TSTP Solution File: ITP004_2 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : ITP004_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 : Tue May 7 07:46:30 EDT 2024
% Result : Theorem 100.34s 17.38s
% Output : Refutation 100.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 56
% Syntax : Number of formulae : 148 ( 56 unt; 26 typ; 0 def)
% Number of atoms : 332 ( 99 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1450 ( 125 ~; 87 |; 14 &;1133 @)
% ( 8 <=>; 83 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 8 con; 0-2 aty)
% Number of variables : 183 ( 0 ^ 183 !; 0 ?; 183 :)
% Comments :
%------------------------------------------------------------------------------
thf(del_type,type,
del: $tType ).
thf(bool_type,type,
bool: del ).
thf(arr_type,type,
arr: del > del > del ).
thf(mem_type,type,
mem: $i > del > $o ).
thf(ap_type,type,
ap: $i > $i > $i ).
thf(k_type,type,
k: del > $i > $i ).
thf(i_type,type,
i: del > $i ).
thf(p_type,type,
p: $i > $o ).
thf(tp__o_type,type,
tp__o: $tType ).
thf(inj__o_type,type,
inj__o: tp__o > $i ).
thf(surj__o_type,type,
surj__o: $i > tp__o ).
thf(c_2Emin_2E_3D_3D_3E_type,type,
c_2Emin_2E_3D_3D_3E: $i ).
thf(fo__c_2Emin_2E_3D_3D_3E_type,type,
fo__c_2Emin_2E_3D_3D_3E: tp__o > tp__o > tp__o ).
thf(c_2Epred__set_2ESUBSET_type,type,
c_2Epred__set_2ESUBSET: del > $i ).
thf(c_2Ebool_2E_7E_type,type,
c_2Ebool_2E_7E: $i ).
thf(fo__c_2Ebool_2E_7E_type,type,
fo__c_2Ebool_2E_7E: tp__o > tp__o ).
thf(c_2Ebool_2E_2F_5C_type,type,
c_2Ebool_2E_2F_5C: $i ).
thf(fo__c_2Ebool_2E_2F_5C_type,type,
fo__c_2Ebool_2E_2F_5C: tp__o > tp__o > tp__o ).
thf(c_2Ebool_2EIN_type,type,
c_2Ebool_2EIN: del > $i ).
thf(c_2Epred__set_2ECHOICE_type,type,
c_2Epred__set_2ECHOICE: del > $i ).
thf(c_2Epred__set_2EDELETE_type,type,
c_2Epred__set_2EDELETE: del > $i ).
thf(c_2Epred__set_2EREST_type,type,
c_2Epred__set_2EREST: del > $i ).
thf(c_2Emin_2E_3D_type,type,
c_2Emin_2E_3D: del > $i ).
thf(c_2Ebool_2E_21_type,type,
c_2Ebool_2E_21: del > $i ).
thf(sk1_type,type,
sk1: del ).
thf(sk2_type,type,
sk2: $i ).
thf(15,axiom,
! [A: tp__o,B: tp__o] :
( ( inj__o @ ( fo__c_2Ebool_2E_2F_5C @ A @ B ) )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2E_2F_5C) ).
thf(69,plain,
! [A: tp__o,B: tp__o] :
( ( inj__o @ ( fo__c_2Ebool_2E_2F_5C @ A @ B ) )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(31,axiom,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ! [C: $i] :
( ( mem @ C @ A )
=> ! [D: $i] :
( ( mem @ D @ A )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ C ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A ) @ B ) @ D ) ) )
<=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ C ) @ B ) )
& ( C != D ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EIN__DELETE) ).
thf(120,plain,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ! [C: $i] :
( ( mem @ C @ A )
=> ! [D: $i] :
( ( mem @ D @ A )
=> ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ C ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A ) @ B ) @ D ) ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ C ) @ B ) )
& ( C != D ) ) )
& ( ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ C ) @ B ) )
& ( C != D ) )
=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ C ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A ) @ B ) @ D ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(25,axiom,
mem @ c_2Ebool_2E_7E @ ( arr @ bool @ bool ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2E_7E) ).
thf(103,plain,
mem @ c_2Ebool_2E_7E @ ( arr @ bool @ bool ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(30,axiom,
! [A: $i] :
( ( mem @ A @ bool )
=> ( ( p @ ( ap @ c_2Ebool_2E_7E @ A ) )
<=> ~ ( p @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_neg_p) ).
thf(117,plain,
! [A: $i] :
( ( mem @ A @ bool )
=> ( ( ( p @ ( ap @ c_2Ebool_2E_7E @ A ) )
=> ~ ( p @ A ) )
& ( ~ ( p @ A )
=> ( p @ ( ap @ c_2Ebool_2E_7E @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(118,plain,
! [A: $i] :
( ~ ( mem @ A @ bool )
| ~ ( p @ ( ap @ c_2Ebool_2E_7E @ A ) )
| ~ ( p @ A ) ),
inference(cnf,[status(esa)],[117]) ).
thf(131,plain,
! [A: $i] :
( ~ ( p @ ( ap @ c_2Ebool_2E_7E @ A ) )
| ~ ( p @ A )
| ( ( mem @ c_2Ebool_2E_7E @ ( arr @ bool @ bool ) )
!= ( mem @ A @ bool ) ) ),
inference(paramod_ordered,[status(thm)],[103,118]) ).
thf(137,plain,
! [A: $i] :
( ~ ( p @ ( ap @ c_2Ebool_2E_7E @ A ) )
| ~ ( p @ A )
| ( c_2Ebool_2E_7E != A )
| ( ( arr @ bool @ bool )
!= bool ) ),
inference(simp,[status(thm)],[131]) ).
thf(141,plain,
( ~ ( p @ ( ap @ c_2Ebool_2E_7E @ c_2Ebool_2E_7E ) )
| ~ ( p @ c_2Ebool_2E_7E )
| ( ( arr @ bool @ bool )
!= bool ) ),
inference(simp,[status(thm)],[137]) ).
thf(19,axiom,
! [A: del,B: $i,C: $i] :
( ( mem @ C @ A )
=> ( ( ap @ ( k @ A @ B ) @ C )
= B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kbeta) ).
thf(77,plain,
! [A: del,B: $i,C: $i] :
( ( mem @ C @ A )
=> ( ( ap @ ( k @ A @ B ) @ C )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(17,axiom,
! [A: del] : ( mem @ ( c_2Ebool_2E_21 @ A ) @ ( arr @ ( arr @ A @ bool ) @ bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2E_21) ).
thf(73,plain,
! [A: del] : ( mem @ ( c_2Ebool_2E_21 @ A ) @ ( arr @ ( arr @ A @ bool ) @ bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(7,axiom,
! [A: del] : ( mem @ ( c_2Epred__set_2ESUBSET @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ ( arr @ A @ bool ) @ bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Epred__set_2ESUBSET) ).
thf(47,plain,
! [A: del] : ( mem @ ( c_2Epred__set_2ESUBSET @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ ( arr @ A @ bool ) @ bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(48,plain,
! [A: del] : ( mem @ ( c_2Epred__set_2ESUBSET @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ ( arr @ A @ bool ) @ bool ) ) ),
inference(cnf,[status(esa)],[47]) ).
thf(14,axiom,
! [A: del] : ( mem @ ( c_2Ebool_2EIN @ A ) @ ( arr @ A @ ( arr @ ( arr @ A @ bool ) @ bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2EIN) ).
thf(67,plain,
! [A: del] : ( mem @ ( c_2Ebool_2EIN @ A ) @ ( arr @ A @ ( arr @ ( arr @ A @ bool ) @ bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(18,axiom,
! [A: tp__o] : ( mem @ ( inj__o @ A ) @ bool ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_inj_mem_o) ).
thf(75,plain,
! [A: tp__o] : ( mem @ ( inj__o @ A ) @ bool ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(1,conjecture,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A ) @ ( ap @ ( c_2Epred__set_2EREST @ A ) @ B ) ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EREST__SUBSET) ).
thf(2,negated_conjecture,
~ ! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A ) @ ( ap @ ( c_2Epred__set_2EREST @ A ) @ B ) ) @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(32,plain,
~ ! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A ) @ ( ap @ ( c_2Epred__set_2EREST @ A ) @ B ) ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(34,plain,
mem @ sk2 @ ( arr @ sk1 @ bool ),
inference(cnf,[status(esa)],[32]) ).
thf(128,plain,
! [A: $i] :
( ~ ( p @ ( ap @ c_2Ebool_2E_7E @ A ) )
| ~ ( p @ A )
| ( ( mem @ sk2 @ ( arr @ sk1 @ bool ) )
!= ( mem @ A @ bool ) ) ),
inference(paramod_ordered,[status(thm)],[34,118]) ).
thf(135,plain,
! [A: $i] :
( ~ ( p @ ( ap @ c_2Ebool_2E_7E @ A ) )
| ~ ( p @ A )
| ( sk2 != A )
| ( ( arr @ sk1 @ bool )
!= bool ) ),
inference(simp,[status(thm)],[128]) ).
thf(139,plain,
( ~ ( p @ ( ap @ c_2Ebool_2E_7E @ sk2 ) )
| ~ ( p @ sk2 )
| ( ( arr @ sk1 @ bool )
!= bool ) ),
inference(simp,[status(thm)],[135]) ).
thf(145,plain,
( ~ ( p @ sk2 )
| ( ( arr @ sk1 @ bool )
!= bool )
| ( ( p @ ( ap @ c_2Ebool_2E_7E @ sk2 ) )
!= ( p @ sk2 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[139]) ).
thf(146,plain,
( ~ ( p @ sk2 )
| ( ( arr @ sk1 @ bool )
!= bool )
| ( ( p @ ( ap @ c_2Ebool_2E_7E @ sk2 ) )
!= ( p @ sk2 ) ) ),
inference(simp,[status(thm)],[145]) ).
thf(23,axiom,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ A ) @ B ) )
<=> ! [C: $i] :
( ( mem @ C @ A )
=> ( p @ ( ap @ B @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_all_p) ).
thf(94,plain,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ( ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ A ) @ B ) )
=> ! [C: $i] :
( ( mem @ C @ A )
=> ( p @ ( ap @ B @ C ) ) ) )
& ( ! [C: $i] :
( ( mem @ C @ A )
=> ( p @ ( ap @ B @ C ) ) )
=> ( p @ ( ap @ ( c_2Ebool_2E_21 @ A ) @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(27,axiom,
! [A: del] : ( mem @ ( c_2Emin_2E_3D @ A ) @ ( arr @ A @ ( arr @ A @ bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D) ).
thf(110,plain,
! [A: del] : ( mem @ ( c_2Emin_2E_3D @ A ) @ ( arr @ A @ ( arr @ A @ bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(111,plain,
! [A: del] : ( mem @ ( c_2Emin_2E_3D @ A ) @ ( arr @ A @ ( arr @ A @ bool ) ) ),
inference(cnf,[status(esa)],[110]) ).
thf(5,axiom,
! [A: $i] :
( ( mem @ A @ bool )
=> ! [B: $i] :
( ( mem @ B @ bool )
=> ( ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ A ) @ B ) )
<=> ( ( p @ A )
=> ( p @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_imp_p) ).
thf(42,plain,
! [A: $i] :
( ( mem @ A @ bool )
=> ! [B: $i] :
( ( mem @ B @ bool )
=> ( ( ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ A ) @ B ) )
=> ( ( p @ A )
=> ( p @ B ) ) )
& ( ( ( p @ A )
=> ( p @ B ) )
=> ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ A ) @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
! [A: tp__o] :
( ( surj__o @ ( inj__o @ A ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_inj_surj_o) ).
thf(35,plain,
! [A: tp__o] :
( ( surj__o @ ( inj__o @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(36,plain,
! [A: tp__o] :
( ( surj__o @ ( inj__o @ A ) )
= A ),
inference(cnf,[status(esa)],[35]) ).
thf(37,plain,
! [A: tp__o] :
( ( surj__o @ ( inj__o @ A ) )
= A ),
inference(lifteq,[status(thm)],[36]) ).
thf(9,axiom,
! [A: del,B: del,C: $i] :
( ( mem @ C @ ( arr @ A @ B ) )
=> ! [D: $i] :
( ( mem @ D @ ( arr @ A @ B ) )
=> ( ! [E: $i] :
( ( mem @ E @ A )
=> ( ( ap @ C @ E )
= ( ap @ D @ E ) ) )
=> ( C = D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',funcext) ).
thf(52,plain,
! [A: del,B: del,C: $i] :
( ( mem @ C @ ( arr @ A @ B ) )
=> ! [D: $i] :
( ( mem @ D @ ( arr @ A @ B ) )
=> ( ! [E: $i] :
( ( mem @ E @ A )
=> ( ( ap @ C @ E )
= ( ap @ D @ E ) ) )
=> ( C = D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
mem @ c_2Emin_2E_3D_3D_3E @ ( arr @ bool @ ( arr @ bool @ bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D_3D_3E) ).
thf(46,plain,
mem @ c_2Emin_2E_3D_3D_3E @ ( arr @ bool @ ( arr @ bool @ bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(10,axiom,
! [A: tp__o] :
( ( inj__o @ ( fo__c_2Ebool_2E_7E @ A ) )
= ( ap @ c_2Ebool_2E_7E @ ( inj__o @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2E_7E) ).
thf(57,plain,
! [A: tp__o] :
( ( inj__o @ ( fo__c_2Ebool_2E_7E @ A ) )
= ( ap @ c_2Ebool_2E_7E @ ( inj__o @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(147,plain,
( ~ ( p @ sk2 )
| ( ( arr @ sk1 @ bool )
!= bool )
| ( ( ap @ c_2Ebool_2E_7E @ sk2 )
!= sk2 ) ),
inference(simp,[status(thm)],[145]) ).
thf(11,axiom,
! [A: del] : ( mem @ ( c_2Epred__set_2EREST @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ A @ bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Epred__set_2EREST) ).
thf(60,plain,
! [A: del] : ( mem @ ( c_2Epred__set_2EREST @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ A @ bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(61,plain,
! [A: del] : ( mem @ ( c_2Epred__set_2EREST @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ A @ bool ) ) ),
inference(cnf,[status(esa)],[60]) ).
thf(21,axiom,
! [A: del] : ( mem @ ( c_2Epred__set_2EDELETE @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ A @ ( arr @ A @ bool ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Epred__set_2EDELETE) ).
thf(89,plain,
! [A: del] : ( mem @ ( c_2Epred__set_2EDELETE @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ A @ ( arr @ A @ bool ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(29,axiom,
! [A: tp__o,B: tp__o] :
( ( inj__o @ ( fo__c_2Emin_2E_3D_3D_3E @ A @ B ) )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Emin_2E_3D_3D_3E) ).
thf(114,plain,
! [A: tp__o,B: tp__o] :
( ( inj__o @ ( fo__c_2Emin_2E_3D_3D_3E @ A @ B ) )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(115,plain,
! [B: tp__o,A: tp__o] :
( ( inj__o @ ( fo__c_2Emin_2E_3D_3D_3E @ A @ B ) )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) ),
inference(cnf,[status(esa)],[114]) ).
thf(116,plain,
! [B: tp__o,A: tp__o] :
( ( inj__o @ ( fo__c_2Emin_2E_3D_3D_3E @ A @ B ) )
= ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) ),
inference(lifteq,[status(thm)],[115]) ).
thf(74,plain,
! [A: del] : ( mem @ ( c_2Ebool_2E_21 @ A ) @ ( arr @ ( arr @ A @ bool ) @ bool ) ),
inference(cnf,[status(esa)],[73]) ).
thf(4,axiom,
! [A: $i] :
( ( mem @ A @ bool )
=> ! [B: $i] :
( ( mem @ B @ bool )
=> ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ A ) @ B ) )
<=> ( ( p @ A )
& ( p @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_and_p) ).
thf(38,plain,
! [A: $i] :
( ( mem @ A @ bool )
=> ! [B: $i] :
( ( mem @ B @ bool )
=> ( ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ A ) @ B ) )
=> ( ( p @ A )
& ( p @ B ) ) )
& ( ( ( p @ A )
& ( p @ B ) )
=> ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ A ) @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(58,plain,
! [A: tp__o] :
( ( inj__o @ ( fo__c_2Ebool_2E_7E @ A ) )
= ( ap @ c_2Ebool_2E_7E @ ( inj__o @ A ) ) ),
inference(cnf,[status(esa)],[57]) ).
thf(59,plain,
! [A: tp__o] :
( ( ap @ c_2Ebool_2E_7E @ ( inj__o @ A ) )
= ( inj__o @ ( fo__c_2Ebool_2E_7E @ A ) ) ),
inference(lifteq,[status(thm)],[58]) ).
thf(148,plain,
! [A: tp__o] :
( ~ ( p @ sk2 )
| ( ( arr @ sk1 @ bool )
!= bool )
| ( ( inj__o @ ( fo__c_2Ebool_2E_7E @ A ) )
!= sk2 )
| ( ( ap @ c_2Ebool_2E_7E @ ( inj__o @ A ) )
!= ( ap @ c_2Ebool_2E_7E @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[59,147]) ).
thf(158,plain,
! [A: tp__o] :
( ~ ( p @ sk2 )
| ( ( arr @ sk1 @ bool )
!= bool )
| ( ( inj__o @ ( fo__c_2Ebool_2E_7E @ A ) )
!= sk2 )
| ( c_2Ebool_2E_7E != c_2Ebool_2E_7E )
| ( ( inj__o @ A )
!= sk2 ) ),
inference(simp,[status(thm)],[148]) ).
thf(162,plain,
! [A: tp__o] :
( ~ ( p @ sk2 )
| ( ( arr @ sk1 @ bool )
!= bool )
| ( ( inj__o @ ( fo__c_2Ebool_2E_7E @ A ) )
!= sk2 )
| ( ( inj__o @ A )
!= sk2 ) ),
inference(simp,[status(thm)],[158]) ).
thf(420,plain,
! [A: tp__o] :
( ~ ( p @ sk2 )
| ( ( arr @ sk1 @ bool )
!= bool )
| ( ( inj__o @ A )
!= sk2 )
| ( ( inj__o @ ( fo__c_2Ebool_2E_7E @ A ) )
!= ( inj__o @ A ) )
| ( sk2 != sk2 ) ),
inference(eqfactor_ordered,[status(thm)],[162]) ).
thf(424,plain,
! [A: tp__o] :
( ~ ( p @ sk2 )
| ( ( arr @ sk1 @ bool )
!= bool )
| ( ( inj__o @ A )
!= sk2 )
| ( ( fo__c_2Ebool_2E_7E @ A )
!= A ) ),
inference(simp,[status(thm)],[420]) ).
thf(33,plain,
~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ sk1 ) @ ( ap @ ( c_2Epred__set_2EREST @ sk1 ) @ sk2 ) ) @ sk2 ) ),
inference(cnf,[status(esa)],[32]) ).
thf(152,plain,
! [A: tp__o] :
( ~ ( p @ ( inj__o @ ( fo__c_2Ebool_2E_7E @ A ) ) )
| ~ ( p @ sk2 )
| ( ( arr @ sk1 @ bool )
!= bool )
| ( ( ap @ c_2Ebool_2E_7E @ ( inj__o @ A ) )
!= ( ap @ c_2Ebool_2E_7E @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[59,139]) ).
thf(155,plain,
! [A: tp__o] :
( ~ ( p @ ( inj__o @ ( fo__c_2Ebool_2E_7E @ A ) ) )
| ~ ( p @ sk2 )
| ( ( arr @ sk1 @ bool )
!= bool )
| ( c_2Ebool_2E_7E != c_2Ebool_2E_7E )
| ( ( inj__o @ A )
!= sk2 ) ),
inference(simp,[status(thm)],[152]) ).
thf(161,plain,
! [A: tp__o] :
( ~ ( p @ ( inj__o @ ( fo__c_2Ebool_2E_7E @ A ) ) )
| ~ ( p @ sk2 )
| ( ( arr @ sk1 @ bool )
!= bool )
| ( ( inj__o @ A )
!= sk2 ) ),
inference(simp,[status(thm)],[155]) ).
thf(13,axiom,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ( ( ap @ ( c_2Epred__set_2EREST @ A ) @ B )
= ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A ) @ B ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_thm_2Epred__set_2EREST__DEF) ).
thf(64,plain,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ( ( ap @ ( c_2Epred__set_2EREST @ A ) @ B )
= ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A ) @ B ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A ) @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(173,plain,
( ~ ( p @ c_2Ebool_2E_7E )
| ( ( arr @ bool @ bool )
!= bool )
| ( ( p @ ( ap @ c_2Ebool_2E_7E @ c_2Ebool_2E_7E ) )
!= ( p @ c_2Ebool_2E_7E ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[141]) ).
thf(176,plain,
( ~ ( p @ c_2Ebool_2E_7E )
| ( ( arr @ bool @ bool )
!= bool )
| ( ( ap @ c_2Ebool_2E_7E @ c_2Ebool_2E_7E )
!= c_2Ebool_2E_7E ) ),
inference(simp,[status(thm)],[173]) ).
thf(16,axiom,
mem @ c_2Ebool_2E_2F_5C @ ( arr @ bool @ ( arr @ bool @ bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2E_2F_5C) ).
thf(72,plain,
mem @ c_2Ebool_2E_2F_5C @ ( arr @ bool @ ( arr @ bool @ bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(142,plain,
! [A: $i] :
( ~ ( p @ ( ap @ c_2Ebool_2E_7E @ A ) )
| ~ ( p @ A )
| ( ( mem @ c_2Ebool_2E_2F_5C @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
!= ( mem @ A @ bool ) ) ),
inference(paramod_ordered,[status(thm)],[72,118]) ).
thf(143,plain,
! [A: $i] :
( ~ ( p @ ( ap @ c_2Ebool_2E_7E @ A ) )
| ~ ( p @ A )
| ( c_2Ebool_2E_2F_5C != A )
| ( ( arr @ bool @ ( arr @ bool @ bool ) )
!= bool ) ),
inference(simp,[status(thm)],[142]) ).
thf(144,plain,
( ~ ( p @ ( ap @ c_2Ebool_2E_7E @ c_2Ebool_2E_2F_5C ) )
| ~ ( p @ c_2Ebool_2E_2F_5C )
| ( ( arr @ bool @ ( arr @ bool @ bool ) )
!= bool ) ),
inference(simp,[status(thm)],[143]) ).
thf(8,axiom,
! [A: $i] :
( ( mem @ A @ bool )
=> ( A
= ( inj__o @ ( surj__o @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_iso_mem_o) ).
thf(49,plain,
! [A: $i] :
( ( mem @ A @ bool )
=> ( A
= ( inj__o @ ( surj__o @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(28,axiom,
! [A: del] : ( mem @ ( c_2Epred__set_2ECHOICE @ A ) @ ( arr @ ( arr @ A @ bool ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Epred__set_2ECHOICE) ).
thf(112,plain,
! [A: del] : ( mem @ ( c_2Epred__set_2ECHOICE @ A ) @ ( arr @ ( arr @ A @ bool ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(113,plain,
! [A: del] : ( mem @ ( c_2Epred__set_2ECHOICE @ A ) @ ( arr @ ( arr @ A @ bool ) @ A ) ),
inference(cnf,[status(esa)],[112]) ).
thf(76,plain,
! [A: tp__o] : ( mem @ ( inj__o @ A ) @ bool ),
inference(cnf,[status(esa)],[75]) ).
thf(39,plain,
! [B: $i,A: $i] :
( ~ ( mem @ A @ bool )
| ~ ( mem @ B @ bool )
| ~ ( p @ A )
| ~ ( p @ B )
| ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ A ) @ B ) ) ),
inference(cnf,[status(esa)],[38]) ).
thf(24,axiom,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ! [C: $i] :
( ( mem @ C @ ( arr @ A @ bool ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A ) @ B ) @ C ) )
<=> ! [D: $i] :
( ( mem @ D @ A )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ D ) @ B ) )
=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ D ) @ C ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_thm_2Epred__set_2ESUBSET__DEF) ).
thf(98,plain,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ! [C: $i] :
( ( mem @ C @ ( arr @ A @ bool ) )
=> ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A ) @ B ) @ C ) )
=> ! [D: $i] :
( ( mem @ D @ A )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ D ) @ B ) )
=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ D ) @ C ) ) ) ) )
& ( ! [D: $i] :
( ( mem @ D @ A )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ D ) @ B ) )
=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ D ) @ C ) ) ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A ) @ B ) @ C ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(70,plain,
! [B: tp__o,A: tp__o] :
( ( inj__o @ ( fo__c_2Ebool_2E_2F_5C @ A @ B ) )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) ),
inference(cnf,[status(esa)],[69]) ).
thf(71,plain,
! [B: tp__o,A: tp__o] :
( ( inj__o @ ( fo__c_2Ebool_2E_2F_5C @ A @ B ) )
= ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) ),
inference(lifteq,[status(thm)],[70]) ).
thf(313,plain,
! [C: tp__o,B: tp__o,A: tp__o] :
( ( ( surj__o @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) )
= C )
| ( ( inj__o @ ( fo__c_2Ebool_2E_2F_5C @ A @ B ) )
!= ( inj__o @ C ) ) ),
inference(paramod_ordered,[status(thm)],[71,37]) ).
thf(314,plain,
! [B: tp__o,A: tp__o] :
( ( fo__c_2Ebool_2E_2F_5C @ A @ B )
= ( surj__o @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) ) ),
inference(pattern_uni,[status(thm)],[313:[bind(A,$thf( D )),bind(B,$thf( E )),bind(C,$thf( fo__c_2Ebool_2E_2F_5C @ D @ E ))]]) ).
thf(367,plain,
! [B: tp__o,A: tp__o] :
( ( fo__c_2Ebool_2E_2F_5C @ A @ B )
= ( surj__o @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) ) ),
inference(simp,[status(thm)],[314]) ).
thf(127,plain,
! [A: $i] :
( ~ ( p @ ( ap @ c_2Ebool_2E_7E @ A ) )
| ~ ( p @ A )
| ( ( mem @ c_2Emin_2E_3D_3D_3E @ ( arr @ bool @ ( arr @ bool @ bool ) ) )
!= ( mem @ A @ bool ) ) ),
inference(paramod_ordered,[status(thm)],[46,118]) ).
thf(136,plain,
! [A: $i] :
( ~ ( p @ ( ap @ c_2Ebool_2E_7E @ A ) )
| ~ ( p @ A )
| ( c_2Emin_2E_3D_3D_3E != A )
| ( ( arr @ bool @ ( arr @ bool @ bool ) )
!= bool ) ),
inference(simp,[status(thm)],[127]) ).
thf(140,plain,
( ~ ( p @ ( ap @ c_2Ebool_2E_7E @ c_2Emin_2E_3D_3D_3E ) )
| ~ ( p @ c_2Emin_2E_3D_3D_3E )
| ( ( arr @ bool @ ( arr @ bool @ bool ) )
!= bool ) ),
inference(simp,[status(thm)],[136]) ).
thf(22,axiom,
! [A: del,B: $i] :
( ( mem @ B @ A )
=> ( ( ap @ ( i @ A ) @ B )
= B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ibeta) ).
thf(91,plain,
! [A: del,B: $i] :
( ( mem @ B @ A )
=> ( ( ap @ ( i @ A ) @ B )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(20,axiom,
! [A: $i] :
( ( mem @ A @ bool )
=> ! [B: $i] :
( ( mem @ B @ bool )
=> ( ( ( p @ A )
<=> ( p @ B ) )
=> ( A = B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boolext) ).
thf(80,plain,
! [A: $i] :
( ( mem @ A @ bool )
=> ! [B: $i] :
( ( mem @ B @ bool )
=> ( ( ( ( p @ A )
=> ( p @ B ) )
& ( ( p @ B )
=> ( p @ A ) ) )
=> ( A = B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(562,plain,
! [C: tp__o,B: tp__o,A: tp__o] :
( ( mem @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) @ bool )
| ( ( inj__o @ ( fo__c_2Emin_2E_3D_3D_3E @ A @ B ) )
!= ( inj__o @ C ) ) ),
inference(paramod_ordered,[status(thm)],[116,76]) ).
thf(563,plain,
! [B: tp__o,A: tp__o] : ( mem @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) @ bool ),
inference(pattern_uni,[status(thm)],[562:[bind(A,$thf( D )),bind(B,$thf( E )),bind(C,$thf( fo__c_2Emin_2E_3D_3D_3E @ D @ E ))]]) ).
thf(617,plain,
! [B: tp__o,A: tp__o] : ( mem @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) @ bool ),
inference(simp,[status(thm)],[563]) ).
thf(175,plain,
( ~ ( p @ c_2Ebool_2E_7E )
| ( ( arr @ bool @ bool )
!= bool )
| ( ( p @ ( ap @ c_2Ebool_2E_7E @ c_2Ebool_2E_7E ) )
!= ( p @ c_2Ebool_2E_7E ) ) ),
inference(simp,[status(thm)],[173]) ).
thf(337,plain,
! [C: tp__o,B: tp__o,A: tp__o] :
( ( mem @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) @ bool )
| ( ( inj__o @ ( fo__c_2Ebool_2E_2F_5C @ A @ B ) )
!= ( inj__o @ C ) ) ),
inference(paramod_ordered,[status(thm)],[71,76]) ).
thf(338,plain,
! [B: tp__o,A: tp__o] : ( mem @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) @ bool ),
inference(pattern_uni,[status(thm)],[337:[bind(A,$thf( D )),bind(B,$thf( E )),bind(C,$thf( fo__c_2Ebool_2E_2F_5C @ D @ E ))]]) ).
thf(363,plain,
! [B: tp__o,A: tp__o] : ( mem @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) @ bool ),
inference(simp,[status(thm)],[338]) ).
thf(368,plain,
! [D: tp__o,C: tp__o,B: tp__o,A: tp__o] :
( ( mem @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( inj__o @ C ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( inj__o @ A ) ) @ ( inj__o @ B ) ) ) @ bool )
| ( ( inj__o @ ( fo__c_2Ebool_2E_2F_5C @ A @ B ) )
!= ( inj__o @ D ) ) ),
inference(paramod_ordered,[status(thm)],[71,363]) ).
thf(369,plain,
! [C: tp__o,B: tp__o,A: tp__o] : ( mem @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( inj__o @ A ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( inj__o @ B ) ) @ ( inj__o @ C ) ) ) @ bool ),
inference(pattern_uni,[status(thm)],[368:[bind(A,$thf( E )),bind(B,$thf( F )),bind(C,$thf( C )),bind(D,$thf( fo__c_2Ebool_2E_2F_5C @ E @ F ))]]) ).
thf(386,plain,
! [C: tp__o,B: tp__o,A: tp__o] : ( mem @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( inj__o @ A ) ) @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ ( inj__o @ B ) ) @ ( inj__o @ C ) ) ) @ bool ),
inference(simp,[status(thm)],[369]) ).
thf(26,axiom,
! [A: del,B: $i] :
( ( mem @ B @ A )
=> ! [C: $i] :
( ( mem @ C @ A )
=> ( ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A ) @ B ) @ C ) )
<=> ( B = C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_eq_p) ).
thf(104,plain,
! [A: del,B: $i] :
( ( mem @ B @ A )
=> ! [C: $i] :
( ( mem @ C @ A )
=> ( ( ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A ) @ B ) @ C ) )
=> ( B = C ) )
& ( ( B = C )
=> ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A ) @ B ) @ C ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(40,plain,
! [B: $i,A: $i] :
( ~ ( mem @ A @ bool )
| ~ ( mem @ B @ bool )
| ~ ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ A ) @ B ) )
| ( p @ A ) ),
inference(cnf,[status(esa)],[38]) ).
thf(395,plain,
( ~ ( p @ c_2Emin_2E_3D_3D_3E )
| ( ( arr @ bool @ ( arr @ bool @ bool ) )
!= bool )
| ( ( p @ ( ap @ c_2Ebool_2E_7E @ c_2Emin_2E_3D_3D_3E ) )
!= ( p @ c_2Emin_2E_3D_3D_3E ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[140]) ).
thf(401,plain,
( ~ ( p @ c_2Emin_2E_3D_3D_3E )
| ( ( arr @ bool @ ( arr @ bool @ bool ) )
!= bool )
| ( ( ap @ c_2Ebool_2E_7E @ c_2Emin_2E_3D_3D_3E )
!= c_2Emin_2E_3D_3D_3E ) ),
inference(simp,[status(thm)],[395]) ).
thf(68,plain,
! [A: del] : ( mem @ ( c_2Ebool_2EIN @ A ) @ ( arr @ A @ ( arr @ ( arr @ A @ bool ) @ bool ) ) ),
inference(cnf,[status(esa)],[67]) ).
thf(12,axiom,
! [A: del,B: del,C: $i] :
( ( mem @ C @ ( arr @ A @ B ) )
=> ! [D: $i] :
( ( mem @ D @ A )
=> ( mem @ ( ap @ C @ D ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_tp) ).
thf(62,plain,
! [A: del,B: del,C: $i] :
( ( mem @ C @ ( arr @ A @ B ) )
=> ! [D: $i] :
( ( mem @ D @ A )
=> ( mem @ ( ap @ C @ D ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(31956,plain,
$false,
inference(cvc4,[status(thm)],[69,120,141,77,73,48,67,75,146,94,111,42,37,52,110,46,57,147,61,89,116,74,60,117,38,424,33,161,64,32,34,176,59,118,144,49,113,76,39,98,367,103,140,91,80,35,162,112,617,72,175,386,363,104,40,114,401,139,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP004_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n009.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon May 6 14:29:24 EDT 2024
% 0.15/0.37 % CPUTime :
% 1.02/0.90 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/1.06 % [INFO] Parsing done (159ms).
% 1.51/1.07 % [INFO] Running in sequential loop mode.
% 1.91/1.29 % [INFO] eprover registered as external prover.
% 1.91/1.30 % [INFO] cvc4 registered as external prover.
% 1.91/1.30 % [INFO] Scanning for conjecture ...
% 2.25/1.38 % [INFO] Found a conjecture and 29 axioms. Running axiom selection ...
% 2.25/1.44 % [INFO] Axiom selection finished. Selected 29 axioms (removed 0 axioms).
% 2.58/1.49 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.58/1.49 % [INFO] Type checking passed.
% 2.58/1.50 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 100.34/17.37 % External prover 'cvc4' found a proof!
% 100.34/17.37 % [INFO] Killing All external provers ...
% 100.34/17.38 % Time passed: 16847ms (effective reasoning time: 16305ms)
% 100.34/17.38 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 100.34/17.38 % Axioms used in derivation (29): conj_thm_2Epred__set_2EIN__DELETE, ibeta, funcext, mem_c_2Epred__set_2EDELETE, mem_c_2Ebool_2E_21, ax_and_p, mem_c_2Emin_2E_3D, mem_c_2Ebool_2E_7E, stp_eq_fo_c_2Ebool_2E_7E, ax_all_p, mem_c_2Epred__set_2EREST, ap_tp, mem_c_2Epred__set_2ESUBSET, boolext, mem_c_2Epred__set_2ECHOICE, stp_inj_mem_o, ax_thm_2Epred__set_2EREST__DEF, ax_neg_p, mem_c_2Ebool_2E_2F_5C, stp_inj_surj_o, stp_eq_fo_c_2Ebool_2E_2F_5C, kbeta, ax_imp_p, ax_eq_p, stp_eq_fo_c_2Emin_2E_3D_3D_3E, ax_thm_2Epred__set_2ESUBSET__DEF, mem_c_2Ebool_2EIN, stp_iso_mem_o, mem_c_2Emin_2E_3D_3D_3E
% 100.34/17.38 % No. of inferences in proof: 122
% 100.34/17.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 16847 ms resp. 16305 ms w/o parsing
% 100.34/17.44 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 100.34/17.44 % [INFO] Killing All external provers ...
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