TSTP Solution File: SEV102^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV102^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.V8xxeDPuMU true
% Computer : n029.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 19:59:36 EDT 2023
% Result : Theorem 63.55s 8.92s
% Output : Refutation 63.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 18
% Syntax : Number of formulae : 101 ( 4 unt; 13 typ; 0 def)
% Number of atoms : 565 ( 240 equ; 0 cnn)
% Maximal formula atoms : 24 ( 6 avg)
% Number of connectives : 1182 ( 99 ~; 83 |; 117 &; 674 @)
% ( 0 <=>; 88 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 93 ( 93 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 12 usr; 4 con; 0-2 aty)
% ( 64 !!; 57 ??; 0 @@+; 0 @@-)
% Number of variables : 350 ( 201 ^; 131 !; 18 ?; 350 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk16_type',type,
'#sk16': ( a > a ) > a ).
thf('#_fresh_sk42_type',type,
'#_fresh_sk42': ( a > a ) > a > a ).
thf('#sk2_type',type,
'#sk2': a > $o ).
thf('#sk1_type',type,
'#sk1': a > $o ).
thf('#sk10_type',type,
'#sk10': ( a > a ) > a ).
thf('#sk5_type',type,
'#sk5': a > a ).
thf('#sk20_type',type,
'#sk20': a > a ).
thf('#sk19_type',type,
'#sk19': a > a ).
thf('#sk4_type',type,
'#sk4': a > a ).
thf('#l_lift25177_type',type,
'#l_lift25177': ( a > a ) > a > a ).
thf('#sk3_type',type,
'#sk3': a > $o ).
thf('#_fresh_sk61_type',type,
'#_fresh_sk61': ( a > a ) > a > a ).
thf(cEQP_1C_pme,conjecture,
! [Xx: a > $o,Xy: a > $o,Xz: a > $o] :
( ( ? [Xs: a > a] :
( ! [Xy0: a] :
( ( Xy @ Xy0 )
=> ? [Xy_52: a] :
( ( ^ [Xx0: a] :
( ( Xx @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) ) ) )
= ( ^ [Xx: a,Xy: a] : ( Xx = Xy )
@ Xy_52 ) ) )
& ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( Xy @ ( Xs @ Xx0 ) ) ) )
& ? [Xs: a > a] :
( ! [Xy0: a] :
( ( Xz @ Xy0 )
=> ? [Xy_53: a] :
( ( ^ [Xx0: a] :
( ( Xy @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) ) ) )
= ( ^ [Xx: a,Xy: a] : ( Xx = Xy )
@ Xy_53 ) ) )
& ! [Xx0: a] :
( ( Xy @ Xx0 )
=> ( Xz @ ( Xs @ Xx0 ) ) ) ) )
=> ? [Xs: a > a] :
( ! [Xy0: a] :
( ( Xz @ Xy0 )
=> ? [Xy_55: a] :
( ( ^ [Xx0: a] :
( ( Xx @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) ) ) )
= ( ^ [Xx: a,Xy: a] : ( Xx = Xy )
@ Xy_55 ) ) )
& ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( Xz @ ( Xs @ Xx0 ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: a > $o,X6: a > $o,X8: a > $o] :
( ( ? [X18: a > a] :
( ! [X24: a] :
( ( X6 @ X24 )
=> ( X8 @ ( X18 @ X24 ) ) )
& ! [X20: a] :
( ( X8 @ X20 )
=> ? [X22: a] :
( ( ^ [V_3: a] :
( ( X20
= ( X18 @ V_3 ) )
& ( X6 @ V_3 ) ) )
= ( ^ [V_4: a] : ( X22 = V_4 ) ) ) ) )
& ? [X10: a > a] :
( ! [X16: a] :
( ( X4 @ X16 )
=> ( X6 @ ( X10 @ X16 ) ) )
& ! [X12: a] :
( ( X6 @ X12 )
=> ? [X14: a] :
( ( ^ [V_1: a] :
( ( X12
= ( X10 @ V_1 ) )
& ( X4 @ V_1 ) ) )
= ( ^ [V_2: a] : ( X14 = V_2 ) ) ) ) ) )
=> ? [X26: a > a] :
( ! [X32: a] :
( ( X4 @ X32 )
=> ( X8 @ ( X26 @ X32 ) ) )
& ! [X28: a] :
( ( X8 @ X28 )
=> ? [X30: a] :
( ( ^ [V_5: a] :
( ( X28
= ( X26 @ V_5 ) )
& ( X4 @ V_5 ) ) )
= ( ^ [V_6: a] : ( X30 = V_6 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: a > $o,X6: a > $o,X8: a > $o] :
( ( ? [X18: a > a] :
( ! [X24: a] :
( ( X6 @ X24 )
=> ( X8 @ ( X18 @ X24 ) ) )
& ! [X20: a] :
( ( X8 @ X20 )
=> ? [X22: a] :
( ( ^ [V_3: a] :
( ( X20
= ( X18 @ V_3 ) )
& ( X6 @ V_3 ) ) )
= ( ^ [V_4: a] : ( X22 = V_4 ) ) ) ) )
& ? [X10: a > a] :
( ! [X16: a] :
( ( X4 @ X16 )
=> ( X6 @ ( X10 @ X16 ) ) )
& ! [X12: a] :
( ( X6 @ X12 )
=> ? [X14: a] :
( ( ^ [V_1: a] :
( ( X12
= ( X10 @ V_1 ) )
& ( X4 @ V_1 ) ) )
= ( ^ [V_2: a] : ( X14 = V_2 ) ) ) ) ) )
=> ? [X26: a > a] :
( ! [X32: a] :
( ( X4 @ X32 )
=> ( X8 @ ( X26 @ X32 ) ) )
& ! [X28: a] :
( ( X8 @ X28 )
=> ? [X30: a] :
( ( ^ [V_5: a] :
( ( X28
= ( X26 @ V_5 ) )
& ( X4 @ V_5 ) ) )
= ( ^ [V_6: a] : ( X30 = V_6 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a > $o] :
( ( ( ??
@ ^ [Y3: a > a] :
( ( !!
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2 @ ( Y3 @ Y4 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( ??
@ ^ [Y5: a] :
( ( ^ [Y6: a] :
( ( Y4
= ( Y3 @ Y6 ) )
& ( Y1 @ Y6 ) ) )
= ( ^ [Y6: a] : ( Y5 = Y6 ) ) ) ) ) ) ) )
& ( ??
@ ^ [Y3: a > a] :
( ( !!
@ ^ [Y4: a] :
( ( Y0 @ Y4 )
=> ( Y1 @ ( Y3 @ Y4 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( ??
@ ^ [Y5: a] :
( ( ^ [Y6: a] :
( ( Y4
= ( Y3 @ Y6 ) )
& ( Y0 @ Y6 ) ) )
= ( ^ [Y6: a] : ( Y5 = Y6 ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y3: a > a] :
( ( !!
@ ^ [Y4: a] :
( ( Y0 @ Y4 )
=> ( Y2 @ ( Y3 @ Y4 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( ??
@ ^ [Y5: a] :
( ( ^ [Y6: a] :
( ( Y4
= ( Y3 @ Y6 ) )
& ( Y0 @ Y6 ) ) )
= ( ^ [Y6: a] : ( Y5 = Y6 ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a > $o] :
( ( ( ??
@ ^ [Y3: a > a] :
( ( !!
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2 @ ( Y3 @ Y4 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( ??
@ ^ [Y5: a] :
( ( ^ [Y6: a] :
( ( Y4
= ( Y3 @ Y6 ) )
& ( Y1 @ Y6 ) ) )
= ( a = Y5 ) ) ) ) ) ) )
& ( ??
@ ^ [Y3: a > a] :
( ( !!
@ ^ [Y4: a] :
( ( Y0 @ Y4 )
=> ( Y1 @ ( Y3 @ Y4 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( ??
@ ^ [Y5: a] :
( ( ^ [Y6: a] :
( ( Y4
= ( Y3 @ Y6 ) )
& ( Y0 @ Y6 ) ) )
= ( a = Y5 ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y3: a > a] :
( ( !!
@ ^ [Y4: a] :
( ( Y0 @ Y4 )
=> ( Y2 @ ( Y3 @ Y4 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( ??
@ ^ [Y5: a] :
( ( ^ [Y6: a] :
( ( Y4
= ( Y3 @ Y6 ) )
& ( Y0 @ Y6 ) ) )
= ( a = Y5 ) ) ) ) ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( ??
@ ^ [Y2: a > a] :
( ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1 @ ( Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( ??
@ ^ [Y4: a] :
( ( ^ [Y5: a] :
( ( Y3
= ( Y2 @ Y5 ) )
& ( Y0 @ Y5 ) ) )
= ( a = Y4 ) ) ) ) ) ) )
& ( ??
@ ^ [Y2: a > a] :
( ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( Y0 @ ( Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( ??
@ ^ [Y4: a] :
( ( ^ [Y5: a] :
( ( Y3
= ( Y2 @ Y5 ) )
& ( '#sk1' @ Y5 ) ) )
= ( a = Y4 ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y2: a > a] :
( ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( Y1 @ ( Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( ??
@ ^ [Y4: a] :
( ( ^ [Y5: a] :
( ( Y3
= ( Y2 @ Y5 ) )
& ( '#sk1' @ Y5 ) ) )
= ( a = Y4 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( ( ( ??
@ ^ [Y1: a > a] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y2 )
=> ( Y0 @ ( Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( ??
@ ^ [Y3: a] :
( ( ^ [Y4: a] :
( ( Y2
= ( Y1 @ Y4 ) )
& ( '#sk2' @ Y4 ) ) )
= ( a = Y3 ) ) ) ) ) ) )
& ( ??
@ ^ [Y1: a > a] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ ( Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y2 )
=> ( ??
@ ^ [Y3: a] :
( ( ^ [Y4: a] :
( ( Y2
= ( Y1 @ Y4 ) )
& ( '#sk1' @ Y4 ) ) )
= ( a = Y3 ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: a > a] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( Y0 @ ( Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( ??
@ ^ [Y3: a] :
( ( ^ [Y4: a] :
( ( Y2
= ( Y1 @ Y4 ) )
& ( '#sk1' @ Y4 ) ) )
= ( a = Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
~ ( ( ( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
=> ( '#sk3' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( ^ [Y3: a] :
( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk2' @ Y3 ) ) )
= ( a = Y2 ) ) ) ) ) ) )
& ( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( ^ [Y3: a] :
( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk1' @ Y3 ) ) )
= ( a = Y2 ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk3' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( ^ [Y3: a] :
( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk1' @ Y3 ) ) )
= ( a = Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
~ ( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk3' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( ^ [Y3: a] :
( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk1' @ Y3 ) ) )
= ( a = Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: a > a] :
~ ( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ ( X2 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk3' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk1' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
! [X2: a > a] :
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ ( X2 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk3' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk1' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl17,plain,
! [X2: a > a] :
( ~ ( ( '#sk1' @ ( '#sk10' @ X2 ) )
=> ( '#sk3' @ ( X2 @ ( '#sk10' @ X2 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk3' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk1' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl22,plain,
! [X2: a > a] :
( ( '#sk1' @ ( '#sk10' @ X2 ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk3' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk1' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl28,plain,
! [X2: a > a] :
( ~ ( ( '#sk3' @ ( '#sk16' @ X2 ) )
=> ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( ( '#sk16' @ X2 )
= ( X2 @ Y1 ) )
& ( '#sk1' @ Y1 ) ) )
= ( a = Y0 ) ) ) )
| ( '#sk1' @ ( '#sk10' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl32,plain,
! [X2: a > a] :
( ( '#sk3' @ ( '#sk16' @ X2 ) )
| ( '#sk1' @ ( '#sk10' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl5,plain,
( ( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
=> ( '#sk3' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( ^ [Y3: a] :
( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk2' @ Y3 ) ) )
= ( a = Y2 ) ) ) ) ) ) )
& ( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( ^ [Y3: a] :
( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk1' @ Y3 ) ) )
= ( a = Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( ^ [Y3: a] :
( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk1' @ Y3 ) ) )
= ( a = Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ ( '#sk5' @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( '#sk5' @ Y2 ) )
& ( '#sk1' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( '#sk5' @ Y2 ) )
& ( '#sk1' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl21,plain,
! [X2: a] :
( ( '#sk2' @ X2 )
=> ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( X2
= ( '#sk5' @ Y1 ) )
& ( '#sk1' @ Y1 ) ) )
= ( a = Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl27,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( X2
= ( '#sk5' @ Y1 ) )
& ( '#sk1' @ Y1 ) ) )
= ( a = Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl31,plain,
! [X2: a] :
( ( ( ^ [Y0: a] :
( ( X2
= ( '#sk5' @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
= ( a
= ( '#sk20' @ X2 ) ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl39,plain,
! [X2: a] :
( ( ( ^ [Y0: a] :
( ( X2
= ( '#sk5' @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
= ( a
= ( '#sk20' @ X2 ) ) )
| ~ ( '#sk2' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl40,plain,
! [X2: a,X4: a] :
( ( ( ^ [Y0: a] :
( ( X2
= ( '#sk5' @ Y0 ) )
& ( '#sk1' @ Y0 ) )
@ X4 )
= ( ( '#sk20' @ X2 )
= X4 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl41,plain,
! [X2: a,X4: a] :
( ( ( ( X2
= ( '#sk5' @ X4 ) )
& ( '#sk1' @ X4 ) )
= ( ( '#sk20' @ X2 )
= X4 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl110,plain,
! [X2: a,X4: a] :
( ( ( X2
= ( '#sk5' @ X4 ) )
& ( '#sk1' @ X4 ) )
| ( ( '#sk20' @ X2 )
!= X4 )
| ~ ( '#sk2' @ X2 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl112,plain,
! [X2: a,X4: a] :
( ( ( X2
= ( '#sk5' @ X4 ) )
& ( '#sk1' @ X4 ) )
| ( ( '#sk20' @ X2 )
!= X4 )
| ~ ( '#sk2' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl110]) ).
thf(zip_derived_cl113,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( ( X2
= ( '#sk5' @ ( '#sk20' @ X2 ) ) )
& ( '#sk1' @ ( '#sk20' @ X2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl200,plain,
! [X2: a] :
( ( '#sk1' @ ( '#sk20' @ X2 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl41_001,plain,
! [X2: a,X4: a] :
( ( ( ( X2
= ( '#sk5' @ X4 ) )
& ( '#sk1' @ X4 ) )
= ( ( '#sk20' @ X2 )
= X4 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl204,plain,
! [X0: a,X1: a] :
( ( ( ( X1
= ( '#sk5' @ ( '#sk20' @ X0 ) ) )
& $true )
= ( ( '#sk20' @ X1 )
= ( '#sk20' @ X0 ) ) )
| ~ ( '#sk2' @ X0 )
| ~ ( '#sk2' @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl41]) ).
thf(zip_derived_cl210,plain,
! [X0: a,X1: a] :
( ( ( X1
= ( '#sk5' @ ( '#sk20' @ X0 ) ) )
= ( ( '#sk20' @ X1 )
= ( '#sk20' @ X0 ) ) )
| ~ ( '#sk2' @ X0 )
| ~ ( '#sk2' @ X1 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl204]) ).
thf(zip_derived_cl3839,plain,
! [X0: a,X1: a] :
( ( X1
= ( '#sk5' @ ( '#sk20' @ X0 ) ) )
| ( ( '#sk20' @ X1 )
!= ( '#sk20' @ X0 ) )
| ~ ( '#sk2' @ X1 )
| ~ ( '#sk2' @ X0 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl3841,plain,
! [X0: a,X1: a] :
( ( X1
= ( '#sk5' @ ( '#sk20' @ X0 ) ) )
| ( ( '#sk20' @ X1 )
!= ( '#sk20' @ X0 ) )
| ~ ( '#sk2' @ X1 )
| ~ ( '#sk2' @ X0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3839]) ).
thf(zip_derived_cl7,plain,
( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
=> ( '#sk3' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( ^ [Y3: a] :
( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk2' @ Y3 ) ) )
= ( a = Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 )
=> ( '#sk3' @ ( '#sk4' @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk3' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( '#sk4' @ Y2 ) )
& ( '#sk2' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 )
=> ( '#sk3' @ ( '#sk4' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl18,plain,
! [X2: a] :
( ( '#sk2' @ X2 )
=> ( '#sk3' @ ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl24,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( '#sk3' @ ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl23,plain,
! [X2: a > a] :
( ~ ( '#sk3' @ ( X2 @ ( '#sk10' @ X2 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk3' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk1' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl29,plain,
! [X2: a > a] :
( ~ ( ( '#sk3' @ ( '#sk16' @ X2 ) )
=> ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( ( '#sk16' @ X2 )
= ( X2 @ Y1 ) )
& ( '#sk1' @ Y1 ) ) )
= ( a = Y0 ) ) ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk10' @ X2 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl34,plain,
! [X2: a > a] :
( ( '#sk3' @ ( '#sk16' @ X2 ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk10' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl53,plain,
! [X0: a > a] :
( ~ ( '#sk2'
@ ( X0
@ ( '#sk10'
@ ^ [Y0: a] : ( '#sk4' @ ( X0 @ Y0 ) ) ) ) )
| ( '#sk3'
@ ( '#sk16'
@ ^ [Y0: a] :
( '#sk4'
@ ( ^ [Y1: a] : ( X0 @ Y1 )
@ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl34]) ).
thf(zip_derived_cl54,plain,
! [X0: a > a] :
( ~ ( '#sk2'
@ ( X0
@ ( '#sk10'
@ ^ [Y0: a] : ( '#sk4' @ ( X0 @ Y0 ) ) ) ) )
| ( '#sk3'
@ ( '#sk16'
@ ^ [Y0: a] : ( '#sk4' @ ( X0 @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl54_002,plain,
! [X0: a > a] :
( ~ ( '#sk2'
@ ( X0
@ ( '#sk10'
@ ^ [Y0: a] : ( '#sk4' @ ( X0 @ Y0 ) ) ) ) )
| ( '#sk3'
@ ( '#sk16'
@ ^ [Y0: a] : ( '#sk4' @ ( X0 @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl20009,plain,
! [X0: a > a,X1: a] :
( ( '#l_lift25177' @ X0 @ X1 )
= ( '#sk4' @ ( X0 @ X1 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl20009_003,plain,
! [X0: a > a,X1: a] :
( ( '#l_lift25177' @ X0 @ X1 )
= ( '#sk4' @ ( X0 @ X1 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl20010,plain,
! [X0: a > a] :
( ~ ( '#sk2' @ ( X0 @ ( '#sk10' @ ( '#l_lift25177' @ X0 ) ) ) )
| ( '#sk3' @ ( '#sk16' @ ( '#l_lift25177' @ X0 ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl54,zip_derived_cl20009,zip_derived_cl20009]) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk3' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( '#sk4' @ Y2 ) )
& ( '#sk2' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl19,plain,
! [X2: a] :
( ( '#sk3' @ X2 )
=> ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( X2
= ( '#sk4' @ Y1 ) )
& ( '#sk2' @ Y1 ) ) )
= ( a = Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl25,plain,
! [X2: a] :
( ~ ( '#sk3' @ X2 )
| ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( X2
= ( '#sk4' @ Y1 ) )
& ( '#sk2' @ Y1 ) ) )
= ( a = Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl30,plain,
! [X2: a] :
( ( ( ^ [Y0: a] :
( ( X2
= ( '#sk4' @ Y0 ) )
& ( '#sk2' @ Y0 ) ) )
= ( a
= ( '#sk19' @ X2 ) ) )
| ~ ( '#sk3' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl36,plain,
! [X2: a] :
( ( ( ^ [Y0: a] :
( ( X2
= ( '#sk4' @ Y0 ) )
& ( '#sk2' @ Y0 ) ) )
= ( a
= ( '#sk19' @ X2 ) ) )
| ~ ( '#sk3' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl37,plain,
! [X2: a,X4: a] :
( ( ( ^ [Y0: a] :
( ( X2
= ( '#sk4' @ Y0 ) )
& ( '#sk2' @ Y0 ) )
@ X4 )
= ( ( '#sk19' @ X2 )
= X4 ) )
| ~ ( '#sk3' @ X2 ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl38,plain,
! [X2: a,X4: a] :
( ( ( ( X2
= ( '#sk4' @ X4 ) )
& ( '#sk2' @ X4 ) )
= ( ( '#sk19' @ X2 )
= X4 ) )
| ~ ( '#sk3' @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl87,plain,
! [X2: a,X4: a] :
( ~ ( ( X2
= ( '#sk4' @ X4 ) )
& ( '#sk2' @ X4 ) )
| ( ( '#sk19' @ X2 )
= X4 )
| ~ ( '#sk3' @ X2 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl90,plain,
! [X2: a,X4: a] :
( ~ ( ( X2
= ( '#sk4' @ X4 ) )
& ( '#sk2' @ X4 ) )
| ( ( '#sk19' @ X2 )
= X4 )
| ~ ( '#sk3' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl121,plain,
! [X2: a,X4: a] :
( ( X2
!= ( '#sk4' @ X4 ) )
| ~ ( '#sk2' @ X4 )
| ~ ( '#sk3' @ X2 )
| ( ( '#sk19' @ X2 )
= X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl122,plain,
! [X2: a,X4: a] :
( ( X2
!= ( '#sk4' @ X4 ) )
| ~ ( '#sk2' @ X4 )
| ~ ( '#sk3' @ X2 )
| ( ( '#sk19' @ X2 )
= X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl121]) ).
thf(zip_derived_cl123,plain,
! [X4: a] :
( ( ( '#sk19' @ ( '#sk4' @ X4 ) )
= X4 )
| ~ ( '#sk3' @ ( '#sk4' @ X4 ) )
| ~ ( '#sk2' @ X4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl122]) ).
thf(zip_derived_cl24_004,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( '#sk3' @ ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl124,plain,
! [X4: a] :
( ~ ( '#sk2' @ X4 )
| ( ( '#sk19' @ ( '#sk4' @ X4 ) )
= X4 ) ),
inference(clc,[status(thm)],[zip_derived_cl123,zip_derived_cl24]) ).
thf(zip_derived_cl38_005,plain,
! [X2: a,X4: a] :
( ( ( ( X2
= ( '#sk4' @ X4 ) )
& ( '#sk2' @ X4 ) )
= ( ( '#sk19' @ X2 )
= X4 ) )
| ~ ( '#sk3' @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl127,plain,
! [X0: a,X1: a] :
( ( ( ( ( '#sk4' @ X0 )
= ( '#sk4' @ X1 ) )
& ( '#sk2' @ X1 ) )
= ( X0 = X1 ) )
| ~ ( '#sk2' @ X0 )
| ~ ( '#sk3' @ ( '#sk4' @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl124,zip_derived_cl38]) ).
thf(zip_derived_cl24_006,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( '#sk3' @ ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl2176,plain,
! [X0: a,X1: a] :
( ~ ( '#sk2' @ X0 )
| ( ( ( ( '#sk4' @ X0 )
= ( '#sk4' @ X1 ) )
& ( '#sk2' @ X1 ) )
= ( X0 = X1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl127,zip_derived_cl24]) ).
thf(zip_derived_cl2189,plain,
! [X0: a,X1: a] :
( ~ ( ( ( '#sk4' @ X0 )
= ( '#sk4' @ X1 ) )
& ( '#sk2' @ X1 ) )
| ( X0 = X1 )
| ~ ( '#sk2' @ X0 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl2176]) ).
thf(zip_derived_cl2194,plain,
! [X0: a,X1: a] :
( ~ ( ( ( '#sk4' @ X0 )
= ( '#sk4' @ X1 ) )
& ( '#sk2' @ X1 ) )
| ( X0 = X1 )
| ~ ( '#sk2' @ X0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2189]) ).
thf(zip_derived_cl2280,plain,
! [X0: a,X1: a] :
( ( ( '#sk4' @ X0 )
!= ( '#sk4' @ X1 ) )
| ~ ( '#sk2' @ X1 )
| ~ ( '#sk2' @ X0 )
| ( X0 = X1 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2194]) ).
thf(zip_derived_cl2281,plain,
! [X0: a,X1: a] :
( ( ( '#sk4' @ X0 )
!= ( '#sk4' @ X1 ) )
| ~ ( '#sk2' @ X1 )
| ~ ( '#sk2' @ X0 )
| ( X0 = X1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2280]) ).
thf(zip_derived_cl15,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ ( '#sk5' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl20,plain,
! [X2: a] :
( ( '#sk1' @ X2 )
=> ( '#sk2' @ ( '#sk5' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl26,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( '#sk2' @ ( '#sk5' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl41_007,plain,
! [X2: a,X4: a] :
( ( ( ( X2
= ( '#sk5' @ X4 ) )
& ( '#sk1' @ X4 ) )
= ( ( '#sk20' @ X2 )
= X4 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl20009_008,plain,
! [X0: a > a,X1: a] :
( ( '#l_lift25177' @ X0 @ X1 )
= ( '#sk4' @ ( X0 @ X1 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl24_009,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( '#sk3' @ ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl35,plain,
! [X2: a > a] :
( ~ ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( ( '#sk16' @ X2 )
= ( X2 @ Y1 ) )
& ( '#sk1' @ Y1 ) ) )
= ( a = Y0 ) ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk10' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl43,plain,
! [X2: a > a,X4: a] :
( ( ( ^ [Y0: a] :
( ( ( '#sk16' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
!= ( a = X4 ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk10' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl47,plain,
! [X2: a > a,X4: a] :
( ( ( ^ [Y0: a] :
( ( ( '#sk16' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
!= ( a = X4 ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk10' @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl48,plain,
! [X2: a > a,X4: a] :
( ( ( ^ [Y0: a] :
( ( ( '#sk16' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) )
@ ( '#_fresh_sk61' @ X2 @ X4 ) )
!= ( X4
= ( '#_fresh_sk61' @ X2 @ X4 ) ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk10' @ X2 ) ) ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl49,plain,
! [X2: a > a,X4: a] :
( ( ( ( ( '#sk16' @ X2 )
= ( X2 @ ( '#_fresh_sk61' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#_fresh_sk61' @ X2 @ X4 ) ) )
!= ( X4
= ( '#_fresh_sk61' @ X2 @ X4 ) ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk10' @ X2 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl38_010,plain,
! [X2: a,X4: a] :
( ( ( ( X2
= ( '#sk4' @ X4 ) )
& ( '#sk2' @ X4 ) )
= ( ( '#sk19' @ X2 )
= X4 ) )
| ~ ( '#sk3' @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl33,plain,
! [X2: a > a] :
( ~ ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( ( '#sk16' @ X2 )
= ( X2 @ Y1 ) )
& ( '#sk1' @ Y1 ) ) )
= ( a = Y0 ) ) )
| ( '#sk1' @ ( '#sk10' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl42,plain,
! [X2: a > a,X4: a] :
( ( ( ^ [Y0: a] :
( ( ( '#sk16' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
!= ( a = X4 ) )
| ( '#sk1' @ ( '#sk10' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl44,plain,
! [X2: a > a,X4: a] :
( ( ( ^ [Y0: a] :
( ( ( '#sk16' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
!= ( a = X4 ) )
| ( '#sk1' @ ( '#sk10' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl45,plain,
! [X2: a > a,X4: a] :
( ( ( ^ [Y0: a] :
( ( ( '#sk16' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) )
@ ( '#_fresh_sk42' @ X2 @ X4 ) )
!= ( X4
= ( '#_fresh_sk42' @ X2 @ X4 ) ) )
| ( '#sk1' @ ( '#sk10' @ X2 ) ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl46,plain,
! [X2: a > a,X4: a] :
( ( ( ( ( '#sk16' @ X2 )
= ( X2 @ ( '#_fresh_sk42' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#_fresh_sk42' @ X2 @ X4 ) ) )
!= ( X4
= ( '#_fresh_sk42' @ X2 @ X4 ) ) )
| ( '#sk1' @ ( '#sk10' @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl20031,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl32,zip_derived_cl3841,zip_derived_cl20010,zip_derived_cl2281,zip_derived_cl26,zip_derived_cl41,zip_derived_cl20009,zip_derived_cl24,zip_derived_cl49,zip_derived_cl38,zip_derived_cl46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV102^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.V8xxeDPuMU true
% 0.18/0.35 % Computer : n029.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Thu Aug 24 03:45:08 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.36 % Running portfolio for 300 s
% 0.18/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.36 % Running in HO mode
% 0.22/0.65 % Total configuration time : 828
% 0.22/0.65 % Estimated wc time : 1656
% 0.22/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 63.55/8.92 % Solved by lams/20_acsne_simpl.sh.
% 63.55/8.92 % done 1547 iterations in 8.030s
% 63.55/8.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 63.55/8.92 % SZS output start Refutation
% See solution above
% 63.55/8.92
% 63.55/8.92
% 63.55/8.92 % Terminating...
% 63.55/8.99 % Runner terminated.
% 63.55/9.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------