%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO068^4.010 : 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.ueKUcIjW4u true
% Computer : n020.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 05:06:23 PM UTC 2025
% Result : Theorem 0.63s 1.03s
% Output : Refutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO068^4.010 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ueKUcIjW4u true
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 18:19:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.54/0.71 % Total configuration time : 828
% 0.54/0.71 % Estimated wc time : 1656
% 0.54/0.71 % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.83 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.83 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.61/0.91 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.62/0.91 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.62/0.92 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 0.62/0.92 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 0.62/1.00 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s
% 0.62/1.00 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s
% 0.63/1.03 % Solved by lams/40_noforms.sh.
% 0.63/1.03 % done 87 iterations in 0.133s
% 0.63/1.03 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.63/1.03 % SZS output start Refutation
% 0.63/1.03 thf(iatom_type, type, iatom: ($i > $o) > $i > $o).
% 0.63/1.03 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $i > $o).
% 0.63/1.03 thf(p10_type, type, p10: $i > $o).
% 0.63/1.03 thf(zip_tseitin_8_type, type, zip_tseitin_8: $i > $i > $o).
% 0.63/1.03 thf(sk__7_type, type, sk__7: $i > $i).
% 0.63/1.03 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 0.63/1.03 thf(ivalid_type, type, ivalid: ($i > $o) > $o).
% 0.63/1.03 thf(sk__5_type, type, sk__5: $i > $i).
% 0.63/1.03 thf(sk__12_type, type, sk__12: $i > $i).
% 0.63/1.03 thf(p1_type, type, p1: $i > $o).
% 0.63/1.03 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 0.63/1.03 thf(irel_type, type, irel: $i > $i > $o).
% 0.63/1.03 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $o).
% 0.63/1.03 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.63/1.03 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.63/1.03 thf(p9_type, type, p9: $i > $o).
% 0.63/1.03 thf(sk__3_type, type, sk__3: $i > $i).
% 0.63/1.03 thf(sk__6_type, type, sk__6: $i > $i).
% 0.63/1.03 thf(sk__10_type, type, sk__10: $i > $i).
% 0.63/1.03 thf(sk__2_type, type, sk__2: $i > $i).
% 0.63/1.03 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.63/1.03 thf(sk__19_type, type, sk__19: $i > $i).
% 0.63/1.03 thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o).
% 0.63/1.03 thf(sk__17_type, type, sk__17: $i > $i).
% 0.63/1.03 thf(p3_type, type, p3: $i > $o).
% 0.63/1.03 thf(sk__4_type, type, sk__4: $i > $i).
% 0.63/1.03 thf(iimplies_type, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.63/1.03 thf(p0_type, type, p0: $i > $o).
% 0.63/1.03 thf(sk__16_type, type, sk__16: $i > $i).
% 0.63/1.03 thf(sk__14_type, type, sk__14: $i > $i).
% 0.63/1.03 thf(p5_type, type, p5: $i > $o).
% 0.63/1.03 thf(p7_type, type, p7: $i > $o).
% 0.63/1.03 thf(p4_type, type, p4: $i > $o).
% 0.63/1.03 thf(sk__8_type, type, sk__8: $i > $i).
% 0.63/1.03 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.63/1.03 thf(sk__20_type, type, sk__20: $i > $i).
% 0.63/1.03 thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
% 0.63/1.03 thf(sk__21_type, type, sk__21: $i > $i).
% 0.63/1.03 thf(p6_type, type, p6: $i > $o).
% 0.63/1.03 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $o).
% 0.63/1.03 thf(p8_type, type, p8: $i > $o).
% 0.63/1.03 thf(p2_type, type, p2: $i > $o).
% 0.63/1.03 thf(sk__11_type, type, sk__11: $i > $i).
% 0.63/1.03 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $o).
% 0.63/1.03 thf(zip_tseitin_9_type, type, zip_tseitin_9: $i > $i > $o).
% 0.63/1.03 thf(sk__15_type, type, sk__15: $i > $i).
% 0.63/1.03 thf(sk__9_type, type, sk__9: $i > $i).
% 0.63/1.03 thf(sk__18_type, type, sk__18: $i > $i).
% 0.63/1.03 thf(sk__13_type, type, sk__13: $i > $i).
% 0.63/1.03 thf(sk__22_type, type, sk__22: $i).
% 0.63/1.03 thf(ivalid, axiom,(( ivalid ) =
% 0.63/1.03 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))).
% 0.63/1.03 thf('0', plain,
% 0.63/1.03 (( ivalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )),
% 0.63/1.03 inference('simplify_rw_rule', [status(thm)], [ivalid])).
% 0.63/1.03 thf('1', plain,
% 0.63/1.03 (( ivalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )),
% 0.63/1.03 define([status(thm)])).
% 0.63/1.03 thf(iatom, axiom,(( iatom ) = (^[P:( $i > $o )]: ( P )))).
% 0.63/1.03 thf('2', plain, (( iatom ) = ( ^[P:( $i > $o )]: ( P ) )),
% 0.63/1.03 inference('simplify_rw_rule', [status(thm)], [iatom])).
% 0.63/1.03 thf('3', plain, (( iatom ) = ( ^[V_1:( $i > $o )]: ( V_1 ) )),
% 0.63/1.03 define([status(thm)])).thf(con, conjecture, (ivalid @ ( iatom @ p0 ))).
% 0.63/1.03 thf(zf_stmt_0, conjecture, (![X4:$i]: ( p0 @ X4 ))).
% 0.63/1.03 thf(zf_stmt_1, negated_conjecture, (~( ![X4:$i]: ( p0 @ X4 ) )),
% 0.63/1.03 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 0.63/1.03 thf(zip_derived_cl33, plain, (~ (p0 @ sk__22)),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.63/1.03 thf(iimplies, axiom,(( iimplies ) =
% 0.63/1.03 (^[P:( $i > $o ),Q:( $i > $o )]:
% 0.63/1.03 ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) )))).
% 0.63/1.03 thf(mbox_s4, axiom,(( mbox_s4 ) =
% 0.63/1.03 (^[P:( $i > $o ),X:$i]: ( ![Y:$i]: ( ( irel @ X @ Y ) => ( P @ Y ) ) )))).
% 0.63/1.03 thf('4', plain,
% 0.63/1.03 (( mbox_s4 ) =
% 0.63/1.03 ( ^[P:( $i > $o ),X:$i]: ( ![Y:$i]: ( ( irel @ X @ Y ) => ( P @ Y ) ) ) )),
% 0.63/1.03 inference('simplify_rw_rule', [status(thm)], [mbox_s4])).
% 0.63/1.03 thf('5', plain,
% 0.63/1.03 (( mbox_s4 ) =
% 0.63/1.03 ( ^[V_1:( $i > $o ),V_2:$i]:
% 0.63/1.03 ( ![X4:$i]: ( ( irel @ V_2 @ X4 ) => ( V_1 @ X4 ) ) ) )),
% 0.63/1.03 define([status(thm)])).
% 0.63/1.03 thf(mimplies, axiom,(( mimplies ) =
% 0.63/1.03 (^[U:( $i > $o ),V:( $i > $o )]: ( mor @ ( mnot @ U ) @ V )))).
% 0.63/1.03 thf(mor, axiom,(( mor ) =
% 0.63/1.03 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) )))).
% 0.63/1.03 thf('6', plain,
% 0.63/1.03 (( mor ) =
% 0.63/1.03 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) ) )),
% 0.63/1.03 inference('simplify_rw_rule', [status(thm)], [mor])).
% 0.63/1.03 thf('7', plain,
% 0.63/1.03 (( mor ) =
% 0.63/1.03 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
% 0.63/1.03 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )),
% 0.63/1.03 define([status(thm)])).
% 0.63/1.03 thf(mnot, axiom,(( mnot ) = (^[X:( $i > $o ),U:$i]: ( ~( X @ U ) )))).
% 0.63/1.03 thf('8', plain, (( mnot ) = ( ^[X:( $i > $o ),U:$i]: ( ~( X @ U ) ) )),
% 0.63/1.03 inference('simplify_rw_rule', [status(thm)], [mnot])).
% 0.63/1.03 thf('9', plain,
% 0.63/1.03 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )),
% 0.63/1.03 define([status(thm)])).
% 0.63/1.03 thf('10', plain,
% 0.63/1.03 (( mimplies ) =
% 0.63/1.03 ( ^[U:( $i > $o ),V:( $i > $o )]: ( mor @ ( mnot @ U ) @ V ) )),
% 0.63/1.03 inference('simplify_rw_rule', [status(thm)], [mimplies, '7', '9'])).
% 0.63/1.03 thf('11', plain,
% 0.63/1.03 (( mimplies ) =
% 0.63/1.03 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )),
% 0.63/1.03 define([status(thm)])).
% 0.63/1.03 thf('12', plain,
% 0.63/1.03 (( iimplies ) =
% 0.63/1.03 ( ^[P:( $i > $o ),Q:( $i > $o )]:
% 0.63/1.03 ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) )),
% 0.63/1.03 inference('simplify_rw_rule', [status(thm)], [iimplies, '5', '11'])).
% 0.63/1.03 thf('13', plain,
% 0.63/1.03 (( iimplies ) =
% 0.63/1.03 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]:
% 0.63/1.03 ( mimplies @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) )),
% 0.63/1.03 define([status(thm)])).
% 0.63/1.03 thf(axiom2, axiom,
% 0.63/1.03 (ivalid @
% 0.63/1.03 ( iimplies @
% 0.63/1.03 ( iatom @ p1 ) @ ( iimplies @ ( iatom @ p1 ) @ ( iatom @ p0 ) ) ))).
% 0.63/1.03 thf(zf_stmt_2, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p0 @ X12 ) ) ) |
% 0.63/1.03 ( ~( ![X10:$i]: ( ( irel @ X8 @ X10 ) => ( p1 @ X10 ) ) ) ) ) ) ) |
% 0.63/1.03 ( ~( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( p1 @ X6 ) ) ) ) ))).
% 0.63/1.03 thf(zf_stmt_3, axiom,
% 0.63/1.03 (![X10:$i,X8:$i]:
% 0.63/1.03 ( ( ( irel @ X8 @ X10 ) => ( p1 @ X10 ) ) => ( zip_tseitin_0 @ X10 @ X8 ) ))).
% 0.63/1.03 thf(zip_derived_cl3, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | ~ (p1 @ X0))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.63/1.03 thf(zip_derived_cl3, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | ~ (p1 @ X0))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.63/1.03 thf(zf_stmt_4, type, zip_tseitin_0 : $i > $i > $o).
% 0.63/1.03 thf(zf_stmt_5, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ~( ![X6:$i]: ( zip_tseitin_0 @ X6 @ X4 ) ) ) |
% 0.63/1.03 ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ~( ![X10:$i]: ( zip_tseitin_0 @ X10 @ X8 ) ) ) |
% 0.63/1.03 ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p0 @ X12 ) ) ) ) ) ) ))).
% 0.63/1.03 thf(zip_derived_cl5, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (zip_tseitin_0 @ (sk__2 @ X0) @ X0)
% 0.63/1.03 | ~ (irel @ X0 @ X1)
% 0.63/1.03 | ~ (zip_tseitin_0 @ (sk__3 @ X1) @ X1)
% 0.63/1.03 | (p0 @ X2)
% 0.63/1.03 | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.63/1.03 thf(zip_derived_cl44, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (p1 @ (sk__2 @ X0))
% 0.63/1.03 | ~ (irel @ X2 @ X1)
% 0.63/1.03 | (p0 @ X1)
% 0.63/1.03 | ~ (zip_tseitin_0 @ (sk__3 @ X2) @ X2)
% 0.63/1.03 | ~ (irel @ X0 @ X2))),
% 0.63/1.03 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 0.63/1.03 thf(zip_derived_cl49, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (p1 @ (sk__3 @ X0))
% 0.63/1.03 | ~ (irel @ X1 @ X0)
% 0.63/1.03 | (p0 @ X2)
% 0.63/1.03 | ~ (irel @ X0 @ X2)
% 0.63/1.03 | ~ (p1 @ (sk__2 @ X1)))),
% 0.63/1.03 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl44])).
% 0.63/1.03 thf(axiom3, axiom,
% 0.63/1.03 (ivalid @
% 0.63/1.03 ( iimplies @
% 0.63/1.03 ( iatom @ p2 ) @ ( iimplies @ ( iatom @ p2 ) @ ( iatom @ p1 ) ) ))).
% 0.63/1.03 thf(zf_stmt_6, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p1 @ X12 ) ) ) |
% 0.63/1.03 ( ~( ![X10:$i]: ( ( irel @ X8 @ X10 ) => ( p2 @ X10 ) ) ) ) ) ) ) |
% 0.63/1.03 ( ~( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( p2 @ X6 ) ) ) ) ))).
% 0.63/1.03 thf(zf_stmt_7, axiom,
% 0.63/1.03 (![X10:$i,X8:$i]:
% 0.63/1.03 ( ( ( irel @ X8 @ X10 ) => ( p2 @ X10 ) ) => ( zip_tseitin_1 @ X10 @ X8 ) ))).
% 0.63/1.03 thf(zip_derived_cl6, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: ( (zip_tseitin_1 @ X0 @ X1) | ~ (p2 @ X0))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.63/1.03 thf(zip_derived_cl6, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: ( (zip_tseitin_1 @ X0 @ X1) | ~ (p2 @ X0))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.63/1.03 thf(zf_stmt_8, type, zip_tseitin_1 : $i > $i > $o).
% 0.63/1.03 thf(zf_stmt_9, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ~( ![X6:$i]: ( zip_tseitin_1 @ X6 @ X4 ) ) ) |
% 0.63/1.03 ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ~( ![X10:$i]: ( zip_tseitin_1 @ X10 @ X8 ) ) ) |
% 0.63/1.03 ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p1 @ X12 ) ) ) ) ) ) ))).
% 0.63/1.03 thf(zip_derived_cl8, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (zip_tseitin_1 @ (sk__4 @ X0) @ X0)
% 0.63/1.03 | ~ (irel @ X0 @ X1)
% 0.63/1.03 | ~ (zip_tseitin_1 @ (sk__5 @ X1) @ X1)
% 0.63/1.03 | (p1 @ X2)
% 0.63/1.03 | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.63/1.03 thf(zip_derived_cl53, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (p2 @ (sk__4 @ X0))
% 0.63/1.03 | ~ (irel @ X2 @ X1)
% 0.63/1.03 | (p1 @ X1)
% 0.63/1.03 | ~ (zip_tseitin_1 @ (sk__5 @ X2) @ X2)
% 0.63/1.03 | ~ (irel @ X0 @ X2))),
% 0.63/1.03 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl8])).
% 0.63/1.03 thf(zip_derived_cl77, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (p2 @ (sk__5 @ X0))
% 0.63/1.03 | ~ (irel @ X1 @ X0)
% 0.63/1.03 | (p1 @ X2)
% 0.63/1.03 | ~ (irel @ X0 @ X2)
% 0.63/1.03 | ~ (p2 @ (sk__4 @ X1)))),
% 0.63/1.03 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl53])).
% 0.63/1.03 thf(axiom4, axiom,
% 0.63/1.03 (ivalid @
% 0.63/1.03 ( iimplies @
% 0.63/1.03 ( iatom @ p3 ) @ ( iimplies @ ( iatom @ p3 ) @ ( iatom @ p2 ) ) ))).
% 0.63/1.03 thf(zf_stmt_10, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p2 @ X12 ) ) ) |
% 0.63/1.03 ( ~( ![X10:$i]: ( ( irel @ X8 @ X10 ) => ( p3 @ X10 ) ) ) ) ) ) ) |
% 0.63/1.03 ( ~( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( p3 @ X6 ) ) ) ) ))).
% 0.63/1.03 thf(zf_stmt_11, type, zip_tseitin_2 : $i > $i > $o).
% 0.63/1.03 thf(zf_stmt_12, axiom,
% 0.63/1.03 (![X10:$i,X8:$i]:
% 0.63/1.03 ( ( ( irel @ X8 @ X10 ) => ( p3 @ X10 ) ) => ( zip_tseitin_2 @ X10 @ X8 ) ))).
% 0.63/1.03 thf(zf_stmt_13, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ~( ![X6:$i]: ( zip_tseitin_2 @ X6 @ X4 ) ) ) |
% 0.63/1.03 ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ~( ![X10:$i]: ( zip_tseitin_2 @ X10 @ X8 ) ) ) |
% 0.63/1.03 ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p2 @ X12 ) ) ) ) ) ) ))).
% 0.63/1.03 thf(zip_derived_cl11, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (zip_tseitin_2 @ (sk__6 @ X0) @ X0)
% 0.63/1.03 | ~ (irel @ X0 @ X1)
% 0.63/1.03 | ~ (zip_tseitin_2 @ (sk__7 @ X1) @ X1)
% 0.63/1.03 | (p2 @ X2)
% 0.63/1.03 | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.63/1.03 thf(zip_derived_cl9, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: ( (zip_tseitin_2 @ X0 @ X1) | ~ (p3 @ X0))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.63/1.03 thf(axiom5, axiom,
% 0.63/1.03 (ivalid @
% 0.63/1.03 ( iimplies @
% 0.63/1.03 ( iatom @ p4 ) @ ( iimplies @ ( iatom @ p4 ) @ ( iatom @ p3 ) ) ))).
% 0.63/1.03 thf(zf_stmt_14, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p3 @ X12 ) ) ) |
% 0.63/1.03 ( ~( ![X10:$i]: ( ( irel @ X8 @ X10 ) => ( p4 @ X10 ) ) ) ) ) ) ) |
% 0.63/1.03 ( ~( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( p4 @ X6 ) ) ) ) ))).
% 0.63/1.03 thf(zf_stmt_15, type, zip_tseitin_3 : $i > $i > $o).
% 0.63/1.03 thf(zf_stmt_16, axiom,
% 0.63/1.03 (![X10:$i,X8:$i]:
% 0.63/1.03 ( ( ( irel @ X8 @ X10 ) => ( p4 @ X10 ) ) => ( zip_tseitin_3 @ X10 @ X8 ) ))).
% 0.63/1.03 thf(zf_stmt_17, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ~( ![X6:$i]: ( zip_tseitin_3 @ X6 @ X4 ) ) ) |
% 0.63/1.03 ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ~( ![X10:$i]: ( zip_tseitin_3 @ X10 @ X8 ) ) ) |
% 0.63/1.03 ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p3 @ X12 ) ) ) ) ) ) ))).
% 0.63/1.03 thf(zip_derived_cl14, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (zip_tseitin_3 @ (sk__8 @ X0) @ X0)
% 0.63/1.03 | ~ (irel @ X0 @ X1)
% 0.63/1.03 | ~ (zip_tseitin_3 @ (sk__9 @ X1) @ X1)
% 0.63/1.03 | (p3 @ X2)
% 0.63/1.03 | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.63/1.03 thf(zip_derived_cl12, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: ( (zip_tseitin_3 @ X0 @ X1) | ~ (p4 @ X0))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.63/1.03 thf(axiom6, axiom,
% 0.63/1.03 (ivalid @
% 0.63/1.03 ( iimplies @
% 0.63/1.03 ( iatom @ p5 ) @ ( iimplies @ ( iatom @ p5 ) @ ( iatom @ p4 ) ) ))).
% 0.63/1.03 thf(zf_stmt_18, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p4 @ X12 ) ) ) |
% 0.63/1.03 ( ~( ![X10:$i]: ( ( irel @ X8 @ X10 ) => ( p5 @ X10 ) ) ) ) ) ) ) |
% 0.63/1.03 ( ~( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( p5 @ X6 ) ) ) ) ))).
% 0.63/1.03 thf(zf_stmt_19, type, zip_tseitin_4 : $i > $i > $o).
% 0.63/1.03 thf(zf_stmt_20, axiom,
% 0.63/1.03 (![X10:$i,X8:$i]:
% 0.63/1.03 ( ( ( irel @ X8 @ X10 ) => ( p5 @ X10 ) ) => ( zip_tseitin_4 @ X10 @ X8 ) ))).
% 0.63/1.03 thf(zf_stmt_21, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ~( ![X6:$i]: ( zip_tseitin_4 @ X6 @ X4 ) ) ) |
% 0.63/1.03 ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ~( ![X10:$i]: ( zip_tseitin_4 @ X10 @ X8 ) ) ) |
% 0.63/1.03 ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p4 @ X12 ) ) ) ) ) ) ))).
% 0.63/1.03 thf(zip_derived_cl17, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (zip_tseitin_4 @ (sk__10 @ X0) @ X0)
% 0.63/1.03 | ~ (irel @ X0 @ X1)
% 0.63/1.03 | ~ (zip_tseitin_4 @ (sk__11 @ X1) @ X1)
% 0.63/1.03 | (p4 @ X2)
% 0.63/1.03 | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_21])).
% 0.63/1.03 thf(zip_derived_cl15, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: ( (zip_tseitin_4 @ X0 @ X1) | ~ (p5 @ X0))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_20])).
% 0.63/1.03 thf(axiom7, axiom,
% 0.63/1.03 (ivalid @
% 0.63/1.03 ( iimplies @
% 0.63/1.03 ( iatom @ p6 ) @ ( iimplies @ ( iatom @ p6 ) @ ( iatom @ p5 ) ) ))).
% 0.63/1.03 thf(zf_stmt_22, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p5 @ X12 ) ) ) |
% 0.63/1.03 ( ~( ![X10:$i]: ( ( irel @ X8 @ X10 ) => ( p6 @ X10 ) ) ) ) ) ) ) |
% 0.63/1.03 ( ~( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( p6 @ X6 ) ) ) ) ))).
% 0.63/1.03 thf(zf_stmt_23, type, zip_tseitin_5 : $i > $i > $o).
% 0.63/1.03 thf(zf_stmt_24, axiom,
% 0.63/1.03 (![X10:$i,X8:$i]:
% 0.63/1.03 ( ( ( irel @ X8 @ X10 ) => ( p6 @ X10 ) ) => ( zip_tseitin_5 @ X10 @ X8 ) ))).
% 0.63/1.03 thf(zf_stmt_25, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ~( ![X6:$i]: ( zip_tseitin_5 @ X6 @ X4 ) ) ) |
% 0.63/1.03 ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ~( ![X10:$i]: ( zip_tseitin_5 @ X10 @ X8 ) ) ) |
% 0.63/1.03 ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p5 @ X12 ) ) ) ) ) ) ))).
% 0.63/1.03 thf(zip_derived_cl20, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (zip_tseitin_5 @ (sk__12 @ X0) @ X0)
% 0.63/1.03 | ~ (irel @ X0 @ X1)
% 0.63/1.03 | ~ (zip_tseitin_5 @ (sk__13 @ X1) @ X1)
% 0.63/1.03 | (p5 @ X2)
% 0.63/1.03 | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_25])).
% 0.63/1.03 thf(zip_derived_cl18, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: ( (zip_tseitin_5 @ X0 @ X1) | ~ (p6 @ X0))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_24])).
% 0.63/1.03 thf(axiom8, axiom,
% 0.63/1.03 (ivalid @
% 0.63/1.03 ( iimplies @
% 0.63/1.03 ( iatom @ p7 ) @ ( iimplies @ ( iatom @ p7 ) @ ( iatom @ p6 ) ) ))).
% 0.63/1.03 thf(zf_stmt_26, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p6 @ X12 ) ) ) |
% 0.63/1.03 ( ~( ![X10:$i]: ( ( irel @ X8 @ X10 ) => ( p7 @ X10 ) ) ) ) ) ) ) |
% 0.63/1.03 ( ~( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( p7 @ X6 ) ) ) ) ))).
% 0.63/1.03 thf(zf_stmt_27, type, zip_tseitin_6 : $i > $i > $o).
% 0.63/1.03 thf(zf_stmt_28, axiom,
% 0.63/1.03 (![X10:$i,X8:$i]:
% 0.63/1.03 ( ( ( irel @ X8 @ X10 ) => ( p7 @ X10 ) ) => ( zip_tseitin_6 @ X10 @ X8 ) ))).
% 0.63/1.03 thf(zf_stmt_29, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ~( ![X6:$i]: ( zip_tseitin_6 @ X6 @ X4 ) ) ) |
% 0.63/1.03 ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ~( ![X10:$i]: ( zip_tseitin_6 @ X10 @ X8 ) ) ) |
% 0.63/1.03 ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p6 @ X12 ) ) ) ) ) ) ))).
% 0.63/1.03 thf(zip_derived_cl23, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (zip_tseitin_6 @ (sk__14 @ X0) @ X0)
% 0.63/1.03 | ~ (irel @ X0 @ X1)
% 0.63/1.03 | ~ (zip_tseitin_6 @ (sk__15 @ X1) @ X1)
% 0.63/1.03 | (p6 @ X2)
% 0.63/1.03 | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_29])).
% 0.63/1.03 thf(zip_derived_cl21, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: ( (zip_tseitin_6 @ X0 @ X1) | ~ (p7 @ X0))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_28])).
% 0.63/1.03 thf(axiom9, axiom,
% 0.63/1.03 (ivalid @
% 0.63/1.03 ( iimplies @
% 0.63/1.03 ( iatom @ p8 ) @ ( iimplies @ ( iatom @ p8 ) @ ( iatom @ p7 ) ) ))).
% 0.63/1.03 thf(zf_stmt_30, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p7 @ X12 ) ) ) |
% 0.63/1.03 ( ~( ![X10:$i]: ( ( irel @ X8 @ X10 ) => ( p8 @ X10 ) ) ) ) ) ) ) |
% 0.63/1.03 ( ~( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( p8 @ X6 ) ) ) ) ))).
% 0.63/1.03 thf(zf_stmt_31, type, zip_tseitin_7 : $i > $i > $o).
% 0.63/1.03 thf(zf_stmt_32, axiom,
% 0.63/1.03 (![X10:$i,X8:$i]:
% 0.63/1.03 ( ( ( irel @ X8 @ X10 ) => ( p8 @ X10 ) ) => ( zip_tseitin_7 @ X10 @ X8 ) ))).
% 0.63/1.03 thf(zf_stmt_33, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ~( ![X6:$i]: ( zip_tseitin_7 @ X6 @ X4 ) ) ) |
% 0.63/1.03 ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ~( ![X10:$i]: ( zip_tseitin_7 @ X10 @ X8 ) ) ) |
% 0.63/1.03 ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p7 @ X12 ) ) ) ) ) ) ))).
% 0.63/1.03 thf(zip_derived_cl26, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (zip_tseitin_7 @ (sk__16 @ X0) @ X0)
% 0.63/1.03 | ~ (irel @ X0 @ X1)
% 0.63/1.03 | ~ (zip_tseitin_7 @ (sk__17 @ X1) @ X1)
% 0.63/1.03 | (p7 @ X2)
% 0.63/1.03 | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_33])).
% 0.63/1.03 thf(zip_derived_cl24, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: ( (zip_tseitin_7 @ X0 @ X1) | ~ (p8 @ X0))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_32])).
% 0.63/1.03 thf(axiom10, axiom,
% 0.63/1.03 (ivalid @
% 0.63/1.03 ( iimplies @
% 0.63/1.03 ( iatom @ p9 ) @ ( iimplies @ ( iatom @ p9 ) @ ( iatom @ p8 ) ) ))).
% 0.63/1.03 thf(zf_stmt_34, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p8 @ X12 ) ) ) |
% 0.63/1.03 ( ~( ![X10:$i]: ( ( irel @ X8 @ X10 ) => ( p9 @ X10 ) ) ) ) ) ) ) |
% 0.63/1.03 ( ~( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( p9 @ X6 ) ) ) ) ))).
% 0.63/1.03 thf(zf_stmt_35, type, zip_tseitin_8 : $i > $i > $o).
% 0.63/1.03 thf(zf_stmt_36, axiom,
% 0.63/1.03 (![X10:$i,X8:$i]:
% 0.63/1.03 ( ( ( irel @ X8 @ X10 ) => ( p9 @ X10 ) ) => ( zip_tseitin_8 @ X10 @ X8 ) ))).
% 0.63/1.03 thf(zf_stmt_37, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ~( ![X6:$i]: ( zip_tseitin_8 @ X6 @ X4 ) ) ) |
% 0.63/1.03 ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ~( ![X10:$i]: ( zip_tseitin_8 @ X10 @ X8 ) ) ) |
% 0.63/1.03 ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p8 @ X12 ) ) ) ) ) ) ))).
% 0.63/1.03 thf(zip_derived_cl29, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (zip_tseitin_8 @ (sk__18 @ X0) @ X0)
% 0.63/1.03 | ~ (irel @ X0 @ X1)
% 0.63/1.03 | ~ (zip_tseitin_8 @ (sk__19 @ X1) @ X1)
% 0.63/1.03 | (p8 @ X2)
% 0.63/1.03 | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_37])).
% 0.63/1.03 thf(zip_derived_cl27, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: ( (zip_tseitin_8 @ X0 @ X1) | ~ (p9 @ X0))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_36])).
% 0.63/1.03 thf(axiom11, axiom,
% 0.63/1.03 (ivalid @
% 0.63/1.03 ( iimplies @
% 0.63/1.03 ( iatom @ p10 ) @ ( iimplies @ ( iatom @ p10 ) @ ( iatom @ p9 ) ) ))).
% 0.63/1.03 thf(zf_stmt_38, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p9 @ X12 ) ) ) |
% 0.63/1.03 ( ~( ![X10:$i]: ( ( irel @ X8 @ X10 ) => ( p10 @ X10 ) ) ) ) ) ) ) |
% 0.63/1.03 ( ~( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( p10 @ X6 ) ) ) ) ))).
% 0.63/1.03 thf(zf_stmt_39, type, zip_tseitin_9 : $i > $i > $o).
% 0.63/1.03 thf(zf_stmt_40, axiom,
% 0.63/1.03 (![X10:$i,X8:$i]:
% 0.63/1.03 ( ( ( irel @ X8 @ X10 ) => ( p10 @ X10 ) ) => ( zip_tseitin_9 @ X10 @ X8 ) ))).
% 0.63/1.03 thf(zf_stmt_41, axiom,
% 0.63/1.03 (![X4:$i]:
% 0.63/1.03 ( ( ~( ![X6:$i]: ( zip_tseitin_9 @ X6 @ X4 ) ) ) |
% 0.63/1.03 ( ![X8:$i]:
% 0.63/1.03 ( ( irel @ X4 @ X8 ) =>
% 0.63/1.03 ( ( ~( ![X10:$i]: ( zip_tseitin_9 @ X10 @ X8 ) ) ) |
% 0.63/1.03 ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p9 @ X12 ) ) ) ) ) ) ))).
% 0.63/1.03 thf(zip_derived_cl32, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (zip_tseitin_9 @ (sk__20 @ X0) @ X0)
% 0.63/1.03 | ~ (irel @ X0 @ X1)
% 0.63/1.03 | ~ (zip_tseitin_9 @ (sk__21 @ X1) @ X1)
% 0.63/1.03 | (p9 @ X2)
% 0.63/1.03 | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_41])).
% 0.63/1.03 thf(zip_derived_cl30, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: ( (zip_tseitin_9 @ X0 @ X1) | ~ (p10 @ X0))),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_40])).
% 0.63/1.03 thf(axiom1, axiom, (ivalid @ ( iatom @ p10 ))).
% 0.63/1.03 thf(zf_stmt_42, axiom, (![X4:$i]: ( p10 @ X4 ))).
% 0.63/1.03 thf(zip_derived_cl2, plain, (![X0 : $i]: (p10 @ X0)),
% 0.63/1.03 inference('cnf', [status(esa)], [zf_stmt_42])).
% 0.63/1.03 thf(zip_derived_cl42, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: (zip_tseitin_9 @ X0 @ X1)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl2])).
% 0.63/1.03 thf(zip_derived_cl42, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: (zip_tseitin_9 @ X0 @ X1)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl2])).
% 0.63/1.03 thf(zip_derived_cl88, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (irel @ X0 @ X1) | (p9 @ X2) | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('demod', [status(thm)],
% 0.63/1.03 [zip_derived_cl32, zip_derived_cl42, zip_derived_cl42])).
% 0.63/1.03 thf(zip_derived_cl90, plain, (![X0 : $i]: (~ (irel @ X0 @ X0) | (p9 @ X0))),
% 0.63/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl88])).
% 0.63/1.03 thf(refl_axiom, axiom, (![X:$i]: ( irel @ X @ X ))).
% 0.63/1.03 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 0.63/1.03 inference('cnf', [status(esa)], [refl_axiom])).
% 0.63/1.03 thf(zip_derived_cl93, plain, (![X0 : $i]: (p9 @ X0)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 0.63/1.03 thf(zip_derived_cl97, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: (zip_tseitin_8 @ X0 @ X1)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl93])).
% 0.63/1.03 thf(zip_derived_cl97, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: (zip_tseitin_8 @ X0 @ X1)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl93])).
% 0.63/1.03 thf(zip_derived_cl98, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (irel @ X0 @ X1) | (p8 @ X2) | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('demod', [status(thm)],
% 0.63/1.03 [zip_derived_cl29, zip_derived_cl97, zip_derived_cl97])).
% 0.63/1.03 thf(zip_derived_cl100, plain,
% 0.63/1.03 (![X0 : $i]: (~ (irel @ X0 @ X0) | (p8 @ X0))),
% 0.63/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl98])).
% 0.63/1.03 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 0.63/1.03 inference('cnf', [status(esa)], [refl_axiom])).
% 0.63/1.03 thf(zip_derived_cl103, plain, (![X0 : $i]: (p8 @ X0)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl0])).
% 0.63/1.03 thf(zip_derived_cl105, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: (zip_tseitin_7 @ X0 @ X1)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl103])).
% 0.63/1.03 thf(zip_derived_cl105, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: (zip_tseitin_7 @ X0 @ X1)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl103])).
% 0.63/1.03 thf(zip_derived_cl110, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (irel @ X0 @ X1) | (p7 @ X2) | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('demod', [status(thm)],
% 0.63/1.03 [zip_derived_cl26, zip_derived_cl105, zip_derived_cl105])).
% 0.63/1.03 thf(zip_derived_cl112, plain,
% 0.63/1.03 (![X0 : $i]: (~ (irel @ X0 @ X0) | (p7 @ X0))),
% 0.63/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl110])).
% 0.63/1.03 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 0.63/1.03 inference('cnf', [status(esa)], [refl_axiom])).
% 0.63/1.03 thf(zip_derived_cl115, plain, (![X0 : $i]: (p7 @ X0)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 0.63/1.03 thf(zip_derived_cl119, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: (zip_tseitin_6 @ X0 @ X1)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl115])).
% 0.63/1.03 thf(zip_derived_cl119, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: (zip_tseitin_6 @ X0 @ X1)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl115])).
% 0.63/1.03 thf(zip_derived_cl120, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (irel @ X0 @ X1) | (p6 @ X2) | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('demod', [status(thm)],
% 0.63/1.03 [zip_derived_cl23, zip_derived_cl119, zip_derived_cl119])).
% 0.63/1.03 thf(zip_derived_cl122, plain,
% 0.63/1.03 (![X0 : $i]: (~ (irel @ X0 @ X0) | (p6 @ X0))),
% 0.63/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl120])).
% 0.63/1.03 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 0.63/1.03 inference('cnf', [status(esa)], [refl_axiom])).
% 0.63/1.03 thf(zip_derived_cl125, plain, (![X0 : $i]: (p6 @ X0)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl122, zip_derived_cl0])).
% 0.63/1.03 thf(zip_derived_cl127, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: (zip_tseitin_5 @ X0 @ X1)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl125])).
% 0.63/1.03 thf(zip_derived_cl127, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: (zip_tseitin_5 @ X0 @ X1)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl125])).
% 0.63/1.03 thf(zip_derived_cl128, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (irel @ X0 @ X1) | (p5 @ X2) | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('demod', [status(thm)],
% 0.63/1.03 [zip_derived_cl20, zip_derived_cl127, zip_derived_cl127])).
% 0.63/1.03 thf(zip_derived_cl130, plain,
% 0.63/1.03 (![X0 : $i]: (~ (irel @ X0 @ X0) | (p5 @ X0))),
% 0.63/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl128])).
% 0.63/1.03 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 0.63/1.03 inference('cnf', [status(esa)], [refl_axiom])).
% 0.63/1.03 thf(zip_derived_cl133, plain, (![X0 : $i]: (p5 @ X0)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl130, zip_derived_cl0])).
% 0.63/1.03 thf(zip_derived_cl137, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: (zip_tseitin_4 @ X0 @ X1)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl133])).
% 0.63/1.03 thf(zip_derived_cl137, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: (zip_tseitin_4 @ X0 @ X1)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl133])).
% 0.63/1.03 thf(zip_derived_cl138, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (irel @ X0 @ X1) | (p4 @ X2) | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('demod', [status(thm)],
% 0.63/1.03 [zip_derived_cl17, zip_derived_cl137, zip_derived_cl137])).
% 0.63/1.03 thf(zip_derived_cl140, plain,
% 0.63/1.03 (![X0 : $i]: (~ (irel @ X0 @ X0) | (p4 @ X0))),
% 0.63/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl138])).
% 0.63/1.03 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 0.63/1.03 inference('cnf', [status(esa)], [refl_axiom])).
% 0.63/1.03 thf(zip_derived_cl143, plain, (![X0 : $i]: (p4 @ X0)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl0])).
% 0.63/1.03 thf(zip_derived_cl145, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: (zip_tseitin_3 @ X0 @ X1)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl143])).
% 0.63/1.03 thf(zip_derived_cl145, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: (zip_tseitin_3 @ X0 @ X1)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl143])).
% 0.63/1.03 thf(zip_derived_cl146, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (irel @ X0 @ X1) | (p3 @ X2) | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('demod', [status(thm)],
% 0.63/1.03 [zip_derived_cl14, zip_derived_cl145, zip_derived_cl145])).
% 0.63/1.03 thf(zip_derived_cl148, plain,
% 0.63/1.03 (![X0 : $i]: (~ (irel @ X0 @ X0) | (p3 @ X0))),
% 0.63/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl146])).
% 0.63/1.03 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 0.63/1.03 inference('cnf', [status(esa)], [refl_axiom])).
% 0.63/1.03 thf(zip_derived_cl151, plain, (![X0 : $i]: (p3 @ X0)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl148, zip_derived_cl0])).
% 0.63/1.03 thf(zip_derived_cl155, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: (zip_tseitin_2 @ X0 @ X1)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl151])).
% 0.63/1.03 thf(zip_derived_cl155, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i]: (zip_tseitin_2 @ X0 @ X1)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl151])).
% 0.63/1.03 thf(zip_derived_cl156, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (irel @ X0 @ X1) | (p2 @ X2) | ~ (irel @ X1 @ X2))),
% 0.63/1.03 inference('demod', [status(thm)],
% 0.63/1.03 [zip_derived_cl11, zip_derived_cl155, zip_derived_cl155])).
% 0.63/1.03 thf(zip_derived_cl158, plain,
% 0.63/1.03 (![X0 : $i]: (~ (irel @ X0 @ X0) | (p2 @ X0))),
% 0.63/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl156])).
% 0.63/1.03 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 0.63/1.03 inference('cnf', [status(esa)], [refl_axiom])).
% 0.63/1.03 thf(zip_derived_cl161, plain, (![X0 : $i]: (p2 @ X0)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl158, zip_derived_cl0])).
% 0.63/1.03 thf(zip_derived_cl161, plain, (![X0 : $i]: (p2 @ X0)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl158, zip_derived_cl0])).
% 0.63/1.03 thf(zip_derived_cl167, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (irel @ X1 @ X0) | (p1 @ X2) | ~ (irel @ X0 @ X2))),
% 0.63/1.03 inference('demod', [status(thm)],
% 0.63/1.03 [zip_derived_cl77, zip_derived_cl161, zip_derived_cl161])).
% 0.63/1.03 thf(zip_derived_cl170, plain,
% 0.63/1.03 (![X0 : $i]: (~ (irel @ X0 @ X0) | (p1 @ X0))),
% 0.63/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl167])).
% 0.63/1.03 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 0.63/1.03 inference('cnf', [status(esa)], [refl_axiom])).
% 0.63/1.03 thf(zip_derived_cl173, plain, (![X0 : $i]: (p1 @ X0)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl170, zip_derived_cl0])).
% 0.63/1.03 thf(zip_derived_cl173, plain, (![X0 : $i]: (p1 @ X0)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl170, zip_derived_cl0])).
% 0.63/1.03 thf(zip_derived_cl178, plain,
% 0.63/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.03 (~ (irel @ X1 @ X0) | (p0 @ X2) | ~ (irel @ X0 @ X2))),
% 0.63/1.03 inference('demod', [status(thm)],
% 0.63/1.03 [zip_derived_cl49, zip_derived_cl173, zip_derived_cl173])).
% 0.63/1.03 thf(zip_derived_cl184, plain,
% 0.63/1.03 (![X0 : $i]: (~ (irel @ X0 @ X0) | (p0 @ X0))),
% 0.63/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl178])).
% 0.63/1.03 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 0.63/1.03 inference('cnf', [status(esa)], [refl_axiom])).
% 0.63/1.03 thf(zip_derived_cl187, plain, (![X0 : $i]: (p0 @ X0)),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl184, zip_derived_cl0])).
% 0.63/1.03 thf(zip_derived_cl191, plain, ($false),
% 0.63/1.03 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl187])).
% 0.63/1.03
% 0.63/1.03 % SZS output end Refutation
% 0.63/1.03
% 0.63/1.03
% 0.63/1.03 % Terminating...
% 0.64/1.16 % Runner terminated.
% 2.43/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------