TSTP Solution File: SEV126^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV126^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.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 04:12:04 EDT 2024
% Result : Theorem 0.15s 0.41s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 21
% Syntax : Number of formulae : 60 ( 6 unt; 13 typ; 0 def)
% Number of atoms : 619 ( 216 equ; 0 cnn)
% Maximal formula atoms : 32 ( 13 avg)
% Number of connectives : 907 ( 100 ~; 103 |; 94 &; 567 @)
% ( 2 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 173 ( 173 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 6 con; 0-4 aty)
% Number of variables : 212 ( 0 ^ 157 !; 54 ?; 212 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_4,type,
sK0: ( a > a > $o ) > $o ).
thf(func_def_5,type,
sK1: a ).
thf(func_def_6,type,
sK2: a > a > $o ).
thf(func_def_7,type,
sK3: a > a > $o ).
thf(func_def_8,type,
sK4: 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 ).
thf(func_def_12,type,
sK8: a > a > a > a > $o ).
thf(func_def_13,type,
sK9: a > a > a > a > $o ).
thf(func_def_16,type,
ph11:
!>[X0: $tType] : X0 ).
thf(f62,plain,
$false,
inference(avatar_sat_refutation,[],[f47,f54,f61]) ).
thf(f61,plain,
~ spl10_1,
inference(avatar_contradiction_clause,[],[f60]) ).
thf(f60,plain,
( $false
| ~ spl10_1 ),
inference(subsumption_resolution,[],[f59,f31]) ).
thf(f31,plain,
( ( sK7 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
!= $true ),
inference(subsumption_resolution,[],[f28,f15]) ).
thf(f15,plain,
( ( sK7 @ sK1 @ sK4 )
!= $true ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
( ! [X5: a > a > $o] :
( ( ( ( X5 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
!= $true )
& ( ( ( sK3 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
= $true )
| ( ( sK2 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
= $true ) ) )
| ( ( sK0 @ X5 )
!= $true )
| ( ( X5 @ sK1 @ sK4 )
= $true ) )
& ! [X9: a,X10: a] :
( ( ( sK7 @ X9 @ X10 )
= $true )
| ( ( ( sK0 @ ( sK8 @ X10 @ X9 ) )
= $true )
& ! [X12: a,X13: a] :
( ( ( sK2 @ X12 @ X13 )
!= $true )
| ( ( sK8 @ X10 @ X9 @ X12 @ X13 )
= $true ) )
& ( ( sK8 @ X10 @ X9 @ X9 @ X10 )
!= $true )
& ( ( sK9 @ X10 @ X9 @ X9 @ X10 )
!= $true )
& ( ( sK0 @ ( sK9 @ X10 @ X9 ) )
= $true )
& ! [X15: a,X16: a] :
( ( ( sK9 @ X10 @ X9 @ X15 @ X16 )
= $true )
| ( ( sK3 @ X15 @ X16 )
!= $true ) ) ) )
& ( ( sK0 @ sK7 )
= $true )
& ( ( sK7 @ sK1 @ sK4 )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f8,f13,f12,f11,f10,f9]) ).
thf(f9,plain,
( ? [X0: ( a > a > $o ) > $o,X1: a,X2: a > a > $o,X3: a > a > $o,X4: a] :
( ! [X5: a > a > $o] :
( ? [X6: a,X7: a] :
( ( ( X5 @ X7 @ X6 )
!= $true )
& ( ( ( X3 @ X7 @ X6 )
= $true )
| ( ( X2 @ X7 @ X6 )
= $true ) ) )
| ( ( X0 @ X5 )
!= $true )
| ( ( X5 @ X1 @ X4 )
= $true ) )
& ? [X8: a > a > $o] :
( ! [X9: a,X10: a] :
( ( ( X8 @ X9 @ X10 )
= $true )
| ( ? [X11: a > a > $o] :
( ( ( X0 @ X11 )
= $true )
& ! [X12: a,X13: a] :
( ( ( X2 @ X12 @ X13 )
!= $true )
| ( ( X11 @ X12 @ X13 )
= $true ) )
& ( ( X11 @ X9 @ X10 )
!= $true ) )
& ? [X14: a > a > $o] :
( ( ( X14 @ X9 @ X10 )
!= $true )
& ( ( X0 @ X14 )
= $true )
& ! [X15: a,X16: a] :
( ( ( X14 @ X15 @ X16 )
= $true )
| ( ( X3 @ X15 @ X16 )
!= $true ) ) ) ) )
& ( ( X0 @ X8 )
= $true )
& ( ( X8 @ X1 @ X4 )
!= $true ) ) )
=> ( ! [X5: a > a > $o] :
( ? [X7: a,X6: a] :
( ( ( X5 @ X7 @ X6 )
!= $true )
& ( ( ( sK3 @ X7 @ X6 )
= $true )
| ( ( sK2 @ X7 @ X6 )
= $true ) ) )
| ( ( sK0 @ X5 )
!= $true )
| ( ( X5 @ sK1 @ sK4 )
= $true ) )
& ? [X8: a > a > $o] :
( ! [X10: a,X9: a] :
( ( ( X8 @ X9 @ X10 )
= $true )
| ( ? [X11: a > a > $o] :
( ( ( sK0 @ X11 )
= $true )
& ! [X13: a,X12: a] :
( ( ( sK2 @ X12 @ X13 )
!= $true )
| ( ( X11 @ X12 @ X13 )
= $true ) )
& ( ( X11 @ X9 @ X10 )
!= $true ) )
& ? [X14: a > a > $o] :
( ( ( X14 @ X9 @ X10 )
!= $true )
& ( ( sK0 @ X14 )
= $true )
& ! [X16: a,X15: a] :
( ( ( X14 @ X15 @ X16 )
= $true )
| ( ( sK3 @ X15 @ X16 )
!= $true ) ) ) ) )
& ( ( sK0 @ X8 )
= $true )
& ( ( X8 @ sK1 @ sK4 )
!= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
! [X5: a > a > $o] :
( ? [X7: a,X6: a] :
( ( ( X5 @ X7 @ X6 )
!= $true )
& ( ( ( sK3 @ X7 @ X6 )
= $true )
| ( ( sK2 @ X7 @ X6 )
= $true ) ) )
=> ( ( ( X5 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
!= $true )
& ( ( ( sK3 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
= $true )
| ( ( sK2 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X8: a > a > $o] :
( ! [X10: a,X9: a] :
( ( ( X8 @ X9 @ X10 )
= $true )
| ( ? [X11: a > a > $o] :
( ( ( sK0 @ X11 )
= $true )
& ! [X13: a,X12: a] :
( ( ( sK2 @ X12 @ X13 )
!= $true )
| ( ( X11 @ X12 @ X13 )
= $true ) )
& ( ( X11 @ X9 @ X10 )
!= $true ) )
& ? [X14: a > a > $o] :
( ( ( X14 @ X9 @ X10 )
!= $true )
& ( ( sK0 @ X14 )
= $true )
& ! [X16: a,X15: a] :
( ( ( X14 @ X15 @ X16 )
= $true )
| ( ( sK3 @ X15 @ X16 )
!= $true ) ) ) ) )
& ( ( sK0 @ X8 )
= $true )
& ( ( X8 @ sK1 @ sK4 )
!= $true ) )
=> ( ! [X10: a,X9: a] :
( ( ( sK7 @ X9 @ X10 )
= $true )
| ( ? [X11: a > a > $o] :
( ( ( sK0 @ X11 )
= $true )
& ! [X13: a,X12: a] :
( ( ( sK2 @ X12 @ X13 )
!= $true )
| ( ( X11 @ X12 @ X13 )
= $true ) )
& ( ( X11 @ X9 @ X10 )
!= $true ) )
& ? [X14: a > a > $o] :
( ( ( X14 @ X9 @ X10 )
!= $true )
& ( ( sK0 @ X14 )
= $true )
& ! [X16: a,X15: a] :
( ( ( X14 @ X15 @ X16 )
= $true )
| ( ( sK3 @ X15 @ X16 )
!= $true ) ) ) ) )
& ( ( sK0 @ sK7 )
= $true )
& ( ( sK7 @ sK1 @ sK4 )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X9: a,X10: a] :
( ? [X11: a > a > $o] :
( ( ( sK0 @ X11 )
= $true )
& ! [X13: a,X12: a] :
( ( ( sK2 @ X12 @ X13 )
!= $true )
| ( ( X11 @ X12 @ X13 )
= $true ) )
& ( ( X11 @ X9 @ X10 )
!= $true ) )
=> ( ( ( sK0 @ ( sK8 @ X10 @ X9 ) )
= $true )
& ! [X13: a,X12: a] :
( ( ( sK2 @ X12 @ X13 )
!= $true )
| ( ( sK8 @ X10 @ X9 @ X12 @ X13 )
= $true ) )
& ( ( sK8 @ X10 @ X9 @ X9 @ X10 )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
! [X9: a,X10: a] :
( ? [X14: a > a > $o] :
( ( ( X14 @ X9 @ X10 )
!= $true )
& ( ( sK0 @ X14 )
= $true )
& ! [X16: a,X15: a] :
( ( ( X14 @ X15 @ X16 )
= $true )
| ( ( sK3 @ X15 @ X16 )
!= $true ) ) )
=> ( ( ( sK9 @ X10 @ X9 @ X9 @ X10 )
!= $true )
& ( ( sK0 @ ( sK9 @ X10 @ X9 ) )
= $true )
& ! [X16: a,X15: a] :
( ( ( sK9 @ X10 @ X9 @ X15 @ X16 )
= $true )
| ( ( sK3 @ X15 @ X16 )
!= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: ( a > a > $o ) > $o,X1: a,X2: a > a > $o,X3: a > a > $o,X4: a] :
( ! [X5: a > a > $o] :
( ? [X6: a,X7: a] :
( ( ( X5 @ X7 @ X6 )
!= $true )
& ( ( ( X3 @ X7 @ X6 )
= $true )
| ( ( X2 @ X7 @ X6 )
= $true ) ) )
| ( ( X0 @ X5 )
!= $true )
| ( ( X5 @ X1 @ X4 )
= $true ) )
& ? [X8: a > a > $o] :
( ! [X9: a,X10: a] :
( ( ( X8 @ X9 @ X10 )
= $true )
| ( ? [X11: a > a > $o] :
( ( ( X0 @ X11 )
= $true )
& ! [X12: a,X13: a] :
( ( ( X2 @ X12 @ X13 )
!= $true )
| ( ( X11 @ X12 @ X13 )
= $true ) )
& ( ( X11 @ X9 @ X10 )
!= $true ) )
& ? [X14: a > a > $o] :
( ( ( X14 @ X9 @ X10 )
!= $true )
& ( ( X0 @ X14 )
= $true )
& ! [X15: a,X16: a] :
( ( ( X14 @ X15 @ X16 )
= $true )
| ( ( X3 @ X15 @ X16 )
!= $true ) ) ) ) )
& ( ( X0 @ X8 )
= $true )
& ( ( X8 @ X1 @ X4 )
!= $true ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X3: ( a > a > $o ) > $o,X0: a,X4: a > a > $o,X1: a > a > $o,X2: a] :
( ! [X5: a > a > $o] :
( ? [X6: a,X7: a] :
( ( ( X5 @ X7 @ X6 )
!= $true )
& ( ( ( X1 @ X7 @ X6 )
= $true )
| ( ( X4 @ X7 @ X6 )
= $true ) ) )
| ( ( X3 @ X5 )
!= $true )
| ( ( X5 @ X0 @ X2 )
= $true ) )
& ? [X8: a > a > $o] :
( ! [X10: a,X9: a] :
( ( ( X8 @ X10 @ X9 )
= $true )
| ( ? [X14: a > a > $o] :
( ( ( X3 @ X14 )
= $true )
& ! [X15: a,X16: a] :
( ( ( X4 @ X15 @ X16 )
!= $true )
| ( ( X14 @ X15 @ X16 )
= $true ) )
& ( ( X14 @ X10 @ X9 )
!= $true ) )
& ? [X11: a > a > $o] :
( ( ( X11 @ X10 @ X9 )
!= $true )
& ( ( X3 @ X11 )
= $true )
& ! [X13: a,X12: a] :
( ( ( X11 @ X13 @ X12 )
= $true )
| ( ( X1 @ X13 @ X12 )
!= $true ) ) ) ) )
& ( ( X3 @ X8 )
= $true )
& ( ( X8 @ X0 @ X2 )
!= $true ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X0: a,X2: a,X1: a > a > $o,X3: ( a > a > $o ) > $o,X4: a > a > $o] :
( ? [X8: a > a > $o] :
( ( ( X8 @ X0 @ X2 )
!= $true )
& ( ( X3 @ X8 )
= $true )
& ! [X10: a,X9: a] :
( ( ( X8 @ X10 @ X9 )
= $true )
| ( ? [X14: a > a > $o] :
( ( ( X14 @ X10 @ X9 )
!= $true )
& ! [X15: a,X16: a] :
( ( ( X4 @ X15 @ X16 )
!= $true )
| ( ( X14 @ X15 @ X16 )
= $true ) )
& ( ( X3 @ X14 )
= $true ) )
& ? [X11: a > a > $o] :
( ( ( X11 @ X10 @ X9 )
!= $true )
& ( ( X3 @ X11 )
= $true )
& ! [X13: a,X12: a] :
( ( ( X11 @ X13 @ X12 )
= $true )
| ( ( X1 @ X13 @ X12 )
!= $true ) ) ) ) ) )
& ! [X5: a > a > $o] :
( ( ( X5 @ X0 @ X2 )
= $true )
| ? [X6: a,X7: a] :
( ( ( X5 @ X7 @ X6 )
!= $true )
& ( ( ( X1 @ X7 @ X6 )
= $true )
| ( ( X4 @ X7 @ X6 )
= $true ) ) )
| ( ( X3 @ X5 )
!= $true ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a,X2: a,X1: a > a > $o,X3: ( a > a > $o ) > $o,X4: a > a > $o] :
( ! [X5: a > a > $o] :
( ( ! [X6: a,X7: a] :
( ( ( ( X1 @ X7 @ X6 )
= $true )
| ( ( X4 @ X7 @ X6 )
= $true ) )
=> ( ( X5 @ X7 @ X6 )
= $true ) )
& ( ( X3 @ X5 )
= $true ) )
=> ( ( X5 @ X0 @ X2 )
= $true ) )
=> ! [X8: a > a > $o] :
( ( ( ( X3 @ X8 )
= $true )
& ! [X10: a,X9: a] :
( ( ! [X14: a > a > $o] :
( ( ! [X15: a,X16: a] :
( ( ( X4 @ X15 @ X16 )
= $true )
=> ( ( X14 @ X15 @ X16 )
= $true ) )
& ( ( X3 @ X14 )
= $true ) )
=> ( ( X14 @ X10 @ X9 )
= $true ) )
| ! [X11: a > a > $o] :
( ( ( ( X3 @ X11 )
= $true )
& ! [X12: a,X13: a] :
( ( ( X1 @ X13 @ X12 )
= $true )
=> ( ( X11 @ X13 @ X12 )
= $true ) ) )
=> ( ( X11 @ X10 @ X9 )
= $true ) ) )
=> ( ( X8 @ X10 @ X9 )
= $true ) ) )
=> ( ( X8 @ X0 @ X2 )
= $true ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a,X1: a > a > $o,X2: a,X3: ( a > a > $o ) > $o,X4: a > a > $o] :
( ! [X5: a > a > $o] :
( ( ( X3 @ X5 )
& ! [X6: a,X7: a] :
( ( ( X4 @ X7 @ X6 )
| ( X1 @ X7 @ X6 ) )
=> ( X5 @ X7 @ X6 ) ) )
=> ( X5 @ X0 @ X2 ) )
=> ! [X8: a > a > $o] :
( ( ( X3 @ X8 )
& ! [X9: a,X10: a] :
( ( ! [X11: a > a > $o] :
( ( ( X3 @ X11 )
& ! [X12: a,X13: a] :
( ( X1 @ X13 @ X12 )
=> ( X11 @ X13 @ X12 ) ) )
=> ( X11 @ X10 @ X9 ) )
| ! [X14: a > a > $o] :
( ( ( X3 @ X14 )
& ! [X15: a,X16: a] :
( ( X4 @ X15 @ X16 )
=> ( X14 @ X15 @ X16 ) ) )
=> ( X14 @ X10 @ X9 ) ) )
=> ( X8 @ X10 @ X9 ) ) )
=> ( X8 @ X0 @ X2 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X3: a,X2: a > a > $o,X4: a,X0: ( a > a > $o ) > $o,X1: a > a > $o] :
( ! [X5: a > a > $o] :
( ( ( X0 @ X5 )
& ! [X7: a,X6: a] :
( ( ( X1 @ X6 @ X7 )
| ( X2 @ X6 @ X7 ) )
=> ( X5 @ X6 @ X7 ) ) )
=> ( X5 @ X3 @ X4 ) )
=> ! [X5: a > a > $o] :
( ( ( X0 @ X5 )
& ! [X7: a,X6: a] :
( ( ! [X8: a > a > $o] :
( ( ( X0 @ X8 )
& ! [X10: a,X9: a] :
( ( X2 @ X9 @ X10 )
=> ( X8 @ X9 @ X10 ) ) )
=> ( X8 @ X6 @ X7 ) )
| ! [X8: a > a > $o] :
( ( ( X0 @ X8 )
& ! [X9: a,X10: a] :
( ( X1 @ X9 @ X10 )
=> ( X8 @ X9 @ X10 ) ) )
=> ( X8 @ X6 @ X7 ) ) )
=> ( X5 @ X6 @ X7 ) ) )
=> ( X5 @ X3 @ X4 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X3: a,X2: a > a > $o,X4: a,X0: ( a > a > $o ) > $o,X1: a > a > $o] :
( ! [X5: a > a > $o] :
( ( ( X0 @ X5 )
& ! [X7: a,X6: a] :
( ( ( X1 @ X6 @ X7 )
| ( X2 @ X6 @ X7 ) )
=> ( X5 @ X6 @ X7 ) ) )
=> ( X5 @ X3 @ X4 ) )
=> ! [X5: a > a > $o] :
( ( ( X0 @ X5 )
& ! [X7: a,X6: a] :
( ( ! [X8: a > a > $o] :
( ( ( X0 @ X8 )
& ! [X10: a,X9: a] :
( ( X2 @ X9 @ X10 )
=> ( X8 @ X9 @ X10 ) ) )
=> ( X8 @ X6 @ X7 ) )
| ! [X8: a > a > $o] :
( ( ( X0 @ X8 )
& ! [X9: a,X10: a] :
( ( X1 @ X9 @ X10 )
=> ( X8 @ X9 @ X10 ) ) )
=> ( X8 @ X6 @ X7 ) ) )
=> ( X5 @ X6 @ X7 ) ) )
=> ( X5 @ X3 @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM252B_pme) ).
thf(f28,plain,
( ( ( sK7 @ sK1 @ sK4 )
= $true )
| ( ( sK7 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f27]) ).
thf(f27,plain,
( ( $true != $true )
| ( ( sK7 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
!= $true )
| ( ( sK7 @ sK1 @ sK4 )
= $true ) ),
inference(superposition,[],[f24,f16]) ).
thf(f16,plain,
( ( sK0 @ sK7 )
= $true ),
inference(cnf_transformation,[],[f14]) ).
thf(f24,plain,
! [X5: a > a > $o] :
( ( ( sK0 @ X5 )
!= $true )
| ( ( X5 @ sK1 @ sK4 )
= $true )
| ( ( X5 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f59,plain,
( ( ( sK7 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true )
| ~ spl10_1 ),
inference(trivial_inequality_removal,[],[f58]) ).
thf(f58,plain,
( ( ( sK7 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true )
| ( $true != $true )
| ~ spl10_1 ),
inference(duplicate_literal_removal,[],[f57]) ).
thf(f57,plain,
( ( ( sK7 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true )
| ( $true != $true )
| ( ( sK7 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true )
| ~ spl10_1 ),
inference(superposition,[],[f19,f56]) ).
thf(f56,plain,
( ! [X0: a,X1: a] :
( ( ( sK9 @ X1 @ X0 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true )
| ( ( sK7 @ X0 @ X1 )
= $true ) )
| ~ spl10_1 ),
inference(trivial_inequality_removal,[],[f55]) ).
thf(f55,plain,
( ! [X0: a,X1: a] :
( ( $true != $true )
| ( ( sK7 @ X0 @ X1 )
= $true )
| ( ( sK9 @ X1 @ X0 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true ) )
| ~ spl10_1 ),
inference(superposition,[],[f17,f42]) ).
thf(f42,plain,
( ( ( sK3 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true )
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f40]) ).
thf(f40,plain,
( spl10_1
<=> ( ( sK3 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
thf(f17,plain,
! [X10: a,X9: a,X16: a,X15: a] :
( ( ( sK3 @ X15 @ X16 )
!= $true )
| ( ( sK7 @ X9 @ X10 )
= $true )
| ( ( sK9 @ X10 @ X9 @ X15 @ X16 )
= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f19,plain,
! [X10: a,X9: a] :
( ( ( sK9 @ X10 @ X9 @ X9 @ X10 )
!= $true )
| ( ( sK7 @ X9 @ X10 )
= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f54,plain,
~ spl10_2,
inference(avatar_contradiction_clause,[],[f53]) ).
thf(f53,plain,
( $false
| ~ spl10_2 ),
inference(subsumption_resolution,[],[f52,f31]) ).
thf(f52,plain,
( ( ( sK7 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true )
| ~ spl10_2 ),
inference(trivial_inequality_removal,[],[f51]) ).
thf(f51,plain,
( ( $true != $true )
| ( ( sK7 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true )
| ~ spl10_2 ),
inference(duplicate_literal_removal,[],[f50]) ).
thf(f50,plain,
( ( ( sK7 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true )
| ( $true != $true )
| ( ( sK7 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true )
| ~ spl10_2 ),
inference(superposition,[],[f20,f49]) ).
thf(f49,plain,
( ! [X0: a,X1: a] :
( ( ( sK8 @ X1 @ X0 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true )
| ( ( sK7 @ X0 @ X1 )
= $true ) )
| ~ spl10_2 ),
inference(trivial_inequality_removal,[],[f48]) ).
thf(f48,plain,
( ! [X0: a,X1: a] :
( ( $true != $true )
| ( ( sK7 @ X0 @ X1 )
= $true )
| ( ( sK8 @ X1 @ X0 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true ) )
| ~ spl10_2 ),
inference(superposition,[],[f21,f46]) ).
thf(f46,plain,
( ( ( sK2 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true )
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f44]) ).
thf(f44,plain,
( spl10_2
<=> ( ( sK2 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
thf(f21,plain,
! [X10: a,X9: a,X12: a,X13: a] :
( ( ( sK2 @ X12 @ X13 )
!= $true )
| ( ( sK7 @ X9 @ X10 )
= $true )
| ( ( sK8 @ X10 @ X9 @ X12 @ X13 )
= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f20,plain,
! [X10: a,X9: a] :
( ( ( sK8 @ X10 @ X9 @ X9 @ X10 )
!= $true )
| ( ( sK7 @ X9 @ X10 )
= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f47,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f38,f44,f40]) ).
thf(f38,plain,
( ( ( sK2 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true )
| ( ( sK3 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true ) ),
inference(subsumption_resolution,[],[f35,f15]) ).
thf(f35,plain,
( ( ( sK3 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true )
| ( ( sK7 @ sK1 @ sK4 )
= $true )
| ( ( sK2 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f34]) ).
thf(f34,plain,
( ( ( sK3 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true )
| ( ( sK2 @ ( sK6 @ sK7 ) @ ( sK5 @ sK7 ) )
= $true )
| ( ( sK7 @ sK1 @ sK4 )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f23,f16]) ).
thf(f23,plain,
! [X5: a > a > $o] :
( ( ( sK0 @ X5 )
!= $true )
| ( ( sK3 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
= $true )
| ( ( sK2 @ ( sK6 @ X5 ) @ ( sK5 @ X5 ) )
= $true )
| ( ( X5 @ sK1 @ sK4 )
= $true ) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SEV126^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.16 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.38 % Computer : n019.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Sun May 19 18:31:53 EDT 2024
% 0.15/0.38 % CPUTime :
% 0.15/0.38 This is a TH0_THM_NEQ_NAR problem
% 0.15/0.38 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.40 % (7834)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.40 % (7835)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)
% 0.15/0.40 % (7831)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.40 % (7831)Instruction limit reached!
% 0.15/0.40 % (7831)------------------------------
% 0.15/0.40 % (7831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (7831)Termination reason: Unknown
% 0.15/0.40 % (7831)Termination phase: Naming
% 0.15/0.40
% 0.15/0.40 % (7831)Memory used [KB]: 895
% 0.15/0.40 % (7831)Time elapsed: 0.002 s
% 0.15/0.40 % (7831)Instructions burned: 2 (million)
% 0.15/0.40 % (7831)------------------------------
% 0.15/0.40 % (7831)------------------------------
% 0.15/0.40 % (7829)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)
% 0.15/0.40 % (7828)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.40 % (7830)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)
% 0.15/0.40 % (7833)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)
% 0.15/0.40 % (7835)Instruction limit reached!
% 0.15/0.40 % (7835)------------------------------
% 0.15/0.40 % (7835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (7835)Termination reason: Unknown
% 0.15/0.40 % (7835)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (7835)Memory used [KB]: 5500
% 0.15/0.40 % (7835)Time elapsed: 0.004 s
% 0.15/0.40 % (7835)Instructions burned: 4 (million)
% 0.15/0.40 % (7835)------------------------------
% 0.15/0.40 % (7835)------------------------------
% 0.15/0.40 % (7829)Instruction limit reached!
% 0.15/0.40 % (7829)------------------------------
% 0.15/0.40 % (7829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (7829)Termination reason: Unknown
% 0.15/0.40 % (7829)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (7829)Memory used [KB]: 5500
% 0.15/0.40 % (7829)Time elapsed: 0.004 s
% 0.15/0.40 % (7829)Instructions burned: 4 (million)
% 0.15/0.40 % (7829)------------------------------
% 0.15/0.40 % (7829)------------------------------
% 0.15/0.41 % (7834)First to succeed.
% 0.15/0.41 % (7833)Also succeeded, but the first one will report.
% 0.15/0.41 % (7832)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)
% 0.15/0.41 % (7834)Refutation found. Thanks to Tanya!
% 0.15/0.41 % SZS status Theorem for theBenchmark
% 0.15/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.41 % (7834)------------------------------
% 0.15/0.41 % (7834)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (7834)Termination reason: Refutation
% 0.15/0.41
% 0.15/0.41 % (7834)Memory used [KB]: 5628
% 0.15/0.41 % (7834)Time elapsed: 0.013 s
% 0.15/0.41 % (7834)Instructions burned: 12 (million)
% 0.15/0.41 % (7834)------------------------------
% 0.15/0.41 % (7834)------------------------------
% 0.15/0.41 % (7827)Success in time 0.024 s
% 0.15/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------