%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HWC003-2 : TPTP v9.2.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EWiWnRuEMW true
% Computer : n001.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 0.68s 1.01s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : HWC003-2 : TPTP v9.2.0. Released v1.1.0.
% 0.15/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EWiWnRuEMW true
% 0.16/0.37 % Computer : n001.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Oct 1 15:21:38 EDT 2025
% 0.16/0.38 % CPUTime :
% 0.16/0.38 % Running portfolio for 300 s
% 0.16/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.38 % Number of cores: 8
% 0.16/0.38 % Python version: Python 3.6.8
% 0.16/0.38 % Running in FO mode
% 0.63/0.71 % Total configuration time : 435
% 0.63/0.71 % Estimated wc time : 1092
% 0.63/0.71 % Estimated cpu time (7 cpus) : 156.0
% 0.67/0.79 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.67/0.81 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.67/0.84 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.67/0.84 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.67/0.84 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.67/0.85 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.67/0.86 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.68/0.89 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.68/1.01 % Solved by fo/fo3_bce.sh.
% 0.68/1.01 % BCE start: 25
% 0.68/1.01 % BCE eliminated: 0
% 0.68/1.01 % PE start: 25
% 0.68/1.01 logic: eq
% 0.68/1.01 % PE eliminated: 1
% 0.68/1.01 % done 52 iterations in 0.182s
% 0.68/1.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.68/1.01 % SZS output start Refutation
% 0.68/1.01 thf(n1_type, type, n1: $i).
% 0.68/1.01 thf(output_type, type, output: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 0.68/1.01 thf(n0_type, type, n0: $i).
% 0.68/1.01 thf(list_type, type, list: $i > $i > $i).
% 0.68/1.01 thf(basic_output_type, type, basic_output: $i > $i > $i > $i > $i > $i >
% 0.68/1.01 $i > $i > $i > $o).
% 0.68/1.01 thf(inverter_table_type, type, inverter_table: $i > $i > $i > $i > $i > $i >
% 0.68/1.01 $i > $i > $i).
% 0.68/1.01 thf(not_type, type, not: $i > $i).
% 0.68/1.01 thf(make_reverse_list_type, type, make_reverse_list: $i > $i).
% 0.68/1.01 thf(add_inverter_type, type, add_inverter: $i > $i > $i).
% 0.68/1.01 thf(test_type, type, test: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 0.68/1.01 thf(add_inverter_definition1, axiom,
% 0.68/1.01 (( add_inverter @ ( list @ X @ Y ) @ Z ) =
% 0.68/1.01 ( list @ X @ ( add_inverter @ Y @ Z ) ))).
% 0.68/1.01 thf(zip_derived_cl6, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.68/1.01 ((add_inverter @ (list @ X0 @ X1) @ X2)
% 0.68/1.01 = (list @ X0 @ (add_inverter @ X1 @ X2)))),
% 0.68/1.01 inference('cnf', [status(esa)], [add_inverter_definition1])).
% 0.68/1.01 thf(add_inverter_definition2, axiom,
% 0.68/1.01 (( add_inverter @ X @ Y ) = ( list @ Y @ X ))).
% 0.68/1.01 thf(zip_derived_cl7, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i]: ((add_inverter @ X1 @ X0) = (list @ X0 @ X1))),
% 0.68/1.01 inference('cnf', [status(esa)], [add_inverter_definition2])).
% 0.68/1.01 thf(zip_derived_cl62, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.68/1.01 ((add_inverter @ (add_inverter @ X1 @ X0) @ X2)
% 0.68/1.01 = (list @ X0 @ (add_inverter @ X1 @ X2)))),
% 0.68/1.01 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 0.68/1.01 thf(zip_derived_cl7, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i]: ((add_inverter @ X1 @ X0) = (list @ X0 @ X1))),
% 0.68/1.01 inference('cnf', [status(esa)], [add_inverter_definition2])).
% 0.68/1.01 thf(zip_derived_cl63, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.68/1.01 ((add_inverter @ (add_inverter @ X2 @ X0) @ X1)
% 0.68/1.01 = (add_inverter @ (add_inverter @ X2 @ X1) @ X0))),
% 0.68/1.01 inference('sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl7])).
% 0.68/1.01 thf(zip_derived_cl63, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.68/1.01 ((add_inverter @ (add_inverter @ X2 @ X0) @ X1)
% 0.68/1.01 = (add_inverter @ (add_inverter @ X2 @ X1) @ X0))),
% 0.68/1.01 inference('sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl7])).
% 0.68/1.01 thf(zip_derived_cl63, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.68/1.01 ((add_inverter @ (add_inverter @ X2 @ X0) @ X1)
% 0.68/1.01 = (add_inverter @ (add_inverter @ X2 @ X1) @ X0))),
% 0.68/1.01 inference('sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl7])).
% 0.68/1.01 thf(input1, conjecture,
% 0.68/1.01 (~( output @ n0 @ n0 @ n0 @ n0 @ n1 @ n1 @ n1 @ n1 @ X ))).
% 0.68/1.01 thf(zf_stmt_0, negated_conjecture,
% 0.68/1.01 (output @ n0 @ n0 @ n0 @ n0 @ n1 @ n1 @ n1 @ n1 @ X),
% 0.68/1.01 inference('cnf.neg', [status(esa)], [input1])).
% 0.68/1.01 thf(zip_derived_cl21, plain,
% 0.68/1.01 (![X0 : $i]: (output @ n0 @ n0 @ n0 @ n0 @ n1 @ n1 @ n1 @ n1 @ X0)),
% 0.68/1.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.68/1.01 thf(inverter_test, axiom,
% 0.68/1.01 (( ~( output @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ V ) ) |
% 0.68/1.01 ( test @
% 0.68/1.01 ( not @ X1 ) @ ( not @ X2 ) @ ( not @ X3 ) @ ( not @ X4 ) @
% 0.68/1.01 ( not @ X5 ) @ ( not @ X6 ) @ ( not @ X7 ) @ ( not @ X8 ) @
% 0.68/1.01 ( add_inverter @
% 0.68/1.01 V @
% 0.68/1.01 ( inverter_table @
% 0.68/1.01 ( not @ X1 ) @ ( not @ X2 ) @ ( not @ X3 ) @ ( not @ X4 ) @
% 0.68/1.01 ( not @ X5 ) @ ( not @ X6 ) @ ( not @ X7 ) @ ( not @ X8 ) ) ) @
% 0.68/1.01 ( make_reverse_list @
% 0.68/1.01 ( list @
% 0.68/1.01 ( inverter_table @
% 0.68/1.01 ( not @ X1 ) @ ( not @ X2 ) @ ( not @ X3 ) @ ( not @ X4 ) @
% 0.68/1.01 ( not @ X5 ) @ ( not @ X6 ) @ ( not @ X7 ) @ ( not @ X8 ) ) @
% 0.68/1.01 V ) ) ))).
% 0.68/1.01 thf(zip_derived_cl18, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.68/1.01 X7 : $i, X8 : $i]:
% 0.68/1.01 (~ (output @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8)
% 0.68/1.01 | (test @ (not @ X0) @ (not @ X1) @ (not @ X2) @ (not @ X3) @
% 0.68/1.01 (not @ X4) @ (not @ X5) @ (not @ X6) @ (not @ X7) @
% 0.68/1.01 (add_inverter @ X8 @
% 0.68/1.01 (inverter_table @ (not @ X0) @ (not @ X1) @ (not @ X2) @
% 0.68/1.01 (not @ X3) @ (not @ X4) @ (not @ X5) @ (not @ X6) @ (not @ X7))) @
% 0.68/1.01 (make_reverse_list @
% 0.68/1.01 (list @
% 0.68/1.01 (inverter_table @ (not @ X0) @ (not @ X1) @ (not @ X2) @
% 0.68/1.01 (not @ X3) @ (not @ X4) @ (not @ X5) @ (not @ X6) @ (not @ X7)) @
% 0.68/1.01 X8))))),
% 0.68/1.01 inference('cnf', [status(esa)], [inverter_test])).
% 0.68/1.01 thf(create_test, axiom,
% 0.68/1.01 (( ~( test @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ V @ Xrevlist ) ) |
% 0.68/1.01 ( basic_output @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ V ))).
% 0.68/1.01 thf(zip_derived_cl20, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.68/1.01 X7 : $i, X8 : $i, X9 : $i]:
% 0.68/1.01 (~ (test @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9)
% 0.68/1.01 | (basic_output @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8))),
% 0.68/1.01 inference('cnf', [status(esa)], [create_test])).
% 0.68/1.01 thf(zip_derived_cl61, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.68/1.01 X7 : $i, X8 : $i]:
% 0.68/1.01 (~ (output @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 0.68/1.01 | (basic_output @ (not @ X8) @ (not @ X7) @ (not @ X6) @
% 0.68/1.01 (not @ X5) @ (not @ X4) @ (not @ X3) @ (not @ X2) @ (not @ X1) @
% 0.68/1.01 (add_inverter @ X0 @
% 0.68/1.01 (inverter_table @ (not @ X8) @ (not @ X7) @ (not @ X6) @
% 0.68/1.01 (not @ X5) @ (not @ X4) @ (not @ X3) @ (not @ X2) @ (not @ X1)))))),
% 0.68/1.01 inference('dp-resolution', [status(thm)],
% 0.68/1.01 [zip_derived_cl18, zip_derived_cl20])).
% 0.68/1.01 thf(zip_derived_cl213, plain,
% 0.68/1.01 (![X0 : $i]:
% 0.68/1.01 (basic_output @ (not @ n0) @ (not @ n0) @ (not @ n0) @ (not @ n0) @
% 0.68/1.01 (not @ n1) @ (not @ n1) @ (not @ n1) @ (not @ n1) @
% 0.68/1.01 (add_inverter @ X0 @
% 0.68/1.01 (inverter_table @ (not @ n0) @ (not @ n0) @ (not @ n0) @
% 0.68/1.01 (not @ n0) @ (not @ n1) @ (not @ n1) @ (not @ n1) @ (not @ n1))))),
% 0.68/1.01 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl61])).
% 0.68/1.01 thf(not_definition1, axiom, (( not @ n0 ) = ( n1 ))).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(not_definition2, axiom, (( not @ n1 ) = ( n0 ))).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl216, plain,
% 0.68/1.01 (![X0 : $i]:
% 0.68/1.01 (basic_output @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @
% 0.68/1.01 (add_inverter @ X0 @
% 0.68/1.01 (inverter_table @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0)))),
% 0.68/1.01 inference('demod', [status(thm)],
% 0.68/1.01 [zip_derived_cl213, zip_derived_cl4, zip_derived_cl4,
% 0.68/1.01 zip_derived_cl4, zip_derived_cl4, zip_derived_cl5,
% 0.68/1.01 zip_derived_cl5, zip_derived_cl5, zip_derived_cl5,
% 0.68/1.01 zip_derived_cl4, zip_derived_cl4, zip_derived_cl4,
% 0.68/1.01 zip_derived_cl4, zip_derived_cl5, zip_derived_cl5,
% 0.68/1.01 zip_derived_cl5, zip_derived_cl5])).
% 0.68/1.01 thf(basic_output_definition, axiom,
% 0.68/1.01 (( ~( basic_output @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ V ) ) |
% 0.68/1.01 ( output @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ V ))).
% 0.68/1.01 thf(zip_derived_cl19, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.68/1.01 X7 : $i, X8 : $i]:
% 0.68/1.01 (~ (basic_output @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8)
% 0.68/1.01 | (output @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8))),
% 0.68/1.01 inference('cnf', [status(esa)], [basic_output_definition])).
% 0.68/1.01 thf(prove_cannot_construct_this, conjecture,
% 0.68/1.01 (~( ( ~( output @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ V ) ) |
% 0.68/1.01 ( ~( output @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ n0 @ n0 @ V ) ) |
% 0.68/1.01 ( ~( output @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ V ) ) ))).
% 0.68/1.01 thf(zf_stmt_1, negated_conjecture,
% 0.68/1.01 (( ~( output @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ V ) ) |
% 0.68/1.01 ( ~( output @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ n0 @ n0 @ V ) ) |
% 0.68/1.01 ( ~( output @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ V ) )),
% 0.68/1.01 inference('cnf.neg', [status(esa)], [prove_cannot_construct_this])).
% 0.68/1.01 thf(zip_derived_cl24, plain,
% 0.68/1.01 (![X0 : $i]:
% 0.68/1.01 (~ (output @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ X0)
% 0.68/1.01 | ~ (output @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ n0 @ n0 @ X0)
% 0.68/1.01 | ~ (output @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ X0))),
% 0.68/1.01 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.68/1.01 thf(zip_derived_cl90, plain,
% 0.68/1.01 (![X0 : $i]:
% 0.68/1.01 (~ (basic_output @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ X0)
% 0.68/1.01 | ~ (output @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ n0 @ n0 @ X0)
% 0.68/1.01 | ~ (output @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ X0))),
% 0.68/1.01 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl24])).
% 0.68/1.01 thf(zip_derived_cl19, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.68/1.01 X7 : $i, X8 : $i]:
% 0.68/1.01 (~ (basic_output @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8)
% 0.68/1.01 | (output @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8))),
% 0.68/1.01 inference('cnf', [status(esa)], [basic_output_definition])).
% 0.68/1.01 thf(zip_derived_cl92, plain,
% 0.68/1.01 (![X0 : $i]:
% 0.68/1.01 (~ (output @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ X0)
% 0.68/1.01 | ~ (basic_output @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ X0)
% 0.68/1.01 | ~ (basic_output @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ n0 @ n0 @ X0))),
% 0.68/1.01 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl19])).
% 0.68/1.01 thf(zip_derived_cl19, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.68/1.01 X7 : $i, X8 : $i]:
% 0.68/1.01 (~ (basic_output @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8)
% 0.68/1.01 | (output @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8))),
% 0.68/1.01 inference('cnf', [status(esa)], [basic_output_definition])).
% 0.68/1.01 thf(zip_derived_cl94, plain,
% 0.68/1.01 (![X0 : $i]:
% 0.68/1.01 (~ (basic_output @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ n0 @ n0 @ X0)
% 0.68/1.01 | ~ (basic_output @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ X0)
% 0.68/1.01 | ~ (basic_output @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ X0))),
% 0.68/1.01 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl19])).
% 0.68/1.01 thf(zip_derived_cl222, plain,
% 0.68/1.01 (![X0 : $i]:
% 0.68/1.01 (~ (basic_output @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @
% 0.68/1.01 (add_inverter @ X0 @
% 0.68/1.01 (inverter_table @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0)))
% 0.68/1.01 | ~ (basic_output @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ n0 @ n0 @
% 0.68/1.01 (add_inverter @ X0 @
% 0.68/1.01 (inverter_table @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0))))),
% 0.68/1.01 inference('sup-', [status(thm)], [zip_derived_cl216, zip_derived_cl94])).
% 0.68/1.01 thf(zip_derived_cl226, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i]:
% 0.68/1.01 (~ (basic_output @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ n0 @ n0 @
% 0.68/1.01 (add_inverter @
% 0.68/1.01 (add_inverter @ X1 @
% 0.68/1.01 (inverter_table @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0)) @
% 0.68/1.01 X0))
% 0.68/1.01 | ~ (basic_output @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @
% 0.68/1.01 (add_inverter @ (add_inverter @ X1 @ X0) @
% 0.68/1.01 (inverter_table @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0))))),
% 0.68/1.01 inference('sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl222])).
% 0.68/1.01 thf(input2, conjecture,
% 0.68/1.01 (~( output @ n0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ X ))).
% 0.68/1.01 thf(zf_stmt_2, negated_conjecture,
% 0.68/1.01 (output @ n0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ X),
% 0.68/1.01 inference('cnf.neg', [status(esa)], [input2])).
% 0.68/1.01 thf(zip_derived_cl22, plain,
% 0.68/1.01 (![X0 : $i]: (output @ n0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ X0)),
% 0.68/1.01 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.68/1.01 thf(zip_derived_cl61, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.68/1.01 X7 : $i, X8 : $i]:
% 0.68/1.01 (~ (output @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 0.68/1.01 | (basic_output @ (not @ X8) @ (not @ X7) @ (not @ X6) @
% 0.68/1.01 (not @ X5) @ (not @ X4) @ (not @ X3) @ (not @ X2) @ (not @ X1) @
% 0.68/1.01 (add_inverter @ X0 @
% 0.68/1.01 (inverter_table @ (not @ X8) @ (not @ X7) @ (not @ X6) @
% 0.68/1.01 (not @ X5) @ (not @ X4) @ (not @ X3) @ (not @ X2) @ (not @ X1)))))),
% 0.68/1.01 inference('dp-resolution', [status(thm)],
% 0.68/1.01 [zip_derived_cl18, zip_derived_cl20])).
% 0.68/1.01 thf(zip_derived_cl214, plain,
% 0.68/1.01 (![X0 : $i]:
% 0.68/1.01 (basic_output @ (not @ n0) @ (not @ n0) @ (not @ n1) @ (not @ n1) @
% 0.68/1.01 (not @ n0) @ (not @ n0) @ (not @ n1) @ (not @ n1) @
% 0.68/1.01 (add_inverter @ X0 @
% 0.68/1.01 (inverter_table @ (not @ n0) @ (not @ n0) @ (not @ n1) @
% 0.68/1.01 (not @ n1) @ (not @ n0) @ (not @ n0) @ (not @ n1) @ (not @ n1))))),
% 0.68/1.01 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl61])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl217, plain,
% 0.68/1.01 (![X0 : $i]:
% 0.68/1.01 (basic_output @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ n0 @ n0 @
% 0.68/1.01 (add_inverter @ X0 @
% 0.68/1.01 (inverter_table @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ n0 @ n0)))),
% 0.68/1.01 inference('demod', [status(thm)],
% 0.68/1.01 [zip_derived_cl214, zip_derived_cl4, zip_derived_cl4,
% 0.68/1.01 zip_derived_cl5, zip_derived_cl5, zip_derived_cl4,
% 0.68/1.01 zip_derived_cl4, zip_derived_cl5, zip_derived_cl5,
% 0.68/1.01 zip_derived_cl4, zip_derived_cl4, zip_derived_cl5,
% 0.68/1.01 zip_derived_cl5, zip_derived_cl4, zip_derived_cl4,
% 0.68/1.01 zip_derived_cl5, zip_derived_cl5])).
% 0.68/1.01 thf(zip_derived_cl252, plain,
% 0.68/1.01 (![X0 : $i]:
% 0.68/1.01 ~ (basic_output @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @
% 0.68/1.01 (add_inverter @
% 0.68/1.01 (add_inverter @ X0 @
% 0.68/1.01 (inverter_table @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ n0 @ n0)) @
% 0.68/1.01 (inverter_table @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0)))),
% 0.68/1.01 inference('sup+', [status(thm)], [zip_derived_cl226, zip_derived_cl217])).
% 0.68/1.01 thf(zip_derived_cl258, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i]:
% 0.68/1.01 ~ (basic_output @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @
% 0.68/1.01 (add_inverter @
% 0.68/1.01 (add_inverter @
% 0.68/1.01 (add_inverter @ X1 @
% 0.68/1.01 (inverter_table @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ n0 @ n0)) @
% 0.68/1.01 X0) @
% 0.68/1.01 (inverter_table @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0)))),
% 0.68/1.01 inference('sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl252])).
% 0.68/1.01 thf(zip_derived_cl260, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i]:
% 0.68/1.01 ~ (basic_output @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @
% 0.68/1.01 (add_inverter @
% 0.68/1.01 (add_inverter @
% 0.68/1.01 (add_inverter @ X1 @
% 0.68/1.01 (inverter_table @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ n0 @ n0)) @
% 0.68/1.01 (inverter_table @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0)) @
% 0.68/1.01 X0))),
% 0.68/1.01 inference('sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl258])).
% 0.68/1.01 thf(input3, conjecture,
% 0.68/1.01 (~( output @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ X ))).
% 0.68/1.01 thf(zf_stmt_3, negated_conjecture,
% 0.68/1.01 (output @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ X),
% 0.68/1.01 inference('cnf.neg', [status(esa)], [input3])).
% 0.68/1.01 thf(zip_derived_cl23, plain,
% 0.68/1.01 (![X0 : $i]: (output @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ X0)),
% 0.68/1.01 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.68/1.01 thf(zip_derived_cl61, plain,
% 0.68/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.68/1.01 X7 : $i, X8 : $i]:
% 0.68/1.01 (~ (output @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 0.68/1.01 | (basic_output @ (not @ X8) @ (not @ X7) @ (not @ X6) @
% 0.68/1.01 (not @ X5) @ (not @ X4) @ (not @ X3) @ (not @ X2) @ (not @ X1) @
% 0.68/1.01 (add_inverter @ X0 @
% 0.68/1.01 (inverter_table @ (not @ X8) @ (not @ X7) @ (not @ X6) @
% 0.68/1.01 (not @ X5) @ (not @ X4) @ (not @ X3) @ (not @ X2) @ (not @ X1)))))),
% 0.68/1.01 inference('dp-resolution', [status(thm)],
% 0.68/1.01 [zip_derived_cl18, zip_derived_cl20])).
% 0.68/1.01 thf(zip_derived_cl215, plain,
% 0.68/1.01 (![X0 : $i]:
% 0.68/1.01 (basic_output @ (not @ n0) @ (not @ n1) @ (not @ n0) @ (not @ n1) @
% 0.68/1.01 (not @ n0) @ (not @ n1) @ (not @ n0) @ (not @ n1) @
% 0.68/1.01 (add_inverter @ X0 @
% 0.68/1.01 (inverter_table @ (not @ n0) @ (not @ n1) @ (not @ n0) @
% 0.68/1.01 (not @ n1) @ (not @ n0) @ (not @ n1) @ (not @ n0) @ (not @ n1))))),
% 0.68/1.01 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl61])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl4, plain, (((not @ n0) = (n1))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition1])).
% 0.68/1.01 thf(zip_derived_cl5, plain, (((not @ n1) = (n0))),
% 0.68/1.01 inference('cnf', [status(esa)], [not_definition2])).
% 0.68/1.01 thf(zip_derived_cl218, plain,
% 0.68/1.01 (![X0 : $i]:
% 0.68/1.01 (basic_output @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @
% 0.68/1.01 (add_inverter @ X0 @
% 0.68/1.01 (inverter_table @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0)))),
% 0.68/1.01 inference('demod', [status(thm)],
% 0.68/1.01 [zip_derived_cl215, zip_derived_cl4, zip_derived_cl5,
% 0.68/1.01 zip_derived_cl4, zip_derived_cl5, zip_derived_cl4,
% 0.68/1.01 zip_derived_cl5, zip_derived_cl4, zip_derived_cl5,
% 0.68/1.01 zip_derived_cl4, zip_derived_cl5, zip_derived_cl4,
% 0.68/1.01 zip_derived_cl5, zip_derived_cl4, zip_derived_cl5,
% 0.68/1.01 zip_derived_cl4, zip_derived_cl5])).
% 0.68/1.01 thf(zip_derived_cl284, plain, ($false),
% 0.68/1.01 inference('sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl218])).
% 0.68/1.01
% 0.68/1.01 % SZS output end Refutation
% 0.68/1.01
% 0.68/1.01
% 0.68/1.02 % Terminating...
% 2.98/1.12 % Runner terminated.
% 2.98/1.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------