TSTP Solution File: ITP012_4 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP012_4 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 103.84s 20.04s
% Output : CNFRefutation 103.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 24
% Syntax : Number of formulae : 73 ( 24 unt; 12 typ; 0 def)
% Number of atoms : 184 ( 74 equ)
% Maximal formula atoms : 29 ( 3 avg)
% Number of connectives : 179 ( 56 ~; 50 |; 40 &)
% ( 18 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 59 ( 0 sgn 59 !; 0 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
tff(decl_sort2,type,
mono_2Etyop_2Einteger_2Eint: $tType ).
tff(decl_26,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(decl_52,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(decl_53,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(decl_5298,type,
mono_2Ec_2Einteger_2Eint__divides_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Ebool ).
tff(decl_5306,type,
mono_2Ec_2Einteger_2Eint__lt_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Ebool ).
tff(decl_5312,type,
mono_2Ec_2Einteger_2Eint__neg_2E1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
tff(decl_5320,type,
mono_2Ec_2Einteger_2Eint__sub_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint ).
tff(decl_5374,type,
esk1_0: mono_2Etyop_2Einteger_2Eint ).
tff(decl_5375,type,
esk2_0: mono_2Etyop_2Einteger_2Eint ).
tff(decl_5376,type,
esk3_0: mono_2Etyop_2Einteger_2Eint ).
tff(thm_2Ebool_2EEQ__CLAUSES,axiom,
! [X8: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2ET_2E0 = X8 )
<=> p(X8) )
& ( ( X8 = mono_2Ec_2Ebool_2ET_2E0 )
<=> p(X8) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = X8 )
<=> ~ p(X8) )
& ( ( X8 = mono_2Ec_2Ebool_2EF_2E0 )
<=> ~ p(X8) ) ),
file('/export/starexec/sandbox2/tmp/tmp.47rKPyLzry/E---3.1_5354.p',thm_2Ebool_2EEQ__CLAUSES) ).
tff(thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
! [X34494: mono_2Etyop_2Einteger_2Eint,X34495: mono_2Etyop_2Einteger_2Eint,X34496: mono_2Etyop_2Einteger_2Eint] :
( p(mono_2Ec_2Einteger_2Eint__divides_2E2(X34494,X34495))
=> ( mono_2Ec_2Einteger_2Eint__divides_2E2(X34494,mono_2Ec_2Einteger_2Eint__sub_2E2(X34496,X34495)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X34494,X34496) ) ),
file('/export/starexec/sandbox2/tmp/tmp.47rKPyLzry/E---3.1_5354.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
tff(reserved_2Eho_2Eboolext,axiom,
! [X6: mono_2Etyop_2Emin_2Ebool,X7: mono_2Etyop_2Emin_2Ebool] :
( ( p(X6)
<=> p(X7) )
=> ( X6 = X7 ) ),
file('/export/starexec/sandbox2/tmp/tmp.47rKPyLzry/E---3.1_5354.p',reserved_2Eho_2Eboolext) ).
tff(reserved_2Eho_2Ebool__cases__ax,axiom,
! [X8: mono_2Etyop_2Emin_2Ebool] :
( ( X8 = mono_2Ec_2Ebool_2ET_2E0 )
| ( X8 = mono_2Ec_2Ebool_2EF_2E0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.47rKPyLzry/E---3.1_5354.p',reserved_2Eho_2Ebool__cases__ax) ).
tff(reserved_2Eho_2Enotfalse,axiom,
~ p(mono_2Ec_2Ebool_2EF_2E0),
file('/export/starexec/sandbox2/tmp/tmp.47rKPyLzry/E---3.1_5354.p',reserved_2Eho_2Enotfalse) ).
tff(thm_2Einteger_2EINT__LT__REFL,axiom,
! [X34099: mono_2Etyop_2Einteger_2Eint] : ~ p(mono_2Ec_2Einteger_2Eint__lt_2E2(X34099,X34099)),
file('/export/starexec/sandbox2/tmp/tmp.47rKPyLzry/E---3.1_5354.p',thm_2Einteger_2EINT__LT__REFL) ).
tff(thm_2Ebool_2ENOT__F,axiom,
! [X8: mono_2Etyop_2Emin_2Ebool] :
( ~ p(X8)
=> ( X8 = mono_2Ec_2Ebool_2EF_2E0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.47rKPyLzry/E---3.1_5354.p',thm_2Ebool_2ENOT__F) ).
tff(thm_2Einteger_2EINT__DIVIDES__LSUB,axiom,
! [X34491: mono_2Etyop_2Einteger_2Eint,X34492: mono_2Etyop_2Einteger_2Eint,X34493: mono_2Etyop_2Einteger_2Eint] :
( p(mono_2Ec_2Einteger_2Eint__divides_2E2(X34491,X34492))
=> ( mono_2Ec_2Einteger_2Eint__divides_2E2(X34491,mono_2Ec_2Einteger_2Eint__sub_2E2(X34492,X34493)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X34491,X34493) ) ),
file('/export/starexec/sandbox2/tmp/tmp.47rKPyLzry/E---3.1_5354.p',thm_2Einteger_2EINT__DIVIDES__LSUB) ).
tff(thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
! [X34489: mono_2Etyop_2Einteger_2Eint,X34490: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(X34489,mono_2Ec_2Einteger_2Eint__neg_2E1(X34490)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X34489,X34490) )
& ( mono_2Ec_2Einteger_2Eint__divides_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(X34489),X34490) = mono_2Ec_2Einteger_2Eint__divides_2E2(X34489,X34490) ) ),
file('/export/starexec/sandbox2/tmp/tmp.47rKPyLzry/E---3.1_5354.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).
tff(thm_2Einteger_2EINT__NEG__SUB,axiom,
! [X33966: mono_2Etyop_2Einteger_2Eint,X33967: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__sub_2E2(X33966,X33967)) = mono_2Ec_2Einteger_2Eint__sub_2E2(X33967,X33966) ),
file('/export/starexec/sandbox2/tmp/tmp.47rKPyLzry/E---3.1_5354.p',thm_2Einteger_2EINT__NEG__SUB) ).
tff(thm_2Ebool_2EBOOL__EQ__DISTINCT,axiom,
( ( mono_2Ec_2Ebool_2ET_2E0 != mono_2Ec_2Ebool_2EF_2E0 )
& ( mono_2Ec_2Ebool_2EF_2E0 != mono_2Ec_2Ebool_2ET_2E0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.47rKPyLzry/E---3.1_5354.p',thm_2Ebool_2EBOOL__EQ__DISTINCT) ).
tff(thm_2Ebool_2EIMP__CLAUSES,axiom,
! [X8: mono_2Etyop_2Emin_2Ebool] :
( ( ( p(mono_2Ec_2Ebool_2ET_2E0)
=> p(X8) )
<=> p(X8) )
& ( ( p(X8)
=> p(mono_2Ec_2Ebool_2ET_2E0) )
<=> p(mono_2Ec_2Ebool_2ET_2E0) )
& ( ( p(mono_2Ec_2Ebool_2EF_2E0)
=> p(X8) )
<=> p(mono_2Ec_2Ebool_2ET_2E0) )
& ( ( p(X8)
=> p(X8) )
<=> p(mono_2Ec_2Ebool_2ET_2E0) )
& ( ( p(X8)
=> p(mono_2Ec_2Ebool_2EF_2E0) )
<=> ~ p(X8) ) ),
file('/export/starexec/sandbox2/tmp/tmp.47rKPyLzry/E---3.1_5354.p',thm_2Ebool_2EIMP__CLAUSES) ).
tff(c_0_12,plain,
! [X8: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2ET_2E0 = X8 )
<=> p(X8) )
& ( ( X8 = mono_2Ec_2Ebool_2ET_2E0 )
<=> p(X8) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = X8 )
<=> ~ p(X8) )
& ( ( X8 = mono_2Ec_2Ebool_2EF_2E0 )
<=> ~ p(X8) ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
tff(c_0_13,negated_conjecture,
~ ! [X34494: mono_2Etyop_2Einteger_2Eint,X34495: mono_2Etyop_2Einteger_2Eint,X34496: mono_2Etyop_2Einteger_2Eint] :
( p(mono_2Ec_2Einteger_2Eint__divides_2E2(X34494,X34495))
=> ( mono_2Ec_2Einteger_2Eint__divides_2E2(X34494,mono_2Ec_2Einteger_2Eint__sub_2E2(X34496,X34495)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X34494,X34496) ) ),
inference(assume_negation,[status(cth)],[thm_2Einteger_2EINT__DIVIDES__RSUB]) ).
tff(c_0_14,plain,
! [X37364: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2ET_2E0 != X37364 )
| p(X37364) )
& ( ~ p(X37364)
| ( mono_2Ec_2Ebool_2ET_2E0 = X37364 ) )
& ( ( X37364 != mono_2Ec_2Ebool_2ET_2E0 )
| p(X37364) )
& ( ~ p(X37364)
| ( X37364 = mono_2Ec_2Ebool_2ET_2E0 ) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 != X37364 )
| ~ p(X37364) )
& ( p(X37364)
| ( mono_2Ec_2Ebool_2EF_2E0 = X37364 ) )
& ( ( X37364 != mono_2Ec_2Ebool_2EF_2E0 )
| ~ p(X37364) )
& ( p(X37364)
| ( X37364 = mono_2Ec_2Ebool_2EF_2E0 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
tff(c_0_15,plain,
! [X34612: mono_2Etyop_2Emin_2Ebool,X34613: mono_2Etyop_2Emin_2Ebool] :
( ( ~ p(X34612)
| ~ p(X34613)
| ( X34612 = X34613 ) )
& ( p(X34612)
| p(X34613)
| ( X34612 = X34613 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reserved_2Eho_2Eboolext])])])]) ).
tff(c_0_16,negated_conjecture,
( p(mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk2_0))
& ( mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,mono_2Ec_2Einteger_2Eint__sub_2E2(esk3_0,esk2_0)) != mono_2Ec_2Einteger_2Eint__divides_2E2(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_13])])])]) ).
tff(c_0_17,plain,
! [X37351: mono_2Etyop_2Emin_2Ebool] :
( ( X37351 = mono_2Ec_2Ebool_2ET_2E0 )
| ( X37351 = mono_2Ec_2Ebool_2EF_2E0 ) ),
inference(variable_rename,[status(thm)],[reserved_2Eho_2Ebool__cases__ax]) ).
tff(c_0_18,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(fof_simplification,[status(thm)],[reserved_2Eho_2Enotfalse]) ).
tcf(c_0_19,plain,
! [X6: mono_2Etyop_2Emin_2Ebool] :
( ( X6 = mono_2Ec_2Ebool_2ET_2E0 )
| ~ p(X6) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
tcf(c_0_20,plain,
! [X6: mono_2Etyop_2Emin_2Ebool,X7: mono_2Etyop_2Emin_2Ebool] :
( p(X6)
| p(X7)
| ( X6 = X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
tcf(c_0_21,negated_conjecture,
mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,mono_2Ec_2Einteger_2Eint__sub_2E2(esk3_0,esk2_0)) != mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
tcf(c_0_22,plain,
! [X6: mono_2Etyop_2Emin_2Ebool] :
( ( X6 = mono_2Ec_2Ebool_2ET_2E0 )
| ( X6 = mono_2Ec_2Ebool_2EF_2E0 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
tff(c_0_23,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(fof_nnf,[status(thm)],[c_0_18]) ).
tff(c_0_24,plain,
! [X34099: mono_2Etyop_2Einteger_2Eint] : ~ p(mono_2Ec_2Einteger_2Eint__lt_2E2(X34099,X34099)),
inference(fof_simplification,[status(thm)],[thm_2Einteger_2EINT__LT__REFL]) ).
tff(c_0_25,plain,
! [X8: mono_2Etyop_2Emin_2Ebool] :
( ~ p(X8)
=> ( X8 = mono_2Ec_2Ebool_2EF_2E0 ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2ENOT__F]) ).
tcf(c_0_26,plain,
! [X6: mono_2Etyop_2Emin_2Ebool,X7: mono_2Etyop_2Emin_2Ebool] :
( ( X6 = mono_2Ec_2Ebool_2ET_2E0 )
| ( X6 = X7 )
| p(X7) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
tff(c_0_27,plain,
! [X34534: mono_2Etyop_2Einteger_2Eint,X34535: mono_2Etyop_2Einteger_2Eint,X34536: mono_2Etyop_2Einteger_2Eint] :
( ~ p(mono_2Ec_2Einteger_2Eint__divides_2E2(X34534,X34535))
| ( mono_2Ec_2Einteger_2Eint__divides_2E2(X34534,mono_2Ec_2Einteger_2Eint__sub_2E2(X34535,X34536)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X34534,X34536) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__LSUB])])]) ).
tcf(c_0_28,negated_conjecture,
p(mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
tcf(c_0_29,negated_conjecture,
( p(mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,mono_2Ec_2Einteger_2Eint__sub_2E2(esk3_0,esk2_0)))
| p(mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk3_0)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_20])]) ).
tcf(c_0_30,negated_conjecture,
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,mono_2Ec_2Einteger_2Eint__sub_2E2(esk3_0,esk2_0)) = mono_2Ec_2Ebool_2EF_2E0 )
| ( mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk3_0) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
tcf(c_0_31,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
tff(c_0_32,plain,
! [X36051: mono_2Etyop_2Einteger_2Eint] : ~ p(mono_2Ec_2Einteger_2Eint__lt_2E2(X36051,X36051)),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_24])]) ).
tff(c_0_33,plain,
! [X37360: mono_2Etyop_2Emin_2Ebool] :
( p(X37360)
| ( X37360 = mono_2Ec_2Ebool_2EF_2E0 ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).
tcf(c_0_34,negated_conjecture,
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk3_0) = mono_2Ec_2Ebool_2ET_2E0 )
| p(mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,mono_2Ec_2Einteger_2Eint__sub_2E2(esk3_0,esk2_0))) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_26])]) ).
tcf(c_0_35,plain,
! [X33706: mono_2Etyop_2Einteger_2Eint,X33733: mono_2Etyop_2Einteger_2Eint,X33727: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(X33706,mono_2Ec_2Einteger_2Eint__sub_2E2(X33727,X33733)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X33706,X33733) )
| ~ p(mono_2Ec_2Einteger_2Eint__divides_2E2(X33706,X33727)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
tcf(c_0_36,negated_conjecture,
mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk2_0) = mono_2Ec_2Ebool_2ET_2E0,
inference(spm,[status(thm)],[c_0_19,c_0_28]) ).
tcf(c_0_37,negated_conjecture,
( p(mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk3_0))
| ( mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk3_0) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
tff(c_0_38,plain,
! [X34532: mono_2Etyop_2Einteger_2Eint,X34533: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(X34532,mono_2Ec_2Einteger_2Eint__neg_2E1(X34533)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X34532,X34533) )
& ( mono_2Ec_2Einteger_2Eint__divides_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(X34532),X34533) = mono_2Ec_2Einteger_2Eint__divides_2E2(X34532,X34533) ) ),
inference(variable_rename,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__NEG]) ).
tff(c_0_39,plain,
! [X34551: mono_2Etyop_2Einteger_2Eint,X34552: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__sub_2E2(X34551,X34552)) = mono_2Ec_2Einteger_2Eint__sub_2E2(X34552,X34551) ),
inference(variable_rename,[status(thm)],[thm_2Einteger_2EINT__NEG__SUB]) ).
tcf(c_0_40,plain,
! [X33706: mono_2Etyop_2Einteger_2Eint] : ~ p(mono_2Ec_2Einteger_2Eint__lt_2E2(X33706,X33706)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
tcf(c_0_41,plain,
! [X6: mono_2Etyop_2Emin_2Ebool] :
( p(X6)
| ( X6 = mono_2Ec_2Ebool_2EF_2E0 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
tcf(c_0_42,negated_conjecture,
! [X6: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,mono_2Ec_2Einteger_2Eint__sub_2E2(esk3_0,esk2_0)) = X6 )
| p(X6)
| ( mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk3_0) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_26]) ).
tff(c_0_43,plain,
( ( mono_2Ec_2Ebool_2ET_2E0 != mono_2Ec_2Ebool_2EF_2E0 )
& ( mono_2Ec_2Ebool_2EF_2E0 != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EBOOL__EQ__DISTINCT]) ).
tcf(c_0_44,negated_conjecture,
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,mono_2Ec_2Einteger_2Eint__sub_2E2(esk3_0,esk2_0)) = mono_2Ec_2Ebool_2ET_2E0 )
| ( mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk3_0) = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_34]) ).
tcf(c_0_45,negated_conjecture,
mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk3_0) != mono_2Ec_2Ebool_2ET_2E0,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_35]),c_0_36]),c_0_37]) ).
tcf(c_0_46,plain,
! [X33706: mono_2Etyop_2Einteger_2Eint,X33727: mono_2Etyop_2Einteger_2Eint] : mono_2Ec_2Einteger_2Eint__divides_2E2(X33706,mono_2Ec_2Einteger_2Eint__neg_2E1(X33727)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X33706,X33727),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
tcf(c_0_47,plain,
! [X33727: mono_2Etyop_2Einteger_2Eint,X33706: mono_2Etyop_2Einteger_2Eint] : mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__sub_2E2(X33706,X33727)) = mono_2Ec_2Einteger_2Eint__sub_2E2(X33727,X33706),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
tcf(c_0_48,plain,
! [X33706: mono_2Etyop_2Einteger_2Eint] : mono_2Ec_2Einteger_2Eint__lt_2E2(X33706,X33706) = mono_2Ec_2Ebool_2EF_2E0,
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
tcf(c_0_49,negated_conjecture,
! [X6: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,mono_2Ec_2Einteger_2Eint__sub_2E2(esk3_0,esk2_0)) = X6 )
| ( mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk3_0) = mono_2Ec_2Ebool_2EF_2E0 )
| p(X6) ),
inference(spm,[status(thm)],[c_0_42,c_0_22]) ).
tff(c_0_50,plain,
( ( mono_2Ec_2Ebool_2ET_2E0 != mono_2Ec_2Ebool_2EF_2E0 )
& ( mono_2Ec_2Ebool_2EF_2E0 != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(fof_nnf,[status(thm)],[c_0_43]) ).
tff(c_0_51,plain,
! [X8: mono_2Etyop_2Emin_2Ebool] :
( ( ( p(mono_2Ec_2Ebool_2ET_2E0)
=> p(X8) )
<=> p(X8) )
& ( ( p(X8)
=> p(mono_2Ec_2Ebool_2ET_2E0) )
<=> p(mono_2Ec_2Ebool_2ET_2E0) )
& ( ( p(mono_2Ec_2Ebool_2EF_2E0)
=> p(X8) )
<=> p(mono_2Ec_2Ebool_2ET_2E0) )
& p(mono_2Ec_2Ebool_2ET_2E0)
& ( ( p(X8)
=> p(mono_2Ec_2Ebool_2EF_2E0) )
<=> ~ p(X8) ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).
tcf(c_0_52,negated_conjecture,
mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,mono_2Ec_2Einteger_2Eint__sub_2E2(esk3_0,esk2_0)) = mono_2Ec_2Ebool_2ET_2E0,
inference(sr,[status(thm)],[c_0_44,c_0_45]) ).
tcf(c_0_53,plain,
! [X33706: mono_2Etyop_2Einteger_2Eint,X33733: mono_2Etyop_2Einteger_2Eint,X33727: mono_2Etyop_2Einteger_2Eint] : mono_2Ec_2Einteger_2Eint__divides_2E2(X33706,mono_2Ec_2Einteger_2Eint__sub_2E2(X33727,X33733)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X33706,mono_2Ec_2Einteger_2Eint__sub_2E2(X33733,X33727)),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
tcf(c_0_54,negated_conjecture,
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,mono_2Ec_2Einteger_2Eint__sub_2E2(esk3_0,esk2_0)) = mono_2Ec_2Ebool_2EF_2E0 )
| ( mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk3_0) = mono_2Ec_2Ebool_2EF_2E0 ) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_48]),c_0_31]) ).
tcf(c_0_55,plain,
mono_2Ec_2Ebool_2EF_2E0 != mono_2Ec_2Ebool_2ET_2E0,
inference(split_conjunct,[status(thm)],[c_0_50]) ).
tff(c_0_56,plain,
! [X37363: mono_2Etyop_2Emin_2Ebool] :
( ( p(mono_2Ec_2Ebool_2ET_2E0)
| p(X37363) )
& ( ~ p(X37363)
| p(X37363) )
& ( ~ p(X37363)
| ~ p(mono_2Ec_2Ebool_2ET_2E0)
| p(X37363) )
& ( p(X37363)
| p(mono_2Ec_2Ebool_2ET_2E0) )
& ( ~ p(mono_2Ec_2Ebool_2ET_2E0)
| p(mono_2Ec_2Ebool_2ET_2E0) )
& ( ~ p(mono_2Ec_2Ebool_2ET_2E0)
| ~ p(X37363)
| p(mono_2Ec_2Ebool_2ET_2E0) )
& ( p(mono_2Ec_2Ebool_2EF_2E0)
| p(mono_2Ec_2Ebool_2ET_2E0) )
& ( ~ p(X37363)
| p(mono_2Ec_2Ebool_2ET_2E0) )
& ( ~ p(mono_2Ec_2Ebool_2ET_2E0)
| ~ p(mono_2Ec_2Ebool_2EF_2E0)
| p(X37363) )
& p(mono_2Ec_2Ebool_2ET_2E0)
& ( p(X37363)
| ~ p(X37363) )
& ( ~ p(mono_2Ec_2Ebool_2EF_2E0)
| ~ p(X37363) )
& ( p(X37363)
| ~ p(X37363)
| p(mono_2Ec_2Ebool_2EF_2E0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])]) ).
tcf(c_0_57,negated_conjecture,
mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,mono_2Ec_2Einteger_2Eint__sub_2E2(esk2_0,esk3_0)) = mono_2Ec_2Ebool_2ET_2E0,
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
tcf(c_0_58,negated_conjecture,
mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk3_0) = mono_2Ec_2Ebool_2EF_2E0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_35]),c_0_36]),c_0_55]),c_0_41]) ).
tcf(c_0_59,plain,
p(mono_2Ec_2Ebool_2ET_2E0),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_60,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_57]),c_0_58]),c_0_36]),c_0_59])]),c_0_55]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP012_4 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n022.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 12:34:28 EDT 2024
% 0.14/0.36 % CPUTime :
% 4.45/4.63 Running first-order model finding
% 4.45/4.63 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.47rKPyLzry/E---3.1_5354.p
% 103.84/20.04 # Version: 3.1.0
% 103.84/20.04 # Preprocessing class: FMLLSMLLSSSNFFN.
% 103.84/20.04 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 103.84/20.04 # Starting new_bool_3 with 894s (3) cores
% 103.84/20.04 # Starting new_bool_1 with 894s (3) cores
% 103.84/20.04 # Starting sh5l with 298s (1) cores
% 103.84/20.04 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 298s (1) cores
% 103.84/20.04 # new_bool_1 with pid 5434 completed with status 0
% 103.84/20.04 # Result found by new_bool_1
% 103.84/20.04 # Preprocessing class: FMLLSMLLSSSNFFN.
% 103.84/20.04 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 103.84/20.04 # Starting new_bool_3 with 894s (3) cores
% 103.84/20.04 # Starting new_bool_1 with 894s (3) cores
% 103.84/20.04 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 103.84/20.04 # Search class: FGHSM-SMLM33-DFFFFFNN
% 103.84/20.04 # Scheduled 6 strats onto 3 cores with 894 seconds (894 total)
% 103.84/20.04 # Starting SAT001_MinMin_p005000_rr with 483s (1) cores
% 103.84/20.04 # Starting new_bool_1 with 90s (1) cores
% 103.84/20.04 # Starting SAT001_CA_MinMin_p005000_rr with 81s (1) cores
% 103.84/20.04 # SAT001_MinMin_p005000_rr with pid 5437 completed with status 0
% 103.84/20.04 # Result found by SAT001_MinMin_p005000_rr
% 103.84/20.04 # Preprocessing class: FMLLSMLLSSSNFFN.
% 103.84/20.04 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 103.84/20.04 # Starting new_bool_3 with 894s (3) cores
% 103.84/20.04 # Starting new_bool_1 with 894s (3) cores
% 103.84/20.04 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 103.84/20.04 # Search class: FGHSM-SMLM33-DFFFFFNN
% 103.84/20.04 # Scheduled 6 strats onto 3 cores with 894 seconds (894 total)
% 103.84/20.04 # Starting SAT001_MinMin_p005000_rr with 483s (1) cores
% 103.84/20.04 # Preprocessing time : 0.139 s
% 103.84/20.04 # Presaturation interreduction done
% 103.84/20.04
% 103.84/20.04 # Proof found!
% 103.84/20.04 # SZS status Theorem
% 103.84/20.04 # SZS output start CNFRefutation
% See solution above
% 103.84/20.04 # Parsed axioms : 36789
% 103.84/20.04 # Removed by relevancy pruning/SinE : 35375
% 103.84/20.04 # Initial clauses : 3312
% 103.84/20.04 # Removed in clause preprocessing : 880
% 103.84/20.04 # Initial clauses in saturation : 2432
% 103.84/20.04 # Processed clauses : 17145
% 103.84/20.04 # ...of these trivial : 457
% 103.84/20.04 # ...subsumed : 12315
% 103.84/20.04 # ...remaining for further processing : 4373
% 103.84/20.04 # Other redundant clauses eliminated : 2655
% 103.84/20.04 # Clauses deleted for lack of memory : 0
% 103.84/20.04 # Backward-subsumed : 108
% 103.84/20.04 # Backward-rewritten : 258
% 103.84/20.04 # Generated clauses : 164015
% 103.84/20.04 # ...of the previous two non-redundant : 148671
% 103.84/20.04 # ...aggressively subsumed : 0
% 103.84/20.04 # Contextual simplify-reflections : 57
% 103.84/20.04 # Paramodulations : 161062
% 103.84/20.04 # Factorizations : 158
% 103.84/20.04 # NegExts : 0
% 103.84/20.04 # Equation resolutions : 2806
% 103.84/20.04 # Disequality decompositions : 0
% 103.84/20.04 # Total rewrite steps : 49604
% 103.84/20.04 # ...of those cached : 44402
% 103.84/20.04 # Propositional unsat checks : 0
% 103.84/20.04 # Propositional check models : 0
% 103.84/20.04 # Propositional check unsatisfiable : 0
% 103.84/20.04 # Propositional clauses : 0
% 103.84/20.04 # Propositional clauses after purity: 0
% 103.84/20.04 # Propositional unsat core size : 0
% 103.84/20.04 # Propositional preprocessing time : 0.000
% 103.84/20.04 # Propositional encoding time : 0.000
% 103.84/20.04 # Propositional solver time : 0.000
% 103.84/20.04 # Success case prop preproc time : 0.000
% 103.84/20.04 # Success case prop encoding time : 0.000
% 103.84/20.04 # Success case prop solver time : 0.000
% 103.84/20.04 # Current number of processed clauses : 2475
% 103.84/20.04 # Positive orientable unit clauses : 277
% 103.84/20.04 # Positive unorientable unit clauses: 12
% 103.84/20.04 # Negative unit clauses : 535
% 103.84/20.04 # Non-unit-clauses : 1651
% 103.84/20.04 # Current number of unprocessed clauses: 134676
% 103.84/20.04 # ...number of literals in the above : 654804
% 103.84/20.04 # Current number of archived formulas : 0
% 103.84/20.04 # Current number of archived clauses : 1775
% 103.84/20.04 # Clause-clause subsumption calls (NU) : 4135130
% 103.84/20.04 # Rec. Clause-clause subsumption calls : 429105
% 103.84/20.04 # Non-unit clause-clause subsumptions : 6106
% 103.84/20.04 # Unit Clause-clause subsumption calls : 41913
% 103.84/20.04 # Rewrite failures with RHS unbound : 0
% 103.84/20.04 # BW rewrite match attempts : 1847
% 103.84/20.04 # BW rewrite match successes : 299
% 103.84/20.04 # Condensation attempts : 0
% 103.84/20.04 # Condensation successes : 0
% 103.84/20.04 # Termbank termtop insertions : 13495742
% 103.84/20.04 # Search garbage collected termcells : 349473
% 103.84/20.04
% 103.84/20.04 # -------------------------------------------------
% 103.84/20.04 # User time : 12.181 s
% 103.84/20.04 # System time : 0.270 s
% 103.84/20.04 # Total time : 12.451 s
% 103.84/20.04 # Maximum resident set size: 79036 pages
% 103.84/20.04
% 103.84/20.04 # -------------------------------------------------
% 103.84/20.04 # User time : 38.011 s
% 103.84/20.04 # System time : 0.580 s
% 103.84/20.04 # Total time : 38.592 s
% 103.84/20.04 # Maximum resident set size: 68200 pages
% 103.84/20.04 % E---3.1 exiting
%------------------------------------------------------------------------------