )
& ! [X12: a,X11: a] :
( ( $true
!= ( X10 @ X12 ) )
| ( $true
= ( X10 @ X11 ) )
| ( $true
!= ( sK0 @ X12 @ X11 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
! [X4: a > $o] :
( ? [X6: a,X5: a] :
( ( $true
= ( sK0 @ X5 @ X6 ) )
& ( ( X4 @ X5 )
= $true )
& ( ( X4 @ X6 )
!= $true ) )
=> ( ( $true
= ( sK0 @ ( sK4 @ X4 ) @ ( sK5 @ X4 ) ) )
& ( $true
= ( X4 @ ( sK4 @ X4 ) ) )
& ( $true
!= ( X4 @ ( sK5 @ X4 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X7: a > $o] :
( ? [X9: a,X8: a] :
( ( $true
= ( X7 @ X8 ) )
& ( ( sK0 @ X8 @ X9 )
= $true )
& ( $true
!= ( X7 @ X9 ) ) )
=> ( ( $true
= ( X7 @ ( sK6 @ X7 ) ) )
& ( $true
= ( sK0 @ ( sK6 @ X7 ) @ ( sK7 @ X7 ) ) )
& ( $true
!= ( X7 @ ( sK7 @ X7 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
( ? [X10: a > $o] :
( ( $true
= ( X10 @ sK3 ) )
& ( $true
!= ( X10 @ sK2 ) )
& ! [X12: a,X11: a] :
( ( $true
!= ( X10 @ X12 ) )
| ( $true
= ( X10 @ X11 ) )
| ( $true
!= ( sK0 @ X12 @ X11 ) ) ) )
=> ( ( $true
= ( sK8 @ sK3 ) )
& ( $true
!= ( sK8 @ sK2 ) )
& ! [X12: a,X11: a] :
( ( $true
!= ( sK8 @ X12 ) )
| ( $true
= ( sK8 @ X11 ) )
| ( $true
!= ( sK0 @ X12 @ X11 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a > a > $o,X1: a,X2: a,X3: a] :
( ! [X4: a > $o] :
( ? [X5: a,X6: a] :
( ( ( X0 @ X5 @ X6 )
= $true )
& ( ( X4 @ X5 )
= $true )
& ( ( X4 @ X6 )
!= $true ) )
| ( ( X4 @ X1 )
= $true )
| ( ( X4 @ X3 )
!= $true ) )
& ! [X7: a > $o] :
( ( $true
!= ( X7 @ X1 ) )
| ( ( X7 @ X2 )
= $true )
| ? [X8: a,X9: a] :
( ( $true
= ( X7 @ X8 ) )
& ( $true
= ( X0 @ X8 @ X9 ) )
& ( $true
!= ( X7 @ X9 ) ) ) )
& ? [X10: a > $o] :
( ( ( X10 @ X3 )
= $true )
& ( $true
!= ( X10 @ X2 ) )
& ! [X11: a,X12: a] :
( ( $true
!= ( X10 @ X12 ) )
| ( $true
= ( X10 @ X11 ) )
| ( $true
!= ( X0 @ X12 @ X11 ) ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X2: a > a > $o,X3: a,X1: a,X0: a] :
( ! [X4: a > $o] :
( ? [X6: a,X5: a] :
( ( $true
= ( X2 @ X6 @ X5 ) )
& ( ( X4 @ X6 )
= $true )
& ( ( X4 @ X5 )
!= $true ) )
| ( ( X4 @ X3 )
= $true )
| ( $true
!= ( X4 @ X0 ) ) )
& ! [X7: a > $o] :
( ( $true
!= ( X7 @ X3 ) )
| ( $true
= ( X7 @ X1 ) )
| ? [X8: a,X9: a] :
( ( $true
= ( X7 @ X8 ) )
& ( $true
= ( X2 @ X8 @ X9 ) )
& ( $true
!= ( X7 @ X9 ) ) ) )
& ? [X10: a > $o] :
( ( $true
= ( X10 @ X0 ) )
& ( $true
!= ( X10 @ X1 ) )
& ! [X12: a,X11: a] :
( ( $true
!= ( X10 @ X11 ) )
| ( $true
= ( X10 @ X12 ) )
| ( $true
!= ( X2 @ X11 @ X12 ) ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X0: a,X2: a > a > $o,X3: a,X1: a] :
( ? [X10: a > $o] :
( ( $true
!= ( X10 @ X1 ) )
& ( $true
= ( X10 @ X0 ) )
& ! [X12: a,X11: a] :
( ( $true
= ( X10 @ X12 ) )
| ( $true
!= ( X2 @ X11 @ X12 ) )
| ( $true
!= ( X10 @ X11 ) ) ) )
& ! [X4: a > $o] :
( ( ( X4 @ X3 )
= $true )
| ( $true
!= ( X4 @ X0 ) )
| ? [X5: a,X6: a] :
( ( ( X4 @ X5 )
!= $true )
& ( ( X4 @ X6 )
= $true )
& ( $true
= ( X2 @ X6 @ X5 ) ) ) )
& ! [X7: a > $o] :
( ( $true
= ( X7 @ X1 ) )
| ( $true
!= ( X7 @ X3 ) )
| ? [X8: a,X9: a] :
( ( $true
!= ( X7 @ X9 ) )
& ( $true
= ( X7 @ X8 ) )
& ( $true
= ( X2 @ X8 @ X9 ) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a,X2: a > a > $o,X3: a,X1: a] :
( ( ! [X4: a > $o] :
( ! [X5: a,X6: a] :
( ( ( ( X4 @ X6 )
= $true )
& ( $true
= ( X2 @ X6 @ X5 ) ) )
=> ( ( X4 @ X5 )
= $true ) )
=> ( ( $true
= ( X4 @ X0 ) )
=> ( ( X4 @ X3 )
= $true ) ) )
& ! [X7: a > $o] :
( ! [X8: a,X9: a] :
( ( ( $true
= ( X7 @ X8 ) )
& ( $true
= ( X2 @ X8 @ X9 ) ) )
=> ( $true
= ( X7 @ X9 ) ) )
=> ( ( $true
= ( X7 @ X3 ) )
=> ( $true
= ( X7 @ X1 ) ) ) ) )
=> ! [X10: a > $o] :
( ! [X12: a,X11: a] :
( ( ( $true
= ( X2 @ X11 @ X12 ) )
& ( $true
= ( X10 @ X11 ) ) )
=> ( $true
= ( X10 @ X12 ) ) )
=> ( ( $true
= ( X10 @ X0 ) )
=> ( $true
= ( X10 @ X1 ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a,X1: a,X2: a > a > $o,X3: a] :
( ( ! [X4: a > $o] :
( ! [X5: a,X6: a] :
( ( ( X4 @ X6 )
& ( X2 @ X6 @ X5 ) )
=> ( X4 @ X5 ) )
=> ( ( X4 @ X0 )
=> ( X4 @ X3 ) ) )
& ! [X7: a > $o] :
( ! [X8: a,X9: a] :
( ( ( X7 @ X8 )
& ( X2 @ X8 @ X9 ) )
=> ( X7 @ X9 ) )
=> ( ( X7 @ X3 )
=> ( X7 @ X1 ) ) ) )
=> ! [X10: a > $o] :
( ! [X11: a,X12: a] :
( ( ( X2 @ X11 @ X12 )
& ( X10 @ X11 ) )
=> ( X10 @ X12 ) )
=> ( ( X10 @ X0 )
=> ( X10 @ X1 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: a,X3: a,X0: a > a > $o,X2: a] :
( ( ! [X4: a > $o] :
( ! [X6: a,X5: a] :
( ( ( X4 @ X5 )
& ( X0 @ X5 @ X6 ) )
=> ( X4 @ X6 ) )
=> ( ( X4 @ X1 )
=> ( X4 @ X2 ) ) )
& ! [X4: a > $o] :
( ! [X5: a,X6: a] :
( ( ( X4 @ X5 )
& ( X0 @ X5 @ X6 ) )
=> ( X4 @ X6 ) )
=> ( ( X4 @ X2 )
=> ( X4 @ X3 ) ) ) )
=> ! [X4: a > $o] :
( ! [X5: a,X6: a] :
( ( ( X0 @ X5 @ X6 )
& ( X4 @ X5 ) )
=> ( X4 @ X6 ) )
=> ( ( X4 @ X1 )
=> ( X4 @ X3 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X1: a,X3: a,X0: a > a > $o,X2: a] :
( ( ! [X4: a > $o] :
( ! [X6: a,X5: a] :
( ( ( X4 @ X5 )
& ( X0 @ X5 @ X6 ) )
=> ( X4 @ X6 ) )
=> ( ( X4 @ X1 )
=> ( X4 @ X2 ) ) )
& ! [X4: a > $o] :
( ! [X5: a,X6: a] :
( ( ( X4 @ X5 )
& ( X0 @ X5 @ X6 ) )
=> ( X4 @ X6 ) )
=> ( ( X4 @ X2 )
=> ( X4 @ X3 ) ) ) )
=> ! [X4: a > $o] :
( ! [X5: a,X6: a] :
( ( ( X0 @ X5 @ X6 )
& ( X4 @ X5 ) )
=> ( X4 @ X6 ) )
=> ( ( X4 @ X1 )
=> ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM204_pme) ).
thf(f81,plain,
( ( $true
!= ( sK8 @ sK3 ) )
| spl9_7 ),
inference(avatar_component_clause,[],[f79]) ).
thf(f79,plain,
( spl9_7
<=> ( $true
= ( sK8 @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
thf(f82,plain,
( ~ spl9_7
| spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(avatar_split_clause,[],[f77,f37,f30,f26,f79]) ).
thf(f26,plain,
( spl9_1
<=> ( $true
= ( sK8 @ sK1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
thf(f30,plain,
( spl9_2
<=> ( $true
= ( sK8 @ ( sK4 @ sK8 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
thf(f37,plain,
( spl9_3
<=> ( $true
= ( sK0 @ ( sK4 @ sK8 ) @ ( sK5 @ sK8 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
thf(f77,plain,
( ( $true
= ( sK8 @ sK1 ) )
| ( $true
!= ( sK8 @ sK3 ) )
| ~ spl9_2
| ~ spl9_3 ),
inference(trivial_inequality_removal,[],[f76]) ).
thf(f76,plain,
( ( $true != $true )
| ( $true
!= ( sK8 @ sK3 ) )
| ( $true
= ( sK8 @ sK1 ) )
| ~ spl9_2
| ~ spl9_3 ),
inference(superposition,[],[f20,f75]) ).
thf(f75,plain,
( ( $true
= ( sK8 @ ( sK5 @ sK8 ) ) )
| ~ spl9_2
| ~ spl9_3 ),
inference(trivial_inequality_removal,[],[f74]) ).
thf(f74,plain,
( ( $true != $true )
| ( $true
= ( sK8 @ ( sK5 @ sK8 ) ) )
| ~ spl9_2
| ~ spl9_3 ),
inference(forward_demodulation,[],[f73,f32]) ).
thf(f32,plain,
( ( $true
= ( sK8 @ ( sK4 @ sK8 ) ) )
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f30]) ).
thf(f73,plain,
( ( $true
!= ( sK8 @ ( sK4 @ sK8 ) ) )
| ( $true
= ( sK8 @ ( sK5 @ sK8 ) ) )
| ~ spl9_3 ),
inference(trivial_inequality_removal,[],[f72]) ).
thf(f72,plain,
( ( $true
= ( sK8 @ ( sK5 @ sK8 ) ) )
| ( $true
!= ( sK8 @ ( sK4 @ sK8 ) ) )
| ( $true != $true )
| ~ spl9_3 ),
inference(superposition,[],[f14,f39]) ).
thf(f39,plain,
( ( $true
= ( sK0 @ ( sK4 @ sK8 ) @ ( sK5 @ sK8 ) ) )
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f37]) ).
thf(f14,plain,
! [X11: a,X12: a] :
( ( $true
!= ( sK0 @ X12 @ X11 ) )
| ( $true
= ( sK8 @ X11 ) )
| ( $true
!= ( sK8 @ X12 ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f20,plain,
! [X4: a > $o] :
( ( $true
!= ( X4 @ ( sK5 @ X4 ) ) )
| ( $true
!= ( X4 @ sK3 ) )
| ( $true
= ( X4 @ sK1 ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f71,plain,
( spl9_5
| ~ spl9_1
| ~ spl9_4
| ~ spl9_6 ),
inference(avatar_split_clause,[],[f67,f55,f46,f26,f50]) ).
thf(f50,plain,
( spl9_5
<=> ( $true
= ( sK8 @ sK2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
thf(f46,plain,
( spl9_4
<=> ( $true
= ( sK0 @ ( sK6 @ sK8 ) @ ( sK7 @ sK8 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
thf(f55,plain,
( spl9_6
<=> ( $true
= ( sK8 @ ( sK6 @ sK8 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
thf(f67,plain,
( ( $true
= ( sK8 @ sK2 ) )
| ( $true
!= ( sK8 @ sK1 ) )
| ~ spl9_4
| ~ spl9_6 ),
inference(trivial_inequality_removal,[],[f66]) ).
thf(f66,plain,
( ( $true
= ( sK8 @ sK2 ) )
| ( $true
!= ( sK8 @ sK1 ) )
| ( $true != $true )
| ~ spl9_4
| ~ spl9_6 ),
inference(superposition,[],[f17,f65]) ).
thf(f65,plain,
( ( $true
= ( sK8 @ ( sK7 @ sK8 ) ) )
| ~ spl9_4
| ~ spl9_6 ),
inference(trivial_inequality_removal,[],[f64]) ).
thf(f64,plain,
( ( $true
= ( sK8 @ ( sK7 @ sK8 ) ) )
| ( $true != $true )
| ~ spl9_4
| ~ spl9_6 ),
inference(forward_demodulation,[],[f63,f57]) ).
thf(f57,plain,
( ( $true
= ( sK8 @ ( sK6 @ sK8 ) ) )
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f55]) ).
thf(f63,plain,
( ( $true
!= ( sK8 @ ( sK6 @ sK8 ) ) )
| ( $true
= ( sK8 @ ( sK7 @ sK8 ) ) )
| ~ spl9_4 ),
inference(trivial_inequality_removal,[],[f62]) ).
thf(f62,plain,
( ( $true
!= ( sK8 @ ( sK6 @ sK8 ) ) )
| ( $true
= ( sK8 @ ( sK7 @ sK8 ) ) )
| ( $true != $true )
| ~ spl9_4 ),
inference(superposition,[],[f14,f48]) ).
thf(f48,plain,
( ( $true
= ( sK0 @ ( sK6 @ sK8 ) @ ( sK7 @ sK8 ) ) )
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f46]) ).
thf(f17,plain,
! [X7: a > $o] :
( ( $true
!= ( X7 @ ( sK7 @ X7 ) ) )
| ( ( X7 @ sK2 )
= $true )
| ( ( X7 @ sK1 )
!= $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f61,plain,
~ spl9_5,
inference(avatar_contradiction_clause,[],[f60]) ).
thf(f60,plain,
( $false
| ~ spl9_5 ),
inference(trivial_inequality_removal,[],[f59]) ).
thf(f59,plain,
( ( $true != $true )
| ~ spl9_5 ),
inference(superposition,[],[f15,f52]) ).
thf(f52,plain,
( ( $true
= ( sK8 @ sK2 ) )
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f50]) ).
thf(f15,plain,
( $true
!= ( sK8 @ sK2 ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f58,plain,
( spl9_5
| spl9_6
| ~ spl9_1 ),
inference(avatar_split_clause,[],[f43,f26,f55,f50]) ).
thf(f43,plain,
( ( $true
= ( sK8 @ sK2 ) )
| ( $true
= ( sK8 @ ( sK6 @ sK8 ) ) )
| ~ spl9_1 ),
inference(trivial_inequality_removal,[],[f42]) ).
thf(f42,plain,
( ( $true != $true )
| ( $true
= ( sK8 @ sK2 ) )
| ( $true
= ( sK8 @ ( sK6 @ sK8 ) ) )
| ~ spl9_1 ),
inference(superposition,[],[f19,f28]) ).
thf(f28,plain,
( ( $true
= ( sK8 @ sK1 ) )
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f26]) ).
thf(f19,plain,
! [X7: a > $o] :
( ( ( X7 @ sK1 )
!= $true )
| ( $true
= ( X7 @ ( sK6 @ X7 ) ) )
| ( ( X7 @ sK2 )
= $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f53,plain,
( spl9_4
| spl9_5
| ~ spl9_1 ),
inference(avatar_split_clause,[],[f44,f26,f50,f46]) ).
thf(f44,plain,
( ( $true
= ( sK8 @ sK2 ) )
| ( $true
= ( sK0 @ ( sK6 @ sK8 ) @ ( sK7 @ sK8 ) ) )
| ~ spl9_1 ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f41,plain,
( ( $true
= ( sK8 @ sK2 ) )
| ( $true != $true )
| ( $true
= ( sK0 @ ( sK6 @ sK8 ) @ ( sK7 @ sK8 ) ) )
| ~ spl9_1 ),
inference(superposition,[],[f18,f28]) ).
thf(f18,plain,
! [X7: a > $o] :
( ( ( X7 @ sK1 )
!= $true )
| ( $true
= ( sK0 @ ( sK6 @ X7 ) @ ( sK7 @ X7 ) ) )
| ( ( X7 @ sK2 )
= $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f40,plain,
( spl9_1
| spl9_3 ),
inference(avatar_split_clause,[],[f35,f37,f26]) ).
thf(f35,plain,
( ( $true
= ( sK8 @ sK1 ) )
| ( $true
= ( sK0 @ ( sK4 @ sK8 ) @ ( sK5 @ sK8 ) ) ) ),
inference(trivial_inequality_removal,[],[f34]) ).
thf(f34,plain,
( ( $true
= ( sK8 @ sK1 ) )
| ( $true
= ( sK0 @ ( sK4 @ sK8 ) @ ( sK5 @ sK8 ) ) )
| ( $true != $true ) ),
inference(superposition,[],[f22,f16]) ).
thf(f22,plain,
! [X4: a > $o] :
( ( $true
!= ( X4 @ sK3 ) )
| ( $true
= ( sK0 @ ( sK4 @ X4 ) @ ( sK5 @ X4 ) ) )
| ( $true
= ( X4 @ sK1 ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f33,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f24,f30,f26]) ).
thf(f24,plain,
( ( $true
= ( sK8 @ ( sK4 @ sK8 ) ) )
| ( $true
= ( sK8 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f23]) ).
thf(f23,plain,
( ( $true != $true )
| ( $true
= ( sK8 @ sK1 ) )
| ( $true
= ( sK8 @ ( sK4 @ sK8 ) ) ) ),
inference(superposition,[],[f21,f16]) ).
thf(f21,plain,
! [X4: a > $o] :
( ( $true
!= ( X4 @ sK3 ) )
| ( $true
= ( X4 @ ( sK4 @ X4 ) ) )
| ( $true
= ( X4 @ sK1 ) ) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV137^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 19:13:37 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_NEQ_NAR problem
% 0.13/0.34 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % (13629)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 (3000ds/27Mi)
% 0.13/0.36 % (13631)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 (3000ds/2Mi)
% 0.13/0.36 % (13630)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.36 % (13632)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 (3000ds/275Mi)
% 0.13/0.36 % (13630)Instruction limit reached!
% 0.13/0.36 % (13630)------------------------------
% 0.13/0.36 % (13630)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (13630)Termination reason: Unknown
% 0.13/0.36 % (13631)Instruction limit reached!
% 0.13/0.36 % (13631)------------------------------
% 0.13/0.36 % (13631)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (13631)Termination reason: Unknown
% 0.13/0.36 % (13631)Termination phase: Saturation
% 0.13/0.36
% 0.13/0.36 % (13631)Memory used [KB]: 895
% 0.13/0.36 % (13631)Time elapsed: 0.003 s
% 0.13/0.36 % (13631)Instructions burned: 2 (million)
% 0.13/0.36 % (13631)------------------------------
% 0.13/0.36 % (13631)------------------------------
% 0.13/0.36 % (13630)Termination phase: Preprocessing 3
% 0.13/0.36
% 0.13/0.36 % (13630)Memory used [KB]: 1023
% 0.13/0.36 % (13630)Time elapsed: 0.003 s
% 0.13/0.36 % (13630)Instructions burned: 2 (million)
% 0.13/0.36 % (13630)------------------------------
% 0.13/0.36 % (13630)------------------------------
% 0.13/0.37 % (13634)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.13/0.37 % (13634)Instruction limit reached!
% 0.13/0.37 % (13634)------------------------------
% 0.13/0.37 % (13634)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (13634)Termination reason: Unknown
% 0.13/0.37 % (13634)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (13634)Memory used [KB]: 5500
% 0.13/0.37 % (13634)Time elapsed: 0.004 s
% 0.13/0.37 % (13634)Instructions burned: 3 (million)
% 0.13/0.37 % (13634)------------------------------
% 0.13/0.37 % (13634)------------------------------
% 0.13/0.37 % (13629)First to succeed.
% 0.13/0.37 % (13633)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.37 % (13629)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (13629)------------------------------
% 0.13/0.37 % (13629)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (13629)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (13629)Memory used [KB]: 5628
% 0.13/0.37 % (13629)Time elapsed: 0.010 s
% 0.13/0.37 % (13629)Instructions burned: 8 (million)
% 0.13/0.37 % (13629)------------------------------
% 0.13/0.37 % (13629)------------------------------
% 0.13/0.37 % (13626)Success in time 0.033 s
% 0.13/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------