TSTP Solution File: SEV120^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV120^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n028.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 : Mon Jun 24 16:01:53 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 73 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 666 ( 220 equ; 0 cnn)
% Maximal formula atoms : 30 ( 9 avg)
% Number of connectives : 945 ( 124 ~; 129 |; 88 &; 565 @)
% ( 7 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 100 ( 100 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 175 ( 0 ^ 117 !; 58 ?; 175 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_4,type,
sK0: a ).
thf(func_def_5,type,
sK1: a ).
thf(func_def_6,type,
sK2: a ).
thf(func_def_7,type,
sK3: ( a > a > $o ) > $o ).
thf(func_def_8,type,
sK4: ( a > a > $o ) > a ).
thf(func_def_9,type,
sK5: ( a > a > $o ) > a ).
thf(func_def_10,type,
sK6: ( a > a > $o ) > a ).
thf(func_def_11,type,
sK7: ( a > a > $o ) > a ).
thf(func_def_12,type,
sK8: ( a > a > $o ) > a ).
thf(func_def_13,type,
sK9: ( a > a > $o ) > a ).
thf(func_def_14,type,
sK10: a > a > $o ).
thf(func_def_17,type,
ph12:
!>[X0: $tType] : X0 ).
thf(f95,plain,
$false,
inference(avatar_sat_refutation,[],[f33,f40,f55,f62,f68,f79,f84,f94]) ).
thf(f94,plain,
( spl11_2
| ~ spl11_3
| ~ spl11_7 ),
inference(avatar_contradiction_clause,[],[f93]) ).
thf(f93,plain,
( $false
| spl11_2
| ~ spl11_3
| ~ spl11_7 ),
inference(subsumption_resolution,[],[f92,f32]) ).
thf(f32,plain,
( ( $true
!= ( sK10 @ ( sK8 @ sK10 ) @ ( sK7 @ sK10 ) ) )
| spl11_2 ),
inference(avatar_component_clause,[],[f30]) ).
thf(f30,plain,
( spl11_2
<=> ( $true
= ( sK10 @ ( sK8 @ sK10 ) @ ( sK7 @ sK10 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
thf(f92,plain,
( ( $true
= ( sK10 @ ( sK8 @ sK10 ) @ ( sK7 @ sK10 ) ) )
| ~ spl11_3
| ~ spl11_7 ),
inference(trivial_inequality_removal,[],[f91]) ).
thf(f91,plain,
( ( $true
= ( sK10 @ ( sK8 @ sK10 ) @ ( sK7 @ sK10 ) ) )
| ( $true != $true )
| ~ spl11_3
| ~ spl11_7 ),
inference(superposition,[],[f90,f39]) ).
thf(f39,plain,
( ( ( sK10 @ ( sK8 @ sK10 ) @ ( sK9 @ sK10 ) )
= $true )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f37]) ).
thf(f37,plain,
( spl11_3
<=> ( ( sK10 @ ( sK8 @ sK10 ) @ ( sK9 @ sK10 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
thf(f90,plain,
( ! [X0: a] :
( ( $true
!= ( sK10 @ X0 @ ( sK9 @ sK10 ) ) )
| ( $true
= ( sK10 @ X0 @ ( sK7 @ sK10 ) ) ) )
| ~ spl11_7 ),
inference(trivial_inequality_removal,[],[f89]) ).
thf(f89,plain,
( ! [X0: a] :
( ( $true
!= ( sK10 @ X0 @ ( sK9 @ sK10 ) ) )
| ( $true
= ( sK10 @ X0 @ ( sK7 @ sK10 ) ) )
| ( $true != $true ) )
| ~ spl11_7 ),
inference(superposition,[],[f14,f83]) ).
thf(f83,plain,
( ( $true
= ( sK10 @ ( sK9 @ sK10 ) @ ( sK7 @ sK10 ) ) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f81]) ).
thf(f81,plain,
( spl11_7
<=> ( $true
= ( sK10 @ ( sK9 @ sK10 ) @ ( sK7 @ sK10 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
thf(f14,plain,
! [X14: a,X15: a,X13: a] :
( ( $true
!= ( sK10 @ X14 @ X13 ) )
| ( $true
= ( sK10 @ X15 @ X13 ) )
| ( ( sK10 @ X15 @ X14 )
!= $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( ! [X4: a > a > $o] :
( ( $true
!= ( sK3 @ X4 ) )
| ( $true
= ( X4 @ sK0 @ sK1 ) )
| ( ( $true
= ( X4 @ ( sK6 @ X4 ) @ ( sK5 @ X4 ) ) )
& ( $true
= ( X4 @ ( sK5 @ X4 ) @ ( sK4 @ X4 ) ) )
& ( $true
!= ( X4 @ ( sK6 @ X4 ) @ ( sK4 @ X4 ) ) ) ) )
& ! [X8: a > a > $o] :
( ( ( X8 @ sK1 @ sK2 )
= $true )
| ( $true
!= ( sK3 @ X8 ) )
| ( ( $true
= ( X8 @ ( sK9 @ X8 ) @ ( sK7 @ X8 ) ) )
& ( ( X8 @ ( sK8 @ X8 ) @ ( sK9 @ X8 ) )
= $true )
& ( ( X8 @ ( sK8 @ X8 ) @ ( sK7 @ X8 ) )
!= $true ) ) )
& ( ( sK3 @ sK10 )
= $true )
& ( ( sK10 @ sK0 @ sK2 )
!= $true )
& ! [X13: a,X14: a,X15: a] :
( ( $true
= ( sK10 @ X15 @ X13 ) )
| ( $true
!= ( sK10 @ X14 @ X13 ) )
| ( ( sK10 @ X15 @ X14 )
!= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f8,f12,f11,f10,f9]) ).
thf(f9,plain,
( ? [X0: a,X1: a,X2: a,X3: ( a > a > $o ) > $o] :
( ! [X4: a > a > $o] :
( ( $true
!= ( X3 @ X4 ) )
| ( ( X4 @ X0 @ X1 )
= $true )
| ? [X5: a,X6: a,X7: a] :
( ( $true
= ( X4 @ X7 @ X6 ) )
& ( $true
= ( X4 @ X6 @ X5 ) )
& ( ( X4 @ X7 @ X5 )
!= $true ) ) )
& ! [X8: a > a > $o] :
( ( ( X8 @ X1 @ X2 )
= $true )
| ( ( X3 @ X8 )
!= $true )
| ? [X9: a,X10: a,X11: a] :
( ( ( X8 @ X11 @ X9 )
= $true )
& ( $true
= ( X8 @ X10 @ X11 ) )
& ( $true
!= ( X8 @ X10 @ X9 ) ) ) )
& ? [X12: a > a > $o] :
( ( $true
= ( X3 @ X12 ) )
& ( $true
!= ( X12 @ X0 @ X2 ) )
& ! [X13: a,X14: a,X15: a] :
( ( $true
= ( X12 @ X15 @ X13 ) )
| ( ( X12 @ X14 @ X13 )
!= $true )
| ( $true
!= ( X12 @ X15 @ X14 ) ) ) ) )
=> ( ! [X4: a > a > $o] :
( ( $true
!= ( sK3 @ X4 ) )
| ( $true
= ( X4 @ sK0 @ sK1 ) )
| ? [X5: a,X6: a,X7: a] :
( ( $true
= ( X4 @ X7 @ X6 ) )
& ( $true
= ( X4 @ X6 @ X5 ) )
& ( ( X4 @ X7 @ X5 )
!= $true ) ) )
& ! [X8: a > a > $o] :
( ( ( X8 @ sK1 @ sK2 )
= $true )
| ( $true
!= ( sK3 @ X8 ) )
| ? [X9: a,X10: a,X11: a] :
( ( ( X8 @ X11 @ X9 )
= $true )
& ( $true
= ( X8 @ X10 @ X11 ) )
& ( $true
!= ( X8 @ X10 @ X9 ) ) ) )
& ? [X12: a > a > $o] :
( ( ( sK3 @ X12 )
= $true )
& ( $true
!= ( X12 @ sK0 @ sK2 ) )
& ! [X13: a,X14: a,X15: a] :
( ( $true
= ( X12 @ X15 @ X13 ) )
| ( ( X12 @ X14 @ X13 )
!= $true )
| ( $true
!= ( X12 @ X15 @ X14 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
! [X4: a > a > $o] :
( ? [X5: a,X6: a,X7: a] :
( ( $true
= ( X4 @ X7 @ X6 ) )
& ( $true
= ( X4 @ X6 @ X5 ) )
& ( ( X4 @ X7 @ X5 )
!= $true ) )
=> ( ( $true
= ( X4 @ ( sK6 @ X4 ) @ ( sK5 @ X4 ) ) )
& ( $true
= ( X4 @ ( sK5 @ X4 ) @ ( sK4 @ X4 ) ) )
& ( $true
!= ( X4 @ ( sK6 @ X4 ) @ ( sK4 @ X4 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X8: a > a > $o] :
( ? [X9: a,X10: a,X11: a] :
( ( ( X8 @ X11 @ X9 )
= $true )
& ( $true
= ( X8 @ X10 @ X11 ) )
& ( $true
!= ( X8 @ X10 @ X9 ) ) )
=> ( ( $true
= ( X8 @ ( sK9 @ X8 ) @ ( sK7 @ X8 ) ) )
& ( ( X8 @ ( sK8 @ X8 ) @ ( sK9 @ X8 ) )
= $true )
& ( ( X8 @ ( sK8 @ X8 ) @ ( sK7 @ X8 ) )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
( ? [X12: a > a > $o] :
( ( ( sK3 @ X12 )
= $true )
& ( $true
!= ( X12 @ sK0 @ sK2 ) )
& ! [X13: a,X14: a,X15: a] :
( ( $true
= ( X12 @ X15 @ X13 ) )
| ( ( X12 @ X14 @ X13 )
!= $true )
| ( $true
!= ( X12 @ X15 @ X14 ) ) ) )
=> ( ( ( sK3 @ sK10 )
= $true )
& ( ( sK10 @ sK0 @ sK2 )
!= $true )
& ! [X15: a,X14: a,X13: a] :
( ( $true
= ( sK10 @ X15 @ X13 ) )
| ( $true
!= ( sK10 @ X14 @ X13 ) )
| ( ( sK10 @ X15 @ X14 )
!= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a,X1: a,X2: a,X3: ( a > a > $o ) > $o] :
( ! [X4: a > a > $o] :
( ( $true
!= ( X3 @ X4 ) )
| ( ( X4 @ X0 @ X1 )
= $true )
| ? [X5: a,X6: a,X7: a] :
( ( $true
= ( X4 @ X7 @ X6 ) )
& ( $true
= ( X4 @ X6 @ X5 ) )
& ( ( X4 @ X7 @ X5 )
!= $true ) ) )
& ! [X8: a > a > $o] :
( ( ( X8 @ X1 @ X2 )
= $true )
| ( ( X3 @ X8 )
!= $true )
| ? [X9: a,X10: a,X11: a] :
( ( ( X8 @ X11 @ X9 )
= $true )
& ( $true
= ( X8 @ X10 @ X11 ) )
& ( $true
!= ( X8 @ X10 @ X9 ) ) ) )
& ? [X12: a > a > $o] :
( ( $true
= ( X3 @ X12 ) )
& ( $true
!= ( X12 @ X0 @ X2 ) )
& ! [X13: a,X14: a,X15: a] :
( ( $true
= ( X12 @ X15 @ X13 ) )
| ( ( X12 @ X14 @ X13 )
!= $true )
| ( $true
!= ( X12 @ X15 @ X14 ) ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X2: a,X3: a,X1: a,X0: ( a > a > $o ) > $o] :
( ! [X4: a > a > $o] :
( ( ( X0 @ X4 )
!= $true )
| ( ( X4 @ X2 @ X3 )
= $true )
| ? [X7: a,X6: a,X5: a] :
( ( ( X4 @ X5 @ X6 )
= $true )
& ( ( X4 @ X6 @ X7 )
= $true )
& ( ( X4 @ X5 @ X7 )
!= $true ) ) )
& ! [X8: a > a > $o] :
( ( ( X8 @ X3 @ X1 )
= $true )
| ( ( X0 @ X8 )
!= $true )
| ? [X10: a,X9: a,X11: a] :
( ( $true
= ( X8 @ X11 @ X10 ) )
& ( $true
= ( X8 @ X9 @ X11 ) )
& ( $true
!= ( X8 @ X9 @ X10 ) ) ) )
& ? [X12: a > a > $o] :
( ( ( X0 @ X12 )
= $true )
& ( $true
!= ( X12 @ X2 @ X1 ) )
& ! [X13: a,X15: a,X14: a] :
( ( ( X12 @ X14 @ X13 )
= $true )
| ( $true
!= ( X12 @ X15 @ X13 ) )
| ( $true
!= ( X12 @ X14 @ X15 ) ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X0: ( a > a > $o ) > $o,X1: a,X3: a,X2: a] :
( ? [X12: a > a > $o] :
( ( $true
!= ( X12 @ X2 @ X1 ) )
& ! [X13: a,X14: a,X15: a] :
( ( ( X12 @ X14 @ X13 )
= $true )
| ( $true
!= ( X12 @ X14 @ X15 ) )
| ( $true
!= ( X12 @ X15 @ X13 ) ) )
& ( ( X0 @ X12 )
= $true ) )
& ! [X4: a > a > $o] :
( ( ( X4 @ X2 @ X3 )
= $true )
| ( ( X0 @ X4 )
!= $true )
| ? [X5: a,X7: a,X6: a] :
( ( ( X4 @ X5 @ X7 )
!= $true )
& ( ( X4 @ X5 @ X6 )
= $true )
& ( ( X4 @ X6 @ X7 )
= $true ) ) )
& ! [X8: a > a > $o] :
( ( ( X8 @ X3 @ X1 )
= $true )
| ( ( X0 @ X8 )
!= $true )
| ? [X9: a,X11: a,X10: a] :
( ( $true
!= ( X8 @ X9 @ X10 ) )
& ( $true
= ( X8 @ X11 @ X10 ) )
& ( $true
= ( X8 @ X9 @ X11 ) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: ( a > a > $o ) > $o,X1: a,X3: a,X2: a] :
( ( ! [X4: a > a > $o] :
( ( ( ( X0 @ X4 )
= $true )
& ! [X5: a,X7: a,X6: a] :
( ( ( ( X4 @ X5 @ X6 )
= $true )
& ( ( X4 @ X6 @ X7 )
= $true ) )
=> ( ( X4 @ X5 @ X7 )
= $true ) ) )
=> ( ( X4 @ X2 @ X3 )
= $true ) )
& ! [X8: a > a > $o] :
( ( ( ( X0 @ X8 )
= $true )
& ! [X9: a,X11: a,X10: a] :
( ( ( $true
= ( X8 @ X11 @ X10 ) )
& ( $true
= ( X8 @ X9 @ X11 ) ) )
=> ( $true
= ( X8 @ X9 @ X10 ) ) ) )
=> ( ( X8 @ X3 @ X1 )
= $true ) ) )
=> ! [X12: a > a > $o] :
( ( ! [X13: a,X14: a,X15: a] :
( ( ( $true
= ( X12 @ X14 @ X15 ) )
& ( $true
= ( X12 @ X15 @ X13 ) ) )
=> ( ( X12 @ X14 @ X13 )
= $true ) )
& ( ( X0 @ X12 )
= $true ) )
=> ( $true
= ( X12 @ X2 @ X1 ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: ( a > a > $o ) > $o,X1: a,X2: a,X3: a] :
( ( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a,X7: a] :
( ( ( X4 @ X6 @ X7 )
& ( X4 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X7 ) )
& ( X0 @ X4 ) )
=> ( X4 @ X2 @ X3 ) )
& ! [X8: a > a > $o] :
( ( ( X0 @ X8 )
& ! [X9: a,X10: a,X11: a] :
( ( ( X8 @ X9 @ X11 )
& ( X8 @ X11 @ X10 ) )
=> ( X8 @ X9 @ X10 ) ) )
=> ( X8 @ X3 @ X1 ) ) )
=> ! [X12: a > a > $o] :
( ( ( X0 @ X12 )
& ! [X13: a,X14: a,X15: a] :
( ( ( X12 @ X14 @ X15 )
& ( X12 @ X15 @ X13 ) )
=> ( X12 @ X14 @ X13 ) ) )
=> ( X12 @ X2 @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: ( a > a > $o ) > $o,X3: a,X1: a,X2: a] :
( ( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a,X7: a] :
( ( ( X4 @ X6 @ X7 )
& ( X4 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X7 ) )
& ( X0 @ X4 ) )
=> ( X4 @ X1 @ X2 ) )
& ! [X4: a > a > $o] :
( ( ( X0 @ X4 )
& ! [X5: a,X7: a,X6: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X7 ) )
=> ( X4 @ X5 @ X7 ) ) )
=> ( X4 @ X2 @ X3 ) ) )
=> ! [X4: a > a > $o] :
( ( ( X0 @ X4 )
& ! [X7: a,X5: a,X6: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X7 ) )
=> ( X4 @ X5 @ X7 ) ) )
=> ( X4 @ X1 @ X3 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: ( a > a > $o ) > $o,X3: a,X1: a,X2: a] :
( ( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a,X7: a] :
( ( ( X4 @ X6 @ X7 )
& ( X4 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X7 ) )
& ( X0 @ X4 ) )
=> ( X4 @ X1 @ X2 ) )
& ! [X4: a > a > $o] :
( ( ( X0 @ X4 )
& ! [X5: a,X7: a,X6: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X7 ) )
=> ( X4 @ X5 @ X7 ) ) )
=> ( X4 @ X2 @ X3 ) ) )
=> ! [X4: a > a > $o] :
( ( ( X0 @ X4 )
& ! [X7: a,X5: a,X6: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X7 ) )
=> ( X4 @ X5 @ X7 ) ) )
=> ( X4 @ X1 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM70_pme) ).
thf(f84,plain,
( spl11_7
| spl11_1 ),
inference(avatar_split_clause,[],[f44,f26,f81]) ).
thf(f26,plain,
( spl11_1
<=> ( ( sK10 @ sK1 @ sK2 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
thf(f44,plain,
( ( $true
= ( sK10 @ ( sK9 @ sK10 ) @ ( sK7 @ sK10 ) ) )
| ( ( sK10 @ sK1 @ sK2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f43]) ).
thf(f43,plain,
( ( ( sK10 @ sK1 @ sK2 )
= $true )
| ( $true
= ( sK10 @ ( sK9 @ sK10 ) @ ( sK7 @ sK10 ) ) )
| ( $true != $true ) ),
inference(superposition,[],[f19,f16]) ).
thf(f16,plain,
( ( sK3 @ sK10 )
= $true ),
inference(cnf_transformation,[],[f13]) ).
thf(f19,plain,
! [X8: a > a > $o] :
( ( $true
!= ( sK3 @ X8 ) )
| ( ( X8 @ sK1 @ sK2 )
= $true )
| ( $true
= ( X8 @ ( sK9 @ X8 ) @ ( sK7 @ X8 ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f79,plain,
( spl11_4
| spl11_5
| ~ spl11_6 ),
inference(avatar_contradiction_clause,[],[f78]) ).
thf(f78,plain,
( $false
| spl11_4
| spl11_5
| ~ spl11_6 ),
inference(subsumption_resolution,[],[f76,f50]) ).
thf(f50,plain,
( ( $true
!= ( sK10 @ ( sK6 @ sK10 ) @ ( sK4 @ sK10 ) ) )
| spl11_4 ),
inference(avatar_component_clause,[],[f48]) ).
thf(f48,plain,
( spl11_4
<=> ( $true
= ( sK10 @ ( sK6 @ sK10 ) @ ( sK4 @ sK10 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
thf(f76,plain,
( ( $true
= ( sK10 @ ( sK6 @ sK10 ) @ ( sK4 @ sK10 ) ) )
| spl11_5
| ~ spl11_6 ),
inference(trivial_inequality_removal,[],[f74]) ).
thf(f74,plain,
( ( $true != $true )
| ( $true
= ( sK10 @ ( sK6 @ sK10 ) @ ( sK4 @ sK10 ) ) )
| spl11_5
| ~ spl11_6 ),
inference(superposition,[],[f70,f73]) ).
thf(f73,plain,
( ( ( sK10 @ ( sK6 @ sK10 ) @ ( sK5 @ sK10 ) )
= $true )
| spl11_5 ),
inference(subsumption_resolution,[],[f72,f53]) ).
thf(f53,plain,
( ( $true
!= ( sK10 @ sK0 @ sK1 ) )
| spl11_5 ),
inference(avatar_component_clause,[],[f52]) ).
thf(f52,plain,
( spl11_5
<=> ( $true
= ( sK10 @ sK0 @ sK1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
thf(f72,plain,
( ( $true
= ( sK10 @ sK0 @ sK1 ) )
| ( ( sK10 @ ( sK6 @ sK10 ) @ ( sK5 @ sK10 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f71]) ).
thf(f71,plain,
( ( $true != $true )
| ( ( sK10 @ ( sK6 @ sK10 ) @ ( sK5 @ sK10 ) )
= $true )
| ( $true
= ( sK10 @ sK0 @ sK1 ) ) ),
inference(superposition,[],[f22,f16]) ).
thf(f22,plain,
! [X4: a > a > $o] :
( ( $true
!= ( sK3 @ X4 ) )
| ( $true
= ( X4 @ ( sK6 @ X4 ) @ ( sK5 @ X4 ) ) )
| ( $true
= ( X4 @ sK0 @ sK1 ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f70,plain,
( ! [X0: a] :
( ( $true
!= ( sK10 @ X0 @ ( sK5 @ sK10 ) ) )
| ( $true
= ( sK10 @ X0 @ ( sK4 @ sK10 ) ) ) )
| ~ spl11_6 ),
inference(trivial_inequality_removal,[],[f69]) ).
thf(f69,plain,
( ! [X0: a] :
( ( $true != $true )
| ( $true
!= ( sK10 @ X0 @ ( sK5 @ sK10 ) ) )
| ( $true
= ( sK10 @ X0 @ ( sK4 @ sK10 ) ) ) )
| ~ spl11_6 ),
inference(superposition,[],[f14,f61]) ).
thf(f61,plain,
( ( $true
= ( sK10 @ ( sK5 @ sK10 ) @ ( sK4 @ sK10 ) ) )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f59]) ).
thf(f59,plain,
( spl11_6
<=> ( $true
= ( sK10 @ ( sK5 @ sK10 ) @ ( sK4 @ sK10 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
thf(f68,plain,
( ~ spl11_1
| ~ spl11_5 ),
inference(avatar_contradiction_clause,[],[f67]) ).
thf(f67,plain,
( $false
| ~ spl11_1
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f65,f15]) ).
thf(f15,plain,
( ( sK10 @ sK0 @ sK2 )
!= $true ),
inference(cnf_transformation,[],[f13]) ).
thf(f65,plain,
( ( ( sK10 @ sK0 @ sK2 )
= $true )
| ~ spl11_1
| ~ spl11_5 ),
inference(trivial_inequality_removal,[],[f63]) ).
thf(f63,plain,
( ( $true != $true )
| ( ( sK10 @ sK0 @ sK2 )
= $true )
| ~ spl11_1
| ~ spl11_5 ),
inference(superposition,[],[f42,f54]) ).
thf(f54,plain,
( ( $true
= ( sK10 @ sK0 @ sK1 ) )
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f52]) ).
thf(f42,plain,
( ! [X0: a] :
( ( ( sK10 @ X0 @ sK1 )
!= $true )
| ( $true
= ( sK10 @ X0 @ sK2 ) ) )
| ~ spl11_1 ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f41,plain,
( ! [X0: a] :
( ( $true != $true )
| ( $true
= ( sK10 @ X0 @ sK2 ) )
| ( ( sK10 @ X0 @ sK1 )
!= $true ) )
| ~ spl11_1 ),
inference(superposition,[],[f14,f28]) ).
thf(f28,plain,
( ( ( sK10 @ sK1 @ sK2 )
= $true )
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f26]) ).
thf(f62,plain,
( spl11_6
| spl11_5 ),
inference(avatar_split_clause,[],[f57,f52,f59]) ).
thf(f57,plain,
( ( $true
= ( sK10 @ ( sK5 @ sK10 ) @ ( sK4 @ sK10 ) ) )
| ( $true
= ( sK10 @ sK0 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f56,plain,
( ( $true
= ( sK10 @ sK0 @ sK1 ) )
| ( $true
= ( sK10 @ ( sK5 @ sK10 ) @ ( sK4 @ sK10 ) ) )
| ( $true != $true ) ),
inference(superposition,[],[f21,f16]) ).
thf(f21,plain,
! [X4: a > a > $o] :
( ( $true
!= ( sK3 @ X4 ) )
| ( $true
= ( X4 @ ( sK5 @ X4 ) @ ( sK4 @ X4 ) ) )
| ( $true
= ( X4 @ sK0 @ sK1 ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f55,plain,
( ~ spl11_4
| spl11_5 ),
inference(avatar_split_clause,[],[f46,f52,f48]) ).
thf(f46,plain,
( ( $true
= ( sK10 @ sK0 @ sK1 ) )
| ( $true
!= ( sK10 @ ( sK6 @ sK10 ) @ ( sK4 @ sK10 ) ) ) ),
inference(trivial_inequality_removal,[],[f45]) ).
thf(f45,plain,
( ( $true
= ( sK10 @ sK0 @ sK1 ) )
| ( $true
!= ( sK10 @ ( sK6 @ sK10 ) @ ( sK4 @ sK10 ) ) )
| ( $true != $true ) ),
inference(superposition,[],[f20,f16]) ).
thf(f20,plain,
! [X4: a > a > $o] :
( ( $true
!= ( sK3 @ X4 ) )
| ( $true
!= ( X4 @ ( sK6 @ X4 ) @ ( sK4 @ X4 ) ) )
| ( $true
= ( X4 @ sK0 @ sK1 ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f40,plain,
( spl11_3
| spl11_1 ),
inference(avatar_split_clause,[],[f35,f26,f37]) ).
thf(f35,plain,
( ( ( sK10 @ sK1 @ sK2 )
= $true )
| ( ( sK10 @ ( sK8 @ sK10 ) @ ( sK9 @ sK10 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f34]) ).
thf(f34,plain,
( ( ( sK10 @ sK1 @ sK2 )
= $true )
| ( $true != $true )
| ( ( sK10 @ ( sK8 @ sK10 ) @ ( sK9 @ sK10 ) )
= $true ) ),
inference(superposition,[],[f18,f16]) ).
thf(f18,plain,
! [X8: a > a > $o] :
( ( $true
!= ( sK3 @ X8 ) )
| ( ( X8 @ ( sK8 @ X8 ) @ ( sK9 @ X8 ) )
= $true )
| ( ( X8 @ sK1 @ sK2 )
= $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f33,plain,
( spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f24,f30,f26]) ).
thf(f24,plain,
( ( ( sK10 @ sK1 @ sK2 )
= $true )
| ( $true
!= ( sK10 @ ( sK8 @ sK10 ) @ ( sK7 @ sK10 ) ) ) ),
inference(trivial_inequality_removal,[],[f23]) ).
thf(f23,plain,
( ( $true != $true )
| ( $true
!= ( sK10 @ ( sK8 @ sK10 ) @ ( sK7 @ sK10 ) ) )
| ( ( sK10 @ sK1 @ sK2 )
= $true ) ),
inference(superposition,[],[f17,f16]) ).
thf(f17,plain,
! [X8: a > a > $o] :
( ( $true
!= ( sK3 @ X8 ) )
| ( ( X8 @ sK1 @ sK2 )
= $true )
| ( ( X8 @ ( sK8 @ X8 ) @ ( sK7 @ X8 ) )
!= $true ) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV120^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 18:57:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.21/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.21/0.35 Running higher-order theorem proving
% 0.21/0.35 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.21/0.37 % (23945)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)
% 0.21/0.37 % (23944)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.37 % (23942)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)
% 0.21/0.37 % (23941)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.37 % (23943)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)
% 0.21/0.37 % (23946)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)
% 0.21/0.37 % (23947)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.37 % (23944)Instruction limit reached!
% 0.21/0.37 % (23944)------------------------------
% 0.21/0.37 % (23944)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.37 % (23944)Termination reason: Unknown
% 0.21/0.37 % (23944)Termination phase: Property scanning
% 0.21/0.37
% 0.21/0.37 % (23944)Memory used [KB]: 1023
% 0.21/0.37 % (23944)Time elapsed: 0.004 s
% 0.21/0.37 % (23944)Instructions burned: 2 (million)
% 0.21/0.37 % (23944)------------------------------
% 0.21/0.37 % (23944)------------------------------
% 0.21/0.37 % (23945)Instruction limit reached!
% 0.21/0.37 % (23945)------------------------------
% 0.21/0.37 % (23945)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.37 % (23945)Termination reason: Unknown
% 0.21/0.37 % (23945)Termination phase: Saturation
% 0.21/0.37
% 0.21/0.37 % (23945)Memory used [KB]: 1023
% 0.21/0.37 % (23945)Time elapsed: 0.004 s
% 0.21/0.37 % (23945)Instructions burned: 3 (million)
% 0.21/0.37 % (23945)------------------------------
% 0.21/0.37 % (23945)------------------------------
% 0.21/0.38 % (23942)Instruction limit reached!
% 0.21/0.38 % (23942)------------------------------
% 0.21/0.38 % (23942)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.38 % (23942)Termination reason: Unknown
% 0.21/0.38 % (23942)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (23942)Memory used [KB]: 5500
% 0.21/0.38 % (23942)Time elapsed: 0.005 s
% 0.21/0.38 % (23942)Instructions burned: 4 (million)
% 0.21/0.38 % (23942)------------------------------
% 0.21/0.38 % (23942)------------------------------
% 0.21/0.38 % (23947)First to succeed.
% 0.21/0.39 % (23943)Also succeeded, but the first one will report.
% 0.21/0.39 % (23947)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (23947)------------------------------
% 0.21/0.39 % (23947)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (23947)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (23947)Memory used [KB]: 5628
% 0.21/0.39 % (23947)Time elapsed: 0.015 s
% 0.21/0.39 % (23947)Instructions burned: 12 (million)
% 0.21/0.39 % (23947)------------------------------
% 0.21/0.39 % (23947)------------------------------
% 0.21/0.39 % (23939)Success in time 0.029 s
%------------------------------------------------------------------------------