%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP012^2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 08:04:01 AM UTC 2026
% Result : Theorem 3.20s 0.72s
% Output : CNFRefutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 70 ( 39 unt; 0 typ; 0 def)
% Number of atoms : 147 ( 33 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 976 ( 50 ~; 48 |; 9 &; 856 @)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 20 usr; 12 con; 0-2 aty)
% Number of variables : 100 ( 0 ^; 100 !; 0 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
del: $tType ).
thf(decl_sort2,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_30,type,
inj__o: $o > $i ).
thf(decl_31,type,
c_2Ebool_2ET: $i ).
thf(decl_33,type,
ty_2Einteger_2Eint: del ).
thf(decl_34,type,
inj__ty_2Einteger_2Eint: tp__ty_2Einteger_2Eint > $i ).
thf(decl_35,type,
surj__ty_2Einteger_2Eint: $i > tp__ty_2Einteger_2Eint ).
thf(decl_36,type,
c_2Einteger_2Eint__sub: $i ).
thf(decl_37,type,
fo__c_2Einteger_2Eint__sub: tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint ).
thf(decl_38,type,
c_2Einteger_2Eint__add: $i ).
thf(decl_39,type,
fo__c_2Einteger_2Eint__add: tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint ).
thf(decl_40,type,
c_2Einteger_2Eint__neg: $i ).
thf(decl_41,type,
fo__c_2Einteger_2Eint__neg: tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint ).
thf(decl_42,type,
c_2Einteger_2Eint__divides: $i ).
thf(decl_64,type,
esk10_0: tp__ty_2Einteger_2Eint ).
thf(decl_65,type,
esk11_0: tp__ty_2Einteger_2Eint ).
thf(decl_66,type,
esk12_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/sandbox/tmp/tmp.kMvtb5fo0G/E---3.1_3995869.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/sandbox/tmp/tmp.kMvtb5fo0G/E---3.1_3995869.p',stp_eq_fo_c_2Einteger_2Eint__sub) ).
thf(stp_inj_mem_ty_2Einteger_2Eint,axiom,
! [X17: tp__ty_2Einteger_2Eint] : ( mem @ ( inj__ty_2Einteger_2Eint @ X17 ) @ ty_2Einteger_2Eint ),
file('/export/starexec/sandbox/tmp/tmp.kMvtb5fo0G/E---3.1_3995869.p',stp_inj_mem_ty_2Einteger_2Eint) ).
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/sandbox/tmp/tmp.kMvtb5fo0G/E---3.1_3995869.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/sandbox/tmp/tmp.kMvtb5fo0G/E---3.1_3995869.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/sandbox/tmp/tmp.kMvtb5fo0G/E---3.1_3995869.p',stp_eq_fo_c_2Einteger_2Eint__neg) ).
thf(stp_iso_mem_ty_2Einteger_2Eint,axiom,
! [X18: $i] :
( ( mem @ X18 @ ty_2Einteger_2Eint )
=> ( X18
= ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ X18 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.kMvtb5fo0G/E---3.1_3995869.p',stp_iso_mem_ty_2Einteger_2Eint) ).
thf(stp_iso_mem_o,axiom,
! [X2: $i] :
( ( mem @ X2 @ bool )
=> ( X2
= ( inj__o @ ( p @ X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.kMvtb5fo0G/E---3.1_3995869.p',stp_iso_mem_o) ).
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/sandbox/tmp/tmp.kMvtb5fo0G/E---3.1_3995869.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).
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/sandbox/tmp/tmp.kMvtb5fo0G/E---3.1_3995869.p',conj_thm_2Einteger_2EINT__DIVIDES__RADD) ).
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/sandbox/tmp/tmp.kMvtb5fo0G/E---3.1_3995869.p',ap_tp) ).
thf(mem_c_2Ebool_2ET,axiom,
mem @ c_2Ebool_2ET @ bool,
file('/export/starexec/sandbox/tmp/tmp.kMvtb5fo0G/E---3.1_3995869.p',mem_c_2Ebool_2ET) ).
thf(ax_true_p,axiom,
p @ c_2Ebool_2ET,
file('/export/starexec/sandbox/tmp/tmp.kMvtb5fo0G/E---3.1_3995869.p',ax_true_p) ).
thf(mem_c_2Einteger_2Eint__divides,axiom,
mem @ c_2Einteger_2Eint__divides @ ( arr @ ty_2Einteger_2Eint @ ( arr @ ty_2Einteger_2Eint @ bool ) ),
file('/export/starexec/sandbox/tmp/tmp.kMvtb5fo0G/E---3.1_3995869.p',mem_c_2Einteger_2Eint__divides) ).
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/sandbox/tmp/tmp.kMvtb5fo0G/E---3.1_3995869.p',conj_thm_2Einteger_2EINT__DIVIDES__NEG) ).
thf(c_0_15,plain,
! [X181: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ X181 ) )
= X181 ),
inference(variable_rename,[status(thm)],[stp_inj_surj_ty_2Einteger_2Eint]) ).
thf(c_0_16,plain,
! [X184: tp__ty_2Einteger_2Eint,X185: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ X184 @ X185 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X184 ) ) @ ( inj__ty_2Einteger_2Eint @ X185 ) ) ),
inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Einteger_2Eint__sub]) ).
thf(c_0_17,plain,
! [X182: tp__ty_2Einteger_2Eint] : ( mem @ ( inj__ty_2Einteger_2Eint @ X182 ) @ ty_2Einteger_2Eint ),
inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Einteger_2Eint]) ).
thf(c_0_18,plain,
! [X186: tp__ty_2Einteger_2Eint,X187: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X186 @ X187 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X186 ) ) @ ( inj__ty_2Einteger_2Eint @ X187 ) ) ),
inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Einteger_2Eint__add]) ).
thf(c_0_19,plain,
! [X230: tp__ty_2Einteger_2Eint,X231: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X230 ) ) @ ( inj__ty_2Einteger_2Eint @ X231 ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X230 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X231 ) ) ) ) ),
inference(variable_rename,[status(thm)],[ax_thm_2Einteger_2Eint__sub]) ).
thf(c_0_20,plain,
! [X16: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ X16 ) )
= X16 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_21,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_16]) ).
thf(c_0_22,plain,
! [X16: tp__ty_2Einteger_2Eint] : ( mem @ ( inj__ty_2Einteger_2Eint @ X16 ) @ ty_2Einteger_2Eint ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_23,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_18]) ).
thf(c_0_24,plain,
! [X188: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X188 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X188 ) ) ),
inference(variable_rename,[status(thm)],[stp_eq_fo_c_2Einteger_2Eint__neg]) ).
thf(c_0_25,plain,
! [X183: $i] :
( ~ ( mem @ X183 @ ty_2Einteger_2Eint )
| ( X183
= ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ X183 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[stp_iso_mem_ty_2Einteger_2Eint])])]) ).
thf(c_0_26,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_19]) ).
thf(c_0_27,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_20,c_0_21]) ).
thf(c_0_28,plain,
! [X16: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint] : ( mem @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( inj__ty_2Einteger_2Eint @ X17 ) ) @ ty_2Einteger_2Eint ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_29,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_24]) ).
thf(c_0_30,axiom,
! [X2: $i] :
( ( mem @ X2 @ bool )
=> ( ( ~ ( p @ X2 )
| ( X2
= ( inj__o @ $true ) ) )
& ( ( p @ X2 )
| ( X2
= ( inj__o @ $false ) ) ) ) ),
inference(fool_unroll,[status(thm)],[stp_iso_mem_o]) ).
thf(c_0_31,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_32,plain,
! [X232: tp__ty_2Einteger_2Eint,X233: tp__ty_2Einteger_2Eint,X234: tp__ty_2Einteger_2Eint] :
( ( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X232 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X234 ) ) @ ( inj__ty_2Einteger_2Eint @ X233 ) ) ) )
| ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X232 ) ) @ ( inj__ty_2Einteger_2Eint @ X234 ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X232 ) ) @ ( inj__ty_2Einteger_2Eint @ X233 ) ) ) )
& ( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X232 ) ) @ ( inj__ty_2Einteger_2Eint @ X234 ) ) )
| ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X232 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X234 ) ) @ ( inj__ty_2Einteger_2Eint @ X233 ) ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X232 ) ) @ ( inj__ty_2Einteger_2Eint @ X233 ) ) ) ) ),
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_33,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_25]) ).
thf(c_0_34,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_26,c_0_27]) ).
thf(c_0_35,plain,
! [X16: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint] : ( mem @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X17 ) ) ) @ ty_2Einteger_2Eint ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
thf(c_0_36,plain,
! [X159: $i] :
( ( ~ ( p @ X159 )
| ( X159
= ( inj__o @ $true ) )
| ~ ( mem @ X159 @ bool ) )
& ( ( p @ X159 )
| ( X159
= ( inj__o @ $false ) )
| ~ ( mem @ X159 @ bool ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).
thf(c_0_37,plain,
! [X160: del,X161: del,X162: $i,X163: $i] :
( ~ ( mem @ X162 @ ( arr @ X160 @ X161 ) )
| ~ ( mem @ X163 @ X160 )
| ( mem @ ( ap @ X162 @ X163 ) @ X161 ) ),
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_38,negated_conjecture,
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk11_0 ) ) )
& ( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ esk12_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk11_0 ) ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk12_0 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ esk12_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk11_0 ) ) ) )
| ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk12_0 ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).
thf(c_0_39,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_32]) ).
thf(c_0_40,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_21]),c_0_35])]) ).
thf(c_0_41,plain,
! [X2: $i] :
( ( X2
= ( inj__o @ $true ) )
| ~ ( p @ X2 )
| ~ ( mem @ X2 @ bool ) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
thf(c_0_42,plain,
mem @ c_2Ebool_2ET @ bool,
inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2ET]) ).
thf(c_0_43,plain,
p @ c_2Ebool_2ET,
inference(split_conjunct,[status(thm)],[ax_true_p]) ).
thf(c_0_44,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_37]) ).
thf(c_0_45,plain,
mem @ c_2Einteger_2Eint__divides @ ( arr @ ty_2Einteger_2Eint @ ( arr @ ty_2Einteger_2Eint @ bool ) ),
inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__divides]) ).
thf(c_0_46,negated_conjecture,
( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ esk12_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk11_0 ) ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk12_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
thf(c_0_47,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_39,c_0_29]),c_0_40]) ).
thf(c_0_48,plain,
! [X235: tp__ty_2Einteger_2Eint,X236: tp__ty_2Einteger_2Eint] :
( ( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X235 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X236 ) ) ) )
| ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X235 ) ) @ ( inj__ty_2Einteger_2Eint @ X236 ) ) ) )
& ( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X235 ) ) @ ( inj__ty_2Einteger_2Eint @ X236 ) ) )
| ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X235 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X236 ) ) ) ) )
& ( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X235 ) ) ) @ ( inj__ty_2Einteger_2Eint @ X236 ) ) )
| ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X235 ) ) @ ( inj__ty_2Einteger_2Eint @ X236 ) ) ) )
& ( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X235 ) ) @ ( inj__ty_2Einteger_2Eint @ X236 ) ) )
| ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X235 ) ) ) @ ( inj__ty_2Einteger_2Eint @ X236 ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__DIVIDES__NEG])])]) ).
thf(c_0_49,plain,
( ( inj__o @ $true )
= c_2Ebool_2ET ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
thf(c_0_50,plain,
! [X2: $i] :
( ( mem @ ( ap @ c_2Einteger_2Eint__divides @ X2 ) @ ( arr @ ty_2Einteger_2Eint @ bool ) )
| ~ ( mem @ X2 @ ty_2Einteger_2Eint ) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
thf(c_0_51,negated_conjecture,
( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ esk11_0 ) ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk12_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
thf(c_0_52,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_48]) ).
thf(c_0_53,negated_conjecture,
p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk11_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
thf(c_0_54,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_32]) ).
thf(c_0_55,plain,
! [X2: $i] :
( ( X2 = c_2Ebool_2ET )
| ~ ( mem @ X2 @ bool )
| ~ ( p @ X2 ) ),
inference(rw,[status(thm)],[c_0_41,c_0_49]) ).
thf(c_0_56,plain,
! [X5: $i,X2: $i] :
( ( mem @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ X2 ) @ X5 ) @ bool )
| ~ ( mem @ X5 @ ty_2Einteger_2Eint )
| ~ ( mem @ X2 @ ty_2Einteger_2Eint ) ),
inference(spm,[status(thm)],[c_0_44,c_0_50]) ).
thf(c_0_57,negated_conjecture,
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ esk12_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk11_0 ) ) ) )
| ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk12_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
thf(c_0_58,negated_conjecture,
~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk12_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
thf(c_0_59,plain,
! [X17: tp__ty_2Einteger_2Eint,X16: tp__ty_2Einteger_2Eint,X2: $i] :
( ( 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 ) ) @ X2 ) ) )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ X2 ) )
| ~ ( mem @ X2 @ ty_2Einteger_2Eint ) ),
inference(spm,[status(thm)],[c_0_54,c_0_33]) ).
thf(c_0_60,plain,
! [X16: tp__ty_2Einteger_2Eint] : ( mem @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ty_2Einteger_2Eint ),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
thf(c_0_61,plain,
! [X5: $i,X2: $i] :
( ( ( ap @ ( ap @ c_2Einteger_2Eint__divides @ X2 ) @ X5 )
= c_2Ebool_2ET )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ X2 ) @ X5 ) )
| ~ ( mem @ X5 @ ty_2Einteger_2Eint )
| ~ ( mem @ X2 @ ty_2Einteger_2Eint ) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
thf(c_0_62,negated_conjecture,
p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ esk12_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk11_0 ) ) ),
inference(sr,[status(thm)],[c_0_57,c_0_58]) ).
thf(c_0_63,plain,
! [X16: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint] : ( mem @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( inj__ty_2Einteger_2Eint @ X17 ) ) @ ty_2Einteger_2Eint ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
thf(c_0_64,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_40]),c_0_60])]) ).
thf(c_0_65,negated_conjecture,
( ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ esk12_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk11_0 ) ) )
= c_2Ebool_2ET ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_22])]) ).
thf(c_0_66,negated_conjecture,
~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ esk11_0 ) ) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_43])]),c_0_58]) ).
thf(c_0_67,plain,
! [X16: tp__ty_2Einteger_2Eint,X17: tp__ty_2Einteger_2Eint] :
( ( ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X17 ) ) )
= c_2Ebool_2ET )
| ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X16 ) ) @ ( inj__ty_2Einteger_2Eint @ X17 ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_52]),c_0_60]),c_0_22])]) ).
thf(c_0_68,negated_conjecture,
( ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ esk10_0 ) ) @ ( inj__ty_2Einteger_2Eint @ esk11_0 ) )
= c_2Ebool_2ET ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_53]),c_0_22]),c_0_22])]) ).
thf(c_0_69,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_43]),c_0_68]),c_0_43])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP012^2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 19:30:33 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.kMvtb5fo0G/E---3.1_3995869.p
% 3.20/0.72 % Version: 3.5.1-ho
% 3.20/0.72 % Preprocessing class: HSLSSMSMSSSNSFA.
% 3.20/0.72 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 3.20/0.72 % Starting new_ho_10 with 900s (3) cores
% 3.20/0.72 % Starting sh2lt with 300s (1) cores
% 3.20/0.72 % Starting new_ho_5 with 300s (1) cores
% 3.20/0.72 % Starting full_lambda_5 with 300s (1) cores
% 3.20/0.72 % Starting sh9 with 300s (1) cores
% 3.20/0.72 % Starting ehoh_best8_lambda with 300s (1) cores
% 3.20/0.72 % new_ho_10 with pid 3995882 completed with status 0
% 3.20/0.72 % Result found by new_ho_10
% 3.20/0.72 % Preprocessing class: HSLSSMSMSSSNSFA.
% 3.20/0.72 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 3.20/0.72 % Starting new_ho_10 with 900s (3) cores
% 3.20/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.20/0.72 % No SInE strategy applied
% 3.20/0.72 % Search class: HGHSM-FFLM31-MSFFFFBN
% 3.20/0.72 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 3.20/0.72 % Starting SubtermCWHack with 82s (1) cores
% 3.20/0.72 % Starting new_ho_10 with 91s (1) cores
% 3.20/0.72 % Starting new_ho_3 with 82s (1) cores
% 3.20/0.72 % new_ho_10 with pid 3995891 completed with status 0
% 3.20/0.72 % Result found by new_ho_10
% 3.20/0.72 % Preprocessing class: HSLSSMSMSSSNSFA.
% 3.20/0.72 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 3.20/0.72 % Starting new_ho_10 with 900s (3) cores
% 3.20/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.20/0.72 % No SInE strategy applied
% 3.20/0.72 % Search class: HGHSM-FFLM31-MSFFFFBN
% 3.20/0.72 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 3.20/0.72 % Starting SubtermCWHack with 82s (1) cores
% 3.20/0.72 % Starting new_ho_10 with 91s (1) cores
% 3.20/0.72 % Preprocessing time : 0.003 s
% 3.20/0.72 % Presaturation interreduction done
% 3.20/0.72
% 3.20/0.72 % Proof found!
% 3.20/0.72 % SZS status Theorem
% 3.20/0.72 % SZS output start CNFRefutation
% See solution above
% 3.20/0.72 % Parsed axioms : 90
% 3.20/0.72 % Removed by relevancy pruning/SinE : 0
% 3.20/0.72 % Initial clauses : 384
% 3.20/0.72 % Removed in clause preprocessing : 278
% 3.20/0.72 % Initial clauses in saturation : 106
% 3.20/0.72 % Processed clauses : 803
% 3.20/0.72 % ...of these trivial : 18
% 3.20/0.72 % ...subsumed : 105
% 3.20/0.72 % ...remaining for further processing : 680
% 3.20/0.72 % Other redundant clauses eliminated : 1
% 3.20/0.72 % Clauses deleted for lack of memory : 0
% 3.20/0.72 % Backward-subsumed : 13
% 3.20/0.72 % Backward-rewritten : 37
% 3.20/0.72 % Generated clauses : 9328
% 3.20/0.72 % ...of the previous two non-redundant : 8890
% 3.20/0.72 % ...aggressively subsumed : 0
% 3.20/0.72 % Contextual simplify-reflections : 1
% 3.20/0.72 % Paramodulations : 9322
% 3.20/0.72 % Factorizations : 3
% 3.20/0.72 % NegExts : 0
% 3.20/0.72 % Equation resolutions : 2
% 3.20/0.72 % Disequality decompositions : 0
% 3.20/0.72 % Total rewrite steps : 1592
% 3.20/0.72 % ...of those cached : 1468
% 3.20/0.72 % Propositional unsat checks : 0
% 3.20/0.72 % Propositional check models : 0
% 3.20/0.72 % Propositional check unsatisfiable : 0
% 3.20/0.72 % Propositional clauses : 0
% 3.20/0.72 % Propositional clauses after purity: 0
% 3.20/0.72 % Propositional unsat core size : 0
% 3.20/0.72 % Propositional preprocessing time : 0.000
% 3.20/0.72 % Propositional encoding time : 0.000
% 3.20/0.72 % Propositional solver time : 0.000
% 3.20/0.72 % Success case prop preproc time : 0.000
% 3.20/0.72 % Success case prop encoding time : 0.000
% 3.20/0.72 % Success case prop solver time : 0.000
% 3.20/0.72 % Current number of processed clauses : 540
% 3.20/0.72 % Positive orientable unit clauses : 82
% 3.20/0.72 % Positive unorientable unit clauses: 0
% 3.20/0.72 % Negative unit clauses : 4
% 3.20/0.72 % Non-unit-clauses : 454
% 3.20/0.72 % Current number of unprocessed clauses: 8204
% 3.20/0.72 % ...number of literals in the above : 49314
% 3.20/0.72 % Current number of archived formulas : 0
% 3.20/0.72 % Current number of archived clauses : 139
% 3.20/0.72 % Clause-clause subsumption calls (NU) : 52293
% 3.20/0.72 % Rec. Clause-clause subsumption calls : 6565
% 3.20/0.72 % Non-unit clause-clause subsumptions : 69
% 3.20/0.72 % Unit Clause-clause subsumption calls : 1183
% 3.20/0.72 % Rewrite failures with RHS unbound : 0
% 3.20/0.72 % BW rewrite match attempts : 215
% 3.20/0.72 % BW rewrite match successes : 17
% 3.20/0.72 % Condensation attempts : 803
% 3.20/0.72 % Condensation successes : 0
% 3.20/0.72 % Termbank termtop insertions : 380759
% 3.20/0.72 % Search garbage collected termcells : 4667
% 3.20/0.72
% 3.20/0.72 % -------------------------------------------------
% 3.20/0.72 % User time : 0.437 s
% 3.20/0.72 % System time : 0.015 s
% 3.20/0.72 % Total time : 0.452 s
% 3.20/0.72 % Maximum resident set size: 4540 pages
% 3.20/0.72
% 3.20/0.72 % -------------------------------------------------
% 3.20/0.72 % User time : 1.183 s
% 3.20/0.72 % System time : 0.055 s
% 3.20/0.72 % Total time : 1.238 s
% 3.20/0.72 % Maximum resident set size: 4608 pages
% 3.20/0.72 % E exiting
%------------------------------------------------------------------------------