%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HWC001-1 : TPTP v9.2.0. Bugfixed v1.1.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lJlRQnrqQb true
% Computer : n020.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 04:37:26 PM UTC 2025
% Result : Unsatisfiable 0.62s 0.85s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : HWC001-1 : TPTP v9.2.0. Bugfixed v1.1.1.
% 0.08/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lJlRQnrqQb true
% 0.16/0.38 % Computer : n020.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Wed Oct 1 15:21:38 EDT 2025
% 0.16/0.39 % CPUTime :
% 0.16/0.39 % Running portfolio for 300 s
% 0.16/0.39 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.39 % Number of cores: 8
% 0.16/0.39 % Python version: Python 3.6.8
% 0.16/0.39 % Running in FO mode
% 0.61/0.71 % Total configuration time : 435
% 0.61/0.71 % Estimated wc time : 1092
% 0.61/0.71 % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.80 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.83 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.83 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.85 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.85 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.85 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.85 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.62/0.85 % Solved by fo/fo6_bce.sh.
% 0.62/0.85 % BCE start: 9
% 0.62/0.85 % BCE eliminated: 0
% 0.62/0.85 % PE start: 9
% 0.62/0.85 logic: eq
% 0.62/0.85 % PE eliminated: 0
% 0.62/0.85 % done 34 iterations in 0.035s
% 0.62/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.62/0.85 % SZS output start Refutation
% 0.62/0.85 thf(n0_type, type, n0: $i).
% 0.62/0.85 thf(output_type, type, output: $i > $i > $i > $i > $o).
% 0.62/0.85 thf(nand_type, type, nand: $i > $i > $i).
% 0.62/0.85 thf(n1_type, type, n1: $i).
% 0.62/0.85 thf(not_type, type, not: $i > $i).
% 0.62/0.85 thf(and_type, type, and: $i > $i > $i).
% 0.62/0.85 thf(input2, conjecture, (~( output @ n0 @ n1 @ n0 @ n1 ))).
% 0.62/0.85 thf(zf_stmt_0, negated_conjecture, (output @ n0 @ n1 @ n0 @ n1),
% 0.62/0.85 inference('cnf.neg', [status(esa)], [input2])).
% 0.62/0.85 thf(zip_derived_cl7, plain, ( (output @ n0 @ n1 @ n0 @ n1)),
% 0.62/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.62/0.85 thf(zip_derived_cl7, plain, ( (output @ n0 @ n1 @ n0 @ n1)),
% 0.62/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.62/0.85 thf(and_definition1, axiom, (( and @ X @ n0 ) = ( n0 ))).
% 0.62/0.85 thf(zip_derived_cl1, plain, (![X0 : $i]: ((and @ X0 @ n0) = (n0))),
% 0.62/0.85 inference('cnf', [status(esa)], [and_definition1])).
% 0.62/0.85 thf(nand_definition, axiom, (( nand @ X @ Y ) = ( not @ ( and @ X @ Y ) ))).
% 0.62/0.85 thf(zip_derived_cl0, plain,
% 0.62/0.85 (![X0 : $i, X1 : $i]: ((nand @ X0 @ X1) = (not @ (and @ X0 @ X1)))),
% 0.62/0.85 inference('cnf', [status(esa)], [nand_definition])).
% 0.62/0.85 thf(zip_derived_cl22, plain, (![X0 : $i]: ((nand @ X0 @ n0) = (not @ n0))),
% 0.62/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.62/0.85 thf(not_definition1, axiom, (( not @ n0 ) = ( n1 ))).
% 0.62/0.85 thf(zip_derived_cl3, plain, (((not @ n0) = (n1))),
% 0.62/0.85 inference('cnf', [status(esa)], [not_definition1])).
% 0.62/0.85 thf(zip_derived_cl23, plain, (![X0 : $i]: ((nand @ X0 @ n0) = (n1))),
% 0.62/0.85 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl3])).
% 0.62/0.85 thf(nand_table_definition, conjecture,
% 0.62/0.85 (~( ( output @
% 0.62/0.85 ( nand @ X1 @ Y1 ) @ ( nand @ X2 @ Y2 ) @ ( nand @ X3 @ Y3 ) @
% 0.62/0.85 ( nand @ X4 @ Y4 ) ) |
% 0.62/0.85 ( ~( output @ Y1 @ Y2 @ Y3 @ Y4 ) ) |
% 0.62/0.85 ( ~( output @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 0.62/0.85 thf(zf_stmt_1, negated_conjecture,
% 0.62/0.85 (( output @
% 0.62/0.85 ( nand @ X1 @ Y1 ) @ ( nand @ X2 @ Y2 ) @ ( nand @ X3 @ Y3 ) @
% 0.62/0.85 ( nand @ X4 @ Y4 ) ) |
% 0.62/0.85 ( ~( output @ Y1 @ Y2 @ Y3 @ Y4 ) ) | ( ~( output @ X1 @ X2 @ X3 @ X4 ) )),
% 0.62/0.85 inference('cnf.neg', [status(esa)], [nand_table_definition])).
% 0.62/0.85 thf(zip_derived_cl5, plain,
% 0.62/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.62/0.85 ( (output @ (nand @ X0 @ X1) @ (nand @ X2 @ X3) @ (nand @ X4 @ X5) @
% 0.62/0.85 (nand @ X6 @ X7))
% 0.62/0.85 | ~ (output @ X1 @ X3 @ X5 @ X7)
% 0.62/0.85 | ~ (output @ X0 @ X2 @ X4 @ X6))),
% 0.62/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.62/0.85 thf(zip_derived_cl24, plain,
% 0.62/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.62/0.85 ( (output @ n1 @ (nand @ X5 @ X4) @ (nand @ X3 @ X2) @
% 0.62/0.85 (nand @ X1 @ X0))
% 0.62/0.85 | ~ (output @ n0 @ X4 @ X2 @ X0)
% 0.62/0.85 | ~ (output @ X6 @ X5 @ X3 @ X1))),
% 0.62/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl5])).
% 0.62/0.85 thf(zip_derived_cl36, plain,
% 0.62/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.62/0.85 ( (output @ n1 @ (nand @ X2 @ n1) @ (nand @ X1 @ n0) @
% 0.62/0.85 (nand @ X0 @ n1))
% 0.62/0.85 | ~ (output @ X3 @ X2 @ X1 @ X0))),
% 0.62/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl24])).
% 0.62/0.85 thf(zip_derived_cl23, plain, (![X0 : $i]: ((nand @ X0 @ n0) = (n1))),
% 0.62/0.85 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl3])).
% 0.62/0.85 thf(zip_derived_cl38, plain,
% 0.62/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.62/0.85 ( (output @ n1 @ (nand @ X2 @ n1) @ n1 @ (nand @ X0 @ n1))
% 0.62/0.85 | ~ (output @ X3 @ X2 @ X1 @ X0))),
% 0.62/0.85 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl23])).
% 0.62/0.85 thf(zip_derived_cl94, plain,
% 0.62/0.85 ( (output @ n1 @ (nand @ n1 @ n1) @ n1 @ (nand @ n1 @ n1))),
% 0.62/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl38])).
% 0.62/0.85 thf(and_definition2, axiom, (( and @ X @ n1 ) = ( X ))).
% 0.62/0.85 thf(zip_derived_cl2, plain, (![X0 : $i]: ((and @ X0 @ n1) = (X0))),
% 0.62/0.85 inference('cnf', [status(esa)], [and_definition2])).
% 0.62/0.85 thf(zip_derived_cl0, plain,
% 0.62/0.85 (![X0 : $i, X1 : $i]: ((nand @ X0 @ X1) = (not @ (and @ X0 @ X1)))),
% 0.62/0.85 inference('cnf', [status(esa)], [nand_definition])).
% 0.62/0.85 thf(zip_derived_cl21, plain, (![X0 : $i]: ((nand @ X0 @ n1) = (not @ X0))),
% 0.62/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.62/0.85 thf(not_definition2, axiom, (( not @ n1 ) = ( n0 ))).
% 0.62/0.85 thf(zip_derived_cl4, plain, (((not @ n1) = (n0))),
% 0.62/0.85 inference('cnf', [status(esa)], [not_definition2])).
% 0.62/0.85 thf(zip_derived_cl30, plain, (((nand @ n1 @ n1) = (n0))),
% 0.62/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl4])).
% 0.62/0.85 thf(zip_derived_cl30, plain, (((nand @ n1 @ n1) = (n0))),
% 0.62/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl4])).
% 0.62/0.85 thf(zip_derived_cl100, plain, ( (output @ n1 @ n0 @ n1 @ n0)),
% 0.62/0.85 inference('demod', [status(thm)],
% 0.62/0.85 [zip_derived_cl94, zip_derived_cl30, zip_derived_cl30])).
% 0.62/0.85 thf(input1, conjecture, (~( output @ n0 @ n0 @ n1 @ n1 ))).
% 0.62/0.85 thf(zf_stmt_2, negated_conjecture, (output @ n0 @ n0 @ n1 @ n1),
% 0.62/0.85 inference('cnf.neg', [status(esa)], [input1])).
% 0.62/0.85 thf(zip_derived_cl6, plain, ( (output @ n0 @ n0 @ n1 @ n1)),
% 0.62/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.62/0.85 thf(zip_derived_cl6, plain, ( (output @ n0 @ n0 @ n1 @ n1)),
% 0.62/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.62/0.85 thf(zip_derived_cl24, plain,
% 0.62/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.62/0.85 ( (output @ n1 @ (nand @ X5 @ X4) @ (nand @ X3 @ X2) @
% 0.62/0.85 (nand @ X1 @ X0))
% 0.62/0.85 | ~ (output @ n0 @ X4 @ X2 @ X0)
% 0.62/0.85 | ~ (output @ X6 @ X5 @ X3 @ X1))),
% 0.62/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl5])).
% 0.62/0.85 thf(zip_derived_cl35, plain,
% 0.62/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.62/0.85 ( (output @ n1 @ (nand @ X2 @ n0) @ (nand @ X1 @ n1) @
% 0.62/0.85 (nand @ X0 @ n1))
% 0.62/0.85 | ~ (output @ X3 @ X2 @ X1 @ X0))),
% 0.62/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl24])).
% 0.62/0.85 thf(zip_derived_cl23, plain, (![X0 : $i]: ((nand @ X0 @ n0) = (n1))),
% 0.62/0.85 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl3])).
% 0.62/0.85 thf(zip_derived_cl37, plain,
% 0.62/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.62/0.85 ( (output @ n1 @ n1 @ (nand @ X1 @ n1) @ (nand @ X0 @ n1))
% 0.62/0.85 | ~ (output @ X3 @ X2 @ X1 @ X0))),
% 0.62/0.85 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl23])).
% 0.62/0.85 thf(zip_derived_cl51, plain,
% 0.62/0.85 ( (output @ n1 @ n1 @ (nand @ n1 @ n1) @ (nand @ n1 @ n1))),
% 0.62/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl37])).
% 0.62/0.85 thf(zip_derived_cl30, plain, (((nand @ n1 @ n1) = (n0))),
% 0.62/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl4])).
% 0.62/0.85 thf(zip_derived_cl30, plain, (((nand @ n1 @ n1) = (n0))),
% 0.62/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl4])).
% 0.62/0.85 thf(zip_derived_cl53, plain, ( (output @ n1 @ n1 @ n0 @ n0)),
% 0.62/0.85 inference('demod', [status(thm)],
% 0.62/0.85 [zip_derived_cl51, zip_derived_cl30, zip_derived_cl30])).
% 0.62/0.85 thf(zip_derived_cl23, plain, (![X0 : $i]: ((nand @ X0 @ n0) = (n1))),
% 0.62/0.85 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl3])).
% 0.62/0.85 thf(zip_derived_cl5, plain,
% 0.62/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.62/0.85 ( (output @ (nand @ X0 @ X1) @ (nand @ X2 @ X3) @ (nand @ X4 @ X5) @
% 0.62/0.85 (nand @ X6 @ X7))
% 0.62/0.85 | ~ (output @ X1 @ X3 @ X5 @ X7)
% 0.62/0.85 | ~ (output @ X0 @ X2 @ X4 @ X6))),
% 0.62/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.62/0.85 thf(zip_derived_cl26, plain,
% 0.62/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.62/0.85 ( (output @ (nand @ X6 @ X5) @ (nand @ X4 @ X3) @ n1 @
% 0.62/0.85 (nand @ X1 @ X0))
% 0.62/0.85 | ~ (output @ X5 @ X3 @ n0 @ X0)
% 0.62/0.85 | ~ (output @ X6 @ X4 @ X2 @ X1))),
% 0.62/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl5])).
% 0.62/0.85 thf(zip_derived_cl85, plain,
% 0.62/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.62/0.85 ( (output @ (nand @ X2 @ n1) @ (nand @ X1 @ n1) @ n1 @
% 0.62/0.85 (nand @ X0 @ n0))
% 0.62/0.85 | ~ (output @ X2 @ X1 @ X3 @ X0))),
% 0.62/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl26])).
% 0.62/0.85 thf(zip_derived_cl23, plain, (![X0 : $i]: ((nand @ X0 @ n0) = (n1))),
% 0.62/0.85 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl3])).
% 0.62/0.85 thf(zip_derived_cl87, plain,
% 0.62/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.62/0.85 ( (output @ (nand @ X2 @ n1) @ (nand @ X1 @ n1) @ n1 @ n1)
% 0.62/0.85 | ~ (output @ X2 @ X1 @ X3 @ X0))),
% 0.62/0.85 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl23])).
% 0.62/0.85 thf(zip_derived_cl163, plain,
% 0.62/0.85 ( (output @ (nand @ n1 @ n1) @ (nand @ n0 @ n1) @ n1 @ n1)),
% 0.62/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl87])).
% 0.62/0.85 thf(zip_derived_cl30, plain, (((nand @ n1 @ n1) = (n0))),
% 0.62/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl4])).
% 0.62/0.85 thf(zip_derived_cl21, plain, (![X0 : $i]: ((nand @ X0 @ n1) = (not @ X0))),
% 0.62/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.62/0.85 thf(zip_derived_cl3, plain, (((not @ n0) = (n1))),
% 0.62/0.85 inference('cnf', [status(esa)], [not_definition1])).
% 0.62/0.85 thf(zip_derived_cl29, plain, (((nand @ n0 @ n1) = (n1))),
% 0.62/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl3])).
% 0.62/0.85 thf(prove_cannot_make_or, conjecture, (output @ n0 @ n1 @ n1 @ n1)).
% 0.62/0.85 thf(zf_stmt_3, negated_conjecture, (~( output @ n0 @ n1 @ n1 @ n1 )),
% 0.62/0.85 inference('cnf.neg', [status(esa)], [prove_cannot_make_or])).
% 0.62/0.85 thf(zip_derived_cl8, plain, (~ (output @ n0 @ n1 @ n1 @ n1)),
% 0.62/0.85 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.62/0.85 thf(zip_derived_cl172, plain, ($false),
% 0.62/0.85 inference('demod', [status(thm)],
% 0.62/0.85 [zip_derived_cl163, zip_derived_cl30, zip_derived_cl29,
% 0.62/0.85 zip_derived_cl8])).
% 0.62/0.85
% 0.62/0.85 % SZS output end Refutation
% 0.62/0.85
% 0.62/0.85
% 0.62/0.85 % Terminating...
% 0.66/0.93 % Runner terminated.
% 0.66/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------