TSTP Solution File: PUZ001+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n023.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 18:11:27 EDT 2022
% Result : Theorem 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 64 ( 21 unt; 0 def)
% Number of atoms : 373 ( 96 equ)
% Maximal formula atoms : 50 ( 5 avg)
% Number of connectives : 446 ( 137 ~; 107 |; 160 &)
% ( 3 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 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 : 314 ( 208 !; 106 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f104,plain,
$false,
inference(avatar_sat_refutation,[],[f66,f83,f96,f101]) ).
fof(f101,plain,
~ spl9_1,
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f100,plain,
( $false
| ~ spl9_1 ),
inference(subsumption_resolution,[],[f97,f52]) ).
fof(f52,plain,
! [X0] : ~ predicate2(X0,kill,'Butler','AuntAgatha'),
inference(resolution,[],[f49,f34]) ).
fof(f34,plain,
! [X6,X9,X7] :
( ~ property2(X9,rich,comp_than,X6)
| ~ predicate2(X7,kill,X9,X6) ),
inference(equality_resolution,[],[f31]) ).
fof(f31,plain,
! [X8,X6,X9,X7] :
( ~ property2(X9,rich,comp_than,X6)
| ~ predicate2(X7,kill,X8,X6)
| X8 != X9 ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ! [X3] :
( ( sK3(X3) = X3
& property2(sK3(X3),rich,comp_than,'AuntAgatha') )
| predicate2(sK4(X3),hate,'Butler',X3) )
& ! [X6,X7,X8,X9] :
( ~ property2(X9,rich,comp_than,X6)
| ~ predicate2(X7,kill,X8,X6)
| X8 != X9 )
& ! [X10] :
( 'Butler' = X10
| predicate2(sK5(X10),hate,'AuntAgatha',X10) )
& ! [X12,X13,X14] :
( ~ predicate2(X12,kill,X14,X13)
| predicate2(sK6(X13,X14),hate,X14,X13) )
& ! [X16,X18] : ~ predicate2(X18,hate,X16,sK7(X16))
& ! [X19,X20] :
( 'Charles' = X20
| 'AuntAgatha' = X20
| 'Butler' = X20
| ~ modifier_pp(X19,in,'DreadburyMansion')
| ~ predicate1(X19,live,X20) )
& predicate1(sK1,live,sK0)
& ! [X21,X22] :
( ! [X23] : ~ predicate2(X23,hate,'Charles',X22)
| ~ predicate2(X21,hate,'AuntAgatha',X22) )
& 'AuntAgatha' != 'Butler'
& modifier_pp(sK1,in,'DreadburyMansion')
& ! [X24,X25] :
( predicate2(sK8(X24),hate,'Butler',X24)
| ~ predicate2(X25,hate,'AuntAgatha',X24) )
& ! [X27] : ~ predicate2(X27,hate,'AuntAgatha','Butler')
& predicate2(sK2,kill,sK0,'AuntAgatha') ),
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] :
( ? [X4] :
( X3 = X4
& property2(X4,rich,comp_than,'AuntAgatha') )
| ? [X5] : predicate2(X5,hate,'Butler',X3) )
& ! [X6,X7,X8,X9] :
( ~ property2(X9,rich,comp_than,X6)
| ~ predicate2(X7,kill,X8,X6)
| X8 != X9 )
& ! [X10] :
( 'Butler' = X10
| ? [X11] : predicate2(X11,hate,'AuntAgatha',X10) )
& ! [X12,X13,X14] :
( ~ predicate2(X12,kill,X14,X13)
| ? [X15] : predicate2(X15,hate,X14,X13) )
& ! [X16] :
? [X17] :
! [X18] : ~ predicate2(X18,hate,X16,X17)
& ! [X19,X20] :
( 'Charles' = X20
| 'AuntAgatha' = X20
| 'Butler' = X20
| ~ modifier_pp(X19,in,'DreadburyMansion')
| ~ predicate1(X19,live,X20) )
& predicate1(X1,live,X0)
& ! [X21,X22] :
( ! [X23] : ~ predicate2(X23,hate,'Charles',X22)
| ~ predicate2(X21,hate,'AuntAgatha',X22) )
& 'AuntAgatha' != 'Butler'
& modifier_pp(X1,in,'DreadburyMansion')
& ! [X24,X25] :
( ? [X26] : predicate2(X26,hate,'Butler',X24)
| ~ predicate2(X25,hate,'AuntAgatha',X24) )
& ! [X27] : ~ predicate2(X27,hate,'AuntAgatha','Butler')
& predicate2(X2,kill,X0,'AuntAgatha') )
=> ( ! [X3] :
( ? [X4] :
( X3 = X4
& property2(X4,rich,comp_than,'AuntAgatha') )
| ? [X5] : predicate2(X5,hate,'Butler',X3) )
& ! [X6,X7,X8,X9] :
( ~ property2(X9,rich,comp_than,X6)
| ~ predicate2(X7,kill,X8,X6)
| X8 != X9 )
& ! [X10] :
( 'Butler' = X10
| ? [X11] : predicate2(X11,hate,'AuntAgatha',X10) )
& ! [X12,X13,X14] :
( ~ predicate2(X12,kill,X14,X13)
| ? [X15] : predicate2(X15,hate,X14,X13) )
& ! [X16] :
? [X17] :
! [X18] : ~ predicate2(X18,hate,X16,X17)
& ! [X19,X20] :
( 'Charles' = X20
| 'AuntAgatha' = X20
| 'Butler' = X20
| ~ modifier_pp(X19,in,'DreadburyMansion')
| ~ predicate1(X19,live,X20) )
& predicate1(sK1,live,sK0)
& ! [X21,X22] :
( ! [X23] : ~ predicate2(X23,hate,'Charles',X22)
| ~ predicate2(X21,hate,'AuntAgatha',X22) )
& 'AuntAgatha' != 'Butler'
& modifier_pp(sK1,in,'DreadburyMansion')
& ! [X24,X25] :
( ? [X26] : predicate2(X26,hate,'Butler',X24)
| ~ predicate2(X25,hate,'AuntAgatha',X24) )
& ! [X27] : ~ predicate2(X27,hate,'AuntAgatha','Butler')
& predicate2(sK2,kill,sK0,'AuntAgatha') ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X3] :
( ? [X4] :
( X3 = X4
& property2(X4,rich,comp_than,'AuntAgatha') )
=> ( sK3(X3) = X3
& property2(sK3(X3),rich,comp_than,'AuntAgatha') ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X3] :
( ? [X5] : predicate2(X5,hate,'Butler',X3)
=> predicate2(sK4(X3),hate,'Butler',X3) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X10] :
( ? [X11] : predicate2(X11,hate,'AuntAgatha',X10)
=> predicate2(sK5(X10),hate,'AuntAgatha',X10) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X13,X14] :
( ? [X15] : predicate2(X15,hate,X14,X13)
=> predicate2(sK6(X13,X14),hate,X14,X13) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X16] :
( ? [X17] :
! [X18] : ~ predicate2(X18,hate,X16,X17)
=> ! [X18] : ~ predicate2(X18,hate,X16,sK7(X16)) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X24] :
( ? [X26] : predicate2(X26,hate,'Butler',X24)
=> predicate2(sK8(X24),hate,'Butler',X24) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
? [X0,X1,X2] :
( ! [X3] :
( ? [X4] :
( X3 = X4
& property2(X4,rich,comp_than,'AuntAgatha') )
| ? [X5] : predicate2(X5,hate,'Butler',X3) )
& ! [X6,X7,X8,X9] :
( ~ property2(X9,rich,comp_than,X6)
| ~ predicate2(X7,kill,X8,X6)
| X8 != X9 )
& ! [X10] :
( 'Butler' = X10
| ? [X11] : predicate2(X11,hate,'AuntAgatha',X10) )
& ! [X12,X13,X14] :
( ~ predicate2(X12,kill,X14,X13)
| ? [X15] : predicate2(X15,hate,X14,X13) )
& ! [X16] :
? [X17] :
! [X18] : ~ predicate2(X18,hate,X16,X17)
& ! [X19,X20] :
( 'Charles' = X20
| 'AuntAgatha' = X20
| 'Butler' = X20
| ~ modifier_pp(X19,in,'DreadburyMansion')
| ~ predicate1(X19,live,X20) )
& predicate1(X1,live,X0)
& ! [X21,X22] :
( ! [X23] : ~ predicate2(X23,hate,'Charles',X22)
| ~ predicate2(X21,hate,'AuntAgatha',X22) )
& 'AuntAgatha' != 'Butler'
& modifier_pp(X1,in,'DreadburyMansion')
& ! [X24,X25] :
( ? [X26] : predicate2(X26,hate,'Butler',X24)
| ~ predicate2(X25,hate,'AuntAgatha',X24) )
& ! [X27] : ~ predicate2(X27,hate,'AuntAgatha','Butler')
& predicate2(X2,kill,X0,'AuntAgatha') ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
? [X2,X1,X0] :
( ! [X10] :
( ? [X11] :
( X10 = X11
& property2(X11,rich,comp_than,'AuntAgatha') )
| ? [X12] : predicate2(X12,hate,'Butler',X10) )
& ! [X8,X9,X6,X7] :
( ~ property2(X7,rich,comp_than,X8)
| ~ predicate2(X9,kill,X6,X8)
| X6 != X7 )
& ! [X22] :
( 'Butler' = X22
| ? [X23] : predicate2(X23,hate,'AuntAgatha',X22) )
& ! [X26,X25,X24] :
( ~ predicate2(X26,kill,X24,X25)
| ? [X27] : predicate2(X27,hate,X24,X25) )
& ! [X3] :
? [X4] :
! [X5] : ~ predicate2(X5,hate,X3,X4)
& ! [X17,X18] :
( 'Charles' = X18
| 'AuntAgatha' = X18
| 'Butler' = X18
| ~ modifier_pp(X17,in,'DreadburyMansion')
| ~ predicate1(X17,live,X18) )
& predicate1(X1,live,X2)
& ! [X15,X14] :
( ! [X16] : ~ predicate2(X16,hate,'Charles',X14)
| ~ predicate2(X15,hate,'AuntAgatha',X14) )
& 'AuntAgatha' != 'Butler'
& modifier_pp(X1,in,'DreadburyMansion')
& ! [X20,X19] :
( ? [X21] : predicate2(X21,hate,'Butler',X20)
| ~ predicate2(X19,hate,'AuntAgatha',X20) )
& ! [X13] : ~ predicate2(X13,hate,'AuntAgatha','Butler')
& predicate2(X0,kill,X2,'AuntAgatha') ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
? [X1,X2,X0] :
( ! [X10] :
( ? [X11] :
( X10 = X11
& property2(X11,rich,comp_than,'AuntAgatha') )
| ? [X12] : predicate2(X12,hate,'Butler',X10) )
& ! [X22] :
( 'Butler' = X22
| ? [X23] : predicate2(X23,hate,'AuntAgatha',X22) )
& ! [X13] : ~ predicate2(X13,hate,'AuntAgatha','Butler')
& ! [X18,X17] :
( 'AuntAgatha' = X18
| 'Butler' = X18
| 'Charles' = X18
| ~ modifier_pp(X17,in,'DreadburyMansion')
| ~ predicate1(X17,live,X18) )
& ! [X26,X25,X24] :
( ~ predicate2(X26,kill,X24,X25)
| ? [X27] : predicate2(X27,hate,X24,X25) )
& 'AuntAgatha' != 'Butler'
& predicate1(X1,live,X2)
& ! [X6,X8,X7,X9] :
( ~ property2(X7,rich,comp_than,X8)
| ~ predicate2(X9,kill,X6,X8)
| X6 != X7 )
& ! [X15,X14] :
( ! [X16] : ~ predicate2(X16,hate,'Charles',X14)
| ~ predicate2(X15,hate,'AuntAgatha',X14) )
& ! [X20,X19] :
( ? [X21] : predicate2(X21,hate,'Butler',X20)
| ~ predicate2(X19,hate,'AuntAgatha',X20) )
& ! [X3] :
? [X4] :
! [X5] : ~ predicate2(X5,hate,X3,X4)
& predicate2(X0,kill,X2,'AuntAgatha')
& modifier_pp(X1,in,'DreadburyMansion') ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X1,X2,X0] :
( ! [X10] :
( ~ ? [X11] :
( X10 = X11
& property2(X11,rich,comp_than,'AuntAgatha') )
=> ? [X12] : predicate2(X12,hate,'Butler',X10) )
& ! [X22] :
( 'Butler' != X22
=> ? [X23] : predicate2(X23,hate,'AuntAgatha',X22) )
& ~ ? [X13] : predicate2(X13,hate,'AuntAgatha','Butler')
& ! [X18,X17] :
( ( modifier_pp(X17,in,'DreadburyMansion')
& predicate1(X17,live,X18) )
=> ( 'AuntAgatha' = X18
| 'Butler' = X18
| 'Charles' = X18 ) )
& ! [X24,X26,X25] :
( predicate2(X26,kill,X24,X25)
=> ? [X27] : predicate2(X27,hate,X24,X25) )
& 'AuntAgatha' != 'Butler'
& predicate1(X1,live,X2)
& ! [X6] :
~ ? [X8,X7,X9] :
( predicate2(X9,kill,X6,X8)
& property2(X7,rich,comp_than,X8)
& X6 = X7 )
& ! [X14,X15] :
( predicate2(X15,hate,'AuntAgatha',X14)
=> ~ ? [X16] : predicate2(X16,hate,'Charles',X14) )
& ! [X20,X19] :
( predicate2(X19,hate,'AuntAgatha',X20)
=> ? [X21] : predicate2(X21,hate,'Butler',X20) )
& ! [X3] :
~ ! [X4] :
? [X5] : predicate2(X5,hate,X3,X4)
& predicate2(X0,kill,X2,'AuntAgatha')
& modifier_pp(X1,in,'DreadburyMansion') ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0,X1,X2] :
( ! [X3] :
~ ! [X4] :
? [X5] : predicate2(X5,hate,X3,X4)
& ! [X6] :
~ ? [X8,X7,X9] :
( predicate2(X9,kill,X6,X8)
& property2(X7,rich,comp_than,X8)
& X6 = X7 )
& modifier_pp(X1,in,'DreadburyMansion')
& ! [X10] :
( ~ ? [X11] :
( X10 = X11
& property2(X11,rich,comp_than,'AuntAgatha') )
=> ? [X12] : predicate2(X12,hate,'Butler',X10) )
& 'AuntAgatha' != 'Butler'
& ~ ? [X13] : predicate2(X13,hate,'AuntAgatha','Butler')
& predicate1(X1,live,X2)
& ! [X14,X15] :
( predicate2(X15,hate,'AuntAgatha',X14)
=> ~ ? [X16] : predicate2(X16,hate,'Charles',X14) )
& ! [X18,X17] :
( ( modifier_pp(X17,in,'DreadburyMansion')
& predicate1(X17,live,X18) )
=> ( 'AuntAgatha' = X18
| 'Butler' = X18
| 'Charles' = X18 ) )
& predicate2(X0,kill,X2,'AuntAgatha')
& ! [X20,X19] :
( predicate2(X19,hate,'AuntAgatha',X20)
=> ? [X21] : predicate2(X21,hate,'Butler',X20) )
& ! [X22] :
( 'Butler' != X22
=> ? [X23] : predicate2(X23,hate,'AuntAgatha',X22) )
& ! [X24,X25,X26] :
( predicate2(X26,kill,X24,X25)
=> ? [X27] : predicate2(X27,hate,X24,X25) ) ),
inference(true_and_false_elimination,[],[f4]) ).
fof(f4,plain,
? [X0,X1,X2] :
( $true
& ! [X3] :
( $true
=> ~ ! [X4] :
( $true
=> ? [X5] : predicate2(X5,hate,X3,X4) ) )
& ! [X6] :
( $true
=> ~ ? [X7,X8,X9] :
( $true
& X6 = X7
& property2(X7,rich,comp_than,X8)
& predicate2(X9,kill,X6,X8) ) )
& modifier_pp(X1,in,'DreadburyMansion')
& ! [X10] :
( ( $true
& ~ ? [X11] :
( X10 = X11
& property2(X11,rich,comp_than,'AuntAgatha') ) )
=> ? [X12] : predicate2(X12,hate,'Butler',X10) )
& 'AuntAgatha' != 'Butler'
& ~ ? [X13] : predicate2(X13,hate,'AuntAgatha','Butler')
& predicate1(X1,live,X2)
& ! [X14,X15] :
( ( $true
& predicate2(X15,hate,'AuntAgatha',X14) )
=> ~ ? [X16] : predicate2(X16,hate,'Charles',X14) )
& ! [X17,X18] :
( ( predicate1(X17,live,X18)
& modifier_pp(X17,in,'DreadburyMansion')
& $true )
=> ( 'AuntAgatha' = X18
| 'Butler' = X18
| 'Charles' = X18 ) )
& predicate2(X0,kill,X2,'AuntAgatha')
& ! [X19,X20] :
( ( predicate2(X19,hate,'AuntAgatha',X20)
& $true )
=> ? [X21] : predicate2(X21,hate,'Butler',X20) )
& ! [X22] :
( ( $true
& 'Butler' != X22 )
=> ? [X23] : predicate2(X23,hate,'AuntAgatha',X22) )
& ! [X24] :
( $true
=> ! [X25,X26] :
( ( $true
& predicate2(X26,kill,X24,X25) )
=> ? [X27] : predicate2(X27,hate,X24,X25) ) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
? [X2,X1,X0] :
( $true
& ! [X25] :
( $true
=> ~ ! [X26] :
( $true
=> ? [X27] : predicate2(X27,hate,X25,X26) ) )
& ! [X9] :
( $true
=> ~ ? [X12,X10,X11] :
( $true
& X9 = X12
& property2(X12,rich,comp_than,X10)
& predicate2(X11,kill,X9,X10) ) )
& modifier_pp(X1,in,'DreadburyMansion')
& ! [X19] :
( ( $true
& ~ ? [X20] :
( X19 = X20
& property2(X20,rich,comp_than,'AuntAgatha') ) )
=> ? [X21] : predicate2(X21,hate,'Butler',X19) )
& 'AuntAgatha' != 'Butler'
& ~ ? [X16] : predicate2(X16,hate,'AuntAgatha','Butler')
& predicate1(X1,live,X0)
& ! [X13,X14] :
( ( $true
& predicate2(X14,hate,'AuntAgatha',X13) )
=> ~ ? [X15] : predicate2(X15,hate,'Charles',X13) )
& ! [X4,X3] :
( ( predicate1(X4,live,X3)
& modifier_pp(X4,in,'DreadburyMansion')
& $true )
=> ( 'AuntAgatha' = X3
| 'Charles' = X3
| 'Butler' = X3 ) )
& predicate2(X2,kill,X0,'AuntAgatha')
& ! [X23,X22] :
( ( predicate2(X23,hate,'AuntAgatha',X22)
& $true )
=> ? [X24] : predicate2(X24,hate,'Butler',X22) )
& ! [X17] :
( ( $true
& 'Butler' != X17 )
=> ? [X18] : predicate2(X18,hate,'AuntAgatha',X17) )
& ! [X5] :
( $true
=> ! [X6,X7] :
( ( $true
& predicate2(X7,kill,X5,X6) )
=> ? [X8] : predicate2(X8,hate,X5,X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',background) ).
fof(f49,plain,
property2('Butler',rich,comp_than,'AuntAgatha'),
inference(forward_demodulation,[],[f48,f42]) ).
fof(f42,plain,
'Butler' = sK3('Butler'),
inference(backward_demodulation,[],[f37,f41]) ).
fof(f41,plain,
'Butler' = sK7('Butler'),
inference(resolution,[],[f38,f28]) ).
fof(f28,plain,
! [X18,X16] : ~ predicate2(X18,hate,X16,sK7(X16)),
inference(cnf_transformation,[],[f18]) ).
fof(f38,plain,
! [X0] :
( predicate2(sK8(X0),hate,'Butler',X0)
| 'Butler' = X0 ),
inference(resolution,[],[f22,f30]) ).
fof(f30,plain,
! [X10] :
( predicate2(sK5(X10),hate,'AuntAgatha',X10)
| 'Butler' = X10 ),
inference(cnf_transformation,[],[f18]) ).
fof(f22,plain,
! [X24,X25] :
( ~ predicate2(X25,hate,'AuntAgatha',X24)
| predicate2(sK8(X24),hate,'Butler',X24) ),
inference(cnf_transformation,[],[f18]) ).
fof(f37,plain,
sK3(sK7('Butler')) = sK7('Butler'),
inference(resolution,[],[f33,f28]) ).
fof(f33,plain,
! [X3] :
( predicate2(sK4(X3),hate,'Butler',X3)
| sK3(X3) = X3 ),
inference(cnf_transformation,[],[f18]) ).
fof(f48,plain,
property2(sK3('Butler'),rich,comp_than,'AuntAgatha'),
inference(forward_demodulation,[],[f47,f41]) ).
fof(f47,plain,
property2(sK3(sK7('Butler')),rich,comp_than,'AuntAgatha'),
inference(resolution,[],[f32,f28]) ).
fof(f32,plain,
! [X3] :
( predicate2(sK4(X3),hate,'Butler',X3)
| property2(sK3(X3),rich,comp_than,'AuntAgatha') ),
inference(cnf_transformation,[],[f18]) ).
fof(f97,plain,
( predicate2(sK2,kill,'Butler','AuntAgatha')
| ~ spl9_1 ),
inference(backward_demodulation,[],[f20,f57]) ).
fof(f57,plain,
( 'Butler' = sK0
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl9_1
<=> 'Butler' = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f20,plain,
predicate2(sK2,kill,sK0,'AuntAgatha'),
inference(cnf_transformation,[],[f18]) ).
fof(f96,plain,
~ spl9_3,
inference(avatar_contradiction_clause,[],[f95]) ).
fof(f95,plain,
( $false
| ~ spl9_3 ),
inference(subsumption_resolution,[],[f94,f24]) ).
fof(f24,plain,
'AuntAgatha' != 'Butler',
inference(cnf_transformation,[],[f18]) ).
fof(f94,plain,
( 'AuntAgatha' = 'Butler'
| ~ spl9_3 ),
inference(resolution,[],[f93,f30]) ).
fof(f93,plain,
( ! [X0] : ~ predicate2(X0,hate,'AuntAgatha','AuntAgatha')
| ~ spl9_3 ),
inference(resolution,[],[f25,f86]) ).
fof(f86,plain,
( predicate2(sK6('AuntAgatha','Charles'),hate,'Charles','AuntAgatha')
| ~ spl9_3 ),
inference(forward_demodulation,[],[f40,f65]) ).
fof(f65,plain,
( 'Charles' = sK0
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl9_3
<=> 'Charles' = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f40,plain,
predicate2(sK6('AuntAgatha',sK0),hate,sK0,'AuntAgatha'),
inference(resolution,[],[f29,f20]) ).
fof(f29,plain,
! [X14,X12,X13] :
( ~ predicate2(X12,kill,X14,X13)
| predicate2(sK6(X13,X14),hate,X14,X13) ),
inference(cnf_transformation,[],[f18]) ).
fof(f25,plain,
! [X21,X22,X23] :
( ~ predicate2(X23,hate,'Charles',X22)
| ~ predicate2(X21,hate,'AuntAgatha',X22) ),
inference(cnf_transformation,[],[f18]) ).
fof(f83,plain,
~ spl9_2,
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f82,plain,
( $false
| ~ spl9_2 ),
inference(subsumption_resolution,[],[f68,f67]) ).
fof(f67,plain,
( ! [X0] : ~ predicate2(X0,kill,sK0,sK0)
| ~ spl9_2 ),
inference(backward_demodulation,[],[f19,f61]) ).
fof(f61,plain,
( 'AuntAgatha' = sK0
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl9_2
<=> 'AuntAgatha' = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f19,plain,
! [X0] : ~ predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
inference(cnf_transformation,[],[f7]) ).
fof(f7,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(f68,plain,
( predicate2(sK2,kill,sK0,sK0)
| ~ spl9_2 ),
inference(backward_demodulation,[],[f20,f61]) ).
fof(f66,plain,
( spl9_1
| spl9_2
| spl9_3 ),
inference(avatar_split_clause,[],[f53,f63,f59,f55]) ).
fof(f53,plain,
( 'Charles' = sK0
| 'AuntAgatha' = sK0
| 'Butler' = sK0 ),
inference(resolution,[],[f51,f26]) ).
fof(f26,plain,
predicate1(sK1,live,sK0),
inference(cnf_transformation,[],[f18]) ).
fof(f51,plain,
! [X0] :
( ~ predicate1(sK1,live,X0)
| 'AuntAgatha' = X0
| 'Charles' = X0
| 'Butler' = X0 ),
inference(resolution,[],[f27,f23]) ).
fof(f23,plain,
modifier_pp(sK1,in,'DreadburyMansion'),
inference(cnf_transformation,[],[f18]) ).
fof(f27,plain,
! [X19,X20] :
( ~ modifier_pp(X19,in,'DreadburyMansion')
| ~ predicate1(X19,live,X20)
| 'Butler' = X20
| 'Charles' = X20
| 'AuntAgatha' = X20 ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : PUZ001+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n023.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 : Tue Aug 30 10:55:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.43 % (816)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.19/0.43 % (808)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.19/0.44 % (816)First to succeed.
% 0.19/0.44 % (808)Also succeeded, but the first one will report.
% 0.19/0.44 % (816)Refutation found. Thanks to Tanya!
% 0.19/0.44 % SZS status Theorem for theBenchmark
% 0.19/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.44 % (816)------------------------------
% 0.19/0.44 % (816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.44 % (816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.44 % (816)Termination reason: Refutation
% 0.19/0.44
% 0.19/0.44 % (816)Memory used [KB]: 5500
% 0.19/0.44 % (816)Time elapsed: 0.033 s
% 0.19/0.44 % (816)Instructions burned: 4 (million)
% 0.19/0.44 % (816)------------------------------
% 0.19/0.44 % (816)------------------------------
% 0.19/0.44 % (790)Success in time 0.102 s
%------------------------------------------------------------------------------