%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM019+4 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gXUn307NMQ true
% Computer : n025.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 04:30:35 PM UTC 2025
% Result : Theorem 17.28s 3.00s
% Output : Refutation 17.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COM019+4 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gXUn307NMQ true
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 13:48:38 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.49/0.58 % Total configuration time : 435
% 0.49/0.58 % Estimated wc time : 1092
% 0.49/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.86/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.86/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.86/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.86/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.86/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.86/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.86/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 17.28/3.00 % Solved by fo/fo13.sh.
% 17.28/3.00 % done 1814 iterations in 2.285s
% 17.28/3.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 17.28/3.00 % SZS output start Refutation
% 17.28/3.00 thf(sk__type, type, sk_: $i > $i > $i > $i).
% 17.28/3.00 thf(aElement0_type, type, aElement0: $i > $o).
% 17.28/3.00 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 17.28/3.00 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $o).
% 17.28/3.00 thf(xw_type, type, xw: $i).
% 17.28/3.00 thf(aNormalFormOfIn0_type, type, aNormalFormOfIn0: $i > $i > $i > $o).
% 17.28/3.00 thf(isTerminating0_type, type, isTerminating0: $i > $o).
% 17.28/3.00 thf(aRewritingSystem0_type, type, aRewritingSystem0: $i > $o).
% 17.28/3.00 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 17.28/3.00 thf(xv_type, type, xv: $i).
% 17.28/3.00 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 17.28/3.00 thf(sdtmndtasgtdt0_type, type, sdtmndtasgtdt0: $i > $i > $i > $o).
% 17.28/3.00 thf(xa_type, type, xa: $i).
% 17.28/3.00 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $o).
% 17.28/3.00 thf(iLess0_type, type, iLess0: $i > $i > $o).
% 17.28/3.00 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $o).
% 17.28/3.00 thf(isLocallyConfluent0_type, type, isLocallyConfluent0: $i > $o).
% 17.28/3.00 thf(xb_type, type, xb: $i).
% 17.28/3.00 thf(aReductOfIn0_type, type, aReductOfIn0: $i > $i > $i > $o).
% 17.28/3.00 thf(xd_type, type, xd: $i).
% 17.28/3.00 thf(sk__18_type, type, sk__18: $i > $i > $i).
% 17.28/3.00 thf(xR_type, type, xR: $i).
% 17.28/3.00 thf(xc_type, type, xc: $i).
% 17.28/3.00 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 17.28/3.00 thf(sdtmndtplgtdt0_type, type, sdtmndtplgtdt0: $i > $i > $i > $o).
% 17.28/3.00 thf(xu_type, type, xu: $i).
% 17.28/3.00 thf(m__818, axiom,
% 17.28/3.00 (( aNormalFormOfIn0 @ xd @ xw @ xR ) &
% 17.28/3.00 ( ~( ?[W0:$i]: ( aReductOfIn0 @ W0 @ xd @ xR ) ) ) &
% 17.28/3.00 ( sdtmndtasgtdt0 @ xw @ xR @ xd ) &
% 17.28/3.00 ( ( ( sdtmndtplgtdt0 @ xw @ xR @ xd ) &
% 17.28/3.00 ( ( ?[W0:$i]:
% 17.28/3.00 ( ( sdtmndtplgtdt0 @ W0 @ xR @ xd ) &
% 17.28/3.00 ( aReductOfIn0 @ W0 @ xw @ xR ) & ( aElement0 @ W0 ) ) ) |
% 17.28/3.00 ( aReductOfIn0 @ xd @ xw @ xR ) ) ) |
% 17.28/3.00 ( ( xw ) = ( xd ) ) ) &
% 17.28/3.00 ( aElement0 @ xd ))).
% 17.28/3.00 thf(zip_derived_cl127, plain, ( (sdtmndtasgtdt0 @ xw @ xR @ xd)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__818])).
% 17.28/3.00 thf(m__799, axiom,
% 17.28/3.00 (( sdtmndtasgtdt0 @ xv @ xR @ xw ) &
% 17.28/3.00 ( ( ( sdtmndtplgtdt0 @ xv @ xR @ xw ) &
% 17.28/3.00 ( ( ?[W0:$i]:
% 17.28/3.00 ( ( sdtmndtplgtdt0 @ W0 @ xR @ xw ) &
% 17.28/3.00 ( aReductOfIn0 @ W0 @ xv @ xR ) & ( aElement0 @ W0 ) ) ) |
% 17.28/3.00 ( aReductOfIn0 @ xw @ xv @ xR ) ) ) |
% 17.28/3.00 ( ( xv ) = ( xw ) ) ) &
% 17.28/3.00 ( sdtmndtasgtdt0 @ xu @ xR @ xw ) &
% 17.28/3.00 ( ( ( sdtmndtplgtdt0 @ xu @ xR @ xw ) &
% 17.28/3.00 ( ( ?[W0:$i]:
% 17.28/3.00 ( ( sdtmndtplgtdt0 @ W0 @ xR @ xw ) &
% 17.28/3.00 ( aReductOfIn0 @ W0 @ xu @ xR ) & ( aElement0 @ W0 ) ) ) |
% 17.28/3.00 ( aReductOfIn0 @ xw @ xu @ xR ) ) ) |
% 17.28/3.00 ( ( xu ) = ( xw ) ) ) &
% 17.28/3.00 ( aElement0 @ xw ))).
% 17.28/3.00 thf(zip_derived_cl116, plain, ( (sdtmndtasgtdt0 @ xu @ xR @ xw)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__799])).
% 17.28/3.00 thf(mTCRTrans, axiom,
% 17.28/3.00 (![W0:$i,W1:$i,W2:$i,W3:$i]:
% 17.28/3.00 ( ( ( aElement0 @ W0 ) & ( aRewritingSystem0 @ W1 ) &
% 17.28/3.00 ( aElement0 @ W2 ) & ( aElement0 @ W3 ) ) =>
% 17.28/3.00 ( ( ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 ) &
% 17.28/3.00 ( sdtmndtasgtdt0 @ W2 @ W1 @ W3 ) ) =>
% 17.28/3.00 ( sdtmndtasgtdt0 @ W0 @ W1 @ W3 ) ) ))).
% 17.28/3.00 thf(zip_derived_cl14, plain,
% 17.28/3.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.28/3.00 (~ (sdtmndtasgtdt0 @ X0 @ X1 @ X2)
% 17.28/3.00 | ~ (aElement0 @ X2)
% 17.28/3.00 | ~ (aRewritingSystem0 @ X1)
% 17.28/3.00 | ~ (aElement0 @ X0)
% 17.28/3.00 | ~ (aElement0 @ X3)
% 17.28/3.00 | (sdtmndtasgtdt0 @ X0 @ X1 @ X3)
% 17.28/3.00 | ~ (sdtmndtasgtdt0 @ X2 @ X1 @ X3))),
% 17.28/3.00 inference('cnf', [status(esa)], [mTCRTrans])).
% 17.28/3.00 thf(zip_derived_cl309, plain,
% 17.28/3.00 (![X0 : $i]:
% 17.28/3.00 (~ (aElement0 @ xw)
% 17.28/3.00 | ~ (aRewritingSystem0 @ xR)
% 17.28/3.00 | ~ (aElement0 @ xu)
% 17.28/3.00 | ~ (aElement0 @ X0)
% 17.28/3.00 | (sdtmndtasgtdt0 @ xu @ xR @ X0)
% 17.28/3.00 | ~ (sdtmndtasgtdt0 @ xw @ xR @ X0))),
% 17.28/3.00 inference('s_sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl14])).
% 17.28/3.00 thf(zip_derived_cl111, plain, ( (aElement0 @ xw)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__799])).
% 17.28/3.00 thf(m__656, axiom, (aRewritingSystem0 @ xR)).
% 17.28/3.00 thf(zip_derived_cl43, plain, ( (aRewritingSystem0 @ xR)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__656])).
% 17.28/3.00 thf(m__755, axiom,
% 17.28/3.00 (( sdtmndtasgtdt0 @ xu @ xR @ xb ) &
% 17.28/3.00 ( ( ( sdtmndtplgtdt0 @ xu @ xR @ xb ) &
% 17.28/3.00 ( ( ?[W0:$i]:
% 17.28/3.00 ( ( sdtmndtplgtdt0 @ W0 @ xR @ xb ) &
% 17.28/3.00 ( aReductOfIn0 @ W0 @ xu @ xR ) & ( aElement0 @ W0 ) ) ) |
% 17.28/3.00 ( aReductOfIn0 @ xb @ xu @ xR ) ) ) |
% 17.28/3.00 ( ( xu ) = ( xb ) ) ) &
% 17.28/3.00 ( aReductOfIn0 @ xu @ xa @ xR ) & ( aElement0 @ xu ))).
% 17.28/3.00 thf(zip_derived_cl97, plain, ( (aElement0 @ xu)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__755])).
% 17.28/3.00 thf(zip_derived_cl316, plain,
% 17.28/3.00 (![X0 : $i]:
% 17.28/3.00 (~ (aElement0 @ X0)
% 17.28/3.00 | (sdtmndtasgtdt0 @ xu @ xR @ X0)
% 17.28/3.00 | ~ (sdtmndtasgtdt0 @ xw @ xR @ X0))),
% 17.28/3.00 inference('demod', [status(thm)],
% 17.28/3.00 [zip_derived_cl309, zip_derived_cl111, zip_derived_cl43,
% 17.28/3.00 zip_derived_cl97])).
% 17.28/3.00 thf(zip_derived_cl2004, plain,
% 17.28/3.00 ((~ (aElement0 @ xd) | (sdtmndtasgtdt0 @ xu @ xR @ xd))),
% 17.28/3.00 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl316])).
% 17.28/3.00 thf(zip_derived_cl122, plain, ( (aElement0 @ xd)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__818])).
% 17.28/3.00 thf(zip_derived_cl2006, plain, ( (sdtmndtasgtdt0 @ xu @ xR @ xd)),
% 17.28/3.00 inference('demod', [status(thm)], [zip_derived_cl2004, zip_derived_cl122])).
% 17.28/3.00 thf(m__715, axiom,
% 17.28/3.00 (![W0:$i,W1:$i,W2:$i]:
% 17.28/3.00 ( ( ( ( sdtmndtasgtdt0 @ W0 @ xR @ W2 ) |
% 17.28/3.00 ( sdtmndtplgtdt0 @ W0 @ xR @ W2 ) |
% 17.28/3.00 ( ?[W3:$i]:
% 17.28/3.00 ( ( aElement0 @ W3 ) & ( aReductOfIn0 @ W3 @ W0 @ xR ) &
% 17.28/3.00 ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) ) ) |
% 17.28/3.00 ( aReductOfIn0 @ W2 @ W0 @ xR ) | ( ( W0 ) = ( W2 ) ) ) &
% 17.28/3.00 ( ( sdtmndtasgtdt0 @ W0 @ xR @ W1 ) |
% 17.28/3.00 ( sdtmndtplgtdt0 @ W0 @ xR @ W1 ) |
% 17.28/3.00 ( ?[W3:$i]:
% 17.28/3.00 ( ( aElement0 @ W3 ) & ( aReductOfIn0 @ W3 @ W0 @ xR ) &
% 17.28/3.00 ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) ) ) |
% 17.28/3.00 ( aReductOfIn0 @ W1 @ W0 @ xR ) | ( ( W0 ) = ( W1 ) ) ) &
% 17.28/3.00 ( aElement0 @ W2 ) & ( aElement0 @ W1 ) & ( aElement0 @ W0 ) ) =>
% 17.28/3.00 ( ( iLess0 @ W0 @ xa ) =>
% 17.28/3.00 ( ?[W3:$i]:
% 17.28/3.00 ( ( aElement0 @ W3 ) &
% 17.28/3.00 ( ( ( W1 ) = ( W3 ) ) |
% 17.28/3.00 ( ( ( aReductOfIn0 @ W3 @ W1 @ xR ) |
% 17.28/3.00 ( ?[W4:$i]:
% 17.28/3.00 ( ( aElement0 @ W4 ) & ( aReductOfIn0 @ W4 @ W1 @ xR ) &
% 17.28/3.00 ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) ) ) &
% 17.28/3.00 ( sdtmndtplgtdt0 @ W1 @ xR @ W3 ) ) ) &
% 17.28/3.00 ( sdtmndtasgtdt0 @ W1 @ xR @ W3 ) &
% 17.28/3.00 ( ( ( W2 ) = ( W3 ) ) |
% 17.28/3.00 ( ( ( aReductOfIn0 @ W3 @ W2 @ xR ) |
% 17.28/3.00 ( ?[W4:$i]:
% 17.28/3.00 ( ( aElement0 @ W4 ) & ( aReductOfIn0 @ W4 @ W2 @ xR ) &
% 17.28/3.00 ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) ) ) &
% 17.28/3.00 ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) ) ) &
% 17.28/3.00 ( sdtmndtasgtdt0 @ W2 @ xR @ W3 ) ) ) ) ))).
% 17.28/3.00 thf(zf_stmt_0, axiom,
% 17.28/3.00 (![W2:$i,W0:$i]:
% 17.28/3.00 ( ( ( ( W0 ) = ( W2 ) ) | ( aReductOfIn0 @ W2 @ W0 @ xR ) |
% 17.28/3.00 ( ?[W3:$i]:
% 17.28/3.00 ( ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) &
% 17.28/3.00 ( aReductOfIn0 @ W3 @ W0 @ xR ) & ( aElement0 @ W3 ) ) ) |
% 17.28/3.00 ( sdtmndtplgtdt0 @ W0 @ xR @ W2 ) | ( sdtmndtasgtdt0 @ W0 @ xR @ W2 ) ) =>
% 17.28/3.00 ( zip_tseitin_0 @ W2 @ W0 ) ))).
% 17.28/3.00 thf(zip_derived_cl67, plain,
% 17.28/3.00 (![X0 : $i, X1 : $i]:
% 17.28/3.00 ( (zip_tseitin_0 @ X0 @ X1) | ~ (sdtmndtasgtdt0 @ X1 @ xR @ X0))),
% 17.28/3.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 17.28/3.00 thf(zip_derived_cl2013, plain, ( (zip_tseitin_0 @ xd @ xu)),
% 17.28/3.00 inference('s_sup-', [status(thm)], [zip_derived_cl2006, zip_derived_cl67])).
% 17.28/3.00 thf(zip_derived_cl103, plain, ( (sdtmndtasgtdt0 @ xu @ xR @ xb)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__755])).
% 17.28/3.00 thf(zf_stmt_1, axiom,
% 17.28/3.00 (![W1:$i,W0:$i]:
% 17.28/3.00 ( ( ( ( W0 ) = ( W1 ) ) | ( aReductOfIn0 @ W1 @ W0 @ xR ) |
% 17.28/3.00 ( ?[W3:$i]:
% 17.28/3.00 ( ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) &
% 17.28/3.00 ( aReductOfIn0 @ W3 @ W0 @ xR ) & ( aElement0 @ W3 ) ) ) |
% 17.28/3.00 ( sdtmndtplgtdt0 @ W0 @ xR @ W1 ) | ( sdtmndtasgtdt0 @ W0 @ xR @ W1 ) ) =>
% 17.28/3.00 ( zip_tseitin_1 @ W1 @ W0 ) ))).
% 17.28/3.00 thf(zip_derived_cl72, plain,
% 17.28/3.00 (![X0 : $i, X1 : $i]:
% 17.28/3.00 ( (zip_tseitin_1 @ X0 @ X1) | ~ (sdtmndtasgtdt0 @ X1 @ xR @ X0))),
% 17.28/3.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 17.28/3.00 thf(zip_derived_cl221, plain, ( (zip_tseitin_1 @ xb @ xu)),
% 17.28/3.00 inference('s_sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl72])).
% 17.28/3.00 thf(zip_derived_cl98, plain, ( (aReductOfIn0 @ xu @ xa @ xR)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__755])).
% 17.28/3.00 thf(m__656_01, axiom,
% 17.28/3.00 (( isTerminating0 @ xR ) &
% 17.28/3.00 ( ![W0:$i,W1:$i]:
% 17.28/3.00 ( ( ( aElement0 @ W0 ) & ( aElement0 @ W1 ) ) =>
% 17.28/3.00 ( ( ( aReductOfIn0 @ W1 @ W0 @ xR ) |
% 17.28/3.00 ( ?[W2:$i]:
% 17.28/3.00 ( ( sdtmndtplgtdt0 @ W2 @ xR @ W1 ) &
% 17.28/3.00 ( aReductOfIn0 @ W2 @ W0 @ xR ) & ( aElement0 @ W2 ) ) ) |
% 17.28/3.00 ( sdtmndtplgtdt0 @ W0 @ xR @ W1 ) ) =>
% 17.28/3.00 ( iLess0 @ W1 @ W0 ) ) ) ) &
% 17.28/3.00 ( isLocallyConfluent0 @ xR ) &
% 17.28/3.00 ( ![W0:$i,W1:$i,W2:$i]:
% 17.28/3.00 ( ( ( aElement0 @ W0 ) & ( aElement0 @ W1 ) & ( aElement0 @ W2 ) &
% 17.28/3.00 ( aReductOfIn0 @ W1 @ W0 @ xR ) & ( aReductOfIn0 @ W2 @ W0 @ xR ) ) =>
% 17.28/3.00 ( ?[W3:$i]:
% 17.28/3.00 ( ( sdtmndtasgtdt0 @ W2 @ xR @ W3 ) &
% 17.28/3.00 ( ( ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) &
% 17.28/3.00 ( ( ?[W4:$i]:
% 17.28/3.00 ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) &
% 17.28/3.00 ( aReductOfIn0 @ W4 @ W2 @ xR ) & ( aElement0 @ W4 ) ) ) |
% 17.28/3.00 ( aReductOfIn0 @ W3 @ W2 @ xR ) ) ) |
% 17.28/3.00 ( ( W2 ) = ( W3 ) ) ) &
% 17.28/3.00 ( sdtmndtasgtdt0 @ W1 @ xR @ W3 ) &
% 17.28/3.00 ( ( ( sdtmndtplgtdt0 @ W1 @ xR @ W3 ) &
% 17.28/3.00 ( ( ?[W4:$i]:
% 17.28/3.00 ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) &
% 17.28/3.00 ( aReductOfIn0 @ W4 @ W1 @ xR ) & ( aElement0 @ W4 ) ) ) |
% 17.28/3.00 ( aReductOfIn0 @ W3 @ W1 @ xR ) ) ) |
% 17.28/3.00 ( ( W1 ) = ( W3 ) ) ) &
% 17.28/3.00 ( aElement0 @ W3 ) ) ) ) ))).
% 17.28/3.00 thf(zip_derived_cl56, plain,
% 17.28/3.00 (![X0 : $i, X1 : $i]:
% 17.28/3.00 (~ (aElement0 @ X0)
% 17.28/3.00 | ~ (aElement0 @ X1)
% 17.28/3.00 | (iLess0 @ X1 @ X0)
% 17.28/3.00 | ~ (aReductOfIn0 @ X1 @ X0 @ xR))),
% 17.28/3.00 inference('cnf', [status(esa)], [m__656_01])).
% 17.28/3.00 thf(zip_derived_cl328, plain,
% 17.28/3.00 ((~ (aElement0 @ xa) | ~ (aElement0 @ xu) | (iLess0 @ xu @ xa))),
% 17.28/3.00 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl56])).
% 17.28/3.00 thf(m__731, axiom,
% 17.28/3.00 (( aElement0 @ xc ) & ( aElement0 @ xb ) & ( aElement0 @ xa ))).
% 17.28/3.00 thf(zip_derived_cl62, plain, ( (aElement0 @ xa)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__731])).
% 17.28/3.00 thf(zip_derived_cl97, plain, ( (aElement0 @ xu)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__755])).
% 17.28/3.00 thf(zip_derived_cl333, plain, ( (iLess0 @ xu @ xa)),
% 17.28/3.00 inference('demod', [status(thm)],
% 17.28/3.00 [zip_derived_cl328, zip_derived_cl62, zip_derived_cl97])).
% 17.28/3.00 thf(zf_stmt_2, type, zip_tseitin_6 : $i > $i > $i > $o).
% 17.28/3.00 thf(zf_stmt_3, axiom,
% 17.28/3.00 (![W3:$i,W2:$i,W1:$i]:
% 17.28/3.00 ( ( zip_tseitin_6 @ W3 @ W2 @ W1 ) =>
% 17.28/3.00 ( ( sdtmndtasgtdt0 @ W2 @ xR @ W3 ) &
% 17.28/3.00 ( ( zip_tseitin_5 @ W3 @ W2 ) | ( ( W2 ) = ( W3 ) ) ) &
% 17.28/3.00 ( sdtmndtasgtdt0 @ W1 @ xR @ W3 ) &
% 17.28/3.00 ( ( zip_tseitin_3 @ W3 @ W1 ) | ( ( W1 ) = ( W3 ) ) ) &
% 17.28/3.00 ( aElement0 @ W3 ) ) ))).
% 17.28/3.00 thf(zf_stmt_4, type, zip_tseitin_5 : $i > $i > $o).
% 17.28/3.00 thf(zf_stmt_5, axiom,
% 17.28/3.00 (![W3:$i,W2:$i]:
% 17.28/3.00 ( ( zip_tseitin_5 @ W3 @ W2 ) =>
% 17.28/3.00 ( ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) &
% 17.28/3.00 ( ( ?[W4:$i]: ( zip_tseitin_4 @ W4 @ W3 @ W2 ) ) |
% 17.28/3.00 ( aReductOfIn0 @ W3 @ W2 @ xR ) ) ) ))).
% 17.28/3.00 thf(zf_stmt_6, type, zip_tseitin_4 : $i > $i > $i > $o).
% 17.28/3.00 thf(zf_stmt_7, axiom,
% 17.28/3.00 (![W4:$i,W3:$i,W2:$i]:
% 17.28/3.00 ( ( zip_tseitin_4 @ W4 @ W3 @ W2 ) =>
% 17.28/3.00 ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) & ( aReductOfIn0 @ W4 @ W2 @ xR ) &
% 17.28/3.00 ( aElement0 @ W4 ) ) ))).
% 17.28/3.00 thf(zf_stmt_8, type, zip_tseitin_3 : $i > $i > $o).
% 17.28/3.00 thf(zf_stmt_9, axiom,
% 17.28/3.00 (![W3:$i,W1:$i]:
% 17.28/3.00 ( ( zip_tseitin_3 @ W3 @ W1 ) =>
% 17.28/3.00 ( ( sdtmndtplgtdt0 @ W1 @ xR @ W3 ) &
% 17.28/3.00 ( ( ?[W4:$i]: ( zip_tseitin_2 @ W4 @ W3 @ W1 ) ) |
% 17.28/3.00 ( aReductOfIn0 @ W3 @ W1 @ xR ) ) ) ))).
% 17.28/3.00 thf(zf_stmt_10, type, zip_tseitin_2 : $i > $i > $i > $o).
% 17.28/3.00 thf(zf_stmt_11, axiom,
% 17.28/3.00 (![W4:$i,W3:$i,W1:$i]:
% 17.28/3.00 ( ( zip_tseitin_2 @ W4 @ W3 @ W1 ) =>
% 17.28/3.00 ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) & ( aReductOfIn0 @ W4 @ W1 @ xR ) &
% 17.28/3.00 ( aElement0 @ W4 ) ) ))).
% 17.28/3.00 thf(zf_stmt_12, type, zip_tseitin_1 : $i > $i > $o).
% 17.28/3.00 thf(zf_stmt_13, type, zip_tseitin_0 : $i > $i > $o).
% 17.28/3.00 thf(zf_stmt_14, axiom,
% 17.28/3.00 (![W0:$i,W1:$i,W2:$i]:
% 17.28/3.00 ( ( ( aElement0 @ W0 ) & ( aElement0 @ W1 ) & ( aElement0 @ W2 ) &
% 17.28/3.00 ( zip_tseitin_1 @ W1 @ W0 ) & ( zip_tseitin_0 @ W2 @ W0 ) ) =>
% 17.28/3.00 ( ( iLess0 @ W0 @ xa ) => ( ?[W3:$i]: ( zip_tseitin_6 @ W3 @ W2 @ W1 ) ) ) ))).
% 17.28/3.00 thf(zip_derived_cl88, plain,
% 17.28/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.28/3.00 (~ (iLess0 @ X0 @ xa)
% 17.28/3.00 | ~ (zip_tseitin_1 @ X1 @ X0)
% 17.28/3.00 | ~ (aElement0 @ X1)
% 17.28/3.00 | ~ (aElement0 @ X0)
% 17.28/3.00 | ~ (aElement0 @ X2)
% 17.28/3.00 | ~ (zip_tseitin_0 @ X2 @ X0)
% 17.28/3.00 | (zip_tseitin_6 @ (sk__18 @ X2 @ X1) @ X2 @ X1))),
% 17.28/3.00 inference('cnf', [status(esa)], [zf_stmt_14])).
% 17.28/3.00 thf(zip_derived_cl1055, plain,
% 17.28/3.00 (![X0 : $i, X1 : $i]:
% 17.28/3.00 (~ (zip_tseitin_1 @ X0 @ xu)
% 17.28/3.00 | ~ (aElement0 @ X0)
% 17.28/3.00 | ~ (aElement0 @ xu)
% 17.28/3.00 | ~ (aElement0 @ X1)
% 17.28/3.00 | ~ (zip_tseitin_0 @ X1 @ xu)
% 17.28/3.00 | (zip_tseitin_6 @ (sk__18 @ X1 @ X0) @ X1 @ X0))),
% 17.28/3.00 inference('s_sup-', [status(thm)], [zip_derived_cl333, zip_derived_cl88])).
% 17.28/3.00 thf(zip_derived_cl97, plain, ( (aElement0 @ xu)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__755])).
% 17.28/3.00 thf(zip_derived_cl1059, plain,
% 17.28/3.00 (![X0 : $i, X1 : $i]:
% 17.28/3.00 (~ (zip_tseitin_1 @ X0 @ xu)
% 17.28/3.00 | ~ (aElement0 @ X0)
% 17.28/3.00 | ~ (aElement0 @ X1)
% 17.28/3.00 | ~ (zip_tseitin_0 @ X1 @ xu)
% 17.28/3.00 | (zip_tseitin_6 @ (sk__18 @ X1 @ X0) @ X1 @ X0))),
% 17.28/3.00 inference('demod', [status(thm)], [zip_derived_cl1055, zip_derived_cl97])).
% 17.28/3.00 thf(zip_derived_cl7390, plain,
% 17.28/3.00 (![X0 : $i]:
% 17.28/3.00 (~ (aElement0 @ xb)
% 17.28/3.00 | ~ (aElement0 @ X0)
% 17.28/3.00 | ~ (zip_tseitin_0 @ X0 @ xu)
% 17.28/3.00 | (zip_tseitin_6 @ (sk__18 @ X0 @ xb) @ X0 @ xb))),
% 17.28/3.00 inference('s_sup-', [status(thm)],
% 17.28/3.00 [zip_derived_cl221, zip_derived_cl1059])).
% 17.28/3.00 thf(zip_derived_cl61, plain, ( (aElement0 @ xb)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__731])).
% 17.28/3.00 thf(zip_derived_cl7411, plain,
% 17.28/3.00 (![X0 : $i]:
% 17.28/3.00 (~ (aElement0 @ X0)
% 17.28/3.00 | ~ (zip_tseitin_0 @ X0 @ xu)
% 17.28/3.00 | (zip_tseitin_6 @ (sk__18 @ X0 @ xb) @ X0 @ xb))),
% 17.28/3.00 inference('demod', [status(thm)], [zip_derived_cl7390, zip_derived_cl61])).
% 17.28/3.00 thf(zip_derived_cl8359, plain,
% 17.28/3.00 ((~ (aElement0 @ xd) | (zip_tseitin_6 @ (sk__18 @ xd @ xb) @ xd @ xb))),
% 17.28/3.00 inference('s_sup-', [status(thm)],
% 17.28/3.00 [zip_derived_cl2013, zip_derived_cl7411])).
% 17.28/3.00 thf(zip_derived_cl122, plain, ( (aElement0 @ xd)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__818])).
% 17.28/3.00 thf(zip_derived_cl8383, plain,
% 17.28/3.00 ( (zip_tseitin_6 @ (sk__18 @ xd @ xb) @ xd @ xb)),
% 17.28/3.00 inference('demod', [status(thm)], [zip_derived_cl8359, zip_derived_cl122])).
% 17.28/3.00 thf(zip_derived_cl85, plain,
% 17.28/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.28/3.00 ( (sdtmndtasgtdt0 @ X0 @ xR @ X1) | ~ (zip_tseitin_6 @ X1 @ X2 @ X0))),
% 17.28/3.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 17.28/3.00 thf(zip_derived_cl8402, plain,
% 17.28/3.00 ( (sdtmndtasgtdt0 @ xb @ xR @ (sk__18 @ xd @ xb))),
% 17.28/3.00 inference('s_sup-', [status(thm)], [zip_derived_cl8383, zip_derived_cl85])).
% 17.28/3.00 thf(zip_derived_cl8383, plain,
% 17.28/3.00 ( (zip_tseitin_6 @ (sk__18 @ xd @ xb) @ xd @ xb)),
% 17.28/3.00 inference('demod', [status(thm)], [zip_derived_cl8359, zip_derived_cl122])).
% 17.28/3.00 thf(zip_derived_cl83, plain,
% 17.28/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.28/3.00 ( (sdtmndtasgtdt0 @ X0 @ xR @ X1) | ~ (zip_tseitin_6 @ X1 @ X0 @ X2))),
% 17.28/3.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 17.28/3.00 thf(zip_derived_cl8399, plain,
% 17.28/3.00 ( (sdtmndtasgtdt0 @ xd @ xR @ (sk__18 @ xd @ xb))),
% 17.28/3.00 inference('s_sup-', [status(thm)], [zip_derived_cl8383, zip_derived_cl83])).
% 17.28/3.00 thf(mTCRDef, axiom,
% 17.28/3.00 (![W0:$i,W1:$i,W2:$i]:
% 17.28/3.00 ( ( ( aElement0 @ W0 ) & ( aRewritingSystem0 @ W1 ) & ( aElement0 @ W2 ) ) =>
% 17.28/3.00 ( ( sdtmndtasgtdt0 @ W0 @ W1 @ W2 ) <=>
% 17.28/3.00 ( ( ( W0 ) = ( W2 ) ) | ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 ) ) ) ))).
% 17.28/3.00 thf(zip_derived_cl13, plain,
% 17.28/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.28/3.00 (~ (aRewritingSystem0 @ X0)
% 17.28/3.00 | ~ (aElement0 @ X1)
% 17.28/3.00 | ~ (aElement0 @ X2)
% 17.28/3.00 | (sdtmndtplgtdt0 @ X1 @ X0 @ X2)
% 17.28/3.00 | ((X1) = (X2))
% 17.28/3.00 | ~ (sdtmndtasgtdt0 @ X1 @ X0 @ X2))),
% 17.28/3.00 inference('cnf', [status(esa)], [mTCRDef])).
% 17.28/3.00 thf(zip_derived_cl8404, plain,
% 17.28/3.00 ((~ (aRewritingSystem0 @ xR)
% 17.28/3.00 | ~ (aElement0 @ xd)
% 17.28/3.00 | ~ (aElement0 @ (sk__18 @ xd @ xb))
% 17.28/3.00 | (sdtmndtplgtdt0 @ xd @ xR @ (sk__18 @ xd @ xb))
% 17.28/3.00 | ((xd) = (sk__18 @ xd @ xb)))),
% 17.28/3.00 inference('s_sup-', [status(thm)], [zip_derived_cl8399, zip_derived_cl13])).
% 17.28/3.00 thf(zip_derived_cl43, plain, ( (aRewritingSystem0 @ xR)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__656])).
% 17.28/3.00 thf(zip_derived_cl122, plain, ( (aElement0 @ xd)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__818])).
% 17.28/3.00 thf(zip_derived_cl8383, plain,
% 17.28/3.00 ( (zip_tseitin_6 @ (sk__18 @ xd @ xb) @ xd @ xb)),
% 17.28/3.00 inference('demod', [status(thm)], [zip_derived_cl8359, zip_derived_cl122])).
% 17.28/3.00 thf(zip_derived_cl87, plain,
% 17.28/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.28/3.00 ( (aElement0 @ X0) | ~ (zip_tseitin_6 @ X0 @ X1 @ X2))),
% 17.28/3.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 17.28/3.00 thf(zip_derived_cl8401, plain, ( (aElement0 @ (sk__18 @ xd @ xb))),
% 17.28/3.00 inference('s_sup-', [status(thm)], [zip_derived_cl8383, zip_derived_cl87])).
% 17.28/3.00 thf(zip_derived_cl8417, plain,
% 17.28/3.00 (( (sdtmndtplgtdt0 @ xd @ xR @ (sk__18 @ xd @ xb))
% 17.28/3.00 | ((xd) = (sk__18 @ xd @ xb)))),
% 17.28/3.00 inference('demod', [status(thm)],
% 17.28/3.00 [zip_derived_cl8404, zip_derived_cl43, zip_derived_cl122,
% 17.28/3.00 zip_derived_cl8401])).
% 17.28/3.00 thf(mTCDef, axiom,
% 17.28/3.00 (![W0:$i,W1:$i,W2:$i]:
% 17.28/3.00 ( ( ( aElement0 @ W0 ) & ( aRewritingSystem0 @ W1 ) & ( aElement0 @ W2 ) ) =>
% 17.28/3.00 ( ( sdtmndtplgtdt0 @ W0 @ W1 @ W2 ) <=>
% 17.28/3.00 ( ( aReductOfIn0 @ W2 @ W0 @ W1 ) |
% 17.28/3.00 ( ?[W3:$i]:
% 17.28/3.00 ( ( sdtmndtplgtdt0 @ W3 @ W1 @ W2 ) &
% 17.28/3.00 ( aReductOfIn0 @ W3 @ W0 @ W1 ) & ( aElement0 @ W3 ) ) ) ) ) ))).
% 17.28/3.00 thf(zip_derived_cl8, plain,
% 17.28/3.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.28/3.00 (~ (aRewritingSystem0 @ X0)
% 17.28/3.00 | ~ (aElement0 @ X1)
% 17.28/3.00 | ~ (aElement0 @ X2)
% 17.28/3.00 | (aReductOfIn0 @ (sk_ @ X2 @ X0 @ X1) @ X1 @ X0)
% 17.28/3.00 | (aReductOfIn0 @ X2 @ X1 @ X0)
% 17.28/3.00 | ~ (sdtmndtplgtdt0 @ X1 @ X0 @ X2))),
% 17.28/3.00 inference('cnf', [status(esa)], [mTCDef])).
% 17.28/3.00 thf(zip_derived_cl8480, plain,
% 17.28/3.00 ((((xd) = (sk__18 @ xd @ xb))
% 17.28/3.00 | ~ (aRewritingSystem0 @ xR)
% 17.28/3.00 | ~ (aElement0 @ xd)
% 17.28/3.00 | ~ (aElement0 @ (sk__18 @ xd @ xb))
% 17.28/3.00 | (aReductOfIn0 @ (sk_ @ (sk__18 @ xd @ xb) @ xR @ xd) @ xd @ xR)
% 17.28/3.00 | (aReductOfIn0 @ (sk__18 @ xd @ xb) @ xd @ xR))),
% 17.28/3.00 inference('s_sup-', [status(thm)], [zip_derived_cl8417, zip_derived_cl8])).
% 17.28/3.00 thf(zip_derived_cl43, plain, ( (aRewritingSystem0 @ xR)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__656])).
% 17.28/3.00 thf(zip_derived_cl122, plain, ( (aElement0 @ xd)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__818])).
% 17.28/3.00 thf(zip_derived_cl8401, plain, ( (aElement0 @ (sk__18 @ xd @ xb))),
% 17.28/3.00 inference('s_sup-', [status(thm)], [zip_derived_cl8383, zip_derived_cl87])).
% 17.28/3.00 thf(zip_derived_cl128, plain, (![X0 : $i]: ~ (aReductOfIn0 @ X0 @ xd @ xR)),
% 17.28/3.00 inference('cnf', [status(esa)], [m__818])).
% 17.28/3.00 thf(zip_derived_cl8499, plain,
% 17.28/3.00 ((((xd) = (sk__18 @ xd @ xb))
% 17.28/3.00 | (aReductOfIn0 @ (sk_ @ (sk__18 @ xd @ xb) @ xR @ xd) @ xd @ xR))),
% 17.28/3.00 inference('demod', [status(thm)],
% 17.28/3.00 [zip_derived_cl8480, zip_derived_cl43, zip_derived_cl122,
% 17.28/3.00 zip_derived_cl8401, zip_derived_cl128])).
% 17.28/3.00 thf(zip_derived_cl128, plain, (![X0 : $i]: ~ (aReductOfIn0 @ X0 @ xd @ xR)),
% 17.30/3.00 inference('cnf', [status(esa)], [m__818])).
% 17.30/3.00 thf(zip_derived_cl8844, plain, (((xd) = (sk__18 @ xd @ xb))),
% 17.30/3.00 inference('clc', [status(thm)], [zip_derived_cl8499, zip_derived_cl128])).
% 17.30/3.00 thf(m__, conjecture,
% 17.30/3.00 (( sdtmndtasgtdt0 @ xb @ xR @ xd ) | ( sdtmndtplgtdt0 @ xb @ xR @ xd ) |
% 17.30/3.00 ( ?[W0:$i]:
% 17.30/3.00 ( ( sdtmndtplgtdt0 @ W0 @ xR @ xd ) & ( aReductOfIn0 @ W0 @ xb @ xR ) &
% 17.30/3.00 ( aElement0 @ W0 ) ) ) |
% 17.30/3.00 ( aReductOfIn0 @ xd @ xb @ xR ) | ( ( xb ) = ( xd ) ))).
% 17.30/3.00 thf(zf_stmt_15, negated_conjecture,
% 17.30/3.00 (~( ( sdtmndtasgtdt0 @ xb @ xR @ xd ) |
% 17.30/3.00 ( sdtmndtplgtdt0 @ xb @ xR @ xd ) |
% 17.30/3.00 ( ?[W0:$i]:
% 17.30/3.00 ( ( sdtmndtplgtdt0 @ W0 @ xR @ xd ) &
% 17.30/3.00 ( aReductOfIn0 @ W0 @ xb @ xR ) & ( aElement0 @ W0 ) ) ) |
% 17.30/3.00 ( aReductOfIn0 @ xd @ xb @ xR ) | ( ( xb ) = ( xd ) ) )),
% 17.30/3.00 inference('cnf.neg', [status(esa)], [m__])).
% 17.30/3.00 thf(zip_derived_cl134, plain, (~ (sdtmndtasgtdt0 @ xb @ xR @ xd)),
% 17.30/3.00 inference('cnf', [status(esa)], [zf_stmt_15])).
% 17.30/3.00 thf(zip_derived_cl8848, plain, ($false),
% 17.30/3.00 inference('demod', [status(thm)],
% 17.30/3.00 [zip_derived_cl8402, zip_derived_cl8844, zip_derived_cl134])).
% 17.30/3.00
% 17.30/3.00 % SZS output end Refutation
% 17.30/3.00
% 17.30/3.00
% 17.30/3.00 % Terminating...
% 17.30/3.10 % Runner terminated.
% 17.30/3.12 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------