%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM496+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.M06UVidetA true
% Computer : n013.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 04:47:12 PM UTC 2025
% Result : Theorem 5.45s 1.39s
% Output : Refutation 5.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM496+3 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.M06UVidetA true
% 0.12/0.35 % Computer : n013.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 16:33:38 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.36 % Python version: Python 3.6.8
% 0.12/0.36 % Running in FO mode
% 0.50/0.65 % Total configuration time : 435
% 0.50/0.65 % Estimated wc time : 1092
% 0.50/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.72 % /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
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.45/1.39 % Solved by fo/fo6_bce.sh.
% 5.45/1.39 % BCE start: 129
% 5.45/1.39 % BCE eliminated: 1
% 5.45/1.39 % PE start: 128
% 5.45/1.39 logic: eq
% 5.45/1.39 % PE eliminated: 11
% 5.45/1.39 % done 415 iterations in 0.680s
% 5.45/1.39 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.45/1.39 % SZS output start Refutation
% 5.45/1.39 thf(aNaturalNumber0_type, type, aNaturalNumber0: $i > $o).
% 5.45/1.39 thf(xp_type, type, xp: $i).
% 5.45/1.39 thf(zip_tseitin_12_type, type, zip_tseitin_12: $i > $o).
% 5.45/1.39 thf(sz10_type, type, sz10: $i).
% 5.45/1.39 thf(sdtpldt0_type, type, sdtpldt0: $i > $i > $i).
% 5.45/1.39 thf(sdtasdt0_type, type, sdtasdt0: $i > $i > $i).
% 5.45/1.39 thf(sz00_type, type, sz00: $i).
% 5.45/1.39 thf(xr_type, type, xr: $i).
% 5.45/1.39 thf(zip_tseitin_13_type, type, zip_tseitin_13: $o).
% 5.45/1.39 thf(doDivides0_type, type, doDivides0: $i > $i > $o).
% 5.45/1.39 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 5.45/1.39 thf(xn_type, type, xn: $i).
% 5.45/1.39 thf(zip_tseitin_10_type, type, zip_tseitin_10: $i > $o).
% 5.45/1.39 thf(xm_type, type, xm: $i).
% 5.45/1.39 thf(zip_tseitin_11_type, type, zip_tseitin_11: $o).
% 5.45/1.39 thf(m_MulUnit, axiom,
% 5.45/1.39 (![W0:$i]:
% 5.45/1.39 ( ( aNaturalNumber0 @ W0 ) =>
% 5.45/1.39 ( ( ( sdtasdt0 @ W0 @ sz10 ) = ( W0 ) ) &
% 5.45/1.39 ( ( W0 ) = ( sdtasdt0 @ sz10 @ W0 ) ) ) ))).
% 5.45/1.39 thf(zip_derived_cl13, plain,
% 5.45/1.39 (![X0 : $i]: (((X0) = (sdtasdt0 @ sz10 @ X0)) | ~ (aNaturalNumber0 @ X0))),
% 5.45/1.39 inference('cnf', [status(esa)], [m_MulUnit])).
% 5.45/1.39 thf(mMulComm, axiom,
% 5.45/1.39 (![W0:$i,W1:$i]:
% 5.45/1.39 ( ( ( aNaturalNumber0 @ W0 ) & ( aNaturalNumber0 @ W1 ) ) =>
% 5.45/1.39 ( ( sdtasdt0 @ W0 @ W1 ) = ( sdtasdt0 @ W1 @ W0 ) ) ))).
% 5.45/1.39 thf(zip_derived_cl10, plain,
% 5.45/1.39 (![X0 : $i, X1 : $i]:
% 5.45/1.39 (~ (aNaturalNumber0 @ X0)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X1)
% 5.45/1.39 | ((sdtasdt0 @ X0 @ X1) = (sdtasdt0 @ X1 @ X0)))),
% 5.45/1.39 inference('cnf', [status(esa)], [mMulComm])).
% 5.45/1.39 thf(mDefDiv, axiom,
% 5.45/1.39 (![W0:$i,W1:$i]:
% 5.45/1.39 ( ( ( aNaturalNumber0 @ W0 ) & ( aNaturalNumber0 @ W1 ) ) =>
% 5.45/1.39 ( ( doDivides0 @ W0 @ W1 ) <=>
% 5.45/1.39 ( ?[W2:$i]:
% 5.45/1.39 ( ( ( W1 ) = ( sdtasdt0 @ W0 @ W2 ) ) & ( aNaturalNumber0 @ W2 ) ) ) ) ))).
% 5.45/1.39 thf(zip_derived_cl51, plain,
% 5.45/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.45/1.39 (~ (aNaturalNumber0 @ X0)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X1)
% 5.45/1.39 | (doDivides0 @ X0 @ X1)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X2)
% 5.45/1.39 | ((X1) != (sdtasdt0 @ X0 @ X2)))),
% 5.45/1.39 inference('cnf', [status(esa)], [mDefDiv])).
% 5.45/1.39 thf(zip_derived_cl1945, plain,
% 5.45/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.45/1.39 (~ (aNaturalNumber0 @ X1)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X0)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X0)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X2)
% 5.45/1.39 | (doDivides0 @ X0 @ X2)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X1)
% 5.45/1.39 | ((X2) != (sdtasdt0 @ X1 @ X0)))),
% 5.45/1.39 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl51])).
% 5.45/1.39 thf(zip_derived_cl1957, plain,
% 5.45/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.45/1.39 (((X2) != (sdtasdt0 @ X1 @ X0))
% 5.45/1.39 | (doDivides0 @ X0 @ X2)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X2)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X0)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X1))),
% 5.45/1.39 inference('simplify', [status(thm)], [zip_derived_cl1945])).
% 5.45/1.39 thf(zip_derived_cl2165, plain,
% 5.45/1.39 (![X0 : $i, X1 : $i]:
% 5.45/1.39 (~ (aNaturalNumber0 @ X0)
% 5.45/1.39 | ((X1) != (X0))
% 5.45/1.39 | (doDivides0 @ X0 @ X1)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X1)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X0)
% 5.45/1.39 | ~ (aNaturalNumber0 @ sz10))),
% 5.45/1.39 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl1957])).
% 5.45/1.39 thf(mSortsC_01, axiom,
% 5.45/1.39 (( ( sz10 ) != ( sz00 ) ) & ( aNaturalNumber0 @ sz10 ))).
% 5.45/1.39 thf(zip_derived_cl3, plain, ( (aNaturalNumber0 @ sz10)),
% 5.45/1.39 inference('cnf', [status(esa)], [mSortsC_01])).
% 5.45/1.39 thf(zip_derived_cl2181, plain,
% 5.45/1.39 (![X0 : $i, X1 : $i]:
% 5.45/1.39 (~ (aNaturalNumber0 @ X0)
% 5.45/1.39 | ((X1) != (X0))
% 5.45/1.39 | (doDivides0 @ X0 @ X1)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X1)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X0))),
% 5.45/1.39 inference('demod', [status(thm)], [zip_derived_cl2165, zip_derived_cl3])).
% 5.45/1.39 thf(zip_derived_cl2182, plain,
% 5.45/1.39 (![X0 : $i, X1 : $i]:
% 5.45/1.39 (~ (aNaturalNumber0 @ X1)
% 5.45/1.39 | (doDivides0 @ X0 @ X1)
% 5.45/1.39 | ((X1) != (X0))
% 5.45/1.39 | ~ (aNaturalNumber0 @ X0))),
% 5.45/1.39 inference('simplify', [status(thm)], [zip_derived_cl2181])).
% 5.45/1.39 thf(zip_derived_cl2210, plain,
% 5.45/1.39 (![X0 : $i]:
% 5.45/1.39 (~ (aNaturalNumber0 @ X0)
% 5.45/1.39 | (doDivides0 @ X0 @ X0)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X0))),
% 5.45/1.39 inference('eq_res', [status(thm)], [zip_derived_cl2182])).
% 5.45/1.39 thf(zip_derived_cl2211, plain,
% 5.45/1.39 (![X0 : $i]: ( (doDivides0 @ X0 @ X0) | ~ (aNaturalNumber0 @ X0))),
% 5.45/1.39 inference('simplify', [status(thm)], [zip_derived_cl2210])).
% 5.45/1.39 thf(m__1883, axiom,
% 5.45/1.39 (( ( xr ) = ( sdtmndt0 @ xn @ xp ) ) &
% 5.45/1.39 ( ( sdtpldt0 @ xp @ xr ) = ( xn ) ) & ( aNaturalNumber0 @ xr ))).
% 5.45/1.39 thf(zip_derived_cl107, plain, (((sdtpldt0 @ xp @ xr) = (xn))),
% 5.45/1.39 inference('cnf', [status(esa)], [m__1883])).
% 5.45/1.39 thf(mDivSum, axiom,
% 5.45/1.39 (![W0:$i,W1:$i,W2:$i]:
% 5.45/1.39 ( ( ( aNaturalNumber0 @ W0 ) & ( aNaturalNumber0 @ W1 ) &
% 5.45/1.39 ( aNaturalNumber0 @ W2 ) ) =>
% 5.45/1.39 ( ( ( doDivides0 @ W0 @ W1 ) & ( doDivides0 @ W0 @ W2 ) ) =>
% 5.45/1.39 ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ))).
% 5.45/1.39 thf(zip_derived_cl56, plain,
% 5.45/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.45/1.39 (~ (doDivides0 @ X0 @ X1)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X1)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X0)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X2)
% 5.45/1.39 | (doDivides0 @ X0 @ (sdtpldt0 @ X1 @ X2))
% 5.45/1.39 | ~ (doDivides0 @ X0 @ X2))),
% 5.45/1.39 inference('cnf', [status(esa)], [mDivSum])).
% 5.45/1.39 thf(zip_derived_cl2263, plain,
% 5.45/1.39 (![X0 : $i]:
% 5.45/1.39 (~ (doDivides0 @ X0 @ xp)
% 5.45/1.39 | ~ (aNaturalNumber0 @ xp)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X0)
% 5.45/1.39 | ~ (aNaturalNumber0 @ xr)
% 5.45/1.39 | (doDivides0 @ X0 @ xn)
% 5.45/1.39 | ~ (doDivides0 @ X0 @ xr))),
% 5.45/1.39 inference('s_sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl56])).
% 5.45/1.39 thf(m__1837, axiom,
% 5.45/1.39 (( aNaturalNumber0 @ xp ) & ( aNaturalNumber0 @ xm ) &
% 5.45/1.39 ( aNaturalNumber0 @ xn ))).
% 5.45/1.39 thf(zip_derived_cl70, plain, ( (aNaturalNumber0 @ xp)),
% 5.45/1.39 inference('cnf', [status(esa)], [m__1837])).
% 5.45/1.39 thf(zip_derived_cl108, plain, ( (aNaturalNumber0 @ xr)),
% 5.45/1.39 inference('cnf', [status(esa)], [m__1883])).
% 5.45/1.39 thf(zip_derived_cl2275, plain,
% 5.45/1.39 (![X0 : $i]:
% 5.45/1.39 (~ (doDivides0 @ X0 @ xp)
% 5.45/1.39 | ~ (aNaturalNumber0 @ X0)
% 5.45/1.39 | (doDivides0 @ X0 @ xn)
% 5.45/1.39 | ~ (doDivides0 @ X0 @ xr))),
% 5.45/1.39 inference('demod', [status(thm)],
% 5.45/1.39 [zip_derived_cl2263, zip_derived_cl70, zip_derived_cl108])).
% 5.45/1.39 thf(zip_derived_cl3825, plain,
% 5.45/1.39 ((~ (aNaturalNumber0 @ xp)
% 5.45/1.39 | ~ (aNaturalNumber0 @ xp)
% 5.45/1.39 | (doDivides0 @ xp @ xn)
% 5.45/1.39 | ~ (doDivides0 @ xp @ xr))),
% 5.45/1.39 inference('s_sup-', [status(thm)],
% 5.45/1.39 [zip_derived_cl2211, zip_derived_cl2275])).
% 5.45/1.39 thf(zip_derived_cl70, plain, ( (aNaturalNumber0 @ xp)),
% 5.45/1.39 inference('cnf', [status(esa)], [m__1837])).
% 5.45/1.39 thf(zip_derived_cl70, plain, ( (aNaturalNumber0 @ xp)),
% 5.45/1.39 inference('cnf', [status(esa)], [m__1837])).
% 5.45/1.39 thf(m__, conjecture,
% 5.45/1.39 (( doDivides0 @ xp @ xm ) |
% 5.45/1.39 ( ?[W0:$i]:
% 5.45/1.39 ( ( ( xm ) = ( sdtasdt0 @ xp @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ) |
% 5.45/1.39 ( doDivides0 @ xp @ xn ) |
% 5.45/1.39 ( ?[W0:$i]:
% 5.45/1.39 ( ( ( xn ) = ( sdtasdt0 @ xp @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ))).
% 5.45/1.39 thf(zf_stmt_0, negated_conjecture,
% 5.45/1.39 (~( ( doDivides0 @ xp @ xm ) |
% 5.45/1.39 ( ?[W0:$i]:
% 5.45/1.39 ( ( ( xm ) = ( sdtasdt0 @ xp @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ) |
% 5.45/1.39 ( doDivides0 @ xp @ xn ) |
% 5.45/1.39 ( ?[W0:$i]:
% 5.45/1.39 ( ( ( xn ) = ( sdtasdt0 @ xp @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ) )),
% 5.45/1.39 inference('cnf.neg', [status(esa)], [m__])).
% 5.45/1.39 thf(zip_derived_cl126, plain, (~ (doDivides0 @ xp @ xn)),
% 5.45/1.39 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.45/1.39 thf(m__2027, axiom,
% 5.45/1.39 (( ( ?[W0:$i]:
% 5.45/1.39 ( ( aNaturalNumber0 @ W0 ) & ( ( xr ) = ( sdtasdt0 @ xp @ W0 ) ) ) ) &
% 5.45/1.39 ( doDivides0 @ xp @ xr ) ) |
% 5.45/1.39 ( ( ?[W0:$i]:
% 5.45/1.39 ( ( aNaturalNumber0 @ W0 ) & ( ( xm ) = ( sdtasdt0 @ xp @ W0 ) ) ) ) &
% 5.45/1.39 ( doDivides0 @ xp @ xm ) ))).thf(zf_stmt_1, type, zip_tseitin_13 : $o).
% 5.45/1.39 thf(zf_stmt_2, axiom,
% 5.45/1.39 (( zip_tseitin_13 ) =>
% 5.45/1.39 ( ( doDivides0 @ xp @ xm ) & ( ?[W0:$i]: ( zip_tseitin_12 @ W0 ) ) ))).
% 5.45/1.39 thf(zf_stmt_3, type, zip_tseitin_12 : $i > $o).
% 5.45/1.39 thf(zf_stmt_4, axiom,
% 5.45/1.39 (![W0:$i]:
% 5.45/1.39 ( ( zip_tseitin_12 @ W0 ) =>
% 5.45/1.39 ( ( ( xm ) = ( sdtasdt0 @ xp @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ))).
% 5.45/1.39 thf(zf_stmt_5, type, zip_tseitin_11 : $o).
% 5.45/1.39 thf(zf_stmt_6, axiom,
% 5.45/1.39 (( zip_tseitin_11 ) =>
% 5.45/1.39 ( ( doDivides0 @ xp @ xr ) & ( ?[W0:$i]: ( zip_tseitin_10 @ W0 ) ) ))).
% 5.45/1.39 thf(zf_stmt_7, type, zip_tseitin_10 : $i > $o).
% 5.45/1.39 thf(zf_stmt_8, axiom,
% 5.45/1.39 (![W0:$i]:
% 5.45/1.39 ( ( zip_tseitin_10 @ W0 ) =>
% 5.45/1.39 ( ( ( xr ) = ( sdtasdt0 @ xp @ W0 ) ) & ( aNaturalNumber0 @ W0 ) ) ))).
% 5.45/1.39 thf(zf_stmt_9, axiom, (( zip_tseitin_13 ) | ( zip_tseitin_11 ))).
% 5.45/1.39 thf(zip_derived_cl124, plain, (( (zip_tseitin_13) | (zip_tseitin_11))),
% 5.45/1.39 inference('cnf', [status(esa)], [zf_stmt_9])).
% 5.45/1.39 thf(zip_derived_cl118, plain,
% 5.45/1.39 (( (doDivides0 @ xp @ xr) | ~ (zip_tseitin_11))),
% 5.45/1.39 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.45/1.39 thf(zip_derived_cl834, plain,
% 5.45/1.39 (( (zip_tseitin_13) | (doDivides0 @ xp @ xr))),
% 5.45/1.39 inference('dp-resolution', [status(thm)],
% 5.45/1.39 [zip_derived_cl124, zip_derived_cl118])).
% 5.45/1.39 thf(zip_derived_cl122, plain,
% 5.45/1.39 (( (doDivides0 @ xp @ xm) | ~ (zip_tseitin_13))),
% 5.45/1.39 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.45/1.39 thf(zip_derived_cl128, plain, (~ (doDivides0 @ xp @ xm)),
% 5.45/1.39 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.45/1.39 thf(zip_derived_cl955, plain, (~ (zip_tseitin_13)),
% 5.45/1.39 inference('clc', [status(thm)], [zip_derived_cl122, zip_derived_cl128])).
% 5.45/1.39 thf(zip_derived_cl1180, plain, ( (doDivides0 @ xp @ xr)),
% 5.45/1.39 inference('demod', [status(thm)], [zip_derived_cl834, zip_derived_cl955])).
% 5.45/1.39 thf(zip_derived_cl3837, plain, ($false),
% 5.45/1.39 inference('demod', [status(thm)],
% 5.45/1.39 [zip_derived_cl3825, zip_derived_cl70, zip_derived_cl70,
% 5.45/1.39 zip_derived_cl126, zip_derived_cl1180])).
% 5.45/1.39
% 5.45/1.39 % SZS output end Refutation
% 5.45/1.39
% 5.45/1.39
% 5.45/1.39 % Terminating...
% 5.85/1.48 % Runner terminated.
% 5.85/1.51 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------