%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM518+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VrqafW2Z59 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 04:47:17 PM UTC 2025
% Result : Theorem 0.52s 1.01s
% Output : Refutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM518+3 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VrqafW2Z59 true
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 16:29:38 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.47/0.62 % Total configuration time : 435
% 0.47/0.62 % Estimated wc time : 1092
% 0.47/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/1.01 % Solved by fo/fo13.sh.
% 0.52/1.01 % done 187 iterations in 0.235s
% 0.52/1.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/1.01 % SZS output start Refutation
% 0.52/1.01 thf(aNaturalNumber0_type, type, aNaturalNumber0: $i > $o).
% 0.52/1.01 thf(zip_tseitin_15_type, type, zip_tseitin_15: $o).
% 0.52/1.01 thf(xp_type, type, xp: $i).
% 0.52/1.01 thf(sdtsldt0_type, type, sdtsldt0: $i > $i > $i).
% 0.52/1.01 thf(sz10_type, type, sz10: $i).
% 0.52/1.01 thf(sdtpldt0_type, type, sdtpldt0: $i > $i > $i).
% 0.52/1.01 thf(sdtasdt0_type, type, sdtasdt0: $i > $i > $i).
% 0.52/1.01 thf(sk__20_type, type, sk__20: $i).
% 0.52/1.01 thf(isPrime0_type, type, isPrime0: $i > $o).
% 0.52/1.01 thf(sz00_type, type, sz00: $i).
% 0.52/1.01 thf(zip_tseitin_16_type, type, zip_tseitin_16: $i > $o).
% 0.52/1.01 thf(doDivides0_type, type, doDivides0: $i > $i > $o).
% 0.52/1.01 thf(xn_type, type, xn: $i).
% 0.52/1.01 thf(sdtlseqdt0_type, type, sdtlseqdt0: $i > $i > $o).
% 0.52/1.01 thf(xm_type, type, xm: $i).
% 0.52/1.01 thf(xk_type, type, xk: $i).
% 0.52/1.01 thf(zip_tseitin_14_type, type, zip_tseitin_14: $i > $o).
% 0.52/1.01 thf(xr_type, type, xr: $i).
% 0.52/1.01 thf(zip_tseitin_17_type, type, zip_tseitin_17: $o).
% 0.52/1.01 thf(m__2504, axiom,
% 0.52/1.01 (( sdtlseqdt0 @ ( sdtsldt0 @ xn @ xr ) @ xn ) &
% 0.52/1.01 ( ?[W0:$i]:
% 0.52/1.01 ( ( ( sdtpldt0 @ ( sdtsldt0 @ xn @ xr ) @ W0 ) = ( xn ) ) &
% 0.52/1.01 ( aNaturalNumber0 @ W0 ) ) ) &
% 0.52/1.01 ( ( xn ) = ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) &
% 0.52/1.01 ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) &
% 0.52/1.01 ( ~( ( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) &
% 0.52/1.01 ( ( xn ) = ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) ) =>
% 0.52/1.01 ( ( sdtsldt0 @ xn @ xr ) = ( xn ) ) ) ))).
% 0.52/1.01 thf(zip_derived_cl153, plain,
% 0.52/1.01 (((xn) = (sdtasdt0 @ xr @ (sdtsldt0 @ xn @ xr)))),
% 0.52/1.01 inference('cnf', [status(esa)], [m__2504])).
% 0.52/1.01 thf(m__2645, axiom,
% 0.52/1.01 (( ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) &
% 0.52/1.01 ( ( xn ) = ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) &
% 0.52/1.01 ( ?[W0:$i]:
% 0.52/1.01 ( ( aNaturalNumber0 @ W0 ) &
% 0.52/1.01 ( ( sdtsldt0 @ xn @ xr ) = ( sdtasdt0 @ xp @ W0 ) ) ) ) &
% 0.52/1.01 ( doDivides0 @ xp @ ( sdtsldt0 @ xn @ xr ) ) ) |
% 0.52/1.01 ( ( ?[W0:$i]:
% 0.52/1.01 ( ( aNaturalNumber0 @ W0 ) & ( ( xm ) = ( sdtasdt0 @ xp @ W0 ) ) ) ) &
% 0.52/1.01 ( doDivides0 @ xp @ xm ) ))).
% 0.52/1.01 thf(zf_stmt_0, axiom,
% 0.52/1.01 (( zip_tseitin_15 ) =>
% 0.52/1.01 ( ( doDivides0 @ xp @ ( sdtsldt0 @ xn @ xr ) ) &
% 0.52/1.01 ( ?[W0:$i]: ( zip_tseitin_14 @ W0 ) ) &
% 0.52/1.01 ( ( xn ) = ( sdtasdt0 @ xr @ ( sdtsldt0 @ xn @ xr ) ) ) &
% 0.52/1.01 ( aNaturalNumber0 @ ( sdtsldt0 @ xn @ xr ) ) ))).
% 0.52/1.01 thf(zip_derived_cl168, plain,
% 0.52/1.01 (( (zip_tseitin_14 @ sk__20) | ~ (zip_tseitin_15))),
% 0.52/1.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.52/1.01 thf(zf_stmt_1, type, zip_tseitin_17 : $o).
% 0.52/1.01 thf(zf_stmt_2, axiom,
% 0.52/1.01 (( zip_tseitin_17 ) =>
% 0.52/1.01 ( ( doDivides0 @ xp @ xm ) & ( ?[W0:$i]: ( zip_tseitin_16 @ W0 ) ) ))).
% 0.52/1.01 thf(zf_stmt_3, type, zip_tseitin_16 : $i > $o).
% 0.52/1.01 thf(zf_stmt_4, axiom,
% 0.52/1.01 (![W0:$i]:
% 0.52/1.01 ( ( zip_tseitin_16 @ W0 ) =>
% 0.52/1.01 ( ( ( xm ) = ( sdtasdt0 @ xp @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ))).
% 0.52/1.01 thf(zf_stmt_5, type, zip_tseitin_15 : $o).
% 0.52/1.01 thf(zf_stmt_6, type, zip_tseitin_14 : $i > $o).
% 0.52/1.01 thf(zf_stmt_7, axiom,
% 0.52/1.01 (![W0:$i]:
% 0.52/1.01 ( ( zip_tseitin_14 @ W0 ) =>
% 0.52/1.01 ( ( ( sdtsldt0 @ xn @ xr ) = ( sdtasdt0 @ xp @ W0 ) ) &
% 0.52/1.01 ( aNaturalNumber0 @ W0 ) ) ))).
% 0.52/1.01 thf(zf_stmt_8, axiom, (( zip_tseitin_17 ) | ( zip_tseitin_15 ))).
% 0.52/1.01 thf(zip_derived_cl175, plain, (( (zip_tseitin_17) | (zip_tseitin_15))),
% 0.52/1.01 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.52/1.01 thf(zip_derived_cl173, plain,
% 0.52/1.01 (( (doDivides0 @ xp @ xm) | ~ (zip_tseitin_17))),
% 0.52/1.01 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.52/1.01 thf(m__, conjecture,
% 0.52/1.01 (( doDivides0 @ xp @ xm ) |
% 0.52/1.01 ( ?[W0:$i]:
% 0.52/1.01 ( ( ( xm ) = ( sdtasdt0 @ xp @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ) |
% 0.52/1.01 ( doDivides0 @ xp @ xn ) |
% 0.52/1.01 ( ?[W0:$i]:
% 0.52/1.01 ( ( ( xn ) = ( sdtasdt0 @ xp @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ))).
% 0.52/1.01 thf(zf_stmt_9, negated_conjecture,
% 0.52/1.01 (~( ( doDivides0 @ xp @ xm ) |
% 0.52/1.01 ( ?[W0:$i]:
% 0.52/1.01 ( ( ( xm ) = ( sdtasdt0 @ xp @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ) |
% 0.52/1.01 ( doDivides0 @ xp @ xn ) |
% 0.52/1.01 ( ?[W0:$i]:
% 0.52/1.01 ( ( ( xn ) = ( sdtasdt0 @ xp @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ) )),
% 0.52/1.01 inference('cnf.neg', [status(esa)], [m__])).
% 0.52/1.01 thf(zip_derived_cl179, plain, (~ (doDivides0 @ xp @ xm)),
% 0.52/1.01 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.52/1.01 thf(zip_derived_cl180, plain, (~ (zip_tseitin_17)),
% 0.52/1.01 inference('clc', [status(thm)], [zip_derived_cl173, zip_derived_cl179])).
% 0.52/1.01 thf(zip_derived_cl192, plain, ( (zip_tseitin_15)),
% 0.52/1.01 inference('clc', [status(thm)], [zip_derived_cl175, zip_derived_cl180])).
% 0.52/1.01 thf(zip_derived_cl262, plain, ( (zip_tseitin_14 @ sk__20)),
% 0.52/1.01 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl192])).
% 0.52/1.01 thf(zip_derived_cl165, plain,
% 0.52/1.01 (![X0 : $i]:
% 0.52/1.01 (((sdtsldt0 @ xn @ xr) = (sdtasdt0 @ xp @ X0))
% 0.52/1.01 | ~ (zip_tseitin_14 @ X0))),
% 0.52/1.01 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.52/1.01 thf(zip_derived_cl424, plain,
% 0.52/1.01 (((sdtsldt0 @ xn @ xr) = (sdtasdt0 @ xp @ sk__20))),
% 0.52/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl262, zip_derived_cl165])).
% 0.52/1.01 thf(zip_derived_cl426, plain,
% 0.52/1.01 (((xn) = (sdtasdt0 @ xr @ (sdtasdt0 @ xp @ sk__20)))),
% 0.52/1.01 inference('demod', [status(thm)], [zip_derived_cl153, zip_derived_cl424])).
% 0.52/1.01 thf(mMulComm, axiom,
% 0.52/1.01 (![W0:$i,W1:$i]:
% 0.52/1.01 ( ( ( aNaturalNumber0 @ W0 ) & ( aNaturalNumber0 @ W1 ) ) =>
% 0.52/1.01 ( ( sdtasdt0 @ W0 @ W1 ) = ( sdtasdt0 @ W1 @ W0 ) ) ))).
% 0.52/1.01 thf(zip_derived_cl10, plain,
% 0.52/1.01 (![X0 : $i, X1 : $i]:
% 0.52/1.01 (~ (aNaturalNumber0 @ X0)
% 0.52/1.01 | ~ (aNaturalNumber0 @ X1)
% 0.52/1.01 | ((sdtasdt0 @ X0 @ X1) = (sdtasdt0 @ X1 @ X0)))),
% 0.52/1.01 inference('cnf', [status(esa)], [mMulComm])).
% 0.52/1.01 thf(mMulAsso, axiom,
% 0.52/1.01 (![W0:$i,W1:$i,W2:$i]:
% 0.52/1.01 ( ( ( aNaturalNumber0 @ W0 ) & ( aNaturalNumber0 @ W1 ) &
% 0.52/1.01 ( aNaturalNumber0 @ W2 ) ) =>
% 0.52/1.01 ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 ) =
% 0.52/1.01 ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ))).
% 0.52/1.01 thf(zip_derived_cl11, plain,
% 0.52/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/1.01 (~ (aNaturalNumber0 @ X0)
% 0.52/1.01 | ~ (aNaturalNumber0 @ X1)
% 0.52/1.01 | ~ (aNaturalNumber0 @ X2)
% 0.52/1.01 | ((sdtasdt0 @ (sdtasdt0 @ X1 @ X0) @ X2)
% 0.52/1.01 = (sdtasdt0 @ X1 @ (sdtasdt0 @ X0 @ X2))))),
% 0.52/1.01 inference('cnf', [status(esa)], [mMulAsso])).
% 0.52/1.01 thf(zip_derived_cl10, plain,
% 0.52/1.01 (![X0 : $i, X1 : $i]:
% 0.52/1.01 (~ (aNaturalNumber0 @ X0)
% 0.52/1.01 | ~ (aNaturalNumber0 @ X1)
% 0.52/1.01 | ((sdtasdt0 @ X0 @ X1) = (sdtasdt0 @ X1 @ X0)))),
% 0.52/1.01 inference('cnf', [status(esa)], [mMulComm])).
% 0.52/1.01 thf(zip_derived_cl176, plain,
% 0.52/1.01 (![X0 : $i]: (((xn) != (sdtasdt0 @ xp @ X0)) | ~ (aNaturalNumber0 @ X0))),
% 0.52/1.01 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.52/1.01 thf(zip_derived_cl305, plain,
% 0.52/1.01 (![X0 : $i]:
% 0.52/1.01 (~ (aNaturalNumber0 @ xp)
% 0.52/1.01 | ~ (aNaturalNumber0 @ X0)
% 0.52/1.01 | ((xn) != (sdtasdt0 @ X0 @ xp))
% 0.52/1.01 | ~ (aNaturalNumber0 @ X0))),
% 0.52/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl176])).
% 0.52/1.01 thf(m__1837, axiom,
% 0.52/1.01 (( aNaturalNumber0 @ xp ) & ( aNaturalNumber0 @ xm ) &
% 0.52/1.01 ( aNaturalNumber0 @ xn ))).
% 0.52/1.01 thf(zip_derived_cl70, plain, ( (aNaturalNumber0 @ xp)),
% 0.52/1.01 inference('cnf', [status(esa)], [m__1837])).
% 0.52/1.01 thf(zip_derived_cl311, plain,
% 0.52/1.01 (![X0 : $i]:
% 0.52/1.01 (~ (aNaturalNumber0 @ X0)
% 0.52/1.01 | ((xn) != (sdtasdt0 @ X0 @ xp))
% 0.52/1.01 | ~ (aNaturalNumber0 @ X0))),
% 0.52/1.01 inference('demod', [status(thm)], [zip_derived_cl305, zip_derived_cl70])).
% 0.52/1.01 thf(zip_derived_cl312, plain,
% 0.52/1.01 (![X0 : $i]: (((xn) != (sdtasdt0 @ X0 @ xp)) | ~ (aNaturalNumber0 @ X0))),
% 0.52/1.01 inference('simplify', [status(thm)], [zip_derived_cl311])).
% 0.52/1.01 thf(zip_derived_cl342, plain,
% 0.52/1.01 (![X0 : $i, X1 : $i]:
% 0.52/1.01 (~ (aNaturalNumber0 @ xp)
% 0.52/1.01 | ~ (aNaturalNumber0 @ X1)
% 0.52/1.01 | ~ (aNaturalNumber0 @ X0)
% 0.52/1.01 | ((xn) != (sdtasdt0 @ X1 @ (sdtasdt0 @ X0 @ xp)))
% 0.52/1.01 | ~ (aNaturalNumber0 @ (sdtasdt0 @ X1 @ X0)))),
% 0.52/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl312])).
% 0.52/1.01 thf(zip_derived_cl70, plain, ( (aNaturalNumber0 @ xp)),
% 0.52/1.01 inference('cnf', [status(esa)], [m__1837])).
% 0.52/1.01 thf(zip_derived_cl364, plain,
% 0.52/1.01 (![X0 : $i, X1 : $i]:
% 0.52/1.01 (~ (aNaturalNumber0 @ X1)
% 0.52/1.01 | ~ (aNaturalNumber0 @ X0)
% 0.52/1.01 | ((xn) != (sdtasdt0 @ X1 @ (sdtasdt0 @ X0 @ xp)))
% 0.52/1.01 | ~ (aNaturalNumber0 @ (sdtasdt0 @ X1 @ X0)))),
% 0.52/1.01 inference('demod', [status(thm)], [zip_derived_cl342, zip_derived_cl70])).
% 0.52/1.01 thf(mSortsB_02, axiom,
% 0.52/1.01 (![W0:$i,W1:$i]:
% 0.52/1.01 ( ( ( aNaturalNumber0 @ W0 ) & ( aNaturalNumber0 @ W1 ) ) =>
% 0.52/1.01 ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ))).
% 0.52/1.01 thf(zip_derived_cl5, plain,
% 0.52/1.01 (![X0 : $i, X1 : $i]:
% 0.52/1.01 (~ (aNaturalNumber0 @ X0)
% 0.52/1.01 | ~ (aNaturalNumber0 @ X1)
% 0.52/1.01 | (aNaturalNumber0 @ (sdtasdt0 @ X0 @ X1)))),
% 0.52/1.01 inference('cnf', [status(esa)], [mSortsB_02])).
% 0.52/1.01 thf(zip_derived_cl681, plain,
% 0.52/1.01 (![X0 : $i, X1 : $i]:
% 0.52/1.01 (((xn) != (sdtasdt0 @ X1 @ (sdtasdt0 @ X0 @ xp)))
% 0.52/1.01 | ~ (aNaturalNumber0 @ X0)
% 0.52/1.01 | ~ (aNaturalNumber0 @ X1))),
% 0.52/1.01 inference('clc', [status(thm)], [zip_derived_cl364, zip_derived_cl5])).
% 0.52/1.01 thf(zip_derived_cl687, plain,
% 0.52/1.01 (![X0 : $i, X1 : $i]:
% 0.52/1.01 (~ (aNaturalNumber0 @ xp)
% 0.52/1.01 | ~ (aNaturalNumber0 @ X0)
% 0.52/1.01 | ((xn) != (sdtasdt0 @ X1 @ (sdtasdt0 @ xp @ X0)))
% 0.52/1.01 | ~ (aNaturalNumber0 @ X0)
% 0.52/1.01 | ~ (aNaturalNumber0 @ X1))),
% 0.52/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl681])).
% 0.52/1.01 thf(zip_derived_cl70, plain, ( (aNaturalNumber0 @ xp)),
% 0.52/1.01 inference('cnf', [status(esa)], [m__1837])).
% 0.52/1.01 thf(zip_derived_cl696, plain,
% 0.52/1.01 (![X0 : $i, X1 : $i]:
% 0.52/1.01 (~ (aNaturalNumber0 @ X0)
% 0.52/1.01 | ((xn) != (sdtasdt0 @ X1 @ (sdtasdt0 @ xp @ X0)))
% 0.52/1.01 | ~ (aNaturalNumber0 @ X0)
% 0.52/1.01 | ~ (aNaturalNumber0 @ X1))),
% 0.52/1.01 inference('demod', [status(thm)], [zip_derived_cl687, zip_derived_cl70])).
% 0.52/1.01 thf(zip_derived_cl697, plain,
% 0.52/1.01 (![X0 : $i, X1 : $i]:
% 0.52/1.01 (~ (aNaturalNumber0 @ X1)
% 0.52/1.01 | ((xn) != (sdtasdt0 @ X1 @ (sdtasdt0 @ xp @ X0)))
% 0.52/1.01 | ~ (aNaturalNumber0 @ X0))),
% 0.52/1.01 inference('simplify', [status(thm)], [zip_derived_cl696])).
% 0.52/1.01 thf(zip_derived_cl786, plain,
% 0.52/1.01 ((~ (aNaturalNumber0 @ xr)
% 0.52/1.01 | ((xn) != (xn))
% 0.52/1.01 | ~ (aNaturalNumber0 @ sk__20))),
% 0.52/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl426, zip_derived_cl697])).
% 0.52/1.01 thf(m__2342, axiom,
% 0.52/1.01 (( isPrime0 @ xr ) &
% 0.52/1.01 ( ![W0:$i]:
% 0.52/1.01 ( ( ( aNaturalNumber0 @ W0 ) &
% 0.52/1.01 ( ( ?[W1:$i]:
% 0.52/1.01 ( ( ( xr ) = ( sdtasdt0 @ W0 @ W1 ) ) & ( aNaturalNumber0 @ W1 ) ) ) |
% 0.52/1.01 ( doDivides0 @ W0 @ xr ) ) ) =>
% 0.52/1.01 ( ( ( W0 ) = ( sz10 ) ) | ( ( W0 ) = ( xr ) ) ) ) ) &
% 0.52/1.01 ( ( xr ) != ( sz10 ) ) & ( ( xr ) != ( sz00 ) ) &
% 0.52/1.01 ( doDivides0 @ xr @ xk ) &
% 0.52/1.01 ( ?[W0:$i]:
% 0.52/1.01 ( ( ( xk ) = ( sdtasdt0 @ xr @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ) &
% 0.52/1.01 ( aNaturalNumber0 @ xr ))).
% 0.52/1.01 thf(zip_derived_cl122, plain, ( (aNaturalNumber0 @ xr)),
% 0.52/1.01 inference('cnf', [status(esa)], [m__2342])).
% 0.52/1.01 thf(zip_derived_cl262, plain, ( (zip_tseitin_14 @ sk__20)),
% 0.52/1.01 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl192])).
% 0.52/1.01 thf(zip_derived_cl166, plain,
% 0.52/1.01 (![X0 : $i]: ( (aNaturalNumber0 @ X0) | ~ (zip_tseitin_14 @ X0))),
% 0.52/1.01 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.52/1.01 thf(zip_derived_cl263, plain, ( (aNaturalNumber0 @ sk__20)),
% 0.52/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl262, zip_derived_cl166])).
% 0.52/1.01 thf(zip_derived_cl800, plain, (((xn) != (xn))),
% 0.52/1.01 inference('demod', [status(thm)],
% 0.52/1.01 [zip_derived_cl786, zip_derived_cl122, zip_derived_cl263])).
% 0.52/1.01 thf(zip_derived_cl801, plain, ($false),
% 0.52/1.01 inference('simplify', [status(thm)], [zip_derived_cl800])).
% 0.52/1.01
% 0.52/1.01 % SZS output end Refutation
% 0.52/1.01
% 0.52/1.01
% 0.52/1.01 % Terminating...
% 0.52/1.05 % Runner terminated.
% 1.67/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------