%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO065^4.001 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zWfz5rmqRI true
% Computer : n024.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 05:06:21 PM UTC 2025
% Result : Theorem 79.61s 10.63s
% Output : Refutation 79.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SYO065^4.001 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zWfz5rmqRI true
% 0.10/0.32 % Computer : n024.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 18:18:23 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in HO mode
% 0.47/0.54 % Total configuration time : 828
% 0.47/0.54 % Estimated wc time : 1656
% 0.47/0.54 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.64 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.65 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.65 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.66 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.66 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.67 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.60/0.68 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.70 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 79.61/10.63 % Solved by lams/40_c_ic.sh.
% 79.61/10.63 % done 3079 iterations in 9.923s
% 79.61/10.63 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 79.61/10.63 % SZS output start Refutation
% 79.61/10.63 thf(iatom_type, type, iatom: ($i > $o) > $i > $o).
% 79.61/10.63 thf(zip_tseitin_12_type, type, zip_tseitin_12: $i > $o).
% 79.61/10.63 thf(p3_type, type, p3: $i > $o).
% 79.61/10.63 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $o).
% 79.61/10.63 thf(ivalid_type, type, ivalid: ($i > $o) > $o).
% 79.61/10.63 thf(p2_type, type, p2: $i > $o).
% 79.61/10.63 thf(zip_tseitin_13_type, type, zip_tseitin_13: $i > $i > $o).
% 79.61/10.63 thf(irel_type, type, irel: $i > $i > $o).
% 79.61/10.63 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 79.61/10.63 thf(zip_tseitin_8_type, type, zip_tseitin_8: $i > $o).
% 79.61/10.63 thf(zip_tseitin_11_type, type, zip_tseitin_11: $i > $i > $o).
% 79.61/10.63 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 79.61/10.63 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $o).
% 79.61/10.63 thf(sk__8_type, type, sk__8: $i > $i).
% 79.61/10.63 thf(sk__6_type, type, sk__6: $i > $i).
% 79.61/10.63 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $o).
% 79.61/10.63 thf(sk__13_type, type, sk__13: $i > $i).
% 79.61/10.63 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $o).
% 79.61/10.63 thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o).
% 79.61/10.63 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $o).
% 79.61/10.63 thf(iimplies_type, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
% 79.61/10.63 thf(sk__14_type, type, sk__14: $i).
% 79.61/10.63 thf(p1_type, type, p1: $i > $o).
% 79.61/10.63 thf(iand_type, type, iand: ($i > $o) > ($i > $o) > $i > $o).
% 79.61/10.63 thf(zip_tseitin_10_type, type, zip_tseitin_10: $i > $o).
% 79.61/10.63 thf(zip_tseitin_9_type, type, zip_tseitin_9: $i > $i > $o).
% 79.61/10.63 thf(zip_tseitin_15_type, type, zip_tseitin_15: $i > $i > $o).
% 79.61/10.63 thf(zip_tseitin_14_type, type, zip_tseitin_14: $i > $o).
% 79.61/10.63 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $i > $o).
% 79.61/10.63 thf(sk__10_type, type, sk__10: $i > $i).
% 79.61/10.63 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 79.61/10.63 thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
% 79.61/10.63 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 79.61/10.63 thf(zip_tseitin_16_type, type, zip_tseitin_16: $i > $o).
% 79.61/10.63 thf(sk__5_type, type, sk__5: $i > $i).
% 79.61/10.63 thf(sk__9_type, type, sk__9: $i > $i).
% 79.61/10.63 thf(sk__12_type, type, sk__12: $i > $i).
% 79.61/10.63 thf(sk__7_type, type, sk__7: $i > $i).
% 79.61/10.63 thf(iequiv_type, type, iequiv: ($i > $o) > ($i > $o) > $i > $o).
% 79.61/10.63 thf(zip_tseitin_17_type, type, zip_tseitin_17: $i > $i > $o).
% 79.61/10.63 thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 79.61/10.63 thf(sk__11_type, type, sk__11: $i > $i).
% 79.61/10.63 thf(ivalid, axiom,(( ivalid ) =
% 79.61/10.63 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))).
% 79.61/10.63 thf('0', plain,
% 79.61/10.63 (( ivalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )),
% 79.61/10.63 inference('simplify_rw_rule', [status(thm)], [ivalid])).
% 79.61/10.63 thf('1', plain,
% 79.61/10.63 (( ivalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )),
% 79.61/10.63 define([status(thm)])).
% 79.61/10.63 thf(iand, axiom,(( iand ) =
% 79.61/10.63 (^[P:( $i > $o ),Q:( $i > $o )]: ( mand @ P @ Q )))).
% 79.61/10.63 thf(mand, axiom,(( mand ) =
% 79.61/10.63 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) & ( Y @ U ) )))).
% 79.61/10.63 thf('2', plain,
% 79.61/10.63 (( mand ) =
% 79.61/10.63 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) & ( Y @ U ) ) )),
% 79.61/10.63 inference('simplify_rw_rule', [status(thm)], [mand])).
% 79.61/10.63 thf('3', plain,
% 79.61/10.63 (( mand ) =
% 79.61/10.63 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
% 79.61/10.63 ( ( V_1 @ V_3 ) & ( V_2 @ V_3 ) ) )),
% 79.61/10.63 define([status(thm)])).
% 79.61/10.63 thf('4', plain,
% 79.61/10.63 (( iand ) = ( ^[P:( $i > $o ),Q:( $i > $o )]: ( mand @ P @ Q ) )),
% 79.61/10.63 inference('simplify_rw_rule', [status(thm)], [iand, '3'])).
% 79.61/10.63 thf('5', plain,
% 79.61/10.63 (( iand ) = ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mand @ V_1 @ V_2 ) )),
% 79.61/10.63 define([status(thm)])).
% 79.61/10.63 thf(iatom, axiom,(( iatom ) = (^[P:( $i > $o )]: ( P )))).
% 79.61/10.63 thf('6', plain, (( iatom ) = ( ^[P:( $i > $o )]: ( P ) )),
% 79.61/10.63 inference('simplify_rw_rule', [status(thm)], [iatom])).
% 79.61/10.63 thf('7', plain, (( iatom ) = ( ^[V_1:( $i > $o )]: ( V_1 ) )),
% 79.61/10.63 define([status(thm)])).
% 79.61/10.63 thf(con, conjecture,
% 79.61/10.63 (ivalid @
% 79.61/10.63 ( iand @ ( iatom @ p1 ) @ ( iand @ ( iatom @ p2 ) @ ( iatom @ p3 ) ) ))).
% 79.61/10.63 thf(zf_stmt_0, conjecture,
% 79.61/10.63 (![X4:$i]: ( ( p1 @ X4 ) & ( p2 @ X4 ) & ( p3 @ X4 ) ))).
% 79.61/10.63 thf(zf_stmt_1, negated_conjecture,
% 79.61/10.63 (~( ![X4:$i]: ( ( p1 @ X4 ) & ( p2 @ X4 ) & ( p3 @ X4 ) ) )),
% 79.61/10.63 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 79.61/10.63 thf(zip_derived_cl44, plain,
% 79.61/10.63 ((~ (p1 @ sk__14) | ~ (p2 @ sk__14) | ~ (p3 @ sk__14))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_1])).
% 79.61/10.63 thf(iequiv, axiom,(( iequiv ) =
% 79.61/10.63 (^[P:( $i > $o ),Q:( $i > $o )]:
% 79.61/10.63 ( iand @ ( iimplies @ P @ Q ) @ ( iimplies @ Q @ P ) )))).
% 79.61/10.63 thf(iimplies, axiom,(( iimplies ) =
% 79.61/10.63 (^[P:( $i > $o ),Q:( $i > $o )]:
% 79.61/10.63 ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) )))).
% 79.61/10.63 thf(mbox_s4, axiom,(( mbox_s4 ) =
% 79.61/10.63 (^[P:( $i > $o ),X:$i]: ( ![Y:$i]: ( ( irel @ X @ Y ) => ( P @ Y ) ) )))).
% 79.61/10.63 thf('8', plain,
% 79.61/10.63 (( mbox_s4 ) =
% 79.61/10.63 ( ^[P:( $i > $o ),X:$i]: ( ![Y:$i]: ( ( irel @ X @ Y ) => ( P @ Y ) ) ) )),
% 79.61/10.63 inference('simplify_rw_rule', [status(thm)], [mbox_s4])).
% 79.61/10.63 thf('9', plain,
% 79.61/10.63 (( mbox_s4 ) =
% 79.61/10.63 ( ^[V_1:( $i > $o ),V_2:$i]:
% 79.61/10.63 ( ![X4:$i]: ( ( irel @ V_2 @ X4 ) => ( V_1 @ X4 ) ) ) )),
% 79.61/10.63 define([status(thm)])).
% 79.61/10.63 thf(mimplies, axiom,(( mimplies ) =
% 79.61/10.63 (^[U:( $i > $o ),V:( $i > $o )]: ( mor @ ( mnot @ U ) @ V )))).
% 79.61/10.63 thf(mor, axiom,(( mor ) =
% 79.61/10.63 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) )))).
% 79.61/10.63 thf('10', plain,
% 79.61/10.63 (( mor ) =
% 79.61/10.63 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) ) )),
% 79.61/10.63 inference('simplify_rw_rule', [status(thm)], [mor])).
% 79.61/10.63 thf('11', plain,
% 79.61/10.63 (( mor ) =
% 79.61/10.63 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
% 79.61/10.63 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )),
% 79.61/10.63 define([status(thm)])).
% 79.61/10.63 thf(mnot, axiom,(( mnot ) = (^[X:( $i > $o ),U:$i]: ( ~( X @ U ) )))).
% 79.61/10.63 thf('12', plain, (( mnot ) = ( ^[X:( $i > $o ),U:$i]: ( ~( X @ U ) ) )),
% 79.61/10.63 inference('simplify_rw_rule', [status(thm)], [mnot])).
% 79.61/10.63 thf('13', plain,
% 79.61/10.63 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )),
% 79.61/10.63 define([status(thm)])).
% 79.61/10.63 thf('14', plain,
% 79.61/10.63 (( mimplies ) =
% 79.61/10.63 ( ^[U:( $i > $o ),V:( $i > $o )]: ( mor @ ( mnot @ U ) @ V ) )),
% 79.61/10.63 inference('simplify_rw_rule', [status(thm)], [mimplies, '11', '13'])).
% 79.61/10.63 thf('15', plain,
% 79.61/10.63 (( mimplies ) =
% 79.61/10.63 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )),
% 79.61/10.63 define([status(thm)])).
% 79.61/10.63 thf('16', plain,
% 79.61/10.63 (( iimplies ) =
% 79.61/10.63 ( ^[P:( $i > $o ),Q:( $i > $o )]:
% 79.61/10.63 ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) )),
% 79.61/10.63 inference('simplify_rw_rule', [status(thm)], [iimplies, '9', '15'])).
% 79.61/10.63 thf('17', plain,
% 79.61/10.63 (( iimplies ) =
% 79.61/10.63 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]:
% 79.61/10.63 ( mimplies @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) )),
% 79.61/10.63 define([status(thm)])).
% 79.61/10.63 thf('18', plain,
% 79.61/10.63 (( iequiv ) =
% 79.61/10.63 ( ^[P:( $i > $o ),Q:( $i > $o )]:
% 79.61/10.63 ( iand @ ( iimplies @ P @ Q ) @ ( iimplies @ Q @ P ) ) )),
% 79.61/10.63 inference('simplify_rw_rule', [status(thm)],
% 79.61/10.63 [iequiv, '17', '5', '9', '15', '3', '11', '13'])).
% 79.61/10.63 thf('19', plain,
% 79.61/10.63 (( iequiv ) =
% 79.61/10.63 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]:
% 79.61/10.63 ( iand @ ( iimplies @ V_1 @ V_2 ) @ ( iimplies @ V_2 @ V_1 ) ) )),
% 79.61/10.63 define([status(thm)])).
% 79.61/10.63 thf(axiom3, axiom,
% 79.61/10.63 (ivalid @
% 79.61/10.63 ( iimplies @
% 79.61/10.63 ( iequiv @ ( iatom @ p3 ) @ ( iatom @ p1 ) ) @
% 79.61/10.63 ( iand @ ( iatom @ p1 ) @ ( iand @ ( iatom @ p2 ) @ ( iatom @ p3 ) ) ) ))).
% 79.61/10.63 thf(zf_stmt_2, axiom,
% 79.61/10.63 (![X4:$i]:
% 79.61/10.63 ( ( ![X16:$i]:
% 79.61/10.63 ( ( irel @ X4 @ X16 ) =>
% 79.61/10.63 ( ( p3 @ X16 ) & ( p2 @ X16 ) & ( p1 @ X16 ) ) ) ) |
% 79.61/10.63 ( ~( ![X6:$i]:
% 79.61/10.63 ( ( irel @ X4 @ X6 ) =>
% 79.61/10.63 ( ( ( ![X14:$i]: ( ( irel @ X6 @ X14 ) => ( p3 @ X14 ) ) ) |
% 79.61/10.63 ( ~( ![X12:$i]: ( ( irel @ X6 @ X12 ) => ( p1 @ X12 ) ) ) ) ) &
% 79.61/10.63 ( ( ![X10:$i]: ( ( irel @ X6 @ X10 ) => ( p1 @ X10 ) ) ) |
% 79.61/10.63 ( ~( ![X8:$i]: ( ( irel @ X6 @ X8 ) => ( p3 @ X8 ) ) ) ) ) ) ) ) ) ))).
% 79.61/10.63 thf(zf_stmt_3, axiom,
% 79.61/10.63 (![X16:$i]:
% 79.61/10.63 ( ( zip_tseitin_12 @ X16 ) =>
% 79.61/10.63 ( ( p1 @ X16 ) & ( p2 @ X16 ) & ( p3 @ X16 ) ) ))).
% 79.61/10.63 thf(zip_derived_cl32, plain,
% 79.61/10.63 (![X0 : $i]: ( (p3 @ X0) | ~ (zip_tseitin_12 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_3])).
% 79.61/10.63 thf(axiom2, axiom,
% 79.61/10.63 (ivalid @
% 79.61/10.63 ( iimplies @
% 79.61/10.63 ( iequiv @ ( iatom @ p2 ) @ ( iatom @ p3 ) ) @
% 79.61/10.63 ( iand @ ( iatom @ p1 ) @ ( iand @ ( iatom @ p2 ) @ ( iatom @ p3 ) ) ) ))).
% 79.61/10.63 thf(zf_stmt_4, axiom,
% 79.61/10.63 (![X4:$i]:
% 79.61/10.63 ( ( ![X16:$i]:
% 79.61/10.63 ( ( irel @ X4 @ X16 ) =>
% 79.61/10.63 ( ( p3 @ X16 ) & ( p2 @ X16 ) & ( p1 @ X16 ) ) ) ) |
% 79.61/10.63 ( ~( ![X6:$i]:
% 79.61/10.63 ( ( irel @ X4 @ X6 ) =>
% 79.61/10.63 ( ( ( ![X14:$i]: ( ( irel @ X6 @ X14 ) => ( p2 @ X14 ) ) ) |
% 79.61/10.63 ( ~( ![X12:$i]: ( ( irel @ X6 @ X12 ) => ( p3 @ X12 ) ) ) ) ) &
% 79.61/10.63 ( ( ![X10:$i]: ( ( irel @ X6 @ X10 ) => ( p3 @ X10 ) ) ) |
% 79.61/10.63 ( ~( ![X8:$i]: ( ( irel @ X6 @ X8 ) => ( p2 @ X8 ) ) ) ) ) ) ) ) ) ))).
% 79.61/10.63 thf(zf_stmt_5, axiom,
% 79.61/10.63 (![X16:$i]:
% 79.61/10.63 ( ( zip_tseitin_6 @ X16 ) =>
% 79.61/10.63 ( ( p1 @ X16 ) & ( p2 @ X16 ) & ( p3 @ X16 ) ) ))).
% 79.61/10.63 thf(zip_derived_cl18, plain,
% 79.61/10.63 (![X0 : $i]: ( (p3 @ X0) | ~ (zip_tseitin_6 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_5])).
% 79.61/10.63 thf(axiom1, axiom,
% 79.61/10.63 (ivalid @
% 79.61/10.63 ( iimplies @
% 79.61/10.63 ( iequiv @ ( iatom @ p1 ) @ ( iatom @ p2 ) ) @
% 79.61/10.63 ( iand @ ( iatom @ p1 ) @ ( iand @ ( iatom @ p2 ) @ ( iatom @ p3 ) ) ) ))).
% 79.61/10.63 thf(zf_stmt_6, axiom,
% 79.61/10.63 (![X4:$i]:
% 79.61/10.63 ( ( ![X16:$i]:
% 79.61/10.63 ( ( irel @ X4 @ X16 ) =>
% 79.61/10.63 ( ( p3 @ X16 ) & ( p2 @ X16 ) & ( p1 @ X16 ) ) ) ) |
% 79.61/10.63 ( ~( ![X6:$i]:
% 79.61/10.63 ( ( irel @ X4 @ X6 ) =>
% 79.61/10.63 ( ( ( ![X14:$i]: ( ( irel @ X6 @ X14 ) => ( p1 @ X14 ) ) ) |
% 79.61/10.63 ( ~( ![X12:$i]: ( ( irel @ X6 @ X12 ) => ( p2 @ X12 ) ) ) ) ) &
% 79.61/10.63 ( ( ![X10:$i]: ( ( irel @ X6 @ X10 ) => ( p2 @ X10 ) ) ) |
% 79.61/10.63 ( ~( ![X8:$i]: ( ( irel @ X6 @ X8 ) => ( p1 @ X8 ) ) ) ) ) ) ) ) ) ))).
% 79.61/10.63 thf(zf_stmt_7, axiom,
% 79.61/10.63 (![X6:$i]:
% 79.61/10.63 ( ( ( ~( ![X12:$i]: ( ( irel @ X6 @ X12 ) => ( p2 @ X12 ) ) ) ) |
% 79.61/10.63 ( ![X14:$i]: ( zip_tseitin_1 @ X14 @ X6 ) ) ) =>
% 79.61/10.63 ( zip_tseitin_2 @ X6 ) ))).
% 79.61/10.63 thf(zip_derived_cl8, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (zip_tseitin_2 @ X0) | ~ (zip_tseitin_1 @ (sk__5 @ X0) @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_7])).
% 79.61/10.63 thf(zf_stmt_8, axiom,
% 79.61/10.63 (![X14:$i,X6:$i]:
% 79.61/10.63 ( ( ( irel @ X6 @ X14 ) => ( p1 @ X14 ) ) => ( zip_tseitin_1 @ X14 @ X6 ) ))).
% 79.61/10.63 thf(zip_derived_cl6, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]: ( (zip_tseitin_1 @ X0 @ X1) | (irel @ X1 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_8])).
% 79.61/10.63 thf(zip_derived_cl53, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | (irel @ X0 @ (sk__5 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 79.61/10.63 thf(zf_stmt_9, axiom,
% 79.61/10.63 (![X6:$i,X4:$i]:
% 79.61/10.63 ( ( ( irel @ X4 @ X6 ) =>
% 79.61/10.63 ( ( zip_tseitin_16 @ X6 ) & ( zip_tseitin_14 @ X6 ) ) ) =>
% 79.61/10.63 ( zip_tseitin_17 @ X6 @ X4 ) ))).
% 79.61/10.63 thf(zip_derived_cl42, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]: ( (zip_tseitin_17 @ X0 @ X1) | (irel @ X1 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_9])).
% 79.61/10.63 thf(zf_stmt_10, type, zip_tseitin_17 : $i > $i > $o).
% 79.61/10.63 thf(zf_stmt_11, type, zip_tseitin_16 : $i > $o).
% 79.61/10.63 thf(zf_stmt_12, axiom,
% 79.61/10.63 (![X6:$i]:
% 79.61/10.63 ( ( ( ~( ![X8:$i]: ( ( irel @ X6 @ X8 ) => ( p3 @ X8 ) ) ) ) |
% 79.61/10.63 ( ![X10:$i]: ( zip_tseitin_15 @ X10 @ X6 ) ) ) =>
% 79.61/10.63 ( zip_tseitin_16 @ X6 ) ))).
% 79.61/10.63 thf(zf_stmt_13, type, zip_tseitin_15 : $i > $i > $o).
% 79.61/10.63 thf(zf_stmt_14, axiom,
% 79.61/10.63 (![X10:$i,X6:$i]:
% 79.61/10.63 ( ( ( irel @ X6 @ X10 ) => ( p1 @ X10 ) ) => ( zip_tseitin_15 @ X10 @ X6 ) ))).
% 79.61/10.63 thf(zf_stmt_15, type, zip_tseitin_14 : $i > $o).
% 79.61/10.63 thf(zf_stmt_16, axiom,
% 79.61/10.63 (![X6:$i]:
% 79.61/10.63 ( ( ( ~( ![X12:$i]: ( ( irel @ X6 @ X12 ) => ( p1 @ X12 ) ) ) ) |
% 79.61/10.63 ( ![X14:$i]: ( zip_tseitin_13 @ X14 @ X6 ) ) ) =>
% 79.61/10.63 ( zip_tseitin_14 @ X6 ) ))).
% 79.61/10.63 thf(zf_stmt_17, type, zip_tseitin_13 : $i > $i > $o).
% 79.61/10.63 thf(zf_stmt_18, axiom,
% 79.61/10.63 (![X14:$i,X6:$i]:
% 79.61/10.63 ( ( ( irel @ X6 @ X14 ) => ( p3 @ X14 ) ) => ( zip_tseitin_13 @ X14 @ X6 ) ))).
% 79.61/10.63 thf(zf_stmt_19, type, zip_tseitin_12 : $i > $o).
% 79.61/10.63 thf(zf_stmt_20, axiom,
% 79.61/10.63 (![X4:$i]:
% 79.61/10.63 ( ( ~( ![X6:$i]: ( zip_tseitin_17 @ X6 @ X4 ) ) ) |
% 79.61/10.63 ( ![X16:$i]: ( ( irel @ X4 @ X16 ) => ( zip_tseitin_12 @ X16 ) ) ) ))).
% 79.61/10.63 thf(zip_derived_cl43, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 (~ (zip_tseitin_17 @ (sk__13 @ X0) @ X0)
% 79.61/10.63 | ~ (irel @ X0 @ X1)
% 79.61/10.63 | (zip_tseitin_12 @ X1))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_20])).
% 79.61/10.63 thf(zip_derived_cl121, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 ( (irel @ X0 @ (sk__13 @ X0))
% 79.61/10.63 | (zip_tseitin_12 @ X1)
% 79.61/10.63 | ~ (irel @ X0 @ X1))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl43])).
% 79.61/10.63 thf(zip_derived_cl362, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (zip_tseitin_2 @ X0)
% 79.61/10.63 | (zip_tseitin_12 @ (sk__5 @ X0))
% 79.61/10.63 | (irel @ X0 @ (sk__13 @ X0)))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl121])).
% 79.61/10.63 thf(zip_derived_cl30, plain,
% 79.61/10.63 (![X0 : $i]: ( (p1 @ X0) | ~ (zip_tseitin_12 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_3])).
% 79.61/10.63 thf(zip_derived_cl4452, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (irel @ X0 @ (sk__13 @ X0))
% 79.61/10.63 | (zip_tseitin_2 @ X0)
% 79.61/10.63 | (p1 @ (sk__5 @ X0)))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl362, zip_derived_cl30])).
% 79.61/10.63 thf(zip_derived_cl8, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (zip_tseitin_2 @ X0) | ~ (zip_tseitin_1 @ (sk__5 @ X0) @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_7])).
% 79.61/10.63 thf(zip_derived_cl5, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]: ( (zip_tseitin_1 @ X0 @ X1) | ~ (p1 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_8])).
% 79.61/10.63 thf(zip_derived_cl54, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | ~ (p1 @ (sk__5 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 79.61/10.63 thf(zip_derived_cl13384, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | (irel @ X0 @ (sk__13 @ X0)))),
% 79.61/10.63 inference('clc', [status(thm)], [zip_derived_cl4452, zip_derived_cl54])).
% 79.61/10.63 thf(zf_stmt_21, axiom,
% 79.61/10.63 (![X6:$i]:
% 79.61/10.63 ( ( ( ~( ![X8:$i]: ( ( irel @ X6 @ X8 ) => ( p2 @ X8 ) ) ) ) |
% 79.61/10.63 ( ![X10:$i]: ( zip_tseitin_9 @ X10 @ X6 ) ) ) =>
% 79.61/10.63 ( zip_tseitin_10 @ X6 ) ))).
% 79.61/10.63 thf(zip_derived_cl25, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 ( (zip_tseitin_10 @ X0) | (p2 @ X1) | ~ (irel @ X0 @ X1))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_21])).
% 79.61/10.63 thf(refl_axiom, axiom, (![X:$i]: ( irel @ X @ X ))).
% 79.61/10.63 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 79.61/10.63 inference('cnf', [status(esa)], [refl_axiom])).
% 79.61/10.63 thf(zip_derived_cl121, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 ( (irel @ X0 @ (sk__13 @ X0))
% 79.61/10.63 | (zip_tseitin_12 @ X1)
% 79.61/10.63 | ~ (irel @ X0 @ X1))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl43])).
% 79.61/10.63 thf(zip_derived_cl363, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_12 @ X0) | (irel @ X0 @ (sk__13 @ X0)))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl121])).
% 79.61/10.63 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 79.61/10.63 inference('cnf', [status(esa)], [refl_axiom])).
% 79.61/10.63 thf(zip_derived_cl30, plain,
% 79.61/10.63 (![X0 : $i]: ( (p1 @ X0) | ~ (zip_tseitin_12 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_3])).
% 79.61/10.63 thf(zf_stmt_22, axiom,
% 79.61/10.63 (![X16:$i]:
% 79.61/10.63 ( ( zip_tseitin_0 @ X16 ) =>
% 79.61/10.63 ( ( p1 @ X16 ) & ( p2 @ X16 ) & ( p3 @ X16 ) ) ))).
% 79.61/10.63 thf(zip_derived_cl4, plain,
% 79.61/10.63 (![X0 : $i]: ( (p3 @ X0) | ~ (zip_tseitin_0 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_22])).
% 79.61/10.63 thf(zip_derived_cl2, plain,
% 79.61/10.63 (![X0 : $i]: ( (p1 @ X0) | ~ (zip_tseitin_0 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_22])).
% 79.61/10.63 thf(zf_stmt_23, axiom,
% 79.61/10.63 (![X6:$i]:
% 79.61/10.63 ( ( ( ~( ![X12:$i]: ( ( irel @ X6 @ X12 ) => ( p3 @ X12 ) ) ) ) |
% 79.61/10.63 ( ![X14:$i]: ( zip_tseitin_7 @ X14 @ X6 ) ) ) =>
% 79.61/10.63 ( zip_tseitin_8 @ X6 ) ))).
% 79.61/10.63 thf(zip_derived_cl22, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (zip_tseitin_8 @ X0) | ~ (zip_tseitin_7 @ (sk__8 @ X0) @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_23])).
% 79.61/10.63 thf(zf_stmt_24, axiom,
% 79.61/10.63 (![X14:$i,X6:$i]:
% 79.61/10.63 ( ( ( irel @ X6 @ X14 ) => ( p2 @ X14 ) ) => ( zip_tseitin_7 @ X14 @ X6 ) ))).
% 79.61/10.63 thf(zip_derived_cl20, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]: ( (zip_tseitin_7 @ X0 @ X1) | (irel @ X1 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_24])).
% 79.61/10.63 thf(zip_derived_cl81, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_8 @ X0) | (irel @ X0 @ (sk__8 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl20])).
% 79.61/10.63 thf(zip_derived_cl121, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 ( (irel @ X0 @ (sk__13 @ X0))
% 79.61/10.63 | (zip_tseitin_12 @ X1)
% 79.61/10.63 | ~ (irel @ X0 @ X1))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl43])).
% 79.61/10.63 thf(zip_derived_cl358, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (zip_tseitin_8 @ X0)
% 79.61/10.63 | (zip_tseitin_12 @ (sk__8 @ X0))
% 79.61/10.63 | (irel @ X0 @ (sk__13 @ X0)))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl121])).
% 79.61/10.63 thf(zip_derived_cl31, plain,
% 79.61/10.63 (![X0 : $i]: ( (p2 @ X0) | ~ (zip_tseitin_12 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_3])).
% 79.61/10.63 thf(zip_derived_cl4127, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (irel @ X0 @ (sk__13 @ X0))
% 79.61/10.63 | (zip_tseitin_8 @ X0)
% 79.61/10.63 | (p2 @ (sk__8 @ X0)))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl358, zip_derived_cl31])).
% 79.61/10.63 thf(zip_derived_cl22, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (zip_tseitin_8 @ X0) | ~ (zip_tseitin_7 @ (sk__8 @ X0) @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_23])).
% 79.61/10.63 thf(zip_derived_cl19, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]: ( (zip_tseitin_7 @ X0 @ X1) | ~ (p2 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_24])).
% 79.61/10.63 thf(zip_derived_cl82, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_8 @ X0) | ~ (p2 @ (sk__8 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl19])).
% 79.61/10.63 thf(zip_derived_cl11833, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_8 @ X0) | (irel @ X0 @ (sk__13 @ X0)))),
% 79.61/10.63 inference('clc', [status(thm)], [zip_derived_cl4127, zip_derived_cl82])).
% 79.61/10.63 thf(zf_stmt_25, axiom,
% 79.61/10.63 (![X6:$i,X4:$i]:
% 79.61/10.63 ( ( ( irel @ X4 @ X6 ) =>
% 79.61/10.63 ( ( zip_tseitin_4 @ X6 ) & ( zip_tseitin_2 @ X6 ) ) ) =>
% 79.61/10.63 ( zip_tseitin_5 @ X6 @ X4 ) ))).
% 79.61/10.63 thf(zip_derived_cl13, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 ( (zip_tseitin_5 @ X0 @ X1)
% 79.61/10.63 | ~ (zip_tseitin_4 @ X0)
% 79.61/10.63 | ~ (zip_tseitin_2 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_25])).
% 79.61/10.63 thf(zf_stmt_26, type, zip_tseitin_5 : $i > $i > $o).
% 79.61/10.63 thf(zf_stmt_27, type, zip_tseitin_4 : $i > $o).
% 79.61/10.63 thf(zf_stmt_28, axiom,
% 79.61/10.63 (![X6:$i]:
% 79.61/10.63 ( ( ( ~( ![X8:$i]: ( ( irel @ X6 @ X8 ) => ( p1 @ X8 ) ) ) ) |
% 79.61/10.63 ( ![X10:$i]: ( zip_tseitin_3 @ X10 @ X6 ) ) ) =>
% 79.61/10.63 ( zip_tseitin_4 @ X6 ) ))).
% 79.61/10.63 thf(zf_stmt_29, type, zip_tseitin_3 : $i > $i > $o).
% 79.61/10.63 thf(zf_stmt_30, axiom,
% 79.61/10.63 (![X10:$i,X6:$i]:
% 79.61/10.63 ( ( ( irel @ X6 @ X10 ) => ( p2 @ X10 ) ) => ( zip_tseitin_3 @ X10 @ X6 ) ))).
% 79.61/10.63 thf(zf_stmt_31, type, zip_tseitin_2 : $i > $o).
% 79.61/10.63 thf(zf_stmt_32, type, zip_tseitin_1 : $i > $i > $o).
% 79.61/10.63 thf(zf_stmt_33, type, zip_tseitin_0 : $i > $o).
% 79.61/10.63 thf(zf_stmt_34, axiom,
% 79.61/10.63 (![X4:$i]:
% 79.61/10.63 ( ( ~( ![X6:$i]: ( zip_tseitin_5 @ X6 @ X4 ) ) ) |
% 79.61/10.63 ( ![X16:$i]: ( ( irel @ X4 @ X16 ) => ( zip_tseitin_0 @ X16 ) ) ) ))).
% 79.61/10.63 thf(zip_derived_cl15, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 (~ (zip_tseitin_5 @ (sk__7 @ X0) @ X0)
% 79.61/10.63 | ~ (irel @ X0 @ X1)
% 79.61/10.63 | (zip_tseitin_0 @ X1))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_34])).
% 79.61/10.63 thf(zip_derived_cl78, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 (~ (zip_tseitin_2 @ (sk__7 @ X0))
% 79.61/10.63 | ~ (zip_tseitin_4 @ (sk__7 @ X0))
% 79.61/10.63 | (zip_tseitin_0 @ X1)
% 79.61/10.63 | ~ (irel @ X0 @ X1))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl15])).
% 79.61/10.63 thf(zip_derived_cl35, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 ( (zip_tseitin_14 @ X0) | (p1 @ X1) | ~ (irel @ X0 @ X1))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_16])).
% 79.61/10.63 thf(zip_derived_cl14, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]: ( (zip_tseitin_5 @ X0 @ X1) | (irel @ X1 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_25])).
% 79.61/10.63 thf(zip_derived_cl15, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 (~ (zip_tseitin_5 @ (sk__7 @ X0) @ X0)
% 79.61/10.63 | ~ (irel @ X0 @ X1)
% 79.61/10.63 | (zip_tseitin_0 @ X1))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_34])).
% 79.61/10.63 thf(zip_derived_cl77, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 ( (irel @ X0 @ (sk__7 @ X0))
% 79.61/10.63 | (zip_tseitin_0 @ X1)
% 79.61/10.63 | ~ (irel @ X0 @ X1))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl15])).
% 79.61/10.63 thf(zip_derived_cl21, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 ( (zip_tseitin_8 @ X0) | (p3 @ X1) | ~ (irel @ X0 @ X1))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_23])).
% 79.61/10.63 thf(zip_derived_cl12, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (zip_tseitin_4 @ X0) | ~ (zip_tseitin_3 @ (sk__6 @ X0) @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_28])).
% 79.61/10.63 thf(zip_derived_cl9, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]: ( (zip_tseitin_3 @ X0 @ X1) | ~ (p2 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_30])).
% 79.61/10.63 thf(zip_derived_cl64, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_4 @ X0) | ~ (p2 @ (sk__6 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl9])).
% 79.61/10.63 thf(zip_derived_cl12, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (zip_tseitin_4 @ X0) | ~ (zip_tseitin_3 @ (sk__6 @ X0) @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_28])).
% 79.61/10.63 thf(zip_derived_cl10, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]: ( (zip_tseitin_3 @ X0 @ X1) | (irel @ X1 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_30])).
% 79.61/10.63 thf(zip_derived_cl63, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_4 @ X0) | (irel @ X0 @ (sk__6 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 79.61/10.63 thf(zip_derived_cl31, plain,
% 79.61/10.63 (![X0 : $i]: ( (p2 @ X0) | ~ (zip_tseitin_12 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_3])).
% 79.61/10.63 thf(zip_derived_cl36, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (zip_tseitin_14 @ X0) | ~ (zip_tseitin_13 @ (sk__11 @ X0) @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_16])).
% 79.61/10.63 thf(zip_derived_cl33, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]: ( (zip_tseitin_13 @ X0 @ X1) | ~ (p3 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_18])).
% 79.61/10.63 thf(zip_derived_cl102, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_14 @ X0) | ~ (p3 @ (sk__11 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl33])).
% 79.61/10.63 thf(zip_derived_cl36, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (zip_tseitin_14 @ X0) | ~ (zip_tseitin_13 @ (sk__11 @ X0) @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_16])).
% 79.61/10.63 thf(zip_derived_cl34, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]: ( (zip_tseitin_13 @ X0 @ X1) | (irel @ X1 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_18])).
% 79.61/10.63 thf(zip_derived_cl101, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_14 @ X0) | (irel @ X0 @ (sk__11 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl34])).
% 79.61/10.63 thf(zip_derived_cl53, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | (irel @ X0 @ (sk__5 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 79.61/10.63 thf(zf_stmt_35, axiom,
% 79.61/10.63 (![X6:$i,X4:$i]:
% 79.61/10.63 ( ( ( irel @ X4 @ X6 ) =>
% 79.61/10.63 ( ( zip_tseitin_10 @ X6 ) & ( zip_tseitin_8 @ X6 ) ) ) =>
% 79.61/10.63 ( zip_tseitin_11 @ X6 @ X4 ) ))).
% 79.61/10.63 thf(zip_derived_cl28, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]: ( (zip_tseitin_11 @ X0 @ X1) | (irel @ X1 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_35])).
% 79.61/10.63 thf(zf_stmt_36, type, zip_tseitin_11 : $i > $i > $o).
% 79.61/10.63 thf(zf_stmt_37, type, zip_tseitin_10 : $i > $o).
% 79.61/10.63 thf(zf_stmt_38, type, zip_tseitin_9 : $i > $i > $o).
% 79.61/10.63 thf(zf_stmt_39, axiom,
% 79.61/10.63 (![X10:$i,X6:$i]:
% 79.61/10.63 ( ( ( irel @ X6 @ X10 ) => ( p3 @ X10 ) ) => ( zip_tseitin_9 @ X10 @ X6 ) ))).
% 79.61/10.63 thf(zf_stmt_40, type, zip_tseitin_8 : $i > $o).
% 79.61/10.63 thf(zf_stmt_41, type, zip_tseitin_7 : $i > $i > $o).
% 79.61/10.63 thf(zf_stmt_42, type, zip_tseitin_6 : $i > $o).
% 79.61/10.63 thf(zf_stmt_43, axiom,
% 79.61/10.63 (![X4:$i]:
% 79.61/10.63 ( ( ~( ![X6:$i]: ( zip_tseitin_11 @ X6 @ X4 ) ) ) |
% 79.61/10.63 ( ![X16:$i]: ( ( irel @ X4 @ X16 ) => ( zip_tseitin_6 @ X16 ) ) ) ))).
% 79.61/10.63 thf(zip_derived_cl29, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 (~ (zip_tseitin_11 @ (sk__10 @ X0) @ X0)
% 79.61/10.63 | ~ (irel @ X0 @ X1)
% 79.61/10.63 | (zip_tseitin_6 @ X1))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_43])).
% 79.61/10.63 thf(zip_derived_cl117, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 ( (irel @ X0 @ (sk__10 @ X0))
% 79.61/10.63 | (zip_tseitin_6 @ X1)
% 79.61/10.63 | ~ (irel @ X0 @ X1))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl29])).
% 79.61/10.63 thf(zip_derived_cl284, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (zip_tseitin_2 @ X0)
% 79.61/10.63 | (zip_tseitin_6 @ (sk__5 @ X0))
% 79.61/10.63 | (irel @ X0 @ (sk__10 @ X0)))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl117])).
% 79.61/10.63 thf(zip_derived_cl16, plain,
% 79.61/10.63 (![X0 : $i]: ( (p1 @ X0) | ~ (zip_tseitin_6 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_5])).
% 79.61/10.63 thf(zip_derived_cl2126, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (irel @ X0 @ (sk__10 @ X0))
% 79.61/10.63 | (zip_tseitin_2 @ X0)
% 79.61/10.63 | (p1 @ (sk__5 @ X0)))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl284, zip_derived_cl16])).
% 79.61/10.63 thf(zip_derived_cl54, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | ~ (p1 @ (sk__5 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 79.61/10.63 thf(zip_derived_cl8893, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | (irel @ X0 @ (sk__10 @ X0)))),
% 79.61/10.63 inference('clc', [status(thm)], [zip_derived_cl2126, zip_derived_cl54])).
% 79.61/10.63 thf(zip_derived_cl26, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (zip_tseitin_10 @ X0) | ~ (zip_tseitin_9 @ (sk__9 @ X0) @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_21])).
% 79.61/10.63 thf(zip_derived_cl23, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]: ( (zip_tseitin_9 @ X0 @ X1) | ~ (p3 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_39])).
% 79.61/10.63 thf(zip_derived_cl94, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_10 @ X0) | ~ (p3 @ (sk__9 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl23])).
% 79.61/10.63 thf(zip_derived_cl26, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (zip_tseitin_10 @ X0) | ~ (zip_tseitin_9 @ (sk__9 @ X0) @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_21])).
% 79.61/10.63 thf(zip_derived_cl24, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]: ( (zip_tseitin_9 @ X0 @ X1) | (irel @ X1 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_39])).
% 79.61/10.63 thf(zip_derived_cl93, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_10 @ X0) | (irel @ X0 @ (sk__9 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl24])).
% 79.61/10.63 thf(zip_derived_cl39, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 ( (zip_tseitin_16 @ X0) | (p3 @ X1) | ~ (irel @ X0 @ X1))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_12])).
% 79.61/10.63 thf(zip_derived_cl63, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_4 @ X0) | (irel @ X0 @ (sk__6 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl10])).
% 79.61/10.63 thf(zip_derived_cl121, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 ( (irel @ X0 @ (sk__13 @ X0))
% 79.61/10.63 | (zip_tseitin_12 @ X1)
% 79.61/10.63 | ~ (irel @ X0 @ X1))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl43])).
% 79.61/10.63 thf(zip_derived_cl361, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (zip_tseitin_4 @ X0)
% 79.61/10.63 | (zip_tseitin_12 @ (sk__6 @ X0))
% 79.61/10.63 | (irel @ X0 @ (sk__13 @ X0)))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl121])).
% 79.61/10.63 thf(zip_derived_cl31, plain,
% 79.61/10.63 (![X0 : $i]: ( (p2 @ X0) | ~ (zip_tseitin_12 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_3])).
% 79.61/10.63 thf(zip_derived_cl4322, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (irel @ X0 @ (sk__13 @ X0))
% 79.61/10.63 | (zip_tseitin_4 @ X0)
% 79.61/10.63 | (p2 @ (sk__6 @ X0)))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl361, zip_derived_cl31])).
% 79.61/10.63 thf(zip_derived_cl64, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_4 @ X0) | ~ (p2 @ (sk__6 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl9])).
% 79.61/10.63 thf(zip_derived_cl12858, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_4 @ X0) | (irel @ X0 @ (sk__13 @ X0)))),
% 79.61/10.63 inference('clc', [status(thm)], [zip_derived_cl4322, zip_derived_cl64])).
% 79.61/10.63 thf(zip_derived_cl41, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 ( (zip_tseitin_17 @ X0 @ X1)
% 79.61/10.63 | ~ (zip_tseitin_16 @ X0)
% 79.61/10.63 | ~ (zip_tseitin_14 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_9])).
% 79.61/10.63 thf(zip_derived_cl43, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 (~ (zip_tseitin_17 @ (sk__13 @ X0) @ X0)
% 79.61/10.63 | ~ (irel @ X0 @ X1)
% 79.61/10.63 | (zip_tseitin_12 @ X1))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_20])).
% 79.61/10.63 thf(zip_derived_cl122, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 (~ (zip_tseitin_14 @ (sk__13 @ X0))
% 79.61/10.63 | ~ (zip_tseitin_16 @ (sk__13 @ X0))
% 79.61/10.63 | (zip_tseitin_12 @ X1)
% 79.61/10.63 | ~ (irel @ X0 @ X1))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl43])).
% 79.61/10.63 thf(zip_derived_cl54, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | ~ (p1 @ (sk__5 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 79.61/10.63 thf(zip_derived_cl53, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | (irel @ X0 @ (sk__5 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 79.61/10.63 thf(zip_derived_cl16, plain,
% 79.61/10.63 (![X0 : $i]: ( (p1 @ X0) | ~ (zip_tseitin_6 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_5])).
% 79.61/10.63 thf(zip_derived_cl82, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_8 @ X0) | ~ (p2 @ (sk__8 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl19])).
% 79.61/10.63 thf(zip_derived_cl81, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_8 @ X0) | (irel @ X0 @ (sk__8 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl20])).
% 79.61/10.63 thf(zip_derived_cl7, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 ( (zip_tseitin_2 @ X0) | (p2 @ X1) | ~ (irel @ X0 @ X1))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_7])).
% 79.61/10.63 thf(zip_derived_cl27, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 ( (zip_tseitin_11 @ X0 @ X1)
% 79.61/10.63 | ~ (zip_tseitin_10 @ X0)
% 79.61/10.63 | ~ (zip_tseitin_8 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_35])).
% 79.61/10.63 thf(zip_derived_cl29, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 (~ (zip_tseitin_11 @ (sk__10 @ X0) @ X0)
% 79.61/10.63 | ~ (irel @ X0 @ X1)
% 79.61/10.63 | (zip_tseitin_6 @ X1))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_43])).
% 79.61/10.63 thf(zip_derived_cl118, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 (~ (zip_tseitin_8 @ (sk__10 @ X0))
% 79.61/10.63 | ~ (zip_tseitin_10 @ (sk__10 @ X0))
% 79.61/10.63 | (zip_tseitin_6 @ X1)
% 79.61/10.63 | ~ (irel @ X0 @ X1))),
% 79.61/10.63 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl29])).
% 79.61/10.63 thf(zip_derived_cl40, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (zip_tseitin_16 @ X0) | ~ (zip_tseitin_15 @ (sk__12 @ X0) @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_12])).
% 79.61/10.63 thf(zip_derived_cl37, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]: ( (zip_tseitin_15 @ X0 @ X1) | ~ (p1 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_14])).
% 79.61/10.63 thf(zip_derived_cl110, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_16 @ X0) | ~ (p1 @ (sk__12 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl37])).
% 79.61/10.63 thf(zip_derived_cl40, plain,
% 79.61/10.63 (![X0 : $i]:
% 79.61/10.63 ( (zip_tseitin_16 @ X0) | ~ (zip_tseitin_15 @ (sk__12 @ X0) @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_12])).
% 79.61/10.63 thf(zip_derived_cl38, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]: ( (zip_tseitin_15 @ X0 @ X1) | (irel @ X1 @ X0))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_14])).
% 79.61/10.63 thf(zip_derived_cl109, plain,
% 79.61/10.63 (![X0 : $i]: ( (zip_tseitin_16 @ X0) | (irel @ X0 @ (sk__12 @ X0)))),
% 79.61/10.63 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl38])).
% 79.61/10.63 thf(zip_derived_cl11, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i]:
% 79.61/10.63 ( (zip_tseitin_4 @ X0) | (p1 @ X1) | ~ (irel @ X0 @ X1))),
% 79.61/10.63 inference('cnf', [status(esa)], [zf_stmt_28])).
% 79.61/10.63 thf(trans_axiom, axiom,
% 79.61/10.63 (![X:$i,Y:$i,Z:$i]:
% 79.61/10.63 ( ( ( irel @ X @ Y ) & ( irel @ Y @ Z ) ) => ( irel @ X @ Z ) ))).
% 79.61/10.63 thf(zip_derived_cl1, plain,
% 79.61/10.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.61/10.63 (~ (irel @ X0 @ X1) | ~ (irel @ X1 @ X2) | (irel @ X0 @ X2))),
% 79.61/10.63 inference('cnf', [status(esa)], [trans_axiom])).
% 79.61/10.63 thf(zip_derived_cl42687, plain, ($false),
% 79.61/10.63 inference('eprover', [status(thm)],
% 79.61/10.63 [zip_derived_cl44, zip_derived_cl32, zip_derived_cl18,
% 79.61/10.63 zip_derived_cl13384, zip_derived_cl25, zip_derived_cl363,
% 79.61/10.63 zip_derived_cl0, zip_derived_cl30, zip_derived_cl4,
% 79.61/10.63 zip_derived_cl2, zip_derived_cl11833, zip_derived_cl78,
% 79.61/10.63 zip_derived_cl35, zip_derived_cl77, zip_derived_cl21,
% 79.61/10.63 zip_derived_cl64, zip_derived_cl63, zip_derived_cl31,
% 79.61/10.63 zip_derived_cl102, zip_derived_cl101, zip_derived_cl8893,
% 79.61/10.63 zip_derived_cl94, zip_derived_cl93, zip_derived_cl39,
% 79.61/10.63 zip_derived_cl12858, zip_derived_cl122, zip_derived_cl54,
% 79.61/10.63 zip_derived_cl53, zip_derived_cl16, zip_derived_cl82,
% 79.61/10.63 zip_derived_cl81, zip_derived_cl7, zip_derived_cl118,
% 79.61/10.63 zip_derived_cl110, zip_derived_cl109, zip_derived_cl11,
% 79.61/10.63 zip_derived_cl1])).
% 79.61/10.63
% 79.61/10.63 % SZS output end Refutation
% 79.61/10.63
% 79.61/10.63
% 79.61/10.63 % Terminating...
% 79.77/10.69 % Runner terminated.
% 79.77/10.70 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------