%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO060^4 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O2H4DdmPfG true
% Computer : n017.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 05:06:20 PM UTC 2025
% Result : Theorem 0.43s 1.04s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.23 % Problem : SYO060^4 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.25 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O2H4DdmPfG true
% 0.12/0.46 % Computer : n017.cluster.edu
% 0.12/0.46 % Model : x86_64 x86_64
% 0.12/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.46 % Memory : 8042.1875MB
% 0.12/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.46 % CPULimit : 300
% 0.12/0.46 % WCLimit : 300
% 0.12/0.46 % DateTime : Wed Oct 1 17:58:08 EDT 2025
% 0.12/0.46 % CPUTime :
% 0.12/0.46 % Running portfolio for 300 s
% 0.12/0.46 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.46 % Number of cores: 8
% 0.12/0.46 % Python version: Python 3.6.8
% 0.12/0.46 % Running in HO mode
% 0.41/0.73 % Total configuration time : 828
% 0.41/0.73 % Estimated wc time : 1656
% 0.41/0.73 % Estimated cpu time (8 cpus) : 207.0
% 0.43/0.87 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.43/0.89 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.43/0.89 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.43/0.89 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.43/0.92 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.43/0.92 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.43/0.94 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.43/0.94 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.43/1.04 % Solved by lams/40_c_ic.sh.
% 0.43/1.04 % done 177 iterations in 0.098s
% 0.43/1.04 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.43/1.04 % SZS output start Refutation
% 0.43/1.04 thf(iatom_type, type, iatom: ($i > $o) > $i > $o).
% 0.43/1.04 thf(sk__7_type, type, sk__7: $i).
% 0.43/1.04 thf(ivalid_type, type, ivalid: ($i > $o) > $o).
% 0.43/1.04 thf(b_type, type, b: $i > $o).
% 0.43/1.04 thf(sk__8_type, type, sk__8: $i).
% 0.43/1.04 thf(irel_type, type, irel: $i > $i > $o).
% 0.43/1.04 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.43/1.04 thf(sk__6_type, type, sk__6: $i > $i).
% 0.43/1.04 thf(ior_type, type, ior: ($i > $o) > ($i > $o) > $i > $o).
% 0.43/1.04 thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o).
% 0.43/1.04 thf(a_type, type, a: $i > $o).
% 0.43/1.04 thf(sk__5_type, type, sk__5: $i > $i).
% 0.43/1.04 thf(sk__9_type, type, sk__9: $i).
% 0.43/1.04 thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
% 0.43/1.04 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.43/1.04 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.43/1.04 thf(inot_type, type, inot: ($i > $o) > $i > $o).
% 0.43/1.04 thf(ivalid, axiom,(( ivalid ) =
% 0.43/1.04 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))).
% 0.43/1.04 thf('0', plain,
% 0.43/1.04 (( ivalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )),
% 0.43/1.04 inference('simplify_rw_rule', [status(thm)], [ivalid])).
% 0.43/1.04 thf('1', plain,
% 0.43/1.04 (( ivalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )),
% 0.43/1.04 define([status(thm)])).
% 0.43/1.04 thf(ior, axiom,(( ior ) =
% 0.43/1.04 (^[P:( $i > $o ),Q:( $i > $o )]:
% 0.43/1.04 ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) )))).
% 0.43/1.04 thf(mbox_s4, axiom,(( mbox_s4 ) =
% 0.43/1.04 (^[P:( $i > $o ),X:$i]: ( ![Y:$i]: ( ( irel @ X @ Y ) => ( P @ Y ) ) )))).
% 0.43/1.04 thf('2', plain,
% 0.43/1.04 (( mbox_s4 ) =
% 0.43/1.04 ( ^[P:( $i > $o ),X:$i]: ( ![Y:$i]: ( ( irel @ X @ Y ) => ( P @ Y ) ) ) )),
% 0.43/1.04 inference('simplify_rw_rule', [status(thm)], [mbox_s4])).
% 0.43/1.04 thf('3', plain,
% 0.43/1.04 (( mbox_s4 ) =
% 0.43/1.04 ( ^[V_1:( $i > $o ),V_2:$i]:
% 0.43/1.04 ( ![X4:$i]: ( ( irel @ V_2 @ X4 ) => ( V_1 @ X4 ) ) ) )),
% 0.43/1.04 define([status(thm)])).
% 0.43/1.04 thf(mor, axiom,(( mor ) =
% 0.43/1.04 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) )))).
% 0.43/1.04 thf('4', plain,
% 0.43/1.04 (( mor ) =
% 0.43/1.04 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) ) )),
% 0.43/1.04 inference('simplify_rw_rule', [status(thm)], [mor])).
% 0.43/1.04 thf('5', plain,
% 0.43/1.04 (( mor ) =
% 0.43/1.04 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
% 0.43/1.04 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )),
% 0.43/1.04 define([status(thm)])).
% 0.43/1.04 thf('6', plain,
% 0.43/1.04 (( ior ) =
% 0.43/1.04 ( ^[P:( $i > $o ),Q:( $i > $o )]:
% 0.43/1.04 ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) )),
% 0.43/1.04 inference('simplify_rw_rule', [status(thm)], [ior, '3', '5'])).
% 0.43/1.04 thf('7', plain,
% 0.43/1.04 (( ior ) =
% 0.43/1.04 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]:
% 0.43/1.04 ( mor @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) )),
% 0.43/1.04 define([status(thm)])).
% 0.43/1.04 thf(inot, axiom,(( inot ) = (^[P:( $i > $o )]: ( mnot @ ( mbox_s4 @ P ) )))).
% 0.43/1.04 thf(mnot, axiom,(( mnot ) = (^[X:( $i > $o ),U:$i]: ( ~( X @ U ) )))).
% 0.43/1.04 thf('8', plain, (( mnot ) = ( ^[X:( $i > $o ),U:$i]: ( ~( X @ U ) ) )),
% 0.43/1.04 inference('simplify_rw_rule', [status(thm)], [mnot])).
% 0.43/1.04 thf('9', plain,
% 0.43/1.04 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )),
% 0.43/1.04 define([status(thm)])).
% 0.43/1.04 thf('10', plain,
% 0.43/1.04 (( inot ) = ( ^[P:( $i > $o )]: ( mnot @ ( mbox_s4 @ P ) ) )),
% 0.43/1.04 inference('simplify_rw_rule', [status(thm)], [inot, '3', '9'])).
% 0.43/1.04 thf('11', plain,
% 0.43/1.04 (( inot ) = ( ^[V_1:( $i > $o )]: ( mnot @ ( mbox_s4 @ V_1 ) ) )),
% 0.43/1.04 define([status(thm)])).
% 0.43/1.04 thf(iatom, axiom,(( iatom ) = (^[P:( $i > $o )]: ( P )))).
% 0.43/1.04 thf('12', plain, (( iatom ) = ( ^[P:( $i > $o )]: ( P ) )),
% 0.43/1.04 inference('simplify_rw_rule', [status(thm)], [iatom])).
% 0.43/1.04 thf('13', plain, (( iatom ) = ( ^[V_1:( $i > $o )]: ( V_1 ) )),
% 0.43/1.04 define([status(thm)])).
% 0.43/1.04 thf(con, conjecture,
% 0.43/1.04 (ivalid @ ( ior @ ( inot @ ( iatom @ b ) ) @ ( inot @ ( iatom @ a ) ) ))).
% 0.43/1.04 thf(zf_stmt_0, conjecture,
% 0.43/1.04 (![X4:$i]:
% 0.43/1.04 ( ( ![X6:$i]:
% 0.43/1.04 ( ( irel @ X4 @ X6 ) =>
% 0.43/1.04 ( ~( ![X8:$i]: ( ( irel @ X6 @ X8 ) => ( b @ X8 ) ) ) ) ) ) |
% 0.43/1.04 ( ![X10:$i]:
% 0.43/1.04 ( ( irel @ X4 @ X10 ) =>
% 0.43/1.04 ( ~( ![X12:$i]: ( ( irel @ X10 @ X12 ) => ( a @ X12 ) ) ) ) ) ) ))).
% 0.43/1.04 thf(zf_stmt_1, negated_conjecture,
% 0.43/1.04 (~( ![X4:$i]:
% 0.43/1.04 ( ( ![X6:$i]:
% 0.43/1.04 ( ( irel @ X4 @ X6 ) =>
% 0.43/1.04 ( ~( ![X8:$i]: ( ( irel @ X6 @ X8 ) => ( b @ X8 ) ) ) ) ) ) |
% 0.43/1.04 ( ![X10:$i]:
% 0.43/1.04 ( ( irel @ X4 @ X10 ) =>
% 0.43/1.04 ( ~( ![X12:$i]: ( ( irel @ X10 @ X12 ) => ( a @ X12 ) ) ) ) ) ) ) )),
% 0.43/1.04 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 0.43/1.04 thf(zip_derived_cl8, plain, ( (irel @ sk__7 @ sk__9)),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/1.04 thf(zip_derived_cl7, plain,
% 0.43/1.04 (![X0 : $i]: ( (a @ X0) | ~ (irel @ sk__9 @ X0))),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/1.04 thf(zip_derived_cl10, plain, ( (irel @ sk__7 @ sk__8)),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/1.04 thf(zip_derived_cl9, plain,
% 0.43/1.04 (![X1 : $i]: ( (b @ X1) | ~ (irel @ sk__8 @ X1))),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/1.04 thf(zip_derived_cl8, plain, ( (irel @ sk__7 @ sk__9)),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/1.04 thf(axiom1, axiom,
% 0.43/1.04 (ivalid @ ( ior @ ( inot @ ( iatom @ a ) ) @ ( inot @ ( iatom @ b ) ) ))).
% 0.43/1.04 thf(zf_stmt_2, axiom,
% 0.43/1.04 (![X4:$i]:
% 0.43/1.04 ( ( ![X10:$i]:
% 0.43/1.04 ( ( irel @ X4 @ X10 ) =>
% 0.43/1.04 ( ~( ![X12:$i]: ( ( irel @ X10 @ X12 ) => ( b @ X12 ) ) ) ) ) ) |
% 0.43/1.04 ( ![X6:$i]:
% 0.43/1.04 ( ( irel @ X4 @ X6 ) =>
% 0.43/1.04 ( ~( ![X8:$i]: ( ( irel @ X6 @ X8 ) => ( a @ X8 ) ) ) ) ) ) ))).
% 0.43/1.04 thf(zf_stmt_3, axiom,
% 0.43/1.04 (![X12:$i,X10:$i]:
% 0.43/1.04 ( ( ( irel @ X10 @ X12 ) => ( b @ X12 ) ) => ( zip_tseitin_0 @ X12 @ X10 ) ))).
% 0.43/1.04 thf(zip_derived_cl3, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | (irel @ X1 @ X0))),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.43/1.04 thf(zf_stmt_4, axiom,
% 0.43/1.04 (![X8:$i,X6:$i]:
% 0.43/1.04 ( ( ( irel @ X6 @ X8 ) => ( a @ X8 ) ) => ( zip_tseitin_1 @ X8 @ X6 ) ))).
% 0.43/1.04 thf(zip_derived_cl4, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i]: ( (zip_tseitin_1 @ X0 @ X1) | ~ (a @ X0))),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.43/1.04 thf(zf_stmt_5, type, zip_tseitin_1 : $i > $i > $o).
% 0.43/1.04 thf(zf_stmt_6, type, zip_tseitin_0 : $i > $i > $o).
% 0.43/1.04 thf(zf_stmt_7, axiom,
% 0.43/1.04 (![X4:$i]:
% 0.43/1.04 ( ( ![X6:$i]:
% 0.43/1.04 ( ( irel @ X4 @ X6 ) => ( ~( ![X8:$i]: ( zip_tseitin_1 @ X8 @ X6 ) ) ) ) ) |
% 0.43/1.04 ( ![X10:$i]:
% 0.43/1.04 ( ( irel @ X4 @ X10 ) =>
% 0.43/1.04 ( ~( ![X12:$i]: ( zip_tseitin_0 @ X12 @ X10 ) ) ) ) ) ))).
% 0.43/1.04 thf(zip_derived_cl6, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/1.04 (~ (irel @ X0 @ X1)
% 0.43/1.04 | ~ (zip_tseitin_1 @ (sk__5 @ X1) @ X1)
% 0.43/1.04 | ~ (irel @ X0 @ X2)
% 0.43/1.04 | ~ (zip_tseitin_0 @ (sk__6 @ X2) @ X2))),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.43/1.04 thf(zip_derived_cl40, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/1.04 (~ (a @ (sk__5 @ X0))
% 0.43/1.04 | ~ (zip_tseitin_0 @ (sk__6 @ X1) @ X1)
% 0.43/1.04 | ~ (irel @ X2 @ X1)
% 0.43/1.04 | ~ (irel @ X2 @ X0))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl6])).
% 0.43/1.04 thf(zip_derived_cl47, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/1.04 ( (irel @ X0 @ (sk__6 @ X0))
% 0.43/1.04 | ~ (irel @ X2 @ X1)
% 0.43/1.04 | ~ (irel @ X2 @ X0)
% 0.43/1.04 | ~ (a @ (sk__5 @ X1)))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl40])).
% 0.43/1.04 thf(zip_derived_cl97, plain,
% 0.43/1.04 (![X0 : $i]:
% 0.43/1.04 (~ (a @ (sk__5 @ sk__9))
% 0.43/1.04 | ~ (irel @ sk__7 @ X0)
% 0.43/1.04 | (irel @ X0 @ (sk__6 @ X0)))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl47])).
% 0.43/1.04 thf(zip_derived_cl215, plain,
% 0.43/1.04 (( (b @ (sk__6 @ sk__8))
% 0.43/1.04 | ~ (irel @ sk__7 @ sk__8)
% 0.43/1.04 | ~ (a @ (sk__5 @ sk__9)))),
% 0.43/1.04 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl97])).
% 0.43/1.04 thf(zip_derived_cl10, plain, ( (irel @ sk__7 @ sk__8)),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/1.04 thf(zip_derived_cl237, plain,
% 0.43/1.04 (( (b @ (sk__6 @ sk__8)) | ~ (a @ (sk__5 @ sk__9)))),
% 0.43/1.04 inference('demod', [status(thm)], [zip_derived_cl215, zip_derived_cl10])).
% 0.43/1.04 thf(zip_derived_cl10, plain, ( (irel @ sk__7 @ sk__8)),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/1.04 thf(zip_derived_cl8, plain, ( (irel @ sk__7 @ sk__9)),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/1.04 thf(zip_derived_cl3, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | (irel @ X1 @ X0))),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.43/1.04 thf(zip_derived_cl5, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i]: ( (zip_tseitin_1 @ X0 @ X1) | (irel @ X1 @ X0))),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.43/1.04 thf(zip_derived_cl6, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/1.04 (~ (irel @ X0 @ X1)
% 0.43/1.04 | ~ (zip_tseitin_1 @ (sk__5 @ X1) @ X1)
% 0.43/1.04 | ~ (irel @ X0 @ X2)
% 0.43/1.04 | ~ (zip_tseitin_0 @ (sk__6 @ X2) @ X2))),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.43/1.04 thf(zip_derived_cl39, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/1.04 ( (irel @ X0 @ (sk__5 @ X0))
% 0.43/1.04 | ~ (zip_tseitin_0 @ (sk__6 @ X1) @ X1)
% 0.43/1.04 | ~ (irel @ X2 @ X1)
% 0.43/1.04 | ~ (irel @ X2 @ X0))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 0.43/1.04 thf(zip_derived_cl43, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/1.04 ( (irel @ X0 @ (sk__6 @ X0))
% 0.43/1.04 | ~ (irel @ X2 @ X1)
% 0.43/1.04 | ~ (irel @ X2 @ X0)
% 0.43/1.04 | (irel @ X1 @ (sk__5 @ X1)))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl39])).
% 0.43/1.04 thf(zip_derived_cl51, plain,
% 0.43/1.04 (![X0 : $i]:
% 0.43/1.04 ( (irel @ sk__9 @ (sk__5 @ sk__9))
% 0.43/1.04 | ~ (irel @ sk__7 @ X0)
% 0.43/1.04 | (irel @ X0 @ (sk__6 @ X0)))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl43])).
% 0.43/1.04 thf(zip_derived_cl60, plain,
% 0.43/1.04 (( (irel @ sk__8 @ (sk__6 @ sk__8)) | (irel @ sk__9 @ (sk__5 @ sk__9)))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl51])).
% 0.43/1.04 thf(zip_derived_cl7, plain,
% 0.43/1.04 (![X0 : $i]: ( (a @ X0) | ~ (irel @ sk__9 @ X0))),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/1.04 thf(zip_derived_cl113, plain,
% 0.43/1.04 (( (irel @ sk__8 @ (sk__6 @ sk__8)) | (a @ (sk__5 @ sk__9)))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl7])).
% 0.43/1.04 thf(zip_derived_cl9, plain,
% 0.43/1.04 (![X1 : $i]: ( (b @ X1) | ~ (irel @ sk__8 @ X1))),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/1.04 thf(zip_derived_cl127, plain,
% 0.43/1.04 (( (a @ (sk__5 @ sk__9)) | (b @ (sk__6 @ sk__8)))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl9])).
% 0.43/1.04 thf(zip_derived_cl255, plain, ( (b @ (sk__6 @ sk__8))),
% 0.43/1.04 inference('clc', [status(thm)], [zip_derived_cl237, zip_derived_cl127])).
% 0.43/1.04 thf(zip_derived_cl2, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | ~ (b @ X0))),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.43/1.04 thf(zip_derived_cl39, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/1.04 ( (irel @ X0 @ (sk__5 @ X0))
% 0.43/1.04 | ~ (zip_tseitin_0 @ (sk__6 @ X1) @ X1)
% 0.43/1.04 | ~ (irel @ X2 @ X1)
% 0.43/1.04 | ~ (irel @ X2 @ X0))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 0.43/1.04 thf(zip_derived_cl44, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/1.04 (~ (b @ (sk__6 @ X0))
% 0.43/1.04 | ~ (irel @ X2 @ X1)
% 0.43/1.04 | ~ (irel @ X2 @ X0)
% 0.43/1.04 | (irel @ X1 @ (sk__5 @ X1)))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl39])).
% 0.43/1.04 thf(zip_derived_cl257, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i]:
% 0.43/1.04 ( (irel @ X0 @ (sk__5 @ X0))
% 0.43/1.04 | ~ (irel @ X1 @ sk__8)
% 0.43/1.04 | ~ (irel @ X1 @ X0))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl255, zip_derived_cl44])).
% 0.43/1.04 thf(zip_derived_cl391, plain,
% 0.43/1.04 (![X0 : $i]: (~ (irel @ sk__7 @ X0) | (irel @ X0 @ (sk__5 @ X0)))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl257])).
% 0.43/1.04 thf(zip_derived_cl506, plain,
% 0.43/1.04 (( (a @ (sk__5 @ sk__9)) | ~ (irel @ sk__7 @ sk__9))),
% 0.43/1.04 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl391])).
% 0.43/1.04 thf(zip_derived_cl8, plain, ( (irel @ sk__7 @ sk__9)),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/1.04 thf(zip_derived_cl538, plain, ( (a @ (sk__5 @ sk__9))),
% 0.43/1.04 inference('demod', [status(thm)], [zip_derived_cl506, zip_derived_cl8])).
% 0.43/1.04 thf(zip_derived_cl255, plain, ( (b @ (sk__6 @ sk__8))),
% 0.43/1.04 inference('clc', [status(thm)], [zip_derived_cl237, zip_derived_cl127])).
% 0.43/1.04 thf(zip_derived_cl2, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | ~ (b @ X0))),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.43/1.04 thf(zip_derived_cl40, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/1.04 (~ (a @ (sk__5 @ X0))
% 0.43/1.04 | ~ (zip_tseitin_0 @ (sk__6 @ X1) @ X1)
% 0.43/1.04 | ~ (irel @ X2 @ X1)
% 0.43/1.04 | ~ (irel @ X2 @ X0))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl6])).
% 0.43/1.04 thf(zip_derived_cl48, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.43/1.04 (~ (b @ (sk__6 @ X0))
% 0.43/1.04 | ~ (irel @ X2 @ X1)
% 0.43/1.04 | ~ (irel @ X2 @ X0)
% 0.43/1.04 | ~ (a @ (sk__5 @ X1)))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl40])).
% 0.43/1.04 thf(zip_derived_cl256, plain,
% 0.43/1.04 (![X0 : $i, X1 : $i]:
% 0.43/1.04 (~ (a @ (sk__5 @ X0)) | ~ (irel @ X1 @ sk__8) | ~ (irel @ X1 @ X0))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl255, zip_derived_cl48])).
% 0.43/1.04 thf(zip_derived_cl574, plain,
% 0.43/1.04 (![X0 : $i]: (~ (irel @ X0 @ sk__9) | ~ (irel @ X0 @ sk__8))),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl538, zip_derived_cl256])).
% 0.43/1.04 thf(zip_derived_cl580, plain, (~ (irel @ sk__7 @ sk__8)),
% 0.43/1.04 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl574])).
% 0.43/1.04 thf(zip_derived_cl10, plain, ( (irel @ sk__7 @ sk__8)),
% 0.43/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.43/1.04 thf(zip_derived_cl584, plain, ($false),
% 0.43/1.04 inference('demod', [status(thm)], [zip_derived_cl580, zip_derived_cl10])).
% 0.43/1.04
% 0.43/1.04 % SZS output end Refutation
% 0.43/1.04
% 0.43/1.04
% 0.43/1.04 % Terminating...
% 1.21/1.19 % Runner terminated.
% 1.22/1.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------