TSTP Solution File: SYN353-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN353-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.g4Da02LZKt true
% Computer : n025.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 : Fri Sep 1 04:02:56 EDT 2023
% Result : Unsatisfiable 1.37s 0.79s
% Output : Refutation 1.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN353-1 : TPTP v8.1.2. Released v1.2.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.g4Da02LZKt true
% 0.15/0.34 % Computer : n025.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sat Aug 26 20:30:23 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.79 % Solved by fo/fo6_bce.sh.
% 1.37/0.79 % BCE start: 17
% 1.37/0.79 % BCE eliminated: 0
% 1.37/0.79 % PE start: 17
% 1.37/0.79 logic: neq
% 1.37/0.79 % PE eliminated: 0
% 1.37/0.79 % done 103 iterations in 0.057s
% 1.37/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.37/0.79 % SZS output start Refutation
% 1.37/0.79 thf(f_type, type, f: $i > $i > $i > $o).
% 1.37/0.79 thf(z_type, type, z: $i > $i > $i > $i).
% 1.37/0.79 thf(a_type, type, a: $i).
% 1.37/0.79 thf(clause17, conjecture,
% 1.37/0.79 (~( ( ~( f @
% 1.37/0.79 ( z @ Y1 @ Y2 @ Y3 ) @ ( z @ Y1 @ Y2 @ Y3 ) @ ( z @ Y1 @ Y2 @ Y3 ) ) ) |
% 1.37/0.79 ( ~( f @ Y3 @ Y1 @ Y2 ) ) | ( ~( f @ Y2 @ Y3 @ Y1 ) ) |
% 1.37/0.79 ( ~( f @ Y1 @ Y2 @ Y3 ) ) ))).
% 1.37/0.79 thf(zf_stmt_0, negated_conjecture,
% 1.37/0.79 (( ~( f @
% 1.37/0.79 ( z @ Y1 @ Y2 @ Y3 ) @ ( z @ Y1 @ Y2 @ Y3 ) @ ( z @ Y1 @ Y2 @ Y3 ) ) ) |
% 1.37/0.79 ( ~( f @ Y3 @ Y1 @ Y2 ) ) | ( ~( f @ Y2 @ Y3 @ Y1 ) ) |
% 1.37/0.79 ( ~( f @ Y1 @ Y2 @ Y3 ) )),
% 1.37/0.79 inference('cnf.neg', [status(esa)], [clause17])).
% 1.37/0.79 thf(zip_derived_cl16, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ (z @ X0 @ X1 @ X2) @ (z @ X0 @ X1 @ X2) @ (z @ X0 @ X1 @ X2))
% 1.37/0.79 | ~ (f @ X2 @ X0 @ X1)
% 1.37/0.79 | ~ (f @ X1 @ X2 @ X0)
% 1.37/0.79 | ~ (f @ X0 @ X1 @ X2))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.79 thf(clause10, conjecture,
% 1.37/0.79 (~( ( ~( f @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 @ Y1 ) ) | ( f @ Y1 @ Y2 @ Y3 ) |
% 1.37/0.79 ( f @ Y3 @ Y1 @ Y2 ) ))).
% 1.37/0.79 thf(zf_stmt_1, negated_conjecture,
% 1.37/0.79 (( ~( f @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 @ Y1 ) ) | ( f @ Y1 @ Y2 @ Y3 ) |
% 1.37/0.79 ( f @ Y3 @ Y1 @ Y2 )),
% 1.37/0.79 inference('cnf.neg', [status(esa)], [clause10])).
% 1.37/0.79 thf(zip_derived_cl9, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ (z @ X0 @ X1 @ X2) @ X1 @ X0)
% 1.37/0.79 | (f @ X0 @ X1 @ X2)
% 1.37/0.79 | (f @ X2 @ X0 @ X1))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.37/0.79 thf(clause12, conjecture,
% 1.37/0.79 (~( ( f @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 @ Y1 ) | ( ~( f @ Y2 @ Y3 @ Y1 ) ) |
% 1.37/0.79 ( ~( f @ Y3 @ Y1 @ Y2 ) ) ))).
% 1.37/0.79 thf(zf_stmt_2, negated_conjecture,
% 1.37/0.79 (( f @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 @ Y1 ) | ( ~( f @ Y2 @ Y3 @ Y1 ) ) |
% 1.37/0.79 ( ~( f @ Y3 @ Y1 @ Y2 ) )),
% 1.37/0.79 inference('cnf.neg', [status(esa)], [clause12])).
% 1.37/0.79 thf(zip_derived_cl11, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ (z @ X0 @ X1 @ X2) @ X1 @ X0)
% 1.37/0.79 | ~ (f @ X1 @ X2 @ X0)
% 1.37/0.79 | ~ (f @ X2 @ X0 @ X1))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.37/0.79 thf(clause1, conjecture,
% 1.37/0.79 (~( ( f @ Y3 @ Y1 @ Y2 ) | ( f @ Y2 @ Y3 @ Y1 ) |
% 1.37/0.79 ( ~( f @ a @ a @ ( z @ Y1 @ Y2 @ Y3 ) ) ) | ( ~( f @ Y1 @ Y2 @ Y3 ) ) ))).
% 1.37/0.79 thf(zf_stmt_3, negated_conjecture,
% 1.37/0.79 (( f @ Y3 @ Y1 @ Y2 ) | ( f @ Y2 @ Y3 @ Y1 ) |
% 1.37/0.79 ( ~( f @ a @ a @ ( z @ Y1 @ Y2 @ Y3 ) ) ) | ( ~( f @ Y1 @ Y2 @ Y3 ) )),
% 1.37/0.79 inference('cnf.neg', [status(esa)], [clause1])).
% 1.37/0.79 thf(zip_derived_cl0, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ X1 @ X2)
% 1.37/0.79 | (f @ X2 @ X0 @ X1)
% 1.37/0.79 | ~ (f @ a @ a @ (z @ X1 @ X2 @ X0))
% 1.37/0.79 | ~ (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.37/0.79 thf(zip_derived_cl11, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ (z @ X0 @ X1 @ X2) @ X1 @ X0)
% 1.37/0.79 | ~ (f @ X1 @ X2 @ X0)
% 1.37/0.79 | ~ (f @ X2 @ X0 @ X1))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.37/0.79 thf(clause8, conjecture,
% 1.37/0.79 (~( ( f @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 ) | ( f @ Y2 @ Y3 @ Y1 ) ))).
% 1.37/0.79 thf(zf_stmt_4, negated_conjecture,
% 1.37/0.79 (( f @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 ) | ( f @ Y2 @ Y3 @ Y1 )),
% 1.37/0.79 inference('cnf.neg', [status(esa)], [clause8])).
% 1.37/0.79 thf(zip_derived_cl7, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1) | (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.37/0.79 thf(clause4, conjecture,
% 1.37/0.79 (~( ( f @ Y2 @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) ) | ( f @ Y3 @ Y1 @ Y2 ) ))).
% 1.37/0.79 thf(zf_stmt_5, negated_conjecture,
% 1.37/0.79 (( f @ Y2 @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) ) | ( f @ Y3 @ Y1 @ Y2 )),
% 1.37/0.79 inference('cnf.neg', [status(esa)], [clause4])).
% 1.37/0.79 thf(zip_derived_cl3, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2)) | (f @ X2 @ X1 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.37/0.79 thf(zip_derived_cl3, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2)) | (f @ X2 @ X1 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.37/0.79 thf(zip_derived_cl0, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ X1 @ X2)
% 1.37/0.79 | (f @ X2 @ X0 @ X1)
% 1.37/0.79 | ~ (f @ a @ a @ (z @ X1 @ X2 @ X0))
% 1.37/0.79 | ~ (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.37/0.79 thf(zip_derived_cl17, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ X0 @ a @ a)
% 1.37/0.79 | (f @ X0 @ a @ a)
% 1.37/0.79 | (f @ a @ X0 @ a)
% 1.37/0.79 | ~ (f @ a @ a @ X0))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.37/0.79 thf(zip_derived_cl19, plain,
% 1.37/0.79 (![X0 : $i]: (~ (f @ a @ a @ X0) | (f @ a @ X0 @ a) | (f @ X0 @ a @ a))),
% 1.37/0.79 inference('simplify', [status(thm)], [zip_derived_cl17])).
% 1.37/0.79 thf(zip_derived_cl21, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ X0 @ a @ a)
% 1.37/0.79 | (f @ a @ (z @ a @ a @ X0) @ a)
% 1.37/0.79 | (f @ (z @ a @ a @ X0) @ a @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl19])).
% 1.37/0.79 thf(zip_derived_cl9, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ (z @ X0 @ X1 @ X2) @ X1 @ X0)
% 1.37/0.79 | (f @ X0 @ X1 @ X2)
% 1.37/0.79 | (f @ X2 @ X0 @ X1))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.37/0.79 thf(zip_derived_cl39, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ a @ (z @ a @ a @ X0) @ a)
% 1.37/0.79 | (f @ X0 @ a @ a)
% 1.37/0.79 | (f @ a @ a @ X0)
% 1.37/0.79 | (f @ X0 @ a @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl9])).
% 1.37/0.79 thf(zip_derived_cl40, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ a @ a @ X0)
% 1.37/0.79 | (f @ X0 @ a @ a)
% 1.37/0.79 | (f @ a @ (z @ a @ a @ X0) @ a))),
% 1.37/0.79 inference('simplify', [status(thm)], [zip_derived_cl39])).
% 1.37/0.79 thf(clause6, conjecture,
% 1.37/0.79 (~( ( ~( f @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 ) ) | ( f @ Y1 @ Y2 @ Y3 ) |
% 1.37/0.79 ( ~( f @ Y2 @ Y3 @ Y1 ) ) ))).
% 1.37/0.79 thf(zf_stmt_6, negated_conjecture,
% 1.37/0.79 (( ~( f @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 ) ) | ( f @ Y1 @ Y2 @ Y3 ) |
% 1.37/0.79 ( ~( f @ Y2 @ Y3 @ Y1 ) )),
% 1.37/0.79 inference('cnf.neg', [status(esa)], [clause6])).
% 1.37/0.79 thf(zip_derived_cl5, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 1.37/0.79 | (f @ X0 @ X1 @ X2)
% 1.37/0.79 | ~ (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.37/0.79 thf(zip_derived_cl41, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ X0 @ a @ a)
% 1.37/0.79 | (f @ a @ a @ X0)
% 1.37/0.79 | (f @ a @ a @ X0)
% 1.37/0.79 | ~ (f @ a @ X0 @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl5])).
% 1.37/0.79 thf(zip_derived_cl43, plain,
% 1.37/0.79 (![X0 : $i]: (~ (f @ a @ X0 @ a) | (f @ a @ a @ X0) | (f @ X0 @ a @ a))),
% 1.37/0.79 inference('simplify', [status(thm)], [zip_derived_cl41])).
% 1.37/0.79 thf(zip_derived_cl45, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ a @ X0 @ a)
% 1.37/0.79 | (f @ a @ a @ (z @ a @ a @ X0))
% 1.37/0.79 | (f @ (z @ a @ a @ X0) @ a @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl43])).
% 1.37/0.79 thf(clause11, conjecture,
% 1.37/0.79 (~( ( ~( f @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 @ Y1 ) ) | ( f @ Y1 @ Y2 @ Y3 ) |
% 1.37/0.79 ( f @ Y2 @ Y3 @ Y1 ) ))).
% 1.37/0.79 thf(zf_stmt_7, negated_conjecture,
% 1.37/0.79 (( ~( f @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 @ Y1 ) ) | ( f @ Y1 @ Y2 @ Y3 ) |
% 1.37/0.79 ( f @ Y2 @ Y3 @ Y1 )),
% 1.37/0.79 inference('cnf.neg', [status(esa)], [clause11])).
% 1.37/0.79 thf(zip_derived_cl10, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ (z @ X0 @ X1 @ X2) @ X1 @ X0)
% 1.37/0.79 | (f @ X0 @ X1 @ X2)
% 1.37/0.79 | (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.37/0.79 thf(zip_derived_cl57, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ a @ a @ (z @ a @ a @ X0))
% 1.37/0.79 | (f @ a @ X0 @ a)
% 1.37/0.79 | (f @ a @ a @ X0)
% 1.37/0.79 | (f @ a @ X0 @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl10])).
% 1.37/0.79 thf(zip_derived_cl58, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ a @ a @ X0)
% 1.37/0.79 | (f @ a @ X0 @ a)
% 1.37/0.79 | (f @ a @ a @ (z @ a @ a @ X0)))),
% 1.37/0.79 inference('simplify', [status(thm)], [zip_derived_cl57])).
% 1.37/0.79 thf(clause2, conjecture,
% 1.37/0.79 (~( ( ~( f @ Y2 @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) ) ) | ( f @ Y1 @ Y2 @ Y3 ) |
% 1.37/0.79 ( ~( f @ Y3 @ Y1 @ Y2 ) ) ))).
% 1.37/0.79 thf(zf_stmt_8, negated_conjecture,
% 1.37/0.79 (( ~( f @ Y2 @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) ) ) | ( f @ Y1 @ Y2 @ Y3 ) |
% 1.37/0.79 ( ~( f @ Y3 @ Y1 @ Y2 ) )),
% 1.37/0.79 inference('cnf.neg', [status(esa)], [clause2])).
% 1.37/0.79 thf(zip_derived_cl1, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2))
% 1.37/0.79 | (f @ X1 @ X0 @ X2)
% 1.37/0.79 | ~ (f @ X2 @ X1 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.37/0.79 thf(zip_derived_cl60, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ a @ X0 @ a)
% 1.37/0.79 | (f @ a @ a @ X0)
% 1.37/0.79 | (f @ a @ a @ X0)
% 1.37/0.79 | ~ (f @ X0 @ a @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl1])).
% 1.37/0.79 thf(zip_derived_cl64, plain,
% 1.37/0.79 (![X0 : $i]: (~ (f @ X0 @ a @ a) | (f @ a @ a @ X0) | (f @ a @ X0 @ a))),
% 1.37/0.79 inference('simplify', [status(thm)], [zip_derived_cl60])).
% 1.37/0.79 thf(zip_derived_cl67, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 (~ (f @ X0 @ a @ a)
% 1.37/0.79 | ~ (f @ a @ X0 @ a)
% 1.37/0.79 | (f @ a @ a @ (z @ a @ a @ X0))
% 1.37/0.79 | (f @ a @ (z @ a @ a @ X0) @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl64])).
% 1.37/0.79 thf(zip_derived_cl3, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2)) | (f @ X2 @ X1 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.37/0.79 thf(zip_derived_cl89, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ a @ (z @ a @ a @ X0) @ a)
% 1.37/0.79 | (f @ a @ a @ (z @ a @ a @ X0))
% 1.37/0.79 | ~ (f @ a @ X0 @ a))),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl67, zip_derived_cl3])).
% 1.37/0.79 thf(zip_derived_cl7, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1) | (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.37/0.79 thf(zip_derived_cl90, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ a @ a @ (z @ a @ a @ X0)) | (f @ a @ (z @ a @ a @ X0) @ a))),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl89, zip_derived_cl7])).
% 1.37/0.79 thf(zip_derived_cl43, plain,
% 1.37/0.79 (![X0 : $i]: (~ (f @ a @ X0 @ a) | (f @ a @ a @ X0) | (f @ X0 @ a @ a))),
% 1.37/0.79 inference('simplify', [status(thm)], [zip_derived_cl41])).
% 1.37/0.79 thf(zip_derived_cl93, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ a @ a @ (z @ a @ a @ X0))
% 1.37/0.79 | (f @ a @ a @ (z @ a @ a @ X0))
% 1.37/0.79 | (f @ (z @ a @ a @ X0) @ a @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl43])).
% 1.37/0.79 thf(zip_derived_cl94, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ (z @ a @ a @ X0) @ a @ a) | (f @ a @ a @ (z @ a @ a @ X0)))),
% 1.37/0.79 inference('simplify', [status(thm)], [zip_derived_cl93])).
% 1.37/0.79 thf(zip_derived_cl90, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ a @ a @ (z @ a @ a @ X0)) | (f @ a @ (z @ a @ a @ X0) @ a))),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl89, zip_derived_cl7])).
% 1.37/0.79 thf(zip_derived_cl5, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 1.37/0.79 | (f @ X0 @ X1 @ X2)
% 1.37/0.79 | ~ (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.37/0.79 thf(zip_derived_cl91, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ a @ a @ (z @ a @ a @ X0))
% 1.37/0.79 | (f @ a @ a @ X0)
% 1.37/0.79 | ~ (f @ a @ X0 @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl5])).
% 1.37/0.79 thf(clause5, conjecture,
% 1.37/0.79 (~( ( f @ Y2 @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) ) | ( ~( f @ Y2 @ Y3 @ Y1 ) ) |
% 1.37/0.79 ( ~( f @ Y1 @ Y2 @ Y3 ) ) ))).
% 1.37/0.79 thf(zf_stmt_9, negated_conjecture,
% 1.37/0.79 (( f @ Y2 @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) ) | ( ~( f @ Y2 @ Y3 @ Y1 ) ) |
% 1.37/0.79 ( ~( f @ Y1 @ Y2 @ Y3 ) )),
% 1.37/0.79 inference('cnf.neg', [status(esa)], [clause5])).
% 1.37/0.79 thf(zip_derived_cl4, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2))
% 1.37/0.79 | ~ (f @ X0 @ X2 @ X1)
% 1.37/0.79 | ~ (f @ X1 @ X0 @ X2))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.37/0.79 thf(zip_derived_cl101, plain,
% 1.37/0.79 (![X0 : $i]: (~ (f @ a @ X0 @ a) | (f @ a @ a @ (z @ a @ a @ X0)))),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl91, zip_derived_cl4])).
% 1.37/0.79 thf(zip_derived_cl1, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2))
% 1.37/0.79 | (f @ X1 @ X0 @ X2)
% 1.37/0.79 | ~ (f @ X2 @ X1 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.37/0.79 thf(zip_derived_cl102, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 (~ (f @ a @ X0 @ a) | (f @ a @ a @ X0) | ~ (f @ X0 @ a @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl1])).
% 1.37/0.79 thf(zip_derived_cl64, plain,
% 1.37/0.79 (![X0 : $i]: (~ (f @ X0 @ a @ a) | (f @ a @ a @ X0) | (f @ a @ X0 @ a))),
% 1.37/0.79 inference('simplify', [status(thm)], [zip_derived_cl60])).
% 1.37/0.79 thf(zip_derived_cl106, plain,
% 1.37/0.79 (![X0 : $i]: (~ (f @ X0 @ a @ a) | (f @ a @ a @ X0))),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl102, zip_derived_cl64])).
% 1.37/0.79 thf(zip_derived_cl110, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ a @ a @ (z @ a @ a @ X0)) | (f @ a @ a @ (z @ a @ a @ X0)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl94, zip_derived_cl106])).
% 1.37/0.79 thf(zip_derived_cl112, plain, (![X0 : $i]: (f @ a @ a @ (z @ a @ a @ X0))),
% 1.37/0.79 inference('simplify', [status(thm)], [zip_derived_cl110])).
% 1.37/0.79 thf(zip_derived_cl19, plain,
% 1.37/0.79 (![X0 : $i]: (~ (f @ a @ a @ X0) | (f @ a @ X0 @ a) | (f @ X0 @ a @ a))),
% 1.37/0.79 inference('simplify', [status(thm)], [zip_derived_cl17])).
% 1.37/0.79 thf(zip_derived_cl115, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 ( (f @ a @ (z @ a @ a @ X0) @ a) | (f @ (z @ a @ a @ X0) @ a @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl19])).
% 1.37/0.79 thf(clause13, conjecture,
% 1.37/0.79 (~( ( f @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 @ Y1 ) | ( ~( f @ Y1 @ Y2 @ Y3 ) ) ))).
% 1.37/0.79 thf(zf_stmt_10, negated_conjecture,
% 1.37/0.79 (( f @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 @ Y1 ) | ( ~( f @ Y1 @ Y2 @ Y3 ) )),
% 1.37/0.79 inference('cnf.neg', [status(esa)], [clause13])).
% 1.37/0.79 thf(zip_derived_cl12, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ (z @ X0 @ X1 @ X2) @ X1 @ X0) | ~ (f @ X0 @ X1 @ X2))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.37/0.79 thf(zip_derived_cl112, plain, (![X0 : $i]: (f @ a @ a @ (z @ a @ a @ X0))),
% 1.37/0.79 inference('simplify', [status(thm)], [zip_derived_cl110])).
% 1.37/0.79 thf(clause3, conjecture,
% 1.37/0.79 (~( ( ~( f @ Y2 @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) ) ) | ( f @ Y2 @ Y3 @ Y1 ) |
% 1.37/0.79 ( ~( f @ Y3 @ Y1 @ Y2 ) ) ))).
% 1.37/0.79 thf(zf_stmt_11, negated_conjecture,
% 1.37/0.79 (( ~( f @ Y2 @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) ) ) | ( f @ Y2 @ Y3 @ Y1 ) |
% 1.37/0.79 ( ~( f @ Y3 @ Y1 @ Y2 ) )),
% 1.37/0.79 inference('cnf.neg', [status(esa)], [clause3])).
% 1.37/0.79 thf(zip_derived_cl2, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2))
% 1.37/0.79 | (f @ X0 @ X2 @ X1)
% 1.37/0.79 | ~ (f @ X2 @ X1 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.37/0.79 thf(zip_derived_cl114, plain,
% 1.37/0.79 (![X0 : $i]: ( (f @ a @ X0 @ a) | ~ (f @ X0 @ a @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl2])).
% 1.37/0.79 thf(zip_derived_cl120, plain,
% 1.37/0.79 (![X0 : $i]: (~ (f @ a @ a @ X0) | (f @ a @ (z @ a @ a @ X0) @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl114])).
% 1.37/0.79 thf(clause7, conjecture,
% 1.37/0.79 (~( ( ~( f @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 ) ) | ( f @ Y3 @ Y1 @ Y2 ) |
% 1.37/0.79 ( ~( f @ Y2 @ Y3 @ Y1 ) ) ))).
% 1.37/0.79 thf(zf_stmt_12, negated_conjecture,
% 1.37/0.79 (( ~( f @ Y1 @ ( z @ Y1 @ Y2 @ Y3 ) @ Y2 ) ) | ( f @ Y3 @ Y1 @ Y2 ) |
% 1.37/0.79 ( ~( f @ Y2 @ Y3 @ Y1 ) )),
% 1.37/0.79 inference('cnf.neg', [status(esa)], [clause7])).
% 1.37/0.79 thf(zip_derived_cl6, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 1.37/0.79 | (f @ X2 @ X0 @ X1)
% 1.37/0.79 | ~ (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.37/0.79 thf(zip_derived_cl126, plain,
% 1.37/0.79 (![X0 : $i]:
% 1.37/0.79 (~ (f @ a @ a @ X0) | (f @ X0 @ a @ a) | ~ (f @ a @ X0 @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl6])).
% 1.37/0.79 thf(zip_derived_cl43, plain,
% 1.37/0.79 (![X0 : $i]: (~ (f @ a @ X0 @ a) | (f @ a @ a @ X0) | (f @ X0 @ a @ a))),
% 1.37/0.79 inference('simplify', [status(thm)], [zip_derived_cl41])).
% 1.37/0.79 thf(zip_derived_cl130, plain,
% 1.37/0.79 (![X0 : $i]: (~ (f @ a @ X0 @ a) | (f @ X0 @ a @ a))),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl126, zip_derived_cl43])).
% 1.37/0.79 thf(zip_derived_cl153, plain, (![X0 : $i]: (f @ (z @ a @ a @ X0) @ a @ a)),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl115, zip_derived_cl130])).
% 1.37/0.79 thf(zip_derived_cl114, plain,
% 1.37/0.79 (![X0 : $i]: ( (f @ a @ X0 @ a) | ~ (f @ X0 @ a @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl2])).
% 1.37/0.79 thf(zip_derived_cl155, plain, (![X0 : $i]: (f @ a @ (z @ a @ a @ X0) @ a)),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl153, zip_derived_cl114])).
% 1.37/0.79 thf(zip_derived_cl5, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 1.37/0.79 | (f @ X0 @ X1 @ X2)
% 1.37/0.79 | ~ (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.37/0.79 thf(zip_derived_cl158, plain,
% 1.37/0.79 (![X0 : $i]: ( (f @ a @ a @ X0) | ~ (f @ a @ X0 @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl155, zip_derived_cl5])).
% 1.37/0.79 thf(zip_derived_cl7, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1) | (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.37/0.79 thf(zip_derived_cl130, plain,
% 1.37/0.79 (![X0 : $i]: (~ (f @ a @ X0 @ a) | (f @ X0 @ a @ a))),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl126, zip_derived_cl43])).
% 1.37/0.79 thf(zip_derived_cl131, plain,
% 1.37/0.79 (![X0 : $i]: ( (f @ a @ X0 @ a) | (f @ (z @ a @ a @ X0) @ a @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl130])).
% 1.37/0.79 thf(zip_derived_cl10, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ (z @ X0 @ X1 @ X2) @ X1 @ X0)
% 1.37/0.79 | (f @ X0 @ X1 @ X2)
% 1.37/0.79 | (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.37/0.79 thf(zip_derived_cl145, plain,
% 1.37/0.79 (![X0 : $i]: ( (f @ a @ X0 @ a) | (f @ a @ a @ X0) | (f @ a @ X0 @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl10])).
% 1.37/0.79 thf(zip_derived_cl146, plain,
% 1.37/0.79 (![X0 : $i]: ( (f @ a @ a @ X0) | (f @ a @ X0 @ a))),
% 1.37/0.79 inference('simplify', [status(thm)], [zip_derived_cl145])).
% 1.37/0.79 thf(zip_derived_cl112, plain, (![X0 : $i]: (f @ a @ a @ (z @ a @ a @ X0))),
% 1.37/0.79 inference('simplify', [status(thm)], [zip_derived_cl110])).
% 1.37/0.79 thf(zip_derived_cl0, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ X1 @ X2)
% 1.37/0.79 | (f @ X2 @ X0 @ X1)
% 1.37/0.79 | ~ (f @ a @ a @ (z @ X1 @ X2 @ X0))
% 1.37/0.79 | ~ (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.37/0.79 thf(zip_derived_cl116, plain,
% 1.37/0.79 (![X0 : $i]: ( (f @ X0 @ a @ a) | (f @ a @ X0 @ a) | ~ (f @ a @ a @ X0))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 1.37/0.79 thf(zip_derived_cl114, plain,
% 1.37/0.79 (![X0 : $i]: ( (f @ a @ X0 @ a) | ~ (f @ X0 @ a @ a))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl2])).
% 1.37/0.79 thf(zip_derived_cl161, plain,
% 1.37/0.79 (![X0 : $i]: (~ (f @ a @ a @ X0) | (f @ a @ X0 @ a))),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl116, zip_derived_cl114])).
% 1.37/0.79 thf(zip_derived_cl174, plain, (![X0 : $i]: (f @ a @ X0 @ a)),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl146, zip_derived_cl161])).
% 1.37/0.79 thf(zip_derived_cl176, plain, (![X0 : $i]: (f @ a @ a @ X0)),
% 1.37/0.79 inference('demod', [status(thm)], [zip_derived_cl158, zip_derived_cl174])).
% 1.37/0.79 thf(zip_derived_cl186, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ X1 @ X2) | (f @ X2 @ X0 @ X1) | ~ (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl176])).
% 1.37/0.79 thf(zip_derived_cl199, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ X2 @ X0 @ X1)
% 1.37/0.79 | ~ (f @ X1 @ X2 @ X0)
% 1.37/0.79 | (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 1.37/0.79 | (f @ X1 @ X0 @ (z @ X0 @ X1 @ X2)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl186])).
% 1.37/0.79 thf(zip_derived_cl3, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2)) | (f @ X2 @ X1 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.37/0.79 thf(zip_derived_cl234, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X1 @ X0 @ (z @ X0 @ X1 @ X2))
% 1.37/0.79 | (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 1.37/0.79 | ~ (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl199, zip_derived_cl3])).
% 1.37/0.79 thf(zip_derived_cl7, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1) | (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.37/0.79 thf(zip_derived_cl235, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 1.37/0.79 | (f @ X1 @ X0 @ (z @ X0 @ X1 @ X2)))),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl234, zip_derived_cl7])).
% 1.37/0.79 thf(zip_derived_cl235, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 1.37/0.79 | (f @ X1 @ X0 @ (z @ X0 @ X1 @ X2)))),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl234, zip_derived_cl7])).
% 1.37/0.79 thf(zip_derived_cl5, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 1.37/0.79 | (f @ X0 @ X1 @ X2)
% 1.37/0.79 | ~ (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.37/0.79 thf(zip_derived_cl237, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ X2 @ (z @ X2 @ X0 @ X1))
% 1.37/0.79 | (f @ X2 @ X0 @ X1)
% 1.37/0.79 | ~ (f @ X0 @ X1 @ X2))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl5])).
% 1.37/0.79 thf(zip_derived_cl4, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2))
% 1.37/0.79 | ~ (f @ X0 @ X2 @ X1)
% 1.37/0.79 | ~ (f @ X1 @ X0 @ X2))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.37/0.79 thf(zip_derived_cl244, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ X0 @ X1 @ X2) | (f @ X0 @ X2 @ (z @ X2 @ X0 @ X1)))),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl237, zip_derived_cl4])).
% 1.37/0.79 thf(zip_derived_cl1, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ X0 @ X1 @ (z @ X1 @ X0 @ X2))
% 1.37/0.79 | (f @ X1 @ X0 @ X2)
% 1.37/0.79 | ~ (f @ X2 @ X1 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.37/0.79 thf(zip_derived_cl246, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ X1 @ X0 @ X2) | (f @ X2 @ X1 @ X0) | ~ (f @ X0 @ X2 @ X1))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl244, zip_derived_cl1])).
% 1.37/0.79 thf(zip_derived_cl186, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ X1 @ X2) | (f @ X2 @ X0 @ X1) | ~ (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl176])).
% 1.37/0.79 thf(zip_derived_cl248, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ X0 @ X2 @ X1) | (f @ X2 @ X1 @ X0))),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl246, zip_derived_cl186])).
% 1.37/0.79 thf(zip_derived_cl250, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X2 @ (z @ X2 @ X1 @ X0) @ X1)
% 1.37/0.79 | (f @ X2 @ (z @ X2 @ X1 @ X0) @ X1))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl248])).
% 1.37/0.79 thf(zip_derived_cl265, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]: (f @ X2 @ (z @ X2 @ X1 @ X0) @ X1)),
% 1.37/0.79 inference('simplify', [status(thm)], [zip_derived_cl250])).
% 1.37/0.79 thf(zip_derived_cl248, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ X0 @ X2 @ X1) | (f @ X2 @ X1 @ X0))),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl246, zip_derived_cl186])).
% 1.37/0.79 thf(zip_derived_cl269, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]: (f @ (z @ X2 @ X0 @ X1) @ X0 @ X2)),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl265, zip_derived_cl248])).
% 1.37/0.79 thf(zip_derived_cl284, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ X1 @ X2) | (f @ X2 @ X0 @ X1))),
% 1.37/0.79 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl269])).
% 1.37/0.79 thf(zip_derived_cl5, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (f @ X0 @ (z @ X0 @ X1 @ X2) @ X1)
% 1.37/0.79 | (f @ X0 @ X1 @ X2)
% 1.37/0.79 | ~ (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.37/0.79 thf(zip_derived_cl265, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]: (f @ X2 @ (z @ X2 @ X1 @ X0) @ X1)),
% 1.37/0.79 inference('simplify', [status(thm)], [zip_derived_cl250])).
% 1.37/0.79 thf(zip_derived_cl268, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 ( (f @ X0 @ X1 @ X2) | ~ (f @ X1 @ X2 @ X0))),
% 1.37/0.79 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl265])).
% 1.37/0.79 thf(zip_derived_cl296, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]: (f @ X2 @ X0 @ X1)),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl284, zip_derived_cl268])).
% 1.37/0.79 thf(zip_derived_cl296, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]: (f @ X2 @ X0 @ X1)),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl284, zip_derived_cl268])).
% 1.37/0.79 thf(zip_derived_cl296, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]: (f @ X2 @ X0 @ X1)),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl284, zip_derived_cl268])).
% 1.37/0.79 thf(zip_derived_cl296, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]: (f @ X2 @ X0 @ X1)),
% 1.37/0.79 inference('clc', [status(thm)], [zip_derived_cl284, zip_derived_cl268])).
% 1.37/0.79 thf(zip_derived_cl297, plain, ($false),
% 1.37/0.79 inference('demod', [status(thm)],
% 1.37/0.79 [zip_derived_cl16, zip_derived_cl296, zip_derived_cl296,
% 1.37/0.79 zip_derived_cl296, zip_derived_cl296])).
% 1.37/0.79
% 1.37/0.79 % SZS output end Refutation
% 1.37/0.79
% 1.37/0.79
% 1.37/0.79 % Terminating...
% 1.79/0.86 % Runner terminated.
% 1.79/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------