%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN353-1 : TPTP v9.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.V8gEyaRHgv true
% Computer : n027.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 05:04:34 PM UTC 2025
% Result : Unsatisfiable 0.46s 0.75s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN353-1 : TPTP v9.2.0. Released v1.2.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.V8gEyaRHgv true
% 0.11/0.31 % Computer : n027.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Oct 1 13:33:38 EDT 2025
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31 % Number of cores: 8
% 0.15/0.31 % Python version: Python 3.6.8
% 0.15/0.31 % Running in FO mode
% 0.15/0.55 % Total configuration time : 435
% 0.15/0.55 % Estimated wc time : 1092
% 0.15/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.64 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.65 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.66 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.67 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.67 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.67 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.68 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.46/0.75 % Solved by fo/fo3_bce.sh.
% 0.46/0.75 % BCE start: 17
% 0.46/0.75 % BCE eliminated: 0
% 0.46/0.75 % PE start: 17
% 0.46/0.75 logic: neq
% 0.46/0.75 % PE eliminated: 0
% 0.46/0.75 % done 138 iterations in 0.074s
% 0.46/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.46/0.75 % SZS output start Refutation
% 0.46/0.75 thf(f_type, type, f: $i > $i > $i > $o).
% 0.46/0.75 thf(z_type, type, z: $i > $i > $i > $i).
% 0.46/0.75 thf(a_type, type, a: $i).
% 0.46/0.75 thf(clause17, conjecture,
% 0.46/0.75 (~( ( ~( f @
% 0.46/0.75 ( z @ Y1 @ Y2 @ Y3 ) @ ( z @ Y1 @ Y2 @ Y3 ) @ ( z @ Y1 @ Y2 @ Y3 ) ) ) |
% 0.46/0.75 ( ~( f @ Y3 @ Y1 @ Y2 ) ) | ( ~( f @ Y2 @ Y3 @ Y1 ) ) |
% 0.46/0.75 ( ~( f @ Y1 @ Y2 @ Y3 ) ) ))).
% 0.46/0.75 thf(zf_stmt_0, negated_conjecture,
% 0.46/0.75 (( ~( f @
% 0.46/0.75 ( z @ Y1 @ Y2 @ Y3 ) @ ( z @ Y1 @ Y2 @ Y3 ) @ ( z @ Y1 @ Y2 @ Y3 ) ) ) |
% 0.46/0.75 ( ~( f @ Y3 @ Y1 @ Y2 ) ) | ( ~( f @ Y2 @ Y3 @ Y1 ) ) |
% 0.46/0.75 ( ~( f @ Y1 @ Y2 @ Y3 ) )),
% 0.46/0.75 inference('cnf.neg', [status(esa)], [clause17])).
% 0.46/0.75 thf(zip_derived_cl16, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 (~ (f @ (z @ X0 @ X1 @ X2) @ (z @ X0 @ X1 @ X2) @ (z @ X0 @ X1 @ X2))
% 0.46/0.75 | ~ (f @ X2 @ X0 @ X1)
% 0.46/0.75 | ~ (f @ X1 @ X2 @ X0)
% 0.46/0.75 | ~ (f @ X0 @ X1 @ X2))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.46/0.75 thf(clause10, conjecture,
% 0.46/0.75 (~( ( ~( f @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 @ Y1 ) ) | ( f @ Y1 @ Y2 @ Y3 ) |
% 0.46/0.75 ( f @ Y3 @ Y1 @ Y2 ) ))).
% 0.46/0.75 thf(zf_stmt_1, negated_conjecture,
% 0.46/0.75 (( ~( f @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 @ Y1 ) ) | ( f @ Y1 @ Y2 @ Y3 ) |
% 0.46/0.75 ( f @ Y3 @ Y1 @ Y2 )),
% 0.46/0.75 inference('cnf.neg', [status(esa)], [clause10])).
% 0.46/0.75 thf(zip_derived_cl9, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 (~ (f @ (z @ X0 @ X1 @ X2) @ X1 @ X0)
% 0.46/0.75 | (f @ X0 @ X1 @ X2)
% 0.46/0.75 | (f @ X2 @ X0 @ X1))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.46/0.75 thf(clause12, conjecture,
% 0.46/0.75 (~( ( f @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 @ Y1 ) | ( ~( f @ Y2 @ Y3 @ Y1 ) ) |
% 0.46/0.75 ( ~( f @ Y3 @ Y1 @ Y2 ) ) ))).
% 0.46/0.75 thf(zf_stmt_2, negated_conjecture,
% 0.46/0.75 (( f @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 @ Y1 ) | ( ~( f @ Y2 @ Y3 @ Y1 ) ) |
% 0.46/0.75 ( ~( f @ Y3 @ Y1 @ Y2 ) )),
% 0.46/0.75 inference('cnf.neg', [status(esa)], [clause12])).
% 0.46/0.75 thf(zip_derived_cl11, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ (z @ X0 @ X1 @ X2) @ X1 @ X0)
% 0.46/0.75 | ~ (f @ X1 @ X2 @ X0)
% 0.46/0.75 | ~ (f @ X2 @ X0 @ X1))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.46/0.75 thf(clause1, conjecture,
% 0.46/0.75 (~( ( f @ Y3 @ Y1 @ Y2 ) | ( f @ Y2 @ Y3 @ Y1 ) |
% 0.46/0.75 ( ~( f @ a @ a @ ( z @ Y1 @ Y2 @ Y3 ) ) ) | ( ~( f @ Y1 @ Y2 @ Y3 ) ) ))).
% 0.46/0.75 thf(zf_stmt_3, negated_conjecture,
% 0.46/0.75 (( f @ Y3 @ Y1 @ Y2 ) | ( f @ Y2 @ Y3 @ Y1 ) |
% 0.46/0.75 ( ~( f @ a @ a @ ( z @ Y1 @ Y2 @ Y3 ) ) ) | ( ~( f @ Y1 @ Y2 @ Y3 ) )),
% 0.46/0.75 inference('cnf.neg', [status(esa)], [clause1])).
% 0.46/0.75 thf(zip_derived_cl0, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ X1 @ X2)
% 0.46/0.75 | (f @ X2 @ X0 @ X1)
% 0.46/0.75 | ~ (f @ a @ a @ (z @ X1 @ X2 @ X0))
% 0.46/0.75 | ~ (f @ X1 @ X2 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.46/0.75 thf(zip_derived_cl11, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ (z @ X0 @ X1 @ X2) @ X1 @ X0)
% 0.46/0.75 | ~ (f @ X1 @ X2 @ X0)
% 0.46/0.75 | ~ (f @ X2 @ X0 @ X1))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.46/0.75 thf(clause2, conjecture,
% 0.46/0.75 (~( ( ~( f @ Y2 @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) ) ) | ( f @ Y1 @ Y2 @ Y3 ) |
% 0.46/0.75 ( ~( f @ Y3 @ Y1 @ Y2 ) ) ))).
% 0.46/0.75 thf(zf_stmt_4, negated_conjecture,
% 0.46/0.75 (( ~( f @ Y2 @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) ) ) | ( f @ Y1 @ Y2 @ Y3 ) |
% 0.46/0.75 ( ~( f @ Y3 @ Y1 @ Y2 ) )),
% 0.46/0.75 inference('cnf.neg', [status(esa)], [clause2])).
% 0.46/0.75 thf(zip_derived_cl1, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 (~ (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2))
% 0.46/0.75 | (f @ X1 @ X0 @ X2)
% 0.46/0.75 | ~ (f @ X2 @ X1 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.46/0.75 thf(clause11, conjecture,
% 0.46/0.75 (~( ( ~( f @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 @ Y1 ) ) | ( f @ Y1 @ Y2 @ Y3 ) |
% 0.46/0.75 ( f @ Y2 @ Y3 @ Y1 ) ))).
% 0.46/0.75 thf(zf_stmt_5, negated_conjecture,
% 0.46/0.75 (( ~( f @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 @ Y1 ) ) | ( f @ Y1 @ Y2 @ Y3 ) |
% 0.46/0.75 ( f @ Y2 @ Y3 @ Y1 )),
% 0.46/0.75 inference('cnf.neg', [status(esa)], [clause11])).
% 0.46/0.75 thf(zip_derived_cl10, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 (~ (f @ (z @ X0 @ X1 @ X2) @ X1 @ X0)
% 0.46/0.75 | (f @ X0 @ X1 @ X2)
% 0.46/0.75 | (f @ X1 @ X2 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.46/0.75 thf(clause8, conjecture,
% 0.46/0.75 (~( ( f @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 ) | ( f @ Y2 @ Y3 @ Y1 ) ))).
% 0.46/0.75 thf(zf_stmt_6, negated_conjecture,
% 0.46/0.75 (( f @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 ) | ( f @ Y2 @ Y3 @ Y1 )),
% 0.46/0.75 inference('cnf.neg', [status(esa)], [clause8])).
% 0.46/0.75 thf(zip_derived_cl7, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1) | (f @ X1 @ X2 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.46/0.75 thf(clause6, conjecture,
% 0.46/0.75 (~( ( ~( f @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 ) ) | ( f @ Y1 @ Y2 @ Y3 ) |
% 0.46/0.75 ( ~( f @ Y2 @ Y3 @ Y1 ) ) ))).
% 0.46/0.75 thf(zf_stmt_7, negated_conjecture,
% 0.46/0.75 (( ~( f @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 ) ) | ( f @ Y1 @ Y2 @ Y3 ) |
% 0.46/0.75 ( ~( f @ Y2 @ Y3 @ Y1 ) )),
% 0.46/0.75 inference('cnf.neg', [status(esa)], [clause6])).
% 0.46/0.75 thf(zip_derived_cl5, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 (~ (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 0.46/0.75 | (f @ X0 @ X1 @ X2)
% 0.46/0.75 | ~ (f @ X1 @ X2 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.46/0.75 thf(zip_derived_cl9, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 (~ (f @ (z @ X0 @ X1 @ X2) @ X1 @ X0)
% 0.46/0.75 | (f @ X0 @ X1 @ X2)
% 0.46/0.75 | (f @ X2 @ X0 @ X1))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.46/0.75 thf(clause4, conjecture,
% 0.46/0.75 (~( ( f @ Y2 @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) ) | ( f @ Y3 @ Y1 @ Y2 ) ))).
% 0.46/0.75 thf(zf_stmt_8, negated_conjecture,
% 0.46/0.75 (( f @ Y2 @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) ) | ( f @ Y3 @ Y1 @ Y2 )),
% 0.46/0.75 inference('cnf.neg', [status(esa)], [clause4])).
% 0.46/0.75 thf(zip_derived_cl3, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2)) | (f @ X2 @ X1 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.46/0.75 thf(zip_derived_cl3, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2)) | (f @ X2 @ X1 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.46/0.75 thf(zip_derived_cl0, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ X1 @ X2)
% 0.46/0.75 | (f @ X2 @ X0 @ X1)
% 0.46/0.75 | ~ (f @ a @ a @ (z @ X1 @ X2 @ X0))
% 0.46/0.75 | ~ (f @ X1 @ X2 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.46/0.75 thf(zip_derived_cl22, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 ( (f @ X0 @ a @ a)
% 0.46/0.75 | ~ (f @ a @ a @ X0)
% 0.46/0.75 | (f @ a @ X0 @ a)
% 0.46/0.75 | (f @ X0 @ a @ a))),
% 0.46/0.75 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.46/0.75 thf(zip_derived_cl23, plain,
% 0.46/0.75 (![X0 : $i]: ( (f @ a @ X0 @ a) | ~ (f @ a @ a @ X0) | (f @ X0 @ a @ a))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl22])).
% 0.46/0.75 thf(zip_derived_cl25, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 ( (f @ X0 @ a @ a)
% 0.46/0.75 | (f @ (z @ a @ a @ X0) @ a @ a)
% 0.46/0.75 | (f @ a @ (z @ a @ a @ X0) @ a))),
% 0.46/0.75 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl23])).
% 0.46/0.75 thf(zip_derived_cl40, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 ( (f @ X0 @ a @ a)
% 0.46/0.75 | (f @ a @ a @ X0)
% 0.46/0.75 | (f @ a @ (z @ a @ a @ X0) @ a)
% 0.46/0.75 | (f @ X0 @ a @ a))),
% 0.46/0.75 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl25])).
% 0.46/0.75 thf(zip_derived_cl42, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 ( (f @ a @ (z @ a @ a @ X0) @ a)
% 0.46/0.75 | (f @ a @ a @ X0)
% 0.46/0.75 | (f @ X0 @ a @ a))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl40])).
% 0.46/0.75 thf(zip_derived_cl46, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 (~ (f @ a @ X0 @ a)
% 0.46/0.75 | (f @ a @ a @ X0)
% 0.46/0.75 | (f @ X0 @ a @ a)
% 0.46/0.75 | (f @ a @ a @ X0))),
% 0.46/0.75 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl42])).
% 0.46/0.75 thf(zip_derived_cl48, plain,
% 0.46/0.75 (![X0 : $i]: ( (f @ X0 @ a @ a) | (f @ a @ a @ X0) | ~ (f @ a @ X0 @ a))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl46])).
% 0.46/0.75 thf(zip_derived_cl52, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 ( (f @ a @ X0 @ a)
% 0.46/0.75 | (f @ a @ a @ (z @ a @ a @ X0))
% 0.46/0.75 | (f @ (z @ a @ a @ X0) @ a @ a))),
% 0.46/0.75 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl48])).
% 0.46/0.75 thf(zip_derived_cl79, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 ( (f @ a @ X0 @ a)
% 0.46/0.75 | (f @ a @ a @ X0)
% 0.46/0.75 | (f @ a @ a @ (z @ a @ a @ X0))
% 0.46/0.75 | (f @ a @ X0 @ a))),
% 0.46/0.75 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl52])).
% 0.46/0.75 thf(zip_derived_cl80, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 ( (f @ a @ a @ (z @ a @ a @ X0))
% 0.46/0.75 | (f @ a @ a @ X0)
% 0.46/0.75 | (f @ a @ X0 @ a))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl79])).
% 0.46/0.75 thf(zip_derived_cl86, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 (~ (f @ X0 @ a @ a)
% 0.46/0.75 | (f @ a @ a @ X0)
% 0.46/0.75 | (f @ a @ X0 @ a)
% 0.46/0.75 | (f @ a @ a @ X0))),
% 0.46/0.75 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl80])).
% 0.46/0.75 thf(zip_derived_cl89, plain,
% 0.46/0.75 (![X0 : $i]: ( (f @ a @ X0 @ a) | (f @ a @ a @ X0) | ~ (f @ X0 @ a @ a))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl86])).
% 0.46/0.75 thf(zip_derived_cl95, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 (~ (f @ X0 @ a @ a)
% 0.46/0.75 | ~ (f @ a @ X0 @ a)
% 0.46/0.75 | (f @ a @ a @ (z @ a @ a @ X0))
% 0.46/0.75 | (f @ a @ (z @ a @ a @ X0) @ a))),
% 0.46/0.75 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl89])).
% 0.46/0.75 thf(zip_derived_cl3, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2)) | (f @ X2 @ X1 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.46/0.75 thf(zip_derived_cl131, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 ( (f @ a @ (z @ a @ a @ X0) @ a)
% 0.46/0.75 | (f @ a @ a @ (z @ a @ a @ X0))
% 0.46/0.75 | ~ (f @ a @ X0 @ a))),
% 0.46/0.75 inference('clc', [status(thm)], [zip_derived_cl95, zip_derived_cl3])).
% 0.46/0.75 thf(zip_derived_cl7, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1) | (f @ X1 @ X2 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.46/0.75 thf(zip_derived_cl132, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 ( (f @ a @ a @ (z @ a @ a @ X0)) | (f @ a @ (z @ a @ a @ X0) @ a))),
% 0.46/0.75 inference('clc', [status(thm)], [zip_derived_cl131, zip_derived_cl7])).
% 0.46/0.75 thf(zip_derived_cl48, plain,
% 0.46/0.75 (![X0 : $i]: ( (f @ X0 @ a @ a) | (f @ a @ a @ X0) | ~ (f @ a @ X0 @ a))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl46])).
% 0.46/0.75 thf(zip_derived_cl135, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 ( (f @ a @ a @ (z @ a @ a @ X0))
% 0.46/0.75 | (f @ a @ a @ (z @ a @ a @ X0))
% 0.46/0.75 | (f @ (z @ a @ a @ X0) @ a @ a))),
% 0.46/0.75 inference('sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl48])).
% 0.46/0.75 thf(zip_derived_cl138, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 ( (f @ (z @ a @ a @ X0) @ a @ a) | (f @ a @ a @ (z @ a @ a @ X0)))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl135])).
% 0.46/0.75 thf(zip_derived_cl1, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 (~ (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2))
% 0.46/0.75 | (f @ X1 @ X0 @ X2)
% 0.46/0.75 | ~ (f @ X2 @ X1 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.46/0.75 thf(zip_derived_cl132, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 ( (f @ a @ a @ (z @ a @ a @ X0)) | (f @ a @ (z @ a @ a @ X0) @ a))),
% 0.46/0.75 inference('clc', [status(thm)], [zip_derived_cl131, zip_derived_cl7])).
% 0.46/0.75 thf(zip_derived_cl5, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 (~ (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 0.46/0.75 | (f @ X0 @ X1 @ X2)
% 0.46/0.75 | ~ (f @ X1 @ X2 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.46/0.75 thf(zip_derived_cl133, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 ( (f @ a @ a @ (z @ a @ a @ X0))
% 0.46/0.75 | ~ (f @ a @ X0 @ a)
% 0.46/0.75 | (f @ a @ a @ X0))),
% 0.46/0.75 inference('sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl5])).
% 0.46/0.75 thf(zip_derived_cl80, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 ( (f @ a @ a @ (z @ a @ a @ X0))
% 0.46/0.75 | (f @ a @ a @ X0)
% 0.46/0.75 | (f @ a @ X0 @ a))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl79])).
% 0.46/0.75 thf(zip_derived_cl145, plain,
% 0.46/0.75 (![X0 : $i]: ( (f @ a @ a @ X0) | (f @ a @ a @ (z @ a @ a @ X0)))),
% 0.46/0.75 inference('clc', [status(thm)], [zip_derived_cl133, zip_derived_cl80])).
% 0.46/0.75 thf(zip_derived_cl150, plain,
% 0.46/0.75 (![X0 : $i]: (~ (f @ X0 @ a @ a) | (f @ a @ a @ X0) | (f @ a @ a @ X0))),
% 0.46/0.75 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl145])).
% 0.46/0.75 thf(zip_derived_cl153, plain,
% 0.46/0.75 (![X0 : $i]: ( (f @ a @ a @ X0) | ~ (f @ X0 @ a @ a))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl150])).
% 0.46/0.75 thf(zip_derived_cl158, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 ( (f @ a @ a @ (z @ a @ a @ X0)) | (f @ a @ a @ (z @ a @ a @ X0)))),
% 0.46/0.75 inference('sup-', [status(thm)], [zip_derived_cl138, zip_derived_cl153])).
% 0.46/0.75 thf(zip_derived_cl160, plain, (![X0 : $i]: (f @ a @ a @ (z @ a @ a @ X0))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl158])).
% 0.46/0.75 thf(clause7, conjecture,
% 0.46/0.75 (~( ( ~( f @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 ) ) | ( f @ Y3 @ Y1 @ Y2 ) |
% 0.46/0.75 ( ~( f @ Y2 @ Y3 @ Y1 ) ) ))).
% 0.46/0.75 thf(zf_stmt_9, negated_conjecture,
% 0.46/0.75 (( ~( f @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 ) ) | ( f @ Y3 @ Y1 @ Y2 ) |
% 0.46/0.75 ( ~( f @ Y2 @ Y3 @ Y1 ) )),
% 0.46/0.75 inference('cnf.neg', [status(esa)], [clause7])).
% 0.46/0.75 thf(zip_derived_cl6, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 (~ (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 0.46/0.75 | (f @ X2 @ X0 @ X1)
% 0.46/0.75 | ~ (f @ X1 @ X2 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.46/0.75 thf(clause13, conjecture,
% 0.46/0.75 (~( ( f @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 @ Y1 ) | ( ~( f @ Y1 @ Y2 @ Y3 ) ) ))).
% 0.46/0.75 thf(zf_stmt_10, negated_conjecture,
% 0.46/0.75 (( f @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 @ Y1 ) | ( ~( f @ Y1 @ Y2 @ Y3 ) )),
% 0.46/0.75 inference('cnf.neg', [status(esa)], [clause13])).
% 0.46/0.75 thf(zip_derived_cl12, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ (z @ X0 @ X1 @ X2) @ X1 @ X0) | ~ (f @ X0 @ X1 @ X2))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.46/0.75 thf(zip_derived_cl160, plain, (![X0 : $i]: (f @ a @ a @ (z @ a @ a @ X0))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl158])).
% 0.46/0.75 thf(clause3, conjecture,
% 0.46/0.75 (~( ( ~( f @ Y2 @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) ) ) | ( f @ Y2 @ Y3 @ Y1 ) |
% 0.46/0.75 ( ~( f @ Y3 @ Y1 @ Y2 ) ) ))).
% 0.46/0.75 thf(zf_stmt_11, negated_conjecture,
% 0.46/0.75 (( ~( f @ Y2 @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) ) ) | ( f @ Y2 @ Y3 @ Y1 ) |
% 0.46/0.75 ( ~( f @ Y3 @ Y1 @ Y2 ) )),
% 0.46/0.75 inference('cnf.neg', [status(esa)], [clause3])).
% 0.46/0.75 thf(zip_derived_cl2, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 (~ (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2))
% 0.46/0.75 | (f @ X0 @ X2 @ X1)
% 0.46/0.75 | ~ (f @ X2 @ X1 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.46/0.75 thf(zip_derived_cl162, plain,
% 0.46/0.75 (![X0 : $i]: (~ (f @ X0 @ a @ a) | (f @ a @ X0 @ a))),
% 0.46/0.75 inference('sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl2])).
% 0.46/0.75 thf(zip_derived_cl172, plain,
% 0.46/0.75 (![X0 : $i]: (~ (f @ a @ a @ X0) | (f @ a @ (z @ a @ a @ X0) @ a))),
% 0.46/0.75 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl162])).
% 0.46/0.75 thf(zip_derived_cl181, plain,
% 0.46/0.75 (![X0 : $i]:
% 0.46/0.75 (~ (f @ a @ X0 @ a) | (f @ X0 @ a @ a) | ~ (f @ a @ a @ X0))),
% 0.46/0.75 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl172])).
% 0.46/0.75 thf(zip_derived_cl23, plain,
% 0.46/0.75 (![X0 : $i]: ( (f @ a @ X0 @ a) | ~ (f @ a @ a @ X0) | (f @ X0 @ a @ a))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl22])).
% 0.46/0.75 thf(zip_derived_cl189, plain,
% 0.46/0.75 (![X0 : $i]: (~ (f @ a @ a @ X0) | (f @ X0 @ a @ a))),
% 0.46/0.75 inference('clc', [status(thm)], [zip_derived_cl181, zip_derived_cl23])).
% 0.46/0.75 thf(zip_derived_cl192, plain, (![X0 : $i]: (f @ (z @ a @ a @ X0) @ a @ a)),
% 0.46/0.75 inference('sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl189])).
% 0.46/0.75 thf(zip_derived_cl9, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 (~ (f @ (z @ X0 @ X1 @ X2) @ X1 @ X0)
% 0.46/0.75 | (f @ X0 @ X1 @ X2)
% 0.46/0.75 | (f @ X2 @ X0 @ X1))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.46/0.75 thf(zip_derived_cl198, plain,
% 0.46/0.75 (![X0 : $i]: ( (f @ X0 @ a @ a) | (f @ a @ a @ X0))),
% 0.46/0.75 inference('sup-', [status(thm)], [zip_derived_cl192, zip_derived_cl9])).
% 0.46/0.75 thf(zip_derived_cl153, plain,
% 0.46/0.75 (![X0 : $i]: ( (f @ a @ a @ X0) | ~ (f @ X0 @ a @ a))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl150])).
% 0.46/0.75 thf(zip_derived_cl213, plain, (![X0 : $i]: (f @ a @ a @ X0)),
% 0.46/0.75 inference('clc', [status(thm)], [zip_derived_cl198, zip_derived_cl153])).
% 0.46/0.75 thf(zip_derived_cl214, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ X1 @ X2) | (f @ X2 @ X0 @ X1) | ~ (f @ X1 @ X2 @ X0))),
% 0.46/0.75 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl213])).
% 0.46/0.75 thf(zip_derived_cl245, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 (~ (f @ X2 @ X0 @ X1)
% 0.46/0.75 | ~ (f @ X1 @ X2 @ X0)
% 0.46/0.75 | (f @ X1 @ X0 @ (z @ X0 @ X1 @ X2))
% 0.46/0.75 | (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1))),
% 0.46/0.75 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl214])).
% 0.46/0.75 thf(zip_derived_cl3, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2)) | (f @ X2 @ X1 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.46/0.75 thf(zip_derived_cl403, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 0.46/0.75 | (f @ X1 @ X0 @ (z @ X0 @ X1 @ X2))
% 0.46/0.75 | ~ (f @ X1 @ X2 @ X0))),
% 0.46/0.75 inference('clc', [status(thm)], [zip_derived_cl245, zip_derived_cl3])).
% 0.46/0.75 thf(zip_derived_cl7, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1) | (f @ X1 @ X2 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.46/0.75 thf(zip_derived_cl404, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X1 @ X0 @ (z @ X0 @ X1 @ X2))
% 0.46/0.75 | (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1))),
% 0.46/0.75 inference('clc', [status(thm)], [zip_derived_cl403, zip_derived_cl7])).
% 0.46/0.75 thf(zip_derived_cl5, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 (~ (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 0.46/0.75 | (f @ X0 @ X1 @ X2)
% 0.46/0.75 | ~ (f @ X1 @ X2 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.46/0.75 thf(zip_derived_cl404, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X1 @ X0 @ (z @ X0 @ X1 @ X2))
% 0.46/0.75 | (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1))),
% 0.46/0.75 inference('clc', [status(thm)], [zip_derived_cl403, zip_derived_cl7])).
% 0.46/0.75 thf(zip_derived_cl1, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 (~ (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2))
% 0.46/0.75 | (f @ X1 @ X0 @ X2)
% 0.46/0.75 | ~ (f @ X2 @ X1 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.46/0.75 thf(zip_derived_cl406, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X2 @ (z @ X2 @ X1 @ X0) @ X1)
% 0.46/0.75 | ~ (f @ X0 @ X2 @ X1)
% 0.46/0.75 | (f @ X2 @ X1 @ X0))),
% 0.46/0.75 inference('sup-', [status(thm)], [zip_derived_cl404, zip_derived_cl1])).
% 0.46/0.75 thf(zip_derived_cl9, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 (~ (f @ (z @ X0 @ X1 @ X2) @ X1 @ X0)
% 0.46/0.75 | (f @ X0 @ X1 @ X2)
% 0.46/0.75 | (f @ X2 @ X0 @ X1))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.46/0.75 thf(zip_derived_cl3, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2)) | (f @ X2 @ X1 @ X0))),
% 0.46/0.75 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.46/0.75 thf(zip_derived_cl214, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ X1 @ X2) | (f @ X2 @ X0 @ X1) | ~ (f @ X1 @ X2 @ X0))),
% 0.46/0.75 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl213])).
% 0.46/0.75 thf(zip_derived_cl238, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ X2 @ X1)
% 0.46/0.75 | (f @ X2 @ (z @ X2 @ X1 @ X0) @ X1)
% 0.46/0.75 | (f @ (z @ X2 @ X1 @ X0) @ X1 @ X2))),
% 0.46/0.75 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl214])).
% 0.46/0.75 thf(zip_derived_cl304, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X2 @ X0 @ X1)
% 0.46/0.75 | (f @ X0 @ X1 @ X2)
% 0.46/0.75 | (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 0.46/0.75 | (f @ X2 @ X0 @ X1))),
% 0.46/0.75 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl238])).
% 0.46/0.75 thf(zip_derived_cl306, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 0.46/0.75 | (f @ X0 @ X1 @ X2)
% 0.46/0.75 | (f @ X2 @ X0 @ X1))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl304])).
% 0.46/0.75 thf(zip_derived_cl417, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X2 @ X1 @ X0) | (f @ X2 @ (z @ X2 @ X1 @ X0) @ X1))),
% 0.46/0.75 inference('clc', [status(thm)], [zip_derived_cl406, zip_derived_cl306])).
% 0.46/0.75 thf(zip_derived_cl421, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 (~ (f @ X0 @ X1 @ X2) | (f @ X2 @ X0 @ X1) | (f @ X2 @ X0 @ X1))),
% 0.46/0.75 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl417])).
% 0.46/0.75 thf(zip_derived_cl423, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X2 @ X0 @ X1) | ~ (f @ X0 @ X1 @ X2))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl421])).
% 0.46/0.75 thf(zip_derived_cl431, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ X2 @ (z @ X2 @ X0 @ X1))
% 0.46/0.75 | (f @ X0 @ X2 @ (z @ X2 @ X0 @ X1)))),
% 0.46/0.75 inference('sup-', [status(thm)], [zip_derived_cl404, zip_derived_cl423])).
% 0.46/0.75 thf(zip_derived_cl446, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]: (f @ X0 @ X2 @ (z @ X2 @ X0 @ X1))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl431])).
% 0.46/0.75 thf(zip_derived_cl423, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X2 @ X0 @ X1) | ~ (f @ X0 @ X1 @ X2))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl421])).
% 0.46/0.75 thf(zip_derived_cl456, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]: (f @ (z @ X2 @ X1 @ X0) @ X1 @ X2)),
% 0.46/0.75 inference('sup-', [status(thm)], [zip_derived_cl446, zip_derived_cl423])).
% 0.46/0.75 thf(zip_derived_cl481, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X0 @ X1 @ X2) | (f @ X2 @ X0 @ X1))),
% 0.46/0.75 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl456])).
% 0.46/0.75 thf(zip_derived_cl423, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.46/0.75 ( (f @ X2 @ X0 @ X1) | ~ (f @ X0 @ X1 @ X2))),
% 0.46/0.75 inference('simplify', [status(thm)], [zip_derived_cl421])).
% 0.46/0.75 thf(zip_derived_cl490, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]: (f @ X2 @ X0 @ X1)),
% 0.46/0.75 inference('clc', [status(thm)], [zip_derived_cl481, zip_derived_cl423])).
% 0.46/0.75 thf(zip_derived_cl490, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]: (f @ X2 @ X0 @ X1)),
% 0.46/0.75 inference('clc', [status(thm)], [zip_derived_cl481, zip_derived_cl423])).
% 0.46/0.75 thf(zip_derived_cl490, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]: (f @ X2 @ X0 @ X1)),
% 0.46/0.75 inference('clc', [status(thm)], [zip_derived_cl481, zip_derived_cl423])).
% 0.46/0.75 thf(zip_derived_cl490, plain,
% 0.46/0.75 (![X0 : $i, X1 : $i, X2 : $i]: (f @ X2 @ X0 @ X1)),
% 0.46/0.75 inference('clc', [status(thm)], [zip_derived_cl481, zip_derived_cl423])).
% 0.46/0.75 thf(zip_derived_cl491, plain, ($false),
% 0.46/0.75 inference('demod', [status(thm)],
% 0.46/0.75 [zip_derived_cl16, zip_derived_cl490, zip_derived_cl490,
% 0.46/0.75 zip_derived_cl490, zip_derived_cl490])).
% 0.46/0.75
% 0.46/0.75 % SZS output end Refutation
% 0.46/0.75
% 0.46/0.75
% 0.46/0.75 % Terminating...
% 1.93/0.87 % Runner terminated.
% 1.93/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------