TSTP Solution File: PUZ001+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PUZ001+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 18:10:37 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 63 ( 20 unt; 0 def)
% Number of atoms : 372 ( 96 equ)
% Maximal formula atoms : 50 ( 5 avg)
% Number of connectives : 447 ( 138 ~; 107 |; 160 &)
% ( 3 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 7 usr; 5 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 318 ( 212 !; 106 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f99,plain,
$false,
inference(avatar_sat_refutation,[],[f83,f89,f91,f98]) ).
fof(f98,plain,
~ spl9_1,
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f97,plain,
( $false
| ~ spl9_1 ),
inference(subsumption_resolution,[],[f96,f19]) ).
fof(f19,plain,
! [X0] : ~ predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] : ~ predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
inference(ennf_transformation,[],[f3]) ).
fof(f3,negated_conjecture,
~ ? [X0] : predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
? [X0] : predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
fof(f96,plain,
( predicate2(sK0,kill,'AuntAgatha','AuntAgatha')
| ~ spl9_1 ),
inference(forward_demodulation,[],[f21,f68]) ).
fof(f68,plain,
( 'AuntAgatha' = sK1
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl9_1
<=> 'AuntAgatha' = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f21,plain,
predicate2(sK0,kill,sK1,'AuntAgatha'),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ! [X3] : ~ predicate2(X3,hate,'AuntAgatha','Butler')
& ! [X4,X5] :
( ! [X6] : ~ predicate2(X6,hate,'Charles',X4)
| ~ predicate2(X5,hate,'AuntAgatha',X4) )
& ! [X7,X8,X9] :
( predicate2(sK3(X7,X9),hate,X7,X9)
| ~ predicate2(X8,kill,X7,X9) )
& ! [X11,X12] :
( ~ predicate2(X11,hate,'AuntAgatha',X12)
| predicate2(sK4(X12),hate,'Butler',X12) )
& ! [X14,X15] :
( ~ predicate1(X14,live,X15)
| 'Charles' = X15
| 'Butler' = X15
| ~ modifier_pp(X14,in,'DreadburyMansion')
| 'AuntAgatha' = X15 )
& ! [X16] :
( 'Butler' = X16
| predicate2(sK5(X16),hate,'AuntAgatha',X16) )
& predicate1(sK2,live,sK1)
& ! [X18,X19,X20,X21] :
( ~ property2(X20,rich,comp_than,X18)
| X19 != X20
| ~ predicate2(X21,kill,X19,X18) )
& 'AuntAgatha' != 'Butler'
& ! [X22,X24] : ~ predicate2(X24,hate,X22,sK6(X22))
& ! [X25] :
( ( sK7(X25) = X25
& property2(sK7(X25),rich,comp_than,'AuntAgatha') )
| predicate2(sK8(X25),hate,'Butler',X25) )
& predicate2(sK0,kill,sK1,'AuntAgatha')
& modifier_pp(sK2,in,'DreadburyMansion') ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f10,f17,f16,f15,f14,f13,f12,f11]) ).
fof(f11,plain,
( ? [X0,X1,X2] :
( ! [X3] : ~ predicate2(X3,hate,'AuntAgatha','Butler')
& ! [X4,X5] :
( ! [X6] : ~ predicate2(X6,hate,'Charles',X4)
| ~ predicate2(X5,hate,'AuntAgatha',X4) )
& ! [X7,X8,X9] :
( ? [X10] : predicate2(X10,hate,X7,X9)
| ~ predicate2(X8,kill,X7,X9) )
& ! [X11,X12] :
( ~ predicate2(X11,hate,'AuntAgatha',X12)
| ? [X13] : predicate2(X13,hate,'Butler',X12) )
& ! [X14,X15] :
( ~ predicate1(X14,live,X15)
| 'Charles' = X15
| 'Butler' = X15
| ~ modifier_pp(X14,in,'DreadburyMansion')
| 'AuntAgatha' = X15 )
& ! [X16] :
( 'Butler' = X16
| ? [X17] : predicate2(X17,hate,'AuntAgatha',X16) )
& predicate1(X2,live,X1)
& ! [X18,X19,X20,X21] :
( ~ property2(X20,rich,comp_than,X18)
| X19 != X20
| ~ predicate2(X21,kill,X19,X18) )
& 'AuntAgatha' != 'Butler'
& ! [X22] :
? [X23] :
! [X24] : ~ predicate2(X24,hate,X22,X23)
& ! [X25] :
( ? [X26] :
( X25 = X26
& property2(X26,rich,comp_than,'AuntAgatha') )
| ? [X27] : predicate2(X27,hate,'Butler',X25) )
& predicate2(X0,kill,X1,'AuntAgatha')
& modifier_pp(X2,in,'DreadburyMansion') )
=> ( ! [X3] : ~ predicate2(X3,hate,'AuntAgatha','Butler')
& ! [X4,X5] :
( ! [X6] : ~ predicate2(X6,hate,'Charles',X4)
| ~ predicate2(X5,hate,'AuntAgatha',X4) )
& ! [X7,X8,X9] :
( ? [X10] : predicate2(X10,hate,X7,X9)
| ~ predicate2(X8,kill,X7,X9) )
& ! [X11,X12] :
( ~ predicate2(X11,hate,'AuntAgatha',X12)
| ? [X13] : predicate2(X13,hate,'Butler',X12) )
& ! [X14,X15] :
( ~ predicate1(X14,live,X15)
| 'Charles' = X15
| 'Butler' = X15
| ~ modifier_pp(X14,in,'DreadburyMansion')
| 'AuntAgatha' = X15 )
& ! [X16] :
( 'Butler' = X16
| ? [X17] : predicate2(X17,hate,'AuntAgatha',X16) )
& predicate1(sK2,live,sK1)
& ! [X18,X19,X20,X21] :
( ~ property2(X20,rich,comp_than,X18)
| X19 != X20
| ~ predicate2(X21,kill,X19,X18) )
& 'AuntAgatha' != 'Butler'
& ! [X22] :
? [X23] :
! [X24] : ~ predicate2(X24,hate,X22,X23)
& ! [X25] :
( ? [X26] :
( X25 = X26
& property2(X26,rich,comp_than,'AuntAgatha') )
| ? [X27] : predicate2(X27,hate,'Butler',X25) )
& predicate2(sK0,kill,sK1,'AuntAgatha')
& modifier_pp(sK2,in,'DreadburyMansion') ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X7,X9] :
( ? [X10] : predicate2(X10,hate,X7,X9)
=> predicate2(sK3(X7,X9),hate,X7,X9) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X12] :
( ? [X13] : predicate2(X13,hate,'Butler',X12)
=> predicate2(sK4(X12),hate,'Butler',X12) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X16] :
( ? [X17] : predicate2(X17,hate,'AuntAgatha',X16)
=> predicate2(sK5(X16),hate,'AuntAgatha',X16) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X22] :
( ? [X23] :
! [X24] : ~ predicate2(X24,hate,X22,X23)
=> ! [X24] : ~ predicate2(X24,hate,X22,sK6(X22)) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X25] :
( ? [X26] :
( X25 = X26
& property2(X26,rich,comp_than,'AuntAgatha') )
=> ( sK7(X25) = X25
& property2(sK7(X25),rich,comp_than,'AuntAgatha') ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X25] :
( ? [X27] : predicate2(X27,hate,'Butler',X25)
=> predicate2(sK8(X25),hate,'Butler',X25) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
? [X0,X1,X2] :
( ! [X3] : ~ predicate2(X3,hate,'AuntAgatha','Butler')
& ! [X4,X5] :
( ! [X6] : ~ predicate2(X6,hate,'Charles',X4)
| ~ predicate2(X5,hate,'AuntAgatha',X4) )
& ! [X7,X8,X9] :
( ? [X10] : predicate2(X10,hate,X7,X9)
| ~ predicate2(X8,kill,X7,X9) )
& ! [X11,X12] :
( ~ predicate2(X11,hate,'AuntAgatha',X12)
| ? [X13] : predicate2(X13,hate,'Butler',X12) )
& ! [X14,X15] :
( ~ predicate1(X14,live,X15)
| 'Charles' = X15
| 'Butler' = X15
| ~ modifier_pp(X14,in,'DreadburyMansion')
| 'AuntAgatha' = X15 )
& ! [X16] :
( 'Butler' = X16
| ? [X17] : predicate2(X17,hate,'AuntAgatha',X16) )
& predicate1(X2,live,X1)
& ! [X18,X19,X20,X21] :
( ~ property2(X20,rich,comp_than,X18)
| X19 != X20
| ~ predicate2(X21,kill,X19,X18) )
& 'AuntAgatha' != 'Butler'
& ! [X22] :
? [X23] :
! [X24] : ~ predicate2(X24,hate,X22,X23)
& ! [X25] :
( ? [X26] :
( X25 = X26
& property2(X26,rich,comp_than,'AuntAgatha') )
| ? [X27] : predicate2(X27,hate,'Butler',X25) )
& predicate2(X0,kill,X1,'AuntAgatha')
& modifier_pp(X2,in,'DreadburyMansion') ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
? [X2,X0,X1] :
( ! [X3] : ~ predicate2(X3,hate,'AuntAgatha','Butler')
& ! [X26,X25] :
( ! [X27] : ~ predicate2(X27,hate,'Charles',X26)
| ~ predicate2(X25,hate,'AuntAgatha',X26) )
& ! [X4,X6,X5] :
( ? [X7] : predicate2(X7,hate,X4,X5)
| ~ predicate2(X6,kill,X4,X5) )
& ! [X17,X16] :
( ~ predicate2(X17,hate,'AuntAgatha',X16)
| ? [X18] : predicate2(X18,hate,'Butler',X16) )
& ! [X8,X9] :
( ~ predicate1(X8,live,X9)
| 'Charles' = X9
| 'Butler' = X9
| ~ modifier_pp(X8,in,'DreadburyMansion')
| 'AuntAgatha' = X9 )
& ! [X10] :
( 'Butler' = X10
| ? [X11] : predicate2(X11,hate,'AuntAgatha',X10) )
& predicate1(X1,live,X0)
& ! [X14,X12,X13,X15] :
( ~ property2(X13,rich,comp_than,X14)
| X12 != X13
| ~ predicate2(X15,kill,X12,X14) )
& 'AuntAgatha' != 'Butler'
& ! [X22] :
? [X23] :
! [X24] : ~ predicate2(X24,hate,X22,X23)
& ! [X19] :
( ? [X20] :
( X19 = X20
& property2(X20,rich,comp_than,'AuntAgatha') )
| ? [X21] : predicate2(X21,hate,'Butler',X19) )
& predicate2(X2,kill,X0,'AuntAgatha')
& modifier_pp(X1,in,'DreadburyMansion') ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X1,X0,X2] :
( ! [X4,X6,X5] :
( ? [X7] : predicate2(X7,hate,X4,X5)
| ~ predicate2(X6,kill,X4,X5) )
& ! [X26,X25] :
( ! [X27] : ~ predicate2(X27,hate,'Charles',X26)
| ~ predicate2(X25,hate,'AuntAgatha',X26) )
& ! [X19] :
( ? [X20] :
( X19 = X20
& property2(X20,rich,comp_than,'AuntAgatha') )
| ? [X21] : predicate2(X21,hate,'Butler',X19) )
& ! [X10] :
( 'Butler' = X10
| ? [X11] : predicate2(X11,hate,'AuntAgatha',X10) )
& modifier_pp(X1,in,'DreadburyMansion')
& predicate2(X2,kill,X0,'AuntAgatha')
& predicate1(X1,live,X0)
& ! [X22] :
? [X23] :
! [X24] : ~ predicate2(X24,hate,X22,X23)
& ! [X8,X9] :
( 'Butler' = X9
| 'AuntAgatha' = X9
| 'Charles' = X9
| ~ predicate1(X8,live,X9)
| ~ modifier_pp(X8,in,'DreadburyMansion') )
& ! [X3] : ~ predicate2(X3,hate,'AuntAgatha','Butler')
& 'AuntAgatha' != 'Butler'
& ! [X17,X16] :
( ~ predicate2(X17,hate,'AuntAgatha',X16)
| ? [X18] : predicate2(X18,hate,'Butler',X16) )
& ! [X12,X13,X14,X15] :
( ~ property2(X13,rich,comp_than,X14)
| X12 != X13
| ~ predicate2(X15,kill,X12,X14) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X1,X0,X2] :
( ! [X4,X5,X6] :
( predicate2(X6,kill,X4,X5)
=> ? [X7] : predicate2(X7,hate,X4,X5) )
& ! [X26,X25] :
( predicate2(X25,hate,'AuntAgatha',X26)
=> ~ ? [X27] : predicate2(X27,hate,'Charles',X26) )
& ! [X19] :
( ~ ? [X20] :
( X19 = X20
& property2(X20,rich,comp_than,'AuntAgatha') )
=> ? [X21] : predicate2(X21,hate,'Butler',X19) )
& ! [X10] :
( 'Butler' != X10
=> ? [X11] : predicate2(X11,hate,'AuntAgatha',X10) )
& modifier_pp(X1,in,'DreadburyMansion')
& predicate2(X2,kill,X0,'AuntAgatha')
& predicate1(X1,live,X0)
& ! [X22] :
~ ! [X23] :
? [X24] : predicate2(X24,hate,X22,X23)
& ! [X8,X9] :
( ( predicate1(X8,live,X9)
& modifier_pp(X8,in,'DreadburyMansion') )
=> ( 'Butler' = X9
| 'AuntAgatha' = X9
| 'Charles' = X9 ) )
& ~ ? [X3] : predicate2(X3,hate,'AuntAgatha','Butler')
& 'AuntAgatha' != 'Butler'
& ! [X17,X16] :
( predicate2(X17,hate,'AuntAgatha',X16)
=> ? [X18] : predicate2(X18,hate,'Butler',X16) )
& ! [X12] :
~ ? [X13,X14,X15] :
( X12 = X13
& property2(X13,rich,comp_than,X14)
& predicate2(X15,kill,X12,X14) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0,X1,X2] :
( ~ ? [X3] : predicate2(X3,hate,'AuntAgatha','Butler')
& ! [X4,X5,X6] :
( predicate2(X6,kill,X4,X5)
=> ? [X7] : predicate2(X7,hate,X4,X5) )
& ! [X8,X9] :
( ( predicate1(X8,live,X9)
& modifier_pp(X8,in,'DreadburyMansion') )
=> ( 'Butler' = X9
| 'AuntAgatha' = X9
| 'Charles' = X9 ) )
& predicate2(X2,kill,X0,'AuntAgatha')
& predicate1(X1,live,X0)
& ! [X10] :
( 'Butler' != X10
=> ? [X11] : predicate2(X11,hate,'AuntAgatha',X10) )
& modifier_pp(X1,in,'DreadburyMansion')
& ! [X12] :
~ ? [X13,X14,X15] :
( X12 = X13
& property2(X13,rich,comp_than,X14)
& predicate2(X15,kill,X12,X14) )
& ! [X17,X16] :
( predicate2(X17,hate,'AuntAgatha',X16)
=> ? [X18] : predicate2(X18,hate,'Butler',X16) )
& ! [X19] :
( ~ ? [X20] :
( X19 = X20
& property2(X20,rich,comp_than,'AuntAgatha') )
=> ? [X21] : predicate2(X21,hate,'Butler',X19) )
& 'AuntAgatha' != 'Butler'
& ! [X22] :
~ ! [X23] :
? [X24] : predicate2(X24,hate,X22,X23)
& ! [X26,X25] :
( predicate2(X25,hate,'AuntAgatha',X26)
=> ~ ? [X27] : predicate2(X27,hate,'Charles',X26) ) ),
inference(true_and_false_elimination,[],[f4]) ).
fof(f4,plain,
? [X0,X1,X2] :
( ~ ? [X3] : predicate2(X3,hate,'AuntAgatha','Butler')
& ! [X4] :
( $true
=> ! [X5,X6] :
( ( $true
& predicate2(X6,kill,X4,X5) )
=> ? [X7] : predicate2(X7,hate,X4,X5) ) )
& ! [X8,X9] :
( ( $true
& predicate1(X8,live,X9)
& modifier_pp(X8,in,'DreadburyMansion') )
=> ( 'Butler' = X9
| 'AuntAgatha' = X9
| 'Charles' = X9 ) )
& predicate2(X2,kill,X0,'AuntAgatha')
& predicate1(X1,live,X0)
& ! [X10] :
( ( $true
& 'Butler' != X10 )
=> ? [X11] : predicate2(X11,hate,'AuntAgatha',X10) )
& modifier_pp(X1,in,'DreadburyMansion')
& $true
& ! [X12] :
( $true
=> ~ ? [X13,X14,X15] :
( $true
& property2(X13,rich,comp_than,X14)
& X12 = X13
& predicate2(X15,kill,X12,X14) ) )
& ! [X16,X17] :
( ( predicate2(X17,hate,'AuntAgatha',X16)
& $true )
=> ? [X18] : predicate2(X18,hate,'Butler',X16) )
& ! [X19] :
( ( ~ ? [X20] :
( X19 = X20
& property2(X20,rich,comp_than,'AuntAgatha') )
& $true )
=> ? [X21] : predicate2(X21,hate,'Butler',X19) )
& 'AuntAgatha' != 'Butler'
& ! [X22] :
( $true
=> ~ ! [X23] :
( $true
=> ? [X24] : predicate2(X24,hate,X22,X23) ) )
& ! [X25,X26] :
( ( $true
& predicate2(X25,hate,'AuntAgatha',X26) )
=> ~ ? [X27] : predicate2(X27,hate,'Charles',X26) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
? [X0,X1,X2] :
( ~ ? [X16] : predicate2(X16,hate,'AuntAgatha','Butler')
& ! [X5] :
( $true
=> ! [X6,X7] :
( ( $true
& predicate2(X7,kill,X5,X6) )
=> ? [X8] : predicate2(X8,hate,X5,X6) ) )
& ! [X4,X3] :
( ( $true
& predicate1(X4,live,X3)
& modifier_pp(X4,in,'DreadburyMansion') )
=> ( 'Butler' = X3
| 'AuntAgatha' = X3
| 'Charles' = X3 ) )
& predicate2(X2,kill,X0,'AuntAgatha')
& predicate1(X1,live,X0)
& ! [X17] :
( ( $true
& 'Butler' != X17 )
=> ? [X18] : predicate2(X18,hate,'AuntAgatha',X17) )
& modifier_pp(X1,in,'DreadburyMansion')
& $true
& ! [X9] :
( $true
=> ~ ? [X12,X10,X11] :
( $true
& property2(X12,rich,comp_than,X10)
& X9 = X12
& predicate2(X11,kill,X9,X10) ) )
& ! [X22,X23] :
( ( predicate2(X23,hate,'AuntAgatha',X22)
& $true )
=> ? [X24] : predicate2(X24,hate,'Butler',X22) )
& ! [X19] :
( ( ~ ? [X20] :
( X19 = X20
& property2(X20,rich,comp_than,'AuntAgatha') )
& $true )
=> ? [X21] : predicate2(X21,hate,'Butler',X19) )
& 'AuntAgatha' != 'Butler'
& ! [X25] :
( $true
=> ~ ! [X26] :
( $true
=> ? [X27] : predicate2(X27,hate,X25,X26) ) )
& ! [X14,X13] :
( ( $true
& predicate2(X14,hate,'AuntAgatha',X13) )
=> ~ ? [X15] : predicate2(X15,hate,'Charles',X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',background) ).
fof(f91,plain,
( spl9_2
| spl9_1
| spl9_3 ),
inference(avatar_split_clause,[],[f90,f74,f66,f70]) ).
fof(f70,plain,
( spl9_2
<=> 'Charles' = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f74,plain,
( spl9_3
<=> 'Butler' = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f90,plain,
( 'Butler' = sK1
| 'AuntAgatha' = sK1
| 'Charles' = sK1 ),
inference(resolution,[],[f27,f63]) ).
fof(f63,plain,
! [X0] :
( ~ predicate1(sK2,live,X0)
| 'Butler' = X0
| 'AuntAgatha' = X0
| 'Charles' = X0 ),
inference(resolution,[],[f29,f20]) ).
fof(f20,plain,
modifier_pp(sK2,in,'DreadburyMansion'),
inference(cnf_transformation,[],[f18]) ).
fof(f29,plain,
! [X14,X15] :
( ~ modifier_pp(X14,in,'DreadburyMansion')
| 'Butler' = X15
| ~ predicate1(X14,live,X15)
| 'AuntAgatha' = X15
| 'Charles' = X15 ),
inference(cnf_transformation,[],[f18]) ).
fof(f27,plain,
predicate1(sK2,live,sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f89,plain,
~ spl9_3,
inference(avatar_contradiction_clause,[],[f88]) ).
fof(f88,plain,
( $false
| ~ spl9_3 ),
inference(subsumption_resolution,[],[f87,f49]) ).
fof(f49,plain,
! [X0] : ~ predicate2(X0,kill,'Butler','AuntAgatha'),
inference(resolution,[],[f48,f34]) ).
fof(f34,plain,
! [X21,X18,X20] :
( ~ property2(X20,rich,comp_than,X18)
| ~ predicate2(X21,kill,X20,X18) ),
inference(equality_resolution,[],[f26]) ).
fof(f26,plain,
! [X21,X18,X19,X20] :
( ~ property2(X20,rich,comp_than,X18)
| X19 != X20
| ~ predicate2(X21,kill,X19,X18) ),
inference(cnf_transformation,[],[f18]) ).
fof(f48,plain,
property2('Butler',rich,comp_than,'AuntAgatha'),
inference(subsumption_resolution,[],[f47,f43]) ).
fof(f43,plain,
! [X0] : ~ predicate2(X0,hate,'Butler','Butler'),
inference(superposition,[],[f24,f40]) ).
fof(f40,plain,
'Butler' = sK6('Butler'),
inference(resolution,[],[f39,f28]) ).
fof(f28,plain,
! [X16] :
( predicate2(sK5(X16),hate,'AuntAgatha',X16)
| 'Butler' = X16 ),
inference(cnf_transformation,[],[f18]) ).
fof(f39,plain,
! [X0] : ~ predicate2(X0,hate,'AuntAgatha',sK6('Butler')),
inference(resolution,[],[f30,f24]) ).
fof(f30,plain,
! [X11,X12] :
( predicate2(sK4(X12),hate,'Butler',X12)
| ~ predicate2(X11,hate,'AuntAgatha',X12) ),
inference(cnf_transformation,[],[f18]) ).
fof(f24,plain,
! [X24,X22] : ~ predicate2(X24,hate,X22,sK6(X22)),
inference(cnf_transformation,[],[f18]) ).
fof(f47,plain,
( predicate2(sK8('Butler'),hate,'Butler','Butler')
| property2('Butler',rich,comp_than,'AuntAgatha') ),
inference(superposition,[],[f22,f42]) ).
fof(f42,plain,
'Butler' = sK7('Butler'),
inference(backward_demodulation,[],[f38,f40]) ).
fof(f38,plain,
sK7(sK6('Butler')) = sK6('Butler'),
inference(resolution,[],[f23,f24]) ).
fof(f23,plain,
! [X25] :
( predicate2(sK8(X25),hate,'Butler',X25)
| sK7(X25) = X25 ),
inference(cnf_transformation,[],[f18]) ).
fof(f22,plain,
! [X25] :
( property2(sK7(X25),rich,comp_than,'AuntAgatha')
| predicate2(sK8(X25),hate,'Butler',X25) ),
inference(cnf_transformation,[],[f18]) ).
fof(f87,plain,
( predicate2(sK0,kill,'Butler','AuntAgatha')
| ~ spl9_3 ),
inference(forward_demodulation,[],[f21,f76]) ).
fof(f76,plain,
( 'Butler' = sK1
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f83,plain,
~ spl9_2,
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f82,plain,
( $false
| ~ spl9_2 ),
inference(subsumption_resolution,[],[f81,f25]) ).
fof(f25,plain,
'AuntAgatha' != 'Butler',
inference(cnf_transformation,[],[f18]) ).
fof(f81,plain,
( 'AuntAgatha' = 'Butler'
| ~ spl9_2 ),
inference(resolution,[],[f78,f57]) ).
fof(f57,plain,
! [X3,X4] :
( ~ predicate2(X3,kill,'Charles',X4)
| 'Butler' = X4 ),
inference(resolution,[],[f53,f28]) ).
fof(f53,plain,
! [X6,X4,X5] :
( ~ predicate2(X6,hate,'AuntAgatha',X5)
| ~ predicate2(X4,kill,'Charles',X5) ),
inference(resolution,[],[f31,f32]) ).
fof(f32,plain,
! [X6,X4,X5] :
( ~ predicate2(X6,hate,'Charles',X4)
| ~ predicate2(X5,hate,'AuntAgatha',X4) ),
inference(cnf_transformation,[],[f18]) ).
fof(f31,plain,
! [X8,X9,X7] :
( predicate2(sK3(X7,X9),hate,X7,X9)
| ~ predicate2(X8,kill,X7,X9) ),
inference(cnf_transformation,[],[f18]) ).
fof(f78,plain,
( predicate2(sK0,kill,'Charles','AuntAgatha')
| ~ spl9_2 ),
inference(backward_demodulation,[],[f21,f72]) ).
fof(f72,plain,
( 'Charles' = sK1
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PUZ001+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 10:35:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (19736)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.49 % (19744)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.50 % (19736)Refutation not found, incomplete strategy% (19736)------------------------------
% 0.19/0.50 % (19736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (19736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (19736)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (19736)Memory used [KB]: 1407
% 0.19/0.50 % (19736)Time elapsed: 0.085 s
% 0.19/0.50 % (19736)Instructions burned: 2 (million)
% 0.19/0.50 % (19736)------------------------------
% 0.19/0.50 % (19736)------------------------------
% 0.19/0.50 % (19744)Refutation not found, incomplete strategy% (19744)------------------------------
% 0.19/0.50 % (19744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (19744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (19744)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (19744)Memory used [KB]: 6012
% 0.19/0.50 % (19744)Time elapsed: 0.088 s
% 0.19/0.50 % (19744)Instructions burned: 4 (million)
% 0.19/0.50 % (19744)------------------------------
% 0.19/0.50 % (19744)------------------------------
% 0.19/0.50 % (19752)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.50 % (19752)Refutation not found, incomplete strategy% (19752)------------------------------
% 0.19/0.50 % (19752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (19752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (19752)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (19752)Memory used [KB]: 5884
% 0.19/0.50 % (19752)Time elapsed: 0.108 s
% 0.19/0.50 % (19752)Instructions burned: 1 (million)
% 0.19/0.50 % (19752)------------------------------
% 0.19/0.50 % (19752)------------------------------
% 0.19/0.50 % (19724)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (19728)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (19728)Refutation not found, incomplete strategy% (19728)------------------------------
% 0.19/0.51 % (19728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (19728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (19728)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (19728)Memory used [KB]: 5884
% 0.19/0.51 % (19728)Time elapsed: 0.002 s
% 0.19/0.51 % (19728)Instructions burned: 1 (million)
% 0.19/0.51 % (19728)------------------------------
% 0.19/0.51 % (19728)------------------------------
% 0.19/0.51 % (19725)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (19727)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (19725)Refutation not found, incomplete strategy% (19725)------------------------------
% 0.19/0.51 % (19725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (19725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (19725)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (19725)Memory used [KB]: 5884
% 0.19/0.51 % (19725)Time elapsed: 0.105 s
% 0.19/0.51 % (19725)Instructions burned: 2 (million)
% 0.19/0.51 % (19725)------------------------------
% 0.19/0.51 % (19725)------------------------------
% 0.19/0.51 % (19747)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.51 % (19747)Refutation not found, incomplete strategy% (19747)------------------------------
% 0.19/0.51 % (19747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (19747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (19747)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (19747)Memory used [KB]: 1407
% 0.19/0.51 % (19747)Time elapsed: 0.119 s
% 0.19/0.51 % (19747)Instructions burned: 2 (million)
% 0.19/0.51 % (19747)------------------------------
% 0.19/0.51 % (19747)------------------------------
% 0.19/0.51 % (19726)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (19726)Refutation not found, incomplete strategy% (19726)------------------------------
% 0.19/0.51 % (19726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (19726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (19726)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (19726)Memory used [KB]: 5884
% 0.19/0.51 % (19726)Time elapsed: 0.115 s
% 0.19/0.51 % (19726)Instructions burned: 2 (million)
% 0.19/0.51 % (19726)------------------------------
% 0.19/0.51 % (19726)------------------------------
% 0.19/0.52 % (19746)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.52 % (19735)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (19729)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52 % (19729)Refutation not found, incomplete strategy% (19729)------------------------------
% 0.19/0.52 % (19729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (19729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (19729)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (19729)Memory used [KB]: 1407
% 0.19/0.52 % (19729)Time elapsed: 0.117 s
% 0.19/0.52 % (19729)Instructions burned: 1 (million)
% 0.19/0.52 % (19729)------------------------------
% 0.19/0.52 % (19729)------------------------------
% 0.19/0.52 % (19735)Refutation not found, incomplete strategy% (19735)------------------------------
% 0.19/0.52 % (19735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (19735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (19735)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (19735)Memory used [KB]: 6012
% 0.19/0.52 % (19735)Time elapsed: 0.123 s
% 0.19/0.52 % (19735)Instructions burned: 3 (million)
% 0.19/0.52 % (19735)------------------------------
% 0.19/0.52 % (19735)------------------------------
% 0.19/0.52 % (19749)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.52 % (19734)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.52 % (19739)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (19734)Refutation not found, incomplete strategy% (19734)------------------------------
% 0.19/0.52 % (19734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (19734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (19734)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (19734)Memory used [KB]: 5884
% 0.19/0.52 % (19734)Time elapsed: 0.131 s
% 0.19/0.52 % (19734)Instructions burned: 1 (million)
% 0.19/0.52 % (19734)------------------------------
% 0.19/0.52 % (19734)------------------------------
% 0.19/0.52 % (19738)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (19753)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.52 % (19740)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (19739)Instruction limit reached!
% 0.19/0.53 % (19739)------------------------------
% 0.19/0.53 % (19739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19739)Termination reason: Unknown
% 0.19/0.53 % (19739)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (19739)Memory used [KB]: 6012
% 0.19/0.53 % (19739)Time elapsed: 0.132 s
% 0.19/0.53 % (19739)Instructions burned: 7 (million)
% 0.19/0.53 % (19739)------------------------------
% 0.19/0.53 % (19739)------------------------------
% 0.19/0.53 % (19724)First to succeed.
% 0.19/0.53 % (19751)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (19740)Refutation not found, incomplete strategy% (19740)------------------------------
% 0.19/0.53 % (19740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19740)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (19740)Memory used [KB]: 6012
% 0.19/0.53 % (19740)Time elapsed: 0.129 s
% 0.19/0.53 % (19740)Instructions burned: 3 (million)
% 0.19/0.53 % (19740)------------------------------
% 0.19/0.53 % (19740)------------------------------
% 0.19/0.53 % (19750)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (19750)Refutation not found, incomplete strategy% (19750)------------------------------
% 0.19/0.53 % (19750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19750)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (19750)Memory used [KB]: 6012
% 0.19/0.53 % (19750)Time elapsed: 0.128 s
% 0.19/0.53 % (19750)Instructions burned: 2 (million)
% 0.19/0.53 % (19750)------------------------------
% 0.19/0.53 % (19750)------------------------------
% 0.19/0.53 % (19724)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (19724)------------------------------
% 0.19/0.53 % (19724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19724)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (19724)Memory used [KB]: 6012
% 0.19/0.53 % (19724)Time elapsed: 0.083 s
% 0.19/0.53 % (19724)Instructions burned: 4 (million)
% 0.19/0.53 % (19724)------------------------------
% 0.19/0.53 % (19724)------------------------------
% 0.19/0.53 % (19723)Success in time 0.177 s
%------------------------------------------------------------------------------