%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM508+3 : 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.L2EZ5klAuP true
% Computer : n008.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 04:47:15 PM UTC 2025
% Result : Theorem 150.79s 22.16s
% Output : Refutation 150.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : NUM508+3 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.L2EZ5klAuP true
% 0.13/0.36 % Computer : n008.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 16:18:53 EDT 2025
% 0.13/0.37 % CPUTime :
% 0.13/0.37 % Running portfolio for 300 s
% 0.13/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 % Number of cores: 8
% 0.13/0.37 % Python version: Python 3.6.8
% 0.13/0.37 % Running in FO mode
% 0.52/0.65 % Total configuration time : 435
% 0.52/0.65 % Estimated wc time : 1092
% 0.52/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 150.79/22.16 % Solved by fo/fo3_bce.sh.
% 150.79/22.16 % BCE start: 148
% 150.79/22.16 % BCE eliminated: 1
% 150.79/22.16 % PE start: 147
% 150.79/22.16 logic: eq
% 150.79/22.16 % PE eliminated: -11
% 150.79/22.16 % done 9152 iterations in 21.409s
% 150.79/22.16 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 150.79/22.16 % SZS output start Refutation
% 150.79/22.16 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $o).
% 150.79/22.16 thf(aNaturalNumber0_type, type, aNaturalNumber0: $i > $o).
% 150.79/22.16 thf(zip_tseitin_9_type, type, zip_tseitin_9: $i > $i > $o).
% 150.79/22.16 thf(sk__15_type, type, sk__15: $i).
% 150.79/22.16 thf(xp_type, type, xp: $i).
% 150.79/22.16 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o).
% 150.79/22.16 thf(sz10_type, type, sz10: $i).
% 150.79/22.16 thf(sdtpldt0_type, type, sdtpldt0: $i > $i > $i).
% 150.79/22.16 thf(sdtasdt0_type, type, sdtasdt0: $i > $i > $i).
% 150.79/22.16 thf(isPrime0_type, type, isPrime0: $i > $o).
% 150.79/22.16 thf(sz00_type, type, sz00: $i).
% 150.79/22.16 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $o).
% 150.79/22.16 thf(doDivides0_type, type, doDivides0: $i > $i > $o).
% 150.79/22.16 thf(iLess0_type, type, iLess0: $i > $i > $o).
% 150.79/22.16 thf(xn_type, type, xn: $i).
% 150.79/22.16 thf(sdtlseqdt0_type, type, sdtlseqdt0: $i > $i > $o).
% 150.79/22.16 thf(xm_type, type, xm: $i).
% 150.79/22.16 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $o).
% 150.79/22.16 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 150.79/22.16 thf(sk__12_type, type, sk__12: $i).
% 150.79/22.16 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $i > $o).
% 150.79/22.16 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 150.79/22.16 thf(xk_type, type, xk: $i).
% 150.79/22.16 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 150.79/22.16 thf(xr_type, type, xr: $i).
% 150.79/22.16 thf(zip_tseitin_8_type, type, zip_tseitin_8: $i > $i > $i > $o).
% 150.79/22.16 thf(mSortsB, axiom,
% 150.79/22.16 (![W0:$i,W1:$i]:
% 150.79/22.16 ( ( ( aNaturalNumber0 @ W0 ) & ( aNaturalNumber0 @ W1 ) ) =>
% 150.79/22.16 ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ))).
% 150.79/22.16 thf(zip_derived_cl4, plain,
% 150.79/22.16 (![X0 : $i, X1 : $i]:
% 150.79/22.16 (~ (aNaturalNumber0 @ X0)
% 150.79/22.16 | ~ (aNaturalNumber0 @ X1)
% 150.79/22.16 | (aNaturalNumber0 @ (sdtpldt0 @ X0 @ X1)))),
% 150.79/22.16 inference('cnf', [status(esa)], [mSortsB])).
% 150.79/22.16 thf(zip_derived_cl4, plain,
% 150.79/22.16 (![X0 : $i, X1 : $i]:
% 150.79/22.16 (~ (aNaturalNumber0 @ X0)
% 150.79/22.16 | ~ (aNaturalNumber0 @ X1)
% 150.79/22.16 | (aNaturalNumber0 @ (sdtpldt0 @ X0 @ X1)))),
% 150.79/22.16 inference('cnf', [status(esa)], [mSortsB])).
% 150.79/22.16 thf(m__2362, axiom,
% 150.79/22.16 (( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) &
% 150.79/22.16 ( ?[W0:$i]:
% 150.79/22.16 ( ( ( sdtasdt0 @ xn @ xm ) = ( sdtasdt0 @ xr @ W0 ) ) &
% 150.79/22.16 ( aNaturalNumber0 @ W0 ) ) ) &
% 150.79/22.16 ( ?[W0:$i]:
% 150.79/22.16 ( ( ( sdtpldt0 @ xr @ W0 ) = ( xk ) ) & ( aNaturalNumber0 @ W0 ) ) ))).
% 150.79/22.16 thf(zip_derived_cl133, plain,
% 150.79/22.16 (((sdtasdt0 @ xn @ xm) = (sdtasdt0 @ xr @ sk__12))),
% 150.79/22.16 inference('cnf', [status(esa)], [m__2362])).
% 150.79/22.16 thf(m__2478, axiom,
% 150.79/22.16 (( sdtlseqdt0 @
% 150.79/22.16 ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @
% 150.79/22.16 ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) &
% 150.79/22.16 ( ?[W0:$i]:
% 150.79/22.16 ( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) @ W0 ) =
% 150.79/22.16 ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) &
% 150.79/22.16 ( aNaturalNumber0 @ W0 ) ) ) &
% 150.79/22.16 ( ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xr ) !=
% 150.79/22.16 ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ))).
% 150.79/22.16 thf(zip_derived_cl143, plain,
% 150.79/22.16 ( (sdtlseqdt0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xr) @
% 150.79/22.16 (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))),
% 150.79/22.16 inference('cnf', [status(esa)], [m__2478])).
% 150.79/22.16 thf(m__1799, axiom,
% 150.79/22.16 (![W0:$i,W1:$i,W2:$i]:
% 150.79/22.16 ( ( ( aNaturalNumber0 @ W2 ) & ( aNaturalNumber0 @ W1 ) &
% 150.79/22.16 ( aNaturalNumber0 @ W0 ) ) =>
% 150.79/22.16 ( ( ( ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) ) |
% 150.79/22.16 ( ?[W3:$i]:
% 150.79/22.16 ( ( aNaturalNumber0 @ W3 ) &
% 150.79/22.16 ( ( sdtasdt0 @ W0 @ W1 ) = ( sdtasdt0 @ W2 @ W3 ) ) ) ) ) &
% 150.79/22.16 ( ( isPrime0 @ W2 ) |
% 150.79/22.16 ( ( ![W3:$i]:
% 150.79/22.16 ( ( ( doDivides0 @ W3 @ W2 ) &
% 150.79/22.16 ( ?[W4:$i]:
% 150.79/22.16 ( ( aNaturalNumber0 @ W4 ) &
% 150.79/22.16 ( ( W2 ) = ( sdtasdt0 @ W3 @ W4 ) ) ) ) &
% 150.79/22.16 ( aNaturalNumber0 @ W3 ) ) =>
% 150.79/22.16 ( ( ( W3 ) = ( W2 ) ) | ( ( W3 ) = ( sz10 ) ) ) ) ) &
% 150.79/22.16 ( ( W2 ) != ( sz10 ) ) & ( ( W2 ) != ( sz00 ) ) ) ) ) =>
% 150.79/22.16 ( ( iLess0 @
% 150.79/22.16 ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @
% 150.79/22.16 ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) =>
% 150.79/22.16 ( ( ( doDivides0 @ W2 @ W1 ) &
% 150.79/22.16 ( ?[W3:$i]:
% 150.79/22.16 ( ( aNaturalNumber0 @ W3 ) &
% 150.79/22.16 ( ( W1 ) = ( sdtasdt0 @ W2 @ W3 ) ) ) ) ) |
% 150.79/22.16 ( ( doDivides0 @ W2 @ W0 ) &
% 150.79/22.16 ( ?[W3:$i]:
% 150.79/22.16 ( ( aNaturalNumber0 @ W3 ) &
% 150.79/22.16 ( ( W0 ) = ( sdtasdt0 @ W2 @ W3 ) ) ) ) ) ) ) ) ))).
% 150.79/22.16 thf(zf_stmt_0, axiom,
% 150.79/22.16 (![W2:$i,W1:$i,W0:$i]:
% 150.79/22.16 ( ( ( ?[W3:$i]:
% 150.79/22.16 ( ( ( sdtasdt0 @ W0 @ W1 ) = ( sdtasdt0 @ W2 @ W3 ) ) &
% 150.79/22.16 ( aNaturalNumber0 @ W3 ) ) ) |
% 150.79/22.16 ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) ) ) =>
% 150.79/22.16 ( zip_tseitin_0 @ W2 @ W1 @ W0 ) ))).
% 150.79/22.16 thf(zip_derived_cl73, plain,
% 150.79/22.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 150.79/22.16 ( (zip_tseitin_0 @ X0 @ X1 @ X2)
% 150.79/22.16 | ((sdtasdt0 @ X2 @ X1) != (sdtasdt0 @ X0 @ X3))
% 150.79/22.16 | ~ (aNaturalNumber0 @ X3))),
% 150.79/22.16 inference('cnf', [status(esa)], [zf_stmt_0])).
% 150.79/22.16 thf(mIH_03, axiom,
% 150.79/22.16 (![W0:$i,W1:$i]:
% 150.79/22.16 ( ( ( aNaturalNumber0 @ W0 ) & ( aNaturalNumber0 @ W1 ) ) =>
% 150.79/22.16 ( ( ( ( W0 ) != ( W1 ) ) & ( sdtlseqdt0 @ W0 @ W1 ) ) =>
% 150.79/22.16 ( iLess0 @ W0 @ W1 ) ) ))).
% 150.79/22.16 thf(zip_derived_cl48, plain,
% 150.79/22.16 (![X0 : $i, X1 : $i]:
% 150.79/22.16 (~ (aNaturalNumber0 @ X0)
% 150.79/22.16 | ~ (aNaturalNumber0 @ X1)
% 150.79/22.16 | (iLess0 @ X0 @ X1)
% 150.79/22.16 | ~ (sdtlseqdt0 @ X0 @ X1)
% 150.79/22.16 | ((X0) = (X1)))),
% 150.79/22.16 inference('cnf', [status(esa)], [mIH_03])).
% 150.79/22.16 thf(zf_stmt_1, type, zip_tseitin_9 : $i > $i > $o).
% 150.79/22.16 thf(zf_stmt_2, axiom,
% 150.79/22.16 (![W2:$i,W0:$i]:
% 150.79/22.16 ( ( zip_tseitin_9 @ W2 @ W0 ) =>
% 150.79/22.16 ( ( ?[W3:$i]: ( zip_tseitin_8 @ W3 @ W2 @ W0 ) ) &
% 150.79/22.16 ( doDivides0 @ W2 @ W0 ) ) ))).
% 150.79/22.16 thf(zf_stmt_3, type, zip_tseitin_8 : $i > $i > $i > $o).
% 150.79/22.16 thf(zf_stmt_4, axiom,
% 150.79/22.16 (![W3:$i,W2:$i,W0:$i]:
% 150.79/22.16 ( ( zip_tseitin_8 @ W3 @ W2 @ W0 ) =>
% 150.79/22.16 ( ( ( W0 ) = ( sdtasdt0 @ W2 @ W3 ) ) & ( aNaturalNumber0 @ W3 ) ) ))).
% 150.79/22.16 thf(zf_stmt_5, type, zip_tseitin_7 : $i > $i > $o).
% 150.79/22.16 thf(zf_stmt_6, axiom,
% 150.79/22.16 (![W2:$i,W1:$i]:
% 150.79/22.16 ( ( zip_tseitin_7 @ W2 @ W1 ) =>
% 150.79/22.16 ( ( ?[W3:$i]: ( zip_tseitin_6 @ W3 @ W2 @ W1 ) ) &
% 150.79/22.16 ( doDivides0 @ W2 @ W1 ) ) ))).
% 150.79/22.16 thf(zf_stmt_7, type, zip_tseitin_6 : $i > $i > $i > $o).
% 150.79/22.16 thf(zf_stmt_8, axiom,
% 150.79/22.16 (![W3:$i,W2:$i,W1:$i]:
% 150.79/22.16 ( ( zip_tseitin_6 @ W3 @ W2 @ W1 ) =>
% 150.79/22.16 ( ( ( W1 ) = ( sdtasdt0 @ W2 @ W3 ) ) & ( aNaturalNumber0 @ W3 ) ) ))).
% 150.79/22.16 thf(zf_stmt_9, type, zip_tseitin_5 : $i > $o).
% 150.79/22.16 thf(zf_stmt_10, axiom,
% 150.79/22.16 (![W2:$i]:
% 150.79/22.16 ( ( ( ( ( W2 ) != ( sz00 ) ) & ( ( W2 ) != ( sz10 ) ) &
% 150.79/22.16 ( ![W3:$i]: ( zip_tseitin_4 @ W3 @ W2 ) ) ) |
% 150.79/22.16 ( isPrime0 @ W2 ) ) =>
% 150.79/22.16 ( zip_tseitin_5 @ W2 ) ))).
% 150.79/22.16 thf(zf_stmt_11, type, zip_tseitin_4 : $i > $i > $o).
% 150.79/22.16 thf(zf_stmt_12, axiom,
% 150.79/22.16 (![W3:$i,W2:$i]:
% 150.79/22.16 ( ( ( zip_tseitin_2 @ W3 @ W2 ) => ( zip_tseitin_3 @ W3 @ W2 ) ) =>
% 150.79/22.16 ( zip_tseitin_4 @ W3 @ W2 ) ))).
% 150.79/22.16 thf(zf_stmt_13, type, zip_tseitin_3 : $i > $i > $o).
% 150.79/22.16 thf(zf_stmt_14, axiom,
% 150.79/22.16 (![W3:$i,W2:$i]:
% 150.79/22.16 ( ( ( ( W3 ) = ( sz10 ) ) | ( ( W3 ) = ( W2 ) ) ) =>
% 150.79/22.16 ( zip_tseitin_3 @ W3 @ W2 ) ))).
% 150.79/22.16 thf(zf_stmt_15, type, zip_tseitin_2 : $i > $i > $o).
% 150.79/22.16 thf(zf_stmt_16, axiom,
% 150.79/22.16 (![W3:$i,W2:$i]:
% 150.79/22.16 ( ( zip_tseitin_2 @ W3 @ W2 ) =>
% 150.79/22.16 ( ( aNaturalNumber0 @ W3 ) &
% 150.79/22.16 ( ?[W4:$i]: ( zip_tseitin_1 @ W4 @ W3 @ W2 ) ) &
% 150.79/22.16 ( doDivides0 @ W3 @ W2 ) ) ))).
% 150.79/22.16 thf(zf_stmt_17, type, zip_tseitin_1 : $i > $i > $i > $o).
% 150.79/22.16 thf(zf_stmt_18, axiom,
% 150.79/22.16 (![W4:$i,W3:$i,W2:$i]:
% 150.79/22.16 ( ( zip_tseitin_1 @ W4 @ W3 @ W2 ) =>
% 150.79/22.16 ( ( ( W2 ) = ( sdtasdt0 @ W3 @ W4 ) ) & ( aNaturalNumber0 @ W4 ) ) ))).
% 150.79/22.16 thf(zf_stmt_19, type, zip_tseitin_0 : $i > $i > $i > $o).
% 150.79/22.16 thf(zf_stmt_20, axiom,
% 150.79/22.16 (![W0:$i,W1:$i,W2:$i]:
% 150.79/22.16 ( ( ( aNaturalNumber0 @ W0 ) & ( aNaturalNumber0 @ W1 ) &
% 150.79/22.16 ( aNaturalNumber0 @ W2 ) ) =>
% 150.79/22.16 ( ( ( zip_tseitin_5 @ W2 ) & ( zip_tseitin_0 @ W2 @ W1 @ W0 ) ) =>
% 150.79/22.16 ( ( iLess0 @
% 150.79/22.16 ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @
% 150.79/22.16 ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) =>
% 150.79/22.16 ( ( zip_tseitin_9 @ W2 @ W0 ) | ( zip_tseitin_7 @ W2 @ W1 ) ) ) ) ))).
% 150.79/22.16 thf(zip_derived_cl94, plain,
% 150.79/22.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 150.79/22.16 (~ (aNaturalNumber0 @ X0)
% 150.79/22.16 | ~ (aNaturalNumber0 @ X1)
% 150.79/22.16 | ~ (aNaturalNumber0 @ X2)
% 150.79/22.16 | ~ (iLess0 @ (sdtpldt0 @ (sdtpldt0 @ X1 @ X0) @ X2) @
% 150.79/22.16 (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.16 | (zip_tseitin_9 @ X2 @ X1)
% 150.79/22.16 | (zip_tseitin_7 @ X2 @ X0)
% 150.79/22.16 | ~ (zip_tseitin_0 @ X2 @ X0 @ X1)
% 150.79/22.16 | ~ (zip_tseitin_5 @ X2))),
% 150.79/22.16 inference('cnf', [status(esa)], [zf_stmt_20])).
% 150.79/22.16 thf(zip_derived_cl860, plain,
% 150.79/22.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 150.79/22.16 (((sdtpldt0 @ (sdtpldt0 @ X2 @ X1) @ X0)
% 150.79/22.16 = (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.16 | ~ (sdtlseqdt0 @ (sdtpldt0 @ (sdtpldt0 @ X2 @ X1) @ X0) @
% 150.79/22.16 (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.16 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.16 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ X2 @ X1) @ X0))
% 150.79/22.16 | ~ (zip_tseitin_5 @ X0)
% 150.79/22.16 | ~ (zip_tseitin_0 @ X0 @ X1 @ X2)
% 150.79/22.16 | (zip_tseitin_7 @ X0 @ X1)
% 150.79/22.16 | (zip_tseitin_9 @ X0 @ X2)
% 150.79/22.16 | ~ (aNaturalNumber0 @ X0)
% 150.79/22.16 | ~ (aNaturalNumber0 @ X2)
% 150.79/22.16 | ~ (aNaturalNumber0 @ X1))),
% 150.79/22.16 inference('dp-resolution', [status(thm)],
% 150.79/22.16 [zip_derived_cl48, zip_derived_cl94])).
% 150.79/22.16 thf(zip_derived_cl869, plain,
% 150.79/22.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 150.79/22.16 (~ (aNaturalNumber0 @ X3)
% 150.79/22.16 | ((sdtasdt0 @ X0 @ X1) != (sdtasdt0 @ X2 @ X3))
% 150.79/22.16 | ~ (aNaturalNumber0 @ X1)
% 150.79/22.16 | ~ (aNaturalNumber0 @ X0)
% 150.79/22.16 | ~ (aNaturalNumber0 @ X2)
% 150.79/22.16 | (zip_tseitin_9 @ X2 @ X0)
% 150.79/22.16 | (zip_tseitin_7 @ X2 @ X1)
% 150.79/22.16 | ~ (zip_tseitin_5 @ X2)
% 150.79/22.16 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ X0 @ X1) @ X2))
% 150.79/22.16 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.16 | ~ (sdtlseqdt0 @ (sdtpldt0 @ (sdtpldt0 @ X0 @ X1) @ X2) @
% 150.79/22.16 (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.16 | ((sdtpldt0 @ (sdtpldt0 @ X0 @ X1) @ X2)
% 150.79/22.16 = (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp)))),
% 150.79/22.16 inference('dp-resolution', [status(thm)],
% 150.79/22.16 [zip_derived_cl73, zip_derived_cl860])).
% 150.79/22.16 thf(zip_derived_cl89, plain,
% 150.79/22.16 (![X0 : $i, X1 : $i]:
% 150.79/22.16 ( (doDivides0 @ X0 @ X1) | ~ (zip_tseitin_7 @ X0 @ X1))),
% 150.79/22.16 inference('cnf', [status(esa)], [zf_stmt_6])).
% 150.79/22.16 thf(zip_derived_cl878, plain,
% 150.79/22.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 150.79/22.16 (((sdtpldt0 @ (sdtpldt0 @ X2 @ X1) @ X3)
% 150.79/22.16 = (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.16 | ~ (sdtlseqdt0 @ (sdtpldt0 @ (sdtpldt0 @ X2 @ X1) @ X3) @
% 150.79/22.16 (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.16 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.16 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ X2 @ X1) @ X3))
% 150.79/22.16 | ~ (zip_tseitin_5 @ X3)
% 150.79/22.16 | (zip_tseitin_9 @ X3 @ X2)
% 150.79/22.16 | ~ (aNaturalNumber0 @ X3)
% 150.79/22.16 | ~ (aNaturalNumber0 @ X2)
% 150.79/22.16 | ~ (aNaturalNumber0 @ X1)
% 150.79/22.16 | ((sdtasdt0 @ X2 @ X1) != (sdtasdt0 @ X3 @ X0))
% 150.79/22.16 | ~ (aNaturalNumber0 @ X0)
% 150.79/22.16 | (doDivides0 @ X3 @ X1))),
% 150.79/22.16 inference('dp-resolution', [status(thm)],
% 150.79/22.16 [zip_derived_cl869, zip_derived_cl89])).
% 150.79/22.16 thf(zip_derived_cl93, plain,
% 150.79/22.16 (![X0 : $i, X1 : $i]:
% 150.79/22.16 ( (doDivides0 @ X0 @ X1) | ~ (zip_tseitin_9 @ X0 @ X1))),
% 150.79/22.16 inference('cnf', [status(esa)], [zf_stmt_2])).
% 150.79/22.16 thf(zip_derived_cl884, plain,
% 150.79/22.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 150.79/22.17 ( (doDivides0 @ X0 @ X1)
% 150.79/22.17 | ~ (aNaturalNumber0 @ X3)
% 150.79/22.17 | ((sdtasdt0 @ X2 @ X1) != (sdtasdt0 @ X0 @ X3))
% 150.79/22.17 | ~ (aNaturalNumber0 @ X1)
% 150.79/22.17 | ~ (aNaturalNumber0 @ X2)
% 150.79/22.17 | ~ (aNaturalNumber0 @ X0)
% 150.79/22.17 | ~ (zip_tseitin_5 @ X0)
% 150.79/22.17 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ X2 @ X1) @ X0))
% 150.79/22.17 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.17 | ~ (sdtlseqdt0 @ (sdtpldt0 @ (sdtpldt0 @ X2 @ X1) @ X0) @
% 150.79/22.17 (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.17 | ((sdtpldt0 @ (sdtpldt0 @ X2 @ X1) @ X0)
% 150.79/22.17 = (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.17 | (doDivides0 @ X0 @ X2))),
% 150.79/22.17 inference('dp-resolution', [status(thm)],
% 150.79/22.17 [zip_derived_cl878, zip_derived_cl93])).
% 150.79/22.17 thf(zip_derived_cl4325, plain,
% 150.79/22.17 (![X0 : $i]:
% 150.79/22.17 ( (doDivides0 @ xr @ xn)
% 150.79/22.17 | ((sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xr)
% 150.79/22.17 = (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.17 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.17 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xr))
% 150.79/22.17 | ~ (zip_tseitin_5 @ xr)
% 150.79/22.17 | ~ (aNaturalNumber0 @ xr)
% 150.79/22.17 | ~ (aNaturalNumber0 @ xn)
% 150.79/22.17 | ~ (aNaturalNumber0 @ xm)
% 150.79/22.17 | ((sdtasdt0 @ xn @ xm) != (sdtasdt0 @ xr @ X0))
% 150.79/22.17 | ~ (aNaturalNumber0 @ X0)
% 150.79/22.17 | (doDivides0 @ xr @ xm))),
% 150.79/22.17 inference('sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl884])).
% 150.79/22.17 thf(m__, conjecture,
% 150.79/22.17 (( doDivides0 @ xr @ xm ) |
% 150.79/22.17 ( ?[W0:$i]:
% 150.79/22.17 ( ( ( xm ) = ( sdtasdt0 @ xr @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ) |
% 150.79/22.17 ( doDivides0 @ xr @ xn ) |
% 150.79/22.17 ( ?[W0:$i]:
% 150.79/22.17 ( ( ( xn ) = ( sdtasdt0 @ xr @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ))).
% 150.79/22.17 thf(zf_stmt_21, negated_conjecture,
% 150.79/22.17 (~( ( doDivides0 @ xr @ xm ) |
% 150.79/22.17 ( ?[W0:$i]:
% 150.79/22.17 ( ( ( xm ) = ( sdtasdt0 @ xr @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ) |
% 150.79/22.17 ( doDivides0 @ xr @ xn ) |
% 150.79/22.17 ( ?[W0:$i]:
% 150.79/22.17 ( ( ( xn ) = ( sdtasdt0 @ xr @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ) )),
% 150.79/22.17 inference('cnf.neg', [status(esa)], [m__])).
% 150.79/22.17 thf(zip_derived_cl145, plain, (~ (doDivides0 @ xr @ xn)),
% 150.79/22.17 inference('cnf', [status(esa)], [zf_stmt_21])).
% 150.79/22.17 thf(m__2342, axiom,
% 150.79/22.17 (( isPrime0 @ xr ) &
% 150.79/22.17 ( ![W0:$i]:
% 150.79/22.17 ( ( ( aNaturalNumber0 @ W0 ) &
% 150.79/22.17 ( ( ?[W1:$i]:
% 150.79/22.17 ( ( ( xr ) = ( sdtasdt0 @ W0 @ W1 ) ) & ( aNaturalNumber0 @ W1 ) ) ) |
% 150.79/22.17 ( doDivides0 @ W0 @ xr ) ) ) =>
% 150.79/22.17 ( ( ( W0 ) = ( sz10 ) ) | ( ( W0 ) = ( xr ) ) ) ) ) &
% 150.79/22.17 ( ( xr ) != ( sz10 ) ) & ( ( xr ) != ( sz00 ) ) &
% 150.79/22.17 ( doDivides0 @ xr @ xk ) &
% 150.79/22.17 ( ?[W0:$i]:
% 150.79/22.17 ( ( ( xk ) = ( sdtasdt0 @ xr @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ) &
% 150.79/22.17 ( aNaturalNumber0 @ xr ))).
% 150.79/22.17 thf(zip_derived_cl130, plain, ( (isPrime0 @ xr)),
% 150.79/22.17 inference('cnf', [status(esa)], [m__2342])).
% 150.79/22.17 thf(zip_derived_cl85, plain,
% 150.79/22.17 (![X0 : $i]: ( (zip_tseitin_5 @ X0) | ~ (isPrime0 @ X0))),
% 150.79/22.17 inference('cnf', [status(esa)], [zf_stmt_10])).
% 150.79/22.17 thf(zip_derived_cl929, plain, ( (zip_tseitin_5 @ xr)),
% 150.79/22.17 inference('dp-resolution', [status(thm)],
% 150.79/22.17 [zip_derived_cl130, zip_derived_cl85])).
% 150.79/22.17 thf(zip_derived_cl122, plain, ( (aNaturalNumber0 @ xr)),
% 150.79/22.17 inference('cnf', [status(esa)], [m__2342])).
% 150.79/22.17 thf(m__1837, axiom,
% 150.79/22.17 (( aNaturalNumber0 @ xp ) & ( aNaturalNumber0 @ xm ) &
% 150.79/22.17 ( aNaturalNumber0 @ xn ))).
% 150.79/22.17 thf(zip_derived_cl72, plain, ( (aNaturalNumber0 @ xn)),
% 150.79/22.17 inference('cnf', [status(esa)], [m__1837])).
% 150.79/22.17 thf(zip_derived_cl71, plain, ( (aNaturalNumber0 @ xm)),
% 150.79/22.17 inference('cnf', [status(esa)], [m__1837])).
% 150.79/22.17 thf(zip_derived_cl4352, plain,
% 150.79/22.17 (![X0 : $i]:
% 150.79/22.17 (((sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xr)
% 150.79/22.17 = (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.17 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.17 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xr))
% 150.79/22.17 | ((sdtasdt0 @ xn @ xm) != (sdtasdt0 @ xr @ X0))
% 150.79/22.17 | ~ (aNaturalNumber0 @ X0)
% 150.79/22.17 | (doDivides0 @ xr @ xm))),
% 150.79/22.17 inference('demod', [status(thm)],
% 150.79/22.17 [zip_derived_cl4325, zip_derived_cl145, zip_derived_cl929,
% 150.79/22.17 zip_derived_cl122, zip_derived_cl72, zip_derived_cl71])).
% 150.79/22.17 thf(zip_derived_cl140, plain,
% 150.79/22.17 (((sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xr)
% 150.79/22.17 != (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))),
% 150.79/22.17 inference('cnf', [status(esa)], [m__2478])).
% 150.79/22.17 thf(zip_derived_cl4353, plain,
% 150.79/22.17 (![X0 : $i]:
% 150.79/22.17 (~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.17 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xr))
% 150.79/22.17 | ((sdtasdt0 @ xn @ xm) != (sdtasdt0 @ xr @ X0))
% 150.79/22.17 | ~ (aNaturalNumber0 @ X0)
% 150.79/22.17 | (doDivides0 @ xr @ xm))),
% 150.79/22.17 inference('simplify_reflect-', [status(thm)],
% 150.79/22.17 [zip_derived_cl4352, zip_derived_cl140])).
% 150.79/22.17 thf(zip_derived_cl141, plain,
% 150.79/22.17 (((sdtpldt0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xr) @ sk__15)
% 150.79/22.17 = (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))),
% 150.79/22.17 inference('cnf', [status(esa)], [m__2478])).
% 150.79/22.17 thf(zip_derived_cl4, plain,
% 150.79/22.17 (![X0 : $i, X1 : $i]:
% 150.79/22.17 (~ (aNaturalNumber0 @ X0)
% 150.79/22.17 | ~ (aNaturalNumber0 @ X1)
% 150.79/22.17 | (aNaturalNumber0 @ (sdtpldt0 @ X0 @ X1)))),
% 150.79/22.17 inference('cnf', [status(esa)], [mSortsB])).
% 150.79/22.17 thf(zip_derived_cl3894, plain,
% 150.79/22.17 (( (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.17 | ~ (aNaturalNumber0 @ sk__15)
% 150.79/22.17 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xr)))),
% 150.79/22.17 inference('sup+', [status(thm)], [zip_derived_cl141, zip_derived_cl4])).
% 150.79/22.17 thf(zip_derived_cl142, plain, ( (aNaturalNumber0 @ sk__15)),
% 150.79/22.17 inference('cnf', [status(esa)], [m__2478])).
% 150.79/22.17 thf(zip_derived_cl3921, plain,
% 150.79/22.17 (( (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xp))
% 150.79/22.17 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xr)))),
% 150.79/22.17 inference('demod', [status(thm)], [zip_derived_cl3894, zip_derived_cl142])).
% 150.79/22.17 thf(zip_derived_cl141627, plain,
% 150.79/22.17 (![X0 : $i]:
% 150.79/22.17 ( (doDivides0 @ xr @ xm)
% 150.79/22.17 | ~ (aNaturalNumber0 @ X0)
% 150.79/22.17 | ((sdtasdt0 @ xn @ xm) != (sdtasdt0 @ xr @ X0))
% 150.79/22.17 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xr)))),
% 150.79/22.17 inference('clc', [status(thm)], [zip_derived_cl4353, zip_derived_cl3921])).
% 150.79/22.17 thf(zip_derived_cl147, plain, (~ (doDivides0 @ xr @ xm)),
% 150.79/22.17 inference('cnf', [status(esa)], [zf_stmt_21])).
% 150.79/22.17 thf(zip_derived_cl141628, plain,
% 150.79/22.17 (![X0 : $i]:
% 150.79/22.17 (~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xr))
% 150.79/22.17 | ((sdtasdt0 @ xn @ xm) != (sdtasdt0 @ xr @ X0))
% 150.79/22.17 | ~ (aNaturalNumber0 @ X0))),
% 150.79/22.17 inference('clc', [status(thm)], [zip_derived_cl141627, zip_derived_cl147])).
% 150.79/22.17 thf(zip_derived_cl141660, plain,
% 150.79/22.17 ((((sdtasdt0 @ xn @ xm) != (sdtasdt0 @ xn @ xm))
% 150.79/22.17 | ~ (aNaturalNumber0 @ sk__12)
% 150.79/22.17 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xr)))),
% 150.79/22.17 inference('sup-', [status(thm)],
% 150.79/22.17 [zip_derived_cl133, zip_derived_cl141628])).
% 150.79/22.17 thf(zip_derived_cl134, plain, ( (aNaturalNumber0 @ sk__12)),
% 150.79/22.17 inference('cnf', [status(esa)], [m__2362])).
% 150.79/22.17 thf(zip_derived_cl141694, plain,
% 150.79/22.17 ((((sdtasdt0 @ xn @ xm) != (sdtasdt0 @ xn @ xm))
% 150.79/22.17 | ~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xr)))),
% 150.79/22.17 inference('demod', [status(thm)],
% 150.79/22.17 [zip_derived_cl141660, zip_derived_cl134])).
% 150.79/22.17 thf(zip_derived_cl141695, plain,
% 150.79/22.17 (~ (aNaturalNumber0 @ (sdtpldt0 @ (sdtpldt0 @ xn @ xm) @ xr))),
% 150.79/22.17 inference('simplify', [status(thm)], [zip_derived_cl141694])).
% 150.79/22.17 thf(zip_derived_cl144484, plain,
% 150.79/22.17 ((~ (aNaturalNumber0 @ xr) | ~ (aNaturalNumber0 @ (sdtpldt0 @ xn @ xm)))),
% 150.79/22.17 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl141695])).
% 150.79/22.17 thf(zip_derived_cl122, plain, ( (aNaturalNumber0 @ xr)),
% 150.79/22.17 inference('cnf', [status(esa)], [m__2342])).
% 150.79/22.17 thf(zip_derived_cl144491, plain,
% 150.79/22.17 (~ (aNaturalNumber0 @ (sdtpldt0 @ xn @ xm))),
% 150.79/22.17 inference('demod', [status(thm)],
% 150.79/22.17 [zip_derived_cl144484, zip_derived_cl122])).
% 150.79/22.17 thf(zip_derived_cl144522, plain,
% 150.79/22.17 ((~ (aNaturalNumber0 @ xm) | ~ (aNaturalNumber0 @ xn))),
% 150.79/22.17 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl144491])).
% 150.79/22.17 thf(zip_derived_cl71, plain, ( (aNaturalNumber0 @ xm)),
% 150.79/22.17 inference('cnf', [status(esa)], [m__1837])).
% 150.79/22.17 thf(zip_derived_cl72, plain, ( (aNaturalNumber0 @ xn)),
% 150.79/22.17 inference('cnf', [status(esa)], [m__1837])).
% 150.79/22.17 thf(zip_derived_cl144525, plain, ($false),
% 150.79/22.17 inference('demod', [status(thm)],
% 150.79/22.17 [zip_derived_cl144522, zip_derived_cl71, zip_derived_cl72])).
% 150.79/22.17
% 150.79/22.17 % SZS output end Refutation
% 150.79/22.17
% 150.79/22.17
% 150.79/22.17 % Terminating...
% 151.07/22.21 % Runner terminated.
% 151.07/22.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------