TSTP Solution File: ITP013_2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP013_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.DqxG91IGlx true
% Computer : n021.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 05:21:09 EDT 2023
% Result : Theorem 0.68s 1.34s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 43
% Syntax : Number of formulae : 90 ( 31 unt; 28 typ; 0 def)
% Number of atoms : 126 ( 29 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1137 ( 60 ~; 48 |; 2 &;1013 @)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 5 ( 3 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 12 con; 0-2 aty)
% Number of variables : 88 ( 0 ^; 88 !; 0 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(del_type,type,
del: $tType ).
thf(tp__ty_2Enum_2Enum_type,type,
tp__ty_2Enum_2Enum: $tType ).
thf(tp__o_type,type,
tp__o: $tType ).
thf(sk__2_type,type,
sk__2: del ).
thf(mem_type,type,
mem: $i > del > $o ).
thf(c_2Earithmetic_2E_2D_type,type,
c_2Earithmetic_2E_2D: $i ).
thf(ty_2Enum_2Enum_type,type,
ty_2Enum_2Enum: del ).
thf(p_type,type,
p: $i > $o ).
thf(fo__c_2Earithmetic_2E_2D_type,type,
fo__c_2Earithmetic_2E_2D: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum ).
thf(c_2Ewords_2Eword__sub_type,type,
c_2Ewords_2Eword__sub: del > $i ).
thf(fo__c_2Earithmetic_2E_3C_3D_type,type,
fo__c_2Earithmetic_2E_3C_3D: tp__ty_2Enum_2Enum > tp__ty_2Enum_2Enum > tp__o ).
thf(c_2Earithmetic_2E_2B_type,type,
c_2Earithmetic_2E_2B: $i ).
thf(inj__ty_2Enum_2Enum_type,type,
inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i ).
thf(ap_type,type,
ap: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: tp__ty_2Enum_2Enum ).
thf(ty_2Efcp_2Ecart_type,type,
ty_2Efcp_2Ecart: del > del > del ).
thf(arr_type,type,
arr: del > del > del ).
thf(c_2Ewords_2En2w_type,type,
c_2Ewords_2En2w: del > $i ).
thf(c_2Ebool_2ET_type,type,
c_2Ebool_2ET: $i ).
thf(inj__o_type,type,
inj__o: tp__o > $i ).
thf(c_2Ebool_2ECOND_type,type,
c_2Ebool_2ECOND: del > $i ).
thf(c_2Ewords_2Eword__add_type,type,
c_2Ewords_2Eword__add: del > $i ).
thf(bool_type,type,
bool: del ).
thf(c_2Earithmetic_2E_3C_3D_type,type,
c_2Earithmetic_2E_3C_3D: $i ).
thf(fo__c_2Ebool_2ET_type,type,
fo__c_2Ebool_2ET: tp__o ).
thf(c_2Ewords_2Eword__2comp_type,type,
c_2Ewords_2Eword__2comp: del > $i ).
thf(fo__c_2Ebool_2EF_type,type,
fo__c_2Ebool_2EF: tp__o ).
thf(sk__3_type,type,
sk__3: tp__ty_2Enum_2Enum ).
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_cl36,plain,
! [X0: del] : ( mem @ ( c_2Ewords_2En2w @ X0 ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference(cnf,[status(esa)],[mem_c_2Ewords_2En2w]) ).
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_cl0,plain,
! [X0: $i,X1: del,X2: $i,X3: del] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl780,plain,
! [X0: del,X1: $i] :
( ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X1 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl0]) ).
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_cl37,plain,
! [X0: del] : ( mem @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( arr @ ( ty_2Efcp_2Ecart @ bool @ X0 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference(cnf,[status(esa)],[mem_c_2Ewords_2Eword__2comp]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: del,X2: $i,X3: del] :
( ~ ( mem @ X0 @ X1 )
| ( mem @ ( ap @ X2 @ X0 ) @ X3 )
| ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl790,plain,
! [X0: del,X1: $i] :
( ~ ( mem @ X1 @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ X1 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl0]) ).
thf(zip_derived_cl780_002,plain,
! [X0: del,X1: $i] :
( ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X1 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl0]) ).
thf(zip_derived_cl780_003,plain,
! [X0: del,X1: $i] :
( ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X1 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl0]) ).
thf(zip_derived_cl780_004,plain,
! [X0: del,X1: $i] :
( ~ ( mem @ X1 @ ty_2Enum_2Enum )
| ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ X1 ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl0]) ).
thf(conj_thm_2Ewords_2En2w__sub,conjecture,
! [A_27a: del,V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
=> ( ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
= ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A_27a: del,V0a: tp__ty_2Enum_2Enum,V1b: tp__ty_2Enum_2Enum] :
( ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V1b ) ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) )
=> ( ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V0a ) ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) )
= ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0a ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1b ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_thm_2Ewords_2En2w__sub]) ).
thf(zip_derived_cl85,plain,
p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(stp_eq_fo_c_2Earithmetic_2E_3C_3D,axiom,
! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
( ( inj__o @ ( fo__c_2Earithmetic_2E_3C_3D @ X0 @ X1 ) )
= ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
( ( inj__o @ ( fo__c_2Earithmetic_2E_3C_3D @ X0 @ X1 ) )
= ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ),
inference(cnf,[status(esa)],[stp_eq_fo_c_2Earithmetic_2E_3C_3D]) ).
thf(stp_inj_mem_o,axiom,
! [X: tp__o] : ( mem @ ( inj__o @ X ) @ bool ) ).
thf(zip_derived_cl8,plain,
! [X0: tp__o] : ( mem @ ( inj__o @ X0 ) @ bool ),
inference(cnf,[status(esa)],[stp_inj_mem_o]) ).
thf(mem_c_2Ebool_2ET,axiom,
mem @ c_2Ebool_2ET @ bool ).
thf(zip_derived_cl22,plain,
mem @ c_2Ebool_2ET @ bool,
inference(cnf,[status(esa)],[mem_c_2Ebool_2ET]) ).
thf(boolext,axiom,
! [Q: $i] :
( ( mem @ Q @ bool )
=> ! [R: $i] :
( ( mem @ R @ bool )
=> ( ( ( p @ Q )
<=> ( p @ R ) )
=> ( Q = R ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( mem @ X0 @ bool )
| ( X1 = X0 )
| ~ ( p @ X1 )
| ~ ( p @ X0 )
| ~ ( mem @ X1 @ bool ) ),
inference(cnf,[status(esa)],[boolext]) ).
thf(zip_derived_cl557,plain,
! [X0: $i] :
( ( X0 = c_2Ebool_2ET )
| ~ ( p @ X0 )
| ~ ( p @ c_2Ebool_2ET )
| ~ ( mem @ X0 @ bool ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl1]) ).
thf(ax_true_p,axiom,
p @ c_2Ebool_2ET ).
thf(zip_derived_cl24,plain,
p @ c_2Ebool_2ET,
inference(cnf,[status(esa)],[ax_true_p]) ).
thf(zip_derived_cl558,plain,
! [X0: $i] :
( ( X0 = c_2Ebool_2ET )
| ~ ( p @ X0 )
| ~ ( mem @ X0 @ bool ) ),
inference(demod,[status(thm)],[zip_derived_cl557,zip_derived_cl24]) ).
thf(zip_derived_cl574,plain,
! [X0: tp__o] :
( ( ( inj__o @ X0 )
= c_2Ebool_2ET )
| ~ ( p @ ( inj__o @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl558]) ).
thf(zip_derived_cl734,plain,
! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
( ( ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ X1 ) ) @ ( inj__ty_2Enum_2Enum @ X0 ) )
= c_2Ebool_2ET )
| ~ ( p @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ X1 ) ) @ ( inj__ty_2Enum_2Enum @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl574]) ).
thf(zip_derived_cl748,plain,
( ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) )
= c_2Ebool_2ET ),
inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl734]) ).
thf(conj_thm_2Ewords_2EWORD__LITERAL__ADD,axiom,
! [A_27a: del,A_27b: del] :
( ! [V2m: tp__ty_2Enum_2Enum,V3n: tp__ty_2Enum_2Enum] :
( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27b ) @ ( ap @ ( c_2Ewords_2En2w @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27b ) @ ( ap @ ( c_2Ewords_2En2w @ A_27b ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ A_27b ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ A_27b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V2m ) ) @ ( inj__ty_2Enum_2Enum @ V3n ) ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27b ) @ ( ap @ ( c_2Ewords_2En2w @ A_27b ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ V3n ) ) @ ( inj__ty_2Enum_2Enum @ V2m ) ) ) ) ) )
& ! [V0m: tp__ty_2Enum_2Enum,V1n: tp__ty_2Enum_2Enum] :
( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V0m ) ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) )
= ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2B @ ( inj__ty_2Enum_2Enum @ V0m ) ) @ ( inj__ty_2Enum_2Enum @ V1n ) ) ) ) ) ) ).
thf(zip_derived_cl83,plain,
! [X0: del,X1: tp__ty_2Enum_2Enum,X2: tp__ty_2Enum_2Enum] :
( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( inj__ty_2Enum_2Enum @ X2 ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) @ ( ap @ ( ap @ c_2Earithmetic_2E_3C_3D @ ( inj__ty_2Enum_2Enum @ X1 ) ) @ ( inj__ty_2Enum_2Enum @ X2 ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X2 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X1 ) ) @ ( inj__ty_2Enum_2Enum @ X2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[conj_thm_2Ewords_2EWORD__LITERAL__ADD]) ).
thf(zip_derived_cl1111,plain,
! [X0: del] :
( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) ) )
= ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) @ c_2Ebool_2ET ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl748,zip_derived_cl83]) ).
thf(conj_thm_2Ebool_2Ebool__case__thm,axiom,
! [A_27a: del] :
( ! [V2t1: $i] :
( ( mem @ V2t1 @ A_27a )
=> ! [V3t2: $i] :
( ( mem @ V3t2 @ A_27a )
=> ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( inj__o @ fo__c_2Ebool_2EF ) ) @ V2t1 ) @ V3t2 )
= V3t2 ) ) )
& ! [V0t1: $i] :
( ( mem @ V0t1 @ A_27a )
=> ! [V1t2: $i] :
( ( mem @ V1t2 @ A_27a )
=> ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ A_27a ) @ ( inj__o @ fo__c_2Ebool_2ET ) ) @ V0t1 ) @ V1t2 )
= V0t1 ) ) ) ) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: del,X2: $i] :
( ~ ( mem @ X0 @ X1 )
| ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ X1 ) @ ( inj__o @ fo__c_2Ebool_2ET ) ) @ X2 ) @ X0 )
= X2 )
| ~ ( mem @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[conj_thm_2Ebool_2Ebool__case__thm]) ).
thf(stp_eq_fo_c_2Ebool_2ET,axiom,
( ( inj__o @ fo__c_2Ebool_2ET )
= c_2Ebool_2ET ) ).
thf(zip_derived_cl23,plain,
( ( inj__o @ fo__c_2Ebool_2ET )
= c_2Ebool_2ET ),
inference(cnf,[status(esa)],[stp_eq_fo_c_2Ebool_2ET]) ).
thf(zip_derived_cl1049,plain,
! [X0: $i,X1: del,X2: $i] :
( ~ ( mem @ X0 @ X1 )
| ( ( ap @ ( ap @ ( ap @ ( c_2Ebool_2ECOND @ X1 ) @ c_2Ebool_2ET ) @ X2 ) @ X0 )
= X2 )
| ~ ( mem @ X2 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl23]) ).
thf(zip_derived_cl1577,plain,
! [X0: del] :
( ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ( ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) ) )
= ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1111,zip_derived_cl1049]) ).
thf(ax_thm_2Ewords_2Eword__sub__def,axiom,
! [A_27a: del,V0v: $i] :
( ( mem @ V0v @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ! [V1w: $i] :
( ( mem @ V1w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
=> ( ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ A_27a ) @ V0v ) @ V1w )
= ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ A_27a ) @ V0v ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ A_27a ) @ V1w ) ) ) ) ) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: del,X2: $i] :
( ~ ( mem @ X0 @ ( ty_2Efcp_2Ecart @ bool @ X1 ) )
| ( ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ X1 ) @ X2 ) @ X0 )
= ( ap @ ( ap @ ( c_2Ewords_2Eword__add @ X1 ) @ X2 ) @ ( ap @ ( c_2Ewords_2Eword__2comp @ X1 ) @ X0 ) ) )
| ~ ( mem @ X2 @ ( ty_2Efcp_2Ecart @ bool @ X1 ) ) ),
inference(cnf,[status(esa)],[ax_thm_2Ewords_2Eword__sub__def]) ).
thf(zip_derived_cl1595,plain,
! [X0: del] :
( ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) )
| ( ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) )
= ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1577,zip_derived_cl82]) ).
thf(zip_derived_cl86,plain,
( ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) )
!= ( ap @ ( ap @ ( c_2Ewords_2Eword__sub @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1623,plain,
( ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ( ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) )
!= ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1595,zip_derived_cl86]) ).
thf(zip_derived_cl1624,plain,
( ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1623]) ).
thf(zip_derived_cl4026,plain,
( ~ ( mem @ ( inj__ty_2Enum_2Enum @ sk__4 ) @ ty_2Enum_2Enum )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl780,zip_derived_cl1624]) ).
thf(stp_inj_mem_ty_2Enum_2Enum,axiom,
! [X: tp__ty_2Enum_2Enum] : ( mem @ ( inj__ty_2Enum_2Enum @ X ) @ ty_2Enum_2Enum ) ).
thf(zip_derived_cl27,plain,
! [X0: tp__ty_2Enum_2Enum] : ( mem @ ( inj__ty_2Enum_2Enum @ X0 ) @ ty_2Enum_2Enum ),
inference(cnf,[status(esa)],[stp_inj_mem_ty_2Enum_2Enum]) ).
thf(zip_derived_cl4027,plain,
( ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4026,zip_derived_cl27]) ).
thf(zip_derived_cl4317,plain,
( ~ ( mem @ ( inj__ty_2Enum_2Enum @ sk__3 ) @ ty_2Enum_2Enum )
| ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl780,zip_derived_cl4027]) ).
thf(zip_derived_cl27_005,plain,
! [X0: tp__ty_2Enum_2Enum] : ( mem @ ( inj__ty_2Enum_2Enum @ X0 ) @ ty_2Enum_2Enum ),
inference(cnf,[status(esa)],[stp_inj_mem_ty_2Enum_2Enum]) ).
thf(zip_derived_cl4318,plain,
( ~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) )
| ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4317,zip_derived_cl27]) ).
thf(zip_derived_cl4319,plain,
( ~ ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ty_2Enum_2Enum )
| ~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl780,zip_derived_cl4318]) ).
thf(stp_eq_fo_c_2Earithmetic_2E_2D,axiom,
! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2E_2D @ X0 @ X1 ) )
= ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] :
( ( inj__ty_2Enum_2Enum @ ( fo__c_2Earithmetic_2E_2D @ X0 @ X1 ) )
= ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ( inj__ty_2Enum_2Enum @ X1 ) ) ),
inference(cnf,[status(esa)],[stp_eq_fo_c_2Earithmetic_2E_2D]) ).
thf(zip_derived_cl27_006,plain,
! [X0: tp__ty_2Enum_2Enum] : ( mem @ ( inj__ty_2Enum_2Enum @ X0 ) @ ty_2Enum_2Enum ),
inference(cnf,[status(esa)],[stp_inj_mem_ty_2Enum_2Enum]) ).
thf(zip_derived_cl709,plain,
! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] : ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X1 ) ) @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ty_2Enum_2Enum ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl27]) ).
thf(zip_derived_cl4320,plain,
~ ( mem @ ( ap @ ( c_2Ewords_2Eword__2comp @ sk__2 ) @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl4319,zip_derived_cl709]) ).
thf(zip_derived_cl4502,plain,
~ ( mem @ ( ap @ ( c_2Ewords_2En2w @ sk__2 ) @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) ) @ ( ty_2Efcp_2Ecart @ bool @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl790,zip_derived_cl4320]) ).
thf(zip_derived_cl4515,plain,
~ ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ sk__4 ) ) @ ( inj__ty_2Enum_2Enum @ sk__3 ) ) @ ty_2Enum_2Enum ),
inference('s_sup-',[status(thm)],[zip_derived_cl780,zip_derived_cl4502]) ).
thf(zip_derived_cl709_007,plain,
! [X0: tp__ty_2Enum_2Enum,X1: tp__ty_2Enum_2Enum] : ( mem @ ( ap @ ( ap @ c_2Earithmetic_2E_2D @ ( inj__ty_2Enum_2Enum @ X1 ) ) @ ( inj__ty_2Enum_2Enum @ X0 ) ) @ ty_2Enum_2Enum ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl27]) ).
thf(zip_derived_cl4516,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl4515,zip_derived_cl709]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP013_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DqxG91IGlx true
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 14:32:57 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.68/1.34 % Solved by fo/fo6_bce.sh.
% 0.68/1.34 % BCE start: 87
% 0.68/1.34 % BCE eliminated: 3
% 0.68/1.34 % PE start: 84
% 0.68/1.34 logic: eq
% 0.68/1.34 % PE eliminated: 4
% 0.68/1.34 % done 633 iterations in 0.588s
% 0.68/1.34 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.68/1.34 % SZS output start Refutation
% See solution above
% 0.68/1.34
% 0.68/1.34
% 0.68/1.34 % Terminating...
% 0.68/1.45 % Runner terminated.
% 0.68/1.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------