TSTP Solution File: ITP015+2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP015+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 : Sat May 4 08:06:28 EDT 2024
% Result : Theorem 3.23s 0.89s
% Output : CNFRefutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 72 ( 23 unt; 0 def)
% Number of atoms : 232 ( 44 equ)
% Maximal formula atoms : 37 ( 3 avg)
% Number of connectives : 272 ( 112 ~; 110 |; 18 &)
% ( 9 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 87 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax_false_p,axiom,
~ p(c_2Ebool_2EF),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',ax_false_p) ).
fof(ap_tp,axiom,
! [X1,X2,X3] :
( mem(X3,arr(X1,X2))
=> ! [X4] :
( mem(X4,X1)
=> mem(ap(X3,X4),X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',ap_tp) ).
fof(boolext,axiom,
! [X5] :
( mem(X5,bool)
=> ! [X6] :
( mem(X6,bool)
=> ( ( p(X5)
<=> p(X6) )
=> X5 = X6 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',boolext) ).
fof(mem_c_2Einteger_2Eint__lt,axiom,
mem(c_2Einteger_2Eint__lt,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',mem_c_2Einteger_2Eint__lt) ).
fof(mem_c_2Ebool_2EF,axiom,
mem(c_2Ebool_2EF,bool),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',mem_c_2Ebool_2EF) ).
fof(mem_c_2Einteger_2Eint__of__num,axiom,
mem(c_2Einteger_2Eint__of__num,arr(ty_2Enum_2Enum,ty_2Einteger_2Eint)),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',mem_c_2Einteger_2Eint__of__num) ).
fof(mem_c_2Einteger_2Eint__neg,axiom,
mem(c_2Einteger_2Eint__neg,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',mem_c_2Einteger_2Eint__neg) ).
fof(conj_thm_2Einteger_2EINT__LT__CALCULATE,axiom,
! [X26] :
( mem(X26,ty_2Enum_2Enum)
=> ! [X27] :
( mem(X27,ty_2Enum_2Enum)
=> ( ( p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X26)),ap(c_2Einteger_2Eint__of__num,X27)))
<=> p(ap(ap(c_2Eprim__rec_2E_3C,X26),X27)) )
& ( p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X26))),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X27))))
<=> p(ap(ap(c_2Eprim__rec_2E_3C,X27),X26)) )
& ( p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X26))),ap(c_2Einteger_2Eint__of__num,X27)))
<=> ( X26 != c_2Enum_2E0
| X27 != c_2Enum_2E0 ) )
& ( p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X26)),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X27))))
<=> ~ $true ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',conj_thm_2Einteger_2EINT__LT__CALCULATE) ).
fof(mem_c_2Enum_2E0,axiom,
mem(c_2Enum_2E0,ty_2Enum_2Enum),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',mem_c_2Enum_2E0) ).
fof(ax_thm_2Einteger__word_2Ei2w__def,axiom,
! [X9] :
( ne(X9)
=> ! [X28] :
( mem(X28,ty_2Einteger_2Eint)
=> ap(c_2Einteger__word_2Ei2w(X9),X28) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X9)),ap(ap(c_2Einteger_2Eint__lt,X28),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2Eword__2comp(X9),ap(c_2Ewords_2En2w(X9),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__neg,X28))))),ap(c_2Ewords_2En2w(X9),ap(c_2Einteger_2ENum,X28))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',ax_thm_2Einteger__word_2Ei2w__def) ).
fof(conj_thm_2Einteger_2ENUM__OF__INT,axiom,
! [X26] :
( mem(X26,ty_2Enum_2Enum)
=> ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,X26)) = X26 ),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',conj_thm_2Einteger_2ENUM__OF__INT) ).
fof(conj_thm_2Einteger_2EINT__NEG__0,axiom,
ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',conj_thm_2Einteger_2EINT__NEG__0) ).
fof(conj_thm_2Ebool_2Ebool__case__thm,axiom,
! [X9] :
( ne(X9)
=> ( ! [X12] :
( mem(X12,X9)
=> ! [X13] :
( mem(X13,X9)
=> ap(ap(ap(c_2Ebool_2ECOND(X9),c_2Ebool_2ET),X12),X13) = X12 ) )
& ! [X24] :
( mem(X24,X9)
=> ! [X25] :
( mem(X25,X9)
=> ap(ap(ap(c_2Ebool_2ECOND(X9),c_2Ebool_2EF),X24),X25) = X25 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',conj_thm_2Ebool_2Ebool__case__thm) ).
fof(mem_c_2Ewords_2Eword__2comp,axiom,
! [X9] :
( ne(X9)
=> mem(c_2Ewords_2Eword__2comp(X9),arr(ty_2Efcp_2Ecart(bool,X9),ty_2Efcp_2Ecart(bool,X9))) ),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',mem_c_2Ewords_2Eword__2comp) ).
fof(mem_c_2Ewords_2En2w,axiom,
! [X9] :
( ne(X9)
=> mem(c_2Ewords_2En2w(X9),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X9))) ),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',mem_c_2Ewords_2En2w) ).
fof(conj_thm_2Einteger__word_2Ei2w__0,conjecture,
! [X9] :
( ne(X9)
=> ap(c_2Einteger__word_2Ei2w(X9),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X9),c_2Enum_2E0) ),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',conj_thm_2Einteger__word_2Ei2w__0) ).
fof(ne_ty_2Efcp_2Ecart,axiom,
! [X10] :
( ne(X10)
=> ! [X11] :
( ne(X11)
=> ne(ty_2Efcp_2Ecart(X10,X11)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',ne_ty_2Efcp_2Ecart) ).
fof(bool_ne,axiom,
ne(bool),
file('/export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p',bool_ne) ).
fof(c_0_18,plain,
~ p(c_2Ebool_2EF),
inference(fof_simplification,[status(thm)],[ax_false_p]) ).
fof(c_0_19,plain,
! [X32,X33,X34,X35] :
( ~ mem(X34,arr(X32,X33))
| ~ mem(X35,X32)
| mem(ap(X34,X35),X33) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])]) ).
fof(c_0_20,plain,
! [X72,X73] :
( ( ~ p(X72)
| ~ p(X73)
| X72 = X73
| ~ mem(X73,bool)
| ~ mem(X72,bool) )
& ( p(X72)
| p(X73)
| X72 = X73
| ~ mem(X73,bool)
| ~ mem(X72,bool) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[boolext])])])])]) ).
fof(c_0_21,plain,
~ p(c_2Ebool_2EF),
inference(fof_nnf,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( mem(ap(X1,X4),X3)
| ~ mem(X1,arr(X2,X3))
| ~ mem(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
mem(c_2Einteger_2Eint__lt,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))),
inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__lt]) ).
cnf(c_0_24,plain,
( p(X1)
| p(X2)
| X1 = X2
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
mem(c_2Ebool_2EF,bool),
inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2EF]) ).
cnf(c_0_26,plain,
~ p(c_2Ebool_2EF),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( mem(ap(c_2Einteger_2Eint__lt,X1),arr(ty_2Einteger_2Eint,bool))
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
( X1 = c_2Ebool_2EF
| p(X1)
| ~ mem(X1,bool) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_29,plain,
( mem(ap(ap(c_2Einteger_2Eint__lt,X1),X2),bool)
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_22,c_0_27]) ).
cnf(c_0_30,plain,
mem(c_2Einteger_2Eint__of__num,arr(ty_2Enum_2Enum,ty_2Einteger_2Eint)),
inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__of__num]) ).
cnf(c_0_31,plain,
( ap(ap(c_2Einteger_2Eint__lt,X1),X2) = c_2Ebool_2EF
| p(ap(ap(c_2Einteger_2Eint__lt,X1),X2))
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
( mem(ap(c_2Einteger_2Eint__of__num,X1),ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Enum_2Enum) ),
inference(spm,[status(thm)],[c_0_22,c_0_30]) ).
cnf(c_0_33,plain,
mem(c_2Einteger_2Eint__neg,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),
inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__neg]) ).
cnf(c_0_34,plain,
( ap(ap(c_2Einteger_2Eint__lt,X1),ap(c_2Einteger_2Eint__of__num,X2)) = c_2Ebool_2EF
| p(ap(ap(c_2Einteger_2Eint__lt,X1),ap(c_2Einteger_2Eint__of__num,X2)))
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(X2,ty_2Enum_2Enum) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
( mem(ap(c_2Einteger_2Eint__neg,X1),ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_22,c_0_33]) ).
fof(c_0_36,plain,
! [X26] :
( mem(X26,ty_2Enum_2Enum)
=> ! [X27] :
( mem(X27,ty_2Enum_2Enum)
=> ( ( p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X26)),ap(c_2Einteger_2Eint__of__num,X27)))
<=> p(ap(ap(c_2Eprim__rec_2E_3C,X26),X27)) )
& ( p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X26))),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X27))))
<=> p(ap(ap(c_2Eprim__rec_2E_3C,X27),X26)) )
& ( p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X26))),ap(c_2Einteger_2Eint__of__num,X27)))
<=> ( X26 != c_2Enum_2E0
| X27 != c_2Enum_2E0 ) )
& ( p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X26)),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X27))))
<=> ~ $true ) ) ) ),
inference(fof_simplification,[status(thm)],[conj_thm_2Einteger_2EINT__LT__CALCULATE]) ).
cnf(c_0_37,plain,
( ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,X1)),ap(c_2Einteger_2Eint__of__num,X2)) = c_2Ebool_2EF
| p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,X1)),ap(c_2Einteger_2Eint__of__num,X2)))
| ~ mem(X2,ty_2Enum_2Enum)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
mem(c_2Enum_2E0,ty_2Enum_2Enum),
inference(split_conjunct,[status(thm)],[mem_c_2Enum_2E0]) ).
fof(c_0_39,plain,
! [X54,X55] :
( ( ~ p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X54)),ap(c_2Einteger_2Eint__of__num,X55)))
| p(ap(ap(c_2Eprim__rec_2E_3C,X54),X55))
| ~ mem(X55,ty_2Enum_2Enum)
| ~ mem(X54,ty_2Enum_2Enum) )
& ( ~ p(ap(ap(c_2Eprim__rec_2E_3C,X54),X55))
| p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X54)),ap(c_2Einteger_2Eint__of__num,X55)))
| ~ mem(X55,ty_2Enum_2Enum)
| ~ mem(X54,ty_2Enum_2Enum) )
& ( ~ p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X54))),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X55))))
| p(ap(ap(c_2Eprim__rec_2E_3C,X55),X54))
| ~ mem(X55,ty_2Enum_2Enum)
| ~ mem(X54,ty_2Enum_2Enum) )
& ( ~ p(ap(ap(c_2Eprim__rec_2E_3C,X55),X54))
| p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X54))),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X55))))
| ~ mem(X55,ty_2Enum_2Enum)
| ~ mem(X54,ty_2Enum_2Enum) )
& ( ~ p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X54))),ap(c_2Einteger_2Eint__of__num,X55)))
| X54 != c_2Enum_2E0
| X55 != c_2Enum_2E0
| ~ mem(X55,ty_2Enum_2Enum)
| ~ mem(X54,ty_2Enum_2Enum) )
& ( X54 = c_2Enum_2E0
| p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X54))),ap(c_2Einteger_2Eint__of__num,X55)))
| ~ mem(X55,ty_2Enum_2Enum)
| ~ mem(X54,ty_2Enum_2Enum) )
& ( X55 = c_2Enum_2E0
| p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X54))),ap(c_2Einteger_2Eint__of__num,X55)))
| ~ mem(X55,ty_2Enum_2Enum)
| ~ mem(X54,ty_2Enum_2Enum) )
& ( ~ p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X54)),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X55))))
| ~ $true
| ~ mem(X55,ty_2Enum_2Enum)
| ~ mem(X54,ty_2Enum_2Enum) )
& ( $true
| p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X54)),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X55))))
| ~ mem(X55,ty_2Enum_2Enum)
| ~ mem(X54,ty_2Enum_2Enum) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])]) ).
fof(c_0_40,plain,
! [X43,X44] :
( ~ ne(X43)
| ~ mem(X44,ty_2Einteger_2Eint)
| ap(c_2Einteger__word_2Ei2w(X43),X44) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X43)),ap(ap(c_2Einteger_2Eint__lt,X44),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2Eword__2comp(X43),ap(c_2Ewords_2En2w(X43),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__neg,X44))))),ap(c_2Ewords_2En2w(X43),ap(c_2Einteger_2ENum,X44))) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_thm_2Einteger__word_2Ei2w__def])])])]) ).
fof(c_0_41,plain,
! [X56] :
( ~ mem(X56,ty_2Enum_2Enum)
| ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,X56)) = X56 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2ENUM__OF__INT])])]) ).
cnf(c_0_42,plain,
( ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,X1)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = c_2Ebool_2EF
| p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,X1)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)))
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1))),ap(c_2Einteger_2Eint__of__num,X2)))
| X1 != c_2Enum_2E0
| X2 != c_2Enum_2E0
| ~ mem(X2,ty_2Enum_2Enum)
| ~ mem(X1,ty_2Enum_2Enum) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,plain,
ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0),
inference(split_conjunct,[status(thm)],[conj_thm_2Einteger_2EINT__NEG__0]) ).
cnf(c_0_45,plain,
( ap(c_2Einteger__word_2Ei2w(X1),X2) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Einteger_2Eint__lt,X2),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__neg,X2))))),ap(c_2Ewords_2En2w(X1),ap(c_2Einteger_2ENum,X2)))
| ~ ne(X1)
| ~ mem(X2,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,plain,
( ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,X1)) = X1
| ~ mem(X1,ty_2Enum_2Enum) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
( ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1))),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = c_2Ebool_2EF
| p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X1))),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)))
| ~ mem(X1,ty_2Enum_2Enum) ),
inference(spm,[status(thm)],[c_0_42,c_0_32]) ).
cnf(c_0_48,plain,
~ p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_43])]),c_0_44]),c_0_38])]) ).
fof(c_0_49,plain,
! [X67,X68,X69,X70,X71] :
( ( ~ mem(X68,X67)
| ~ mem(X69,X67)
| ap(ap(ap(c_2Ebool_2ECOND(X67),c_2Ebool_2ET),X68),X69) = X68
| ~ ne(X67) )
& ( ~ mem(X70,X67)
| ~ mem(X71,X67)
| ap(ap(ap(c_2Ebool_2ECOND(X67),c_2Ebool_2EF),X70),X71) = X71
| ~ ne(X67) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ebool_2Ebool__case__thm])])])])]) ).
cnf(c_0_50,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X2)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X2)))))),ap(c_2Ewords_2En2w(X1),X2)) = ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,X2))
| ~ mem(X2,ty_2Enum_2Enum)
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_32]) ).
cnf(c_0_51,plain,
ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = c_2Ebool_2EF,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_38]),c_0_44]),c_0_44]),c_0_48]) ).
fof(c_0_52,plain,
! [X57] :
( ~ ne(X57)
| mem(c_2Ewords_2Eword__2comp(X57),arr(ty_2Efcp_2Ecart(bool,X57),ty_2Efcp_2Ecart(bool,X57))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Ewords_2Eword__2comp])])]) ).
cnf(c_0_53,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X2),c_2Ebool_2EF),X1),X3) = X3
| ~ mem(X1,X2)
| ~ mem(X3,X2)
| ~ ne(X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),c_2Ebool_2EF),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))))),ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)) = ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_44]),c_0_51]),c_0_38])]) ).
cnf(c_0_55,plain,
( mem(c_2Ewords_2Eword__2comp(X1),arr(ty_2Efcp_2Ecart(bool,X1),ty_2Efcp_2Ecart(bool,X1)))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_56,plain,
! [X41] :
( ~ ne(X41)
| mem(c_2Ewords_2En2w(X41),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X41))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Ewords_2En2w])])]) ).
cnf(c_0_57,plain,
( ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)
| ~ mem(ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)))),ty_2Efcp_2Ecart(bool,X1))
| ~ mem(ap(c_2Ewords_2En2w(X1),c_2Enum_2E0),ty_2Efcp_2Ecart(bool,X1))
| ~ ne(ty_2Efcp_2Ecart(bool,X1))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,plain,
( mem(ap(c_2Ewords_2Eword__2comp(X1),X2),ty_2Efcp_2Ecart(bool,X1))
| ~ mem(X2,ty_2Efcp_2Ecart(bool,X1))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_55]) ).
cnf(c_0_59,plain,
( mem(c_2Ewords_2En2w(X1),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X1)))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_60,negated_conjecture,
~ ! [X9] :
( ne(X9)
=> ap(c_2Einteger__word_2Ei2w(X9),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X9),c_2Enum_2E0) ),
inference(assume_negation,[status(cth)],[conj_thm_2Einteger__word_2Ei2w__0]) ).
cnf(c_0_61,plain,
( ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)
| ~ mem(ap(c_2Ewords_2En2w(X1),c_2Enum_2E0),ty_2Efcp_2Ecart(bool,X1))
| ~ ne(ty_2Efcp_2Ecart(bool,X1))
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_46]),c_0_38])]),c_0_58]) ).
cnf(c_0_62,plain,
( mem(ap(c_2Ewords_2En2w(X1),X2),ty_2Efcp_2Ecart(bool,X1))
| ~ mem(X2,ty_2Enum_2Enum)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_59]) ).
fof(c_0_63,plain,
! [X52,X53] :
( ~ ne(X52)
| ~ ne(X53)
| ne(ty_2Efcp_2Ecart(X52,X53)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ne_ty_2Efcp_2Ecart])])])]) ).
fof(c_0_64,negated_conjecture,
( ne(esk1_0)
& ap(c_2Einteger__word_2Ei2w(esk1_0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) != ap(c_2Ewords_2En2w(esk1_0),c_2Enum_2E0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])]) ).
cnf(c_0_65,plain,
( ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)
| ~ ne(ty_2Efcp_2Ecart(bool,X1))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_38])]) ).
cnf(c_0_66,plain,
( ne(ty_2Efcp_2Ecart(X1,X2))
| ~ ne(X1)
| ~ ne(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_67,plain,
ne(bool),
inference(split_conjunct,[status(thm)],[bool_ne]) ).
cnf(c_0_68,negated_conjecture,
ap(c_2Einteger__word_2Ei2w(esk1_0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) != ap(c_2Ewords_2En2w(esk1_0),c_2Enum_2E0),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_69,plain,
( ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).
cnf(c_0_70,negated_conjecture,
ne(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ITP015+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 : Fri May 3 12:32:10 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.Vyag29A98o/E---3.1_4087.p
% 3.23/0.89 # Version: 3.1.0
% 3.23/0.89 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.23/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.23/0.89 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.23/0.89 # Starting new_bool_3 with 300s (1) cores
% 3.23/0.89 # Starting new_bool_1 with 300s (1) cores
% 3.23/0.89 # Starting sh5l with 300s (1) cores
% 3.23/0.89 # new_bool_1 with pid 4168 completed with status 0
% 3.23/0.89 # Result found by new_bool_1
% 3.23/0.89 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.23/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.23/0.89 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.23/0.89 # Starting new_bool_3 with 300s (1) cores
% 3.23/0.89 # Starting new_bool_1 with 300s (1) cores
% 3.23/0.89 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.23/0.89 # Search class: FGHSF-FFMM31-DFFFFFNN
% 3.23/0.89 # partial match(1): FGHSF-FFMM31-SFFFFFNN
% 3.23/0.89 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.23/0.89 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 3.23/0.89 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 4171 completed with status 0
% 3.23/0.89 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 3.23/0.89 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.23/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.23/0.89 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.23/0.89 # Starting new_bool_3 with 300s (1) cores
% 3.23/0.89 # Starting new_bool_1 with 300s (1) cores
% 3.23/0.89 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.23/0.89 # Search class: FGHSF-FFMM31-DFFFFFNN
% 3.23/0.89 # partial match(1): FGHSF-FFMM31-SFFFFFNN
% 3.23/0.89 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.23/0.89 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 3.23/0.89 # Preprocessing time : 0.001 s
% 3.23/0.89 # Presaturation interreduction done
% 3.23/0.89
% 3.23/0.89 # Proof found!
% 3.23/0.89 # SZS status Theorem
% 3.23/0.89 # SZS output start CNFRefutation
% See solution above
% 3.23/0.89 # Parsed axioms : 57
% 3.23/0.89 # Removed by relevancy pruning/SinE : 21
% 3.23/0.89 # Initial clauses : 69
% 3.23/0.89 # Removed in clause preprocessing : 24
% 3.23/0.89 # Initial clauses in saturation : 45
% 3.23/0.89 # Processed clauses : 3872
% 3.23/0.89 # ...of these trivial : 8
% 3.23/0.89 # ...subsumed : 2840
% 3.23/0.89 # ...remaining for further processing : 1024
% 3.23/0.89 # Other redundant clauses eliminated : 74
% 3.23/0.89 # Clauses deleted for lack of memory : 0
% 3.23/0.89 # Backward-subsumed : 281
% 3.23/0.89 # Backward-rewritten : 20
% 3.23/0.89 # Generated clauses : 13670
% 3.23/0.89 # ...of the previous two non-redundant : 11463
% 3.23/0.89 # ...aggressively subsumed : 0
% 3.23/0.89 # Contextual simplify-reflections : 39
% 3.23/0.89 # Paramodulations : 13545
% 3.23/0.89 # Factorizations : 39
% 3.23/0.89 # NegExts : 0
% 3.23/0.89 # Equation resolutions : 82
% 3.23/0.89 # Disequality decompositions : 0
% 3.23/0.89 # Total rewrite steps : 14204
% 3.23/0.89 # ...of those cached : 14171
% 3.23/0.89 # Propositional unsat checks : 0
% 3.23/0.89 # Propositional check models : 0
% 3.23/0.89 # Propositional check unsatisfiable : 0
% 3.23/0.89 # Propositional clauses : 0
% 3.23/0.89 # Propositional clauses after purity: 0
% 3.23/0.89 # Propositional unsat core size : 0
% 3.23/0.89 # Propositional preprocessing time : 0.000
% 3.23/0.89 # Propositional encoding time : 0.000
% 3.23/0.89 # Propositional solver time : 0.000
% 3.23/0.89 # Success case prop preproc time : 0.000
% 3.23/0.89 # Success case prop encoding time : 0.000
% 3.23/0.89 # Success case prop solver time : 0.000
% 3.23/0.89 # Current number of processed clauses : 666
% 3.23/0.89 # Positive orientable unit clauses : 33
% 3.23/0.89 # Positive unorientable unit clauses: 0
% 3.23/0.89 # Negative unit clauses : 3
% 3.23/0.89 # Non-unit-clauses : 630
% 3.23/0.89 # Current number of unprocessed clauses: 7089
% 3.23/0.89 # ...number of literals in the above : 40713
% 3.23/0.89 # Current number of archived formulas : 0
% 3.23/0.89 # Current number of archived clauses : 353
% 3.23/0.89 # Clause-clause subsumption calls (NU) : 75969
% 3.23/0.89 # Rec. Clause-clause subsumption calls : 21643
% 3.23/0.89 # Non-unit clause-clause subsumptions : 2192
% 3.23/0.89 # Unit Clause-clause subsumption calls : 715
% 3.23/0.89 # Rewrite failures with RHS unbound : 0
% 3.23/0.89 # BW rewrite match attempts : 85
% 3.23/0.89 # BW rewrite match successes : 18
% 3.23/0.89 # Condensation attempts : 0
% 3.23/0.89 # Condensation successes : 0
% 3.23/0.89 # Termbank termtop insertions : 545359
% 3.23/0.89 # Search garbage collected termcells : 1331
% 3.23/0.89
% 3.23/0.89 # -------------------------------------------------
% 3.23/0.89 # User time : 0.394 s
% 3.23/0.89 # System time : 0.009 s
% 3.23/0.89 # Total time : 0.403 s
% 3.23/0.89 # Maximum resident set size: 2028 pages
% 3.23/0.89
% 3.23/0.89 # -------------------------------------------------
% 3.23/0.89 # User time : 0.398 s
% 3.23/0.89 # System time : 0.010 s
% 3.23/0.89 # Total time : 0.408 s
% 3.23/0.89 # Maximum resident set size: 1792 pages
% 3.23/0.89 % E---3.1 exiting
% 3.23/0.89 % E exiting
%------------------------------------------------------------------------------