TSTP Solution File: ITP012+5 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP012+5 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 08:08:51 EDT 2024
% Result : Theorem 106.89s 16.43s
% Output : CNFRefutation 106.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 28
% Syntax : Number of formulae : 193 ( 47 unt; 0 def)
% Number of atoms : 541 ( 130 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 606 ( 258 ~; 277 |; 18 &)
% ( 10 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-2 aty)
% Number of variables : 163 ( 1 sgn 76 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
! [X34] :
( mem(X34,ty_2Einteger_2Eint)
=> ! [X106] :
( mem(X106,ty_2Einteger_2Eint)
=> ! [X107] :
( mem(X107,ty_2Einteger_2Eint)
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X34),X106))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X34),ap(ap(c_2Einteger_2Eint__sub,X107),X106)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X34),X107)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).
fof(ap_tp,axiom,
! [X1,X2,X3] :
( mem(X3,arr(X1,X2))
=> ! [X4] :
( mem(X4,X1)
=> mem(ap(X3,X4),X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',ap_tp) ).
fof(ax_thm_2Ebool_2EF__DEF,axiom,
( ~ $true
<=> ! [X16] :
( mem(X16,bool)
=> p(X16) ) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',ax_thm_2Ebool_2EF__DEF) ).
fof(boolext,axiom,
! [X5] :
( mem(X5,bool)
=> ! [X6] :
( mem(X6,bool)
=> ( ( p(X5)
<=> p(X6) )
=> X5 = X6 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',boolext) ).
fof(mem_c_2Einteger_2Eint__divides,axiom,
mem(c_2Einteger_2Eint__divides,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',mem_c_2Einteger_2Eint__divides) ).
fof(conj_thm_2Einteger_2EINT__EQ__NEG,axiom,
! [X32] :
( mem(X32,ty_2Einteger_2Eint)
=> ! [X25] :
( mem(X25,ty_2Einteger_2Eint)
=> ( ap(c_2Einteger_2Eint__neg,X32) = ap(c_2Einteger_2Eint__neg,X25)
<=> X32 = X25 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Einteger_2EINT__EQ__NEG) ).
fof(mem_c_2Einteger_2Eint__neg,axiom,
mem(c_2Einteger_2Eint__neg,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',mem_c_2Einteger_2Eint__neg) ).
fof(conj_thm_2Einteger_2EINT__NEGNEG,axiom,
! [X32] :
( mem(X32,ty_2Einteger_2Eint)
=> ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__neg,X32)) = X32 ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Einteger_2EINT__NEGNEG) ).
fof(mem_c_2Einteger_2Eint__sub,axiom,
mem(c_2Einteger_2Eint__sub,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',mem_c_2Einteger_2Eint__sub) ).
fof(conj_thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
! [X34] :
( mem(X34,ty_2Einteger_2Eint)
=> ! [X106] :
( mem(X106,ty_2Einteger_2Eint)
=> ( ( p(ap(ap(c_2Einteger_2Eint__divides,X34),ap(c_2Einteger_2Eint__neg,X106)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X34),X106)) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,X34)),X106))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X34),X106)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Einteger_2EINT__DIVIDES__NEG) ).
fof(conj_thm_2Einteger_2EINT__DIVIDES__REFL,axiom,
! [X32] :
( mem(X32,ty_2Einteger_2Eint)
=> p(ap(ap(c_2Einteger_2Eint__divides,X32),X32)) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Einteger_2EINT__DIVIDES__REFL) ).
fof(conj_thm_2Einteger_2EINT__ADD__RINV,axiom,
! [X32] :
( mem(X32,ty_2Einteger_2Eint)
=> ap(ap(c_2Einteger_2Eint__add,X32),ap(c_2Einteger_2Eint__neg,X32)) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Einteger_2EINT__ADD__RINV) ).
fof(conj_thm_2Einteger_2EINT__SUB__REFL,axiom,
! [X32] :
( mem(X32,ty_2Einteger_2Eint)
=> ap(ap(c_2Einteger_2Eint__sub,X32),X32) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Einteger_2EINT__SUB__REFL) ).
fof(conj_thm_2Einteger_2EINT__ADD__SUB,axiom,
! [X32] :
( mem(X32,ty_2Einteger_2Eint)
=> ! [X25] :
( mem(X25,ty_2Einteger_2Eint)
=> ap(ap(c_2Einteger_2Eint__sub,ap(ap(c_2Einteger_2Eint__add,X32),X25)),X32) = X25 ) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Einteger_2EINT__ADD__SUB) ).
fof(conj_thm_2Ebool_2EEXISTS__REFL,axiom,
! [X9] :
( ne(X9)
=> ! [X76] :
( mem(X76,X9)
=> ? [X17] :
( mem(X17,X9)
& X17 = X76 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Ebool_2EEXISTS__REFL) ).
fof(conj_thm_2Einteger_2EINT__SUB__SUB,axiom,
! [X32] :
( mem(X32,ty_2Einteger_2Eint)
=> ! [X25] :
( mem(X25,ty_2Einteger_2Eint)
=> ap(ap(c_2Einteger_2Eint__sub,ap(ap(c_2Einteger_2Eint__sub,X32),X25)),X32) = ap(c_2Einteger_2Eint__neg,X25) ) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Einteger_2EINT__SUB__SUB) ).
fof(bool_ne,axiom,
ne(bool),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',bool_ne) ).
fof(conj_thm_2Einteger_2EINT__SUB__SUB2,axiom,
! [X32] :
( mem(X32,ty_2Einteger_2Eint)
=> ! [X25] :
( mem(X25,ty_2Einteger_2Eint)
=> ap(ap(c_2Einteger_2Eint__sub,X32),ap(ap(c_2Einteger_2Eint__sub,X32),X25)) = X25 ) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Einteger_2EINT__SUB__SUB2) ).
fof(conj_thm_2Einteger_2EINT__DIVIDES__LSUB,axiom,
! [X34] :
( mem(X34,ty_2Einteger_2Eint)
=> ! [X106] :
( mem(X106,ty_2Einteger_2Eint)
=> ! [X107] :
( mem(X107,ty_2Einteger_2Eint)
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X34),X106))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X34),ap(ap(c_2Einteger_2Eint__sub,X106),X107)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X34),X107)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Einteger_2EINT__DIVIDES__LSUB) ).
fof(conj_thm_2Einteger_2EINT__LE__TOTAL,axiom,
! [X32] :
( mem(X32,ty_2Einteger_2Eint)
=> ! [X25] :
( mem(X25,ty_2Einteger_2Eint)
=> ( p(ap(ap(c_2Einteger_2Eint__le,X32),X25))
| p(ap(ap(c_2Einteger_2Eint__le,X25),X32)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Einteger_2EINT__LE__TOTAL) ).
fof(conj_thm_2Einteger_2EINT__LE__SQUARE,axiom,
! [X32] :
( mem(X32,ty_2Einteger_2Eint)
=> p(ap(ap(c_2Einteger_2Eint__le,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(ap(c_2Einteger_2Eint__mul,X32),X32))) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Einteger_2EINT__LE__SQUARE) ).
fof(conj_thm_2Einteger_2EINT__MUL__RZERO,axiom,
! [X32] :
( mem(X32,ty_2Einteger_2Eint)
=> ap(ap(c_2Einteger_2Eint__mul,X32),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Einteger_2EINT__MUL__RZERO) ).
fof(mem_c_2Einteger_2Eint__le,axiom,
mem(c_2Einteger_2Eint__le,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',mem_c_2Einteger_2Eint__le) ).
fof(conj_thm_2Einteger_2EINT__SUB__LE,axiom,
! [X32] :
( mem(X32,ty_2Einteger_2Eint)
=> ! [X25] :
( mem(X25,ty_2Einteger_2Eint)
=> ( p(ap(ap(c_2Einteger_2Eint__le,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(ap(c_2Einteger_2Eint__sub,X32),X25)))
<=> p(ap(ap(c_2Einteger_2Eint__le,X25),X32)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Einteger_2EINT__SUB__LE) ).
fof(conj_thm_2Earithmetic_2ELESS__EQ__0,axiom,
! [X137] :
( mem(X137,ty_2Enum_2Enum)
=> ( p(ap(ap(c_2Earithmetic_2E_3C_3D,X137),c_2Enum_2E0))
<=> X137 = c_2Enum_2E0 ) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Earithmetic_2ELESS__EQ__0) ).
fof(mem_c_2Enum_2E0,axiom,
mem(c_2Enum_2E0,ty_2Enum_2Enum),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',mem_c_2Enum_2E0) ).
fof(conj_thm_2Einteger_2EINT__NEG__SUB,axiom,
! [X32] :
( mem(X32,ty_2Einteger_2Eint)
=> ! [X25] :
( mem(X25,ty_2Einteger_2Eint)
=> ap(c_2Einteger_2Eint__neg,ap(ap(c_2Einteger_2Eint__sub,X32),X25)) = ap(ap(c_2Einteger_2Eint__sub,X25),X32) ) ),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',conj_thm_2Einteger_2EINT__NEG__SUB) ).
fof(mem_c_2Earithmetic_2E_3C_3D,axiom,
mem(c_2Earithmetic_2E_3C_3D,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,bool))),
file('/export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p',mem_c_2Earithmetic_2E_3C_3D) ).
fof(c_0_28,negated_conjecture,
~ ! [X34] :
( mem(X34,ty_2Einteger_2Eint)
=> ! [X106] :
( mem(X106,ty_2Einteger_2Eint)
=> ! [X107] :
( mem(X107,ty_2Einteger_2Eint)
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X34),X106))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,X34),ap(ap(c_2Einteger_2Eint__sub,X107),X106)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,X34),X107)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Einteger_2EINT__DIVIDES__RSUB]) ).
fof(c_0_29,plain,
! [X13765,X13766,X13767,X13768] :
( ~ mem(X13767,arr(X13765,X13766))
| ~ mem(X13768,X13765)
| mem(ap(X13767,X13768),X13766) ),
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_30,plain,
! [X12983] :
( ( $true
| ~ mem(X12983,bool)
| p(X12983) )
& ( mem(esk4_0,bool)
| ~ $true )
& ( ~ p(esk4_0)
| ~ $true ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_thm_2Ebool_2EF__DEF])])])])])]) ).
fof(c_0_31,plain,
! [X12981,X12982] :
( ( ~ p(X12981)
| ~ p(X12982)
| X12981 = X12982
| ~ mem(X12982,bool)
| ~ mem(X12981,bool) )
& ( p(X12981)
| p(X12982)
| X12981 = X12982
| ~ mem(X12982,bool)
| ~ mem(X12981,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_32,negated_conjecture,
( mem(esk1_0,ty_2Einteger_2Eint)
& mem(esk2_0,ty_2Einteger_2Eint)
& mem(esk3_0,ty_2Einteger_2Eint)
& p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0))
& ( ~ p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0)) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)))
| p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0)) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
cnf(c_0_33,plain,
( mem(ap(X1,X4),X3)
| ~ mem(X1,arr(X2,X3))
| ~ mem(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
mem(c_2Einteger_2Eint__divides,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))),
inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__divides]) ).
cnf(c_0_35,plain,
( mem(esk4_0,bool)
| $false ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
( ~ p(esk4_0)
| $false ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
( X1 = X2
| ~ p(X1)
| ~ p(X2)
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,negated_conjecture,
p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( mem(ap(c_2Einteger_2Eint__divides,X1),arr(ty_2Einteger_2Eint,bool))
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,plain,
( p(X1)
| p(X2)
| X1 = X2
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
mem(esk4_0,bool),
inference(cn,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
~ p(esk4_0),
inference(cn,[status(thm)],[c_0_36]) ).
cnf(c_0_43,negated_conjecture,
( X1 = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0)
| ~ p(X1)
| ~ mem(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0),bool)
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,plain,
( mem(ap(ap(c_2Einteger_2Eint__divides,X1),X2),bool)
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_33,c_0_39]) ).
cnf(c_0_45,negated_conjecture,
mem(esk2_0,ty_2Einteger_2Eint),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_46,negated_conjecture,
mem(esk1_0,ty_2Einteger_2Eint),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_47,plain,
! [X13975,X13976] :
( ( ap(c_2Einteger_2Eint__neg,X13975) != ap(c_2Einteger_2Eint__neg,X13976)
| X13975 = X13976
| ~ mem(X13976,ty_2Einteger_2Eint)
| ~ mem(X13975,ty_2Einteger_2Eint) )
& ( X13975 != X13976
| ap(c_2Einteger_2Eint__neg,X13975) = ap(c_2Einteger_2Eint__neg,X13976)
| ~ mem(X13976,ty_2Einteger_2Eint)
| ~ mem(X13975,ty_2Einteger_2Eint) ) ),
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_2Einteger_2EINT__EQ__NEG])])])])]) ).
cnf(c_0_48,negated_conjecture,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_49,plain,
( X1 = esk4_0
| p(X1)
| ~ mem(X1,bool) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_50,negated_conjecture,
( X1 = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0)
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46])]) ).
cnf(c_0_51,negated_conjecture,
( p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)))
| p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_52,plain,
( X1 = X2
| ap(c_2Einteger_2Eint__neg,X1) != ap(c_2Einteger_2Eint__neg,X2)
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,negated_conjecture,
mem(esk3_0,ty_2Einteger_2Eint),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_54,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_55,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)) = esk4_0
| ~ p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0))
| ~ mem(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)),bool) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)) = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0)
| p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0))
| ~ mem(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)),bool) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
( X1 = esk3_0
| ap(c_2Einteger_2Eint__neg,X1) != ap(c_2Einteger_2Eint__neg,esk3_0)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,plain,
( mem(ap(c_2Einteger_2Eint__neg,X1),ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_33,c_0_54]) ).
fof(c_0_59,plain,
! [X13953] :
( ~ mem(X13953,ty_2Einteger_2Eint)
| ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__neg,X13953)) = X13953 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__NEGNEG])])]) ).
cnf(c_0_60,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)) = esk4_0
| ~ p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0))
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_44]),c_0_46])]) ).
cnf(c_0_61,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)) = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0)
| p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0))
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_44]),c_0_46])]) ).
cnf(c_0_62,negated_conjecture,
( ap(c_2Einteger_2Eint__neg,X1) = esk3_0
| ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__neg,X1)) != ap(c_2Einteger_2Eint__neg,esk3_0)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,plain,
( ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__neg,X1)) = X1
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_64,plain,
mem(c_2Einteger_2Eint__sub,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),
inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__sub]) ).
cnf(c_0_65,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)) = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0)
| ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)) = esk4_0
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
fof(c_0_66,plain,
! [X13612,X13613] :
( ( ~ p(ap(ap(c_2Einteger_2Eint__divides,X13612),ap(c_2Einteger_2Eint__neg,X13613)))
| p(ap(ap(c_2Einteger_2Eint__divides,X13612),X13613))
| ~ mem(X13613,ty_2Einteger_2Eint)
| ~ mem(X13612,ty_2Einteger_2Eint) )
& ( ~ p(ap(ap(c_2Einteger_2Eint__divides,X13612),X13613))
| p(ap(ap(c_2Einteger_2Eint__divides,X13612),ap(c_2Einteger_2Eint__neg,X13613)))
| ~ mem(X13613,ty_2Einteger_2Eint)
| ~ mem(X13612,ty_2Einteger_2Eint) )
& ( ~ p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,X13612)),X13613))
| p(ap(ap(c_2Einteger_2Eint__divides,X13612),X13613))
| ~ mem(X13613,ty_2Einteger_2Eint)
| ~ mem(X13612,ty_2Einteger_2Eint) )
& ( ~ p(ap(ap(c_2Einteger_2Eint__divides,X13612),X13613))
| p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,X13612)),X13613))
| ~ mem(X13613,ty_2Einteger_2Eint)
| ~ mem(X13612,ty_2Einteger_2Eint) ) ),
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_2Einteger_2EINT__DIVIDES__NEG])])])])]) ).
fof(c_0_67,plain,
! [X13591] :
( ~ mem(X13591,ty_2Einteger_2Eint)
| p(ap(ap(c_2Einteger_2Eint__divides,X13591),X13591)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__DIVIDES__REFL])])]) ).
fof(c_0_68,plain,
! [X13946] :
( ~ mem(X13946,ty_2Einteger_2Eint)
| ap(ap(c_2Einteger_2Eint__add,X13946),ap(c_2Einteger_2Eint__neg,X13946)) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__ADD__RINV])])]) ).
cnf(c_0_69,negated_conjecture,
( ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__neg,esk3_0)) = esk3_0
| ~ mem(ap(c_2Einteger_2Eint__neg,esk3_0),ty_2Einteger_2Eint) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63])]) ).
cnf(c_0_70,plain,
( mem(ap(c_2Einteger_2Eint__sub,X1),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_33,c_0_64]) ).
fof(c_0_71,plain,
! [X13623] :
( ~ mem(X13623,ty_2Einteger_2Eint)
| ap(ap(c_2Einteger_2Eint__sub,X13623),X13623) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__SUB__REFL])])]) ).
cnf(c_0_72,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)) = esk4_0
| ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0) != esk4_0
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint) ),
inference(ef,[status(thm)],[c_0_65]) ).
cnf(c_0_73,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,X1),X2))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),ap(c_2Einteger_2Eint__neg,X2)))
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_74,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,X1),X1))
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
fof(c_0_75,plain,
! [X13632,X13633] :
( ~ mem(X13632,ty_2Einteger_2Eint)
| ~ mem(X13633,ty_2Einteger_2Eint)
| ap(ap(c_2Einteger_2Eint__sub,ap(ap(c_2Einteger_2Eint__add,X13632),X13633)),X13632) = X13633 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__ADD__SUB])])])]) ).
cnf(c_0_76,plain,
( ap(ap(c_2Einteger_2Eint__add,X1),ap(c_2Einteger_2Eint__neg,X1)) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_77,negated_conjecture,
ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__neg,esk3_0)) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_58]),c_0_53])]) ).
cnf(c_0_78,plain,
( mem(ap(ap(c_2Einteger_2Eint__sub,X1),X2),ty_2Einteger_2Eint)
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_33,c_0_70]) ).
cnf(c_0_79,plain,
( ap(ap(c_2Einteger_2Eint__sub,X1),X1) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
fof(c_0_80,plain,
! [X13713,X13714] :
( ( mem(esk119_2(X13713,X13714),X13713)
| ~ mem(X13714,X13713)
| ~ ne(X13713) )
& ( esk119_2(X13713,X13714) = X13714
| ~ mem(X13714,X13713)
| ~ ne(X13713) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ebool_2EEXISTS__REFL])])])])])]) ).
cnf(c_0_81,negated_conjecture,
( X1 = esk1_0
| ap(c_2Einteger_2Eint__neg,X1) != ap(c_2Einteger_2Eint__neg,esk1_0)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_52,c_0_46]) ).
cnf(c_0_82,negated_conjecture,
( p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0))
| ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0) != esk4_0
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_72]),c_0_42]) ).
cnf(c_0_83,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,X1)),X1))
| ~ mem(ap(c_2Einteger_2Eint__neg,X1),ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_84,plain,
! [X13640,X13641] :
( ~ mem(X13640,ty_2Einteger_2Eint)
| ~ mem(X13641,ty_2Einteger_2Eint)
| ap(ap(c_2Einteger_2Eint__sub,ap(ap(c_2Einteger_2Eint__sub,X13640),X13641)),X13640) = ap(c_2Einteger_2Eint__neg,X13641) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__SUB__SUB])])])]) ).
cnf(c_0_85,plain,
( ap(ap(c_2Einteger_2Eint__sub,ap(ap(c_2Einteger_2Eint__add,X1),X2)),X1) = X2
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(X2,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_86,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__add,ap(c_2Einteger_2Eint__neg,esk3_0)),esk3_0) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)
| ~ mem(ap(c_2Einteger_2Eint__neg,esk3_0),ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_87,plain,
( mem(ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0),ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_88,negated_conjecture,
( X1 = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0)
| X1 = esk4_0
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_89,plain,
( mem(esk119_2(X1,X2),X1)
| ~ mem(X2,X1)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_90,plain,
ne(bool),
inference(split_conjunct,[status(thm)],[bool_ne]) ).
cnf(c_0_91,negated_conjecture,
( ap(c_2Einteger_2Eint__neg,X1) = esk1_0
| ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__neg,X1)) != ap(c_2Einteger_2Eint__neg,esk1_0)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_81,c_0_58]) ).
cnf(c_0_92,negated_conjecture,
( X1 = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0)
| ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0) != esk4_0
| ~ p(X1)
| ~ mem(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0),bool)
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint)
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_37,c_0_82]) ).
cnf(c_0_93,negated_conjecture,
( p(ap(ap(c_2Einteger_2Eint__divides,esk3_0),ap(c_2Einteger_2Eint__neg,esk3_0)))
| ~ mem(ap(c_2Einteger_2Eint__neg,esk3_0),ty_2Einteger_2Eint) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_77]),c_0_53])]) ).
fof(c_0_94,plain,
! [X13680,X13681] :
( ~ mem(X13680,ty_2Einteger_2Eint)
| ~ mem(X13681,ty_2Einteger_2Eint)
| ap(ap(c_2Einteger_2Eint__sub,X13680),ap(ap(c_2Einteger_2Eint__sub,X13680),X13681)) = X13681 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__SUB__SUB2])])])]) ).
cnf(c_0_95,plain,
( ap(ap(c_2Einteger_2Eint__sub,ap(ap(c_2Einteger_2Eint__sub,X1),X2)),X1) = ap(c_2Einteger_2Eint__neg,X2)
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(X2,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_96,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__sub,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__neg,esk3_0)) = esk3_0
| ~ mem(ap(c_2Einteger_2Eint__neg,esk3_0),ty_2Einteger_2Eint) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_53])]) ).
cnf(c_0_97,negated_conjecture,
mem(ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0),ty_2Einteger_2Eint),
inference(spm,[status(thm)],[c_0_87,c_0_53]) ).
fof(c_0_98,plain,
! [X13614,X13615,X13616] :
( ( ~ p(ap(ap(c_2Einteger_2Eint__divides,X13614),ap(ap(c_2Einteger_2Eint__sub,X13615),X13616)))
| p(ap(ap(c_2Einteger_2Eint__divides,X13614),X13616))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X13614),X13615))
| ~ mem(X13616,ty_2Einteger_2Eint)
| ~ mem(X13615,ty_2Einteger_2Eint)
| ~ mem(X13614,ty_2Einteger_2Eint) )
& ( ~ p(ap(ap(c_2Einteger_2Eint__divides,X13614),X13616))
| p(ap(ap(c_2Einteger_2Eint__divides,X13614),ap(ap(c_2Einteger_2Eint__sub,X13615),X13616)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X13614),X13615))
| ~ mem(X13616,ty_2Einteger_2Eint)
| ~ mem(X13615,ty_2Einteger_2Eint)
| ~ mem(X13614,ty_2Einteger_2Eint) ) ),
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_2Einteger_2EINT__DIVIDES__LSUB])])])])]) ).
cnf(c_0_99,negated_conjecture,
( esk119_2(bool,X1) = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0)
| esk119_2(bool,X1) = esk4_0
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).
cnf(c_0_100,negated_conjecture,
( ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__neg,esk1_0)) = esk1_0
| ~ mem(ap(c_2Einteger_2Eint__neg,esk1_0),ty_2Einteger_2Eint) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_63])]) ).
cnf(c_0_101,negated_conjecture,
( X1 = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0)
| ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0) != esk4_0
| ~ p(X1)
| ~ mem(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0),bool)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_78]),c_0_45]),c_0_53])]) ).
cnf(c_0_102,negated_conjecture,
( p(ap(ap(c_2Einteger_2Eint__divides,esk3_0),esk3_0))
| ~ mem(ap(c_2Einteger_2Eint__neg,esk3_0),ty_2Einteger_2Eint) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_93]),c_0_53])]) ).
cnf(c_0_103,plain,
( ap(ap(c_2Einteger_2Eint__sub,X1),ap(ap(c_2Einteger_2Eint__sub,X1),X2)) = X2
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(X2,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_104,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__sub,esk3_0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = esk3_0
| ~ mem(ap(c_2Einteger_2Eint__neg,esk3_0),ty_2Einteger_2Eint) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_77]),c_0_97])]) ).
cnf(c_0_105,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,X1),ap(ap(c_2Einteger_2Eint__sub,X3),X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),X2))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),X3))
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X3,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_106,plain,
( esk119_2(X1,X2) = X2
| ~ mem(X2,X1)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_107,negated_conjecture,
( esk119_2(bool,X1) = esk4_0
| mem(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0),bool)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_99]),c_0_90])]) ).
cnf(c_0_108,negated_conjecture,
ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__neg,esk1_0)) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_58]),c_0_46])]) ).
cnf(c_0_109,negated_conjecture,
( X1 = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0)
| ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0) != esk4_0
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_44]),c_0_53]),c_0_46])]) ).
cnf(c_0_110,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk3_0),esk3_0) = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0)
| ~ mem(ap(ap(c_2Einteger_2Eint__divides,esk3_0),esk3_0),bool)
| ~ mem(ap(c_2Einteger_2Eint__neg,esk3_0),ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_50,c_0_102]) ).
cnf(c_0_111,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk3_0) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)
| ~ mem(ap(c_2Einteger_2Eint__neg,esk3_0),ty_2Einteger_2Eint) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_97]),c_0_53])]) ).
cnf(c_0_112,negated_conjecture,
~ p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_105]),c_0_38]),c_0_53]),c_0_45]),c_0_46])]) ).
fof(c_0_113,plain,
! [X14106,X14107] :
( ~ mem(X14106,ty_2Einteger_2Eint)
| ~ mem(X14107,ty_2Einteger_2Eint)
| p(ap(ap(c_2Einteger_2Eint__le,X14106),X14107))
| p(ap(ap(c_2Einteger_2Eint__le,X14107),X14106)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__LE__TOTAL])])])]) ).
cnf(c_0_114,negated_conjecture,
( esk4_0 = X1
| mem(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0),bool)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_90])]) ).
cnf(c_0_115,negated_conjecture,
( p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(c_2Einteger_2Eint__neg,esk1_0)))
| ~ mem(ap(c_2Einteger_2Eint__neg,esk1_0),ty_2Einteger_2Eint) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_108]),c_0_46])]) ).
cnf(c_0_116,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk3_0),ap(c_2Einteger_2Eint__neg,esk3_0)) = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0)
| ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0) != esk4_0
| ~ mem(ap(ap(c_2Einteger_2Eint__divides,esk3_0),ap(c_2Einteger_2Eint__neg,esk3_0)),bool)
| ~ mem(ap(c_2Einteger_2Eint__neg,esk3_0),ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_109,c_0_93]) ).
cnf(c_0_117,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk3_0),esk3_0) = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0)
| ~ mem(ap(c_2Einteger_2Eint__neg,esk3_0),ty_2Einteger_2Eint) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_44]),c_0_53])]) ).
cnf(c_0_118,negated_conjecture,
ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk3_0) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_58]),c_0_53])]) ).
cnf(c_0_119,negated_conjecture,
( X1 = ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0))
| p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0))
| ~ p(X1)
| ~ mem(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)),bool)
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_37,c_0_51]) ).
cnf(c_0_120,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0) = esk4_0
| ~ mem(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0),bool) ),
inference(spm,[status(thm)],[c_0_112,c_0_49]) ).
cnf(c_0_121,plain,
( p(ap(ap(c_2Einteger_2Eint__le,X1),X2))
| p(ap(ap(c_2Einteger_2Eint__le,X2),X1))
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(X2,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_122,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,X1),X2) = esk4_0
| mem(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0),bool)
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_114,c_0_44]) ).
cnf(c_0_123,negated_conjecture,
( p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk1_0))
| ~ mem(ap(c_2Einteger_2Eint__neg,esk1_0),ty_2Einteger_2Eint) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_115]),c_0_46])]) ).
cnf(c_0_124,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,X1),ap(c_2Einteger_2Eint__neg,X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),X2))
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_125,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk3_0),ap(c_2Einteger_2Eint__neg,esk3_0)) = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0)
| ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0) != esk4_0
| ~ mem(ap(c_2Einteger_2Eint__neg,esk3_0),ty_2Einteger_2Eint) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_44]),c_0_53])]) ).
cnf(c_0_126,negated_conjecture,
ap(ap(c_2Einteger_2Eint__divides,esk3_0),esk3_0) = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_58]),c_0_53])]) ).
cnf(c_0_127,negated_conjecture,
ap(ap(c_2Einteger_2Eint__sub,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),esk3_0) = ap(c_2Einteger_2Eint__neg,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_118]),c_0_53])]) ).
cnf(c_0_128,negated_conjecture,
( X1 = ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0))
| p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0))
| ~ p(X1)
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_44]),c_0_46])]) ).
cnf(c_0_129,negated_conjecture,
ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0) = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_44]),c_0_53]),c_0_46])]) ).
cnf(c_0_130,negated_conjecture,
( p(ap(ap(c_2Einteger_2Eint__le,X1),esk2_0))
| p(ap(ap(c_2Einteger_2Eint__le,esk2_0),X1))
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_121,c_0_45]) ).
cnf(c_0_131,negated_conjecture,
( p(ap(ap(c_2Einteger_2Eint__le,X1),esk1_0))
| p(ap(ap(c_2Einteger_2Eint__le,esk1_0),X1))
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_121,c_0_46]) ).
cnf(c_0_132,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = esk4_0
| mem(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0),bool)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_122,c_0_97]) ).
cnf(c_0_133,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0) = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk1_0)
| ~ mem(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk1_0),bool)
| ~ mem(ap(c_2Einteger_2Eint__neg,esk1_0),ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_50,c_0_123]) ).
cnf(c_0_134,negated_conjecture,
( p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0))
| ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0) != esk4_0
| ~ mem(ap(c_2Einteger_2Eint__neg,esk3_0),ty_2Einteger_2Eint) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_38]),c_0_53])]) ).
cnf(c_0_135,negated_conjecture,
mem(ap(c_2Einteger_2Eint__neg,esk3_0),ty_2Einteger_2Eint),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_127]),c_0_53]),c_0_97])]) ).
cnf(c_0_136,negated_conjecture,
( X1 = ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0))
| ~ p(X1)
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint)
| ~ mem(X1,bool) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129]),c_0_42]) ).
cnf(c_0_137,negated_conjecture,
p(ap(ap(c_2Einteger_2Eint__le,esk2_0),esk2_0)),
inference(spm,[status(thm)],[c_0_130,c_0_45]) ).
cnf(c_0_138,negated_conjecture,
p(ap(ap(c_2Einteger_2Eint__le,esk1_0),esk1_0)),
inference(spm,[status(thm)],[c_0_131,c_0_46]) ).
cnf(c_0_139,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = esk4_0
| mem(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0),bool) ),
inference(spm,[status(thm)],[c_0_132,c_0_97]) ).
cnf(c_0_140,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0) = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk1_0)
| ~ mem(ap(c_2Einteger_2Eint__neg,esk1_0),ty_2Einteger_2Eint) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_44]),c_0_46])]) ).
cnf(c_0_141,negated_conjecture,
( p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0))
| ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0) != esk4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_135])]) ).
fof(c_0_142,plain,
! [X13799] :
( ~ mem(X13799,ty_2Einteger_2Eint)
| p(ap(ap(c_2Einteger_2Eint__le,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(ap(c_2Einteger_2Eint__mul,X13799),X13799))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__LE__SQUARE])])]) ).
fof(c_0_143,plain,
! [X13790] :
( ~ mem(X13790,ty_2Einteger_2Eint)
| ap(ap(c_2Einteger_2Eint__mul,X13790),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__MUL__RZERO])])]) ).
cnf(c_0_144,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)) = ap(ap(c_2Einteger_2Eint__le,esk2_0),esk2_0)
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint)
| ~ mem(ap(ap(c_2Einteger_2Eint__le,esk2_0),esk2_0),bool) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_145,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)) = ap(ap(c_2Einteger_2Eint__le,esk1_0),esk1_0)
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint)
| ~ mem(ap(ap(c_2Einteger_2Eint__le,esk1_0),esk1_0),bool) ),
inference(spm,[status(thm)],[c_0_136,c_0_138]) ).
cnf(c_0_146,plain,
mem(c_2Einteger_2Eint__le,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))),
inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__le]) ).
cnf(c_0_147,negated_conjecture,
mem(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0),bool),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_139]),c_0_97])]),c_0_42]) ).
cnf(c_0_148,negated_conjecture,
ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0) = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_58]),c_0_46])]) ).
cnf(c_0_149,negated_conjecture,
ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0) != esk4_0,
inference(spm,[status(thm)],[c_0_112,c_0_141]) ).
fof(c_0_150,plain,
! [X13630,X13631] :
( ( ~ p(ap(ap(c_2Einteger_2Eint__le,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(ap(c_2Einteger_2Eint__sub,X13630),X13631)))
| p(ap(ap(c_2Einteger_2Eint__le,X13631),X13630))
| ~ mem(X13631,ty_2Einteger_2Eint)
| ~ mem(X13630,ty_2Einteger_2Eint) )
& ( ~ p(ap(ap(c_2Einteger_2Eint__le,X13631),X13630))
| p(ap(ap(c_2Einteger_2Eint__le,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(ap(c_2Einteger_2Eint__sub,X13630),X13631)))
| ~ mem(X13631,ty_2Einteger_2Eint)
| ~ mem(X13630,ty_2Einteger_2Eint) ) ),
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_2Einteger_2EINT__SUB__LE])])])])]) ).
cnf(c_0_151,plain,
( p(ap(ap(c_2Einteger_2Eint__le,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(ap(c_2Einteger_2Eint__mul,X1),X1)))
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_152,plain,
( ap(ap(c_2Einteger_2Eint__mul,X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_153,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__le,esk2_0),esk2_0) = ap(ap(c_2Einteger_2Eint__le,esk1_0),esk1_0)
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint)
| ~ mem(ap(ap(c_2Einteger_2Eint__le,esk2_0),esk2_0),bool)
| ~ mem(ap(ap(c_2Einteger_2Eint__le,esk1_0),esk1_0),bool) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_154,plain,
( mem(ap(c_2Einteger_2Eint__le,X1),arr(ty_2Einteger_2Eint,bool))
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_33,c_0_146]) ).
cnf(c_0_155,plain,
( X1 = esk4_0
| X2 = X1
| ~ p(X2)
| ~ mem(X1,bool)
| ~ mem(X2,bool) ),
inference(spm,[status(thm)],[c_0_37,c_0_49]) ).
cnf(c_0_156,negated_conjecture,
mem(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk1_0),bool),
inference(rw,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_157,negated_conjecture,
ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk1_0) != esk4_0,
inference(rw,[status(thm)],[c_0_149,c_0_148]) ).
cnf(c_0_158,plain,
( p(ap(ap(c_2Einteger_2Eint__le,X2),X1))
| ~ p(ap(ap(c_2Einteger_2Eint__le,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(ap(c_2Einteger_2Eint__sub,X1),X2)))
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_159,plain,
p(ap(ap(c_2Einteger_2Eint__le,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(spm,[status(thm)],[c_0_151,c_0_152]),c_0_97])]) ).
cnf(c_0_160,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__le,esk2_0),esk2_0) = ap(ap(c_2Einteger_2Eint__le,esk1_0),esk1_0)
| ~ mem(ap(ap(c_2Einteger_2Eint__le,esk2_0),esk2_0),bool)
| ~ mem(ap(ap(c_2Einteger_2Eint__le,esk1_0),esk1_0),bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_78]),c_0_45]),c_0_53])]) ).
cnf(c_0_161,plain,
( mem(ap(ap(c_2Einteger_2Eint__le,X1),X2),bool)
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_33,c_0_154]) ).
cnf(c_0_162,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)) = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0)
| ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0) = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0)
| ~ mem(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0),bool)
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_50,c_0_61]) ).
cnf(c_0_163,negated_conjecture,
( X1 = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk1_0)
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).
cnf(c_0_164,negated_conjecture,
p(ap(ap(c_2Einteger_2Eint__le,esk3_0),esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_118]),c_0_159]),c_0_53])]) ).
cnf(c_0_165,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__le,esk2_0),esk2_0) = ap(ap(c_2Einteger_2Eint__le,esk1_0),esk1_0)
| ~ mem(ap(ap(c_2Einteger_2Eint__le,esk1_0),esk1_0),bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_45])]) ).
cnf(c_0_166,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)) = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0)
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_129]),c_0_129]),c_0_41])]),c_0_149]) ).
cnf(c_0_167,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk1_0) = ap(ap(c_2Einteger_2Eint__le,esk3_0),esk3_0)
| ~ mem(ap(ap(c_2Einteger_2Eint__le,esk3_0),esk3_0),bool) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_168,negated_conjecture,
ap(ap(c_2Einteger_2Eint__le,esk2_0),esk2_0) = ap(ap(c_2Einteger_2Eint__le,esk1_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_161]),c_0_46])]) ).
fof(c_0_169,plain,
! [X14297] :
( ( ~ p(ap(ap(c_2Earithmetic_2E_3C_3D,X14297),c_2Enum_2E0))
| X14297 = c_2Enum_2E0
| ~ mem(X14297,ty_2Enum_2Enum) )
& ( X14297 != c_2Enum_2E0
| p(ap(ap(c_2Earithmetic_2E_3C_3D,X14297),c_2Enum_2E0))
| ~ mem(X14297,ty_2Enum_2Enum) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Earithmetic_2ELESS__EQ__0])])])]) ).
cnf(c_0_170,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)) = ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk1_0)
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint) ),
inference(rw,[status(thm)],[c_0_166,c_0_148]) ).
cnf(c_0_171,negated_conjecture,
ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk1_0) = ap(ap(c_2Einteger_2Eint__le,esk3_0),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_161]),c_0_53])]) ).
cnf(c_0_172,negated_conjecture,
mem(ap(ap(c_2Einteger_2Eint__le,esk1_0),esk1_0),bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_168]),c_0_45])]) ).
cnf(c_0_173,plain,
( p(ap(ap(c_2Earithmetic_2E_3C_3D,X1),c_2Enum_2E0))
| X1 != c_2Enum_2E0
| ~ mem(X1,ty_2Enum_2Enum) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_174,plain,
mem(c_2Enum_2E0,ty_2Enum_2Enum),
inference(split_conjunct,[status(thm)],[mem_c_2Enum_2E0]) ).
cnf(c_0_175,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)) = ap(ap(c_2Einteger_2Eint__le,esk3_0),esk3_0)
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint) ),
inference(rw,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_176,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)) = ap(ap(c_2Einteger_2Eint__le,esk1_0),esk1_0)
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_172])]) ).
fof(c_0_177,plain,
! [X13626,X13627] :
( ~ mem(X13626,ty_2Einteger_2Eint)
| ~ mem(X13627,ty_2Einteger_2Eint)
| ap(c_2Einteger_2Eint__neg,ap(ap(c_2Einteger_2Eint__sub,X13626),X13627)) = ap(ap(c_2Einteger_2Eint__sub,X13627),X13626) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__NEG__SUB])])])]) ).
cnf(c_0_178,plain,
p(ap(ap(c_2Earithmetic_2E_3C_3D,c_2Enum_2E0),c_2Enum_2E0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_173]),c_0_174])]) ).
cnf(c_0_179,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__le,esk3_0),esk3_0) = ap(ap(c_2Einteger_2Eint__le,esk1_0),esk1_0)
| ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_180,plain,
mem(c_2Earithmetic_2E_3C_3D,arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,bool))),
inference(split_conjunct,[status(thm)],[mem_c_2Earithmetic_2E_3C_3D]) ).
cnf(c_0_181,plain,
( ap(c_2Einteger_2Eint__neg,ap(ap(c_2Einteger_2Eint__sub,X1),X2)) = ap(ap(c_2Einteger_2Eint__sub,X2),X1)
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(X2,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_182,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk1_0) = ap(ap(c_2Earithmetic_2E_3C_3D,c_2Enum_2E0),c_2Enum_2E0)
| ~ mem(ap(ap(c_2Earithmetic_2E_3C_3D,c_2Enum_2E0),c_2Enum_2E0),bool) ),
inference(spm,[status(thm)],[c_0_163,c_0_178]) ).
cnf(c_0_183,negated_conjecture,
ap(ap(c_2Einteger_2Eint__le,esk3_0),esk3_0) = ap(ap(c_2Einteger_2Eint__le,esk1_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_78]),c_0_45]),c_0_53])]) ).
cnf(c_0_184,plain,
( mem(ap(c_2Earithmetic_2E_3C_3D,X1),arr(ty_2Enum_2Enum,bool))
| ~ mem(X1,ty_2Enum_2Enum) ),
inference(spm,[status(thm)],[c_0_33,c_0_180]) ).
cnf(c_0_185,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,X1),ap(ap(c_2Einteger_2Eint__sub,X2),X3)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),ap(ap(c_2Einteger_2Eint__sub,X3),X2)))
| ~ mem(X1,ty_2Einteger_2Eint)
| ~ mem(X3,ty_2Einteger_2Eint)
| ~ mem(X2,ty_2Einteger_2Eint) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_181]),c_0_78]) ).
cnf(c_0_186,negated_conjecture,
p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0))),
inference(sr,[status(thm)],[c_0_51,c_0_112]) ).
cnf(c_0_187,negated_conjecture,
( ap(ap(c_2Einteger_2Eint__le,esk1_0),esk1_0) = ap(ap(c_2Earithmetic_2E_3C_3D,c_2Enum_2E0),c_2Enum_2E0)
| ~ mem(ap(ap(c_2Earithmetic_2E_3C_3D,c_2Enum_2E0),c_2Enum_2E0),bool) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_171]),c_0_183]) ).
cnf(c_0_188,plain,
( mem(ap(ap(c_2Earithmetic_2E_3C_3D,X1),X2),bool)
| ~ mem(X2,ty_2Enum_2Enum)
| ~ mem(X1,ty_2Enum_2Enum) ),
inference(spm,[status(thm)],[c_0_33,c_0_184]) ).
cnf(c_0_189,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,X1),X3))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),ap(ap(c_2Einteger_2Eint__sub,X2),X3)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),X2))
| ~ mem(X3,ty_2Einteger_2Eint)
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_190,negated_conjecture,
p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk2_0),esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_46]),c_0_53]),c_0_45])]) ).
cnf(c_0_191,negated_conjecture,
ap(ap(c_2Einteger_2Eint__le,esk1_0),esk1_0) = ap(ap(c_2Earithmetic_2E_3C_3D,c_2Enum_2E0),c_2Enum_2E0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_174])]) ).
cnf(c_0_192,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_129]),c_0_148]),c_0_171]),c_0_183]),c_0_191]),c_0_178]),c_0_53]),c_0_45]),c_0_46])]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP012+5 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n008.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 : Fri May 3 12:43:13 EDT 2024
% 0.14/0.35 % CPUTime :
% 1.82/2.06 Running first-order model finding
% 1.82/2.06 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Rxd5Pficse/E---3.1_32270.p
% 106.89/16.43 # Version: 3.1.0
% 106.89/16.43 # Preprocessing class: FMLLSMLLSSSNFFN.
% 106.89/16.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 106.89/16.43 # Starting new_bool_3 with 900s (3) cores
% 106.89/16.43 # Starting new_bool_1 with 900s (3) cores
% 106.89/16.43 # Starting sh5l with 300s (1) cores
% 106.89/16.43 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 106.89/16.43 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 32351 completed with status 0
% 106.89/16.43 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 106.89/16.43 # Preprocessing class: FMLLSMLLSSSNFFN.
% 106.89/16.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 106.89/16.43 # Starting new_bool_3 with 900s (3) cores
% 106.89/16.43 # Starting new_bool_1 with 900s (3) cores
% 106.89/16.43 # Starting sh5l with 300s (1) cores
% 106.89/16.43 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 106.89/16.43 # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 106.89/16.43 # Search class: FGHSF-SMLM33-DFFFFFNN
% 106.89/16.43 # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 106.89/16.43 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 106.89/16.43 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 106.89/16.43 # SAT001_MinMin_p005000_rr with pid 32352 completed with status 0
% 106.89/16.43 # Result found by SAT001_MinMin_p005000_rr
% 106.89/16.43 # Preprocessing class: FMLLSMLLSSSNFFN.
% 106.89/16.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 106.89/16.43 # Starting new_bool_3 with 900s (3) cores
% 106.89/16.43 # Starting new_bool_1 with 900s (3) cores
% 106.89/16.43 # Starting sh5l with 300s (1) cores
% 106.89/16.43 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 106.89/16.43 # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 106.89/16.43 # Search class: FGHSF-SMLM33-DFFFFFNN
% 106.89/16.43 # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 106.89/16.43 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 106.89/16.43 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 106.89/16.43 # Preprocessing time : 0.091 s
% 106.89/16.43 # Presaturation interreduction done
% 106.89/16.43
% 106.89/16.43 # Proof found!
% 106.89/16.43 # SZS status Theorem
% 106.89/16.43 # SZS output start CNFRefutation
% See solution above
% 106.89/16.43 # Parsed axioms : 10257
% 106.89/16.43 # Removed by relevancy pruning/SinE : 9756
% 106.89/16.43 # Initial clauses : 2814
% 106.89/16.43 # Removed in clause preprocessing : 1112
% 106.89/16.43 # Initial clauses in saturation : 1702
% 106.89/16.43 # Processed clauses : 21710
% 106.89/16.43 # ...of these trivial : 257
% 106.89/16.43 # ...subsumed : 13631
% 106.89/16.43 # ...remaining for further processing : 7822
% 106.89/16.43 # Other redundant clauses eliminated : 574
% 106.89/16.43 # Clauses deleted for lack of memory : 0
% 106.89/16.43 # Backward-subsumed : 1215
% 106.89/16.43 # Backward-rewritten : 474
% 106.89/16.43 # Generated clauses : 401751
% 106.89/16.43 # ...of the previous two non-redundant : 394565
% 106.89/16.43 # ...aggressively subsumed : 0
% 106.89/16.43 # Contextual simplify-reflections : 271
% 106.89/16.43 # Paramodulations : 401069
% 106.89/16.43 # Factorizations : 45
% 106.89/16.43 # NegExts : 0
% 106.89/16.43 # Equation resolutions : 629
% 106.89/16.43 # Disequality decompositions : 0
% 106.89/16.43 # Total rewrite steps : 108980
% 106.89/16.43 # ...of those cached : 108826
% 106.89/16.43 # Propositional unsat checks : 1
% 106.89/16.43 # Propositional check models : 0
% 106.89/16.43 # Propositional check unsatisfiable : 0
% 106.89/16.43 # Propositional clauses : 0
% 106.89/16.43 # Propositional clauses after purity: 0
% 106.89/16.43 # Propositional unsat core size : 0
% 106.89/16.43 # Propositional preprocessing time : 0.000
% 106.89/16.43 # Propositional encoding time : 0.344
% 106.89/16.43 # Propositional solver time : 0.075
% 106.89/16.43 # Success case prop preproc time : 0.000
% 106.89/16.43 # Success case prop encoding time : 0.000
% 106.89/16.43 # Success case prop solver time : 0.000
% 106.89/16.43 # Current number of processed clauses : 4469
% 106.89/16.43 # Positive orientable unit clauses : 157
% 106.89/16.43 # Positive unorientable unit clauses: 0
% 106.89/16.43 # Negative unit clauses : 42
% 106.89/16.43 # Non-unit-clauses : 4270
% 106.89/16.43 # Current number of unprocessed clauses: 373343
% 106.89/16.43 # ...number of literals in the above : 3087960
% 106.89/16.43 # Current number of archived formulas : 0
% 106.89/16.43 # Current number of archived clauses : 3282
% 106.89/16.43 # Clause-clause subsumption calls (NU) : 4351230
% 106.89/16.43 # Rec. Clause-clause subsumption calls : 226463
% 106.89/16.43 # Non-unit clause-clause subsumptions : 10519
% 106.89/16.43 # Unit Clause-clause subsumption calls : 32078
% 106.89/16.43 # Rewrite failures with RHS unbound : 0
% 106.89/16.43 # BW rewrite match attempts : 4685
% 106.89/16.43 # BW rewrite match successes : 67
% 106.89/16.43 # Condensation attempts : 0
% 106.89/16.43 # Condensation successes : 0
% 106.89/16.43 # Termbank termtop insertions : 20288363
% 106.89/16.43 # Search garbage collected termcells : 285401
% 106.89/16.43
% 106.89/16.43 # -------------------------------------------------
% 106.89/16.43 # User time : 12.807 s
% 106.89/16.43 # System time : 0.410 s
% 106.89/16.43 # Total time : 13.217 s
% 106.89/16.43 # Maximum resident set size: 49432 pages
% 106.89/16.43
% 106.89/16.43 # -------------------------------------------------
% 106.89/16.43 # User time : 13.766 s
% 106.89/16.43 # System time : 0.439 s
% 106.89/16.43 # Total time : 14.206 s
% 106.89/16.43 # Maximum resident set size: 39820 pages
% 106.89/16.43 % E---3.1 exiting
%------------------------------------------------------------------------------