%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM448+5 : 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.gRP3NresUn 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 04:47:00 PM UTC 2025
% Result : Theorem 10.13s 2.04s
% Output : Refutation 10.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM448+5 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gRP3NresUn true
% 0.16/0.36 % Computer : n008.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Oct 1 16:45:53 EDT 2025
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % Running portfolio for 300 s
% 0.16/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.36 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in FO mode
% 0.58/0.66 % Total configuration time : 435
% 0.58/0.66 % Estimated wc time : 1092
% 0.58/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.13/2.04 % Solved by fo/fo3_bce.sh.
% 10.13/2.04 % BCE start: 174
% 10.13/2.04 % BCE eliminated: 3
% 10.13/2.04 % PE start: 171
% 10.13/2.04 logic: eq
% 10.13/2.04 % PE eliminated: -14
% 10.13/2.04 % done 1136 iterations in 1.270s
% 10.13/2.04 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.13/2.04 % SZS output start Refutation
% 10.13/2.04 thf(smndt0_type, type, smndt0: $i > $i).
% 10.13/2.04 thf(sdtasdt0_type, type, sdtasdt0: $i > $i > $i).
% 10.13/2.04 thf(aInteger0_type, type, aInteger0: $i > $o).
% 10.13/2.04 thf(cS2076_type, type, cS2076: $i).
% 10.13/2.04 thf(sz10_type, type, sz10: $i).
% 10.13/2.04 thf(xS_type, type, xS: $i).
% 10.13/2.04 thf(sk__1_type, type, sk__1: $i > $i).
% 10.13/2.04 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $i > $o).
% 10.13/2.04 thf(zip_tseitin_10_type, type, zip_tseitin_10: $i > $o).
% 10.13/2.04 thf(sk__19_type, type, sk__19: $i > $i).
% 10.13/2.04 thf(zip_tseitin_8_type, type, zip_tseitin_8: $i > $o).
% 10.13/2.04 thf(sz00_type, type, sz00: $i).
% 10.13/2.04 thf(sk__18_type, type, sk__18: $i).
% 10.13/2.04 thf(sbsmnsldt0_type, type, sbsmnsldt0: $i > $i).
% 10.13/2.04 thf(stldt0_type, type, stldt0: $i > $i).
% 10.13/2.04 thf(zip_tseitin_9_type, type, zip_tseitin_9: $i > $o).
% 10.13/2.04 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 10.13/2.04 thf(isPrime0_type, type, isPrime0: $i > $o).
% 10.13/2.04 thf(aDivisorOf0_type, type, aDivisorOf0: $i > $i > $o).
% 10.13/2.04 thf(aSet0_type, type, aSet0: $i > $o).
% 10.13/2.04 thf(m__, conjecture,
% 10.13/2.04 (( ![W0:$i]:
% 10.13/2.04 ( ( aInteger0 @ W0 ) =>
% 10.13/2.04 ( ( ( ?[W1:$i]:
% 10.13/2.04 ( ( ( ( aInteger0 @ W1 ) & ( ( W1 ) != ( sz00 ) ) &
% 10.13/2.04 ( ?[W2:$i]:
% 10.13/2.04 ( ( aInteger0 @ W2 ) &
% 10.13/2.04 ( ( sdtasdt0 @ W1 @ W2 ) = ( W0 ) ) ) ) ) |
% 10.13/2.04 ( aDivisorOf0 @ W1 @ W0 ) ) &
% 10.13/2.04 ( isPrime0 @ W1 ) ) ) =>
% 10.13/2.04 ( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) &
% 10.13/2.04 ( ?[W1:$i]:
% 10.13/2.04 ( ( aElementOf0 @ W1 @ xS ) & ( aElementOf0 @ W0 @ W1 ) ) ) ) ) &
% 10.13/2.04 ( ( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) |
% 10.13/2.04 ( ?[W1:$i]:
% 10.13/2.04 ( ( aElementOf0 @ W1 @ xS ) & ( aElementOf0 @ W0 @ W1 ) ) ) ) =>
% 10.13/2.04 ( ?[W1:$i]:
% 10.13/2.04 ( ( aInteger0 @ W1 ) & ( ( W1 ) != ( sz00 ) ) &
% 10.13/2.04 ( ?[W2:$i]:
% 10.13/2.04 ( ( aInteger0 @ W2 ) & ( ( sdtasdt0 @ W1 @ W2 ) = ( W0 ) ) ) ) &
% 10.13/2.04 ( aDivisorOf0 @ W1 @ W0 ) & ( isPrime0 @ W1 ) ) ) ) ) ) ) =>
% 10.13/2.04 ( ( ( ![W0:$i]:
% 10.13/2.04 ( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) <=>
% 10.13/2.04 ( ( ?[W1:$i]:
% 10.13/2.04 ( ( aElementOf0 @ W1 @ xS ) & ( aElementOf0 @ W0 @ W1 ) ) ) &
% 10.13/2.04 ( aInteger0 @ W0 ) ) ) ) &
% 10.13/2.04 ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) =>
% 10.13/2.04 ( ( ( ![W0:$i]:
% 10.13/2.04 ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) <=>
% 10.13/2.04 ( ( ~( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) &
% 10.13/2.04 ( aInteger0 @ W0 ) ) ) ) &
% 10.13/2.04 ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) =>
% 10.13/2.04 ( ( ( stldt0 @ ( sbsmnsldt0 @ xS ) ) = ( cS2076 ) ) |
% 10.13/2.04 ( ![W0:$i]:
% 10.13/2.04 ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) <=>
% 10.13/2.04 ( ( ( W0 ) = ( smndt0 @ sz10 ) ) | ( ( W0 ) = ( sz10 ) ) ) ) ) ) ) ))).
% 10.13/2.04 thf(zf_stmt_0, type, zip_tseitin_10 : $i > $o).
% 10.13/2.04 thf(zf_stmt_1, axiom,
% 10.13/2.04 (![W0:$i]:
% 10.13/2.04 ( ( zip_tseitin_10 @ W0 ) <=>
% 10.13/2.04 ( ( ( W0 ) = ( sz10 ) ) | ( ( W0 ) = ( smndt0 @ sz10 ) ) ) ))).
% 10.13/2.04 thf(zf_stmt_2, type, zip_tseitin_9 : $i > $o).
% 10.13/2.04 thf(zf_stmt_3, axiom,
% 10.13/2.04 (![W0:$i]:
% 10.13/2.04 ( ( zip_tseitin_9 @ W0 ) <=>
% 10.13/2.04 ( ( aInteger0 @ W0 ) & ( ~( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) ) ))).
% 10.13/2.04 thf(zf_stmt_4, type, zip_tseitin_8 : $i > $o).
% 10.13/2.04 thf(zf_stmt_5, axiom,
% 10.13/2.04 (![W0:$i]:
% 10.13/2.04 ( ( zip_tseitin_8 @ W0 ) <=>
% 10.13/2.04 ( ( aInteger0 @ W0 ) & ( ?[W1:$i]: ( zip_tseitin_7 @ W1 @ W0 ) ) ) ))).
% 10.13/2.04 thf(zf_stmt_6, type, zip_tseitin_7 : $i > $i > $o).
% 10.13/2.04 thf(zf_stmt_7, axiom,
% 10.13/2.04 (![W1:$i,W0:$i]:
% 10.13/2.04 ( ( zip_tseitin_7 @ W1 @ W0 ) <=>
% 10.13/2.04 ( ( aElementOf0 @ W0 @ W1 ) & ( aElementOf0 @ W1 @ xS ) ) ))).
% 10.13/2.04 thf(zf_stmt_8, conjecture,
% 10.13/2.04 (( ![W0:$i]:
% 10.13/2.04 ( ( aInteger0 @ W0 ) =>
% 10.13/2.04 ( ( ( ( ?[W1:$i]:
% 10.13/2.04 ( ( aElementOf0 @ W0 @ W1 ) & ( aElementOf0 @ W1 @ xS ) ) ) |
% 10.13/2.04 ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) =>
% 10.13/2.04 ( ?[W1:$i]:
% 10.13/2.04 ( ( isPrime0 @ W1 ) & ( aDivisorOf0 @ W1 @ W0 ) &
% 10.13/2.04 ( ?[W2:$i]:
% 10.13/2.04 ( ( ( sdtasdt0 @ W1 @ W2 ) = ( W0 ) ) & ( aInteger0 @ W2 ) ) ) &
% 10.13/2.04 ( ( W1 ) != ( sz00 ) ) & ( aInteger0 @ W1 ) ) ) ) &
% 10.13/2.04 ( ( ?[W1:$i]:
% 10.13/2.04 ( ( isPrime0 @ W1 ) &
% 10.13/2.04 ( ( aDivisorOf0 @ W1 @ W0 ) |
% 10.13/2.04 ( ( ?[W2:$i]:
% 10.13/2.04 ( ( ( sdtasdt0 @ W1 @ W2 ) = ( W0 ) ) &
% 10.13/2.04 ( aInteger0 @ W2 ) ) ) &
% 10.13/2.04 ( ( W1 ) != ( sz00 ) ) & ( aInteger0 @ W1 ) ) ) ) ) =>
% 10.13/2.04 ( ( ?[W1:$i]:
% 10.13/2.04 ( ( aElementOf0 @ W0 @ W1 ) & ( aElementOf0 @ W1 @ xS ) ) ) &
% 10.13/2.04 ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) ) =>
% 10.13/2.04 ( ( ( aSet0 @ ( sbsmnsldt0 @ xS ) ) &
% 10.13/2.04 ( ![W0:$i]:
% 10.13/2.04 ( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) <=>
% 10.13/2.04 ( zip_tseitin_8 @ W0 ) ) ) ) =>
% 10.13/2.04 ( ( ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) &
% 10.13/2.04 ( ![W0:$i]:
% 10.13/2.04 ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) <=>
% 10.13/2.04 ( zip_tseitin_9 @ W0 ) ) ) ) =>
% 10.13/2.04 ( ( ![W0:$i]:
% 10.13/2.04 ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) <=>
% 10.13/2.04 ( zip_tseitin_10 @ W0 ) ) ) |
% 10.13/2.04 ( ( stldt0 @ ( sbsmnsldt0 @ xS ) ) = ( cS2076 ) ) ) ) ))).
% 10.13/2.04 thf(zf_stmt_9, negated_conjecture,
% 10.13/2.04 (~( ( ![W0:$i]:
% 10.13/2.04 ( ( aInteger0 @ W0 ) =>
% 10.13/2.04 ( ( ( ( ?[W1:$i]:
% 10.13/2.04 ( ( aElementOf0 @ W0 @ W1 ) & ( aElementOf0 @ W1 @ xS ) ) ) |
% 10.13/2.04 ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) =>
% 10.13/2.04 ( ?[W1:$i]:
% 10.13/2.04 ( ( isPrime0 @ W1 ) & ( aDivisorOf0 @ W1 @ W0 ) &
% 10.13/2.04 ( ?[W2:$i]:
% 10.13/2.04 ( ( ( sdtasdt0 @ W1 @ W2 ) = ( W0 ) ) &
% 10.13/2.04 ( aInteger0 @ W2 ) ) ) &
% 10.13/2.04 ( ( W1 ) != ( sz00 ) ) & ( aInteger0 @ W1 ) ) ) ) &
% 10.13/2.04 ( ( ?[W1:$i]:
% 10.13/2.04 ( ( isPrime0 @ W1 ) &
% 10.13/2.04 ( ( aDivisorOf0 @ W1 @ W0 ) |
% 10.13/2.04 ( ( ?[W2:$i]:
% 10.13/2.04 ( ( ( sdtasdt0 @ W1 @ W2 ) = ( W0 ) ) &
% 10.13/2.04 ( aInteger0 @ W2 ) ) ) &
% 10.13/2.04 ( ( W1 ) != ( sz00 ) ) & ( aInteger0 @ W1 ) ) ) ) ) =>
% 10.13/2.04 ( ( ?[W1:$i]:
% 10.13/2.04 ( ( aElementOf0 @ W0 @ W1 ) & ( aElementOf0 @ W1 @ xS ) ) ) &
% 10.13/2.04 ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) ) =>
% 10.13/2.04 ( ( ( aSet0 @ ( sbsmnsldt0 @ xS ) ) &
% 10.13/2.04 ( ![W0:$i]:
% 10.13/2.04 ( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) <=>
% 10.13/2.04 ( zip_tseitin_8 @ W0 ) ) ) ) =>
% 10.13/2.04 ( ( ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) &
% 10.13/2.04 ( ![W0:$i]:
% 10.13/2.04 ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) <=>
% 10.13/2.04 ( zip_tseitin_9 @ W0 ) ) ) ) =>
% 10.13/2.04 ( ( ![W0:$i]:
% 10.13/2.04 ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) <=>
% 10.13/2.04 ( zip_tseitin_10 @ W0 ) ) ) |
% 10.13/2.04 ( ( stldt0 @ ( sbsmnsldt0 @ xS ) ) = ( cS2076 ) ) ) ) ) )),
% 10.13/2.04 inference('cnf.neg', [status(esa)], [zf_stmt_8])).
% 10.13/2.04 thf(zip_derived_cl169, plain,
% 10.13/2.04 (( (zip_tseitin_10 @ sk__18)
% 10.13/2.04 | (aElementOf0 @ sk__18 @ (stldt0 @ (sbsmnsldt0 @ xS))))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_9])).
% 10.13/2.04 thf(zip_derived_cl144, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 (((X0) = (smndt0 @ sz10)) | ((X0) = (sz10)) | ~ (zip_tseitin_10 @ X0))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.13/2.04 thf(zip_derived_cl1315, plain,
% 10.13/2.04 (( (aElementOf0 @ sk__18 @ (stldt0 @ (sbsmnsldt0 @ xS)))
% 10.13/2.04 | ((sk__18) = (sz10))
% 10.13/2.04 | ((sk__18) = (smndt0 @ sz10)))),
% 10.13/2.04 inference('dp-resolution', [status(thm)],
% 10.13/2.04 [zip_derived_cl169, zip_derived_cl144])).
% 10.13/2.04 thf(zip_derived_cl167, plain,
% 10.13/2.04 (![X5 : $i]:
% 10.13/2.04 ( (zip_tseitin_9 @ X5)
% 10.13/2.04 | ~ (aElementOf0 @ X5 @ (stldt0 @ (sbsmnsldt0 @ xS))))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_9])).
% 10.13/2.04 thf(zip_derived_cl142, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 (~ (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS)) | ~ (zip_tseitin_9 @ X0))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.13/2.04 thf(zip_derived_cl1328, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 (~ (aElementOf0 @ X0 @ (stldt0 @ (sbsmnsldt0 @ xS)))
% 10.13/2.04 | ~ (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS)))),
% 10.13/2.04 inference('dp-resolution', [status(thm)],
% 10.13/2.04 [zip_derived_cl167, zip_derived_cl142])).
% 10.13/2.04 thf(zip_derived_cl1619, plain,
% 10.13/2.04 ((((sk__18) = (smndt0 @ sz10))
% 10.13/2.04 | ((sk__18) = (sz10))
% 10.13/2.04 | ~ (aElementOf0 @ sk__18 @ (sbsmnsldt0 @ xS)))),
% 10.13/2.04 inference('sup-', [status(thm)], [zip_derived_cl1315, zip_derived_cl1328])).
% 10.13/2.04 thf(mPrimeDivisor, axiom,
% 10.13/2.04 (![W0:$i]:
% 10.13/2.04 ( ( aInteger0 @ W0 ) =>
% 10.13/2.04 ( ( ?[W1:$i]: ( ( isPrime0 @ W1 ) & ( aDivisorOf0 @ W1 @ W0 ) ) ) <=>
% 10.13/2.04 ( ( ( W0 ) != ( sz10 ) ) & ( ( W0 ) != ( smndt0 @ sz10 ) ) ) ) ))).
% 10.13/2.04 thf(zip_derived_cl36, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 (((X0) = (sz10))
% 10.13/2.04 | ((X0) = (smndt0 @ sz10))
% 10.13/2.04 | (aDivisorOf0 @ (sk__1 @ X0) @ X0)
% 10.13/2.04 | ~ (aInteger0 @ X0))),
% 10.13/2.04 inference('cnf', [status(esa)], [mPrimeDivisor])).
% 10.13/2.04 thf(zip_derived_cl159, plain,
% 10.13/2.04 (![X0 : $i, X2 : $i]:
% 10.13/2.04 (~ (isPrime0 @ X2)
% 10.13/2.04 | ~ (aDivisorOf0 @ X2 @ X0)
% 10.13/2.04 | (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS))
% 10.13/2.04 | ~ (aInteger0 @ X0))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_9])).
% 10.13/2.04 thf(zip_derived_cl1982, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 (~ (aInteger0 @ X0)
% 10.13/2.04 | ((X0) = (smndt0 @ sz10))
% 10.13/2.04 | ((X0) = (sz10))
% 10.13/2.04 | ~ (aInteger0 @ X0)
% 10.13/2.04 | (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS))
% 10.13/2.04 | ~ (isPrime0 @ (sk__1 @ X0)))),
% 10.13/2.04 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl159])).
% 10.13/2.04 thf(zip_derived_cl1983, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 (~ (isPrime0 @ (sk__1 @ X0))
% 10.13/2.04 | (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS))
% 10.13/2.04 | ((X0) = (sz10))
% 10.13/2.04 | ((X0) = (smndt0 @ sz10))
% 10.13/2.04 | ~ (aInteger0 @ X0))),
% 10.13/2.04 inference('simplify', [status(thm)], [zip_derived_cl1982])).
% 10.13/2.04 thf(zip_derived_cl37, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 (((X0) = (sz10))
% 10.13/2.04 | ((X0) = (smndt0 @ sz10))
% 10.13/2.04 | (isPrime0 @ (sk__1 @ X0))
% 10.13/2.04 | ~ (aInteger0 @ X0))),
% 10.13/2.04 inference('cnf', [status(esa)], [mPrimeDivisor])).
% 10.13/2.04 thf(zip_derived_cl9363, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 (~ (aInteger0 @ X0)
% 10.13/2.04 | ((X0) = (smndt0 @ sz10))
% 10.13/2.04 | ((X0) = (sz10))
% 10.13/2.04 | (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS)))),
% 10.13/2.04 inference('clc', [status(thm)], [zip_derived_cl1983, zip_derived_cl37])).
% 10.13/2.04 thf(zip_derived_cl9438, plain,
% 10.13/2.04 ((((sk__18) = (sz10))
% 10.13/2.04 | ((sk__18) = (smndt0 @ sz10))
% 10.13/2.04 | ((sk__18) = (sz10))
% 10.13/2.04 | ((sk__18) = (smndt0 @ sz10))
% 10.13/2.04 | ~ (aInteger0 @ sk__18))),
% 10.13/2.04 inference('sup+', [status(thm)], [zip_derived_cl1619, zip_derived_cl9363])).
% 10.13/2.04 thf(zip_derived_cl9440, plain,
% 10.13/2.04 ((~ (aInteger0 @ sk__18)
% 10.13/2.04 | ((sk__18) = (smndt0 @ sz10))
% 10.13/2.04 | ((sk__18) = (sz10)))),
% 10.13/2.04 inference('simplify', [status(thm)], [zip_derived_cl9438])).
% 10.13/2.04 thf(zip_derived_cl39, plain,
% 10.13/2.04 (![X0 : $i, X1 : $i]:
% 10.13/2.04 (~ (isPrime0 @ X0)
% 10.13/2.04 | ~ (aDivisorOf0 @ X0 @ X1)
% 10.13/2.04 | ((X1) != (sz10))
% 10.13/2.04 | ~ (aInteger0 @ X1))),
% 10.13/2.04 inference('cnf', [status(esa)], [mPrimeDivisor])).
% 10.13/2.04 thf(zip_derived_cl145, plain,
% 10.13/2.04 (![X0 : $i]: ( (zip_tseitin_10 @ X0) | ((X0) != (sz10)))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.13/2.04 thf(zip_derived_cl168, plain,
% 10.13/2.04 ((~ (zip_tseitin_10 @ sk__18)
% 10.13/2.04 | ~ (aElementOf0 @ sk__18 @ (stldt0 @ (sbsmnsldt0 @ xS))))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_9])).
% 10.13/2.04 thf(zip_derived_cl1316, plain,
% 10.13/2.04 ((((sk__18) != (sz10))
% 10.13/2.04 | ~ (aElementOf0 @ sk__18 @ (stldt0 @ (sbsmnsldt0 @ xS))))),
% 10.13/2.04 inference('dp-resolution', [status(thm)],
% 10.13/2.04 [zip_derived_cl145, zip_derived_cl168])).
% 10.13/2.04 thf(zip_derived_cl1603, plain,
% 10.13/2.04 ((((sk__18) != (sz10))
% 10.13/2.04 | ~ (aElementOf0 @ sz10 @ (stldt0 @ (sbsmnsldt0 @ xS))))),
% 10.13/2.04 inference('local_rewriting', [status(thm)], [zip_derived_cl1316])).
% 10.13/2.04 thf(zip_derived_cl143, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 ( (zip_tseitin_9 @ X0)
% 10.13/2.04 | (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS))
% 10.13/2.04 | ~ (aInteger0 @ X0))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.13/2.04 thf(zip_derived_cl166, plain,
% 10.13/2.04 (![X4 : $i]:
% 10.13/2.04 ( (aElementOf0 @ X4 @ (stldt0 @ (sbsmnsldt0 @ xS)))
% 10.13/2.04 | ~ (zip_tseitin_9 @ X4))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_9])).
% 10.13/2.04 thf(zip_derived_cl1326, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 (~ (aInteger0 @ X0)
% 10.13/2.04 | (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS))
% 10.13/2.04 | (aElementOf0 @ X0 @ (stldt0 @ (sbsmnsldt0 @ xS))))),
% 10.13/2.04 inference('dp-resolution', [status(thm)],
% 10.13/2.04 [zip_derived_cl143, zip_derived_cl166])).
% 10.13/2.04 thf(zip_derived_cl1995, plain,
% 10.13/2.04 ((((sk__18) != (sz10))
% 10.13/2.04 | (aElementOf0 @ sz10 @ (sbsmnsldt0 @ xS))
% 10.13/2.04 | ~ (aInteger0 @ sz10))),
% 10.13/2.04 inference('sup+', [status(thm)], [zip_derived_cl1603, zip_derived_cl1326])).
% 10.13/2.04 thf(mIntOne, axiom, (aInteger0 @ sz10)).
% 10.13/2.04 thf(zip_derived_cl2, plain, ( (aInteger0 @ sz10)),
% 10.13/2.04 inference('cnf', [status(esa)], [mIntOne])).
% 10.13/2.04 thf(zip_derived_cl1998, plain,
% 10.13/2.04 ((((sk__18) != (sz10)) | (aElementOf0 @ sz10 @ (sbsmnsldt0 @ xS)))),
% 10.13/2.04 inference('demod', [status(thm)], [zip_derived_cl1995, zip_derived_cl2])).
% 10.13/2.04 thf(zip_derived_cl155, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 (~ (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS))
% 10.13/2.04 | (aDivisorOf0 @ (sk__19 @ X0) @ X0)
% 10.13/2.04 | ~ (aInteger0 @ X0))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_9])).
% 10.13/2.04 thf(zip_derived_cl172, plain,
% 10.13/2.04 (![X7 : $i]:
% 10.13/2.04 ( (zip_tseitin_8 @ X7) | ~ (aElementOf0 @ X7 @ (sbsmnsldt0 @ xS)))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_9])).
% 10.13/2.04 thf(zip_derived_cl138, plain,
% 10.13/2.04 (![X0 : $i]: ( (aInteger0 @ X0) | ~ (zip_tseitin_8 @ X0))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_5])).
% 10.13/2.04 thf(zip_derived_cl1336, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 (~ (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS)) | (aInteger0 @ X0))),
% 10.13/2.04 inference('dp-resolution', [status(thm)],
% 10.13/2.04 [zip_derived_cl172, zip_derived_cl138])).
% 10.13/2.04 thf(zip_derived_cl1916, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 ( (aDivisorOf0 @ (sk__19 @ X0) @ X0)
% 10.13/2.04 | ~ (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS)))),
% 10.13/2.04 inference('clc', [status(thm)], [zip_derived_cl155, zip_derived_cl1336])).
% 10.13/2.04 thf(zip_derived_cl2013, plain,
% 10.13/2.04 ((((sk__18) != (sz10)) | (aDivisorOf0 @ (sk__19 @ sz10) @ sz10))),
% 10.13/2.04 inference('sup-', [status(thm)], [zip_derived_cl1998, zip_derived_cl1916])).
% 10.13/2.04 thf(zip_derived_cl2051, plain,
% 10.13/2.04 ((~ (aInteger0 @ sz10)
% 10.13/2.04 | ((sz10) != (sz10))
% 10.13/2.04 | ~ (isPrime0 @ (sk__19 @ sz10))
% 10.13/2.04 | ((sk__18) != (sz10)))),
% 10.13/2.04 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl2013])).
% 10.13/2.04 thf(zip_derived_cl2, plain, ( (aInteger0 @ sz10)),
% 10.13/2.04 inference('cnf', [status(esa)], [mIntOne])).
% 10.13/2.04 thf(zip_derived_cl2055, plain,
% 10.13/2.04 ((((sz10) != (sz10))
% 10.13/2.04 | ~ (isPrime0 @ (sk__19 @ sz10))
% 10.13/2.04 | ((sk__18) != (sz10)))),
% 10.13/2.04 inference('demod', [status(thm)], [zip_derived_cl2051, zip_derived_cl2])).
% 10.13/2.04 thf(zip_derived_cl2056, plain,
% 10.13/2.04 ((((sk__18) != (sz10)) | ~ (isPrime0 @ (sk__19 @ sz10)))),
% 10.13/2.04 inference('simplify', [status(thm)], [zip_derived_cl2055])).
% 10.13/2.04 thf(zip_derived_cl1998, plain,
% 10.13/2.04 ((((sk__18) != (sz10)) | (aElementOf0 @ sz10 @ (sbsmnsldt0 @ xS)))),
% 10.13/2.04 inference('demod', [status(thm)], [zip_derived_cl1995, zip_derived_cl2])).
% 10.13/2.04 thf(zip_derived_cl157, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 (~ (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS))
% 10.13/2.04 | (isPrime0 @ (sk__19 @ X0))
% 10.13/2.04 | ~ (aInteger0 @ X0))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_9])).
% 10.13/2.04 thf(zip_derived_cl1336, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 (~ (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS)) | (aInteger0 @ X0))),
% 10.13/2.04 inference('dp-resolution', [status(thm)],
% 10.13/2.04 [zip_derived_cl172, zip_derived_cl138])).
% 10.13/2.04 thf(zip_derived_cl1764, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 ( (isPrime0 @ (sk__19 @ X0))
% 10.13/2.04 | ~ (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS)))),
% 10.13/2.04 inference('clc', [status(thm)], [zip_derived_cl157, zip_derived_cl1336])).
% 10.13/2.04 thf(zip_derived_cl2012, plain,
% 10.13/2.04 ((((sk__18) != (sz10)) | (isPrime0 @ (sk__19 @ sz10)))),
% 10.13/2.04 inference('sup-', [status(thm)], [zip_derived_cl1998, zip_derived_cl1764])).
% 10.13/2.04 thf(zip_derived_cl2066, plain, (((sk__18) != (sz10))),
% 10.13/2.04 inference('clc', [status(thm)], [zip_derived_cl2056, zip_derived_cl2012])).
% 10.13/2.04 thf(zip_derived_cl9441, plain,
% 10.13/2.04 ((~ (aInteger0 @ sk__18) | ((sk__18) = (smndt0 @ sz10)))),
% 10.13/2.04 inference('simplify_reflect-', [status(thm)],
% 10.13/2.04 [zip_derived_cl9440, zip_derived_cl2066])).
% 10.13/2.04 thf(zip_derived_cl38, plain,
% 10.13/2.04 (![X0 : $i, X1 : $i]:
% 10.13/2.04 (~ (isPrime0 @ X0)
% 10.13/2.04 | ~ (aDivisorOf0 @ X0 @ X1)
% 10.13/2.04 | ((X1) != (smndt0 @ sz10))
% 10.13/2.04 | ~ (aInteger0 @ X1))),
% 10.13/2.04 inference('cnf', [status(esa)], [mPrimeDivisor])).
% 10.13/2.04 thf(zip_derived_cl1326, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 (~ (aInteger0 @ X0)
% 10.13/2.04 | (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS))
% 10.13/2.04 | (aElementOf0 @ X0 @ (stldt0 @ (sbsmnsldt0 @ xS))))),
% 10.13/2.04 inference('dp-resolution', [status(thm)],
% 10.13/2.04 [zip_derived_cl143, zip_derived_cl166])).
% 10.13/2.04 thf(zip_derived_cl146, plain,
% 10.13/2.04 (![X0 : $i]: ( (zip_tseitin_10 @ X0) | ((X0) != (smndt0 @ sz10)))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.13/2.04 thf(zip_derived_cl168, plain,
% 10.13/2.04 ((~ (zip_tseitin_10 @ sk__18)
% 10.13/2.04 | ~ (aElementOf0 @ sk__18 @ (stldt0 @ (sbsmnsldt0 @ xS))))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_9])).
% 10.13/2.04 thf(zip_derived_cl1317, plain,
% 10.13/2.04 ((((sk__18) != (smndt0 @ sz10))
% 10.13/2.04 | ~ (aElementOf0 @ sk__18 @ (stldt0 @ (sbsmnsldt0 @ xS))))),
% 10.13/2.04 inference('dp-resolution', [status(thm)],
% 10.13/2.04 [zip_derived_cl146, zip_derived_cl168])).
% 10.13/2.04 thf(zip_derived_cl1992, plain,
% 10.13/2.04 (( (aElementOf0 @ sk__18 @ (sbsmnsldt0 @ xS))
% 10.13/2.04 | ~ (aInteger0 @ sk__18)
% 10.13/2.04 | ((sk__18) != (smndt0 @ sz10)))),
% 10.13/2.04 inference('sup-', [status(thm)], [zip_derived_cl1326, zip_derived_cl1317])).
% 10.13/2.04 thf(zip_derived_cl1916, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 ( (aDivisorOf0 @ (sk__19 @ X0) @ X0)
% 10.13/2.04 | ~ (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS)))),
% 10.13/2.04 inference('clc', [status(thm)], [zip_derived_cl155, zip_derived_cl1336])).
% 10.13/2.04 thf(zip_derived_cl2091, plain,
% 10.13/2.04 ((((sk__18) != (smndt0 @ sz10))
% 10.13/2.04 | ~ (aInteger0 @ sk__18)
% 10.13/2.04 | (aDivisorOf0 @ (sk__19 @ sk__18) @ sk__18))),
% 10.13/2.04 inference('sup-', [status(thm)], [zip_derived_cl1992, zip_derived_cl1916])).
% 10.13/2.04 thf(zip_derived_cl2655, plain,
% 10.13/2.04 ((~ (aInteger0 @ sk__18)
% 10.13/2.04 | ((sk__18) != (smndt0 @ sz10))
% 10.13/2.04 | ~ (isPrime0 @ (sk__19 @ sk__18))
% 10.13/2.04 | ~ (aInteger0 @ sk__18)
% 10.13/2.04 | ((sk__18) != (smndt0 @ sz10)))),
% 10.13/2.04 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl2091])).
% 10.13/2.04 thf(zip_derived_cl2659, plain,
% 10.13/2.04 ((~ (isPrime0 @ (sk__19 @ sk__18))
% 10.13/2.04 | ((sk__18) != (smndt0 @ sz10))
% 10.13/2.04 | ~ (aInteger0 @ sk__18))),
% 10.13/2.04 inference('simplify', [status(thm)], [zip_derived_cl2655])).
% 10.13/2.04 thf(zip_derived_cl1992, plain,
% 10.13/2.04 (( (aElementOf0 @ sk__18 @ (sbsmnsldt0 @ xS))
% 10.13/2.04 | ~ (aInteger0 @ sk__18)
% 10.13/2.04 | ((sk__18) != (smndt0 @ sz10)))),
% 10.13/2.04 inference('sup-', [status(thm)], [zip_derived_cl1326, zip_derived_cl1317])).
% 10.13/2.04 thf(zip_derived_cl1764, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 ( (isPrime0 @ (sk__19 @ X0))
% 10.13/2.04 | ~ (aElementOf0 @ X0 @ (sbsmnsldt0 @ xS)))),
% 10.13/2.04 inference('clc', [status(thm)], [zip_derived_cl157, zip_derived_cl1336])).
% 10.13/2.04 thf(zip_derived_cl2090, plain,
% 10.13/2.04 ((((sk__18) != (smndt0 @ sz10))
% 10.13/2.04 | ~ (aInteger0 @ sk__18)
% 10.13/2.04 | (isPrime0 @ (sk__19 @ sk__18)))),
% 10.13/2.04 inference('sup-', [status(thm)], [zip_derived_cl1992, zip_derived_cl1764])).
% 10.13/2.04 thf(zip_derived_cl2696, plain,
% 10.13/2.04 ((~ (aInteger0 @ sk__18) | ((sk__18) != (smndt0 @ sz10)))),
% 10.13/2.04 inference('clc', [status(thm)], [zip_derived_cl2659, zip_derived_cl2090])).
% 10.13/2.04 thf(zip_derived_cl9458, plain, (~ (aInteger0 @ sk__18)),
% 10.13/2.04 inference('clc', [status(thm)], [zip_derived_cl9441, zip_derived_cl2696])).
% 10.13/2.04 thf(zip_derived_cl1315, plain,
% 10.13/2.04 (( (aElementOf0 @ sk__18 @ (stldt0 @ (sbsmnsldt0 @ xS)))
% 10.13/2.04 | ((sk__18) = (sz10))
% 10.13/2.04 | ((sk__18) = (smndt0 @ sz10)))),
% 10.13/2.04 inference('dp-resolution', [status(thm)],
% 10.13/2.04 [zip_derived_cl169, zip_derived_cl144])).
% 10.13/2.04 thf(zip_derived_cl167, plain,
% 10.13/2.04 (![X5 : $i]:
% 10.13/2.04 ( (zip_tseitin_9 @ X5)
% 10.13/2.04 | ~ (aElementOf0 @ X5 @ (stldt0 @ (sbsmnsldt0 @ xS))))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_9])).
% 10.13/2.04 thf(zip_derived_cl141, plain,
% 10.13/2.04 (![X0 : $i]: ( (aInteger0 @ X0) | ~ (zip_tseitin_9 @ X0))),
% 10.13/2.04 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.13/2.04 thf(zip_derived_cl1327, plain,
% 10.13/2.04 (![X0 : $i]:
% 10.13/2.04 (~ (aElementOf0 @ X0 @ (stldt0 @ (sbsmnsldt0 @ xS)))
% 10.13/2.04 | (aInteger0 @ X0))),
% 10.13/2.04 inference('dp-resolution', [status(thm)],
% 10.13/2.04 [zip_derived_cl167, zip_derived_cl141])).
% 10.13/2.04 thf(zip_derived_cl1618, plain,
% 10.13/2.04 ((((sk__18) = (smndt0 @ sz10))
% 10.13/2.04 | ((sk__18) = (sz10))
% 10.13/2.04 | (aInteger0 @ sk__18))),
% 10.13/2.04 inference('sup-', [status(thm)], [zip_derived_cl1315, zip_derived_cl1327])).
% 10.13/2.04 thf(mIntNeg, axiom,
% 10.13/2.04 (![W0:$i]: ( ( aInteger0 @ W0 ) => ( aInteger0 @ ( smndt0 @ W0 ) ) ))).
% 10.13/2.04 thf(zip_derived_cl3, plain,
% 10.13/2.04 (![X0 : $i]: ( (aInteger0 @ (smndt0 @ X0)) | ~ (aInteger0 @ X0))),
% 10.13/2.04 inference('cnf', [status(esa)], [mIntNeg])).
% 10.13/2.04 thf(zip_derived_cl1642, plain,
% 10.13/2.04 (( (aInteger0 @ sk__18)
% 10.13/2.04 | (aInteger0 @ sk__18)
% 10.13/2.04 | ((sk__18) = (sz10))
% 10.13/2.04 | ~ (aInteger0 @ sz10))),
% 10.13/2.04 inference('sup+', [status(thm)], [zip_derived_cl1618, zip_derived_cl3])).
% 10.13/2.04 thf(zip_derived_cl2, plain, ( (aInteger0 @ sz10)),
% 10.13/2.04 inference('cnf', [status(esa)], [mIntOne])).
% 10.13/2.04 thf(zip_derived_cl1645, plain,
% 10.13/2.04 (( (aInteger0 @ sk__18) | (aInteger0 @ sk__18) | ((sk__18) = (sz10)))),
% 10.13/2.04 inference('demod', [status(thm)], [zip_derived_cl1642, zip_derived_cl2])).
% 10.13/2.04 thf(zip_derived_cl1646, plain,
% 10.13/2.04 ((((sk__18) = (sz10)) | (aInteger0 @ sk__18))),
% 10.13/2.04 inference('simplify', [status(thm)], [zip_derived_cl1645])).
% 10.13/2.04 thf(zip_derived_cl2066, plain, (((sk__18) != (sz10))),
% 10.13/2.04 inference('clc', [status(thm)], [zip_derived_cl2056, zip_derived_cl2012])).
% 10.13/2.04 thf(zip_derived_cl9459, plain, ( (aInteger0 @ sk__18)),
% 10.13/2.04 inference('simplify_reflect-', [status(thm)],
% 10.13/2.04 [zip_derived_cl1646, zip_derived_cl2066])).
% 10.13/2.04 thf(zip_derived_cl9461, plain, ($false),
% 10.13/2.04 inference('demod', [status(thm)],
% 10.13/2.04 [zip_derived_cl9458, zip_derived_cl9459])).
% 10.13/2.04
% 10.13/2.04 % SZS output end Refutation
% 10.13/2.04
% 10.13/2.04
% 10.13/2.04 % Terminating...
% 10.25/2.11 % Runner terminated.
% 10.25/2.12 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------