TSTP Solution File: COM019+4 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM019+4 : 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.0SLKeRFvdI true
% Computer : n020.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 10.64s 2.14s
% Output : Refutation 10.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 52
% Syntax : Number of formulae : 109 ( 34 unt; 33 typ; 0 def)
% Number of atoms : 305 ( 23 equ; 0 cnn)
% Maximal formula atoms : 33 ( 4 avg)
% Number of connectives : 958 ( 64 ~; 114 |; 95 &; 665 @)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 57 ( 57 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 26 usr; 9 con; 0-3 aty)
% Number of variables : 98 ( 0 ^; 76 !; 22 ?; 98 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i > $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(xw_type,type,
xw: $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(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(xv_type,type,
xv: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(sdtmndtasgtdt0_type,type,
sdtmndtasgtdt0: $i > $i > $i > $o ).
thf(xa_type,type,
xa: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $o ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $i > $o ).
thf(isLocallyConfluent0_type,type,
isLocallyConfluent0: $i > $o ).
thf(xb_type,type,
xb: $i ).
thf(aReductOfIn0_type,type,
aReductOfIn0: $i > $i > $i > $o ).
thf(xd_type,type,
xd: $i ).
thf(sk__18_type,type,
sk__18: $i > $i > $i ).
thf(xR_type,type,
xR: $i ).
thf(xc_type,type,
xc: $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $o ).
thf(sdtmndtplgtdt0_type,type,
sdtmndtplgtdt0: $i > $i > $i > $o ).
thf(xu_type,type,
xu: $i ).
thf(m__818,axiom,
( ( aNormalFormOfIn0 @ xd @ xw @ xR )
& ~ ? [W0: $i] : ( aReductOfIn0 @ W0 @ xd @ xR )
& ( sdtmndtasgtdt0 @ xw @ xR @ xd )
& ( ( ( sdtmndtplgtdt0 @ xw @ xR @ xd )
& ( ? [W0: $i] :
( ( sdtmndtplgtdt0 @ W0 @ xR @ xd )
& ( aReductOfIn0 @ W0 @ xw @ xR )
& ( aElement0 @ W0 ) )
| ( aReductOfIn0 @ xd @ xw @ xR ) ) )
| ( xw = xd ) )
& ( aElement0 @ xd ) ) ).
thf(zip_derived_cl127,plain,
sdtmndtasgtdt0 @ xw @ xR @ xd,
inference(cnf,[status(esa)],[m__818]) ).
thf(m__799,axiom,
( ( sdtmndtasgtdt0 @ xv @ xR @ xw )
& ( ( ( sdtmndtplgtdt0 @ xv @ xR @ xw )
& ( ? [W0: $i] :
( ( sdtmndtplgtdt0 @ W0 @ xR @ xw )
& ( aReductOfIn0 @ W0 @ xv @ xR )
& ( aElement0 @ W0 ) )
| ( aReductOfIn0 @ xw @ xv @ xR ) ) )
| ( xv = xw ) )
& ( sdtmndtasgtdt0 @ xu @ xR @ xw )
& ( ( ( sdtmndtplgtdt0 @ xu @ xR @ xw )
& ( ? [W0: $i] :
( ( sdtmndtplgtdt0 @ W0 @ xR @ xw )
& ( aReductOfIn0 @ W0 @ xu @ xR )
& ( aElement0 @ W0 ) )
| ( aReductOfIn0 @ xw @ xu @ xR ) ) )
| ( xu = xw ) )
& ( aElement0 @ xw ) ) ).
thf(zip_derived_cl116,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_cl309,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_cl116,zip_derived_cl14]) ).
thf(zip_derived_cl111,plain,
aElement0 @ xw,
inference(cnf,[status(esa)],[m__799]) ).
thf(m__656,axiom,
aRewritingSystem0 @ xR ).
thf(zip_derived_cl43,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__656]) ).
thf(m__755,axiom,
( ( sdtmndtasgtdt0 @ xu @ xR @ xb )
& ( ( ( sdtmndtplgtdt0 @ xu @ xR @ xb )
& ( ? [W0: $i] :
( ( sdtmndtplgtdt0 @ W0 @ xR @ xb )
& ( aReductOfIn0 @ W0 @ xu @ xR )
& ( aElement0 @ W0 ) )
| ( aReductOfIn0 @ xb @ xu @ xR ) ) )
| ( xu = xb ) )
& ( aReductOfIn0 @ xu @ xa @ xR )
& ( aElement0 @ xu ) ) ).
thf(zip_derived_cl97,plain,
aElement0 @ xu,
inference(cnf,[status(esa)],[m__755]) ).
thf(zip_derived_cl316,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ( sdtmndtasgtdt0 @ xu @ xR @ X0 )
| ~ ( sdtmndtasgtdt0 @ xw @ xR @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl309,zip_derived_cl111,zip_derived_cl43,zip_derived_cl97]) ).
thf(zip_derived_cl2004,plain,
( ~ ( aElement0 @ xd )
| ( sdtmndtasgtdt0 @ xu @ xR @ xd ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl316]) ).
thf(zip_derived_cl122,plain,
aElement0 @ xd,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl2006,plain,
sdtmndtasgtdt0 @ xu @ xR @ xd,
inference(demod,[status(thm)],[zip_derived_cl2004,zip_derived_cl122]) ).
thf(m__715,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
| ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
| ? [W3: $i] :
( ( aElement0 @ W3 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) )
| ( aReductOfIn0 @ W2 @ W0 @ xR )
| ( W0 = W2 ) )
& ( ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
| ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ? [W3: $i] :
( ( aElement0 @ W3 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) )
| ( aReductOfIn0 @ W1 @ W0 @ xR )
| ( W0 = W1 ) )
& ( aElement0 @ W2 )
& ( aElement0 @ W1 )
& ( aElement0 @ W0 ) )
=> ( ( iLess0 @ W0 @ xa )
=> ? [W3: $i] :
( ( aElement0 @ W3 )
& ( ( W1 = W3 )
| ( ( ( aReductOfIn0 @ W3 @ W1 @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ W1 @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
& ( ( W2 = W3 )
| ( ( ( aReductOfIn0 @ W3 @ W2 @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ W2 @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ W3 ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [W2: $i,W0: $i] :
( ( ( W0 = W2 )
| ( aReductOfIn0 @ W2 @ W0 @ xR )
| ? [W3: $i] :
( ( sdtmndtplgtdt0 @ W3 @ xR @ W2 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( aElement0 @ W3 ) )
| ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
| ( sdtmndtasgtdt0 @ W0 @ xR @ W2 ) )
=> ( zip_tseitin_0 @ W2 @ W0 ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2013,plain,
zip_tseitin_0 @ xd @ xu,
inference('s_sup-',[status(thm)],[zip_derived_cl2006,zip_derived_cl67]) ).
thf(zip_derived_cl103,plain,
sdtmndtasgtdt0 @ xu @ xR @ xb,
inference(cnf,[status(esa)],[m__755]) ).
thf(zf_stmt_1,axiom,
! [W1: $i,W0: $i] :
( ( ( W0 = W1 )
| ( aReductOfIn0 @ W1 @ W0 @ xR )
| ? [W3: $i] :
( ( sdtmndtplgtdt0 @ W3 @ xR @ W1 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( aElement0 @ W3 ) )
| ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ( sdtmndtasgtdt0 @ W0 @ xR @ W1 ) )
=> ( zip_tseitin_1 @ W1 @ W0 ) ) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl221,plain,
zip_tseitin_1 @ xb @ xu,
inference('s_sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl72]) ).
thf(zip_derived_cl98,plain,
aReductOfIn0 @ xu @ xa @ xR,
inference(cnf,[status(esa)],[m__755]) ).
thf(m__656_01,axiom,
( ( isTerminating0 @ xR )
& ! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( ( aReductOfIn0 @ W1 @ W0 @ xR )
| ? [W2: $i] :
( ( sdtmndtplgtdt0 @ W2 @ xR @ W1 )
& ( aReductOfIn0 @ W2 @ W0 @ xR )
& ( aElement0 @ W2 ) )
| ( sdtmndtplgtdt0 @ W0 @ xR @ W1 ) )
=> ( iLess0 @ W1 @ W0 ) ) )
& ( isLocallyConfluent0 @ xR )
& ! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 )
& ( aElement0 @ W2 )
& ( aReductOfIn0 @ W1 @ W0 @ xR )
& ( aReductOfIn0 @ W2 @ W0 @ xR ) )
=> ? [W3: $i] :
( ( sdtmndtasgtdt0 @ W2 @ xR @ W3 )
& ( ( ( sdtmndtplgtdt0 @ W2 @ xR @ W3 )
& ( ? [W4: $i] :
( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
& ( aReductOfIn0 @ W4 @ W2 @ xR )
& ( aElement0 @ W4 ) )
| ( aReductOfIn0 @ W3 @ W2 @ xR ) ) )
| ( W2 = W3 ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
& ( ( ( sdtmndtplgtdt0 @ W1 @ xR @ W3 )
& ( ? [W4: $i] :
( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
& ( aReductOfIn0 @ W4 @ W1 @ xR )
& ( aElement0 @ W4 ) )
| ( aReductOfIn0 @ W3 @ W1 @ xR ) ) )
| ( W1 = W3 ) )
& ( aElement0 @ W3 ) ) ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( iLess0 @ X1 @ X0 )
| ~ ( aReductOfIn0 @ X1 @ X0 @ xR ) ),
inference(cnf,[status(esa)],[m__656_01]) ).
thf(zip_derived_cl328,plain,
( ~ ( aElement0 @ xa )
| ~ ( aElement0 @ xu )
| ( iLess0 @ xu @ xa ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl56]) ).
thf(m__731,axiom,
( ( aElement0 @ xc )
& ( aElement0 @ xb )
& ( aElement0 @ xa ) ) ).
thf(zip_derived_cl62,plain,
aElement0 @ xa,
inference(cnf,[status(esa)],[m__731]) ).
thf(zip_derived_cl97_001,plain,
aElement0 @ xu,
inference(cnf,[status(esa)],[m__755]) ).
thf(zip_derived_cl333,plain,
iLess0 @ xu @ xa,
inference(demod,[status(thm)],[zip_derived_cl328,zip_derived_cl62,zip_derived_cl97]) ).
thf(zf_stmt_2,type,
zip_tseitin_6: $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [W3: $i,W2: $i,W1: $i] :
( ( zip_tseitin_6 @ W3 @ W2 @ W1 )
=> ( ( sdtmndtasgtdt0 @ W2 @ xR @ W3 )
& ( ( zip_tseitin_5 @ W3 @ W2 )
| ( W2 = W3 ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
& ( ( zip_tseitin_3 @ W3 @ W1 )
| ( W1 = W3 ) )
& ( aElement0 @ W3 ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_5: $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [W3: $i,W2: $i] :
( ( zip_tseitin_5 @ W3 @ W2 )
=> ( ( sdtmndtplgtdt0 @ W2 @ xR @ W3 )
& ( ? [W4: $i] : ( zip_tseitin_4 @ W4 @ W3 @ W2 )
| ( aReductOfIn0 @ W3 @ W2 @ xR ) ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [W4: $i,W3: $i,W2: $i] :
( ( zip_tseitin_4 @ W4 @ W3 @ W2 )
=> ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
& ( aReductOfIn0 @ W4 @ W2 @ xR )
& ( aElement0 @ W4 ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_3: $i > $i > $o ).
thf(zf_stmt_9,axiom,
! [W3: $i,W1: $i] :
( ( zip_tseitin_3 @ W3 @ W1 )
=> ( ( sdtmndtplgtdt0 @ W1 @ xR @ W3 )
& ( ? [W4: $i] : ( zip_tseitin_2 @ W4 @ W3 @ W1 )
| ( aReductOfIn0 @ W3 @ W1 @ xR ) ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_11,axiom,
! [W4: $i,W3: $i,W1: $i] :
( ( zip_tseitin_2 @ W4 @ W3 @ W1 )
=> ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
& ( aReductOfIn0 @ W4 @ W1 @ xR )
& ( aElement0 @ W4 ) ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_13,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_14,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 )
& ( aElement0 @ W2 )
& ( zip_tseitin_1 @ W1 @ W0 )
& ( zip_tseitin_0 @ W2 @ W0 ) )
=> ( ( iLess0 @ W0 @ xa )
=> ? [W3: $i] : ( zip_tseitin_6 @ W3 @ W2 @ W1 ) ) ) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( iLess0 @ X0 @ xa )
| ~ ( zip_tseitin_1 @ X1 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X2 )
| ~ ( zip_tseitin_0 @ X2 @ X0 )
| ( zip_tseitin_6 @ ( sk__18 @ X2 @ X1 ) @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl1055,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ X0 @ xu )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ xu )
| ~ ( aElement0 @ X1 )
| ~ ( zip_tseitin_0 @ X1 @ xu )
| ( zip_tseitin_6 @ ( sk__18 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl88]) ).
thf(zip_derived_cl97_002,plain,
aElement0 @ xu,
inference(cnf,[status(esa)],[m__755]) ).
thf(zip_derived_cl1059,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ X0 @ xu )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( zip_tseitin_0 @ X1 @ xu )
| ( zip_tseitin_6 @ ( sk__18 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1055,zip_derived_cl97]) ).
thf(zip_derived_cl7390,plain,
! [X0: $i] :
( ~ ( aElement0 @ xb )
| ~ ( aElement0 @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ xu )
| ( zip_tseitin_6 @ ( sk__18 @ X0 @ xb ) @ X0 @ xb ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl1059]) ).
thf(zip_derived_cl61,plain,
aElement0 @ xb,
inference(cnf,[status(esa)],[m__731]) ).
thf(zip_derived_cl7411,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ xu )
| ( zip_tseitin_6 @ ( sk__18 @ X0 @ xb ) @ X0 @ xb ) ),
inference(demod,[status(thm)],[zip_derived_cl7390,zip_derived_cl61]) ).
thf(zip_derived_cl8359,plain,
( ~ ( aElement0 @ xd )
| ( zip_tseitin_6 @ ( sk__18 @ xd @ xb ) @ xd @ xb ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2013,zip_derived_cl7411]) ).
thf(zip_derived_cl122_003,plain,
aElement0 @ xd,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl8383,plain,
zip_tseitin_6 @ ( sk__18 @ xd @ xb ) @ xd @ xb,
inference(demod,[status(thm)],[zip_derived_cl8359,zip_derived_cl122]) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndtasgtdt0 @ X0 @ xR @ X1 )
| ~ ( zip_tseitin_6 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl8402,plain,
sdtmndtasgtdt0 @ xb @ xR @ ( sk__18 @ xd @ xb ),
inference('s_sup-',[status(thm)],[zip_derived_cl8383,zip_derived_cl85]) ).
thf(zip_derived_cl8383_004,plain,
zip_tseitin_6 @ ( sk__18 @ xd @ xb ) @ xd @ xb,
inference(demod,[status(thm)],[zip_derived_cl8359,zip_derived_cl122]) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndtasgtdt0 @ X0 @ xR @ X1 )
| ~ ( zip_tseitin_6 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl8399,plain,
sdtmndtasgtdt0 @ xd @ xR @ ( sk__18 @ xd @ xb ),
inference('s_sup-',[status(thm)],[zip_derived_cl8383,zip_derived_cl83]) ).
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_cl8404,plain,
( ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ xd )
| ~ ( aElement0 @ ( sk__18 @ xd @ xb ) )
| ( sdtmndtplgtdt0 @ xd @ xR @ ( sk__18 @ xd @ xb ) )
| ( xd
= ( sk__18 @ xd @ xb ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8399,zip_derived_cl13]) ).
thf(zip_derived_cl43_005,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__656]) ).
thf(zip_derived_cl122_006,plain,
aElement0 @ xd,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl8383_007,plain,
zip_tseitin_6 @ ( sk__18 @ xd @ xb ) @ xd @ xb,
inference(demod,[status(thm)],[zip_derived_cl8359,zip_derived_cl122]) ).
thf(zip_derived_cl87,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aElement0 @ X0 )
| ~ ( zip_tseitin_6 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl8401,plain,
aElement0 @ ( sk__18 @ xd @ xb ),
inference('s_sup-',[status(thm)],[zip_derived_cl8383,zip_derived_cl87]) ).
thf(zip_derived_cl8417,plain,
( ( sdtmndtplgtdt0 @ xd @ xR @ ( sk__18 @ xd @ xb ) )
| ( xd
= ( sk__18 @ xd @ xb ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8404,zip_derived_cl43,zip_derived_cl122,zip_derived_cl8401]) ).
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_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_cl8480,plain,
( ( xd
= ( sk__18 @ xd @ xb ) )
| ~ ( aRewritingSystem0 @ xR )
| ~ ( aElement0 @ xd )
| ~ ( aElement0 @ ( sk__18 @ xd @ xb ) )
| ( aReductOfIn0 @ ( sk_ @ ( sk__18 @ xd @ xb ) @ xR @ xd ) @ xd @ xR )
| ( aReductOfIn0 @ ( sk__18 @ xd @ xb ) @ xd @ xR ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8417,zip_derived_cl8]) ).
thf(zip_derived_cl43_008,plain,
aRewritingSystem0 @ xR,
inference(cnf,[status(esa)],[m__656]) ).
thf(zip_derived_cl122_009,plain,
aElement0 @ xd,
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl8401_010,plain,
aElement0 @ ( sk__18 @ xd @ xb ),
inference('s_sup-',[status(thm)],[zip_derived_cl8383,zip_derived_cl87]) ).
thf(zip_derived_cl128,plain,
! [X0: $i] :
~ ( aReductOfIn0 @ X0 @ xd @ xR ),
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl8499,plain,
( ( xd
= ( sk__18 @ xd @ xb ) )
| ( aReductOfIn0 @ ( sk_ @ ( sk__18 @ xd @ xb ) @ xR @ xd ) @ xd @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl8480,zip_derived_cl43,zip_derived_cl122,zip_derived_cl8401,zip_derived_cl128]) ).
thf(zip_derived_cl128_011,plain,
! [X0: $i] :
~ ( aReductOfIn0 @ X0 @ xd @ xR ),
inference(cnf,[status(esa)],[m__818]) ).
thf(zip_derived_cl8844,plain,
( xd
= ( sk__18 @ xd @ xb ) ),
inference(clc,[status(thm)],[zip_derived_cl8499,zip_derived_cl128]) ).
thf(m__,conjecture,
( ( sdtmndtasgtdt0 @ xb @ xR @ xd )
| ( sdtmndtplgtdt0 @ xb @ xR @ xd )
| ? [W0: $i] :
( ( sdtmndtplgtdt0 @ W0 @ xR @ xd )
& ( aReductOfIn0 @ W0 @ xb @ xR )
& ( aElement0 @ W0 ) )
| ( aReductOfIn0 @ xd @ xb @ xR )
| ( xb = xd ) ) ).
thf(zf_stmt_15,negated_conjecture,
~ ( ( sdtmndtasgtdt0 @ xb @ xR @ xd )
| ( sdtmndtplgtdt0 @ xb @ xR @ xd )
| ? [W0: $i] :
( ( sdtmndtplgtdt0 @ W0 @ xR @ xd )
& ( aReductOfIn0 @ W0 @ xb @ xR )
& ( aElement0 @ W0 ) )
| ( aReductOfIn0 @ xd @ xb @ xR )
| ( xb = xd ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl134,plain,
~ ( sdtmndtasgtdt0 @ xb @ xR @ xd ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl8848,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl8402,zip_derived_cl8844,zip_derived_cl134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COM019+4 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0SLKeRFvdI true
% 0.15/0.35 % Computer : n020.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 12:58:58 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
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.55/0.67 % Total configuration time : 435
% 0.55/0.67 % Estimated wc time : 1092
% 0.55/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.64/2.14 % Solved by fo/fo13.sh.
% 10.64/2.14 % done 1814 iterations in 1.347s
% 10.64/2.14 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.64/2.14 % SZS output start Refutation
% See solution above
% 10.64/2.14
% 10.64/2.14
% 10.64/2.14 % Terminating...
% 10.64/2.18 % Runner terminated.
% 10.64/2.21 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------