%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP015^5 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:05:13 AM UTC 2026
% Result : Theorem 54.41s 13.96s
% Output : CNFRefutation 54.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 72 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 120 ( 52 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 760 ( 43 ~; 38 |; 3 &; 669 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 5 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 10 con; 0-2 aty)
% Number of variables : 93 ( 0 ^; 93 !; 0 ?; 93 :)
% 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_23,type,
bool: del ).
thf(decl_25,type,
arr: del > del > del ).
thf(decl_26,type,
mem: $i > del > $o ).
thf(decl_27,type,
ap: $i > $i > $i ).
thf(decl_29,type,
p: $i > $o ).
thf(decl_87,type,
ty_2Enum_2Enum: del ).
thf(decl_88,type,
inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i ).
thf(decl_89,type,
surj__ty_2Enum_2Enum: $i > tp__ty_2Enum_2Enum ).
thf(decl_91,type,
fo__c_2Enum_2E0: tp__ty_2Enum_2Enum ).
thf(decl_240,type,
c_2Earithmetic_2E_2D: $i ).
thf(decl_242,type,
c_2Earithmetic_2E_3C_3D: $i ).
thf(decl_278,type,
fo__c_2Earithmetic_2EZERO: tp__ty_2Enum_2Enum ).
thf(decl_846,type,
ty_2Efcp_2Ecart: del > del > del ).
thf(decl_1314,type,
ty_2Einteger_2Eint: del ).
thf(decl_1315,type,
inj__ty_2Einteger_2Eint: tp__ty_2Einteger_2Eint > $i ).
thf(decl_1316,type,
surj__ty_2Einteger_2Eint: $i > tp__ty_2Einteger_2Eint ).
thf(decl_1352,type,
c_2Einteger_2Eint__of__num: $i ).
thf(decl_1410,type,
c_2Ewords_2En2w: del > $i ).
thf(decl_2011,type,
c_2Einteger__word_2Ei2w: del > $i ).
thf(decl_2020,type,
c_2Einteger__word_2Ew2i: del > $i ).
thf(decl_2033,type,
esk1_0: del ).
thf(conj_thm_2Earithmetic_2ESUB__0,axiom,
! [X471: tp__ty_2Enum_2Enum] :
( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ X471 ) ) )
= fo__c_2Enum_2E0 )
& ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X471 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
= X471 ) ),
file('/export/starexec/sandbox2/tmp/tmp.cyR81DKkDq/E---3.1_3621669.p',conj_thm_2Earithmetic_2ESUB__0) ).
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.cyR81DKkDq/E---3.1_3621669.p',ap_tp) ).
thf(stp_iso_mem_ty_2Enum_2Enum,axiom,
! [X148: $i] :
( ( mem @ X148 @ ty_2Enum_2Enum )
=> ( X148
= ( inj__ty_2Enum_2Enum @ ( surj__ty_2Enum_2Enum @ X148 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.cyR81DKkDq/E---3.1_3621669.p',stp_iso_mem_ty_2Enum_2Enum) ).
thf(ax_thm_2Earithmetic_2EALT__ZERO,axiom,
fo__c_2Earithmetic_2EZERO = fo__c_2Enum_2E0,
file('/export/starexec/sandbox2/tmp/tmp.cyR81DKkDq/E---3.1_3621669.p',ax_thm_2Earithmetic_2EALT__ZERO) ).
thf(mem_c_2Earithmetic_2E_2D,axiom,
mem @ c_2Earithmetic_2E_2D @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ),
file('/export/starexec/sandbox2/tmp/tmp.cyR81DKkDq/E---3.1_3621669.p',mem_c_2Earithmetic_2E_2D) ).
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.cyR81DKkDq/E---3.1_3621669.p',stp_inj_mem_ty_2Enum_2Enum) ).
thf(conj_thm_2Ewords_2En2w__sub__eq__0,axiom,
! [X13: del,X18485: tp__ty_2Enum_2Enum,X18486: tp__ty_2Enum_2Enum] :
( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ X18485 ) ) @ ( inj__ty_2Enum_2Enum @ X18486 ) ) )
=> ( ( ap @ ( c_2Ewords_2En2w @ X13 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X18485 ) ) @ ( inj__ty_2Enum_2Enum @ X18486 ) ) )
= ( ap @ ( c_2Ewords_2En2w @ X13 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.cyR81DKkDq/E---3.1_3621669.p',conj_thm_2Ewords_2En2w__sub__eq__0) ).
thf(conj_thm_2Earithmetic_2ESUB__EQ__0,axiom,
! [X473: tp__ty_2Enum_2Enum,X160: tp__ty_2Enum_2Enum] :
( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X473 ) ) @ ( inj__ty_2Enum_2Enum @ X160 ) ) )
= fo__c_2Enum_2E0 )
<=> ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ X473 ) ) @ ( inj__ty_2Enum_2Enum @ X160 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.cyR81DKkDq/E---3.1_3621669.p',conj_thm_2Earithmetic_2ESUB__EQ__0) ).
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.cyR81DKkDq/E---3.1_3621669.p',mem_c_2Ewords_2En2w) ).
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.cyR81DKkDq/E---3.1_3621669.p',conj_thm_2Einteger__word_2Eword__0__w2i) ).
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.cyR81DKkDq/E---3.1_3621669.p',stp_iso_mem_ty_2Einteger_2Eint) ).
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.cyR81DKkDq/E---3.1_3621669.p',mem_c_2Einteger__word_2Ew2i) ).
thf(stp_inj_surj_ty_2Enum_2Enum,axiom,
! [X146: tp__ty_2Enum_2Enum] :
( ( surj__ty_2Enum_2Enum @ ( inj__ty_2Enum_2Enum @ X146 ) )
= X146 ),
file('/export/starexec/sandbox2/tmp/tmp.cyR81DKkDq/E---3.1_3621669.p',stp_inj_surj_ty_2Enum_2Enum) ).
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.cyR81DKkDq/E---3.1_3621669.p',conj_thm_2Einteger__word_2Ei2w__0) ).
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.cyR81DKkDq/E---3.1_3621669.p',conj_thm_2Einteger__word_2Ei2w__w2i) ).
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.cyR81DKkDq/E---3.1_3621669.p',mem_c_2Einteger_2Eint__of__num) ).
thf(c_0_16,plain,
! [X24131: tp__ty_2Enum_2Enum] :
( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) @ ( inj__ty_2Enum_2Enum @ X24131 ) ) )
= fo__c_2Enum_2E0 )
& ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X24131 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
= X24131 ) ),
inference(variable_rename,[status(thm)],[conj_thm_2Earithmetic_2ESUB__0]) ).
thf(c_0_17,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_18,plain,
! [X24123: $i] :
( ~ ( mem @ X24123 @ ty_2Enum_2Enum )
| ( X24123
= ( inj__ty_2Enum_2Enum @ ( surj__ty_2Enum_2Enum @ X24123 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[stp_iso_mem_ty_2Enum_2Enum])])]) ).
thf(c_0_19,plain,
! [X146: tp__ty_2Enum_2Enum] :
( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X146 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
= X146 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_20,plain,
fo__c_2Earithmetic_2EZERO = fo__c_2Enum_2E0,
inference(split_conjunct,[status(thm)],[ax_thm_2Earithmetic_2EALT__ZERO]) ).
thf(c_0_21,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_17]) ).
thf(c_0_22,plain,
mem @ c_2Earithmetic_2E_2D @ ( arr @ ty_2Enum_2Enum @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) ),
inference(split_conjunct,[status(thm)],[mem_c_2Earithmetic_2E_2D]) ).
thf(c_0_23,plain,
! [X2: $i] :
( ( X2
= ( inj__ty_2Enum_2Enum @ ( surj__ty_2Enum_2Enum @ X2 ) ) )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_24,plain,
! [X146: tp__ty_2Enum_2Enum] :
( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X146 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
= X146 ),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_25,plain,
! [X2: $i] :
( ( mem @ ( ap @ c_2Earithmetic_2E_2D @ X2 ) @ ( arr @ ty_2Enum_2Enum @ ty_2Enum_2Enum ) )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_26,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_27,plain,
! [X23382: del,X23383: tp__ty_2Enum_2Enum,X23384: tp__ty_2Enum_2Enum] :
( ~ ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ X23383 ) ) @ ( inj__ty_2Enum_2Enum @ X23384 ) ) )
| ( ( ap @ ( c_2Ewords_2En2w @ X23382 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X23383 ) ) @ ( inj__ty_2Enum_2Enum @ X23384 ) ) )
= ( ap @ ( c_2Ewords_2En2w @ X23382 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ewords_2En2w__sub__eq__0])])]) ).
thf(c_0_28,plain,
! [X146: tp__ty_2Enum_2Enum] :
( ( ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X146 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) )
= ( inj__ty_2Enum_2Enum @ X146 ) )
| ~ ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X146 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ty_2Enum_2Enum ) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
thf(c_0_29,plain,
! [X5: $i,X2: $i] :
( ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X2 ) @ X5 ) @ ty_2Enum_2Enum )
| ~ ( mem @ X5 @ ty_2Enum_2Enum )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) ),
inference(spm,[status(thm)],[c_0_21,c_0_25]) ).
thf(c_0_30,plain,
! [X146: tp__ty_2Enum_2Enum] : ( mem @ ( inj__ty_2Enum_2Enum @ X146 ) @ ty_2Enum_2Enum ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_31,plain,
! [X24134: tp__ty_2Enum_2Enum,X24135: tp__ty_2Enum_2Enum] :
( ( ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X24134 ) ) @ ( inj__ty_2Enum_2Enum @ X24135 ) ) )
!= fo__c_2Enum_2E0 )
| ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ X24134 ) ) @ ( inj__ty_2Enum_2Enum @ X24135 ) ) ) )
& ( ~ ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ X24134 ) ) @ ( inj__ty_2Enum_2Enum @ X24135 ) ) )
| ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X24134 ) ) @ ( inj__ty_2Enum_2Enum @ X24135 ) ) )
= fo__c_2Enum_2E0 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Earithmetic_2ESUB__EQ__0])])]) ).
thf(c_0_32,plain,
! [X3: del,X146: tp__ty_2Enum_2Enum,X147: tp__ty_2Enum_2Enum] :
( ( ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X146 ) ) @ ( inj__ty_2Enum_2Enum @ X147 ) ) )
= ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ X146 ) ) @ ( inj__ty_2Enum_2Enum @ X147 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_33,plain,
! [X146: tp__ty_2Enum_2Enum] :
( ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X146 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) )
= ( inj__ty_2Enum_2Enum @ X146 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_30])]) ).
thf(c_0_34,plain,
! [X146: tp__ty_2Enum_2Enum,X147: tp__ty_2Enum_2Enum] :
( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ X146 ) ) @ ( inj__ty_2Enum_2Enum @ X147 ) ) )
| ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X146 ) ) @ ( inj__ty_2Enum_2Enum @ X147 ) ) )
!= fo__c_2Enum_2E0 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_35,plain,
! [X3: del,X146: tp__ty_2Enum_2Enum,X147: tp__ty_2Enum_2Enum] :
( ( ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X146 ) ) @ ( inj__ty_2Enum_2Enum @ X147 ) ) )
= ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ X146 ) ) @ ( inj__ty_2Enum_2Enum @ X147 ) ) ) ),
inference(rw,[status(thm)],[c_0_32,c_0_20]) ).
thf(c_0_36,plain,
! [X2: $i] :
( ( ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X2 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) )
= X2 )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) ),
inference(spm,[status(thm)],[c_0_33,c_0_23]) ).
thf(c_0_37,plain,
! [X146: tp__ty_2Enum_2Enum,X147: tp__ty_2Enum_2Enum] :
( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ X146 ) ) @ ( inj__ty_2Enum_2Enum @ X147 ) ) )
| ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X146 ) ) @ ( inj__ty_2Enum_2Enum @ X147 ) ) )
!= fo__c_2Earithmetic_2EZERO ) ),
inference(rw,[status(thm)],[c_0_34,c_0_20]) ).
thf(c_0_38,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_39,plain,
! [X3: del,X146: tp__ty_2Enum_2Enum] :
( ( ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ X146 ) )
= ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ X146 ) ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_30])]) ).
thf(c_0_40,plain,
! [X146: tp__ty_2Enum_2Enum,X2: $i] :
( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ X2 ) @ ( inj__ty_2Enum_2Enum @ X146 ) ) )
| ( ( surj__ty_2Enum_2Enum @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ X2 ) @ ( inj__ty_2Enum_2Enum @ X146 ) ) )
!= fo__c_2Earithmetic_2EZERO )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) ),
inference(spm,[status(thm)],[c_0_37,c_0_23]) ).
thf(c_0_41,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_42,plain,
! [X3: del] : ( mem @ ( c_2Ewords_2En2w @ X3 ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Efcp_2Ecart @ bool @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
thf(c_0_43,plain,
! [X3: del,X2: $i] :
( ( ( ap @ ( c_2Ewords_2En2w @ X3 ) @ X2 )
= ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ X2 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) ),
inference(spm,[status(thm)],[c_0_39,c_0_23]) ).
thf(c_0_44,plain,
! [X2: $i] :
( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ X2 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
| ( ( surj__ty_2Enum_2Enum @ X2 )
!= fo__c_2Earithmetic_2EZERO )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) ),
inference(spm,[status(thm)],[c_0_40,c_0_36]) ).
thf(c_0_45,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_46,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_41]) ).
thf(c_0_47,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_48,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_21,c_0_42]) ).
thf(c_0_49,plain,
! [X3: del,X2: $i] :
( ( ( ap @ ( c_2Ewords_2En2w @ X3 ) @ X2 )
= ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
| ( ( surj__ty_2Enum_2Enum @ X2 )
!= fo__c_2Earithmetic_2EZERO )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
thf(c_0_50,plain,
! [X24122: tp__ty_2Enum_2Enum] :
( ( surj__ty_2Enum_2Enum @ ( inj__ty_2Enum_2Enum @ X24122 ) )
= X24122 ),
inference(variable_rename,[status(thm)],[stp_inj_surj_ty_2Enum_2Enum]) ).
thf(c_0_51,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_45]) ).
thf(c_0_52,plain,
! [X3: del] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( c_2Einteger__word_2Ew2i @ X3 ) @ ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_20]),c_0_20]) ).
thf(c_0_53,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_47]) ).
thf(c_0_54,plain,
! [X3: del,X2: $i] :
( ( mem @ ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( ty_2Efcp_2Ecart @ bool @ X3 ) )
| ( ( surj__ty_2Enum_2Enum @ X2 )
!= fo__c_2Earithmetic_2EZERO )
| ~ ( mem @ X2 @ ty_2Enum_2Enum ) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
thf(c_0_55,plain,
! [X146: tp__ty_2Enum_2Enum] :
( ( surj__ty_2Enum_2Enum @ ( inj__ty_2Enum_2Enum @ X146 ) )
= X146 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
thf(c_0_56,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_57,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_58,plain,
! [X3: del] :
( ( ( ap @ ( c_2Einteger__word_2Ew2i @ X3 ) @ ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
= ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
| ~ ( mem @ ( ap @ ( c_2Einteger__word_2Ew2i @ X3 ) @ ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) @ ty_2Einteger_2Eint ) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
thf(c_0_59,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_21,c_0_53]) ).
thf(c_0_60,plain,
! [X3: del] : ( mem @ ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ( ty_2Efcp_2Ecart @ bool @ X3 ) ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_30])])]) ).
thf(c_0_61,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_56])])])]) ).
thf(c_0_62,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_57]) ).
thf(c_0_63,plain,
! [X3: del] :
( ( ap @ ( c_2Einteger__word_2Ew2i @ X3 ) @ ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
= ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
thf(c_0_64,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_61]) ).
thf(c_0_65,plain,
! [X3: del] :
( ( ap @ ( c_2Einteger__word_2Ei2w @ X3 ) @ ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ) ) )
= ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_60])]) ).
thf(c_0_66,negated_conjecture,
( ( ap @ ( c_2Einteger__word_2Ei2w @ esk1_0 ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
!= ( ap @ ( c_2Ewords_2En2w @ esk1_0 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_20]),c_0_20]) ).
thf(c_0_67,plain,
! [X3: del] :
( ( ( ap @ ( c_2Einteger__word_2Ei2w @ X3 ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
= ( ap @ ( c_2Ewords_2En2w @ X3 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) )
| ~ ( mem @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ty_2Einteger_2Eint ) ),
inference(spm,[status(thm)],[c_0_65,c_0_51]) ).
thf(c_0_68,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_69,negated_conjecture,
~ ( mem @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Earithmetic_2EZERO ) ) @ ty_2Einteger_2Eint ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
thf(c_0_70,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_21,c_0_68]) ).
thf(c_0_71,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP015^5 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n008.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 19:30:58 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 5.25/5.37 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.cyR81DKkDq/E---3.1_3621669.p
% 54.41/13.96 % Version: 3.5.1-ho
% 54.41/13.96 % Preprocessing class: HMLLSMLLSSLNSFA.
% 54.41/13.96 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 54.41/13.96 % Starting new_bool_8 with 1196s (4) cores
% 54.41/13.96 % Starting post_as_ho5 with 598s (2) cores
% 54.41/13.96 % Starting new_bool_9 with 299s (1) cores
% 54.41/13.96 % Starting new_bool_3 with 299s (1) cores
% 54.41/13.96 % post_as_ho5 with pid 3621683 completed with status 0
% 54.41/13.96 % Result found by post_as_ho5
% 54.41/13.96 % Preprocessing class: HMLLSMLLSSLNSFA.
% 54.41/13.96 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 54.41/13.96 % Starting new_bool_8 with 1196s (4) cores
% 54.41/13.96 % Starting post_as_ho5 with 598s (2) cores
% 54.41/13.96 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true))
% 54.41/13.96 % SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)
% 54.41/13.96 % Search class: HGHSM-SMLM32-DSFFFFNN
% 54.41/13.96 % partial match(1): HGHSM-SMLM32-DSFFFFBN
% 54.41/13.96 % Scheduled 7 strats onto 2 cores with 598 seconds (598 total)
% 54.41/13.96 % Starting SubtermCWHack with 54s (1) cores
% 54.41/13.96 % Starting post_as_ho5 with 60s (1) cores
% 54.41/13.96 % post_as_ho5 with pid 3621688 completed with status 0
% 54.41/13.96 % Result found by post_as_ho5
% 54.41/13.96 % Preprocessing class: HMLLSMLLSSLNSFA.
% 54.41/13.96 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 54.41/13.96 % Starting new_bool_8 with 1196s (4) cores
% 54.41/13.96 % Starting post_as_ho5 with 598s (2) cores
% 54.41/13.96 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true))
% 54.41/13.96 % SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)
% 54.41/13.96 % Search class: HGHSM-SMLM32-DSFFFFNN
% 54.41/13.96 % partial match(1): HGHSM-SMLM32-DSFFFFBN
% 54.41/13.96 % Scheduled 7 strats onto 2 cores with 598 seconds (598 total)
% 54.41/13.96 % Starting SubtermCWHack with 54s (1) cores
% 54.41/13.96 % Starting post_as_ho5 with 60s (1) cores
% 54.41/13.96 % Preprocessing time : 0.062 s
% 54.41/13.96 % Presaturation interreduction done
% 54.41/13.96
% 54.41/13.96 % Proof found!
% 54.41/13.96 % SZS status Theorem
% 54.41/13.96 % SZS output start CNFRefutation
% See solution above
% 54.41/13.96 % Parsed axioms : 13423
% 54.41/13.96 % Removed by relevancy pruning/SinE : 12713
% 54.41/13.96 % Initial clauses : 2451
% 54.41/13.96 % Removed in clause preprocessing : 1054
% 54.41/13.96 % Initial clauses in saturation : 1397
% 54.41/13.96 % Processed clauses : 11835
% 54.41/13.96 % ...of these trivial : 122
% 54.41/13.96 % ...subsumed : 7036
% 54.41/13.96 % ...remaining for further processing : 4677
% 54.41/13.96 % Other redundant clauses eliminated : 1799
% 54.41/13.96 % Clauses deleted for lack of memory : 0
% 54.41/13.96 % Backward-subsumed : 131
% 54.41/13.96 % Backward-rewritten : 108
% 54.41/13.96 % Generated clauses : 137097
% 54.41/13.96 % ...of the previous two non-redundant : 130407
% 54.41/13.96 % ...aggressively subsumed : 0
% 54.41/13.96 % Contextual simplify-reflections : 56
% 54.41/13.96 % Paramodulations : 135245
% 54.41/13.96 % Factorizations : 6
% 54.41/13.96 % NegExts : 0
% 54.41/13.96 % Equation resolutions : 1827
% 54.41/13.96 % Disequality decompositions : 0
% 54.41/13.96 % Total rewrite steps : 18750
% 54.41/13.96 % ...of those cached : 17844
% 54.41/13.96 % Propositional unsat checks : 2
% 54.41/13.96 % Propositional check models : 1
% 54.41/13.96 % Propositional check unsatisfiable : 0
% 54.41/13.96 % Propositional clauses : 0
% 54.41/13.96 % Propositional clauses after purity: 0
% 54.41/13.96 % Propositional unsat core size : 0
% 54.41/13.96 % Propositional preprocessing time : 0.000
% 54.41/13.96 % Propositional encoding time : 0.272
% 54.41/13.96 % Propositional solver time : 0.059
% 54.41/13.96 % Success case prop preproc time : 0.000
% 54.41/13.96 % Success case prop encoding time : 0.000
% 54.41/13.96 % Success case prop solver time : 0.000
% 54.41/13.96 % Current number of processed clauses : 3103
% 54.41/13.96 % Positive orientable unit clauses : 336
% 54.41/13.96 % Positive unorientable unit clauses: 6
% 54.41/13.96 % Negative unit clauses : 118
% 54.41/13.96 % Non-unit-clauses : 2643
% 54.41/13.96 % Current number of unprocessed clauses: 120814
% 54.41/13.96 % ...number of literals in the above : 683481
% 54.41/13.96 % Current number of archived formulas : 0
% 54.41/13.96 % Current number of archived clauses : 1482
% 54.41/13.96 % Clause-clause subsumption calls (NU) : 661219
% 54.41/13.96 % Rec. Clause-clause subsumption calls : 190227
% 54.41/13.96 % Non-unit clause-clause subsumptions : 5506
% 54.41/13.96 % Unit Clause-clause subsumption calls : 9890
% 54.41/13.96 % Rewrite failures with RHS unbound : 0
% 54.41/13.96 % BW rewrite match attempts : 20352
% 54.41/13.96 % BW rewrite match successes : 122
% 54.41/13.96 % Condensation attempts : 0
% 54.41/13.96 % Condensation successes : 0
% 54.41/13.96 % Termbank termtop insertions : 22009202
% 54.41/13.96 % Search garbage collected termcells : 338392
% 54.41/13.96
% 54.41/13.96 % -------------------------------------------------
% 54.41/13.96 % User time : 6.775 s
% 54.41/13.96 % System time : 0.284 s
% 54.41/13.96 % Total time : 7.059 s
% 54.41/13.96 % Maximum resident set size: 65384 pages
% 54.41/13.96
% 54.41/13.96 % -------------------------------------------------
% 54.41/13.96 % User time : 14.326 s
% 54.41/13.96 % System time : 0.526 s
% 54.41/13.96 % Total time : 14.852 s
% 54.41/13.96 % Maximum resident set size: 59136 pages
% 54.41/13.96 % E exiting
%------------------------------------------------------------------------------