TSTP Solution File: PUZ001+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ001+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 Apr 30 14:44:49 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 22 unt; 0 def)
% Number of atoms : 354 ( 94 equ)
% Maximal formula atoms : 50 ( 6 avg)
% Number of connectives : 427 ( 128 ~; 99 |; 160 &)
% ( 1 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 5 usr; 2 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 319 ( 213 !; 106 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f126,plain,
$false,
inference(subsumption_resolution,[],[f121,f19]) ).
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(f121,plain,
predicate2(sK2,kill,'AuntAgatha','AuntAgatha'),
inference(superposition,[],[f22,f117]) ).
fof(f117,plain,
'AuntAgatha' = sK0,
inference(subsumption_resolution,[],[f111,f84]) ).
fof(f84,plain,
property2('Butler',rich,comp_than,'AuntAgatha'),
inference(forward_demodulation,[],[f83,f55]) ).
fof(f55,plain,
'Butler' = sK3('Butler'),
inference(unit_resulting_resolution,[],[f52,f28]) ).
fof(f28,plain,
! [X12] :
( predicate2(sK7(X12),hate,'AuntAgatha',X12)
| 'Butler' = X12 ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( 'AuntAgatha' != 'Butler'
& ! [X3,X5] : ~ predicate2(X5,hate,X3,sK3(X3))
& ! [X6,X7] :
( predicate2(sK4(X6),hate,'Butler',X6)
| ~ predicate2(X7,hate,'AuntAgatha',X6) )
& ! [X9] :
( predicate2(sK5(X9),hate,'Butler',X9)
| ( sK6(X9) = X9
& property2(sK6(X9),rich,comp_than,'AuntAgatha') ) )
& ! [X12] :
( predicate2(sK7(X12),hate,'AuntAgatha',X12)
| 'Butler' = X12 )
& ! [X14] : ~ predicate2(X14,hate,'AuntAgatha','Butler')
& ! [X15,X16] :
( ! [X17] : ~ predicate2(X17,hate,'Charles',X15)
| ~ predicate2(X16,hate,'AuntAgatha',X15) )
& ! [X18,X19,X20,X21] :
( X18 != X21
| ~ property2(X21,rich,comp_than,X19)
| ~ predicate2(X20,kill,X18,X19) )
& ! [X22,X23,X24] :
( predicate2(sK8(X22,X23),hate,X22,X23)
| ~ predicate2(X24,kill,X22,X23) )
& ! [X26,X27] :
( 'Charles' = X26
| 'Butler' = X26
| 'AuntAgatha' = X26
| ~ modifier_pp(X27,in,'DreadburyMansion')
| ~ predicate1(X27,live,X26) )
& predicate2(sK2,kill,sK0,'AuntAgatha')
& modifier_pp(sK1,in,'DreadburyMansion')
& predicate1(sK1,live,sK0) ),
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] :
( 'AuntAgatha' != 'Butler'
& ! [X3] :
? [X4] :
! [X5] : ~ predicate2(X5,hate,X3,X4)
& ! [X6,X7] :
( ? [X8] : predicate2(X8,hate,'Butler',X6)
| ~ predicate2(X7,hate,'AuntAgatha',X6) )
& ! [X9] :
( ? [X10] : predicate2(X10,hate,'Butler',X9)
| ? [X11] :
( X9 = X11
& property2(X11,rich,comp_than,'AuntAgatha') ) )
& ! [X12] :
( ? [X13] : predicate2(X13,hate,'AuntAgatha',X12)
| 'Butler' = X12 )
& ! [X14] : ~ predicate2(X14,hate,'AuntAgatha','Butler')
& ! [X15,X16] :
( ! [X17] : ~ predicate2(X17,hate,'Charles',X15)
| ~ predicate2(X16,hate,'AuntAgatha',X15) )
& ! [X18,X19,X20,X21] :
( X18 != X21
| ~ property2(X21,rich,comp_than,X19)
| ~ predicate2(X20,kill,X18,X19) )
& ! [X22,X23,X24] :
( ? [X25] : predicate2(X25,hate,X22,X23)
| ~ predicate2(X24,kill,X22,X23) )
& ! [X26,X27] :
( 'Charles' = X26
| 'Butler' = X26
| 'AuntAgatha' = X26
| ~ modifier_pp(X27,in,'DreadburyMansion')
| ~ predicate1(X27,live,X26) )
& predicate2(X2,kill,X0,'AuntAgatha')
& modifier_pp(X1,in,'DreadburyMansion')
& predicate1(X1,live,X0) )
=> ( 'AuntAgatha' != 'Butler'
& ! [X3] :
? [X4] :
! [X5] : ~ predicate2(X5,hate,X3,X4)
& ! [X6,X7] :
( ? [X8] : predicate2(X8,hate,'Butler',X6)
| ~ predicate2(X7,hate,'AuntAgatha',X6) )
& ! [X9] :
( ? [X10] : predicate2(X10,hate,'Butler',X9)
| ? [X11] :
( X9 = X11
& property2(X11,rich,comp_than,'AuntAgatha') ) )
& ! [X12] :
( ? [X13] : predicate2(X13,hate,'AuntAgatha',X12)
| 'Butler' = X12 )
& ! [X14] : ~ predicate2(X14,hate,'AuntAgatha','Butler')
& ! [X15,X16] :
( ! [X17] : ~ predicate2(X17,hate,'Charles',X15)
| ~ predicate2(X16,hate,'AuntAgatha',X15) )
& ! [X18,X19,X20,X21] :
( X18 != X21
| ~ property2(X21,rich,comp_than,X19)
| ~ predicate2(X20,kill,X18,X19) )
& ! [X22,X23,X24] :
( ? [X25] : predicate2(X25,hate,X22,X23)
| ~ predicate2(X24,kill,X22,X23) )
& ! [X26,X27] :
( 'Charles' = X26
| 'Butler' = X26
| 'AuntAgatha' = X26
| ~ modifier_pp(X27,in,'DreadburyMansion')
| ~ predicate1(X27,live,X26) )
& predicate2(sK2,kill,sK0,'AuntAgatha')
& modifier_pp(sK1,in,'DreadburyMansion')
& predicate1(sK1,live,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X3] :
( ? [X4] :
! [X5] : ~ predicate2(X5,hate,X3,X4)
=> ! [X5] : ~ predicate2(X5,hate,X3,sK3(X3)) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X6] :
( ? [X8] : predicate2(X8,hate,'Butler',X6)
=> predicate2(sK4(X6),hate,'Butler',X6) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X9] :
( ? [X10] : predicate2(X10,hate,'Butler',X9)
=> predicate2(sK5(X9),hate,'Butler',X9) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X9] :
( ? [X11] :
( X9 = X11
& property2(X11,rich,comp_than,'AuntAgatha') )
=> ( sK6(X9) = X9
& property2(sK6(X9),rich,comp_than,'AuntAgatha') ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X12] :
( ? [X13] : predicate2(X13,hate,'AuntAgatha',X12)
=> predicate2(sK7(X12),hate,'AuntAgatha',X12) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X22,X23] :
( ? [X25] : predicate2(X25,hate,X22,X23)
=> predicate2(sK8(X22,X23),hate,X22,X23) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
? [X0,X1,X2] :
( 'AuntAgatha' != 'Butler'
& ! [X3] :
? [X4] :
! [X5] : ~ predicate2(X5,hate,X3,X4)
& ! [X6,X7] :
( ? [X8] : predicate2(X8,hate,'Butler',X6)
| ~ predicate2(X7,hate,'AuntAgatha',X6) )
& ! [X9] :
( ? [X10] : predicate2(X10,hate,'Butler',X9)
| ? [X11] :
( X9 = X11
& property2(X11,rich,comp_than,'AuntAgatha') ) )
& ! [X12] :
( ? [X13] : predicate2(X13,hate,'AuntAgatha',X12)
| 'Butler' = X12 )
& ! [X14] : ~ predicate2(X14,hate,'AuntAgatha','Butler')
& ! [X15,X16] :
( ! [X17] : ~ predicate2(X17,hate,'Charles',X15)
| ~ predicate2(X16,hate,'AuntAgatha',X15) )
& ! [X18,X19,X20,X21] :
( X18 != X21
| ~ property2(X21,rich,comp_than,X19)
| ~ predicate2(X20,kill,X18,X19) )
& ! [X22,X23,X24] :
( ? [X25] : predicate2(X25,hate,X22,X23)
| ~ predicate2(X24,kill,X22,X23) )
& ! [X26,X27] :
( 'Charles' = X26
| 'Butler' = X26
| 'AuntAgatha' = X26
| ~ modifier_pp(X27,in,'DreadburyMansion')
| ~ predicate1(X27,live,X26) )
& predicate2(X2,kill,X0,'AuntAgatha')
& modifier_pp(X1,in,'DreadburyMansion')
& predicate1(X1,live,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
? [X0,X1,X2] :
( 'AuntAgatha' != 'Butler'
& ! [X3] :
? [X4] :
! [X5] : ~ predicate2(X5,hate,X3,X4)
& ! [X6,X7] :
( ? [X8] : predicate2(X8,hate,'Butler',X6)
| ~ predicate2(X7,hate,'AuntAgatha',X6) )
& ! [X9] :
( ? [X11] : predicate2(X11,hate,'Butler',X9)
| ? [X10] :
( X9 = X10
& property2(X10,rich,comp_than,'AuntAgatha') ) )
& ! [X12] :
( ? [X13] : predicate2(X13,hate,'AuntAgatha',X12)
| 'Butler' = X12 )
& ! [X14] : ~ predicate2(X14,hate,'AuntAgatha','Butler')
& ! [X15,X16] :
( ! [X17] : ~ predicate2(X17,hate,'Charles',X15)
| ~ predicate2(X16,hate,'AuntAgatha',X15) )
& ! [X18,X19,X20,X21] :
( X18 != X21
| ~ property2(X21,rich,comp_than,X19)
| ~ predicate2(X20,kill,X18,X19) )
& ! [X22,X23,X24] :
( ? [X25] : predicate2(X25,hate,X22,X23)
| ~ predicate2(X24,kill,X22,X23) )
& ! [X26,X27] :
( 'Charles' = X26
| 'Butler' = X26
| 'AuntAgatha' = X26
| ~ modifier_pp(X27,in,'DreadburyMansion')
| ~ predicate1(X27,live,X26) )
& predicate2(X2,kill,X0,'AuntAgatha')
& modifier_pp(X1,in,'DreadburyMansion')
& predicate1(X1,live,X0) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
? [X0,X1,X2] :
( 'AuntAgatha' != 'Butler'
& ! [X3] :
? [X4] :
! [X5] : ~ predicate2(X5,hate,X3,X4)
& ! [X6,X7] :
( ? [X8] : predicate2(X8,hate,'Butler',X6)
| ~ predicate2(X7,hate,'AuntAgatha',X6) )
& ! [X9] :
( ? [X11] : predicate2(X11,hate,'Butler',X9)
| ? [X10] :
( X9 = X10
& property2(X10,rich,comp_than,'AuntAgatha') ) )
& ! [X12] :
( ? [X13] : predicate2(X13,hate,'AuntAgatha',X12)
| 'Butler' = X12 )
& ! [X14] : ~ predicate2(X14,hate,'AuntAgatha','Butler')
& ! [X15,X16] :
( ! [X17] : ~ predicate2(X17,hate,'Charles',X15)
| ~ predicate2(X16,hate,'AuntAgatha',X15) )
& ! [X18,X19,X20,X21] :
( X18 != X21
| ~ property2(X21,rich,comp_than,X19)
| ~ predicate2(X20,kill,X18,X19) )
& ! [X22,X23,X24] :
( ? [X25] : predicate2(X25,hate,X22,X23)
| ~ predicate2(X24,kill,X22,X23) )
& ! [X26,X27] :
( 'Charles' = X26
| 'Butler' = X26
| 'AuntAgatha' = X26
| ~ modifier_pp(X27,in,'DreadburyMansion')
| ~ predicate1(X27,live,X26) )
& predicate2(X2,kill,X0,'AuntAgatha')
& modifier_pp(X1,in,'DreadburyMansion')
& predicate1(X1,live,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0,X1,X2] :
( 'AuntAgatha' != 'Butler'
& ! [X3] :
~ ! [X4] :
? [X5] : predicate2(X5,hate,X3,X4)
& ! [X6,X7] :
( predicate2(X7,hate,'AuntAgatha',X6)
=> ? [X8] : predicate2(X8,hate,'Butler',X6) )
& ! [X9] :
( ~ ? [X10] :
( X9 = X10
& property2(X10,rich,comp_than,'AuntAgatha') )
=> ? [X11] : predicate2(X11,hate,'Butler',X9) )
& ! [X12] :
( 'Butler' != X12
=> ? [X13] : predicate2(X13,hate,'AuntAgatha',X12) )
& ~ ? [X14] : predicate2(X14,hate,'AuntAgatha','Butler')
& ! [X15,X16] :
( predicate2(X16,hate,'AuntAgatha',X15)
=> ~ ? [X17] : predicate2(X17,hate,'Charles',X15) )
& ! [X18] :
~ ? [X19,X20,X21] :
( X18 = X21
& property2(X21,rich,comp_than,X19)
& predicate2(X20,kill,X18,X19) )
& ! [X22,X23,X24] :
( predicate2(X24,kill,X22,X23)
=> ? [X25] : predicate2(X25,hate,X22,X23) )
& ! [X26,X27] :
( ( modifier_pp(X27,in,'DreadburyMansion')
& predicate1(X27,live,X26) )
=> ( 'Charles' = X26
| 'Butler' = X26
| 'AuntAgatha' = X26 ) )
& predicate2(X2,kill,X0,'AuntAgatha')
& modifier_pp(X1,in,'DreadburyMansion')
& predicate1(X1,live,X0) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0,X1,X2] :
( 'AuntAgatha' != 'Butler'
& ! [X3] :
~ ! [X4] :
? [X5] : predicate2(X5,hate,X3,X4)
& ! [X6,X7] :
( predicate2(X7,hate,'AuntAgatha',X6)
=> ? [X8] : predicate2(X8,hate,'Butler',X6) )
& ! [X9] :
( ~ ? [X10] :
( X9 = X10
& property2(X10,rich,comp_than,'AuntAgatha') )
=> ? [X11] : predicate2(X11,hate,'Butler',X9) )
& ! [X12] :
( 'Butler' != X12
=> ? [X13] : predicate2(X13,hate,'AuntAgatha',X12) )
& ~ ? [X14] : predicate2(X14,hate,'AuntAgatha','Butler')
& ! [X15,X16] :
( predicate2(X16,hate,'AuntAgatha',X15)
=> ~ ? [X17] : predicate2(X17,hate,'Charles',X15) )
& ! [X18] :
~ ? [X19,X20,X21] :
( X18 = X21
& property2(X21,rich,comp_than,X19)
& predicate2(X20,kill,X18,X19) )
& ! [X22,X23,X24] :
( predicate2(X24,kill,X22,X23)
=> ? [X25] : predicate2(X25,hate,X22,X23) )
& ! [X26,X27] :
( ( modifier_pp(X27,in,'DreadburyMansion')
& predicate1(X27,live,X26) )
=> ( 'Charles' = X26
| 'Butler' = X26
| 'AuntAgatha' = X26 ) )
& predicate2(X2,kill,X0,'AuntAgatha')
& modifier_pp(X1,in,'DreadburyMansion')
& predicate1(X1,live,X0) ),
inference(true_and_false_elimination,[],[f4]) ).
fof(f4,plain,
? [X0,X1,X2] :
( 'AuntAgatha' != 'Butler'
& ! [X3] :
( $true
=> ~ ! [X4] :
( $true
=> ? [X5] : predicate2(X5,hate,X3,X4) ) )
& ! [X6,X7] :
( ( predicate2(X7,hate,'AuntAgatha',X6)
& $true )
=> ? [X8] : predicate2(X8,hate,'Butler',X6) )
& ! [X9] :
( ( ~ ? [X10] :
( X9 = X10
& property2(X10,rich,comp_than,'AuntAgatha') )
& $true )
=> ? [X11] : predicate2(X11,hate,'Butler',X9) )
& ! [X12] :
( ( 'Butler' != X12
& $true )
=> ? [X13] : predicate2(X13,hate,'AuntAgatha',X12) )
& ~ ? [X14] : predicate2(X14,hate,'AuntAgatha','Butler')
& ! [X15,X16] :
( ( predicate2(X16,hate,'AuntAgatha',X15)
& $true )
=> ~ ? [X17] : predicate2(X17,hate,'Charles',X15) )
& ! [X18] :
( $true
=> ~ ? [X19,X20,X21] :
( X18 = X21
& property2(X21,rich,comp_than,X19)
& predicate2(X20,kill,X18,X19)
& $true ) )
& ! [X22] :
( $true
=> ! [X23,X24] :
( ( predicate2(X24,kill,X22,X23)
& $true )
=> ? [X25] : predicate2(X25,hate,X22,X23) ) )
& ! [X26,X27] :
( ( modifier_pp(X27,in,'DreadburyMansion')
& predicate1(X27,live,X26)
& $true )
=> ( 'Charles' = X26
| 'Butler' = X26
| 'AuntAgatha' = X26 ) )
& predicate2(X2,kill,X0,'AuntAgatha')
& modifier_pp(X1,in,'DreadburyMansion')
& predicate1(X1,live,X0)
& $true ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
? [X0,X1,X2] :
( 'AuntAgatha' != 'Butler'
& ! [X25] :
( $true
=> ~ ! [X26] :
( $true
=> ? [X27] : predicate2(X27,hate,X25,X26) ) )
& ! [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) )
& ! [X17] :
( ( 'Butler' != X17
& $true )
=> ? [X18] : predicate2(X18,hate,'AuntAgatha',X17) )
& ~ ? [X16] : predicate2(X16,hate,'AuntAgatha','Butler')
& ! [X13,X14] :
( ( predicate2(X14,hate,'AuntAgatha',X13)
& $true )
=> ~ ? [X15] : predicate2(X15,hate,'Charles',X13) )
& ! [X9] :
( $true
=> ~ ? [X10,X11,X12] :
( X9 = X12
& property2(X12,rich,comp_than,X10)
& predicate2(X11,kill,X9,X10)
& $true ) )
& ! [X5] :
( $true
=> ! [X6,X7] :
( ( predicate2(X7,kill,X5,X6)
& $true )
=> ? [X8] : predicate2(X8,hate,X5,X6) ) )
& ! [X3,X4] :
( ( modifier_pp(X4,in,'DreadburyMansion')
& predicate1(X4,live,X3)
& $true )
=> ( 'Charles' = X3
| 'Butler' = X3
| 'AuntAgatha' = X3 ) )
& predicate2(X2,kill,X0,'AuntAgatha')
& modifier_pp(X1,in,'DreadburyMansion')
& predicate1(X1,live,X0)
& $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',background) ).
fof(f52,plain,
! [X0] : ~ predicate2(X0,hate,'AuntAgatha',sK3('Butler')),
inference(unit_resulting_resolution,[],[f32,f31]) ).
fof(f31,plain,
! [X6,X7] :
( ~ predicate2(X7,hate,'AuntAgatha',X6)
| predicate2(sK4(X6),hate,'Butler',X6) ),
inference(cnf_transformation,[],[f18]) ).
fof(f32,plain,
! [X3,X5] : ~ predicate2(X5,hate,X3,sK3(X3)),
inference(cnf_transformation,[],[f18]) ).
fof(f83,plain,
property2(sK3('Butler'),rich,comp_than,'AuntAgatha'),
inference(forward_demodulation,[],[f79,f48]) ).
fof(f48,plain,
sK3('Butler') = sK6(sK3('Butler')),
inference(unit_resulting_resolution,[],[f32,f30]) ).
fof(f30,plain,
! [X9] :
( predicate2(sK5(X9),hate,'Butler',X9)
| sK6(X9) = X9 ),
inference(cnf_transformation,[],[f18]) ).
fof(f79,plain,
property2(sK6(sK3('Butler')),rich,comp_than,'AuntAgatha'),
inference(unit_resulting_resolution,[],[f32,f29]) ).
fof(f29,plain,
! [X9] :
( property2(sK6(X9),rich,comp_than,'AuntAgatha')
| predicate2(sK5(X9),hate,'Butler',X9) ),
inference(cnf_transformation,[],[f18]) ).
fof(f111,plain,
( ~ property2('Butler',rich,comp_than,'AuntAgatha')
| 'AuntAgatha' = sK0 ),
inference(superposition,[],[f50,f107]) ).
fof(f107,plain,
( 'Butler' = sK0
| 'AuntAgatha' = sK0 ),
inference(subsumption_resolution,[],[f101,f45]) ).
fof(f45,plain,
! [X0] : ~ predicate2(X0,hate,'Charles','AuntAgatha'),
inference(unit_resulting_resolution,[],[f44,f36]) ).
fof(f36,plain,
! [X17,X15] :
( ~ predicate2(X17,hate,'Charles',X15)
| ~ sP9(X15) ),
inference(general_splitting,[],[f26,f35_D]) ).
fof(f35,plain,
! [X16,X15] :
( ~ predicate2(X16,hate,'AuntAgatha',X15)
| sP9(X15) ),
inference(cnf_transformation,[],[f35_D]) ).
fof(f35_D,plain,
! [X15] :
( ! [X16] : ~ predicate2(X16,hate,'AuntAgatha',X15)
<=> ~ sP9(X15) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).
fof(f26,plain,
! [X16,X17,X15] :
( ~ predicate2(X17,hate,'Charles',X15)
| ~ predicate2(X16,hate,'AuntAgatha',X15) ),
inference(cnf_transformation,[],[f18]) ).
fof(f44,plain,
sP9('AuntAgatha'),
inference(unit_resulting_resolution,[],[f33,f41]) ).
fof(f41,plain,
! [X0] :
( sP9(X0)
| 'Butler' = X0 ),
inference(resolution,[],[f28,f35]) ).
fof(f33,plain,
'AuntAgatha' != 'Butler',
inference(cnf_transformation,[],[f18]) ).
fof(f101,plain,
( predicate2(sK8('Charles','AuntAgatha'),hate,'Charles','AuntAgatha')
| 'AuntAgatha' = sK0
| 'Butler' = sK0 ),
inference(superposition,[],[f68,f100]) ).
fof(f100,plain,
( 'Charles' = sK0
| 'AuntAgatha' = sK0
| 'Butler' = sK0 ),
inference(resolution,[],[f99,f20]) ).
fof(f20,plain,
predicate1(sK1,live,sK0),
inference(cnf_transformation,[],[f18]) ).
fof(f99,plain,
! [X0] :
( ~ predicate1(sK1,live,X0)
| 'AuntAgatha' = X0
| 'Charles' = X0
| 'Butler' = X0 ),
inference(resolution,[],[f23,f21]) ).
fof(f21,plain,
modifier_pp(sK1,in,'DreadburyMansion'),
inference(cnf_transformation,[],[f18]) ).
fof(f23,plain,
! [X26,X27] :
( ~ modifier_pp(X27,in,'DreadburyMansion')
| 'Butler' = X26
| 'AuntAgatha' = X26
| 'Charles' = X26
| ~ predicate1(X27,live,X26) ),
inference(cnf_transformation,[],[f18]) ).
fof(f68,plain,
predicate2(sK8(sK0,'AuntAgatha'),hate,sK0,'AuntAgatha'),
inference(unit_resulting_resolution,[],[f22,f24]) ).
fof(f24,plain,
! [X24,X22,X23] :
( ~ predicate2(X24,kill,X22,X23)
| predicate2(sK8(X22,X23),hate,X22,X23) ),
inference(cnf_transformation,[],[f18]) ).
fof(f50,plain,
~ property2(sK0,rich,comp_than,'AuntAgatha'),
inference(unit_resulting_resolution,[],[f22,f34]) ).
fof(f34,plain,
! [X21,X19,X20] :
( ~ property2(X21,rich,comp_than,X19)
| ~ predicate2(X20,kill,X21,X19) ),
inference(equality_resolution,[],[f25]) ).
fof(f25,plain,
! [X21,X18,X19,X20] :
( X18 != X21
| ~ property2(X21,rich,comp_than,X19)
| ~ predicate2(X20,kill,X18,X19) ),
inference(cnf_transformation,[],[f18]) ).
fof(f22,plain,
predicate2(sK2,kill,sK0,'AuntAgatha'),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ001+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 01:31:03 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (22305)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (22306)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (22308)WARNING: value z3 for option sas not known
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (22307)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (22309)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (22308)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (22310)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (22312)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (22311)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (22312)First to succeed.
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (22311)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [4]
% 0.14/0.38 % (22308)Also succeeded, but the first one will report.
% 0.14/0.38 % (22312)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (22312)------------------------------
% 0.14/0.38 % (22312)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (22312)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (22312)Memory used [KB]: 846
% 0.14/0.38 % (22312)Time elapsed: 0.007 s
% 0.14/0.38 % (22312)Instructions burned: 10 (million)
% 0.14/0.38 % (22312)------------------------------
% 0.14/0.38 % (22312)------------------------------
% 0.14/0.38 % (22305)Success in time 0.024 s
%------------------------------------------------------------------------------