%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM542+2 : 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.1coXEU3keE true
% Computer : n014.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 04:47:23 PM UTC 2025
% Result : Theorem 29.94s 4.87s
% Output : Refutation 29.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM542+2 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1coXEU3keE true
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:29:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.56/0.67 % Total configuration time : 435
% 0.56/0.67 % Estimated wc time : 1092
% 0.56/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 29.94/4.87 % Solved by fo/fo5.sh.
% 29.94/4.87 % done 5787 iterations in 4.059s
% 29.94/4.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 29.94/4.87 % SZS output start Refutation
% 29.94/4.87 thf(aSet0_type, type, aSet0: $i > $o).
% 29.94/4.87 thf(sk__9_type, type, sk__9: $i).
% 29.94/4.87 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $o).
% 29.94/4.87 thf(sz00_type, type, sz00: $i).
% 29.94/4.87 thf(sk__4_type, type, sk__4: $i > $i).
% 29.94/4.87 thf(szszuzczcdt0_type, type, szszuzczcdt0: $i > $i).
% 29.94/4.87 thf(xm_type, type, xm: $i).
% 29.94/4.87 thf(slbdtrb0_type, type, slbdtrb0: $i > $i).
% 29.94/4.87 thf(sdtlseqdt0_type, type, sdtlseqdt0: $i > $i > $o).
% 29.94/4.87 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 29.94/4.87 thf(szNzAzT0_type, type, szNzAzT0: $i).
% 29.94/4.87 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 29.94/4.87 thf(xn_type, type, xn: $i).
% 29.94/4.87 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $o).
% 29.94/4.87 thf(m__, conjecture,
% 29.94/4.87 (( ( ( aSubsetOf0 @ ( slbdtrb0 @ xm ) @ ( slbdtrb0 @ xn ) ) &
% 29.94/4.87 ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) ) =>
% 29.94/4.87 ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) ) ) &
% 29.94/4.87 ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) <=>
% 29.94/4.87 ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ xn ) &
% 29.94/4.87 ( aElementOf0 @ W0 @ szNzAzT0 ) ) ) ) &
% 29.94/4.87 ( aSet0 @ ( slbdtrb0 @ xn ) ) &
% 29.94/4.87 ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) ) <=>
% 29.94/4.87 ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ xm ) &
% 29.94/4.87 ( aElementOf0 @ W0 @ szNzAzT0 ) ) ) ) &
% 29.94/4.87 ( aSet0 @ ( slbdtrb0 @ xm ) ) ) =>
% 29.94/4.87 ( sdtlseqdt0 @ xm @ xn ) ) &
% 29.94/4.87 ( ( sdtlseqdt0 @ xm @ xn ) =>
% 29.94/4.87 ( ( ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) ) <=>
% 29.94/4.87 ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ xm ) &
% 29.94/4.87 ( aElementOf0 @ W0 @ szNzAzT0 ) ) ) ) &
% 29.94/4.87 ( aSet0 @ ( slbdtrb0 @ xm ) ) ) =>
% 29.94/4.87 ( ( ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) <=>
% 29.94/4.87 ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ xn ) &
% 29.94/4.87 ( aElementOf0 @ W0 @ szNzAzT0 ) ) ) ) &
% 29.94/4.87 ( aSet0 @ ( slbdtrb0 @ xn ) ) ) =>
% 29.94/4.87 ( ( aSubsetOf0 @ ( slbdtrb0 @ xm ) @ ( slbdtrb0 @ xn ) ) |
% 29.94/4.87 ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) ) =>
% 29.94/4.87 ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) ) ) ) ) ) ))).
% 29.94/4.87 thf(zf_stmt_0, axiom,
% 29.94/4.87 (![W0:$i]:
% 29.94/4.87 ( ( zip_tseitin_3 @ W0 ) <=>
% 29.94/4.87 ( ( aElementOf0 @ W0 @ szNzAzT0 ) &
% 29.94/4.87 ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ xm ) ) ))).
% 29.94/4.87 thf(zip_derived_cl101, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 ( (sdtlseqdt0 @ (szszuzczcdt0 @ X0) @ xm) | ~ (zip_tseitin_3 @ X0))),
% 29.94/4.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 29.94/4.87 thf(m__1964, axiom,
% 29.94/4.87 (( aElementOf0 @ xn @ szNzAzT0 ) & ( aElementOf0 @ xm @ szNzAzT0 ))).
% 29.94/4.87 thf(zip_derived_cl96, plain, ( (aElementOf0 @ xm @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(mLessSucc, axiom,
% 29.94/4.87 (![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 29.94/4.87 ( sdtlseqdt0 @ W0 @ ( szszuzczcdt0 @ W0 ) ) ))).
% 29.94/4.87 thf(zip_derived_cl57, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 ( (sdtlseqdt0 @ X0 @ (szszuzczcdt0 @ X0))
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('cnf', [status(esa)], [mLessSucc])).
% 29.94/4.87 thf(zip_derived_cl320, plain, ( (sdtlseqdt0 @ xm @ (szszuzczcdt0 @ xm))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl57])).
% 29.94/4.87 thf(zip_derived_cl96, plain, ( (aElementOf0 @ xm @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(mLessASymm, axiom,
% 29.94/4.87 (![W0:$i,W1:$i]:
% 29.94/4.87 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 29.94/4.87 ( ( ( sdtlseqdt0 @ W0 @ W1 ) & ( sdtlseqdt0 @ W1 @ W0 ) ) =>
% 29.94/4.87 ( ( W0 ) = ( W1 ) ) ) ))).
% 29.94/4.87 thf(zip_derived_cl59, plain,
% 29.94/4.87 (![X0 : $i, X1 : $i]:
% 29.94/4.87 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 29.94/4.87 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 29.94/4.87 | ((X0) = (X1))
% 29.94/4.87 | ~ (sdtlseqdt0 @ X1 @ X0)
% 29.94/4.87 | ~ (sdtlseqdt0 @ X0 @ X1))),
% 29.94/4.87 inference('cnf', [status(esa)], [mLessASymm])).
% 29.94/4.87 thf(zip_derived_cl2032, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 (~ (sdtlseqdt0 @ xm @ X0)
% 29.94/4.87 | ~ (sdtlseqdt0 @ X0 @ xm)
% 29.94/4.87 | ((xm) = (X0))
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl59])).
% 29.94/4.87 thf(zip_derived_cl2056, plain,
% 29.94/4.87 ((~ (aElementOf0 @ (szszuzczcdt0 @ xm) @ szNzAzT0)
% 29.94/4.87 | ((xm) = (szszuzczcdt0 @ xm))
% 29.94/4.87 | ~ (sdtlseqdt0 @ (szszuzczcdt0 @ xm) @ xm))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl320, zip_derived_cl2032])).
% 29.94/4.87 thf(zip_derived_cl96, plain, ( (aElementOf0 @ xm @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(mSuccNum, axiom,
% 29.94/4.87 (![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 29.94/4.87 ( ( aElementOf0 @ ( szszuzczcdt0 @ W0 ) @ szNzAzT0 ) &
% 29.94/4.87 ( ( szszuzczcdt0 @ W0 ) != ( sz00 ) ) ) ))).
% 29.94/4.87 thf(zip_derived_cl46, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 ( (aElementOf0 @ (szszuzczcdt0 @ X0) @ szNzAzT0)
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('cnf', [status(esa)], [mSuccNum])).
% 29.94/4.87 thf(zip_derived_cl246, plain,
% 29.94/4.87 ( (aElementOf0 @ (szszuzczcdt0 @ xm) @ szNzAzT0)),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl46])).
% 29.94/4.87 thf(zip_derived_cl2062, plain,
% 29.94/4.87 ((((xm) = (szszuzczcdt0 @ xm))
% 29.94/4.87 | ~ (sdtlseqdt0 @ (szszuzczcdt0 @ xm) @ xm))),
% 29.94/4.87 inference('demod', [status(thm)], [zip_derived_cl2056, zip_derived_cl246])).
% 29.94/4.87 thf(zip_derived_cl96, plain, ( (aElementOf0 @ xm @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(mNatNSucc, axiom,
% 29.94/4.87 (![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ szNzAzT0 ) => ( ( W0 ) != ( szszuzczcdt0 @ W0 ) ) ))).
% 29.94/4.87 thf(zip_derived_cl51, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 (((X0) != (szszuzczcdt0 @ X0)) | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('cnf', [status(esa)], [mNatNSucc])).
% 29.94/4.87 thf(zip_derived_cl204, plain, (((xm) != (szszuzczcdt0 @ xm))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl51])).
% 29.94/4.87 thf(zip_derived_cl2063, plain, (~ (sdtlseqdt0 @ (szszuzczcdt0 @ xm) @ xm)),
% 29.94/4.87 inference('simplify_reflect-', [status(thm)],
% 29.94/4.87 [zip_derived_cl2062, zip_derived_cl204])).
% 29.94/4.87 thf(zip_derived_cl2159, plain, (~ (zip_tseitin_3 @ xm)),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl2063])).
% 29.94/4.87 thf(zip_derived_cl95, plain, ( (aElementOf0 @ xn @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(zip_derived_cl96, plain, ( (aElementOf0 @ xm @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(mLessTotal, axiom,
% 29.94/4.87 (![W0:$i,W1:$i]:
% 29.94/4.87 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 29.94/4.87 ( ( sdtlseqdt0 @ W0 @ W1 ) | ( sdtlseqdt0 @ ( szszuzczcdt0 @ W1 ) @ W0 ) ) ))).
% 29.94/4.87 thf(zip_derived_cl61, plain,
% 29.94/4.87 (![X0 : $i, X1 : $i]:
% 29.94/4.87 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 29.94/4.87 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 29.94/4.87 | (sdtlseqdt0 @ X0 @ X1)
% 29.94/4.87 | (sdtlseqdt0 @ (szszuzczcdt0 @ X1) @ X0))),
% 29.94/4.87 inference('cnf', [status(esa)], [mLessTotal])).
% 29.94/4.87 thf(zip_derived_cl2215, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 ( (sdtlseqdt0 @ (szszuzczcdt0 @ X0) @ xm)
% 29.94/4.87 | (sdtlseqdt0 @ xm @ X0)
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl61])).
% 29.94/4.87 thf(zip_derived_cl5776, plain,
% 29.94/4.87 (( (sdtlseqdt0 @ xm @ xn) | (sdtlseqdt0 @ (szszuzczcdt0 @ xn) @ xm))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl2215])).
% 29.94/4.87 thf(zip_derived_cl95, plain, ( (aElementOf0 @ xn @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(zip_derived_cl46, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 ( (aElementOf0 @ (szszuzczcdt0 @ X0) @ szNzAzT0)
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('cnf', [status(esa)], [mSuccNum])).
% 29.94/4.87 thf(zip_derived_cl247, plain,
% 29.94/4.87 ( (aElementOf0 @ (szszuzczcdt0 @ xn) @ szNzAzT0)),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl46])).
% 29.94/4.87 thf(mNatExtra, axiom,
% 29.94/4.87 (![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 29.94/4.87 ( ( ( W0 ) = ( sz00 ) ) |
% 29.94/4.87 ( ?[W1:$i]:
% 29.94/4.87 ( ( ( W0 ) = ( szszuzczcdt0 @ W1 ) ) &
% 29.94/4.87 ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) ) ))).
% 29.94/4.87 thf(zip_derived_cl49, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 (((X0) = (szszuzczcdt0 @ (sk__4 @ X0)))
% 29.94/4.87 | ((X0) = (sz00))
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('cnf', [status(esa)], [mNatExtra])).
% 29.94/4.87 thf(zip_derived_cl949, plain,
% 29.94/4.87 ((((szszuzczcdt0 @ xn) = (sz00))
% 29.94/4.87 | ((szszuzczcdt0 @ xn) = (szszuzczcdt0 @ (sk__4 @ (szszuzczcdt0 @ xn)))))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl247, zip_derived_cl49])).
% 29.94/4.87 thf(zip_derived_cl95, plain, ( (aElementOf0 @ xn @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(zip_derived_cl47, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 (((szszuzczcdt0 @ X0) != (sz00)) | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('cnf', [status(esa)], [mSuccNum])).
% 29.94/4.87 thf(zip_derived_cl202, plain, (((szszuzczcdt0 @ xn) != (sz00))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl47])).
% 29.94/4.87 thf(zip_derived_cl970, plain,
% 29.94/4.87 (((szszuzczcdt0 @ xn) = (szszuzczcdt0 @ (sk__4 @ (szszuzczcdt0 @ xn))))),
% 29.94/4.87 inference('simplify_reflect-', [status(thm)],
% 29.94/4.87 [zip_derived_cl949, zip_derived_cl202])).
% 29.94/4.87 thf(zip_derived_cl102, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 ( (zip_tseitin_3 @ X0)
% 29.94/4.87 | ~ (sdtlseqdt0 @ (szszuzczcdt0 @ X0) @ xm)
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 29.94/4.87 thf(zip_derived_cl1460, plain,
% 29.94/4.87 ((~ (sdtlseqdt0 @ (szszuzczcdt0 @ xn) @ xm)
% 29.94/4.87 | ~ (aElementOf0 @ (sk__4 @ (szszuzczcdt0 @ xn)) @ szNzAzT0)
% 29.94/4.87 | (zip_tseitin_3 @ (sk__4 @ (szszuzczcdt0 @ xn))))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl970, zip_derived_cl102])).
% 29.94/4.87 thf(zip_derived_cl247, plain,
% 29.94/4.87 ( (aElementOf0 @ (szszuzczcdt0 @ xn) @ szNzAzT0)),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl46])).
% 29.94/4.87 thf(zip_derived_cl50, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 ( (aElementOf0 @ (sk__4 @ X0) @ szNzAzT0)
% 29.94/4.87 | ((X0) = (sz00))
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('cnf', [status(esa)], [mNatExtra])).
% 29.94/4.87 thf(zip_derived_cl659, plain,
% 29.94/4.87 ((((szszuzczcdt0 @ xn) = (sz00))
% 29.94/4.87 | (aElementOf0 @ (sk__4 @ (szszuzczcdt0 @ xn)) @ szNzAzT0))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl247, zip_derived_cl50])).
% 29.94/4.87 thf(zip_derived_cl202, plain, (((szszuzczcdt0 @ xn) != (sz00))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl47])).
% 29.94/4.87 thf(zip_derived_cl672, plain,
% 29.94/4.87 ( (aElementOf0 @ (sk__4 @ (szszuzczcdt0 @ xn)) @ szNzAzT0)),
% 29.94/4.87 inference('simplify_reflect-', [status(thm)],
% 29.94/4.87 [zip_derived_cl659, zip_derived_cl202])).
% 29.94/4.87 thf(zip_derived_cl1479, plain,
% 29.94/4.87 ((~ (sdtlseqdt0 @ (szszuzczcdt0 @ xn) @ xm)
% 29.94/4.87 | (zip_tseitin_3 @ (sk__4 @ (szszuzczcdt0 @ xn))))),
% 29.94/4.87 inference('demod', [status(thm)], [zip_derived_cl1460, zip_derived_cl672])).
% 29.94/4.87 thf(zip_derived_cl970, plain,
% 29.94/4.87 (((szszuzczcdt0 @ xn) = (szszuzczcdt0 @ (sk__4 @ (szszuzczcdt0 @ xn))))),
% 29.94/4.87 inference('simplify_reflect-', [status(thm)],
% 29.94/4.87 [zip_derived_cl949, zip_derived_cl202])).
% 29.94/4.87 thf(zip_derived_cl95, plain, ( (aElementOf0 @ xn @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(mSuccEquSucc, axiom,
% 29.94/4.87 (![W0:$i,W1:$i]:
% 29.94/4.87 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 29.94/4.87 ( ( ( szszuzczcdt0 @ W0 ) = ( szszuzczcdt0 @ W1 ) ) =>
% 29.94/4.87 ( ( W0 ) = ( W1 ) ) ) ))).
% 29.94/4.87 thf(zip_derived_cl48, plain,
% 29.94/4.87 (![X0 : $i, X1 : $i]:
% 29.94/4.87 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 29.94/4.87 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 29.94/4.87 | ((X0) = (X1))
% 29.94/4.87 | ((szszuzczcdt0 @ X0) != (szszuzczcdt0 @ X1)))),
% 29.94/4.87 inference('cnf', [status(esa)], [mSuccEquSucc])).
% 29.94/4.87 thf(zip_derived_cl921, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 (((szszuzczcdt0 @ xn) != (szszuzczcdt0 @ X0))
% 29.94/4.87 | ((xn) = (X0))
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl48])).
% 29.94/4.87 thf(zip_derived_cl1474, plain,
% 29.94/4.87 ((((szszuzczcdt0 @ xn) != (szszuzczcdt0 @ xn))
% 29.94/4.87 | ~ (aElementOf0 @ (sk__4 @ (szszuzczcdt0 @ xn)) @ szNzAzT0)
% 29.94/4.87 | ((xn) = (sk__4 @ (szszuzczcdt0 @ xn))))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl970, zip_derived_cl921])).
% 29.94/4.87 thf(zip_derived_cl672, plain,
% 29.94/4.87 ( (aElementOf0 @ (sk__4 @ (szszuzczcdt0 @ xn)) @ szNzAzT0)),
% 29.94/4.87 inference('simplify_reflect-', [status(thm)],
% 29.94/4.87 [zip_derived_cl659, zip_derived_cl202])).
% 29.94/4.87 thf(zip_derived_cl1483, plain,
% 29.94/4.87 ((((szszuzczcdt0 @ xn) != (szszuzczcdt0 @ xn))
% 29.94/4.87 | ((xn) = (sk__4 @ (szszuzczcdt0 @ xn))))),
% 29.94/4.87 inference('demod', [status(thm)], [zip_derived_cl1474, zip_derived_cl672])).
% 29.94/4.87 thf(zip_derived_cl1484, plain, (((xn) = (sk__4 @ (szszuzczcdt0 @ xn)))),
% 29.94/4.87 inference('simplify', [status(thm)], [zip_derived_cl1483])).
% 29.94/4.87 thf(zip_derived_cl1809, plain,
% 29.94/4.87 ((~ (sdtlseqdt0 @ (szszuzczcdt0 @ xn) @ xm) | (zip_tseitin_3 @ xn))),
% 29.94/4.87 inference('demod', [status(thm)],
% 29.94/4.87 [zip_derived_cl1479, zip_derived_cl1484])).
% 29.94/4.87 thf(zip_derived_cl5807, plain,
% 29.94/4.87 (( (sdtlseqdt0 @ xm @ xn) | (zip_tseitin_3 @ xn))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl5776, zip_derived_cl1809])).
% 29.94/4.87 thf(zf_stmt_1, type, zip_tseitin_3 : $i > $o).
% 29.94/4.87 thf(zf_stmt_2, type, zip_tseitin_2 : $i > $o).
% 29.94/4.87 thf(zf_stmt_3, axiom,
% 29.94/4.87 (![W0:$i]:
% 29.94/4.87 ( ( zip_tseitin_2 @ W0 ) <=>
% 29.94/4.87 ( ( aElementOf0 @ W0 @ szNzAzT0 ) &
% 29.94/4.87 ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ xn ) ) ))).
% 29.94/4.87 thf(zf_stmt_4, conjecture,
% 29.94/4.87 (( ( sdtlseqdt0 @ xm @ xn ) =>
% 29.94/4.87 ( ( ( aSet0 @ ( slbdtrb0 @ xm ) ) &
% 29.94/4.87 ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) ) <=>
% 29.94/4.87 ( zip_tseitin_3 @ W0 ) ) ) ) =>
% 29.94/4.87 ( ( ( aSet0 @ ( slbdtrb0 @ xn ) ) &
% 29.94/4.87 ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) <=>
% 29.94/4.87 ( zip_tseitin_2 @ W0 ) ) ) ) =>
% 29.94/4.87 ( ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) ) =>
% 29.94/4.87 ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) ) ) |
% 29.94/4.87 ( aSubsetOf0 @ ( slbdtrb0 @ xm ) @ ( slbdtrb0 @ xn ) ) ) ) ) ) &
% 29.94/4.87 ( ( ( aSet0 @ ( slbdtrb0 @ xm ) ) &
% 29.94/4.87 ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) ) <=>
% 29.94/4.87 ( zip_tseitin_3 @ W0 ) ) ) &
% 29.94/4.87 ( aSet0 @ ( slbdtrb0 @ xn ) ) &
% 29.94/4.87 ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) <=>
% 29.94/4.87 ( zip_tseitin_2 @ W0 ) ) ) &
% 29.94/4.87 ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) ) =>
% 29.94/4.87 ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) ) ) &
% 29.94/4.87 ( aSubsetOf0 @ ( slbdtrb0 @ xm ) @ ( slbdtrb0 @ xn ) ) ) =>
% 29.94/4.87 ( sdtlseqdt0 @ xm @ xn ) ))).
% 29.94/4.87 thf(zf_stmt_5, negated_conjecture,
% 29.94/4.87 (~( ( ( sdtlseqdt0 @ xm @ xn ) =>
% 29.94/4.87 ( ( ( aSet0 @ ( slbdtrb0 @ xm ) ) &
% 29.94/4.87 ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) ) <=>
% 29.94/4.87 ( zip_tseitin_3 @ W0 ) ) ) ) =>
% 29.94/4.87 ( ( ( aSet0 @ ( slbdtrb0 @ xn ) ) &
% 29.94/4.87 ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) <=>
% 29.94/4.87 ( zip_tseitin_2 @ W0 ) ) ) ) =>
% 29.94/4.87 ( ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) ) =>
% 29.94/4.87 ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) ) ) |
% 29.94/4.87 ( aSubsetOf0 @ ( slbdtrb0 @ xm ) @ ( slbdtrb0 @ xn ) ) ) ) ) ) &
% 29.94/4.87 ( ( ( aSet0 @ ( slbdtrb0 @ xm ) ) &
% 29.94/4.87 ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) ) <=>
% 29.94/4.87 ( zip_tseitin_3 @ W0 ) ) ) &
% 29.94/4.87 ( aSet0 @ ( slbdtrb0 @ xn ) ) &
% 29.94/4.87 ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) <=>
% 29.94/4.87 ( zip_tseitin_2 @ W0 ) ) ) &
% 29.94/4.87 ( ![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ xm ) ) =>
% 29.94/4.87 ( aElementOf0 @ W0 @ ( slbdtrb0 @ xn ) ) ) ) &
% 29.94/4.87 ( aSubsetOf0 @ ( slbdtrb0 @ xm ) @ ( slbdtrb0 @ xn ) ) ) =>
% 29.94/4.87 ( sdtlseqdt0 @ xm @ xn ) ) )),
% 29.94/4.87 inference('cnf.neg', [status(esa)], [zf_stmt_4])).
% 29.94/4.87 thf(zip_derived_cl191, plain,
% 29.94/4.87 (![X4 : $i]:
% 29.94/4.87 ( (sdtlseqdt0 @ xm @ xn)
% 29.94/4.87 | (aElementOf0 @ X4 @ (slbdtrb0 @ xm))
% 29.94/4.87 | ~ (zip_tseitin_3 @ X4))),
% 29.94/4.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 29.94/4.87 thf(zip_derived_cl121, plain,
% 29.94/4.87 (![X6 : $i]:
% 29.94/4.87 (~ (zip_tseitin_3 @ X6)
% 29.94/4.87 | (aElementOf0 @ X6 @ (slbdtrb0 @ xm))
% 29.94/4.87 | ~ (sdtlseqdt0 @ xm @ xn))),
% 29.94/4.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 29.94/4.87 thf(zip_derived_cl803, plain,
% 29.94/4.87 (![X4 : $i]:
% 29.94/4.87 (~ (zip_tseitin_3 @ X4) | (aElementOf0 @ X4 @ (slbdtrb0 @ xm)))),
% 29.94/4.87 inference('clc', [status(thm)], [zip_derived_cl191, zip_derived_cl121])).
% 29.94/4.87 thf(zip_derived_cl186, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 ( (sdtlseqdt0 @ xm @ xn)
% 29.94/4.87 | (aElementOf0 @ X0 @ (slbdtrb0 @ xn))
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ (slbdtrb0 @ xm)))),
% 29.94/4.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 29.94/4.87 thf(zip_derived_cl806, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 (~ (zip_tseitin_3 @ X0)
% 29.94/4.87 | (aElementOf0 @ X0 @ (slbdtrb0 @ xn))
% 29.94/4.87 | (sdtlseqdt0 @ xm @ xn))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl803, zip_derived_cl186])).
% 29.94/4.87 thf(zip_derived_cl95, plain, ( (aElementOf0 @ xn @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(mDefSeg, axiom,
% 29.94/4.87 (![W0:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 29.94/4.87 ( ![W1:$i]:
% 29.94/4.87 ( ( ( W1 ) = ( slbdtrb0 @ W0 ) ) <=>
% 29.94/4.87 ( ( aSet0 @ W1 ) &
% 29.94/4.87 ( ![W2:$i]:
% 29.94/4.87 ( ( aElementOf0 @ W2 @ W1 ) <=>
% 29.94/4.87 ( ( aElementOf0 @ W2 @ szNzAzT0 ) &
% 29.94/4.87 ( sdtlseqdt0 @ ( szszuzczcdt0 @ W2 ) @ W0 ) ) ) ) ) ) ) ))).
% 29.94/4.87 thf(zip_derived_cl88, plain,
% 29.94/4.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.94/4.87 (((X1) != (slbdtrb0 @ X0))
% 29.94/4.87 | (sdtlseqdt0 @ (szszuzczcdt0 @ X2) @ X0)
% 29.94/4.87 | ~ (aElementOf0 @ X2 @ X1)
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('cnf', [status(esa)], [mDefSeg])).
% 29.94/4.87 thf(zip_derived_cl3797, plain,
% 29.94/4.87 (![X0 : $i, X1 : $i]:
% 29.94/4.87 (~ (aElementOf0 @ X1 @ X0)
% 29.94/4.87 | (sdtlseqdt0 @ (szszuzczcdt0 @ X1) @ xn)
% 29.94/4.87 | ((X0) != (slbdtrb0 @ xn)))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl88])).
% 29.94/4.87 thf(zip_derived_cl4152, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 ( (sdtlseqdt0 @ (szszuzczcdt0 @ X0) @ xn)
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ (slbdtrb0 @ xn)))),
% 29.94/4.87 inference('eq_res', [status(thm)], [zip_derived_cl3797])).
% 29.94/4.87 thf(zip_derived_cl4208, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 ( (sdtlseqdt0 @ xm @ xn)
% 29.94/4.87 | ~ (zip_tseitin_3 @ X0)
% 29.94/4.87 | (sdtlseqdt0 @ (szszuzczcdt0 @ X0) @ xn))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl806, zip_derived_cl4152])).
% 29.94/4.87 thf(zip_derived_cl95, plain, ( (aElementOf0 @ xn @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(zip_derived_cl57, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 ( (sdtlseqdt0 @ X0 @ (szszuzczcdt0 @ X0))
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('cnf', [status(esa)], [mLessSucc])).
% 29.94/4.87 thf(zip_derived_cl321, plain, ( (sdtlseqdt0 @ xn @ (szszuzczcdt0 @ xn))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl57])).
% 29.94/4.87 thf(zip_derived_cl95, plain, ( (aElementOf0 @ xn @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(zip_derived_cl59, plain,
% 29.94/4.87 (![X0 : $i, X1 : $i]:
% 29.94/4.87 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 29.94/4.87 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 29.94/4.87 | ((X0) = (X1))
% 29.94/4.87 | ~ (sdtlseqdt0 @ X1 @ X0)
% 29.94/4.87 | ~ (sdtlseqdt0 @ X0 @ X1))),
% 29.94/4.87 inference('cnf', [status(esa)], [mLessASymm])).
% 29.94/4.87 thf(zip_derived_cl2033, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 (~ (sdtlseqdt0 @ xn @ X0)
% 29.94/4.87 | ~ (sdtlseqdt0 @ X0 @ xn)
% 29.94/4.87 | ((xn) = (X0))
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl59])).
% 29.94/4.87 thf(zip_derived_cl2162, plain,
% 29.94/4.87 ((~ (aElementOf0 @ (szszuzczcdt0 @ xn) @ szNzAzT0)
% 29.94/4.87 | ((xn) = (szszuzczcdt0 @ xn))
% 29.94/4.87 | ~ (sdtlseqdt0 @ (szszuzczcdt0 @ xn) @ xn))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl321, zip_derived_cl2033])).
% 29.94/4.87 thf(zip_derived_cl247, plain,
% 29.94/4.87 ( (aElementOf0 @ (szszuzczcdt0 @ xn) @ szNzAzT0)),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl46])).
% 29.94/4.87 thf(zip_derived_cl2166, plain,
% 29.94/4.87 ((((xn) = (szszuzczcdt0 @ xn))
% 29.94/4.87 | ~ (sdtlseqdt0 @ (szszuzczcdt0 @ xn) @ xn))),
% 29.94/4.87 inference('demod', [status(thm)], [zip_derived_cl2162, zip_derived_cl247])).
% 29.94/4.87 thf(zip_derived_cl95, plain, ( (aElementOf0 @ xn @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(zip_derived_cl51, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 (((X0) != (szszuzczcdt0 @ X0)) | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('cnf', [status(esa)], [mNatNSucc])).
% 29.94/4.87 thf(zip_derived_cl205, plain, (((xn) != (szszuzczcdt0 @ xn))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl51])).
% 29.94/4.87 thf(zip_derived_cl2167, plain, (~ (sdtlseqdt0 @ (szszuzczcdt0 @ xn) @ xn)),
% 29.94/4.87 inference('simplify_reflect-', [status(thm)],
% 29.94/4.87 [zip_derived_cl2166, zip_derived_cl205])).
% 29.94/4.87 thf(zip_derived_cl4292, plain,
% 29.94/4.87 ((~ (zip_tseitin_3 @ xn) | (sdtlseqdt0 @ xm @ xn))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl4208, zip_derived_cl2167])).
% 29.94/4.87 thf(zip_derived_cl5811, plain, ( (sdtlseqdt0 @ xm @ xn)),
% 29.94/4.87 inference('clc', [status(thm)], [zip_derived_cl5807, zip_derived_cl4292])).
% 29.94/4.87 thf(zip_derived_cl2032, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 (~ (sdtlseqdt0 @ xm @ X0)
% 29.94/4.87 | ~ (sdtlseqdt0 @ X0 @ xm)
% 29.94/4.87 | ((xm) = (X0))
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl59])).
% 29.94/4.87 thf(zip_derived_cl5817, plain,
% 29.94/4.87 ((~ (aElementOf0 @ xn @ szNzAzT0)
% 29.94/4.87 | ((xm) = (xn))
% 29.94/4.87 | ~ (sdtlseqdt0 @ xn @ xm))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl5811, zip_derived_cl2032])).
% 29.94/4.87 thf(zip_derived_cl95, plain, ( (aElementOf0 @ xn @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(zip_derived_cl5820, plain, ((((xm) = (xn)) | ~ (sdtlseqdt0 @ xn @ xm))),
% 29.94/4.87 inference('demod', [status(thm)], [zip_derived_cl5817, zip_derived_cl95])).
% 29.94/4.87 thf(zip_derived_cl139, plain,
% 29.94/4.87 (( (aElementOf0 @ sk__9 @ (slbdtrb0 @ xm)) | ~ (sdtlseqdt0 @ xm @ xn))),
% 29.94/4.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 29.94/4.87 thf(zip_derived_cl5811, plain, ( (sdtlseqdt0 @ xm @ xn)),
% 29.94/4.87 inference('clc', [status(thm)], [zip_derived_cl5807, zip_derived_cl4292])).
% 29.94/4.87 thf(zip_derived_cl5813, plain, ( (aElementOf0 @ sk__9 @ (slbdtrb0 @ xm))),
% 29.94/4.87 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl5811])).
% 29.94/4.87 thf(zip_derived_cl96, plain, ( (aElementOf0 @ xm @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(zip_derived_cl87, plain,
% 29.94/4.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.94/4.87 (((X1) != (slbdtrb0 @ X0))
% 29.94/4.87 | (aElementOf0 @ X2 @ szNzAzT0)
% 29.94/4.87 | ~ (aElementOf0 @ X2 @ X1)
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('cnf', [status(esa)], [mDefSeg])).
% 29.94/4.87 thf(zip_derived_cl1063, plain,
% 29.94/4.87 (![X0 : $i, X1 : $i]:
% 29.94/4.87 (~ (aElementOf0 @ X1 @ X0)
% 29.94/4.87 | (aElementOf0 @ X1 @ szNzAzT0)
% 29.94/4.87 | ((X0) != (slbdtrb0 @ xm)))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl87])).
% 29.94/4.87 thf(zip_derived_cl1114, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 ( (aElementOf0 @ X0 @ szNzAzT0)
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ (slbdtrb0 @ xm)))),
% 29.94/4.87 inference('eq_res', [status(thm)], [zip_derived_cl1063])).
% 29.94/4.87 thf(zip_derived_cl5839, plain, ( (aElementOf0 @ sk__9 @ szNzAzT0)),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl5813, zip_derived_cl1114])).
% 29.94/4.87 thf(zip_derived_cl95, plain, ( (aElementOf0 @ xn @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(zip_derived_cl61, plain,
% 29.94/4.87 (![X0 : $i, X1 : $i]:
% 29.94/4.87 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 29.94/4.87 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 29.94/4.87 | (sdtlseqdt0 @ X0 @ X1)
% 29.94/4.87 | (sdtlseqdt0 @ (szszuzczcdt0 @ X1) @ X0))),
% 29.94/4.87 inference('cnf', [status(esa)], [mLessTotal])).
% 29.94/4.87 thf(zip_derived_cl2216, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 ( (sdtlseqdt0 @ (szszuzczcdt0 @ X0) @ xn)
% 29.94/4.87 | (sdtlseqdt0 @ xn @ X0)
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl61])).
% 29.94/4.87 thf(zip_derived_cl5955, plain,
% 29.94/4.87 (( (sdtlseqdt0 @ xn @ sk__9)
% 29.94/4.87 | (sdtlseqdt0 @ (szszuzczcdt0 @ sk__9) @ xn))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl5839, zip_derived_cl2216])).
% 29.94/4.87 thf(zip_derived_cl99, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 ( (zip_tseitin_2 @ X0)
% 29.94/4.87 | ~ (sdtlseqdt0 @ (szszuzczcdt0 @ X0) @ xn)
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 29.94/4.87 thf(zip_derived_cl8069, plain,
% 29.94/4.87 (( (sdtlseqdt0 @ xn @ sk__9)
% 29.94/4.87 | ~ (aElementOf0 @ sk__9 @ szNzAzT0)
% 29.94/4.87 | (zip_tseitin_2 @ sk__9))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl5955, zip_derived_cl99])).
% 29.94/4.87 thf(zip_derived_cl5839, plain, ( (aElementOf0 @ sk__9 @ szNzAzT0)),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl5813, zip_derived_cl1114])).
% 29.94/4.87 thf(zip_derived_cl188, plain,
% 29.94/4.87 (![X2 : $i]:
% 29.94/4.87 ( (sdtlseqdt0 @ xm @ xn)
% 29.94/4.87 | (aElementOf0 @ X2 @ (slbdtrb0 @ xn))
% 29.94/4.87 | ~ (zip_tseitin_2 @ X2))),
% 29.94/4.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 29.94/4.87 thf(zip_derived_cl166, plain,
% 29.94/4.87 (![X8 : $i]:
% 29.94/4.87 (~ (zip_tseitin_2 @ X8)
% 29.94/4.87 | (aElementOf0 @ X8 @ (slbdtrb0 @ xn))
% 29.94/4.87 | ~ (sdtlseqdt0 @ xm @ xn))),
% 29.94/4.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 29.94/4.87 thf(zip_derived_cl743, plain,
% 29.94/4.87 (![X2 : $i]:
% 29.94/4.87 (~ (zip_tseitin_2 @ X2) | (aElementOf0 @ X2 @ (slbdtrb0 @ xn)))),
% 29.94/4.87 inference('clc', [status(thm)], [zip_derived_cl188, zip_derived_cl166])).
% 29.94/4.87 thf(zip_derived_cl148, plain,
% 29.94/4.87 ((~ (aElementOf0 @ sk__9 @ (slbdtrb0 @ xn)) | ~ (sdtlseqdt0 @ xm @ xn))),
% 29.94/4.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 29.94/4.87 thf(zip_derived_cl748, plain,
% 29.94/4.87 ((~ (zip_tseitin_2 @ sk__9) | ~ (sdtlseqdt0 @ xm @ xn))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl743, zip_derived_cl148])).
% 29.94/4.87 thf(zip_derived_cl5811, plain, ( (sdtlseqdt0 @ xm @ xn)),
% 29.94/4.87 inference('clc', [status(thm)], [zip_derived_cl5807, zip_derived_cl4292])).
% 29.94/4.87 thf(zip_derived_cl5815, plain, (~ (zip_tseitin_2 @ sk__9)),
% 29.94/4.87 inference('demod', [status(thm)], [zip_derived_cl748, zip_derived_cl5811])).
% 29.94/4.87 thf(zip_derived_cl8071, plain, ( (sdtlseqdt0 @ xn @ sk__9)),
% 29.94/4.87 inference('demod', [status(thm)],
% 29.94/4.87 [zip_derived_cl8069, zip_derived_cl5839, zip_derived_cl5815])).
% 29.94/4.87 thf(zip_derived_cl2033, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 (~ (sdtlseqdt0 @ xn @ X0)
% 29.94/4.87 | ~ (sdtlseqdt0 @ X0 @ xn)
% 29.94/4.87 | ((xn) = (X0))
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl59])).
% 29.94/4.87 thf(zip_derived_cl8076, plain,
% 29.94/4.87 ((~ (aElementOf0 @ sk__9 @ szNzAzT0)
% 29.94/4.87 | ((xn) = (sk__9))
% 29.94/4.87 | ~ (sdtlseqdt0 @ sk__9 @ xn))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl8071, zip_derived_cl2033])).
% 29.94/4.87 thf(zip_derived_cl5839, plain, ( (aElementOf0 @ sk__9 @ szNzAzT0)),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl5813, zip_derived_cl1114])).
% 29.94/4.87 thf(zip_derived_cl8079, plain,
% 29.94/4.87 ((((xn) = (sk__9)) | ~ (sdtlseqdt0 @ sk__9 @ xn))),
% 29.94/4.87 inference('demod', [status(thm)],
% 29.94/4.87 [zip_derived_cl8076, zip_derived_cl5839])).
% 29.94/4.87 thf(zip_derived_cl5839, plain, ( (aElementOf0 @ sk__9 @ szNzAzT0)),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl5813, zip_derived_cl1114])).
% 29.94/4.87 thf(zip_derived_cl95, plain, ( (aElementOf0 @ xn @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(zip_derived_cl96, plain, ( (aElementOf0 @ xm @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(mLessTrans, axiom,
% 29.94/4.87 (![W0:$i,W1:$i,W2:$i]:
% 29.94/4.87 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) &
% 29.94/4.87 ( aElementOf0 @ W2 @ szNzAzT0 ) ) =>
% 29.94/4.87 ( ( ( sdtlseqdt0 @ W0 @ W1 ) & ( sdtlseqdt0 @ W1 @ W2 ) ) =>
% 29.94/4.87 ( sdtlseqdt0 @ W0 @ W2 ) ) ))).
% 29.94/4.87 thf(zip_derived_cl60, plain,
% 29.94/4.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.94/4.87 (~ (sdtlseqdt0 @ X0 @ X1)
% 29.94/4.87 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 29.94/4.87 | ~ (aElementOf0 @ X2 @ szNzAzT0)
% 29.94/4.87 | (sdtlseqdt0 @ X0 @ X2)
% 29.94/4.87 | ~ (sdtlseqdt0 @ X1 @ X2))),
% 29.94/4.87 inference('cnf', [status(esa)], [mLessTrans])).
% 29.94/4.87 thf(zip_derived_cl2138, plain,
% 29.94/4.87 (![X0 : $i, X1 : $i]:
% 29.94/4.87 (~ (sdtlseqdt0 @ xm @ X0)
% 29.94/4.87 | (sdtlseqdt0 @ X1 @ X0)
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 29.94/4.87 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 29.94/4.87 | ~ (sdtlseqdt0 @ X1 @ xm))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl60])).
% 29.94/4.87 thf(zip_derived_cl29274, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 (~ (sdtlseqdt0 @ X0 @ xm)
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 29.94/4.87 | (sdtlseqdt0 @ X0 @ xn)
% 29.94/4.87 | ~ (sdtlseqdt0 @ xm @ xn))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl2138])).
% 29.94/4.87 thf(zip_derived_cl5811, plain, ( (sdtlseqdt0 @ xm @ xn)),
% 29.94/4.87 inference('clc', [status(thm)], [zip_derived_cl5807, zip_derived_cl4292])).
% 29.94/4.87 thf(zip_derived_cl29325, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 (~ (sdtlseqdt0 @ X0 @ xm)
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 29.94/4.87 | (sdtlseqdt0 @ X0 @ xn))),
% 29.94/4.87 inference('demod', [status(thm)],
% 29.94/4.87 [zip_derived_cl29274, zip_derived_cl5811])).
% 29.94/4.87 thf(zip_derived_cl29455, plain,
% 29.94/4.87 (( (sdtlseqdt0 @ sk__9 @ xn) | ~ (sdtlseqdt0 @ sk__9 @ xm))),
% 29.94/4.87 inference('sup-', [status(thm)],
% 29.94/4.87 [zip_derived_cl5839, zip_derived_cl29325])).
% 29.94/4.87 thf(zip_derived_cl803, plain,
% 29.94/4.87 (![X4 : $i]:
% 29.94/4.87 (~ (zip_tseitin_3 @ X4) | (aElementOf0 @ X4 @ (slbdtrb0 @ xm)))),
% 29.94/4.87 inference('clc', [status(thm)], [zip_derived_cl191, zip_derived_cl121])).
% 29.94/4.87 thf(zip_derived_cl5839, plain, ( (aElementOf0 @ sk__9 @ szNzAzT0)),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl5813, zip_derived_cl1114])).
% 29.94/4.87 thf(mSegSucc, axiom,
% 29.94/4.87 (![W0:$i,W1:$i]:
% 29.94/4.87 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ W1 ) ) ) <=>
% 29.94/4.87 ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ W1 ) ) | ( ( W0 ) = ( W1 ) ) ) ) ))).
% 29.94/4.87 thf(zip_derived_cl93, plain,
% 29.94/4.87 (![X0 : $i, X1 : $i]:
% 29.94/4.87 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 29.94/4.87 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 29.94/4.87 | (aElementOf0 @ X0 @ (slbdtrb0 @ (szszuzczcdt0 @ X1)))
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ (slbdtrb0 @ X1)))),
% 29.94/4.87 inference('cnf', [status(esa)], [mSegSucc])).
% 29.94/4.87 thf(zip_derived_cl5871, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 (~ (aElementOf0 @ sk__9 @ (slbdtrb0 @ X0))
% 29.94/4.87 | (aElementOf0 @ sk__9 @ (slbdtrb0 @ (szszuzczcdt0 @ X0)))
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl5839, zip_derived_cl93])).
% 29.94/4.87 thf(zip_derived_cl21711, plain,
% 29.94/4.87 ((~ (zip_tseitin_3 @ sk__9)
% 29.94/4.87 | ~ (aElementOf0 @ xm @ szNzAzT0)
% 29.94/4.87 | (aElementOf0 @ sk__9 @ (slbdtrb0 @ (szszuzczcdt0 @ xm))))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl803, zip_derived_cl5871])).
% 29.94/4.87 thf(zip_derived_cl5813, plain, ( (aElementOf0 @ sk__9 @ (slbdtrb0 @ xm))),
% 29.94/4.87 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl5811])).
% 29.94/4.87 thf(zip_derived_cl190, plain,
% 29.94/4.87 (![X3 : $i]:
% 29.94/4.87 ( (sdtlseqdt0 @ xm @ xn)
% 29.94/4.87 | (zip_tseitin_3 @ X3)
% 29.94/4.87 | ~ (aElementOf0 @ X3 @ (slbdtrb0 @ xm)))),
% 29.94/4.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 29.94/4.87 thf(zip_derived_cl112, plain,
% 29.94/4.87 (![X5 : $i]:
% 29.94/4.87 (~ (aElementOf0 @ X5 @ (slbdtrb0 @ xm))
% 29.94/4.87 | (zip_tseitin_3 @ X5)
% 29.94/4.87 | ~ (sdtlseqdt0 @ xm @ xn))),
% 29.94/4.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 29.94/4.87 thf(zip_derived_cl458, plain,
% 29.94/4.87 (![X3 : $i]:
% 29.94/4.87 (~ (aElementOf0 @ X3 @ (slbdtrb0 @ xm)) | (zip_tseitin_3 @ X3))),
% 29.94/4.87 inference('clc', [status(thm)], [zip_derived_cl190, zip_derived_cl112])).
% 29.94/4.87 thf(zip_derived_cl5841, plain, ( (zip_tseitin_3 @ sk__9)),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl5813, zip_derived_cl458])).
% 29.94/4.87 thf(zip_derived_cl96, plain, ( (aElementOf0 @ xm @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(zip_derived_cl21717, plain,
% 29.94/4.87 ( (aElementOf0 @ sk__9 @ (slbdtrb0 @ (szszuzczcdt0 @ xm)))),
% 29.94/4.87 inference('demod', [status(thm)],
% 29.94/4.87 [zip_derived_cl21711, zip_derived_cl5841, zip_derived_cl96])).
% 29.94/4.87 thf(zip_derived_cl246, plain,
% 29.94/4.87 ( (aElementOf0 @ (szszuzczcdt0 @ xm) @ szNzAzT0)),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl46])).
% 29.94/4.87 thf(zip_derived_cl88, plain,
% 29.94/4.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 29.94/4.87 (((X1) != (slbdtrb0 @ X0))
% 29.94/4.87 | (sdtlseqdt0 @ (szszuzczcdt0 @ X2) @ X0)
% 29.94/4.87 | ~ (aElementOf0 @ X2 @ X1)
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 29.94/4.87 inference('cnf', [status(esa)], [mDefSeg])).
% 29.94/4.87 thf(zip_derived_cl3787, plain,
% 29.94/4.87 (![X0 : $i, X1 : $i]:
% 29.94/4.87 (~ (aElementOf0 @ X1 @ X0)
% 29.94/4.87 | (sdtlseqdt0 @ (szszuzczcdt0 @ X1) @ (szszuzczcdt0 @ xm))
% 29.94/4.87 | ((X0) != (slbdtrb0 @ (szszuzczcdt0 @ xm))))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl246, zip_derived_cl88])).
% 29.94/4.87 thf(zip_derived_cl8891, plain,
% 29.94/4.87 (![X0 : $i]:
% 29.94/4.87 ( (sdtlseqdt0 @ (szszuzczcdt0 @ X0) @ (szszuzczcdt0 @ xm))
% 29.94/4.87 | ~ (aElementOf0 @ X0 @ (slbdtrb0 @ (szszuzczcdt0 @ xm))))),
% 29.94/4.87 inference('eq_res', [status(thm)], [zip_derived_cl3787])).
% 29.94/4.87 thf(zip_derived_cl21733, plain,
% 29.94/4.87 ( (sdtlseqdt0 @ (szszuzczcdt0 @ sk__9) @ (szszuzczcdt0 @ xm))),
% 29.94/4.87 inference('sup-', [status(thm)],
% 29.94/4.87 [zip_derived_cl21717, zip_derived_cl8891])).
% 29.94/4.87 thf(mSuccLess, axiom,
% 29.94/4.87 (![W0:$i,W1:$i]:
% 29.94/4.87 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 29.94/4.87 ( ( sdtlseqdt0 @ W0 @ W1 ) <=>
% 29.94/4.87 ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ ( szszuzczcdt0 @ W1 ) ) ) ))).
% 29.94/4.87 thf(zip_derived_cl56, plain,
% 29.94/4.87 (![X0 : $i, X1 : $i]:
% 29.94/4.87 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 29.94/4.87 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 29.94/4.87 | (sdtlseqdt0 @ X0 @ X1)
% 29.94/4.87 | ~ (sdtlseqdt0 @ (szszuzczcdt0 @ X0) @ (szszuzczcdt0 @ X1)))),
% 29.94/4.87 inference('cnf', [status(esa)], [mSuccLess])).
% 29.94/4.87 thf(zip_derived_cl21747, plain,
% 29.94/4.87 (( (sdtlseqdt0 @ sk__9 @ xm)
% 29.94/4.87 | ~ (aElementOf0 @ xm @ szNzAzT0)
% 29.94/4.87 | ~ (aElementOf0 @ sk__9 @ szNzAzT0))),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl21733, zip_derived_cl56])).
% 29.94/4.87 thf(zip_derived_cl96, plain, ( (aElementOf0 @ xm @ szNzAzT0)),
% 29.94/4.87 inference('cnf', [status(esa)], [m__1964])).
% 29.94/4.87 thf(zip_derived_cl5839, plain, ( (aElementOf0 @ sk__9 @ szNzAzT0)),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl5813, zip_derived_cl1114])).
% 29.94/4.87 thf(zip_derived_cl21749, plain, ( (sdtlseqdt0 @ sk__9 @ xm)),
% 29.94/4.87 inference('demod', [status(thm)],
% 29.94/4.87 [zip_derived_cl21747, zip_derived_cl96, zip_derived_cl5839])).
% 29.94/4.87 thf(zip_derived_cl29469, plain, ( (sdtlseqdt0 @ sk__9 @ xn)),
% 29.94/4.87 inference('demod', [status(thm)],
% 29.94/4.87 [zip_derived_cl29455, zip_derived_cl21749])).
% 29.94/4.87 thf(zip_derived_cl29471, plain, (((xn) = (sk__9))),
% 29.94/4.87 inference('demod', [status(thm)],
% 29.94/4.87 [zip_derived_cl8079, zip_derived_cl29469])).
% 29.94/4.87 thf(zip_derived_cl29471, plain, (((xn) = (sk__9))),
% 29.94/4.87 inference('demod', [status(thm)],
% 29.94/4.87 [zip_derived_cl8079, zip_derived_cl29469])).
% 29.94/4.87 thf(zip_derived_cl21749, plain, ( (sdtlseqdt0 @ sk__9 @ xm)),
% 29.94/4.87 inference('demod', [status(thm)],
% 29.94/4.87 [zip_derived_cl21747, zip_derived_cl96, zip_derived_cl5839])).
% 29.94/4.87 thf(zip_derived_cl29772, plain, (((xm) = (sk__9))),
% 29.94/4.87 inference('demod', [status(thm)],
% 29.94/4.87 [zip_derived_cl5820, zip_derived_cl29471, zip_derived_cl29471,
% 29.94/4.87 zip_derived_cl21749])).
% 29.94/4.87 thf(zip_derived_cl5841, plain, ( (zip_tseitin_3 @ sk__9)),
% 29.94/4.87 inference('sup-', [status(thm)], [zip_derived_cl5813, zip_derived_cl458])).
% 29.94/4.87 thf(zip_derived_cl31307, plain, ($false),
% 29.94/4.87 inference('demod', [status(thm)],
% 29.94/4.87 [zip_derived_cl2159, zip_derived_cl29772, zip_derived_cl5841])).
% 29.94/4.87
% 29.94/4.87 % SZS output end Refutation
% 29.94/4.87
% 29.94/4.87
% 29.94/4.87 % Terminating...
% 29.94/4.92 % Runner terminated.
% 29.94/4.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------