%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM013+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Hz4WfqJmvy true
% Computer : n005.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 Oct 2 04:30:34 PM UTC 2025
% Result : Theorem 0.50s 1.02s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 8
% Syntax : Number of formulae : 228 ( 71 unt; 0 typ; 0 def)
% Number of atoms : 762 ( 2 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 2723 ( 510 ~; 496 |; 16 &;1679 @)
% ( 4 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 272 ( 0 ^; 266 !; 6 ?; 272 :)
% Comments :
%------------------------------------------------------------------------------
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sk__11_type,type,
sk__11: $i > $i > $i ).
thf(xR_type,type,
xR: $i ).
thf(aNormalFormOfIn0_type,type,
aNormalFormOfIn0: $i > $i > $i > $o ).
thf(isTerminating0_type,type,
isTerminating0: $i > $o ).
thf(aRewritingSystem0_type,type,
aRewritingSystem0: $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sdtmndtasgtdt0_type,type,
sdtmndtasgtdt0: $i > $i > $i > $o ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i > $i ).
thf(aReductOfIn0_type,type,
aReductOfIn0: $i > $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(sdtmndtplgtdt0_type,type,
sdtmndtplgtdt0: $i > $i > $i > $o ).
thf(mNFRDef,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 ) )
=> ! [W2: $i] :
( ( aNormalFormOfIn0 @ W2 @ W0 @ W1 )
<=> ( ( aElement0 @ W2 )
& ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 )
& ~ ? [W3: $i] : ( aReductOfIn0 @ W3 @ W2 @ W1 ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 )
| ( aNormalFormOfIn0 @ X2 @ X0 @ X1 )
| ( aReductOfIn0 @ ( sk__11 @ X2 @ X1 ) @ X2 @ X1 )
| ~ ( sdtmndtasgtdt0 @ X0 @ X1 @ X2 )
| ~ ( aElement0 @ X2 ) ),
inference(cnf,[status(esa)],[mNFRDef]) ).
thf(m__,conjecture,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ( ! [W1: $i] :
( ( aElement0 @ W1 )
=> ( ( iLess0 @ W1 @ W0 )
=> ? [W2: $i] : ( aNormalFormOfIn0 @ W2 @ W1 @ xR ) ) )
=> ? [W1: $i] : ( aNormalFormOfIn0 @ W1 @ W0 @ xR ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [W0: $i] :
( ( aElement0 @ W0 )
=> ( ! [W1: $i] :
( ( aElement0 @ W1 )
=> ( ( iLess0 @ W1 @ W0 )
=> ? [W2: $i] : ( aNormalFormOfIn0 @ W2 @ W1 @ xR ) ) )
=> ? [W1: $i] : ( aNormalFormOfIn0 @ W1 @ W0 @ xR ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
~ ( aNormalFormOfIn0 @ X0 @ sk__12 @ xR ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl440,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ( aReductOfIn0 @ ( sk__11 @ X0 @ xR ) @ X0 @ xR )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ sk__12 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl45]) ).
thf(m__587,axiom,
( ( isTerminating0 @ xR )
& ( aRewritingSystem0 @ xR ) ) ).
thf(zip_derived_cl43,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl44,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl484,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ( aReductOfIn0 @ ( sk__11 @ X0 @ xR ) @ X0 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl43,zip_derived_cl44]) ).
thf(mTCRDef,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 )
& ( aElement0 @ W2 ) )
=> ( ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 )
<=> ( ( W0 = W2 )
| ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aRewritingSystem0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X2 )
| ( sdtmndtasgtdt0 @ X1 @ X0 @ X2 )
| ( X1 != X2 ) ),
inference(cnf,[status(esa)],[mTCRDef]) ).
thf(zip_derived_cl496,plain,
! [X0: $i,X1: $i] :
( ( sdtmndtasgtdt0 @ X0 @ X1 @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl497,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ X0 @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl496]) ).
thf(zip_derived_cl484_001,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ( aReductOfIn0 @ ( sk__11 @ X0 @ xR ) @ X0 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl43,zip_derived_cl44]) ).
thf(mReduct,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 ) )
=> ! [W2: $i] :
( ( aReductOfIn0 @ W2 @ W0 @ W1 )
=> ( aElement0 @ W2 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 )
| ( aElement0 @ X2 )
| ~ ( aReductOfIn0 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mReduct]) ).
thf(zip_derived_cl485,plain,
! [X0: $i] :
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ xR )
| ( aElement0 @ ( sk__11 @ X0 @ xR ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl2]) ).
thf(zip_derived_cl43_002,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl487,plain,
! [X0: $i] :
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X0 )
| ( aElement0 @ ( sk__11 @ X0 @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl485,zip_derived_cl43]) ).
thf(zip_derived_cl488,plain,
! [X0: $i] :
( ( aElement0 @ ( sk__11 @ X0 @ xR ) )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl497_003,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ X0 @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl496]) ).
thf(zip_derived_cl484_004,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ( aReductOfIn0 @ ( sk__11 @ X0 @ xR ) @ X0 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl43,zip_derived_cl44]) ).
thf(mTCDef,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 )
& ( aElement0 @ W2 ) )
=> ( ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 )
<=> ( ( aReductOfIn0 @ W2 @ W0 @ W1 )
| ? [W3: $i] :
( ( sdtmndtplgtdt0 @ W3 @ W1 @ W2 )
& ( aReductOfIn0 @ W3 @ W0 @ W1 )
& ( aElement0 @ W3 ) ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aRewritingSystem0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X2 )
| ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
| ~ ( aReductOfIn0 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mTCDef]) ).
thf(zip_derived_cl2_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 )
| ( aElement0 @ X2 )
| ~ ( aReductOfIn0 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mReduct]) ).
thf(zip_derived_cl491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aReductOfIn0 @ X2 @ X1 @ X0 )
| ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
| ~ ( aElement0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(mTermin,axiom,
! [W0: $i] :
( ( aRewritingSystem0 @ W0 )
=> ( ( isTerminating0 @ W0 )
<=> ! [W1: $i,W2: $i] :
( ( ( aElement0 @ W1 )
& ( aElement0 @ W2 ) )
=> ( ( sdtmndtplgtdt0 @ W1 @ W0 @ W2 )
=> ( iLess0 @ W2 @ W1 ) ) ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X2 )
| ( iLess0 @ X2 @ X1 )
| ~ ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
| ~ ( aRewritingSystem0 @ X0 ) ),
inference(cnf,[status(esa)],[mTermin]) ).
thf(zip_derived_cl46,plain,
! [X1: $i] :
( ~ ( iLess0 @ X1 @ sk__12 )
| ( aNormalFormOfIn0 @ ( sk__13 @ X1 ) @ X1 @ xR )
| ~ ( aElement0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl436,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X0 )
| ~ ( sdtmndtplgtdt0 @ sk__12 @ X0 @ X1 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ sk__12 )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( aNormalFormOfIn0 @ ( sk__13 @ X1 ) @ X1 @ xR ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl46]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 )
| ~ ( aReductOfIn0 @ X2 @ X3 @ X1 )
| ~ ( aNormalFormOfIn0 @ X3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mNFRDef]) ).
thf(zip_derived_cl443,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X1 )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ sk__12 )
| ~ ( aElement0 @ X1 )
| ~ ( sdtmndtplgtdt0 @ sk__12 @ X0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 )
| ~ ( aReductOfIn0 @ X2 @ ( sk__13 @ X1 ) @ xR )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl436,zip_derived_cl40]) ).
thf(zip_derived_cl797,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aRewritingSystem0 @ xR )
| ~ ( aReductOfIn0 @ X2 @ ( sk__13 @ X1 ) @ xR )
| ~ ( aRewritingSystem0 @ X0 )
| ~ ( sdtmndtplgtdt0 @ sk__12 @ X0 @ X1 )
| ~ ( aElement0 @ sk__12 )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl443]) ).
thf(zip_derived_cl43_006,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl44_007,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl798,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aReductOfIn0 @ X2 @ ( sk__13 @ X1 ) @ xR )
| ~ ( aRewritingSystem0 @ X0 )
| ~ ( sdtmndtplgtdt0 @ sk__12 @ X0 @ X1 )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl797,zip_derived_cl43,zip_derived_cl44]) ).
thf(zip_derived_cl800,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ sk__12 )
| ~ ( aReductOfIn0 @ X0 @ sk__12 @ X1 )
| ~ ( aReductOfIn0 @ X2 @ ( sk__13 @ X0 ) @ xR )
| ~ ( aRewritingSystem0 @ X1 )
| ~ ( isTerminating0 @ X1 )
| ~ ( aElement0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl798]) ).
thf(zip_derived_cl44_008,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl804,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aReductOfIn0 @ X0 @ sk__12 @ X1 )
| ~ ( aReductOfIn0 @ X2 @ ( sk__13 @ X0 ) @ xR )
| ~ ( aRewritingSystem0 @ X1 )
| ~ ( isTerminating0 @ X1 )
| ~ ( aElement0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl800,zip_derived_cl44]) ).
thf(zip_derived_cl805,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( isTerminating0 @ X1 )
| ~ ( aReductOfIn0 @ X2 @ ( sk__13 @ X0 ) @ xR )
| ~ ( aReductOfIn0 @ X0 @ sk__12 @ X1 )
| ~ ( aRewritingSystem0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl804]) ).
thf(zip_derived_cl814,plain,
! [X0: $i] :
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ~ ( aElement0 @ sk__12 )
| ~ ( aElement0 @ ( sk__11 @ sk__12 @ xR ) )
| ~ ( isTerminating0 @ xR )
| ~ ( aReductOfIn0 @ X0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) @ xR )
| ~ ( aRewritingSystem0 @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl805]) ).
thf(zip_derived_cl44_009,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
isTerminating0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl43_010,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl817,plain,
! [X0: $i] :
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ~ ( aElement0 @ ( sk__11 @ sk__12 @ xR ) )
| ~ ( aReductOfIn0 @ X0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl814,zip_derived_cl44,zip_derived_cl42,zip_derived_cl43]) ).
thf(zip_derived_cl825,plain,
! [X0: $i] :
( ~ ( aElement0 @ sk__12 )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ ( sk__11 @ sk__12 @ xR ) )
| ~ ( aReductOfIn0 @ X0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl817]) ).
thf(zip_derived_cl44_011,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_012,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl826,plain,
! [X0: $i] :
( ~ ( aElement0 @ ( sk__11 @ sk__12 @ xR ) )
| ~ ( aReductOfIn0 @ X0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl825,zip_derived_cl44,zip_derived_cl43]) ).
thf(zip_derived_cl827,plain,
! [X0: $i] :
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ~ ( aElement0 @ sk__12 )
| ~ ( aReductOfIn0 @ X0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl826]) ).
thf(zip_derived_cl44_013,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl828,plain,
! [X0: $i] :
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ~ ( aReductOfIn0 @ X0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl827,zip_derived_cl44]) ).
thf(zip_derived_cl854,plain,
! [X0: $i] :
( ~ ( aElement0 @ sk__12 )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aReductOfIn0 @ X0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl828]) ).
thf(zip_derived_cl44_014,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_015,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl855,plain,
! [X0: $i] :
~ ( aReductOfIn0 @ X0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) @ xR ),
inference(demod,[status(thm)],[zip_derived_cl854,zip_derived_cl44,zip_derived_cl43]) ).
thf(zip_derived_cl857,plain,
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) )
| ~ ( aElement0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl855]) ).
thf(zip_derived_cl497_016,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ X0 @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl496]) ).
thf(zip_derived_cl488_017,plain,
! [X0: $i] :
( ( aElement0 @ ( sk__11 @ X0 @ xR ) )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl497_018,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ X0 @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl496]) ).
thf(zip_derived_cl484_019,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ( aReductOfIn0 @ ( sk__11 @ X0 @ xR ) @ X0 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl43,zip_derived_cl44]) ).
thf(zip_derived_cl491_020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aReductOfIn0 @ X2 @ X1 @ X0 )
| ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
| ~ ( aElement0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl436_021,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X0 )
| ~ ( sdtmndtplgtdt0 @ sk__12 @ X0 @ X1 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ sk__12 )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( aNormalFormOfIn0 @ ( sk__13 @ X1 ) @ X1 @ xR ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl46]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 )
| ( aElement0 @ X2 )
| ~ ( aNormalFormOfIn0 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mNFRDef]) ).
thf(zip_derived_cl441,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X1 )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ sk__12 )
| ~ ( aElement0 @ X1 )
| ~ ( sdtmndtplgtdt0 @ sk__12 @ X0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 )
| ( aElement0 @ ( sk__13 @ X1 ) )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl436,zip_derived_cl38]) ).
thf(zip_derived_cl752,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ xR )
| ( aElement0 @ ( sk__13 @ X1 ) )
| ~ ( aRewritingSystem0 @ X0 )
| ~ ( sdtmndtplgtdt0 @ sk__12 @ X0 @ X1 )
| ~ ( aElement0 @ sk__12 )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl441]) ).
thf(zip_derived_cl43_022,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl44_023,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl753,plain,
! [X0: $i,X1: $i] :
( ( aElement0 @ ( sk__13 @ X1 ) )
| ~ ( aRewritingSystem0 @ X0 )
| ~ ( sdtmndtplgtdt0 @ sk__12 @ X0 @ X1 )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl752,zip_derived_cl43,zip_derived_cl44]) ).
thf(zip_derived_cl755,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ sk__12 )
| ~ ( aReductOfIn0 @ X0 @ sk__12 @ X1 )
| ( aElement0 @ ( sk__13 @ X0 ) )
| ~ ( aRewritingSystem0 @ X1 )
| ~ ( isTerminating0 @ X1 )
| ~ ( aElement0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl753]) ).
thf(zip_derived_cl44_024,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl759,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aReductOfIn0 @ X0 @ sk__12 @ X1 )
| ( aElement0 @ ( sk__13 @ X0 ) )
| ~ ( aRewritingSystem0 @ X1 )
| ~ ( isTerminating0 @ X1 )
| ~ ( aElement0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl755,zip_derived_cl44]) ).
thf(zip_derived_cl760,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( isTerminating0 @ X1 )
| ( aElement0 @ ( sk__13 @ X0 ) )
| ~ ( aReductOfIn0 @ X0 @ sk__12 @ X1 )
| ~ ( aRewritingSystem0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl759]) ).
thf(zip_derived_cl780,plain,
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ~ ( aElement0 @ sk__12 )
| ~ ( aElement0 @ ( sk__11 @ sk__12 @ xR ) )
| ~ ( isTerminating0 @ xR )
| ( aElement0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) )
| ~ ( aRewritingSystem0 @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl760]) ).
thf(zip_derived_cl44_025,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42_026,plain,
isTerminating0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl43_027,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl783,plain,
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ~ ( aElement0 @ ( sk__11 @ sk__12 @ xR ) )
| ( aElement0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl780,zip_derived_cl44,zip_derived_cl42,zip_derived_cl43]) ).
thf(zip_derived_cl809,plain,
( ~ ( aElement0 @ sk__12 )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ ( sk__11 @ sk__12 @ xR ) )
| ( aElement0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl783]) ).
thf(zip_derived_cl44_028,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_029,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl810,plain,
( ~ ( aElement0 @ ( sk__11 @ sk__12 @ xR ) )
| ( aElement0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl809,zip_derived_cl44,zip_derived_cl43]) ).
thf(zip_derived_cl819,plain,
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ~ ( aElement0 @ sk__12 )
| ( aElement0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl810]) ).
thf(zip_derived_cl44_030,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl820,plain,
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ( aElement0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl819,zip_derived_cl44]) ).
thf(zip_derived_cl823,plain,
( ~ ( aElement0 @ sk__12 )
| ~ ( aRewritingSystem0 @ xR )
| ( aElement0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl820]) ).
thf(zip_derived_cl44_031,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_032,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl824,plain,
aElement0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl823,zip_derived_cl44,zip_derived_cl43]) ).
thf(zip_derived_cl859,plain,
~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl857,zip_derived_cl824]) ).
thf(zip_derived_cl497_033,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ X0 @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl496]) ).
thf(zip_derived_cl484_034,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ( aReductOfIn0 @ ( sk__11 @ X0 @ xR ) @ X0 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl43,zip_derived_cl44]) ).
thf(zip_derived_cl491_035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aReductOfIn0 @ X2 @ X1 @ X0 )
| ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
| ~ ( aElement0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aRewritingSystem0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X2 )
| ( sdtmndtasgtdt0 @ X1 @ X0 @ X2 )
| ~ ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mTCRDef]) ).
thf(zip_derived_cl526,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X2 )
| ~ ( aReductOfIn0 @ X0 @ X2 @ X1 )
| ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X2 )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ X2 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl11]) ).
thf(zip_derived_cl528,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndtasgtdt0 @ X2 @ X1 @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aReductOfIn0 @ X0 @ X2 @ X1 )
| ~ ( aElement0 @ X2 )
| ~ ( aRewritingSystem0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl526]) ).
thf(zip_derived_cl2_036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 )
| ( aElement0 @ X2 )
| ~ ( aReductOfIn0 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mReduct]) ).
thf(zip_derived_cl530,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X2 )
| ~ ( aReductOfIn0 @ X0 @ X2 @ X1 )
| ( sdtmndtasgtdt0 @ X2 @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl528,zip_derived_cl2]) ).
thf(zip_derived_cl532,plain,
! [X0: $i] :
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ X0 @ xR @ ( sk__11 @ X0 @ xR ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl530]) ).
thf(zip_derived_cl43_037,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl534,plain,
! [X0: $i] :
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ X0 @ xR @ ( sk__11 @ X0 @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl532,zip_derived_cl43]) ).
thf(zip_derived_cl535,plain,
! [X0: $i] :
( ( sdtmndtasgtdt0 @ X0 @ xR @ ( sk__11 @ X0 @ xR ) )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl534]) ).
thf(zip_derived_cl497_038,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ X0 @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl496]) ).
thf(zip_derived_cl488_039,plain,
! [X0: $i] :
( ( aElement0 @ ( sk__11 @ X0 @ xR ) )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl488_040,plain,
! [X0: $i] :
( ( aElement0 @ ( sk__11 @ X0 @ xR ) )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl497_041,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ X0 @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl496]) ).
thf(zip_derived_cl535_042,plain,
! [X0: $i] :
( ( sdtmndtasgtdt0 @ X0 @ xR @ ( sk__11 @ X0 @ xR ) )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl534]) ).
thf(zip_derived_cl497_043,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ X0 @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl496]) ).
thf(zip_derived_cl488_044,plain,
! [X0: $i] :
( ( aElement0 @ ( sk__11 @ X0 @ xR ) )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl484_045,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ( aReductOfIn0 @ ( sk__11 @ X0 @ xR ) @ X0 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl43,zip_derived_cl44]) ).
thf(zip_derived_cl497_046,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ X0 @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl496]) ).
thf(zip_derived_cl488_047,plain,
! [X0: $i] :
( ( aElement0 @ ( sk__11 @ X0 @ xR ) )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl491_048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aReductOfIn0 @ X2 @ X1 @ X0 )
| ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
| ~ ( aElement0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl497_049,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ X0 @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl496]) ).
thf(zip_derived_cl484_050,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ( aReductOfIn0 @ ( sk__11 @ X0 @ xR ) @ X0 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl43,zip_derived_cl44]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aRewritingSystem0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X2 )
| ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
| ~ ( sdtmndtplgtdt0 @ X3 @ X0 @ X2 )
| ~ ( aReductOfIn0 @ X3 @ X1 @ X0 )
| ~ ( aElement0 @ X3 ) ),
inference(cnf,[status(esa)],[mTCDef]) ).
thf(zip_derived_cl2_051,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 )
| ( aElement0 @ X2 )
| ~ ( aReductOfIn0 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mReduct]) ).
thf(zip_derived_cl483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aReductOfIn0 @ X3 @ X1 @ X0 )
| ~ ( sdtmndtplgtdt0 @ X3 @ X0 @ X2 )
| ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
| ~ ( aElement0 @ X2 )
| ~ ( aElement0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl486,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtplgtdt0 @ ( sk__11 @ X0 @ xR ) @ xR @ X1 )
| ( sdtmndtplgtdt0 @ X0 @ xR @ X1 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl483]) ).
thf(zip_derived_cl43_052,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl489,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtplgtdt0 @ ( sk__11 @ X0 @ xR ) @ xR @ X1 )
| ( sdtmndtplgtdt0 @ X0 @ xR @ X1 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl486,zip_derived_cl43]) ).
thf(zip_derived_cl490,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X1 )
| ( sdtmndtplgtdt0 @ X0 @ xR @ X1 )
| ~ ( sdtmndtplgtdt0 @ ( sk__11 @ X0 @ xR ) @ xR @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl489]) ).
thf(zip_derived_cl518,plain,
! [X0: $i] :
( ~ ( aElement0 @ sk__12 )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ X0 )
| ( sdtmndtplgtdt0 @ sk__12 @ xR @ X0 )
| ~ ( sdtmndtplgtdt0 @ ( sk__11 @ sk__12 @ xR ) @ xR @ X0 )
| ~ ( aElement0 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl490]) ).
thf(zip_derived_cl44_053,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_054,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl44_055,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl519,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( sdtmndtplgtdt0 @ sk__12 @ xR @ X0 )
| ~ ( sdtmndtplgtdt0 @ ( sk__11 @ sk__12 @ xR ) @ xR @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl518,zip_derived_cl44,zip_derived_cl43,zip_derived_cl44]) ).
thf(zip_derived_cl520,plain,
! [X0: $i] :
( ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ ( sk__11 @ sk__12 @ xR ) )
| ~ ( aReductOfIn0 @ X0 @ ( sk__11 @ sk__12 @ xR ) @ xR )
| ~ ( aElement0 @ X0 )
| ( sdtmndtplgtdt0 @ sk__12 @ xR @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl519]) ).
thf(zip_derived_cl43_056,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl521,plain,
! [X0: $i] :
( ~ ( aElement0 @ ( sk__11 @ sk__12 @ xR ) )
| ~ ( aReductOfIn0 @ X0 @ ( sk__11 @ sk__12 @ xR ) @ xR )
| ~ ( aElement0 @ X0 )
| ( sdtmndtplgtdt0 @ sk__12 @ xR @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl520,zip_derived_cl43]) ).
thf(zip_derived_cl522,plain,
! [X0: $i] :
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ~ ( aElement0 @ sk__12 )
| ~ ( aReductOfIn0 @ X0 @ ( sk__11 @ sk__12 @ xR ) @ xR )
| ~ ( aElement0 @ X0 )
| ( sdtmndtplgtdt0 @ sk__12 @ xR @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl521]) ).
thf(zip_derived_cl44_057,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl523,plain,
! [X0: $i] :
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ~ ( aReductOfIn0 @ X0 @ ( sk__11 @ sk__12 @ xR ) @ xR )
| ~ ( aElement0 @ X0 )
| ( sdtmndtplgtdt0 @ sk__12 @ xR @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl522,zip_derived_cl44]) ).
thf(zip_derived_cl524,plain,
! [X0: $i] :
( ~ ( aElement0 @ sk__12 )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aReductOfIn0 @ X0 @ ( sk__11 @ sk__12 @ xR ) @ xR )
| ~ ( aElement0 @ X0 )
| ( sdtmndtplgtdt0 @ sk__12 @ xR @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl523]) ).
thf(zip_derived_cl44_058,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_059,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl525,plain,
! [X0: $i] :
( ~ ( aReductOfIn0 @ X0 @ ( sk__11 @ sk__12 @ xR ) @ xR )
| ~ ( aElement0 @ X0 )
| ( sdtmndtplgtdt0 @ sk__12 @ xR @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl524,zip_derived_cl44,zip_derived_cl43]) ).
thf(zip_derived_cl538,plain,
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ ( sk__11 @ sk__12 @ xR ) )
| ~ ( aElement0 @ ( sk__11 @ sk__12 @ xR ) )
| ~ ( aElement0 @ ( sk__11 @ ( sk__11 @ sk__12 @ xR ) @ xR ) )
| ( sdtmndtplgtdt0 @ sk__12 @ xR @ ( sk__11 @ ( sk__11 @ sk__12 @ xR ) @ xR ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl525]) ).
thf(zip_derived_cl488_060,plain,
! [X0: $i] :
( ( aElement0 @ ( sk__11 @ X0 @ xR ) )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl661,plain,
( ( sdtmndtplgtdt0 @ sk__12 @ xR @ ( sk__11 @ ( sk__11 @ sk__12 @ xR ) @ xR ) )
| ~ ( aElement0 @ ( sk__11 @ sk__12 @ xR ) )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ ( sk__11 @ sk__12 @ xR ) ) ),
inference(clc,[status(thm)],[zip_derived_cl538,zip_derived_cl488]) ).
thf(zip_derived_cl662,plain,
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ~ ( aElement0 @ sk__12 )
| ( sdtmndtplgtdt0 @ sk__12 @ xR @ ( sk__11 @ ( sk__11 @ sk__12 @ xR ) @ xR ) )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ ( sk__11 @ sk__12 @ xR ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl661]) ).
thf(zip_derived_cl44_061,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl663,plain,
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ( sdtmndtplgtdt0 @ sk__12 @ xR @ ( sk__11 @ ( sk__11 @ sk__12 @ xR ) @ xR ) )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ ( sk__11 @ sk__12 @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl662,zip_derived_cl44]) ).
thf(zip_derived_cl677,plain,
( ~ ( aElement0 @ sk__12 )
| ~ ( aRewritingSystem0 @ xR )
| ( sdtmndtplgtdt0 @ sk__12 @ xR @ ( sk__11 @ ( sk__11 @ sk__12 @ xR ) @ xR ) )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ ( sk__11 @ sk__12 @ xR ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl663]) ).
thf(zip_derived_cl44_062,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_063,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl678,plain,
( ( sdtmndtplgtdt0 @ sk__12 @ xR @ ( sk__11 @ ( sk__11 @ sk__12 @ xR ) @ xR ) )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ ( sk__11 @ sk__12 @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl677,zip_derived_cl44,zip_derived_cl43]) ).
thf(zip_derived_cl712,plain,
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ~ ( aElement0 @ sk__12 )
| ( sdtmndtplgtdt0 @ sk__12 @ xR @ ( sk__11 @ ( sk__11 @ sk__12 @ xR ) @ xR ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl678]) ).
thf(zip_derived_cl44_064,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl713,plain,
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ( sdtmndtplgtdt0 @ sk__12 @ xR @ ( sk__11 @ ( sk__11 @ sk__12 @ xR ) @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl712,zip_derived_cl44]) ).
thf(zip_derived_cl722,plain,
( ~ ( aElement0 @ sk__12 )
| ~ ( aRewritingSystem0 @ xR )
| ( sdtmndtplgtdt0 @ sk__12 @ xR @ ( sk__11 @ ( sk__11 @ sk__12 @ xR ) @ xR ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl713]) ).
thf(zip_derived_cl44_065,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_066,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl723,plain,
sdtmndtplgtdt0 @ sk__12 @ xR @ ( sk__11 @ ( sk__11 @ sk__12 @ xR ) @ xR ),
inference(demod,[status(thm)],[zip_derived_cl722,zip_derived_cl44,zip_derived_cl43]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aRewritingSystem0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X2 )
| ( aReductOfIn0 @ ( sk_ @ X2 @ X0 @ X1 ) @ X1 @ X0 )
| ( aReductOfIn0 @ X2 @ X1 @ X0 )
| ~ ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mTCDef]) ).
thf(zip_derived_cl497_067,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ X0 @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl496]) ).
thf(zip_derived_cl41_068,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 )
| ( aNormalFormOfIn0 @ X2 @ X0 @ X1 )
| ( aReductOfIn0 @ ( sk__11 @ X2 @ X1 ) @ X2 @ X1 )
| ~ ( sdtmndtasgtdt0 @ X0 @ X1 @ X2 )
| ~ ( aElement0 @ X2 ) ),
inference(cnf,[status(esa)],[mNFRDef]) ).
thf(zip_derived_cl40_069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 )
| ~ ( aReductOfIn0 @ X2 @ X3 @ X1 )
| ~ ( aNormalFormOfIn0 @ X3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mNFRDef]) ).
thf(zip_derived_cl439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aElement0 @ X2 )
| ~ ( sdtmndtasgtdt0 @ X0 @ X1 @ X2 )
| ( aReductOfIn0 @ ( sk__11 @ X2 @ X1 ) @ X2 @ X1 )
| ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aReductOfIn0 @ X3 @ X2 @ X1 )
| ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl40]) ).
thf(zip_derived_cl729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aReductOfIn0 @ X3 @ X2 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 )
| ( aReductOfIn0 @ ( sk__11 @ X2 @ X1 ) @ X2 @ X1 )
| ~ ( sdtmndtasgtdt0 @ X0 @ X1 @ X2 )
| ~ ( aElement0 @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl439]) ).
thf(zip_derived_cl730,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 )
| ~ ( aReductOfIn0 @ X2 @ X0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 )
| ( aReductOfIn0 @ ( sk__11 @ X0 @ X1 ) @ X0 @ X1 )
| ~ ( aElement0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl729]) ).
thf(zip_derived_cl734,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aReductOfIn0 @ ( sk__11 @ X0 @ X1 ) @ X0 @ X1 )
| ~ ( aReductOfIn0 @ X2 @ X0 @ X1 )
| ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl730]) ).
thf(zip_derived_cl739,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
| ( aReductOfIn0 @ X2 @ X1 @ X0 )
| ~ ( aElement0 @ X2 )
| ~ ( aElement0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 )
| ( aReductOfIn0 @ ( sk__11 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( aRewritingSystem0 @ X0 )
| ~ ( aElement0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl734]) ).
thf(zip_derived_cl744,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aReductOfIn0 @ ( sk__11 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( aRewritingSystem0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X2 )
| ( aReductOfIn0 @ X2 @ X1 @ X0 )
| ~ ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl739]) ).
thf(zip_derived_cl734_070,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aReductOfIn0 @ ( sk__11 @ X0 @ X1 ) @ X0 @ X1 )
| ~ ( aReductOfIn0 @ X2 @ X0 @ X1 )
| ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl730]) ).
thf(zip_derived_cl784,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
| ~ ( aElement0 @ X2 )
| ~ ( aElement0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 )
| ( aReductOfIn0 @ ( sk__11 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl744,zip_derived_cl734]) ).
thf(zip_derived_cl789,plain,
( ~ ( aElement0 @ ( sk__11 @ ( sk__11 @ sk__12 @ xR ) @ xR ) )
| ~ ( aElement0 @ sk__12 )
| ~ ( aRewritingSystem0 @ xR )
| ( aReductOfIn0 @ ( sk__11 @ sk__12 @ xR ) @ sk__12 @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl723,zip_derived_cl784]) ).
thf(zip_derived_cl44_071,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_072,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl794,plain,
( ~ ( aElement0 @ ( sk__11 @ ( sk__11 @ sk__12 @ xR ) @ xR ) )
| ( aReductOfIn0 @ ( sk__11 @ sk__12 @ xR ) @ sk__12 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl789,zip_derived_cl44,zip_derived_cl43]) ).
thf(zip_derived_cl808,plain,
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ ( sk__11 @ sk__12 @ xR ) )
| ~ ( aElement0 @ ( sk__11 @ sk__12 @ xR ) )
| ( aReductOfIn0 @ ( sk__11 @ sk__12 @ xR ) @ sk__12 @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl794]) ).
thf(zip_derived_cl847,plain,
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ~ ( aElement0 @ sk__12 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ ( sk__11 @ sk__12 @ xR ) )
| ( aReductOfIn0 @ ( sk__11 @ sk__12 @ xR ) @ sk__12 @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl488,zip_derived_cl808]) ).
thf(zip_derived_cl44_073,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl848,plain,
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ ( sk__11 @ sk__12 @ xR ) )
| ( aReductOfIn0 @ ( sk__11 @ sk__12 @ xR ) @ sk__12 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl847,zip_derived_cl44]) ).
thf(zip_derived_cl890,plain,
( ~ ( aElement0 @ sk__12 )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ ( sk__11 @ sk__12 @ xR ) )
| ( aReductOfIn0 @ ( sk__11 @ sk__12 @ xR ) @ sk__12 @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl848]) ).
thf(zip_derived_cl44_074,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_075,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl891,plain,
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ ( sk__11 @ sk__12 @ xR ) )
| ( aReductOfIn0 @ ( sk__11 @ sk__12 @ xR ) @ sk__12 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl890,zip_derived_cl44,zip_derived_cl43]) ).
thf(zip_derived_cl893,plain,
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ~ ( aElement0 @ sk__12 )
| ( aReductOfIn0 @ ( sk__11 @ sk__12 @ xR ) @ sk__12 @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl891]) ).
thf(zip_derived_cl44_076,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl894,plain,
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ sk__12 )
| ( aReductOfIn0 @ ( sk__11 @ sk__12 @ xR ) @ sk__12 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl893,zip_derived_cl44]) ).
thf(zip_derived_cl895,plain,
( ~ ( aElement0 @ sk__12 )
| ~ ( aRewritingSystem0 @ xR )
| ( aReductOfIn0 @ ( sk__11 @ sk__12 @ xR ) @ sk__12 @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl894]) ).
thf(zip_derived_cl44_077,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_078,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl896,plain,
aReductOfIn0 @ ( sk__11 @ sk__12 @ xR ) @ sk__12 @ xR,
inference(demod,[status(thm)],[zip_derived_cl895,zip_derived_cl44,zip_derived_cl43]) ).
thf(zip_derived_cl491_079,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aReductOfIn0 @ X2 @ X1 @ X0 )
| ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
| ~ ( aElement0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl436_080,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X0 )
| ~ ( sdtmndtplgtdt0 @ sk__12 @ X0 @ X1 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ sk__12 )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( aNormalFormOfIn0 @ ( sk__13 @ X1 ) @ X1 @ xR ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl46]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 )
| ( sdtmndtasgtdt0 @ X0 @ X1 @ X2 )
| ~ ( aNormalFormOfIn0 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mNFRDef]) ).
thf(zip_derived_cl442,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X1 )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ sk__12 )
| ~ ( aElement0 @ X1 )
| ~ ( sdtmndtplgtdt0 @ sk__12 @ X0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 )
| ( sdtmndtasgtdt0 @ X1 @ xR @ ( sk__13 @ X1 ) )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl436,zip_derived_cl39]) ).
thf(zip_derived_cl769,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ xR )
| ( sdtmndtasgtdt0 @ X1 @ xR @ ( sk__13 @ X1 ) )
| ~ ( aRewritingSystem0 @ X0 )
| ~ ( sdtmndtplgtdt0 @ sk__12 @ X0 @ X1 )
| ~ ( aElement0 @ sk__12 )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl442]) ).
thf(zip_derived_cl43_081,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl44_082,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl770,plain,
! [X0: $i,X1: $i] :
( ( sdtmndtasgtdt0 @ X1 @ xR @ ( sk__13 @ X1 ) )
| ~ ( aRewritingSystem0 @ X0 )
| ~ ( sdtmndtplgtdt0 @ sk__12 @ X0 @ X1 )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl769,zip_derived_cl43,zip_derived_cl44]) ).
thf(zip_derived_cl772,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ sk__12 )
| ~ ( aReductOfIn0 @ X0 @ sk__12 @ X1 )
| ( sdtmndtasgtdt0 @ X0 @ xR @ ( sk__13 @ X0 ) )
| ~ ( aRewritingSystem0 @ X1 )
| ~ ( isTerminating0 @ X1 )
| ~ ( aElement0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl770]) ).
thf(zip_derived_cl44_083,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl776,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aReductOfIn0 @ X0 @ sk__12 @ X1 )
| ( sdtmndtasgtdt0 @ X0 @ xR @ ( sk__13 @ X0 ) )
| ~ ( aRewritingSystem0 @ X1 )
| ~ ( isTerminating0 @ X1 )
| ~ ( aElement0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl772,zip_derived_cl44]) ).
thf(zip_derived_cl777,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( isTerminating0 @ X1 )
| ( sdtmndtasgtdt0 @ X0 @ xR @ ( sk__13 @ X0 ) )
| ~ ( aReductOfIn0 @ X0 @ sk__12 @ X1 )
| ~ ( aRewritingSystem0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl776]) ).
thf(zip_derived_cl906,plain,
( ~ ( aElement0 @ ( sk__11 @ sk__12 @ xR ) )
| ~ ( isTerminating0 @ xR )
| ( sdtmndtasgtdt0 @ ( sk__11 @ sk__12 @ xR ) @ xR @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) )
| ~ ( aRewritingSystem0 @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl777]) ).
thf(zip_derived_cl42_084,plain,
isTerminating0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl43_085,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl917,plain,
( ~ ( aElement0 @ ( sk__11 @ sk__12 @ xR ) )
| ( sdtmndtasgtdt0 @ ( sk__11 @ sk__12 @ xR ) @ xR @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl906,zip_derived_cl42,zip_derived_cl43]) ).
thf(zip_derived_cl896_086,plain,
aReductOfIn0 @ ( sk__11 @ sk__12 @ xR ) @ sk__12 @ xR,
inference(demod,[status(thm)],[zip_derived_cl895,zip_derived_cl44,zip_derived_cl43]) ).
thf(zip_derived_cl2_087,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 )
| ( aElement0 @ X2 )
| ~ ( aReductOfIn0 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mReduct]) ).
thf(zip_derived_cl897,plain,
( ~ ( aElement0 @ sk__12 )
| ~ ( aRewritingSystem0 @ xR )
| ( aElement0 @ ( sk__11 @ sk__12 @ xR ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl896,zip_derived_cl2]) ).
thf(zip_derived_cl44_088,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_089,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl908,plain,
aElement0 @ ( sk__11 @ sk__12 @ xR ),
inference(demod,[status(thm)],[zip_derived_cl897,zip_derived_cl44,zip_derived_cl43]) ).
thf(zip_derived_cl1022,plain,
sdtmndtasgtdt0 @ ( sk__11 @ sk__12 @ xR ) @ xR @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl917,zip_derived_cl908]) ).
thf(zip_derived_cl497_090,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ X0 @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl496]) ).
thf(zip_derived_cl535_091,plain,
! [X0: $i] :
( ( sdtmndtasgtdt0 @ X0 @ xR @ ( sk__11 @ X0 @ xR ) )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl534]) ).
thf(mTCRTrans,axiom,
! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aElement0 @ W0 )
& ( aRewritingSystem0 @ W1 )
& ( aElement0 @ W2 )
& ( aElement0 @ W3 ) )
=> ( ( ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 )
& ( sdtmndtasgtdt0 @ W2 @ W1 @ W3 ) )
=> ( sdtmndtasgtdt0 @ W0 @ W1 @ W3 ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sdtmndtasgtdt0 @ X0 @ X1 @ X2 )
| ~ ( aElement0 @ X2 )
| ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X3 )
| ( sdtmndtasgtdt0 @ X0 @ X1 @ X3 )
| ~ ( sdtmndtasgtdt0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[mTCRTrans]) ).
thf(zip_derived_cl563,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ ( sk__11 @ X0 @ xR ) )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( sdtmndtasgtdt0 @ X0 @ xR @ X1 )
| ~ ( sdtmndtasgtdt0 @ ( sk__11 @ X0 @ xR ) @ xR @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl14]) ).
thf(zip_derived_cl43_092,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl569,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ ( sk__11 @ X0 @ xR ) )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( sdtmndtasgtdt0 @ X0 @ xR @ X1 )
| ~ ( sdtmndtasgtdt0 @ ( sk__11 @ X0 @ xR ) @ xR @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl563,zip_derived_cl43]) ).
thf(zip_derived_cl570,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtmndtasgtdt0 @ ( sk__11 @ X0 @ xR ) @ xR @ X1 )
| ( sdtmndtasgtdt0 @ X0 @ xR @ X1 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ ( sk__11 @ X0 @ xR ) )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl569]) ).
thf(zip_derived_cl488_093,plain,
! [X0: $i] :
( ( aElement0 @ ( sk__11 @ X0 @ xR ) )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl487]) ).
thf(zip_derived_cl849,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( sdtmndtasgtdt0 @ X0 @ xR @ X1 )
| ~ ( sdtmndtasgtdt0 @ ( sk__11 @ X0 @ xR ) @ xR @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl570,zip_derived_cl488]) ).
thf(zip_derived_cl850,plain,
! [X0: $i] :
( ~ ( aElement0 @ sk__12 )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ sk__12 )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ~ ( sdtmndtasgtdt0 @ ( sk__11 @ sk__12 @ xR ) @ xR @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl849]) ).
thf(zip_derived_cl44_094,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_095,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__587]) ).
thf(zip_derived_cl44_096,plain,
aElement0 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl852,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ sk__12 @ xR @ X0 )
| ~ ( sdtmndtasgtdt0 @ ( sk__11 @ sk__12 @ xR ) @ xR @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl850,zip_derived_cl44,zip_derived_cl43,zip_derived_cl44]) ).
thf(zip_derived_cl1030,plain,
( ~ ( aElement0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) )
| ( sdtmndtasgtdt0 @ sk__12 @ xR @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1022,zip_derived_cl852]) ).
thf(zip_derived_cl824_097,plain,
aElement0 @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl823,zip_derived_cl44,zip_derived_cl43]) ).
thf(zip_derived_cl1038,plain,
sdtmndtasgtdt0 @ sk__12 @ xR @ ( sk__13 @ ( sk__11 @ sk__12 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl1030,zip_derived_cl824]) ).
thf(zip_derived_cl1039,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl859,zip_derived_cl1038]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : COM013+1 : TPTP v9.2.0. Released v4.0.0.
% 0.02/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Hz4WfqJmvy true
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 13:48:23 EDT 2025
% 0.15/0.31 % CPUTime :
% 0.15/0.31 % Running portfolio for 300 s
% 0.15/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.31 % Number of cores: 8
% 0.15/0.31 % Python version: Python 3.6.8
% 0.15/0.32 % Running in FO mode
% 0.47/0.60 % Total configuration time : 435
% 0.47/0.60 % Estimated wc time : 1092
% 0.47/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.50/1.02 % Solved by fo/fo6_bce.sh.
% 0.50/1.02 % BCE start: 47
% 0.50/1.02 % BCE eliminated: 0
% 0.50/1.02 % PE start: 47
% 0.50/1.02 logic: eq
% 0.50/1.02 % PE eliminated: 1
% 0.50/1.02 % done 150 iterations in 0.282s
% 0.50/1.02 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.50/1.02 % SZS output start Refutation
% See solution above
% 0.50/1.02
% 0.50/1.02
% 0.50/1.02 % Terminating...
% 2.01/1.10 % Runner terminated.
% 2.01/1.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------