%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO068^4.005 : 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.FzUguh3oPo true
% Computer : n002.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 0.59s 0.83s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO068^4.005 : 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.FzUguh3oPo true
% 0.13/0.35 % Computer : n002.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 18:05:38 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
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.57/0.66 % Total configuration time : 828
% 0.57/0.66 % Estimated wc time : 1656
% 0.57/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.59/0.83 % Solved by lams/40_noforms.sh.
% 0.59/0.83 % done 42 iterations in 0.048s
% 0.59/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.83 % SZS output start Refutation
% 0.59/0.83 thf(iatom_type, type, iatom: ($i > $o) > $i > $o).
% 0.59/0.83 thf(sk__7_type, type, sk__7: $i > $i).
% 0.59/0.83 thf(p2_type, type, p2: $i > $o).
% 0.59/0.83 thf(ivalid_type, type, ivalid: ($i > $o) > $o).
% 0.59/0.83 thf(sk__4_type, type, sk__4: $i > $i).
% 0.59/0.83 thf(p1_type, type, p1: $i > $o).
% 0.59/0.83 thf(irel_type, type, irel: $i > $i > $o).
% 0.59/0.83 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.59/0.83 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.59/0.83 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $o).
% 0.59/0.83 thf(sk__9_type, type, sk__9: $i > $i).
% 0.59/0.83 thf(sk__12_type, type, sk__12: $i).
% 0.59/0.83 thf(sk__5_type, type, sk__5: $i > $i).
% 0.59/0.83 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.59/0.83 thf(sk__8_type, type, sk__8: $i > $i).
% 0.59/0.83 thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o).
% 0.59/0.83 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 0.59/0.83 thf(p4_type, type, p4: $i > $o).
% 0.59/0.83 thf(iimplies_type, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.59/0.83 thf(sk__11_type, type, sk__11: $i > $i).
% 0.59/0.83 thf(p0_type, type, p0: $i > $o).
% 0.59/0.83 thf(p5_type, type, p5: $i > $o).
% 0.59/0.83 thf(sk__2_type, type, sk__2: $i > $i).
% 0.59/0.83 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.59/0.83 thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
% 0.59/0.83 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 0.59/0.83 thf(sk__6_type, type, sk__6: $i > $i).
% 0.59/0.83 thf(p3_type, type, p3: $i > $o).
% 0.59/0.83 thf(sk__3_type, type, sk__3: $i > $i).
% 0.59/0.83 thf(sk__10_type, type, sk__10: $i > $i).
% 0.59/0.83 thf(ivalid, axiom,(( ivalid ) =
% 0.59/0.83 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))).
% 0.59/0.83 thf('0', plain,
% 0.59/0.83 (( ivalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )),
% 0.59/0.83 inference('simplify_rw_rule', [status(thm)], [ivalid])).
% 0.59/0.83 thf('1', plain,
% 0.59/0.83 (( ivalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )),
% 0.59/0.83 define([status(thm)])).
% 0.59/0.83 thf(iatom, axiom,(( iatom ) = (^[P:( $i > $o )]: ( P )))).
% 0.59/0.83 thf('2', plain, (( iatom ) = ( ^[P:( $i > $o )]: ( P ) )),
% 0.59/0.83 inference('simplify_rw_rule', [status(thm)], [iatom])).
% 0.59/0.83 thf('3', plain, (( iatom ) = ( ^[V_1:( $i > $o )]: ( V_1 ) )),
% 0.59/0.83 define([status(thm)])).thf(con, conjecture, (ivalid @ ( iatom @ p0 ))).
% 0.59/0.83 thf(zf_stmt_0, conjecture, (![X4:$i]: ( p0 @ X4 ))).
% 0.59/0.83 thf(zf_stmt_1, negated_conjecture, (~( ![X4:$i]: ( p0 @ X4 ) )),
% 0.59/0.83 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 0.59/0.83 thf(zip_derived_cl18, plain, (~ (p0 @ sk__12)),
% 0.59/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.83 thf(iimplies, axiom,(( iimplies ) =
% 0.59/0.83 (^[P:( $i > $o ),Q:( $i > $o )]:
% 0.59/0.83 ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) )))).
% 0.59/0.83 thf(mbox_s4, axiom,(( mbox_s4 ) =
% 0.59/0.83 (^[P:( $i > $o ),X:$i]: ( ![Y:$i]: ( ( irel @ X @ Y ) => ( P @ Y ) ) )))).
% 0.59/0.83 thf('4', plain,
% 0.59/0.83 (( mbox_s4 ) =
% 0.59/0.83 ( ^[P:( $i > $o ),X:$i]: ( ![Y:$i]: ( ( irel @ X @ Y ) => ( P @ Y ) ) ) )),
% 0.59/0.83 inference('simplify_rw_rule', [status(thm)], [mbox_s4])).
% 0.59/0.83 thf('5', plain,
% 0.59/0.83 (( mbox_s4 ) =
% 0.59/0.83 ( ^[V_1:( $i > $o ),V_2:$i]:
% 0.59/0.83 ( ![X4:$i]: ( ( irel @ V_2 @ X4 ) => ( V_1 @ X4 ) ) ) )),
% 0.59/0.83 define([status(thm)])).
% 0.59/0.83 thf(mimplies, axiom,(( mimplies ) =
% 0.59/0.83 (^[U:( $i > $o ),V:( $i > $o )]: ( mor @ ( mnot @ U ) @ V )))).
% 0.59/0.83 thf(mor, axiom,(( mor ) =
% 0.59/0.83 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) )))).
% 0.59/0.83 thf('6', plain,
% 0.59/0.83 (( mor ) =
% 0.59/0.83 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) ) )),
% 0.59/0.83 inference('simplify_rw_rule', [status(thm)], [mor])).
% 0.59/0.83 thf('7', plain,
% 0.59/0.83 (( mor ) =
% 0.59/0.83 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
% 0.59/0.83 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )),
% 0.59/0.83 define([status(thm)])).
% 0.59/0.83 thf(mnot, axiom,(( mnot ) = (^[X:( $i > $o ),U:$i]: ( ~( X @ U ) )))).
% 0.59/0.83 thf('8', plain, (( mnot ) = ( ^[X:( $i > $o ),U:$i]: ( ~( X @ U ) ) )),
% 0.59/0.83 inference('simplify_rw_rule', [status(thm)], [mnot])).
% 0.59/0.83 thf('9', plain,
% 0.59/0.83 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )),
% 0.59/0.83 define([status(thm)])).
% 0.59/0.83 thf('10', plain,
% 0.59/0.83 (( mimplies ) =
% 0.59/0.83 ( ^[U:( $i > $o ),V:( $i > $o )]: ( mor @ ( mnot @ U ) @ V ) )),
% 0.59/0.83 inference('simplify_rw_rule', [status(thm)], [mimplies, '7', '9'])).
% 0.59/0.83 thf('11', plain,
% 0.59/0.83 (( mimplies ) =
% 0.59/0.83 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )),
% 0.59/0.83 define([status(thm)])).
% 0.59/0.83 thf('12', plain,
% 0.59/0.83 (( iimplies ) =
% 0.59/0.83 ( ^[P:( $i > $o ),Q:( $i > $o )]:
% 0.59/0.83 ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) )),
% 0.59/0.83 inference('simplify_rw_rule', [status(thm)], [iimplies, '5', '11'])).
% 0.59/0.83 thf('13', plain,
% 0.59/0.83 (( iimplies ) =
% 0.59/0.83 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]:
% 0.59/0.83 ( mimplies @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) )),
% 0.59/0.83 define([status(thm)])).
% 0.59/0.83 thf(axiom2, axiom,
% 0.59/0.83 (ivalid @
% 0.59/0.83 ( iimplies @
% 0.59/0.83 ( iatom @ p1 ) @ ( iimplies @ ( iatom @ p1 ) @ ( iatom @ p0 ) ) ))).
% 0.59/0.83 thf(zf_stmt_2, axiom,
% 0.59/0.83 (![X4:$i]:
% 0.59/0.83 ( ( ![X8:$i]:
% 0.59/0.83 ( ( irel @ X4 @ X8 ) =>
% 0.59/0.83 ( ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p0 @ X12 ) ) ) |
% 0.59/0.83 ( ~( ![X10:$i]: ( ( irel @ X8 @ X10 ) => ( p1 @ X10 ) ) ) ) ) ) ) |
% 0.59/0.83 ( ~( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( p1 @ X6 ) ) ) ) ))).
% 0.59/0.83 thf(zf_stmt_3, axiom,
% 0.59/0.83 (![X10:$i,X8:$i]:
% 0.59/0.83 ( ( ( irel @ X8 @ X10 ) => ( p1 @ X10 ) ) => ( zip_tseitin_0 @ X10 @ X8 ) ))).
% 0.59/0.83 thf(zip_derived_cl3, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | ~ (p1 @ X0))),
% 0.59/0.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/0.83 thf(zip_derived_cl3, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | ~ (p1 @ X0))),
% 0.59/0.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/0.83 thf(zf_stmt_4, type, zip_tseitin_0 : $i > $i > $o).
% 0.59/0.83 thf(zf_stmt_5, axiom,
% 0.59/0.83 (![X4:$i]:
% 0.59/0.83 ( ( ~( ![X6:$i]: ( zip_tseitin_0 @ X6 @ X4 ) ) ) |
% 0.59/0.83 ( ![X8:$i]:
% 0.59/0.83 ( ( irel @ X4 @ X8 ) =>
% 0.59/0.83 ( ( ~( ![X10:$i]: ( zip_tseitin_0 @ X10 @ X8 ) ) ) |
% 0.59/0.83 ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p0 @ X12 ) ) ) ) ) ) ))).
% 0.59/0.83 thf(zip_derived_cl5, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.83 (~ (zip_tseitin_0 @ (sk__2 @ X0) @ X0)
% 0.59/0.83 | ~ (irel @ X0 @ X1)
% 0.59/0.83 | ~ (zip_tseitin_0 @ (sk__3 @ X1) @ X1)
% 0.59/0.83 | (p0 @ X2)
% 0.59/0.83 | ~ (irel @ X1 @ X2))),
% 0.59/0.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.59/0.83 thf(zip_derived_cl30, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.83 (~ (p1 @ (sk__2 @ X0))
% 0.59/0.83 | ~ (irel @ X2 @ X1)
% 0.59/0.83 | (p0 @ X1)
% 0.59/0.83 | ~ (zip_tseitin_0 @ (sk__3 @ X2) @ X2)
% 0.59/0.83 | ~ (irel @ X0 @ X2))),
% 0.59/0.83 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 0.59/0.83 thf(zip_derived_cl34, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.83 (~ (p1 @ (sk__3 @ X0))
% 0.59/0.83 | ~ (irel @ X1 @ X0)
% 0.59/0.83 | (p0 @ X2)
% 0.59/0.83 | ~ (irel @ X0 @ X2)
% 0.59/0.83 | ~ (p1 @ (sk__2 @ X1)))),
% 0.59/0.83 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl30])).
% 0.59/0.83 thf(axiom3, axiom,
% 0.59/0.83 (ivalid @
% 0.59/0.83 ( iimplies @
% 0.59/0.83 ( iatom @ p2 ) @ ( iimplies @ ( iatom @ p2 ) @ ( iatom @ p1 ) ) ))).
% 0.59/0.83 thf(zf_stmt_6, axiom,
% 0.59/0.83 (![X4:$i]:
% 0.59/0.83 ( ( ![X8:$i]:
% 0.59/0.83 ( ( irel @ X4 @ X8 ) =>
% 0.59/0.83 ( ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p1 @ X12 ) ) ) |
% 0.59/0.83 ( ~( ![X10:$i]: ( ( irel @ X8 @ X10 ) => ( p2 @ X10 ) ) ) ) ) ) ) |
% 0.59/0.83 ( ~( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( p2 @ X6 ) ) ) ) ))).
% 0.59/0.83 thf(zf_stmt_7, type, zip_tseitin_1 : $i > $i > $o).
% 0.59/0.83 thf(zf_stmt_8, axiom,
% 0.59/0.83 (![X10:$i,X8:$i]:
% 0.59/0.83 ( ( ( irel @ X8 @ X10 ) => ( p2 @ X10 ) ) => ( zip_tseitin_1 @ X10 @ X8 ) ))).
% 0.59/0.83 thf(zf_stmt_9, axiom,
% 0.59/0.83 (![X4:$i]:
% 0.59/0.83 ( ( ~( ![X6:$i]: ( zip_tseitin_1 @ X6 @ X4 ) ) ) |
% 0.59/0.83 ( ![X8:$i]:
% 0.59/0.83 ( ( irel @ X4 @ X8 ) =>
% 0.59/0.83 ( ( ~( ![X10:$i]: ( zip_tseitin_1 @ X10 @ X8 ) ) ) |
% 0.59/0.83 ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p1 @ X12 ) ) ) ) ) ) ))).
% 0.59/0.83 thf(zip_derived_cl8, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.83 (~ (zip_tseitin_1 @ (sk__4 @ X0) @ X0)
% 0.59/0.83 | ~ (irel @ X0 @ X1)
% 0.59/0.83 | ~ (zip_tseitin_1 @ (sk__5 @ X1) @ X1)
% 0.59/0.83 | (p1 @ X2)
% 0.59/0.83 | ~ (irel @ X1 @ X2))),
% 0.59/0.83 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.59/0.83 thf(zip_derived_cl6, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i]: ( (zip_tseitin_1 @ X0 @ X1) | ~ (p2 @ X0))),
% 0.59/0.83 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.59/0.83 thf(axiom4, axiom,
% 0.59/0.83 (ivalid @
% 0.59/0.83 ( iimplies @
% 0.59/0.83 ( iatom @ p3 ) @ ( iimplies @ ( iatom @ p3 ) @ ( iatom @ p2 ) ) ))).
% 0.59/0.83 thf(zf_stmt_10, axiom,
% 0.59/0.83 (![X4:$i]:
% 0.59/0.83 ( ( ![X8:$i]:
% 0.59/0.83 ( ( irel @ X4 @ X8 ) =>
% 0.59/0.83 ( ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p2 @ X12 ) ) ) |
% 0.59/0.83 ( ~( ![X10:$i]: ( ( irel @ X8 @ X10 ) => ( p3 @ X10 ) ) ) ) ) ) ) |
% 0.59/0.83 ( ~( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( p3 @ X6 ) ) ) ) ))).
% 0.59/0.83 thf(zf_stmt_11, type, zip_tseitin_2 : $i > $i > $o).
% 0.59/0.83 thf(zf_stmt_12, axiom,
% 0.59/0.83 (![X10:$i,X8:$i]:
% 0.59/0.83 ( ( ( irel @ X8 @ X10 ) => ( p3 @ X10 ) ) => ( zip_tseitin_2 @ X10 @ X8 ) ))).
% 0.59/0.83 thf(zf_stmt_13, axiom,
% 0.59/0.83 (![X4:$i]:
% 0.59/0.83 ( ( ~( ![X6:$i]: ( zip_tseitin_2 @ X6 @ X4 ) ) ) |
% 0.59/0.83 ( ![X8:$i]:
% 0.59/0.83 ( ( irel @ X4 @ X8 ) =>
% 0.59/0.83 ( ( ~( ![X10:$i]: ( zip_tseitin_2 @ X10 @ X8 ) ) ) |
% 0.59/0.83 ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p2 @ X12 ) ) ) ) ) ) ))).
% 0.59/0.83 thf(zip_derived_cl11, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.83 (~ (zip_tseitin_2 @ (sk__6 @ X0) @ X0)
% 0.59/0.83 | ~ (irel @ X0 @ X1)
% 0.59/0.83 | ~ (zip_tseitin_2 @ (sk__7 @ X1) @ X1)
% 0.59/0.83 | (p2 @ X2)
% 0.59/0.83 | ~ (irel @ X1 @ X2))),
% 0.59/0.83 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.59/0.83 thf(zip_derived_cl9, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i]: ( (zip_tseitin_2 @ X0 @ X1) | ~ (p3 @ X0))),
% 0.59/0.83 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.59/0.83 thf(axiom5, axiom,
% 0.59/0.83 (ivalid @
% 0.59/0.83 ( iimplies @
% 0.59/0.83 ( iatom @ p4 ) @ ( iimplies @ ( iatom @ p4 ) @ ( iatom @ p3 ) ) ))).
% 0.59/0.83 thf(zf_stmt_14, axiom,
% 0.59/0.83 (![X4:$i]:
% 0.59/0.83 ( ( ![X8:$i]:
% 0.59/0.83 ( ( irel @ X4 @ X8 ) =>
% 0.59/0.83 ( ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p3 @ X12 ) ) ) |
% 0.59/0.83 ( ~( ![X10:$i]: ( ( irel @ X8 @ X10 ) => ( p4 @ X10 ) ) ) ) ) ) ) |
% 0.59/0.83 ( ~( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( p4 @ X6 ) ) ) ) ))).
% 0.59/0.83 thf(zf_stmt_15, type, zip_tseitin_3 : $i > $i > $o).
% 0.59/0.83 thf(zf_stmt_16, axiom,
% 0.59/0.83 (![X10:$i,X8:$i]:
% 0.59/0.83 ( ( ( irel @ X8 @ X10 ) => ( p4 @ X10 ) ) => ( zip_tseitin_3 @ X10 @ X8 ) ))).
% 0.59/0.83 thf(zf_stmt_17, axiom,
% 0.59/0.83 (![X4:$i]:
% 0.59/0.83 ( ( ~( ![X6:$i]: ( zip_tseitin_3 @ X6 @ X4 ) ) ) |
% 0.59/0.83 ( ![X8:$i]:
% 0.59/0.83 ( ( irel @ X4 @ X8 ) =>
% 0.59/0.83 ( ( ~( ![X10:$i]: ( zip_tseitin_3 @ X10 @ X8 ) ) ) |
% 0.59/0.83 ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p3 @ X12 ) ) ) ) ) ) ))).
% 0.59/0.83 thf(zip_derived_cl14, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.83 (~ (zip_tseitin_3 @ (sk__8 @ X0) @ X0)
% 0.59/0.83 | ~ (irel @ X0 @ X1)
% 0.59/0.83 | ~ (zip_tseitin_3 @ (sk__9 @ X1) @ X1)
% 0.59/0.83 | (p3 @ X2)
% 0.59/0.83 | ~ (irel @ X1 @ X2))),
% 0.59/0.83 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.59/0.83 thf(zip_derived_cl12, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i]: ( (zip_tseitin_3 @ X0 @ X1) | ~ (p4 @ X0))),
% 0.59/0.83 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.59/0.83 thf(axiom6, axiom,
% 0.59/0.83 (ivalid @
% 0.59/0.83 ( iimplies @
% 0.59/0.83 ( iatom @ p5 ) @ ( iimplies @ ( iatom @ p5 ) @ ( iatom @ p4 ) ) ))).
% 0.59/0.83 thf(zf_stmt_18, axiom,
% 0.59/0.83 (![X4:$i]:
% 0.59/0.83 ( ( ![X8:$i]:
% 0.59/0.83 ( ( irel @ X4 @ X8 ) =>
% 0.59/0.83 ( ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p4 @ X12 ) ) ) |
% 0.59/0.83 ( ~( ![X10:$i]: ( ( irel @ X8 @ X10 ) => ( p5 @ X10 ) ) ) ) ) ) ) |
% 0.59/0.83 ( ~( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( p5 @ X6 ) ) ) ) ))).
% 0.59/0.83 thf(zf_stmt_19, type, zip_tseitin_4 : $i > $i > $o).
% 0.59/0.83 thf(zf_stmt_20, axiom,
% 0.59/0.83 (![X10:$i,X8:$i]:
% 0.59/0.83 ( ( ( irel @ X8 @ X10 ) => ( p5 @ X10 ) ) => ( zip_tseitin_4 @ X10 @ X8 ) ))).
% 0.59/0.83 thf(zf_stmt_21, axiom,
% 0.59/0.83 (![X4:$i]:
% 0.59/0.83 ( ( ~( ![X6:$i]: ( zip_tseitin_4 @ X6 @ X4 ) ) ) |
% 0.59/0.83 ( ![X8:$i]:
% 0.59/0.83 ( ( irel @ X4 @ X8 ) =>
% 0.59/0.83 ( ( ~( ![X10:$i]: ( zip_tseitin_4 @ X10 @ X8 ) ) ) |
% 0.59/0.83 ( ![X12:$i]: ( ( irel @ X8 @ X12 ) => ( p4 @ X12 ) ) ) ) ) ) ))).
% 0.59/0.83 thf(zip_derived_cl17, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.83 (~ (zip_tseitin_4 @ (sk__10 @ X0) @ X0)
% 0.59/0.83 | ~ (irel @ X0 @ X1)
% 0.59/0.83 | ~ (zip_tseitin_4 @ (sk__11 @ X1) @ X1)
% 0.59/0.83 | (p4 @ X2)
% 0.59/0.83 | ~ (irel @ X1 @ X2))),
% 0.59/0.83 inference('cnf', [status(esa)], [zf_stmt_21])).
% 0.59/0.83 thf(zip_derived_cl15, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i]: ( (zip_tseitin_4 @ X0 @ X1) | ~ (p5 @ X0))),
% 0.59/0.83 inference('cnf', [status(esa)], [zf_stmt_20])).
% 0.59/0.83 thf(axiom1, axiom, (ivalid @ ( iatom @ p5 ))).
% 0.59/0.83 thf(zf_stmt_22, axiom, (![X4:$i]: ( p5 @ X4 ))).
% 0.59/0.83 thf(zip_derived_cl2, plain, (![X0 : $i]: (p5 @ X0)),
% 0.59/0.83 inference('cnf', [status(esa)], [zf_stmt_22])).
% 0.59/0.83 thf(zip_derived_cl27, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i]: (zip_tseitin_4 @ X0 @ X1)),
% 0.59/0.83 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl2])).
% 0.59/0.83 thf(zip_derived_cl27, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i]: (zip_tseitin_4 @ X0 @ X1)),
% 0.59/0.83 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl2])).
% 0.59/0.83 thf(zip_derived_cl49, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.83 (~ (irel @ X0 @ X1) | (p4 @ X2) | ~ (irel @ X1 @ X2))),
% 0.59/0.83 inference('demod', [status(thm)],
% 0.59/0.83 [zip_derived_cl17, zip_derived_cl27, zip_derived_cl27])).
% 0.59/0.83 thf(zip_derived_cl51, plain, (![X0 : $i]: (~ (irel @ X0 @ X0) | (p4 @ X0))),
% 0.59/0.83 inference('eq_fact', [status(thm)], [zip_derived_cl49])).
% 0.59/0.83 thf(refl_axiom, axiom, (![X:$i]: ( irel @ X @ X ))).
% 0.59/0.83 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 0.59/0.83 inference('cnf', [status(esa)], [refl_axiom])).
% 0.59/0.83 thf(zip_derived_cl54, plain, (![X0 : $i]: (p4 @ X0)),
% 0.59/0.83 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.59/0.83 thf(zip_derived_cl58, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i]: (zip_tseitin_3 @ X0 @ X1)),
% 0.59/0.83 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl54])).
% 0.59/0.83 thf(zip_derived_cl58, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i]: (zip_tseitin_3 @ X0 @ X1)),
% 0.59/0.83 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl54])).
% 0.59/0.83 thf(zip_derived_cl59, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.83 (~ (irel @ X0 @ X1) | (p3 @ X2) | ~ (irel @ X1 @ X2))),
% 0.59/0.83 inference('demod', [status(thm)],
% 0.59/0.83 [zip_derived_cl14, zip_derived_cl58, zip_derived_cl58])).
% 0.59/0.83 thf(zip_derived_cl61, plain, (![X0 : $i]: (~ (irel @ X0 @ X0) | (p3 @ X0))),
% 0.59/0.83 inference('eq_fact', [status(thm)], [zip_derived_cl59])).
% 0.59/0.83 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 0.59/0.83 inference('cnf', [status(esa)], [refl_axiom])).
% 0.59/0.83 thf(zip_derived_cl64, plain, (![X0 : $i]: (p3 @ X0)),
% 0.59/0.83 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.59/0.83 thf(zip_derived_cl66, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i]: (zip_tseitin_2 @ X0 @ X1)),
% 0.59/0.83 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl64])).
% 0.59/0.83 thf(zip_derived_cl66, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i]: (zip_tseitin_2 @ X0 @ X1)),
% 0.59/0.83 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl64])).
% 0.59/0.83 thf(zip_derived_cl71, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.83 (~ (irel @ X0 @ X1) | (p2 @ X2) | ~ (irel @ X1 @ X2))),
% 0.59/0.83 inference('demod', [status(thm)],
% 0.59/0.83 [zip_derived_cl11, zip_derived_cl66, zip_derived_cl66])).
% 0.59/0.83 thf(zip_derived_cl73, plain, (![X0 : $i]: (~ (irel @ X0 @ X0) | (p2 @ X0))),
% 0.59/0.83 inference('eq_fact', [status(thm)], [zip_derived_cl71])).
% 0.59/0.83 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 0.59/0.83 inference('cnf', [status(esa)], [refl_axiom])).
% 0.59/0.83 thf(zip_derived_cl76, plain, (![X0 : $i]: (p2 @ X0)),
% 0.59/0.83 inference('demod', [status(thm)], [zip_derived_cl73, zip_derived_cl0])).
% 0.59/0.83 thf(zip_derived_cl80, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i]: (zip_tseitin_1 @ X0 @ X1)),
% 0.59/0.83 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl76])).
% 0.59/0.83 thf(zip_derived_cl80, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i]: (zip_tseitin_1 @ X0 @ X1)),
% 0.59/0.83 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl76])).
% 0.59/0.83 thf(zip_derived_cl81, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.83 (~ (irel @ X0 @ X1) | (p1 @ X2) | ~ (irel @ X1 @ X2))),
% 0.59/0.83 inference('demod', [status(thm)],
% 0.59/0.83 [zip_derived_cl8, zip_derived_cl80, zip_derived_cl80])).
% 0.59/0.83 thf(zip_derived_cl83, plain, (![X0 : $i]: (~ (irel @ X0 @ X0) | (p1 @ X0))),
% 0.59/0.83 inference('eq_fact', [status(thm)], [zip_derived_cl81])).
% 0.59/0.83 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 0.59/0.83 inference('cnf', [status(esa)], [refl_axiom])).
% 0.59/0.83 thf(zip_derived_cl86, plain, (![X0 : $i]: (p1 @ X0)),
% 0.59/0.83 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl0])).
% 0.59/0.83 thf(zip_derived_cl86, plain, (![X0 : $i]: (p1 @ X0)),
% 0.59/0.83 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl0])).
% 0.59/0.83 thf(zip_derived_cl90, plain,
% 0.59/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.83 (~ (irel @ X1 @ X0) | (p0 @ X2) | ~ (irel @ X0 @ X2))),
% 0.59/0.83 inference('demod', [status(thm)],
% 0.59/0.83 [zip_derived_cl34, zip_derived_cl86, zip_derived_cl86])).
% 0.59/0.83 thf(zip_derived_cl94, plain, (![X0 : $i]: (~ (irel @ X0 @ X0) | (p0 @ X0))),
% 0.59/0.83 inference('eq_fact', [status(thm)], [zip_derived_cl90])).
% 0.59/0.83 thf(zip_derived_cl0, plain, (![X0 : $i]: (irel @ X0 @ X0)),
% 0.59/0.83 inference('cnf', [status(esa)], [refl_axiom])).
% 0.59/0.83 thf(zip_derived_cl97, plain, (![X0 : $i]: (p0 @ X0)),
% 0.59/0.83 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl0])).
% 0.59/0.83 thf(zip_derived_cl101, plain, ($false),
% 0.59/0.83 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl97])).
% 0.59/0.83
% 0.59/0.83 % SZS output end Refutation
% 0.59/0.83
% 0.59/0.83
% 0.59/0.83 % Terminating...
% 1.68/0.88 % Runner terminated.
% 1.68/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------