TSTP Solution File: COM019+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM019+1 : 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.yhCFaRkPZB true
% Computer : n002.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 : Wed Aug 30 18:49:09 EDT 2023
% Result : Theorem 50.90s 7.86s
% Output : Refutation 50.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 33
% Syntax : Number of formulae : 162 ( 64 unt; 19 typ; 0 def)
% Number of atoms : 538 ( 11 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1749 ( 355 ~; 351 |; 28 &; 999 @)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 9 con; 0-3 aty)
% Number of variables : 187 ( 0 ^; 184 !; 3 ?; 187 :)
% Comments :
%------------------------------------------------------------------------------
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i > $i ).
thf(xc_type,type,
xc: $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(sdtmndtasgtdt0_type,type,
sdtmndtasgtdt0: $i > $i > $i > $o ).
thf(xu_type,type,
xu: $i ).
thf(xw_type,type,
xw: $i ).
thf(sk__13_type,type,
sk__13: $i > $i > $i ).
thf(xa_type,type,
xa: $i ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(xb_type,type,
xb: $i ).
thf(isLocallyConfluent0_type,type,
isLocallyConfluent0: $i > $o ).
thf(xd_type,type,
xd: $i ).
thf(aReductOfIn0_type,type,
aReductOfIn0: $i > $i > $i > $o ).
thf(xR_type,type,
xR: $i ).
thf(xv_type,type,
xv: $i ).
thf(sdtmndtplgtdt0_type,type,
sdtmndtplgtdt0: $i > $i > $i > $o ).
thf(m__755,axiom,
( ( sdtmndtasgtdt0 @ xu @ xR @ xb )
& ( aReductOfIn0 @ xu @ xa @ xR )
& ( aElement0 @ xu ) ) ).
thf(zip_derived_cl54,plain,
sdtmndtasgtdt0 @ xu @ xR @ xb,
inference(cnf,[status(esa)],[m__755]) ).
thf(zip_derived_cl55,plain,
aReductOfIn0 @ xu @ xa @ xR,
inference(cnf,[status(esa)],[m__755]) ).
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(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_cl580,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(m__715,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 )
& ( aElement0 @ W2 )
& ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
& ( sdtmndtasgtdt0 @ W0 @ xR @ W2 ) )
=> ( ( iLess0 @ W0 @ xa )
=> ? [W3: $i] :
( ( sdtmndtasgtdt0 @ W2 @ xR @ W3 )
& ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
& ( aElement0 @ W3 ) ) ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( iLess0 @ X0 @ xa )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X1 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X2 )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X2 )
| ( sdtmndtasgtdt0 @ X1 @ xR @ ( sk__13 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[m__715]) ).
thf(zip_derived_cl529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aRewritingSystem0 @ X0 )
| ~ ( sdtmndtplgtdt0 @ xa @ X0 @ X1 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ xa )
| ~ ( isTerminating0 @ X0 )
| ( sdtmndtasgtdt0 @ X2 @ xR @ ( sk__13 @ X3 @ X2 ) )
| ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X3 )
| ~ ( aElement0 @ X3 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X2 )
| ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl50]) ).
thf(zip_derived_cl1050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X2 )
| ~ ( aElement0 @ X2 )
| ~ ( aElement0 @ X3 )
| ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X3 )
| ( sdtmndtasgtdt0 @ X2 @ xR @ ( sk__13 @ X3 @ X2 ) )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ xa )
| ~ ( aElement0 @ X1 )
| ~ ( sdtmndtplgtdt0 @ xa @ X0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl529]) ).
thf(m__731,axiom,
( ( aElement0 @ xc )
& ( aElement0 @ xb )
& ( aElement0 @ xa ) ) ).
thf(zip_derived_cl48,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__731]) ).
thf(zip_derived_cl1051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X2 )
| ~ ( aElement0 @ X2 )
| ~ ( aElement0 @ X3 )
| ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X3 )
| ( sdtmndtasgtdt0 @ X2 @ xR @ ( sk__13 @ X3 @ X2 ) )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( sdtmndtplgtdt0 @ xa @ X0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1050,zip_derived_cl48]) ).
thf(zip_derived_cl1053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ xa )
| ~ ( aReductOfIn0 @ X0 @ xa @ X1 )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X2 )
| ~ ( aElement0 @ X2 )
| ~ ( aElement0 @ X3 )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X3 )
| ( sdtmndtasgtdt0 @ X2 @ xR @ ( sk__13 @ X3 @ X2 ) )
| ~ ( isTerminating0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl1051]) ).
thf(zip_derived_cl48_001,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__731]) ).
thf(zip_derived_cl1058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aReductOfIn0 @ X0 @ xa @ X1 )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X2 )
| ~ ( aElement0 @ X2 )
| ~ ( aElement0 @ X3 )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X3 )
| ( sdtmndtasgtdt0 @ X2 @ xR @ ( sk__13 @ X3 @ X2 ) )
| ~ ( isTerminating0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1053,zip_derived_cl48]) ).
thf(zip_derived_cl1059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( isTerminating0 @ X1 )
| ( sdtmndtasgtdt0 @ X2 @ xR @ ( sk__13 @ X3 @ X2 ) )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X3 )
| ~ ( aElement0 @ X3 )
| ~ ( aElement0 @ X2 )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X2 )
| ~ ( aReductOfIn0 @ X0 @ xa @ X1 )
| ~ ( aRewritingSystem0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1058]) ).
thf(zip_derived_cl3902,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ xu )
| ~ ( isTerminating0 @ xR )
| ( sdtmndtasgtdt0 @ X0 @ xR @ ( sk__13 @ X1 @ X0 ) )
| ~ ( sdtmndtasgtdt0 @ xu @ xR @ X1 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ xu @ xR @ X0 )
| ~ ( aRewritingSystem0 @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl1059]) ).
thf(zip_derived_cl56,plain,
aElement0 @ xu,
inference(cnf,[status(esa)],[m__755]) ).
thf(m__656_01,axiom,
( ( isTerminating0 @ xR )
& ( isLocallyConfluent0 @ xR ) ) ).
thf(zip_derived_cl44,plain,
isTerminating0 @ xR,
inference(cnf,[status(esa)],[m__656_01]) ).
thf(m__656,axiom,
aRewritingSystem0 @ xR ).
thf(zip_derived_cl43,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__656]) ).
thf(zip_derived_cl3906,plain,
! [X0: $i,X1: $i] :
( ( sdtmndtasgtdt0 @ X0 @ xR @ ( sk__13 @ X1 @ X0 ) )
| ~ ( sdtmndtasgtdt0 @ xu @ xR @ X1 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ xu @ xR @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3902,zip_derived_cl56,zip_derived_cl44,zip_derived_cl43]) ).
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_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aRewritingSystem0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X2 )
| ( sdtmndtplgtdt0 @ X1 @ X0 @ X2 )
| ( X1 = X2 )
| ~ ( sdtmndtasgtdt0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[mTCRDef]) ).
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(m__818,axiom,
aNormalFormOfIn0 @ xd @ xw @ xR ).
thf(zip_derived_cl63,plain,
aNormalFormOfIn0 @ xd @ xw @ xR,
inference(cnf,[status(esa)],[m__818]) ).
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_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_cl539,plain,
! [X0: $i] :
( ~ ( aReductOfIn0 @ X0 @ xd @ xR )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ xw ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl40]) ).
thf(zip_derived_cl43_002,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__656]) ).
thf(m__799,axiom,
( ( sdtmndtasgtdt0 @ xv @ xR @ xw )
& ( sdtmndtasgtdt0 @ xu @ xR @ xw )
& ( aElement0 @ xw ) ) ).
thf(zip_derived_cl62,plain,
aElement0 @ xw,
inference(cnf,[status(esa)],[m__799]) ).
thf(zip_derived_cl608,plain,
! [X0: $i] :
~ ( aReductOfIn0 @ X0 @ xd @ xR ),
inference(demod,[status(thm)],[zip_derived_cl539,zip_derived_cl43,zip_derived_cl62]) ).
thf(zip_derived_cl609,plain,
! [X0: $i] :
( ~ ( sdtmndtplgtdt0 @ xd @ xR @ X0 )
| ( aReductOfIn0 @ X0 @ xd @ xR )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ xd )
| ~ ( aRewritingSystem0 @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl608]) ).
thf(zip_derived_cl608_003,plain,
! [X0: $i] :
~ ( aReductOfIn0 @ X0 @ xd @ xR ),
inference(demod,[status(thm)],[zip_derived_cl539,zip_derived_cl43,zip_derived_cl62]) ).
thf(zip_derived_cl63_004,plain,
aNormalFormOfIn0 @ xd @ xw @ xR,
inference(cnf,[status(esa)],[m__818]) ).
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_cl537,plain,
( ( aElement0 @ xd )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ xw ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl38]) ).
thf(zip_derived_cl43_005,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__656]) ).
thf(zip_derived_cl62_006,plain,
aElement0 @ xw,
inference(cnf,[status(esa)],[m__799]) ).
thf(zip_derived_cl585,plain,
aElement0 @ xd,
inference(demod,[status(thm)],[zip_derived_cl537,zip_derived_cl43,zip_derived_cl62]) ).
thf(zip_derived_cl43_007,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__656]) ).
thf(zip_derived_cl610,plain,
! [X0: $i] :
( ~ ( sdtmndtplgtdt0 @ xd @ xR @ X0 )
| ~ ( aElement0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl609,zip_derived_cl608,zip_derived_cl585,zip_derived_cl43]) ).
thf(zip_derived_cl637,plain,
! [X0: $i] :
( ~ ( sdtmndtasgtdt0 @ xd @ xR @ X0 )
| ( xd = X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ xd )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl610]) ).
thf(zip_derived_cl585_008,plain,
aElement0 @ xd,
inference(demod,[status(thm)],[zip_derived_cl537,zip_derived_cl43,zip_derived_cl62]) ).
thf(zip_derived_cl43_009,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__656]) ).
thf(zip_derived_cl648,plain,
! [X0: $i] :
( ~ ( sdtmndtasgtdt0 @ xd @ xR @ X0 )
| ( xd = X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl637,zip_derived_cl585,zip_derived_cl43]) ).
thf(zip_derived_cl649,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( xd = X0 )
| ~ ( sdtmndtasgtdt0 @ xd @ xR @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl648]) ).
thf(zip_derived_cl4080,plain,
! [X0: $i] :
( ~ ( sdtmndtasgtdt0 @ xu @ xR @ xd )
| ~ ( aElement0 @ xd )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ xu @ xR @ X0 )
| ~ ( aElement0 @ ( sk__13 @ X0 @ xd ) )
| ( xd
= ( sk__13 @ X0 @ xd ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3906,zip_derived_cl649]) ).
thf(zip_derived_cl63_010,plain,
aNormalFormOfIn0 @ xd @ xw @ xR,
inference(cnf,[status(esa)],[m__818]) ).
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_cl538,plain,
( ( sdtmndtasgtdt0 @ xw @ xR @ xd )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ xw ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl39]) ).
thf(zip_derived_cl43_011,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__656]) ).
thf(zip_derived_cl62_012,plain,
aElement0 @ xw,
inference(cnf,[status(esa)],[m__799]) ).
thf(zip_derived_cl614,plain,
sdtmndtasgtdt0 @ xw @ xR @ xd,
inference(demod,[status(thm)],[zip_derived_cl538,zip_derived_cl43,zip_derived_cl62]) ).
thf(zip_derived_cl61,plain,
sdtmndtasgtdt0 @ xu @ xR @ xw,
inference(cnf,[status(esa)],[m__799]) ).
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_cl662,plain,
! [X0: $i] :
( ~ ( aElement0 @ xw )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ xu )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ xu @ xR @ X0 )
| ~ ( sdtmndtasgtdt0 @ xw @ xR @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl14]) ).
thf(zip_derived_cl62_013,plain,
aElement0 @ xw,
inference(cnf,[status(esa)],[m__799]) ).
thf(zip_derived_cl43_014,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__656]) ).
thf(zip_derived_cl56_015,plain,
aElement0 @ xu,
inference(cnf,[status(esa)],[m__755]) ).
thf(zip_derived_cl675,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ xu @ xR @ X0 )
| ~ ( sdtmndtasgtdt0 @ xw @ xR @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl662,zip_derived_cl62,zip_derived_cl43,zip_derived_cl56]) ).
thf(zip_derived_cl844,plain,
( ~ ( aElement0 @ xd )
| ( sdtmndtasgtdt0 @ xu @ xR @ xd ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl675]) ).
thf(zip_derived_cl585_016,plain,
aElement0 @ xd,
inference(demod,[status(thm)],[zip_derived_cl537,zip_derived_cl43,zip_derived_cl62]) ).
thf(zip_derived_cl846,plain,
sdtmndtasgtdt0 @ xu @ xR @ xd,
inference(demod,[status(thm)],[zip_derived_cl844,zip_derived_cl585]) ).
thf(zip_derived_cl585_017,plain,
aElement0 @ xd,
inference(demod,[status(thm)],[zip_derived_cl537,zip_derived_cl43,zip_derived_cl62]) ).
thf(zip_derived_cl4139,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ xu @ xR @ X0 )
| ~ ( aElement0 @ ( sk__13 @ X0 @ xd ) )
| ( xd
= ( sk__13 @ X0 @ xd ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4080,zip_derived_cl846,zip_derived_cl585]) ).
thf(zip_derived_cl6241,plain,
( ~ ( aElement0 @ xb )
| ~ ( aElement0 @ ( sk__13 @ xb @ xd ) )
| ( xd
= ( sk__13 @ xb @ xd ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl4139]) ).
thf(zip_derived_cl47,plain,
aElement0 @ xb,
inference(cnf,[status(esa)],[m__731]) ).
thf(zip_derived_cl6274,plain,
( ~ ( aElement0 @ ( sk__13 @ xb @ xd ) )
| ( xd
= ( sk__13 @ xb @ xd ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6241,zip_derived_cl47]) ).
thf(zip_derived_cl55_018,plain,
aReductOfIn0 @ xu @ xa @ xR,
inference(cnf,[status(esa)],[m__755]) ).
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_cl623,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_cl624,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ X0 @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl623]) ).
thf(zip_derived_cl580_019,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_cl54_020,plain,
sdtmndtasgtdt0 @ xu @ xR @ xb,
inference(cnf,[status(esa)],[m__755]) ).
thf(zip_derived_cl14_021,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_cl661,plain,
! [X0: $i] :
( ~ ( aElement0 @ xb )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ xu )
| ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ xu @ xR @ X0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl14]) ).
thf(zip_derived_cl47_022,plain,
aElement0 @ xb,
inference(cnf,[status(esa)],[m__731]) ).
thf(zip_derived_cl43_023,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__656]) ).
thf(zip_derived_cl56_024,plain,
aElement0 @ xu,
inference(cnf,[status(esa)],[m__755]) ).
thf(zip_derived_cl674,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ xu @ xR @ X0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl661,zip_derived_cl47,zip_derived_cl43,zip_derived_cl56]) ).
thf(zip_derived_cl846_025,plain,
sdtmndtasgtdt0 @ xu @ xR @ xd,
inference(demod,[status(thm)],[zip_derived_cl844,zip_derived_cl585]) ).
thf(zip_derived_cl37_026,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_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( iLess0 @ X0 @ xa )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X1 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X2 )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X2 )
| ( aElement0 @ ( sk__13 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[m__715]) ).
thf(zip_derived_cl528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aRewritingSystem0 @ X0 )
| ~ ( sdtmndtplgtdt0 @ xa @ X0 @ X1 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ xa )
| ~ ( isTerminating0 @ X0 )
| ( aElement0 @ ( sk__13 @ X3 @ X2 ) )
| ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X3 )
| ~ ( aElement0 @ X3 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X2 )
| ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl49]) ).
thf(zip_derived_cl1004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X2 )
| ~ ( aElement0 @ X2 )
| ~ ( aElement0 @ X3 )
| ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X3 )
| ( aElement0 @ ( sk__13 @ X3 @ X2 ) )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ xa )
| ~ ( aElement0 @ X1 )
| ~ ( sdtmndtplgtdt0 @ xa @ X0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl528]) ).
thf(zip_derived_cl48_027,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__731]) ).
thf(zip_derived_cl1005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X2 )
| ~ ( aElement0 @ X2 )
| ~ ( aElement0 @ X3 )
| ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X3 )
| ( aElement0 @ ( sk__13 @ X3 @ X2 ) )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( sdtmndtplgtdt0 @ xa @ X0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1004,zip_derived_cl48]) ).
thf(zip_derived_cl1016,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ xd )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ xu @ xR @ X0 )
| ( aElement0 @ ( sk__13 @ X0 @ xd ) )
| ~ ( isTerminating0 @ X1 )
| ~ ( aElement0 @ xu )
| ~ ( sdtmndtplgtdt0 @ xa @ X1 @ xu )
| ~ ( aRewritingSystem0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl846,zip_derived_cl1005]) ).
thf(zip_derived_cl585_028,plain,
aElement0 @ xd,
inference(demod,[status(thm)],[zip_derived_cl537,zip_derived_cl43,zip_derived_cl62]) ).
thf(zip_derived_cl56_029,plain,
aElement0 @ xu,
inference(cnf,[status(esa)],[m__755]) ).
thf(zip_derived_cl1038,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ xu @ xR @ X0 )
| ( aElement0 @ ( sk__13 @ X0 @ xd ) )
| ~ ( isTerminating0 @ X1 )
| ~ ( sdtmndtplgtdt0 @ xa @ X1 @ xu )
| ~ ( aRewritingSystem0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1016,zip_derived_cl585,zip_derived_cl56]) ).
thf(zip_derived_cl3396,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtmndtasgtdt0 @ xb @ xR @ X0 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X0 )
| ( aElement0 @ ( sk__13 @ X0 @ xd ) )
| ~ ( isTerminating0 @ X1 )
| ~ ( sdtmndtplgtdt0 @ xa @ X1 @ xu )
| ~ ( aRewritingSystem0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl1038]) ).
thf(zip_derived_cl3413,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( sdtmndtplgtdt0 @ xa @ X1 @ xu )
| ~ ( isTerminating0 @ X1 )
| ( aElement0 @ ( sk__13 @ X0 @ xd ) )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3396]) ).
thf(zip_derived_cl41150,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X0 )
| ~ ( aElement0 @ xa )
| ~ ( aReductOfIn0 @ xu @ xa @ X0 )
| ~ ( aRewritingSystem0 @ X0 )
| ~ ( isTerminating0 @ X0 )
| ( aElement0 @ ( sk__13 @ X1 @ xd ) )
| ~ ( aElement0 @ X1 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl3413]) ).
thf(zip_derived_cl48_030,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__731]) ).
thf(zip_derived_cl41161,plain,
! [X0: $i,X1: $i] :
( ~ ( aRewritingSystem0 @ X0 )
| ~ ( aReductOfIn0 @ xu @ xa @ X0 )
| ~ ( aRewritingSystem0 @ X0 )
| ~ ( isTerminating0 @ X0 )
| ( aElement0 @ ( sk__13 @ X1 @ xd ) )
| ~ ( aElement0 @ X1 )
| ~ ( sdtmndtasgtdt0 @ xb @ xR @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl41150,zip_derived_cl48]) ).
thf(zip_derived_cl41162,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtmndtasgtdt0 @ xb @ xR @ X1 )
| ~ ( aElement0 @ X1 )
| ( aElement0 @ ( sk__13 @ X1 @ xd ) )
| ~ ( isTerminating0 @ X0 )
| ~ ( aReductOfIn0 @ xu @ xa @ X0 )
| ~ ( aRewritingSystem0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41161]) ).
thf(zip_derived_cl41731,plain,
! [X0: $i] :
( ~ ( aElement0 @ xb )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ xb )
| ( aElement0 @ ( sk__13 @ xb @ xd ) )
| ~ ( isTerminating0 @ X0 )
| ~ ( aReductOfIn0 @ xu @ xa @ X0 )
| ~ ( aRewritingSystem0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl624,zip_derived_cl41162]) ).
thf(zip_derived_cl47_031,plain,
aElement0 @ xb,
inference(cnf,[status(esa)],[m__731]) ).
thf(zip_derived_cl43_032,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__656]) ).
thf(zip_derived_cl47_033,plain,
aElement0 @ xb,
inference(cnf,[status(esa)],[m__731]) ).
thf(zip_derived_cl41779,plain,
! [X0: $i] :
( ( aElement0 @ ( sk__13 @ xb @ xd ) )
| ~ ( isTerminating0 @ X0 )
| ~ ( aReductOfIn0 @ xu @ xa @ X0 )
| ~ ( aRewritingSystem0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl41731,zip_derived_cl47,zip_derived_cl43,zip_derived_cl47]) ).
thf(zip_derived_cl42317,plain,
( ( aElement0 @ ( sk__13 @ xb @ xd ) )
| ~ ( isTerminating0 @ xR )
| ~ ( aRewritingSystem0 @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl41779]) ).
thf(zip_derived_cl44_034,plain,
isTerminating0 @ xR,
inference(cnf,[status(esa)],[m__656_01]) ).
thf(zip_derived_cl43_035,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__656]) ).
thf(zip_derived_cl42318,plain,
aElement0 @ ( sk__13 @ xb @ xd ),
inference(demod,[status(thm)],[zip_derived_cl42317,zip_derived_cl44,zip_derived_cl43]) ).
thf(zip_derived_cl42319,plain,
( xd
= ( sk__13 @ xb @ xd ) ),
inference(demod,[status(thm)],[zip_derived_cl6274,zip_derived_cl42318]) ).
thf(zip_derived_cl55_036,plain,
aReductOfIn0 @ xu @ xa @ xR,
inference(cnf,[status(esa)],[m__755]) ).
thf(zip_derived_cl580_037,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_cl37_038,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_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( iLess0 @ X0 @ xa )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X1 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X2 )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X2 )
| ( sdtmndtasgtdt0 @ X2 @ xR @ ( sk__13 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[m__715]) ).
thf(zip_derived_cl530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aRewritingSystem0 @ X0 )
| ~ ( sdtmndtplgtdt0 @ xa @ X0 @ X1 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ xa )
| ~ ( isTerminating0 @ X0 )
| ( sdtmndtasgtdt0 @ X3 @ xR @ ( sk__13 @ X3 @ X2 ) )
| ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X3 )
| ~ ( aElement0 @ X3 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X2 )
| ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl51]) ).
thf(zip_derived_cl1063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X2 )
| ~ ( aElement0 @ X2 )
| ~ ( aElement0 @ X3 )
| ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X3 )
| ( sdtmndtasgtdt0 @ X3 @ xR @ ( sk__13 @ X3 @ X2 ) )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ xa )
| ~ ( aElement0 @ X1 )
| ~ ( sdtmndtplgtdt0 @ xa @ X0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl530]) ).
thf(zip_derived_cl48_039,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__731]) ).
thf(zip_derived_cl1064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X2 )
| ~ ( aElement0 @ X2 )
| ~ ( aElement0 @ X3 )
| ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X3 )
| ( sdtmndtasgtdt0 @ X3 @ xR @ ( sk__13 @ X3 @ X2 ) )
| ~ ( isTerminating0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( sdtmndtplgtdt0 @ xa @ X0 @ X1 )
| ~ ( aRewritingSystem0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1063,zip_derived_cl48]) ).
thf(zip_derived_cl1066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aElement0 @ xa )
| ~ ( aReductOfIn0 @ X0 @ xa @ X1 )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X2 )
| ~ ( aElement0 @ X2 )
| ~ ( aElement0 @ X3 )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X3 )
| ( sdtmndtasgtdt0 @ X3 @ xR @ ( sk__13 @ X3 @ X2 ) )
| ~ ( isTerminating0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl1064]) ).
thf(zip_derived_cl48_040,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__731]) ).
thf(zip_derived_cl1071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aRewritingSystem0 @ X1 )
| ~ ( aReductOfIn0 @ X0 @ xa @ X1 )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X2 )
| ~ ( aElement0 @ X2 )
| ~ ( aElement0 @ X3 )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X3 )
| ( sdtmndtasgtdt0 @ X3 @ xR @ ( sk__13 @ X3 @ X2 ) )
| ~ ( isTerminating0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aRewritingSystem0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1066,zip_derived_cl48]) ).
thf(zip_derived_cl1072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( isTerminating0 @ X1 )
| ( sdtmndtasgtdt0 @ X3 @ xR @ ( sk__13 @ X3 @ X2 ) )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X3 )
| ~ ( aElement0 @ X3 )
| ~ ( aElement0 @ X2 )
| ~ ( sdtmndtasgtdt0 @ X0 @ xR @ X2 )
| ~ ( aReductOfIn0 @ X0 @ xa @ X1 )
| ~ ( aRewritingSystem0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1071]) ).
thf(zip_derived_cl4295,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ xu )
| ~ ( isTerminating0 @ xR )
| ( sdtmndtasgtdt0 @ X1 @ xR @ ( sk__13 @ X1 @ X0 ) )
| ~ ( sdtmndtasgtdt0 @ xu @ xR @ X1 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ xu @ xR @ X0 )
| ~ ( aRewritingSystem0 @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl1072]) ).
thf(zip_derived_cl56_041,plain,
aElement0 @ xu,
inference(cnf,[status(esa)],[m__755]) ).
thf(zip_derived_cl44_042,plain,
isTerminating0 @ xR,
inference(cnf,[status(esa)],[m__656_01]) ).
thf(zip_derived_cl43_043,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__656]) ).
thf(zip_derived_cl4299,plain,
! [X0: $i,X1: $i] :
( ( sdtmndtasgtdt0 @ X1 @ xR @ ( sk__13 @ X1 @ X0 ) )
| ~ ( sdtmndtasgtdt0 @ xu @ xR @ X1 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( sdtmndtasgtdt0 @ xu @ xR @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4295,zip_derived_cl56,zip_derived_cl44,zip_derived_cl43]) ).
thf(zip_derived_cl42375,plain,
( ( sdtmndtasgtdt0 @ xb @ xR @ xd )
| ~ ( sdtmndtasgtdt0 @ xu @ xR @ xb )
| ~ ( aElement0 @ xb )
| ~ ( aElement0 @ xd )
| ~ ( sdtmndtasgtdt0 @ xu @ xR @ xd ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42319,zip_derived_cl4299]) ).
thf(m__,conjecture,
sdtmndtasgtdt0 @ xb @ xR @ xd ).
thf(zf_stmt_0,negated_conjecture,
~ ( sdtmndtasgtdt0 @ xb @ xR @ xd ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl64,plain,
~ ( sdtmndtasgtdt0 @ xb @ xR @ xd ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54_044,plain,
sdtmndtasgtdt0 @ xu @ xR @ xb,
inference(cnf,[status(esa)],[m__755]) ).
thf(zip_derived_cl47_045,plain,
aElement0 @ xb,
inference(cnf,[status(esa)],[m__731]) ).
thf(zip_derived_cl585_046,plain,
aElement0 @ xd,
inference(demod,[status(thm)],[zip_derived_cl537,zip_derived_cl43,zip_derived_cl62]) ).
thf(zip_derived_cl846_047,plain,
sdtmndtasgtdt0 @ xu @ xR @ xd,
inference(demod,[status(thm)],[zip_derived_cl844,zip_derived_cl585]) ).
thf(zip_derived_cl42408,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl42375,zip_derived_cl64,zip_derived_cl54,zip_derived_cl47,zip_derived_cl585,zip_derived_cl846]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : COM019+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yhCFaRkPZB true
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 13:48:35 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % 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
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 50.90/7.86 % Solved by fo/fo6_bce.sh.
% 50.90/7.86 % BCE start: 65
% 50.90/7.86 % BCE eliminated: 0
% 50.90/7.86 % PE start: 65
% 50.90/7.86 logic: eq
% 50.90/7.86 % PE eliminated: 0
% 50.90/7.86 % done 3944 iterations in 7.111s
% 50.90/7.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 50.90/7.86 % SZS output start Refutation
% See solution above
% 50.90/7.87
% 50.90/7.87
% 50.90/7.87 % Terminating...
% 51.53/7.96 % Runner terminated.
% 51.53/7.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------