%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ001+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:32:38 PM UTC 2026
% Result : Theorem 1.77s 1.27s
% Output : CNFRefutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of formulae : 60 ( 24 unt; 0 def)
% Number of atoms : 293 ( 93 equ)
% Maximal formula atoms : 37 ( 4 avg)
% Number of connectives : 347 ( 114 ~; 103 |; 108 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 250 ( 0 sgn 179 !; 71 ?; 37 :)
% 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] :
( ( X17 != 'Butler'
& $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 )
=> ( X3 = 'Charles'
| X3 = 'Butler'
| X3 = 'AuntAgatha' ) )
& 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,[status(cth)],[f2]) ).
fof(f4,plain,
? [X0,X1,X2] :
( 'AuntAgatha' != 'Butler'
& ! [X25] :
~ ! [X26] :
? [X27] : predicate2(X27,hate,X25,X26)
& ! [X22,X23] :
( predicate2(X23,hate,'AuntAgatha',X22)
=> ? [X24] : predicate2(X24,hate,'Butler',X22) )
& ! [X19] :
( ~ ? [X20] :
( X19 = X20
& property2(X20,rich,comp_than,'AuntAgatha') )
=> ? [X21] : predicate2(X21,hate,'Butler',X19) )
& ! [X17] :
( X17 != 'Butler'
=> ? [X18] : predicate2(X18,hate,'AuntAgatha',X17) )
& ~ ? [X16] : predicate2(X16,hate,'AuntAgatha','Butler')
& ! [X13,X14] :
( predicate2(X14,hate,'AuntAgatha',X13)
=> ~ ? [X15] : predicate2(X15,hate,'Charles',X13) )
& ! [X9] :
~ ? [X10,X11,X12] :
( X9 = X12
& property2(X12,rich,comp_than,X10)
& predicate2(X11,kill,X9,X10) )
& ! [X5,X6,X7] :
( predicate2(X7,kill,X5,X6)
=> ? [X8] : predicate2(X8,hate,X5,X6) )
& ! [X3,X4] :
( ( modifier_pp(X4,in,'DreadburyMansion')
& predicate1(X4,live,X3) )
=> ( X3 = 'Charles'
| X3 = 'Butler'
| X3 = 'AuntAgatha' ) )
& predicate2(X2,kill,X0,'AuntAgatha')
& modifier_pp(X1,in,'DreadburyMansion')
& predicate1(X1,live,X0) ),
inference(true_and_false_elimination,[],[f1]) ).
fof(f5,plain,
? [X0,X1,X2] :
( 'AuntAgatha' != 'Butler'
& ! [X25] :
~ ! [X26] :
? [X27] : predicate2(X27,hate,X25,X26)
& ! [X22,X23] :
( predicate2(X23,hate,'AuntAgatha',X22)
=> ? [X24] : predicate2(X24,hate,'Butler',X22) )
& ! [X19] :
( ~ ? [X20] :
( X19 = X20
& property2(X20,rich,comp_than,'AuntAgatha') )
=> ? [X21] : predicate2(X21,hate,'Butler',X19) )
& ! [X17] :
( X17 != 'Butler'
=> ? [X18] : predicate2(X18,hate,'AuntAgatha',X17) )
& ~ ? [X16] : predicate2(X16,hate,'AuntAgatha','Butler')
& ! [X13,X14] :
( predicate2(X14,hate,'AuntAgatha',X13)
=> ~ ? [X15] : predicate2(X15,hate,'Charles',X13) )
& ! [X9] :
~ ? [X10,X11,X12] :
( X9 = X12
& property2(X12,rich,comp_than,X10)
& predicate2(X11,kill,X9,X10) )
& ! [X5,X6,X7] :
( predicate2(X7,kill,X5,X6)
=> ? [X8] : predicate2(X8,hate,X5,X6) )
& ! [X3,X4] :
( ( modifier_pp(X4,in,'DreadburyMansion')
& predicate1(X4,live,X3) )
=> ( X3 = 'Charles'
| X3 = 'Butler'
| X3 = 'AuntAgatha' ) )
& predicate2(X2,kill,X0,'AuntAgatha')
& modifier_pp(X1,in,'DreadburyMansion')
& predicate1(X1,live,X0) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0,X1,X2] :
( 'AuntAgatha' != 'Butler'
& ! [X25] :
? [X26] :
! [X27] : ~ predicate2(X27,hate,X25,X26)
& ! [X22,X23] :
( ~ predicate2(X23,hate,'AuntAgatha',X22)
| ? [X24] : predicate2(X24,hate,'Butler',X22) )
& ! [X19] :
( ? [X20] :
( X19 = X20
& property2(X20,rich,comp_than,'AuntAgatha') )
| ? [X21] : predicate2(X21,hate,'Butler',X19) )
& ! [X17] :
( 'Butler' = X17
| ? [X18] : predicate2(X18,hate,'AuntAgatha',X17) )
& ! [X16] : ~ predicate2(X16,hate,'AuntAgatha','Butler')
& ! [X13,X14] :
( ~ predicate2(X14,hate,'AuntAgatha',X13)
| ! [X15] : ~ predicate2(X15,hate,'Charles',X13) )
& ! [X9,X10,X11,X12] :
( X9 != X12
| ~ property2(X12,rich,comp_than,X10)
| ~ predicate2(X11,kill,X9,X10) )
& ! [X5,X6,X7] :
( ~ predicate2(X7,kill,X5,X6)
| ? [X8] : predicate2(X8,hate,X5,X6) )
& ! [X3,X4] :
( ~ modifier_pp(X4,in,'DreadburyMansion')
| ~ predicate1(X4,live,X3)
| X3 = 'Charles'
| X3 = 'Butler'
| X3 = 'AuntAgatha' )
& predicate2(X2,kill,X0,'AuntAgatha')
& modifier_pp(X1,in,'DreadburyMansion')
& predicate1(X1,live,X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0,X1,X2] :
( 'AuntAgatha' != 'Butler'
& ! [X25] :
? [X26] :
! [X27] : ~ predicate2(X27,hate,X25,X26)
& ! [X22,X23] :
( ~ predicate2(X23,hate,'AuntAgatha',X22)
| ? [X24] : predicate2(X24,hate,'Butler',X22) )
& ! [X19] :
( ? [X20] :
( X19 = X20
& property2(X20,rich,comp_than,'AuntAgatha') )
| ? [X21] : predicate2(X21,hate,'Butler',X19) )
& ! [X17] :
( 'Butler' = X17
| ? [X18] : predicate2(X18,hate,'AuntAgatha',X17) )
& ! [X16] : ~ predicate2(X16,hate,'AuntAgatha','Butler')
& ! [X13,X14] :
( ~ predicate2(X14,hate,'AuntAgatha',X13)
| ! [X15] : ~ predicate2(X15,hate,'Charles',X13) )
& ! [X9,X10,X11,X12] :
( X9 != X12
| ~ property2(X12,rich,comp_than,X10)
| ~ predicate2(X11,kill,X9,X10) )
& ! [X5,X6,X7] :
( ~ predicate2(X7,kill,X5,X6)
| ? [X8] : predicate2(X8,hate,X5,X6) )
& ! [X3,X4] :
( ~ modifier_pp(X4,in,'DreadburyMansion')
| ~ predicate1(X4,live,X3)
| X3 = 'Charles'
| X3 = 'Butler'
| X3 = 'AuntAgatha' )
& predicate2(X2,kill,X0,'AuntAgatha')
& modifier_pp(X1,in,'DreadburyMansion')
& predicate1(X1,live,X0) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0] : ~ predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
inference(ennf_transformation,[],[f3]) ).
fof(f9,plain,
? [X0,X1,X2] :
( 'AuntAgatha' != 'Butler'
& ! [X25] :
? [X26] :
! [X27] : ~ predicate2(X27,hate,X25,X26)
& ! [X22,X23] :
( ~ predicate2(X23,hate,'AuntAgatha',X22)
| ? [X24] : predicate2(X24,hate,'Butler',X22) )
& ! [X19] :
( ? [X21] :
( X19 = X21
& property2(X21,rich,comp_than,'AuntAgatha') )
| ? [X20] : predicate2(X20,hate,'Butler',X19) )
& ! [X17] :
( 'Butler' = X17
| ? [X18] : predicate2(X18,hate,'AuntAgatha',X17) )
& ! [X16] : ~ predicate2(X16,hate,'AuntAgatha','Butler')
& ! [X13,X14] :
( ~ predicate2(X14,hate,'AuntAgatha',X13)
| ! [X15] : ~ predicate2(X15,hate,'Charles',X13) )
& ! [X9,X10,X11,X12] :
( X9 != X12
| ~ property2(X12,rich,comp_than,X10)
| ~ predicate2(X11,kill,X9,X10) )
& ! [X5,X6,X7] :
( ~ predicate2(X7,kill,X5,X6)
| ? [X8] : predicate2(X8,hate,X5,X6) )
& ! [X3,X4] :
( ~ modifier_pp(X4,in,'DreadburyMansion')
| ~ predicate1(X4,live,X3)
| X3 = 'Charles'
| X3 = 'Butler'
| X3 = 'AuntAgatha' )
& predicate2(X2,kill,X0,'AuntAgatha')
& modifier_pp(X1,in,'DreadburyMansion')
& predicate1(X1,live,X0) ),
inference(rectify,[],[f7]) ).
fof(f10,plain,
( 'AuntAgatha' != 'Butler'
& ! [X25,X27] : ~ predicate2(X27,hate,X25,sK8(X25))
& ! [X22,X23] :
( ~ predicate2(X23,hate,'AuntAgatha',X22)
| predicate2(sK7(X22),hate,'Butler',X22) )
& ! [X19] :
( ( sK6(X19) = X19
& property2(sK6(X19),rich,comp_than,'AuntAgatha') )
| predicate2(sK5(X19),hate,'Butler',X19) )
& ! [X17] :
( 'Butler' = X17
| predicate2(sK4(X17),hate,'AuntAgatha',X17) )
& ! [X16] : ~ predicate2(X16,hate,'AuntAgatha','Butler')
& ! [X13,X14] :
( ~ predicate2(X14,hate,'AuntAgatha',X13)
| ! [X15] : ~ predicate2(X15,hate,'Charles',X13) )
& ! [X9,X10,X11,X12] :
( X9 != X12
| ~ property2(X12,rich,comp_than,X10)
| ~ predicate2(X11,kill,X9,X10) )
& ! [X5,X6,X7] :
( ~ predicate2(X7,kill,X5,X6)
| predicate2(sK3(X5,X6),hate,X5,X6) )
& ! [X3,X4] :
( ~ modifier_pp(X4,in,'DreadburyMansion')
| ~ predicate1(X4,live,X3)
| X3 = 'Charles'
| X3 = 'Butler'
| X3 = 'AuntAgatha' )
& predicate2(sK2,kill,sK0,'AuntAgatha')
& modifier_pp(sK1,in,'DreadburyMansion')
& predicate1(sK1,live,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X8,sK3(X5,X6)),skolemize(X18,sK4(X17)),skolemize(X20,sK5(X19)),skolemize(X21,sK6(X19)),skolemize(X24,sK7(X22)),skolemize(X26,sK8(X25))],[f9]) ).
fof(f11,plain,
'AuntAgatha' != 'Butler',
inference(cnf_transformation,[],[f10]) ).
fof(f12,plain,
! [X27,X25] : ~ predicate2(X27,hate,X25,sK8(X25)),
inference(cnf_transformation,[],[f10]) ).
fof(f13,plain,
! [X22,X23] :
( ~ predicate2(X23,hate,'AuntAgatha',X22)
| predicate2(sK7(X22),hate,'Butler',X22) ),
inference(cnf_transformation,[],[f10]) ).
fof(f14,plain,
! [X19] :
( sK6(X19) = X19
| predicate2(sK5(X19),hate,'Butler',X19) ),
inference(cnf_transformation,[],[f10]) ).
fof(f15,plain,
! [X19] :
( property2(sK6(X19),rich,comp_than,'AuntAgatha')
| predicate2(sK5(X19),hate,'Butler',X19) ),
inference(cnf_transformation,[],[f10]) ).
fof(f16,plain,
! [X17] :
( 'Butler' = X17
| predicate2(sK4(X17),hate,'AuntAgatha',X17) ),
inference(cnf_transformation,[],[f10]) ).
fof(f18,plain,
! [X14,X15,X13] :
( ~ predicate2(X14,hate,'AuntAgatha',X13)
| ~ predicate2(X15,hate,'Charles',X13) ),
inference(cnf_transformation,[],[f10]) ).
fof(f19,plain,
! [X10,X11,X9,X12] :
( X9 != X12
| ~ property2(X12,rich,comp_than,X10)
| ~ predicate2(X11,kill,X9,X10) ),
inference(cnf_transformation,[],[f10]) ).
fof(f20,plain,
! [X6,X7,X5] :
( ~ predicate2(X7,kill,X5,X6)
| predicate2(sK3(X5,X6),hate,X5,X6) ),
inference(cnf_transformation,[],[f10]) ).
fof(f21,plain,
! [X3,X4] :
( ~ modifier_pp(X4,in,'DreadburyMansion')
| ~ predicate1(X4,live,X3)
| 'Charles' = X3
| 'Butler' = X3
| 'AuntAgatha' = X3 ),
inference(cnf_transformation,[],[f10]) ).
fof(f22,plain,
predicate2(sK2,kill,sK0,'AuntAgatha'),
inference(cnf_transformation,[],[f10]) ).
fof(f23,plain,
modifier_pp(sK1,in,'DreadburyMansion'),
inference(cnf_transformation,[],[f10]) ).
fof(f24,plain,
predicate1(sK1,live,sK0),
inference(cnf_transformation,[],[f10]) ).
fof(f25,plain,
! [X0] : ~ predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X10,X11,X12] :
( ~ property2(X12,rich,comp_than,X10)
| ~ predicate2(X11,kill,X12,X10) ),
inference(equality_resolution,[],[f19]) ).
tcf(c_49,plain,
predicate1(sK1,live,sK0),
inference(cnf_transformation,[],[f24]) ).
tcf(c_50,plain,
modifier_pp(sK1,in,'DreadburyMansion'),
inference(cnf_transformation,[],[f23]) ).
tcf(c_51,plain,
predicate2(sK2,kill,sK0,'AuntAgatha'),
inference(cnf_transformation,[],[f22]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( ( X1 = 'Charles' )
| ( X1 = 'Butler' )
| ( X1 = 'AuntAgatha' )
| ~ modifier_pp(X0,in,'DreadburyMansion')
| ~ predicate1(X0,live,X1) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( predicate2(sK3(X1,X2),hate,X1,X2)
| ~ predicate2(X0,kill,X1,X2) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ property2(X1,rich,comp_than,X2)
| ~ predicate2(X0,kill,X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ predicate2(X2,hate,'AuntAgatha',X1)
| ~ predicate2(X0,hate,'Charles',X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_57,plain,
! [X0: $i] :
( predicate2(sK4(X0),hate,'AuntAgatha',X0)
| ( X0 = 'Butler' ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_58,plain,
! [X0: $i] :
( property2(sK6(X0),rich,comp_than,'AuntAgatha')
| predicate2(sK5(X0),hate,'Butler',X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_59,plain,
! [X0: $i] :
( predicate2(sK5(X0),hate,'Butler',X0)
| ( sK6(X0) = X0 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( predicate2(sK7(X1),hate,'Butler',X1)
| ~ predicate2(X0,hate,'AuntAgatha',X1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : ~ predicate2(X0,hate,X1,sK8(X1)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_62,plain,
'AuntAgatha' != 'Butler',
inference(cnf_transformation,[],[f11]) ).
tcf(c_63,negated_conjecture,
! [X0: $i] : ~ predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
inference(cnf_transformation,[],[f25]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( predicate2(sK5(X0),hate,'Butler',X0)
| ~ predicate2(X3,kill,X1,X2)
| ( comp_than != comp_than )
| ( rich != rich )
| ( X2 != 'AuntAgatha' )
| ( sK6(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_58]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i] :
( predicate2(sK5(X1),hate,'Butler',X1)
| ~ predicate2(X0,kill,sK6(X1),'AuntAgatha') ),
inference(unflattening,[status(thm)],[c_168]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i] :
( ( X1 = 'Charles' )
| ( X1 = 'Butler' )
| ( X1 = 'AuntAgatha' )
| ~ modifier_pp(X0,in,'DreadburyMansion')
| ( live != live )
| ( X1 != sK0 )
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_52]) ).
tcf(c_180,plain,
( ( sK0 = 'Charles' )
| ( sK0 = 'Butler' )
| ( sK0 = 'AuntAgatha' )
| ~ modifier_pp(sK1,in,'DreadburyMansion') ),
inference(unflattening,[status(thm)],[c_179]) ).
tcf(c_181,plain,
( ( sK0 = 'Charles' )
| ( sK0 = 'Butler' )
| ( sK0 = 'AuntAgatha' ) ),
inference(global_subsumption_just,[status(thm)],[c_180,c_50,c_180]) ).
tcf(c_267,negated_conjecture,
! [X0: $i] : ~ predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_405,plain,
sK6(sK8('Butler')) = sK8('Butler'),
inference(superposition,[status(thm)],[c_59,c_61]) ).
tcf(c_418,plain,
! [X0: $i] :
( predicate2(sK7(X0),hate,'Butler',X0)
| ( X0 = 'Butler' ) ),
inference(superposition,[status(thm)],[c_57,c_60]) ).
tcf(c_426,plain,
predicate2(sK3(sK0,'AuntAgatha'),hate,sK0,'AuntAgatha'),
inference(superposition,[status(thm)],[c_51,c_53]) ).
tcf(c_427,plain,
! [X0: $i] :
( predicate2(sK5(sK8('Butler')),hate,'Butler',sK8('Butler'))
| ~ predicate2(X0,kill,sK8('Butler'),'AuntAgatha') ),
inference(superposition,[status(thm)],[c_405,c_169]) ).
tcf(c_428,plain,
! [X0: $i] : ~ predicate2(X0,kill,sK8('Butler'),'AuntAgatha'),
inference(forward_subsumption_resolution,[status(thm)],[c_427,c_61]) ).
tcf(c_434,plain,
sK8('Butler') = 'Butler',
inference(superposition,[status(thm)],[c_418,c_61]) ).
tcf(c_435,plain,
! [X0: $i] : ~ predicate2(X0,kill,'Butler','AuntAgatha'),
inference(demodulation,[status(thm)],[c_428,c_434]) ).
tcf(c_449,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK0 = 'Butler' )
| ( sK0 = 'AuntAgatha' )
| ~ predicate2(X2,hate,'AuntAgatha',X1)
| ~ predicate2(X0,hate,sK0,X1) ),
inference(superposition,[status(thm)],[c_181,c_55]) ).
tcf(c_463,plain,
! [X0: $i,X1: $i] :
( ( sK0 = 'Butler' )
| ( sK0 = 'AuntAgatha' )
| ( X1 = 'Butler' )
| ~ predicate2(X0,hate,sK0,X1) ),
inference(superposition,[status(thm)],[c_57,c_449]) ).
tcf(c_477,plain,
( ( 'AuntAgatha' = 'Butler' )
| ( sK0 = 'Butler' )
| ( sK0 = 'AuntAgatha' ) ),
inference(superposition,[status(thm)],[c_426,c_463]) ).
tcf(c_478,plain,
( ( sK0 = 'Butler' )
| ( sK0 = 'AuntAgatha' ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_477,c_62]) ).
tcf(c_488,plain,
( predicate2(sK2,kill,'Butler','AuntAgatha')
| ( sK0 = 'AuntAgatha' ) ),
inference(superposition,[status(thm)],[c_478,c_51]) ).
tcf(c_489,plain,
sK0 = 'AuntAgatha',
inference(forward_subsumption_resolution,[status(thm)],[c_488,c_435]) ).
tcf(c_491,plain,
predicate2(sK2,kill,'AuntAgatha','AuntAgatha'),
inference(demodulation,[status(thm)],[c_51,c_489]) ).
tcf(c_492,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_491,c_267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ001+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n004.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 06:35:35 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.40 Running first-order theorem proving
% 0.02/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.41
% 0.02/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.41
% 0.02/0.41 % Detected problem language: tptp
% 0.02/0.42 % Proving...
% 1.77/1.27 % SZS status Started for theBenchmark.p
% 1.77/1.27 % SZS status Theorem for theBenchmark.p
% 1.77/1.27
% 1.77/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.77/1.27
% 1.77/1.27 % ------ iProver source info
% 1.77/1.27
% 1.77/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.77/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.77/1.27 % git: non_committed_changes: false
% 1.77/1.27
% 1.77/1.27 % ------ Parsing...
% 1.77/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.77/1.27
% 1.77/1.27 % ------ 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 %
% 1.77/1.27
% 1.77/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.77/1.27
% 1.77/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.77/1.27 % ------ Proving...
% 1.77/1.27 % ------ Problem Properties
% 1.77/1.27
% 1.77/1.27 %
% 1.77/1.27 % clauses 12
% 1.77/1.27 % conjectures 1
% 1.77/1.27 % EPR 6
% 1.77/1.27 % Horn 9
% 1.77/1.27 % unary 5
% 1.77/1.27 % binary 6
% 1.77/1.27 % lits 20
% 1.77/1.27 % lits eq 6
% 1.77/1.27 % fd_pure 0
% 1.77/1.27 % fd_pseudo 0
% 1.77/1.27 % fd_cond 1
% 1.77/1.27 % fd_pseudo_cond 0
% 1.77/1.27 % AC symbols 0
% 1.77/1.27
% 1.77/1.27 % ------ Schedule dynamic 5 is on
% 1.77/1.27
% 1.77/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.77/1.27
% 1.77/1.27
% 1.77/1.27 % ------
% 1.77/1.27 % Current options:
% 1.77/1.27 % ------
% 1.77/1.27
% 1.77/1.27
% 1.77/1.27 %
% 1.77/1.27
% 1.77/1.27 % ------ Proving...
% 1.77/1.27 %
% 1.77/1.27
% 1.77/1.27 % SZS status Theorem for theBenchmark.p
% 1.77/1.27
% 1.77/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.77/1.27
% 1.77/1.27
%------------------------------------------------------------------------------