TSTP Solution File: ITP015^2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP015^2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.b01UVgz774 true
% 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 : Thu Aug 31 05:21:14 EDT 2023
% Result : Theorem 47.13s 6.59s
% Output : Refutation 47.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 56
% Syntax : Number of formulae : 82 ( 28 unt; 32 typ; 0 def)
% Number of atoms : 112 ( 35 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 574 ( 8 ~; 2 |; 8 &; 506 @)
% ( 8 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 5 ( 3 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 29 usr; 14 con; 0-2 aty)
% ( 26 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 53 ( 26 ^; 27 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
thf(del_type,type,
del: $tType ).
thf(tp__ty_2Enum_2Enum_type,type,
tp__ty_2Enum_2Enum: $tType ).
thf(tp__ty_2Einteger_2Eint_type,type,
tp__ty_2Einteger_2Eint: $tType ).
thf(c_2Einteger_2Eint__lt_type,type,
c_2Einteger_2Eint__lt: $i ).
thf(mem_type,type,
mem: $i > del > $o ).
thf(c_2Ebool_2EF_type,type,
c_2Ebool_2EF: $i ).
thf(inj__o_type,type,
inj__o: $o > $i ).
thf(inj__ty_2Einteger_2Eint_type,type,
inj__ty_2Einteger_2Eint: tp__ty_2Einteger_2Eint > $i ).
thf(fo__c_2Enum_2E0_type,type,
fo__c_2Enum_2E0: tp__ty_2Enum_2Enum ).
thf(fo__c_2Einteger_2Eint__neg_type,type,
fo__c_2Einteger_2Eint__neg: tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint ).
thf(c_2Einteger_2ENum_type,type,
c_2Einteger_2ENum: $i ).
thf(c_2Einteger_2Eint__neg_type,type,
c_2Einteger_2Eint__neg: $i ).
thf(fo__c_2Einteger_2ENum_type,type,
fo__c_2Einteger_2ENum: tp__ty_2Einteger_2Eint > tp__ty_2Enum_2Enum ).
thf(p_type,type,
p: $i > $o ).
thf(inj__ty_2Enum_2Enum_type,type,
inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i ).
thf(fo__c_2Einteger_2Eint__of__num_type,type,
fo__c_2Einteger_2Eint__of__num: tp__ty_2Enum_2Enum > tp__ty_2Einteger_2Eint ).
thf(c_2Einteger__word_2Ei2w_type,type,
c_2Einteger__word_2Ei2w: del > $i ).
thf(c_2Eprim__rec_2E_3C_type,type,
c_2Eprim__rec_2E_3C: $i ).
thf(ty_2Efcp_2Ecart_type,type,
ty_2Efcp_2Ecart: del > del > del ).
thf(c_2Ewords_2Eword__2comp_type,type,
c_2Ewords_2Eword__2comp: del > $i ).
thf(c_2Enum_2E0_type,type,
c_2Enum_2E0: $i ).
thf(c_2Ewords_2En2w_type,type,
c_2Ewords_2En2w: del > $i ).
thf(ap_type,type,
ap: $i > $i > $i ).
thf(arr_type,type,
arr: del > del > del ).
thf(ty_2Enum_2Enum_type,type,
ty_2Enum_2Enum: del ).
thf(c_2Ebool_2ECOND_type,type,
c_2Ebool_2ECOND: del > $i ).
thf(bool_type,type,
bool: del ).
thf(c_2Einteger_2Eint__of__num_type,type,
c_2Einteger_2Eint__of__num: $i ).
thf(surj__ty_2Enum_2Enum_type,type,
surj__ty_2Enum_2Enum: $i > tp__ty_2Enum_2Enum ).
thf(surj__ty_2Einteger_2Eint_type,type,
surj__ty_2Einteger_2Eint: $i > tp__ty_2Einteger_2Eint ).
thf(ty_2Einteger_2Eint_type,type,
ty_2Einteger_2Eint: del ).
thf(c_2Ebool_2ET_type,type,
c_2Ebool_2ET: $i ).
thf(conj_thm_2Ebool_2Ebool__case__thm,axiom,
! [A_27a: del] :
( ! [V0t1: $i] :
( ( mem @ V0t1 @ A_27a )
=> ! [V1t2: $i] :
( ( mem @ V1t2 @ A_27a )
=> ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ c_2Ebool_2ET ) @ V0t1 ) @ V1t2 )
= V0t1 ) ) )
& ! [V2t1: $i] :
( ( mem @ V2t1 @ A_27a )
=> ! [V3t2: $i] :
( ( mem @ V3t2 @ A_27a )
=> ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ c_2Ebool_2EF ) @ V2t1 ) @ V3t2 )
= V3t2 ) ) ) ) ).
thf(zip_derived_cl54,plain,
( !!
@ ^ [Y0: del] :
( ( !!
@ ^ [Y1: $i] :
( ( mem @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( mem @ Y2 @ Y0 )
=> ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ Y0 ) @ c_2Ebool_2ET ) @ Y1 ) @ Y2 )
= Y1 ) ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( ( mem @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( mem @ Y2 @ Y0 )
=> ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ Y0 ) @ c_2Ebool_2EF ) @ Y1 ) @ Y2 )
= Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[conj_thm_2Ebool_2Ebool__case__thm]) ).
thf(conj_thm_2Einteger__word_2Ei2w__0,conjecture,
! [A_27a: del] :
( ( ap @ ( c_2Einteger__word_2Ei2w @ A_27a ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
= ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A_27a: del] :
( ( ap @ ( c_2Einteger__word_2Ei2w @ A_27a ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
= ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ),
inference('cnf.neg',[status(esa)],[conj_thm_2Einteger__word_2Ei2w__0]) ).
thf(zip_derived_cl62,plain,
~ ( !!
@ ^ [Y0: del] :
( ( ap @ ( c_2Einteger__word_2Ei2w @ Y0 ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
= ( ap @ ( c_2Ewords_2En2w @ Y0 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mem_c_2Ewords_2Eword__2comp,axiom,
! [A_27a: del] : ( mem @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( arr @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) ) ).
thf(zip_derived_cl44,plain,
( !!
@ ^ [Y0: del] : ( mem @ ( c_2Ewords_2Eword__2comp @ Y0 ) @ ( arr @ ( ty_2Efcp_2Ecart @ bool @ Y0 ) @ ( ty_2Efcp_2Ecart @ bool @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[mem_c_2Ewords_2Eword__2comp]) ).
thf(mem_c_2Ewords_2En2w,axiom,
! [A_27a: del] : ( mem @ ( c_2Ewords_2En2w @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) ) ).
thf(zip_derived_cl43,plain,
( !!
@ ^ [Y0: del] : ( mem @ ( c_2Ewords_2En2w @ Y0 ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Efcp_2Ecart @ bool @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[mem_c_2Ewords_2En2w]) ).
thf(mem_c_2Einteger_2Eint__neg,axiom,
mem @ c_2Einteger_2Eint__neg @ ( arr @ ty_2Einteger_2Eint @ ty_2Einteger_2Eint ) ).
thf(zip_derived_cl20,plain,
mem @ c_2Einteger_2Eint__neg @ ( arr @ ty_2Einteger_2Eint @ ty_2Einteger_2Eint ),
inference(cnf,[status(esa)],[mem_c_2Einteger_2Eint__neg]) ).
thf(ax_thm_2Einteger__word_2Ei2w__def,axiom,
! [A_27a: del,V0i: tp__ty_2Einteger_2Eint] :
( ( ap @ ( c_2Einteger__word_2Ei2w @ A_27a ) @ ( inj__ty_2Einteger_2Eint @ V0i ) )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__lt @ ( inj__ty_2Einteger_2Eint @ V0i ) ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Einteger_2ENum @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ V0i ) ) ) ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ c_2Einteger_2ENum @ ( inj__ty_2Einteger_2Eint @ V0i ) ) ) ) ) ).
thf(zip_derived_cl58,plain,
( !!
@ ^ [Y0: del] :
( !!
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( ap @ ( c_2Einteger__word_2Ei2w @ Y0 ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ Y0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__lt @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ Y0 ) @ ( ap @ ( c_2Ewords_2En2w @ Y0 ) @ ( ap @ c_2Einteger_2ENum @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ Y0 ) @ ( ap @ c_2Einteger_2ENum @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[ax_thm_2Einteger__word_2Ei2w__def]) ).
thf(conj_thm_2Ewords_2EWORD__NEG__0,axiom,
! [A_27a: del] :
( ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
= ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ).
thf(zip_derived_cl61,plain,
( !!
@ ^ [Y0: del] :
( ( ap @ ( c_2Ewords_2Eword__2comp @ Y0 ) @ ( ap @ ( c_2Ewords_2En2w @ Y0 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
= ( ap @ ( c_2Ewords_2En2w @ Y0 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ),
inference(cnf,[status(esa)],[conj_thm_2Ewords_2EWORD__NEG__0]) ).
thf(mem_c_2Enum_2E0,axiom,
mem @ c_2Enum_2E0 @ ty_2Enum_2Enum ).
thf(zip_derived_cl41,plain,
mem @ c_2Enum_2E0 @ ty_2Enum_2Enum,
inference(cnf,[status(esa)],[mem_c_2Enum_2E0]) ).
thf(conj_thm_2Einteger_2ENUM__OF__INT,axiom,
! [V0n: tp__ty_2Enum_2Enum] :
( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Einteger_2ENum @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
= V0n ) ).
thf(zip_derived_cl57,plain,
( !!
@ ^ [Y0: tp__ty_2Enum_2Enum] :
( ( surj__ty_2Enum_2Enum @ ( ap @ c_2Einteger_2ENum @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ Y0 ) ) ) )
= Y0 ) ),
inference(cnf,[status(esa)],[conj_thm_2Einteger_2ENUM__OF__INT]) ).
thf(conj_thm_2Einteger_2EINT__LT__CALCULATE,axiom,
! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__lt @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__lt @ ( ap @ c_2Einteger_2Eint__neg @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ V1m ) ) @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__lt @ ( ap @ c_2Einteger_2Eint__neg @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
<=> ( ( V1m != fo__c_2Enum_2E0 )
| ( V0n != fo__c_2Enum_2E0 ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__lt @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) )
<=> $false ) ) ).
thf(zip_derived_cl56,plain,
( !!
@ ^ [Y0: tp__ty_2Enum_2Enum] :
( !!
@ ^ [Y1: tp__ty_2Enum_2Enum] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__lt @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ Y0 ) ) ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ Y1 ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ Y0 ) ) @ ( inj__ty_2Enum_2Enum @ Y1 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__lt @ ( ap @ c_2Einteger_2Eint__neg @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ Y0 ) ) ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ Y1 ) ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Eprim__rec_2E_3C @ ( inj__ty_2Enum_2Enum @ Y1 ) ) @ ( inj__ty_2Enum_2Enum @ Y0 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__lt @ ( ap @ c_2Einteger_2Eint__neg @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ Y0 ) ) ) ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ Y1 ) ) ) )
<=> ( ( Y1 != fo__c_2Enum_2E0 )
| ( Y0 != fo__c_2Enum_2E0 ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__lt @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ Y0 ) ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ Y1 ) ) ) ) )
<=> $false ) ) ) ),
inference(cnf,[status(esa)],[conj_thm_2Einteger_2EINT__LT__CALCULATE]) ).
thf(stp_eq_fo_c_2Einteger_2ENum,axiom,
! [X0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Enum_2Enum @ ( fo__c_2Einteger_2ENum @ X0 ) )
= ( ap @ c_2Einteger_2ENum @ ( inj__ty_2Einteger_2Eint @ X0 ) ) ) ).
thf(zip_derived_cl26,plain,
( !!
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Enum_2Enum @ ( fo__c_2Einteger_2ENum @ Y0 ) )
= ( ap @ c_2Einteger_2ENum @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[stp_eq_fo_c_2Einteger_2ENum]) ).
thf(stp_inj_surj_ty_2Enum_2Enum,axiom,
! [X: tp__ty_2Enum_2Enum] :
( ( surj__ty_2Enum_2Enum @ ( inj__ty_2Enum_2Enum @ X ) )
= X ) ).
thf(zip_derived_cl22,plain,
( !!
@ ^ [Y0: tp__ty_2Enum_2Enum] :
( ( surj__ty_2Enum_2Enum @ ( inj__ty_2Enum_2Enum @ Y0 ) )
= Y0 ) ),
inference(cnf,[status(esa)],[stp_inj_surj_ty_2Enum_2Enum]) ).
thf(stp_iso_mem_ty_2Enum_2Enum,axiom,
! [X: $i] :
( ( mem @ X @ ty_2Enum_2Enum )
=> ( X
= ( inj__ty_2Enum_2Enum @ ( surj__ty_2Enum_2Enum @ X ) ) ) ) ).
thf(zip_derived_cl24,plain,
( !!
@ ^ [Y0: $i] :
( ( mem @ Y0 @ ty_2Enum_2Enum )
=> ( Y0
= ( inj__ty_2Enum_2Enum @ ( surj__ty_2Enum_2Enum @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[stp_iso_mem_ty_2Enum_2Enum]) ).
thf(stp_inj_mem_ty_2Einteger_2Eint,axiom,
! [X: tp__ty_2Einteger_2Eint] : ( mem @ ( inj__ty_2Einteger_2Eint @ X ) @ ty_2Einteger_2Eint ) ).
thf(zip_derived_cl18,plain,
( !!
@ ^ [Y0: tp__ty_2Einteger_2Eint] : ( mem @ ( inj__ty_2Einteger_2Eint @ Y0 ) @ ty_2Einteger_2Eint ) ),
inference(cnf,[status(esa)],[stp_inj_mem_ty_2Einteger_2Eint]) ).
thf(mem_c_2Einteger_2Eint__lt,axiom,
mem @ c_2Einteger_2Eint__lt @ ( arr @ ty_2Einteger_2Eint @ ( arr @ ty_2Einteger_2Eint @ bool ) ) ).
thf(zip_derived_cl29,plain,
mem @ c_2Einteger_2Eint__lt @ ( arr @ ty_2Einteger_2Eint @ ( arr @ ty_2Einteger_2Eint @ bool ) ),
inference(cnf,[status(esa)],[mem_c_2Einteger_2Eint__lt]) ).
thf(mem_c_2Ebool_2EF,axiom,
mem @ c_2Ebool_2EF @ bool ).
thf(zip_derived_cl11,plain,
mem @ c_2Ebool_2EF @ bool,
inference(cnf,[status(esa)],[mem_c_2Ebool_2EF]) ).
thf(ap_tp,axiom,
! [A: del,B: del,F: $i] :
( ( mem @ F @ ( arr @ A @ B ) )
=> ! [X: $i] :
( ( mem @ X @ A )
=> ( mem @ ( ap @ F @ X ) @ B ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: del] :
( !!
@ ^ [Y1: del] :
( !!
@ ^ [Y2: $i] :
( ( mem @ Y2 @ ( arr @ Y0 @ Y1 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( mem @ Y3 @ Y0 )
=> ( mem @ ( ap @ Y2 @ Y3 ) @ Y1 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(ax_false_p,axiom,
~ ( p @ c_2Ebool_2EF ) ).
thf(zip_derived_cl12,plain,
~ ( p @ c_2Ebool_2EF ),
inference(cnf,[status(esa)],[ax_false_p]) ).
thf(stp_eq_fo_c_2Enum_2E0,axiom,
( ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 )
= c_2Enum_2E0 ) ).
thf(zip_derived_cl42,plain,
( ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 )
= c_2Enum_2E0 ),
inference(cnf,[status(esa)],[stp_eq_fo_c_2Enum_2E0]) ).
thf(conj_thm_2Einteger_2EINT__NEG__0,axiom,
( ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ).
thf(zip_derived_cl55,plain,
( ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ),
inference(cnf,[status(esa)],[conj_thm_2Einteger_2EINT__NEG__0]) ).
thf(stp_iso_mem_o,axiom,
! [X: $i] :
( ( mem @ X @ bool )
=> ( X
= ( inj__o @ ( p @ X ) ) ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i] :
( ( mem @ Y0 @ bool )
=> ( Y0
= ( inj__o @ ( p @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[stp_iso_mem_o]) ).
thf(stp_eq_fo_c_2Einteger_2Eint__neg,axiom,
! [X0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X0 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X0 ) ) ) ).
thf(zip_derived_cl21,plain,
( !!
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ Y0 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[stp_eq_fo_c_2Einteger_2Eint__neg]) ).
thf(stp_eq_fo_c_2Einteger_2Eint__of__num,axiom,
! [X0: tp__ty_2Enum_2Enum] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__of__num @ X0 ) )
= ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ).
thf(zip_derived_cl28,plain,
( !!
@ ^ [Y0: tp__ty_2Enum_2Enum] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__of__num @ Y0 ) )
= ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[stp_eq_fo_c_2Einteger_2Eint__of__num]) ).
thf(stp_inj_surj_ty_2Einteger_2Eint,axiom,
! [X: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ X ) )
= X ) ).
thf(zip_derived_cl17,plain,
( !!
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ Y0 ) )
= Y0 ) ),
inference(cnf,[status(esa)],[stp_inj_surj_ty_2Einteger_2Eint]) ).
thf(zip_derived_cl1523,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl54,zip_derived_cl62,zip_derived_cl44,zip_derived_cl43,zip_derived_cl20,zip_derived_cl58,zip_derived_cl61,zip_derived_cl41,zip_derived_cl57,zip_derived_cl56,zip_derived_cl26,zip_derived_cl22,zip_derived_cl24,zip_derived_cl18,zip_derived_cl29,zip_derived_cl11,zip_derived_cl3,zip_derived_cl12,zip_derived_cl42,zip_derived_cl55,zip_derived_cl2,zip_derived_cl21,zip_derived_cl28,zip_derived_cl17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP015^2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.b01UVgz774 true
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 13:38:35 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.54/0.67 % Total configuration time : 828
% 0.54/0.67 % Estimated wc time : 1656
% 0.54/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 47.13/6.59 % Solved by lams/15_e_short1.sh.
% 47.13/6.59 % done 134 iterations in 5.798s
% 47.13/6.59 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 47.13/6.59 % SZS output start Refutation
% See solution above
% 47.13/6.59
% 47.13/6.59
% 47.13/6.59 % Terminating...
% 47.13/6.68 % Runner terminated.
% 47.13/6.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------