TSTP Solution File: ITP015^5 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : ITP015^5 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 Jun 24 09:11:01 EDT 2024
% Result : Theorem 44.59s 9.66s
% Output : CNFRefutation 44.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 32 unt; 0 typ; 0 def)
% Number of atoms : 81 ( 32 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 477 ( 24 ~; 21 |; 1 &; 426 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 5 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 57 ( 0 ^ 57 !; 0 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
del: $tType ).
thf(decl_sort2,type,
tp__ty_2Enum_2Enum: $tType ).
thf(decl_sort3,type,
tp__ty_2Einteger_2Eint: $tType ).
thf(decl_22,type,
bool: del ).
thf(decl_24,type,
arr: del > del > del ).
thf(decl_25,type,
mem: $i > del > $o ).
thf(decl_26,type,
ap: $i > $i > $i ).
thf(decl_86,type,
ty_2Enum_2Enum: del ).
thf(decl_87,type,
inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i ).
thf(decl_90,type,
fo__c_2Enum_2E0: tp__ty_2Enum_2Enum ).
thf(decl_845,type,
ty_2Efcp_2Ecart: del > del > del ).
thf(decl_1313,type,
ty_2Einteger_2Eint: del ).
thf(decl_1314,type,
inj__ty_2Einteger_2Eint: tp__ty_2Einteger_2Eint > $i ).
thf(decl_1315,type,
surj__ty_2Einteger_2Eint: $i > tp__ty_2Einteger_2Eint ).
thf(decl_1349,type,
c_2Einteger_2Eint__neg: $i ).
thf(decl_1351,type,
c_2Einteger_2Eint__of__num: $i ).
thf(decl_1409,type,
c_2Ewords_2En2w: del > $i ).
thf(decl_2010,type,
c_2Einteger__word_2Ei2w: del > $i ).
thf(decl_2019,type,
c_2Einteger__word_2Ew2i: del > $i ).
thf(decl_2032,type,
esk1_0: del ).
thf(ap_tp,axiom,
! [X3: del,X4: del,X5: $i] :
( ( mem @ X5 @ ( arr @ X3 @ X4 ) )
=> ! [X6: $i] :
( ( mem @ X6 @ X3 )
=> ( mem @ ( ap @ X5 @ X6 ) @ X4 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RpI0ou2is6/E---3.1_10708.p',ap_tp) ).
thf(stp_iso_mem_ty_2Einteger_2Eint,axiom,
! [X17557: $i] :
( ( mem @ X17557 @ ty_2Einteger_2Eint )
=> ( X17557
= ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ X17557 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RpI0ou2is6/E---3.1_10708.p',stp_iso_mem_ty_2Einteger_2Eint) ).
thf(mem_c_2Einteger_2Eint__neg,axiom,
mem @ c_2Einteger_2Eint__neg @ ( arr @ ty_2Einteger_2Eint @ ty_2Einteger_2Eint ),
file('/export/starexec/sandbox2/tmp/tmp.RpI0ou2is6/E---3.1_10708.p',mem_c_2Einteger_2Eint__neg) ).
thf(stp_inj_mem_ty_2Einteger_2Eint,axiom,
! [X17556: tp__ty_2Einteger_2Eint] : ( mem @ ( inj__ty_2Einteger_2Eint @ X17556 ) @ ty_2Einteger_2Eint ),
file('/export/starexec/sandbox2/tmp/tmp.RpI0ou2is6/E---3.1_10708.p',stp_inj_mem_ty_2Einteger_2Eint) ).
thf(conj_thm_2Einteger_2EINT__NEG__SAME__EQ,axiom,
! [X18068: tp__ty_2Einteger_2Eint] :
( ( X18068
= ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X18068 ) ) ) )
<=> ( X18068
= ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RpI0ou2is6/E---3.1_10708.p',conj_thm_2Einteger_2EINT__NEG__SAME__EQ) ).
thf(mem_c_2Einteger_2Eint__of__num,axiom,
mem @ c_2Einteger_2Eint__of__num @ ( arr @ ty_2Enum_2Enum @ ty_2Einteger_2Eint ),
file('/export/starexec/sandbox2/tmp/tmp.RpI0ou2is6/E---3.1_10708.p',mem_c_2Einteger_2Eint__of__num) ).
thf(stp_inj_mem_ty_2Enum_2Enum,axiom,
! [X147: tp__ty_2Enum_2Enum] : ( mem @ ( inj__ty_2Enum_2Enum @ X147 ) @ ty_2Enum_2Enum ),
file('/export/starexec/sandbox2/tmp/tmp.RpI0ou2is6/E---3.1_10708.p',stp_inj_mem_ty_2Enum_2Enum) ).
thf(mem_c_2Einteger__word_2Ew2i,axiom,
! [X13: del] : ( mem @ ( c_2Einteger__word_2Ew2i @ X13 ) @ ( arr @ ( ty_2Efcp_2Ecart @ bool @ X13 ) @ ty_2Einteger_2Eint ) ),
file('/export/starexec/sandbox2/tmp/tmp.RpI0ou2is6/E---3.1_10708.p',mem_c_2Einteger__word_2Ew2i) ).
thf(conj_thm_2Einteger__word_2Eword__0__w2i,axiom,
! [X13: del] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( c_2Einteger__word_2Ew2i @ X13 ) @ ( ap @ ( c_2Ewords_2En2w @ X13 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RpI0ou2is6/E---3.1_10708.p',conj_thm_2Einteger__word_2Eword__0__w2i) ).
thf(conj_thm_2Einteger__word_2Ei2w__w2i,axiom,
! [X13: del,X14988: $i] :
( ( mem @ X14988 @ ( ty_2Efcp_2Ecart @ bool @ X13 ) )
=> ( ( ap @ ( c_2Einteger__word_2Ei2w @ X13 ) @ ( ap @ ( c_2Einteger__word_2Ew2i @ X13 ) @ X14988 ) )
= X14988 ) ),
file('/export/starexec/sandbox2/tmp/tmp.RpI0ou2is6/E---3.1_10708.p',conj_thm_2Einteger__word_2Ei2w__w2i) ).
thf(mem_c_2Ewords_2En2w,axiom,
! [X13: del] : ( mem @ ( c_2Ewords_2En2w @ X13 ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Efcp_2Ecart @ bool @ X13 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RpI0ou2is6/E---3.1_10708.p',mem_c_2Ewords_2En2w) ).
thf(conj_thm_2Einteger__word_2Ei2w__0,conjecture,
! [X13: del] :
( ( ap @ ( c_2Einteger__word_2Ei2w @ X13 ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
= ( ap @ ( c_2Ewords_2En2w @ X13 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RpI0ou2is6/E---3.1_10708.p',conj_thm_2Einteger__word_2Ei2w__0) ).
thf(c_0_12,plain,
! [X23444: del,X23445: del,X23446: $i,X23447: $i] :
( ~ ( mem @ X23446 @ ( arr @ X23444 @ X23445 ) )
| ~ ( mem @ X23447 @ X23444 )
| ( mem @ ( ap @ X23446 @ X23447 ) @ X23445 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])]) ).
thf(c_0_13,plain,
! [X24370: $i] :
( ~ ( mem @ X24370 @ ty_2Einteger_2Eint )
| ( X24370
= ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ X24370 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[stp_iso_mem_ty_2Einteger_2Eint])])]) ).
thf(c_0_14,plain,
! [X2: $i,X5: $i,X4: del,X3: del] :
( ( mem @ ( ap @ X2 @ X5 ) @ X4 )
| ~ ( mem @ X2 @ ( arr @ X3 @ X4 ) )
| ~ ( mem @ X5 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_15,plain,
mem @ c_2Einteger_2Eint__neg @ ( arr @ ty_2Einteger_2Eint @ ty_2Einteger_2Eint ),
inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__neg]) ).
thf(c_0_16,plain,
! [X2: $i] :
( ( X2
= ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ X2 ) ) )
| ~ ( mem @ X2 @ ty_2Einteger_2Eint ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_17,plain,
! [X2: $i] :
( ( mem @ ( ap @ c_2Einteger_2Eint__neg @ X2 ) @ ty_2Einteger_2Eint )
| ~ ( mem @ X2 @ ty_2Einteger_2Eint ) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_18,plain,
! [X24369: tp__ty_2Einteger_2Eint] : ( mem @ ( inj__ty_2Einteger_2Eint @ X24369 ) @ ty_2Einteger_2Eint ),
inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Einteger_2Eint]) ).
thf(c_0_19,plain,
! [X25223: tp__ty_2Einteger_2Eint] :
( ( ( X25223
!= ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X25223 ) ) ) )
| ( X25223
= ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) )
& ( ( X25223
!= ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
| ( X25223
= ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X25223 ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__NEG__SAME__EQ])])]) ).
thf(c_0_20,plain,
! [X2: $i] :
( ( ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ X2 ) ) )
= ( ap @ c_2Einteger_2Eint__neg @ X2 ) )
| ~ ( mem @ X2 @ ty_2Einteger_2Eint ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_21,plain,
! [X17555: tp__ty_2Einteger_2Eint] : ( mem @ ( inj__ty_2Einteger_2Eint @ X17555 ) @ ty_2Einteger_2Eint ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_22,plain,
mem @ c_2Einteger_2Eint__of__num @ ( arr @ ty_2Enum_2Enum @ ty_2Einteger_2Eint ),
inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__of__num]) ).
thf(c_0_23,plain,
! [X17555: tp__ty_2Einteger_2Eint] :
( ( X17555
= ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X17555 ) ) ) )
| ( X17555
!= ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_24,plain,
! [X17555: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X17555 ) ) ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X17555 ) ) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
thf(c_0_25,plain,
! [X2: $i] :
( ( mem @ ( ap @ c_2Einteger_2Eint__of__num @ X2 ) @ ty_2Einteger_2Eint )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) ),
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
thf(c_0_26,plain,
( ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ),
inference(er,[status(thm)],[c_0_23]) ).
thf(c_0_27,plain,
! [X24111: tp__ty_2Enum_2Enum] : ( mem @ ( inj__ty_2Enum_2Enum @ X24111 ) @ ty_2Enum_2Enum ),
inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Enum_2Enum]) ).
thf(c_0_28,plain,
! [X24374: del] : ( mem @ ( c_2Einteger__word_2Ew2i @ X24374 ) @ ( arr @ ( ty_2Efcp_2Ecart @ bool @ X24374 ) @ ty_2Einteger_2Eint ) ),
inference(variable_rename,[status(thm)],[mem_c_2Einteger__word_2Ew2i]) ).
thf(c_0_29,plain,
! [X17555: tp__ty_2Einteger_2Eint] : ( mem @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X17555 ) ) @ ty_2Einteger_2Eint ),
inference(spm,[status(thm)],[c_0_21,c_0_24]) ).
thf(c_0_30,plain,
! [X2: $i] :
( ( ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ X2 ) ) )
= ( ap @ c_2Einteger_2Eint__of__num @ X2 ) )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) ),
inference(spm,[status(thm)],[c_0_16,c_0_25]) ).
thf(c_0_31,plain,
( ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) )
= ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ),
inference(spm,[status(thm)],[c_0_24,c_0_26]) ).
thf(c_0_32,plain,
! [X146: tp__ty_2Enum_2Enum] : ( mem @ ( inj__ty_2Enum_2Enum @ X146 ) @ ty_2Enum_2Enum ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_33,plain,
! [X3: del] : ( mem @ ( c_2Einteger__word_2Ew2i @ X3 ) @ ( arr @ ( ty_2Efcp_2Ecart @ bool @ X3 ) @ ty_2Einteger_2Eint ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_34,plain,
! [X2: $i] :
( ( mem @ ( ap @ c_2Einteger_2Eint__neg @ ( ap @ c_2Einteger_2Eint__of__num @ X2 ) ) @ ty_2Einteger_2Eint )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_35,plain,
( ( ap @ c_2Einteger_2Eint__neg @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
= ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_30]),c_0_32])]) ).
thf(c_0_36,plain,
! [X2: $i,X3: del] :
( ( mem @ ( ap @ ( c_2Einteger__word_2Ew2i @ X3 ) @ X2 ) @ ty_2Einteger_2Eint )
| ~ ( mem @ X2 @ ( ty_2Efcp_2Ecart @ bool @ X3 ) ) ),
inference(spm,[status(thm)],[c_0_14,c_0_33]) ).
thf(c_0_37,plain,
! [X24387: del] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( c_2Einteger__word_2Ew2i @ X24387 ) @ ( ap @ ( c_2Ewords_2En2w @ X24387 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ),
inference(variable_rename,[status(thm)],[conj_thm_2Einteger__word_2Eword__0__w2i]) ).
thf(c_0_38,plain,
mem @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ty_2Einteger_2Eint,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_32])]) ).
thf(c_0_39,plain,
! [X23386: del,X23387: $i] :
( ~ ( mem @ X23387 @ ( ty_2Efcp_2Ecart @ bool @ X23386 ) )
| ( ( ap @ ( c_2Einteger__word_2Ei2w @ X23386 ) @ ( ap @ ( c_2Einteger__word_2Ew2i @ X23386 ) @ X23387 ) )
= X23387 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger__word_2Ei2w__w2i])])]) ).
thf(c_0_40,plain,
! [X2: $i,X3: del] :
( ( ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ ( ap @ ( c_2Einteger__word_2Ew2i @ X3 ) @ X2 ) ) )
= ( ap @ ( c_2Einteger__word_2Ew2i @ X3 ) @ X2 ) )
| ~ ( mem @ X2 @ ( ty_2Efcp_2Ecart @ bool @ X3 ) ) ),
inference(spm,[status(thm)],[c_0_16,c_0_36]) ).
thf(c_0_41,plain,
! [X3: del] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( c_2Einteger__word_2Ew2i @ X3 ) @ ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
thf(c_0_42,plain,
( ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
= ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ),
inference(spm,[status(thm)],[c_0_16,c_0_38]) ).
thf(c_0_43,plain,
! [X23376: del] : ( mem @ ( c_2Ewords_2En2w @ X23376 ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Efcp_2Ecart @ bool @ X23376 ) ) ),
inference(variable_rename,[status(thm)],[mem_c_2Ewords_2En2w]) ).
thf(c_0_44,negated_conjecture,
~ ! [X13: del] :
( ( ap @ ( c_2Einteger__word_2Ei2w @ X13 ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
= ( ap @ ( c_2Ewords_2En2w @ X13 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Einteger__word_2Ei2w__0]) ).
thf(c_0_45,plain,
! [X2: $i,X3: del] :
( ( ( ap @ ( c_2Einteger__word_2Ei2w @ X3 ) @ ( ap @ ( c_2Einteger__word_2Ew2i @ X3 ) @ X2 ) )
= X2 )
| ~ ( mem @ X2 @ ( ty_2Efcp_2Ecart @ bool @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
thf(c_0_46,plain,
! [X3: del] :
( ( ( ap @ ( c_2Einteger__word_2Ew2i @ X3 ) @ ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
= ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ty_2Efcp_2Ecart @ bool @ X3 ) ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
thf(c_0_47,plain,
! [X3: del] : ( mem @ ( c_2Ewords_2En2w @ X3 ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Efcp_2Ecart @ bool @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
thf(c_0_48,negated_conjecture,
( ( ap @ ( c_2Einteger__word_2Ei2w @ esk1_0 ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
!= ( ap @ ( c_2Ewords_2En2w @ esk1_0 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).
thf(c_0_49,plain,
! [X3: del] :
( ( ( ap @ ( c_2Einteger__word_2Ei2w @ X3 ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
= ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( ty_2Efcp_2Ecart @ bool @ X3 ) ) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
thf(c_0_50,plain,
! [X3: del,X2: $i] :
( ( mem @ ( ap @ ( c_2Ewords_2En2w @ X3 ) @ X2 ) @ ( ty_2Efcp_2Ecart @ bool @ X3 ) )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) ),
inference(spm,[status(thm)],[c_0_14,c_0_47]) ).
thf(c_0_51,negated_conjecture,
( ( ap @ ( c_2Einteger__word_2Ei2w @ esk1_0 ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
!= ( ap @ ( c_2Ewords_2En2w @ esk1_0 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
thf(c_0_52,plain,
! [X3: del] :
( ( ap @ ( c_2Einteger__word_2Ei2w @ X3 ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
= ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_32])]) ).
thf(c_0_53,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP015^5 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jun 18 22:48:10 EDT 2024
% 0.12/0.33 % CPUTime :
% 2.74/2.90 Running higher-order theorem proving
% 2.74/2.90 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/tmp/tmp.RpI0ou2is6/E---3.1_10708.p
% 44.59/9.66 # Version: 3.2.0-ho
% 44.59/9.66 # Preprocessing class: HMLLSMLLSSLNSFA.
% 44.59/9.66 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 44.59/9.66 # Starting new_bool_8 with 1196s (4) cores
% 44.59/9.66 # Starting post_as_ho5 with 598s (2) cores
% 44.59/9.66 # Starting new_bool_9 with 299s (1) cores
% 44.59/9.66 # Starting new_bool_3 with 299s (1) cores
% 44.59/9.66 # new_bool_8 with pid 10786 completed with status 0
% 44.59/9.66 # Result found by new_bool_8
% 44.59/9.66 # Preprocessing class: HMLLSMLLSSLNSFA.
% 44.59/9.66 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 44.59/9.66 # Starting new_bool_8 with 1196s (4) cores
% 44.59/9.66 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 44.59/9.66 # Search class: HGHSM-SMLM32-DSFFFFNN
% 44.59/9.66 # partial match(1): HGHSM-SMLM32-DSFFFFBN
% 44.59/9.66 # Scheduled 6 strats onto 4 cores with 1196 seconds (1196 total)
% 44.59/9.66 # Starting post_as_ho7 with 646s (1) cores
% 44.59/9.66 # Starting new_bool_8 with 120s (1) cores
% 44.59/9.66 # Starting full_lambda_3 with 108s (1) cores
% 44.59/9.66 # Starting post_as_ho6 with 108s (1) cores
% 44.59/9.66 # new_bool_8 with pid 10792 completed with status 0
% 44.59/9.66 # Result found by new_bool_8
% 44.59/9.66 # Preprocessing class: HMLLSMLLSSLNSFA.
% 44.59/9.66 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 44.59/9.66 # Starting new_bool_8 with 1196s (4) cores
% 44.59/9.66 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 44.59/9.66 # Search class: HGHSM-SMLM32-DSFFFFNN
% 44.59/9.66 # partial match(1): HGHSM-SMLM32-DSFFFFBN
% 44.59/9.66 # Scheduled 6 strats onto 4 cores with 1196 seconds (1196 total)
% 44.59/9.66 # Starting post_as_ho7 with 646s (1) cores
% 44.59/9.66 # Starting new_bool_8 with 120s (1) cores
% 44.59/9.66 # Preprocessing time : 0.092 s
% 44.59/9.66 # Presaturation interreduction done
% 44.59/9.66
% 44.59/9.66 # Proof found!
% 44.59/9.66 # SZS status Theorem
% 44.59/9.66 # SZS output start CNFRefutation
% See solution above
% 44.59/9.66 # Parsed axioms : 13423
% 44.59/9.66 # Removed by relevancy pruning/SinE : 12713
% 44.59/9.66 # Initial clauses : 2451
% 44.59/9.66 # Removed in clause preprocessing : 1054
% 44.59/9.66 # Initial clauses in saturation : 1397
% 44.59/9.66 # Processed clauses : 4998
% 44.59/9.66 # ...of these trivial : 84
% 44.59/9.66 # ...subsumed : 1433
% 44.59/9.66 # ...remaining for further processing : 3481
% 44.59/9.66 # Other redundant clauses eliminated : 362
% 44.59/9.66 # Clauses deleted for lack of memory : 0
% 44.59/9.66 # Backward-subsumed : 32
% 44.59/9.66 # Backward-rewritten : 36
% 44.59/9.66 # Generated clauses : 110491
% 44.59/9.66 # ...of the previous two non-redundant : 109180
% 44.59/9.66 # ...aggressively subsumed : 0
% 44.59/9.66 # Contextual simplify-reflections : 2
% 44.59/9.66 # Paramodulations : 110106
% 44.59/9.66 # Factorizations : 4
% 44.59/9.66 # NegExts : 0
% 44.59/9.66 # Equation resolutions : 388
% 44.59/9.66 # Disequality decompositions : 0
% 44.59/9.66 # Total rewrite steps : 4799
% 44.59/9.66 # ...of those cached : 4464
% 44.59/9.66 # Propositional unsat checks : 0
% 44.59/9.66 # Propositional check models : 0
% 44.59/9.66 # Propositional check unsatisfiable : 0
% 44.59/9.66 # Propositional clauses : 0
% 44.59/9.66 # Propositional clauses after purity: 0
% 44.59/9.66 # Propositional unsat core size : 0
% 44.59/9.66 # Propositional preprocessing time : 0.000
% 44.59/9.66 # Propositional encoding time : 0.000
% 44.59/9.66 # Propositional solver time : 0.000
% 44.59/9.66 # Success case prop preproc time : 0.000
% 44.59/9.66 # Success case prop encoding time : 0.000
% 44.59/9.66 # Success case prop solver time : 0.000
% 44.59/9.66 # Current number of processed clauses : 2081
% 44.59/9.66 # Positive orientable unit clauses : 328
% 44.59/9.66 # Positive unorientable unit clauses: 5
% 44.59/9.66 # Negative unit clauses : 197
% 44.59/9.66 # Non-unit-clauses : 1551
% 44.59/9.66 # Current number of unprocessed clauses: 106809
% 44.59/9.66 # ...number of literals in the above : 591841
% 44.59/9.66 # Current number of archived formulas : 0
% 44.59/9.66 # Current number of archived clauses : 1309
% 44.59/9.66 # Clause-clause subsumption calls (NU) : 327437
% 44.59/9.66 # Rec. Clause-clause subsumption calls : 54717
% 44.59/9.66 # Non-unit clause-clause subsumptions : 607
% 44.59/9.66 # Unit Clause-clause subsumption calls : 3423
% 44.59/9.66 # Rewrite failures with RHS unbound : 0
% 44.59/9.66 # BW rewrite match attempts : 15495
% 44.59/9.66 # BW rewrite match successes : 84
% 44.59/9.66 # Condensation attempts : 0
% 44.59/9.66 # Condensation successes : 0
% 44.59/9.66 # Termbank termtop insertions : 4870036
% 44.59/9.66 # Search garbage collected termcells : 338392
% 44.59/9.66
% 44.59/9.66 # -------------------------------------------------
% 44.59/9.66 # User time : 5.048 s
% 44.59/9.66 # System time : 0.187 s
% 44.59/9.66 # Total time : 5.235 s
% 44.59/9.66 # Maximum resident set size: 63616 pages
% 44.59/9.66
% 44.59/9.66 # -------------------------------------------------
% 44.59/9.66 # User time : 20.465 s
% 44.59/9.66 # System time : 0.655 s
% 44.59/9.66 # Total time : 21.120 s
% 44.59/9.66 # Maximum resident set size: 55956 pages
% 44.59/9.66 % E---3.1 exiting
% 44.59/9.67 % E exiting
%------------------------------------------------------------------------------