TSTP Solution File: ITP012^2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP012^2 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:15:27 EDT 2024
% Result : Theorem 0.18s 0.52s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 55 ( 25 unt; 15 typ; 0 def)
% Number of atoms : 77 ( 20 equ; 0 cnn)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 717 ( 25 ~; 22 |; 7 &; 655 @)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 64 ( 0 ^ 64 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
tp__ty_2Einteger_2Eint: $tType ).
thf(decl_26,type,
ap: $i > $i > $i ).
thf(decl_28,type,
p: $i > $o ).
thf(decl_33,type,
inj__ty_2Einteger_2Eint: tp__ty_2Einteger_2Eint > $i ).
thf(decl_34,type,
surj__ty_2Einteger_2Eint: $i > tp__ty_2Einteger_2Eint ).
thf(decl_35,type,
c_2Einteger_2Eint__sub: $i ).
thf(decl_36,type,
fo__c_2Einteger_2Eint__sub: tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint ).
thf(decl_37,type,
c_2Einteger_2Eint__add: $i ).
thf(decl_38,type,
fo__c_2Einteger_2Eint__add: tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint ).
thf(decl_39,type,
c_2Einteger_2Eint__neg: $i ).
thf(decl_40,type,
fo__c_2Einteger_2Eint__neg: tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint ).
thf(decl_41,type,
c_2Einteger_2Eint__divides: $i ).
thf(decl_54,type,
esk1_0: tp__ty_2Einteger_2Eint ).
thf(decl_55,type,
esk2_0: tp__ty_2Einteger_2Eint ).
thf(decl_56,type,
esk3_0: tp__ty_2Einteger_2Eint ).
thf(stp_inj_surj_ty_2Einteger_2Eint,axiom,
! [X16: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ X16 ) )
= X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_inj_surj_ty_2Einteger_2Eint) ).
thf(stp_eq_fo_c_2Einteger_2Eint__sub,axiom,
! [X19: tp__ty_2Einteger_2Eint,X20: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ X19 @ X20 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X19 ) ) @ ( inj__ty_2Einteger_2Eint @ X20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__sub) ).
thf(stp_eq_fo_c_2Einteger_2Eint__add,axiom,
! [X19: tp__ty_2Einteger_2Eint,X20: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X19 @ X20 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X19 ) ) @ ( inj__ty_2Einteger_2Eint @ X20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__add) ).
thf(ax_thm_2Einteger_2Eint__sub,axiom,
! [X37: tp__ty_2Einteger_2Eint,X38: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X37 ) ) @ ( inj__ty_2Einteger_2Eint @ X38 ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X37 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X38 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_thm_2Einteger_2Eint__sub) ).
thf(stp_eq_fo_c_2Einteger_2Eint__neg,axiom,
! [X19: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X19 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X19 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__neg) ).
thf(conj_thm_2Einteger_2EINT__DIVIDES__RADD,axiom,
! [X39: tp__ty_2Einteger_2Eint,X40: tp__ty_2Einteger_2Eint,X41: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X39 ) ) @ ( inj__ty_2Einteger_2Eint @ X40 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X39 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X41 ) ) @ ( inj__ty_2Einteger_2Eint @ X40 ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X39 ) ) @ ( inj__ty_2Einteger_2Eint @ X41 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RADD) ).
thf(conj_thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
! [X39: tp__ty_2Einteger_2Eint,X40: tp__ty_2Einteger_2Eint,X41: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X39 ) ) @ ( inj__ty_2Einteger_2Eint @ X40 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X39 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X41 ) ) @ ( inj__ty_2Einteger_2Eint @ X40 ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X39 ) ) @ ( inj__ty_2Einteger_2Eint @ X41 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).
thf(conj_thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
! [X39: tp__ty_2Einteger_2Eint,X40: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X39 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X40 ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X39 ) ) @ ( inj__ty_2Einteger_2Eint @ X40 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X39 ) ) ) @ ( inj__ty_2Einteger_2Eint @ X40 ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X39 ) ) @ ( inj__ty_2Einteger_2Eint @ X40 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__NEG) ).
thf(c_0_8,plain,
! [X190: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ X190 ) )
= X190 ),
inference(variable_rename,[status(thm)],[stp_inj_surj_ty_2Einteger_2Eint]) ).
thf(c_0_9,plain,
! [X195: tp__ty_2Einteger_2Eint,X196: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ X195 @ X196 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X195 ) ) @ ( inj__ty_2Einteger_2Eint @ X196 ) ) ),
inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Einteger_2Eint__sub]) ).
thf(c_0_10,plain,
! [X197: tp__ty_2Einteger_2Eint,X198: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X197 @ X198 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X197 ) ) @ ( inj__ty_2Einteger_2Eint @ X198 ) ) ),
inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Einteger_2Eint__add]) ).
thf(c_0_11,plain,
! [X193: tp__ty_2Einteger_2Eint,X194: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X193 ) ) @ ( inj__ty_2Einteger_2Eint @ X194 ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X193 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X194 ) ) ) ) ),
inference(variable_rename,[status(thm)],[ax_thm_2Einteger_2Eint__sub]) ).
thf(c_0_12,plain,
! [X16: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ X16 ) )
= X16 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_13,plain,
! [X16: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ X16 @ X17 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( inj__ty_2Einteger_2Eint @ X17 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,plain,
! [X16: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X16 @ X17 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( inj__ty_2Einteger_2Eint @ X17 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,plain,
! [X199: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X199 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X199 ) ) ),
inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Einteger_2Eint__neg]) ).
thf(c_0_16,plain,
! [X16: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( inj__ty_2Einteger_2Eint @ X17 ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X17 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_17,plain,
! [X16: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( inj__ty_2Einteger_2Eint @ X17 ) ) )
= ( fo__c_2Einteger_2Eint__sub @ X16 @ X17 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_18,plain,
! [X16: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( inj__ty_2Einteger_2Eint @ X17 ) ) )
= ( fo__c_2Einteger_2Eint__add @ X16 @ X17 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_14]) ).
thf(c_0_19,plain,
! [X16: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X16 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X16 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_20,plain,
! [X16: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X17 ) ) ) )
= ( fo__c_2Einteger_2Eint__sub @ X16 @ X17 ) ),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_21,plain,
! [X185: tp__ty_2Einteger_2Eint,X186: tp__ty_2Einteger_2Eint,X187: tp__ty_2Einteger_2Eint] :
( ( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X185 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X187 ) ) @ ( inj__ty_2Einteger_2Eint @ X186 ) ) ) )
| ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X185 ) ) @ ( inj__ty_2Einteger_2Eint @ X187 ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X185 ) ) @ ( inj__ty_2Einteger_2Eint @ X186 ) ) ) )
& ( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X185 ) ) @ ( inj__ty_2Einteger_2Eint @ X187 ) ) )
| ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X185 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X187 ) ) @ ( inj__ty_2Einteger_2Eint @ X186 ) ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X185 ) ) @ ( inj__ty_2Einteger_2Eint @ X186 ) ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__DIVIDES__RADD])])])]) ).
thf(c_0_22,plain,
! [X16: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint] :
( ( fo__c_2Einteger_2Eint__add @ X16 @ ( fo__c_2Einteger_2Eint__neg @ X17 ) )
= ( fo__c_2Einteger_2Eint__sub @ X16 @ X17 ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
thf(c_0_23,negated_conjecture,
~ ! [X39: tp__ty_2Einteger_2Eint,X40: tp__ty_2Einteger_2Eint,X41: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X39 ) ) @ ( inj__ty_2Einteger_2Eint @ X40 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X39 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X41 ) ) @ ( inj__ty_2Einteger_2Eint @ X40 ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X39 ) ) @ ( inj__ty_2Einteger_2Eint @ X41 ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Einteger_2EINT__DIVIDES__RSUB]) ).
thf(c_0_24,plain,
! [X16: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint,X19: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( inj__ty_2Einteger_2Eint @ X17 ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X17 ) ) @ ( inj__ty_2Einteger_2Eint @ X19 ) ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( inj__ty_2Einteger_2Eint @ X19 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_25,plain,
! [X16: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint] :
( ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X17 ) ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( inj__ty_2Einteger_2Eint @ X17 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_22]),c_0_13]),c_0_19]) ).
thf(c_0_26,negated_conjecture,
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk1_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk2_0 ) ) )
& ( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk1_0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ esk3_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk2_0 ) ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk1_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk3_0 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk1_0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ esk3_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk2_0 ) ) ) )
| ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk1_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk3_0 ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
thf(c_0_27,plain,
! [X16: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint,X19: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( inj__ty_2Einteger_2Eint @ X17 ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X17 ) ) @ ( inj__ty_2Einteger_2Eint @ X19 ) ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X19 ) ) ) ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_19]),c_0_25]) ).
thf(c_0_28,negated_conjecture,
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk1_0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ esk3_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk2_0 ) ) ) )
| ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk1_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk3_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_29,plain,
! [X188: tp__ty_2Einteger_2Eint,X189: tp__ty_2Einteger_2Eint] :
( ( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X188 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X189 ) ) ) )
| ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X188 ) ) @ ( inj__ty_2Einteger_2Eint @ X189 ) ) ) )
& ( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X188 ) ) @ ( inj__ty_2Einteger_2Eint @ X189 ) ) )
| ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X188 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X189 ) ) ) ) )
& ( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X188 ) ) ) @ ( inj__ty_2Einteger_2Eint @ X189 ) ) )
| ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X188 ) ) @ ( inj__ty_2Einteger_2Eint @ X189 ) ) ) )
& ( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X188 ) ) @ ( inj__ty_2Einteger_2Eint @ X189 ) ) )
| ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X188 ) ) ) @ ( inj__ty_2Einteger_2Eint @ X189 ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__DIVIDES__NEG])])]) ).
thf(c_0_30,negated_conjecture,
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk1_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk3_0 ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk1_0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ esk2_0 ) ) ) ) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_31,plain,
! [X16: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X17 ) ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( inj__ty_2Einteger_2Eint @ X17 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_32,negated_conjecture,
p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk1_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_33,negated_conjecture,
( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk1_0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ esk3_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk2_0 ) ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk1_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk3_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_34,negated_conjecture,
p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk1_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
thf(c_0_35,plain,
! [X16: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint,X19: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X17 ) ) @ ( inj__ty_2Einteger_2Eint @ X19 ) ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( inj__ty_2Einteger_2Eint @ X17 ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( inj__ty_2Einteger_2Eint @ X19 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_36,negated_conjecture,
~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk1_0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ esk3_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk2_0 ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).
thf(c_0_37,plain,
! [X16: tp__ty_2Einteger_2Eint,X19: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X17 ) ) @ ( inj__ty_2Einteger_2Eint @ X19 ) ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X19 ) ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( inj__ty_2Einteger_2Eint @ X17 ) ) ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_19]),c_0_25]) ).
thf(c_0_38,negated_conjecture,
~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk1_0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ esk2_0 ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_34])]) ).
thf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_31]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ITP012^2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sat May 18 18:12:52 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.46 Running higher-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52 # Version: 3.1.0-ho
% 0.18/0.52 # Preprocessing class: HSLSSMSMSSSNSFA.
% 0.18/0.52 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.52 # Starting new_ho_10 with 900s (3) cores
% 0.18/0.52 # Starting sh2lt with 300s (1) cores
% 0.18/0.52 # Starting new_ho_5 with 300s (1) cores
% 0.18/0.52 # Starting full_lambda_5 with 300s (1) cores
% 0.18/0.52 # Starting sh9 with 300s (1) cores
% 0.18/0.52 # Starting ehoh_best8_lambda with 300s (1) cores
% 0.18/0.52 # sh2lt with pid 21902 completed with status 0
% 0.18/0.52 # Result found by sh2lt
% 0.18/0.52 # Preprocessing class: HSLSSMSMSSSNSFA.
% 0.18/0.52 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.52 # Starting new_ho_10 with 900s (3) cores
% 0.18/0.52 # Starting sh2lt with 300s (1) cores
% 0.18/0.52 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.18/0.52 # Search class: HGHSM-FFMM32-MSFFFFNN
% 0.18/0.52 # partial match(1): HGHSM-FFMM32-MSFFFFBN
% 0.18/0.52 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.52 # Starting new_ho_10 with 135s (1) cores
% 0.18/0.52 # new_ho_10 with pid 21910 completed with status 0
% 0.18/0.52 # Result found by new_ho_10
% 0.18/0.52 # Preprocessing class: HSLSSMSMSSSNSFA.
% 0.18/0.52 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.52 # Starting new_ho_10 with 900s (3) cores
% 0.18/0.52 # Starting sh2lt with 300s (1) cores
% 0.18/0.52 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.18/0.52 # Search class: HGHSM-FFMM32-MSFFFFNN
% 0.18/0.52 # partial match(1): HGHSM-FFMM32-MSFFFFBN
% 0.18/0.52 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.52 # Starting new_ho_10 with 135s (1) cores
% 0.18/0.52 # Preprocessing time : 0.002 s
% 0.18/0.52 # Presaturation interreduction done
% 0.18/0.52
% 0.18/0.52 # Proof found!
% 0.18/0.52 # SZS status Theorem
% 0.18/0.52 # SZS output start CNFRefutation
% See solution above
% 0.18/0.52 # Parsed axioms : 90
% 0.18/0.52 # Removed by relevancy pruning/SinE : 53
% 0.18/0.52 # Initial clauses : 316
% 0.18/0.52 # Removed in clause preprocessing : 248
% 0.18/0.52 # Initial clauses in saturation : 68
% 0.18/0.52 # Processed clauses : 227
% 0.18/0.52 # ...of these trivial : 3
% 0.18/0.52 # ...subsumed : 24
% 0.18/0.52 # ...remaining for further processing : 200
% 0.18/0.52 # Other redundant clauses eliminated : 0
% 0.18/0.52 # Clauses deleted for lack of memory : 0
% 0.18/0.52 # Backward-subsumed : 0
% 0.18/0.52 # Backward-rewritten : 6
% 0.18/0.52 # Generated clauses : 1538
% 0.18/0.52 # ...of the previous two non-redundant : 1411
% 0.18/0.52 # ...aggressively subsumed : 0
% 0.18/0.52 # Contextual simplify-reflections : 0
% 0.18/0.52 # Paramodulations : 1537
% 0.18/0.52 # Factorizations : 0
% 0.18/0.52 # NegExts : 0
% 0.18/0.52 # Equation resolutions : 1
% 0.18/0.52 # Disequality decompositions : 0
% 0.18/0.52 # Total rewrite steps : 269
% 0.18/0.52 # ...of those cached : 200
% 0.18/0.52 # Propositional unsat checks : 0
% 0.18/0.52 # Propositional check models : 0
% 0.18/0.52 # Propositional check unsatisfiable : 0
% 0.18/0.52 # Propositional clauses : 0
% 0.18/0.52 # Propositional clauses after purity: 0
% 0.18/0.52 # Propositional unsat core size : 0
% 0.18/0.52 # Propositional preprocessing time : 0.000
% 0.18/0.52 # Propositional encoding time : 0.000
% 0.18/0.52 # Propositional solver time : 0.000
% 0.18/0.52 # Success case prop preproc time : 0.000
% 0.18/0.52 # Success case prop encoding time : 0.000
% 0.18/0.52 # Success case prop solver time : 0.000
% 0.18/0.52 # Current number of processed clauses : 144
% 0.18/0.52 # Positive orientable unit clauses : 38
% 0.18/0.52 # Positive unorientable unit clauses: 0
% 0.18/0.52 # Negative unit clauses : 2
% 0.18/0.52 # Non-unit-clauses : 104
% 0.18/0.52 # Current number of unprocessed clauses: 1299
% 0.18/0.52 # ...number of literals in the above : 3607
% 0.18/0.52 # Current number of archived formulas : 0
% 0.18/0.52 # Current number of archived clauses : 56
% 0.18/0.52 # Clause-clause subsumption calls (NU) : 1501
% 0.18/0.52 # Rec. Clause-clause subsumption calls : 730
% 0.18/0.52 # Non-unit clause-clause subsumptions : 24
% 0.18/0.52 # Unit Clause-clause subsumption calls : 172
% 0.18/0.52 # Rewrite failures with RHS unbound : 0
% 0.18/0.52 # BW rewrite match attempts : 65
% 0.18/0.52 # BW rewrite match successes : 3
% 0.18/0.52 # Condensation attempts : 227
% 0.18/0.52 # Condensation successes : 0
% 0.18/0.52 # Termbank termtop insertions : 58769
% 0.18/0.52 # Search garbage collected termcells : 4174
% 0.18/0.52
% 0.18/0.52 # -------------------------------------------------
% 0.18/0.52 # User time : 0.052 s
% 0.18/0.52 # System time : 0.005 s
% 0.18/0.52 # Total time : 0.057 s
% 0.18/0.52 # Maximum resident set size: 2576 pages
% 0.18/0.52
% 0.18/0.52 # -------------------------------------------------
% 0.18/0.52 # User time : 0.055 s
% 0.18/0.52 # System time : 0.006 s
% 0.18/0.52 # Total time : 0.061 s
% 0.18/0.52 # Maximum resident set size: 1916 pages
% 0.18/0.52 % E---3.1 exiting
% 0.18/0.53 % E exiting
%------------------------------------------------------------------------------