TSTP Solution File: PUZ001+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : PUZ001+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 : Thu Aug 31 13:19:23 EDT 2023
% Result : Theorem 1.16s 1.15s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 68 ( 23 unt; 0 def)
% Number of atoms : 397 ( 121 equ)
% Maximal formula atoms : 50 ( 5 avg)
% Number of connectives : 476 ( 147 ~; 130 |; 160 &)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 2 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 343 ( 13 sgn; 203 !; 106 ?)
% Comments :
%------------------------------------------------------------------------------
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(f2,conjecture,
? [X0] : predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
fof(f3,negated_conjecture,
~ ? [X0] : predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
inference(negated_conjecture,[],[f2]) ).
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(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(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(f7,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(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(flattening,[],[f7]) ).
fof(f9,plain,
! [X0] : ~ predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
inference(ennf_transformation,[],[f3]) ).
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,[],[f8]) ).
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(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(f19,plain,
predicate1(sK1,live,sK0),
inference(cnf_transformation,[],[f18]) ).
fof(f20,plain,
modifier_pp(sK1,in,'DreadburyMansion'),
inference(cnf_transformation,[],[f18]) ).
fof(f21,plain,
predicate2(sK2,kill,sK0,'AuntAgatha'),
inference(cnf_transformation,[],[f18]) ).
fof(f22,plain,
! [X26,X27] :
( 'Charles' = X26
| 'Butler' = X26
| 'AuntAgatha' = X26
| ~ modifier_pp(X27,in,'DreadburyMansion')
| ~ predicate1(X27,live,X26) ),
inference(cnf_transformation,[],[f18]) ).
fof(f23,plain,
! [X24,X22,X23] :
( predicate2(sK8(X22,X23),hate,X22,X23)
| ~ predicate2(X24,kill,X22,X23) ),
inference(cnf_transformation,[],[f18]) ).
fof(f24,plain,
! [X21,X18,X19,X20] :
( X18 != X21
| ~ property2(X21,rich,comp_than,X19)
| ~ predicate2(X20,kill,X18,X19) ),
inference(cnf_transformation,[],[f18]) ).
fof(f25,plain,
! [X16,X17,X15] :
( ~ predicate2(X17,hate,'Charles',X15)
| ~ predicate2(X16,hate,'AuntAgatha',X15) ),
inference(cnf_transformation,[],[f18]) ).
fof(f27,plain,
! [X12] :
( predicate2(sK7(X12),hate,'AuntAgatha',X12)
| 'Butler' = X12 ),
inference(cnf_transformation,[],[f18]) ).
fof(f28,plain,
! [X9] :
( predicate2(sK5(X9),hate,'Butler',X9)
| property2(sK6(X9),rich,comp_than,'AuntAgatha') ),
inference(cnf_transformation,[],[f18]) ).
fof(f29,plain,
! [X9] :
( predicate2(sK5(X9),hate,'Butler',X9)
| sK6(X9) = X9 ),
inference(cnf_transformation,[],[f18]) ).
fof(f30,plain,
! [X6,X7] :
( predicate2(sK4(X6),hate,'Butler',X6)
| ~ predicate2(X7,hate,'AuntAgatha',X6) ),
inference(cnf_transformation,[],[f18]) ).
fof(f31,plain,
! [X3,X5] : ~ predicate2(X5,hate,X3,sK3(X3)),
inference(cnf_transformation,[],[f18]) ).
fof(f32,plain,
'AuntAgatha' != 'Butler',
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
! [X0] : ~ predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X21,X19,X20] :
( ~ property2(X21,rich,comp_than,X19)
| ~ predicate2(X20,kill,X21,X19) ),
inference(equality_resolution,[],[f24]) ).
cnf(c_49,plain,
'AuntAgatha' != 'Butler',
inference(cnf_transformation,[],[f32]) ).
cnf(c_50,plain,
~ predicate2(X0,hate,X1,sK3(X1)),
inference(cnf_transformation,[],[f31]) ).
cnf(c_51,plain,
( ~ predicate2(X0,hate,'AuntAgatha',X1)
| predicate2(sK4(X1),hate,'Butler',X1) ),
inference(cnf_transformation,[],[f30]) ).
cnf(c_52,plain,
( sK6(X0) = X0
| predicate2(sK5(X0),hate,'Butler',X0) ),
inference(cnf_transformation,[],[f29]) ).
cnf(c_53,plain,
( predicate2(sK5(X0),hate,'Butler',X0)
| property2(sK6(X0),rich,comp_than,'AuntAgatha') ),
inference(cnf_transformation,[],[f28]) ).
cnf(c_54,plain,
( X0 = 'Butler'
| predicate2(sK7(X0),hate,'AuntAgatha',X0) ),
inference(cnf_transformation,[],[f27]) ).
cnf(c_56,plain,
( ~ predicate2(X0,hate,'Charles',X1)
| ~ predicate2(X2,hate,'AuntAgatha',X1) ),
inference(cnf_transformation,[],[f25]) ).
cnf(c_57,plain,
( ~ predicate2(X0,kill,X1,X2)
| ~ property2(X1,rich,comp_than,X2) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_58,plain,
( ~ predicate2(X0,kill,X1,X2)
| predicate2(sK8(X1,X2),hate,X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
cnf(c_59,plain,
( ~ predicate1(X0,live,X1)
| ~ modifier_pp(X0,in,'DreadburyMansion')
| X1 = 'AuntAgatha'
| X1 = 'Butler'
| X1 = 'Charles' ),
inference(cnf_transformation,[],[f22]) ).
cnf(c_60,plain,
predicate2(sK2,kill,sK0,'AuntAgatha'),
inference(cnf_transformation,[],[f21]) ).
cnf(c_61,plain,
modifier_pp(sK1,in,'DreadburyMansion'),
inference(cnf_transformation,[],[f20]) ).
cnf(c_62,plain,
predicate1(sK1,live,sK0),
inference(cnf_transformation,[],[f19]) ).
cnf(c_63,negated_conjecture,
~ predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
inference(cnf_transformation,[],[f33]) ).
cnf(c_168,plain,
( sK6(X0) != X1
| X2 != 'AuntAgatha'
| rich != rich
| comp_than != comp_than
| ~ predicate2(X3,kill,X1,X2)
| predicate2(sK5(X0),hate,'Butler',X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_57]) ).
cnf(c_169,plain,
( ~ predicate2(X0,kill,sK6(X1),'AuntAgatha')
| predicate2(sK5(X1),hate,'Butler',X1) ),
inference(unflattening,[status(thm)],[c_168]) ).
cnf(c_179,plain,
( X0 != sK1
| in != in
| 'DreadburyMansion' != 'DreadburyMansion'
| ~ predicate1(X0,live,X1)
| X1 = 'AuntAgatha'
| X1 = 'Butler'
| X1 = 'Charles' ),
inference(resolution_lifted,[status(thm)],[c_59,c_61]) ).
cnf(c_180,plain,
( ~ predicate1(sK1,live,X0)
| X0 = 'AuntAgatha'
| X0 = 'Butler'
| X0 = 'Charles' ),
inference(unflattening,[status(thm)],[c_179]) ).
cnf(c_198,plain,
( X0 != sK0
| live != live
| sK1 != sK1
| X0 = 'AuntAgatha'
| X0 = 'Butler'
| X0 = 'Charles' ),
inference(resolution_lifted,[status(thm)],[c_62,c_180]) ).
cnf(c_199,plain,
( sK0 = 'AuntAgatha'
| sK0 = 'Butler'
| sK0 = 'Charles' ),
inference(unflattening,[status(thm)],[c_198]) ).
cnf(c_421,plain,
sK6(sK3('Butler')) = sK3('Butler'),
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_430,plain,
( X0 = 'Butler'
| predicate2(sK4(X0),hate,'Butler',X0) ),
inference(superposition,[status(thm)],[c_54,c_51]) ).
cnf(c_442,plain,
predicate2(sK8(sK0,'AuntAgatha'),hate,sK0,'AuntAgatha'),
inference(superposition,[status(thm)],[c_60,c_58]) ).
cnf(c_443,plain,
( ~ predicate2(X0,kill,sK3('Butler'),'AuntAgatha')
| predicate2(sK5(sK3('Butler')),hate,'Butler',sK3('Butler')) ),
inference(superposition,[status(thm)],[c_421,c_169]) ).
cnf(c_444,plain,
~ predicate2(X0,kill,sK3('Butler'),'AuntAgatha'),
inference(forward_subsumption_resolution,[status(thm)],[c_443,c_50]) ).
cnf(c_450,plain,
sK3('Butler') = 'Butler',
inference(superposition,[status(thm)],[c_430,c_50]) ).
cnf(c_451,plain,
~ predicate2(X0,kill,'Butler','AuntAgatha'),
inference(demodulation,[status(thm)],[c_444,c_450]) ).
cnf(c_465,plain,
( 'AuntAgatha' = sK0
| 'Butler' = sK0
| predicate2(sK8('Charles','AuntAgatha'),hate,'Charles','AuntAgatha') ),
inference(superposition,[status(thm)],[c_199,c_442]) ).
cnf(c_486,plain,
( ~ predicate2(X0,hate,'AuntAgatha','AuntAgatha')
| 'AuntAgatha' = sK0
| 'Butler' = sK0 ),
inference(superposition,[status(thm)],[c_465,c_56]) ).
cnf(c_497,plain,
( 'AuntAgatha' = 'Butler'
| 'AuntAgatha' = sK0
| 'Butler' = sK0 ),
inference(superposition,[status(thm)],[c_54,c_486]) ).
cnf(c_498,plain,
( 'AuntAgatha' = sK0
| 'Butler' = sK0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_497,c_49]) ).
cnf(c_510,plain,
( 'AuntAgatha' = sK0
| predicate2(sK2,kill,'Butler','AuntAgatha') ),
inference(superposition,[status(thm)],[c_498,c_60]) ).
cnf(c_511,plain,
'AuntAgatha' = sK0,
inference(forward_subsumption_resolution,[status(thm)],[c_510,c_451]) ).
cnf(c_514,plain,
predicate2(sK2,kill,'AuntAgatha','AuntAgatha'),
inference(demodulation,[status(thm)],[c_60,c_511]) ).
cnf(c_515,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_514,c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ001+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 23:02:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.16/1.15 % SZS status Started for theBenchmark.p
% 1.16/1.15 % SZS status Theorem for theBenchmark.p
% 1.16/1.15
% 1.16/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.16/1.15
% 1.16/1.15 ------ iProver source info
% 1.16/1.15
% 1.16/1.15 git: date: 2023-05-31 18:12:56 +0000
% 1.16/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.16/1.15 git: non_committed_changes: false
% 1.16/1.15 git: last_make_outside_of_git: false
% 1.16/1.15
% 1.16/1.15 ------ Parsing...
% 1.16/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.16/1.15
% 1.16/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 1.16/1.15
% 1.16/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.16/1.15
% 1.16/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.16/1.15 ------ Proving...
% 1.16/1.15 ------ Problem Properties
% 1.16/1.15
% 1.16/1.15
% 1.16/1.15 clauses 12
% 1.16/1.15 conjectures 1
% 1.16/1.15 EPR 6
% 1.16/1.15 Horn 9
% 1.16/1.15 unary 5
% 1.16/1.15 binary 6
% 1.16/1.15 lits 20
% 1.16/1.15 lits eq 6
% 1.16/1.15 fd_pure 0
% 1.16/1.15 fd_pseudo 0
% 1.16/1.15 fd_cond 1
% 1.16/1.15 fd_pseudo_cond 0
% 1.16/1.15 AC symbols 0
% 1.16/1.15
% 1.16/1.15 ------ Schedule dynamic 5 is on
% 1.16/1.15
% 1.16/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.16/1.15
% 1.16/1.15
% 1.16/1.15 ------
% 1.16/1.15 Current options:
% 1.16/1.15 ------
% 1.16/1.15
% 1.16/1.15
% 1.16/1.15
% 1.16/1.15
% 1.16/1.15 ------ Proving...
% 1.16/1.15
% 1.16/1.15
% 1.16/1.15 % SZS status Theorem for theBenchmark.p
% 1.16/1.15
% 1.16/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.16/1.15
% 1.16/1.16
%------------------------------------------------------------------------------