0.09/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GLQ2mKdGKd true 0.11/0.31 % Computer : n015.cluster.edu 0.11/0.31 % Model : x86_64 x86_64 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.31 % Memory : 8042.1875MB 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.31 % CPULimit : 960 0.11/0.31 % WCLimit : 120 0.11/0.31 % DateTime : Tue Aug 9 03:13:56 EDT 2022 0.17/0.31 % CPUTime : 0.17/0.31 % Running portfolio for 960 s 0.17/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.17/0.31 % Number of cores: 8 0.17/0.32 % Python version: Python 3.6.8 0.17/0.32 % Running in HO mode 0.18/0.59 % Total configuration time : 828 0.18/0.59 % Estimated wc time : 1656 0.18/0.59 % Estimated cpu time (8 cpus) : 207.0 0.98/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.98/0.68 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.98/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.98/0.69 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.98/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.98/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.98/0.69 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.98/0.69 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 1.39/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 1.39/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 1.47/0.98 % Solved by lams/40_b.comb.sh. 1.47/0.98 % done 29 iterations in 0.254s 1.47/0.98 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 1.47/0.98 % SZS output start Refutation 1.47/0.98 thf('#sk5_type', type, '#sk5': ($i > $o) > $i > $i). 1.47/0.98 thf(icl_says_type, type, icl_says: ($i > $o) > ($i > $o) > $i > $o). 1.47/0.98 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 1.47/0.98 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 1.47/0.98 thf('#sk1_type', type, '#sk1': $i). 1.47/0.98 thf('#sk4_type', type, '#sk4': $i). 1.47/0.98 thf(s_type, type, s: $i > $o). 1.47/0.98 thf(rel_type, type, rel: $i > $i > $o). 1.47/0.98 thf(icl_atom_type, type, icl_atom: ($i > $o) > $i > $o). 1.47/0.98 thf(mimpl_type, type, mimpl: ($i > $o) > ($i > $o) > $i > $o). 1.47/0.98 thf('#sk3_type', type, '#sk3': $i). 1.47/0.98 thf('#sk2_type', type, '#sk2': $i). 1.47/0.98 thf(icl_impl_type, type, icl_impl: ($i > $o) > ($i > $o) > $i > $o). 1.47/0.98 thf(icl_princ_type, type, icl_princ: ($i > $o) > $i > $o). 1.47/0.98 thf(a_type, type, a: $i > $o). 1.47/0.98 thf(mvalid_type, type, mvalid: ($i > $o) > $o). 1.47/0.98 thf(iclval_type, type, iclval: ($i > $o) > $o). 1.47/0.98 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 1.47/0.98 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)). 1.47/0.98 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)). 1.47/0.98 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)). 1.47/0.98 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)). 1.47/0.98 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)). 1.47/0.98 thf(refl_axiom, axiom, 1.47/0.98 (![A:( $i > $o )]: ( mvalid @ ( mimpl @ ( mbox @ rel @ A ) @ A ) ))). 1.47/0.98 thf(zip_derived_cl0, plain, 1.47/0.98 ( (((!!) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ Y0) @ Y0)))))), 1.47/0.98 inference('cnf', [status(esa)], [refl_axiom])). 1.47/0.98 thf(zip_derived_cl1, plain, 1.47/0.98 ( (((!!) @ ((('#B') @ mvalid @ 1.47/0.98 ((('#S') @ ((('#B') @ mimpl @ (mbox @ rel))) @ ('#I')))))))), 1.47/0.98 inference('lams2combs', [status(thm)], [zip_derived_cl0])). 1.47/0.98 thf(zip_derived_cl54, plain, 1.47/0.98 (![X2 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ X2) @ X2))), 1.47/0.98 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 1.47/0.98 thf(mvalid, axiom, (mvalid @ X0) => 1.47/0.98 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) = ($true))). 1.47/0.98 thf('0', plain, 1.47/0.98 (![X0:( $i > $o )]: ( ( mvalid @ X0 ) <=> ( ![X5:$i]: ( X0 @ X5 ) ) )), 1.47/0.98 inference('rw.lit', [status(esa)], [mvalid])). 1.47/0.98 thf(zip_derived_cl55, plain, 1.47/0.98 (![X0 : $i > $o]: 1.47/0.98 (((!!) @ (^[Y0 : $i]: (mimpl @ (mbox @ rel @ X0) @ X0 @ Y0))))), 1.47/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl54, '0'])). 1.47/0.98 thf(zip_derived_cl56, plain, 1.47/0.98 (![X0 : $i > $o]: (((!!) @ (mimpl @ (mbox @ rel @ X0) @ X0)))), 1.47/0.98 inference('comb-normalize', [status(thm)], [zip_derived_cl55])). 1.47/0.98 thf(zip_derived_cl57, plain, 1.47/0.98 (![X0 : $i > $o, X2 : $i]: (mimpl @ (mbox @ rel @ X0) @ X0 @ X2)), 1.47/0.98 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl56])). 1.47/0.98 thf(mimpl, axiom,(( mimpl @ (X0)@ (X1)@ (X2)) = 1.47/0.98 ((mor @ (mnot @ X0) @ X1 @ X2)))). 1.47/0.98 thf('1', plain, 1.47/0.98 (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]: 1.47/0.98 ( ( mimpl @ X0 @ X1 @ X2 ) = ( mor @ ( mnot @ X0 ) @ X1 @ X2 ) )), 1.47/0.98 define([status(thm)])). 1.47/0.98 thf(zip_derived_cl58, plain, 1.47/0.98 (![X0 : $i > $o, X2 : $i]: (mor @ (mnot @ (mbox @ rel @ X0)) @ X0 @ X2)), 1.47/0.98 inference('rw', [status(thm)], [zip_derived_cl57, '1'])). 1.47/0.98 thf(mor, axiom, (mor @ X0 @ X1 @ X2) => 1.47/0.98 ((((X1 @ X2) | (X0 @ X2))) = ($true))). 1.47/0.98 thf('2', plain, 1.47/0.98 (![X0:( $i > $o ),X1:( $i > $o ),X2:$i]: 1.47/0.98 ( ( mor @ X0 @ X1 @ X2 ) <=> ( ( X0 @ X2 ) | ( X1 @ X2 ) ) )), 1.47/0.98 inference('rw.lit', [status(esa)], [mor])). 1.47/0.98 thf(zip_derived_cl59, plain, 1.47/0.98 (![X0 : $i > $o, X1 : $i]: 1.47/0.98 (((X0 @ X1) | (mnot @ (mbox @ rel @ X0) @ X1)))), 1.47/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl58, '2'])). 1.47/0.98 thf(zip_derived_cl60, plain, 1.47/0.98 (![X0 : $i > $o, X1 : $i]: 1.47/0.98 ( (X0 @ X1) | (mnot @ (mbox @ rel @ X0) @ X1))), 1.47/0.98 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl59])). 1.47/0.98 thf(mnot, axiom, (mnot @ X0 @ X1) => ((X0 @ X1) != ($true))). 1.47/0.98 thf('3', plain, 1.47/0.98 (![X0:( $i > $o ),X1:$i]: ( ( mnot @ X0 @ X1 ) <=> ( ~( X0 @ X1 ) ) )), 1.47/0.98 inference('rw.lit', [status(esa)], [mnot])). 1.47/0.98 thf(zip_derived_cl61, plain, 1.47/0.98 (![X0 : $i > $o, X1 : $i]: (~ (mbox @ rel @ X0 @ X1) | (X0 @ X1))), 1.47/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl60, '3'])). 1.47/0.98 thf(mbox, axiom, ~ (mbox @ X0 @ X1 @ X2) => 1.47/0.98 ((((!!) @ (^[Y0 : $i]: (((X0 @ X2 @ Y0) => (X1 @ Y0)))))) != ($true))). 1.47/0.98 thf('4', plain, 1.47/0.98 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]: 1.47/0.98 ( ( ~( mbox @ X0 @ X1 @ X2 ) ) <=> 1.47/0.98 ( ~( ![X7:$i]: ( ( X0 @ X2 @ X7 ) => ( X1 @ X7 ) ) ) ) )), 1.47/0.98 inference('rw.lit', [status(esa)], [mbox])). 1.47/0.98 thf(zip_derived_cl62, plain, 1.47/0.98 (![X0 : $i > $o, X1 : $i]: 1.47/0.98 (~ (((!!) @ (^[Y0 : $i]: (((rel @ X1 @ Y0) => (X0 @ Y0)))))) 1.47/0.98 | (X0 @ X1))), 1.47/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl61, '4'])). 1.47/0.98 thf(zip_derived_cl63, plain, 1.47/0.98 (![X0 : $i > $o, X1 : $i]: 1.47/0.98 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (rel @ X1))) @ X0)))) 1.47/0.98 | (X0 @ X1))), 1.47/0.98 inference('comb-normalize', [status(thm)], [zip_derived_cl62])). 1.47/0.98 thf(zip_derived_cl64, plain, 1.47/0.98 (![X0 : $i > $o, X1 : $i]: 1.47/0.98 (~ (((rel @ X1 @ ('#sk5' @ X0 @ X1)) => (X0 @ ('#sk5' @ X0 @ X1)))) 1.47/0.98 | (X0 @ X1))), 1.47/0.98 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl63])). 1.47/0.98 thf(zip_derived_cl66, plain, 1.47/0.98 (![X0 : $i > $o, X1 : $i]: (~ (X0 @ ('#sk5' @ X0 @ X1)) | (X0 @ X1))), 1.47/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl64])). 1.47/0.98 thf(zip_derived_cl65, plain, 1.47/0.98 (![X0 : $i > $o, X1 : $i]: 1.47/0.98 ( (rel @ X1 @ ('#sk5' @ X0 @ X1)) | (X0 @ X1))), 1.47/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl64])). 1.47/0.98 thf(zip_derived_cl156, plain, 1.47/0.98 (![X0 : $i]: ( (rel @ X0 @ X0) | (rel @ X0 @ X0))), 1.47/0.98 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl65])). 1.47/0.98 thf(zip_derived_cl173, plain, (![X0 : $i]: (rel @ X0 @ X0)), 1.47/0.98 inference('simplify', [status(thm)], [zip_derived_cl156])). 1.47/0.98 thf(idem, conjecture, 1.47/0.98 (iclval @ 1.47/0.98 ( icl_impl @ 1.47/0.98 ( icl_says @ 1.47/0.98 ( icl_princ @ a ) @ 1.47/0.98 ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) @ 1.47/0.98 ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ))). 1.47/0.98 thf(zf_stmt_0, negated_conjecture, 1.47/0.98 (~( iclval @ 1.47/0.98 ( icl_impl @ 1.47/0.98 ( icl_says @ 1.47/0.98 ( icl_princ @ a ) @ 1.47/0.98 ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) @ 1.47/0.98 ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) )), 1.47/0.98 inference('cnf.neg', [status(esa)], [idem])). 1.47/0.98 thf(zip_derived_cl4, plain, 1.47/0.98 (~ (iclval @ 1.47/0.98 (icl_impl @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))), 1.47/0.98 inference('cnf', [status(esa)], [zf_stmt_0])). 1.47/0.98 thf(icl_s4_valid, axiom,(( iclval @ (X0)) = ((mvalid @ X0)))). 1.47/0.98 thf('5', plain, (![X0:( $i > $o )]: ( ( iclval @ X0 ) = ( mvalid @ X0 ) )), 1.47/0.98 define([status(thm)])). 1.47/0.98 thf(zip_derived_cl5, plain, 1.47/0.98 (~ (mvalid @ 1.47/0.98 (icl_impl @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))), 1.47/0.98 inference('rw', [status(thm)], [zip_derived_cl4, '5'])). 1.47/0.98 thf(mvalid, axiom, ~ (mvalid @ X0) => 1.47/0.98 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) != ($true))). 1.47/0.98 thf('6', plain, 1.47/0.98 (![X0:( $i > $o )]: 1.47/0.98 ( ( ~( mvalid @ X0 ) ) <=> ( ~( ![X5:$i]: ( X0 @ X5 ) ) ) )), 1.47/0.98 inference('rw.lit', [status(esa)], [mvalid])). 1.47/0.98 thf(zip_derived_cl6, plain, 1.47/0.98 (~ (((!!) @ (^[Y0 : $i]: 1.47/0.98 (icl_impl @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ Y0))))), 1.47/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl5, '6'])). 1.47/0.98 thf(zip_derived_cl7, plain, 1.47/0.98 (~ (((!!) @ (icl_impl @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)))))), 1.47/0.98 inference('comb-normalize', [status(thm)], [zip_derived_cl6])). 1.47/0.98 thf(zip_derived_cl8, plain, 1.47/0.98 (~ (icl_impl @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ '#sk1')), 1.47/0.98 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 1.47/0.98 thf(icl_impl, axiom,(( icl_impl @ (X0)@ (X1)@ (X2)) = 1.47/0.98 ((mbox @ rel @ (mimpl @ X0 @ X1) @ X2)))). 1.47/0.98 thf('7', plain, 1.47/0.98 (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]: 1.47/0.98 ( ( icl_impl @ X0 @ X1 @ X2 ) = 1.47/0.98 ( mbox @ rel @ ( mimpl @ X0 @ X1 ) @ X2 ) )), 1.47/0.98 define([status(thm)])). 1.47/0.98 thf(zip_derived_cl9, plain, 1.47/0.98 (~ (mbox @ rel @ 1.47/0.98 (mimpl @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ 1.47/0.98 '#sk1')), 1.47/0.98 inference('rw', [status(thm)], [zip_derived_cl8, '7'])). 1.47/0.98 thf(zip_derived_cl10, plain, 1.47/0.98 (~ (((!!) @ (^[Y0 : $i]: 1.47/0.98 (((rel @ '#sk1' @ Y0) => (mimpl @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ Y0))))))), 1.47/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl9, '4'])). 1.47/0.98 thf(zip_derived_cl11, plain, 1.47/0.98 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (rel @ '#sk1'))) @ 1.47/0.98 (mimpl @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)))))))), 1.47/0.98 inference('comb-normalize', [status(thm)], [zip_derived_cl10])). 1.47/0.98 thf(zip_derived_cl12, plain, 1.47/0.98 (~ (((rel @ '#sk1' @ '#sk2') => (mimpl @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ '#sk2')))), 1.47/0.98 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])). 1.47/0.98 thf(zip_derived_cl13, plain, 1.47/0.98 (~ (((rel @ '#sk1' @ '#sk2') => (mor @ 1.47/0.98 (mnot @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)))) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ '#sk2')))), 1.47/0.98 inference('rw', [status(thm)], [zip_derived_cl12, '1'])). 1.47/0.98 thf(zip_derived_cl15, plain, 1.47/0.98 (~ (mor @ 1.47/0.98 (mnot @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)))) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ '#sk2')), 1.47/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])). 1.47/0.98 thf(mor, axiom, ~ (mor @ X0 @ X1 @ X2) => 1.47/0.98 ((((X1 @ X2) | (X0 @ X2))) != ($true))). 1.47/0.98 thf('8', plain, 1.47/0.98 (![X0:( $i > $o ),X1:( $i > $o ),X2:$i]: 1.47/0.98 ( ( ~( mor @ X0 @ X1 @ X2 ) ) <=> ( ~( ( X1 @ X2 ) | ( X0 @ X2 ) ) ) )), 1.47/0.98 inference('rw.lit', [status(esa)], [mor])). 1.47/0.98 thf(zip_derived_cl16, plain, 1.47/0.98 (~ (((icl_says @ (icl_princ @ a) @ (icl_atom @ s) @ '#sk2') | (mnot @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ 1.47/0.98 '#sk2')))), 1.47/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl15, '8'])). 1.47/0.98 thf(icl_says, axiom,(( icl_says @ (X0)@ (X1)@ (X2)) = 1.47/0.98 ((mbox @ rel @ (mor @ X0 @ X1) @ X2)))). 1.47/0.98 thf('9', plain, 1.47/0.98 (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]: 1.47/0.98 ( ( icl_says @ X0 @ X1 @ X2 ) = ( mbox @ rel @ ( mor @ X0 @ X1 ) @ X2 ) )), 1.47/0.98 define([status(thm)])). 1.47/0.98 thf(zip_derived_cl17, plain, 1.47/0.98 (~ (((mbox @ rel @ (mor @ (icl_princ @ a) @ (icl_atom @ s)) @ '#sk2') | 1.47/0.98 (mnot @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ 1.47/0.98 '#sk2')))), 1.47/0.98 inference('rw', [status(thm)], [zip_derived_cl16, '9'])). 1.47/0.98 thf(zip_derived_cl18, plain, 1.47/0.98 (~ (mbox @ rel @ (mor @ (icl_princ @ a) @ (icl_atom @ s)) @ '#sk2')), 1.47/0.98 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl17])). 1.47/0.98 thf(zip_derived_cl20, plain, 1.47/0.98 (~ (((!!) @ (^[Y0 : $i]: 1.47/0.98 (((rel @ '#sk2' @ Y0) => (mor @ (icl_princ @ a) @ 1.47/0.98 (icl_atom @ s) @ Y0))))))), 1.47/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl18, '4'])). 1.47/0.98 thf(zip_derived_cl22, plain, 1.47/0.98 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (rel @ '#sk2'))) @ 1.47/0.98 (mor @ (icl_princ @ a) @ (icl_atom @ s))))))), 1.47/0.98 inference('comb-normalize', [status(thm)], [zip_derived_cl20])). 1.47/0.98 thf(zip_derived_cl23, plain, 1.47/0.98 (~ (((rel @ '#sk2' @ '#sk3') => (mor @ (icl_princ @ a) @ 1.47/0.98 (icl_atom @ s) @ '#sk3')))), 1.47/0.98 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl22])). 1.47/0.98 thf(zip_derived_cl27, plain, 1.47/0.98 (~ (mor @ (icl_princ @ a) @ (icl_atom @ s) @ '#sk3')), 1.47/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 1.47/0.98 thf(zip_derived_cl30, plain, 1.47/0.98 (~ (((icl_atom @ s @ '#sk3') | (icl_princ @ a @ '#sk3')))), 1.47/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl27, '8'])). 1.47/0.98 thf(icl_atom, axiom,(( icl_atom @ (X0)@ (X1)) = ((mbox @ rel @ X0 @ X1)))). 1.47/0.98 thf('10', plain, 1.47/0.98 (![X1:$i,X0:( $i > $o )]: 1.47/0.98 ( ( icl_atom @ X0 @ X1 ) = ( mbox @ rel @ X0 @ X1 ) )), 1.47/0.98 define([status(thm)])). 1.47/0.98 thf(icl_princ, axiom,(( icl_princ @ (X0)@ (X1)) = ((X0 @ X1)))). 1.47/0.98 thf('11', plain, 1.47/0.98 (![X0:( $i > $o ),X1:$i]: ( ( icl_princ @ X0 @ X1 ) = ( X0 @ X1 ) )), 1.47/0.98 define([status(thm)])). 1.47/0.98 thf(zip_derived_cl32, plain, 1.47/0.98 (~ (((mbox @ rel @ s @ '#sk3') | (a @ '#sk3')))), 1.47/0.98 inference('rw', [status(thm)], [zip_derived_cl30, '10', '11'])). 1.47/0.98 thf(zip_derived_cl33, plain, (~ (mbox @ rel @ s @ '#sk3')), 1.47/0.98 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl32])). 1.47/0.98 thf(zip_derived_cl36, plain, 1.47/0.98 (~ (((!!) @ (^[Y0 : $i]: (((rel @ '#sk3' @ Y0) => (s @ Y0))))))), 1.47/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl33, '4'])). 1.47/0.98 thf(zip_derived_cl39, plain, 1.47/0.98 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (rel @ '#sk3'))) @ s))))), 1.47/0.98 inference('comb-normalize', [status(thm)], [zip_derived_cl36])). 1.47/0.98 thf(zip_derived_cl40, plain, (~ (((rel @ '#sk3' @ '#sk4') => (s @ '#sk4')))), 1.47/0.98 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl39])). 1.47/0.98 thf(zip_derived_cl42, plain, ( (rel @ '#sk3' @ '#sk4')), 1.47/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])). 1.47/0.98 thf(zip_derived_cl19, plain, 1.47/0.98 (~ (mnot @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ 1.47/0.98 '#sk2')), 1.47/0.98 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl17])). 1.47/0.98 thf(mnot, axiom, ~ (mnot @ X0 @ X1) => ((X0 @ X1) = ($true))). 1.47/0.98 thf('12', plain, 1.47/0.98 (![X0:( $i > $o ),X1:$i]: ( ( ~( mnot @ X0 @ X1 ) ) <=> ( X0 @ X1 ) )), 1.47/0.98 inference('rw.lit', [status(esa)], [mnot])). 1.47/0.98 thf(zip_derived_cl21, plain, 1.47/0.98 ( (icl_says @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ '#sk2')), 1.47/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl19, '12'])). 1.47/0.98 thf(zip_derived_cl24, plain, 1.47/0.98 ( (mbox @ rel @ 1.47/0.98 (mor @ (icl_princ @ a) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ 1.47/0.98 '#sk2')), 1.47/0.98 inference('rw', [status(thm)], [zip_derived_cl21, '9'])). 1.47/0.98 thf(mbox, axiom, (mbox @ X0 @ X1 @ X2) => 1.47/0.98 ((((!!) @ (^[Y0 : $i]: (((X0 @ X2 @ Y0) => (X1 @ Y0)))))) = ($true))). 1.47/0.98 thf('13', plain, 1.47/0.98 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]: 1.47/0.98 ( ( mbox @ X0 @ X1 @ X2 ) <=> 1.47/0.98 ( ![X7:$i]: ( ( X0 @ X2 @ X7 ) => ( X1 @ X7 ) ) ) )), 1.47/0.98 inference('rw.lit', [status(esa)], [mbox])). 1.47/0.98 thf(zip_derived_cl25, plain, 1.47/0.98 ( (((!!) @ (^[Y0 : $i]: 1.47/0.98 (((rel @ '#sk2' @ Y0) => (mor @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ Y0))))))), 1.47/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl24, '13'])). 1.47/0.98 thf(zip_derived_cl28, plain, 1.47/0.98 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (rel @ '#sk2'))) @ 1.47/0.98 (mor @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)))))))), 1.47/0.98 inference('comb-normalize', [status(thm)], [zip_derived_cl25])). 1.47/0.98 thf(zip_derived_cl29, plain, 1.47/0.98 (![X2 : $i]: 1.47/0.98 (((rel @ '#sk2' @ X2) => (mor @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ X2)))), 1.47/0.98 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl28])). 1.47/0.98 thf(zip_derived_cl31, plain, 1.47/0.98 (![X2 : $i]: 1.47/0.98 (~ (rel @ '#sk2' @ X2) 1.47/0.98 | (mor @ (icl_princ @ a) @ 1.47/0.98 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ X2))), 1.47/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])). 1.47/0.98 thf(zip_derived_cl35, plain, 1.47/0.98 (![X0 : $i]: 1.47/0.98 ( (((icl_says @ (icl_princ @ a) @ (icl_atom @ s) @ X0) | (icl_princ @ 1.47/0.98 a @ X0))) 1.47/0.98 | ~ (rel @ '#sk2' @ X0))), 1.47/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl31, '2'])). 1.47/0.98 thf(zip_derived_cl37, plain, 1.47/0.98 (![X0 : $i]: 1.47/0.98 ( (((mbox @ rel @ (mor @ (icl_princ @ a) @ (icl_atom @ s)) @ X0) | 1.47/0.98 (a @ X0))) 1.47/0.98 | ~ (rel @ '#sk2' @ X0))), 1.47/0.98 inference('rw', [status(thm)], [zip_derived_cl35, '11', '9'])). 1.47/0.98 thf(zip_derived_cl38, plain, 1.47/0.98 (![X0 : $i]: 1.47/0.98 ( (mbox @ rel @ (mor @ (icl_princ @ a) @ (icl_atom @ s)) @ X0) 1.47/0.98 | (a @ X0) 1.47/0.98 | ~ (rel @ '#sk2' @ X0))), 1.47/0.98 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl37])). 1.47/0.98 thf(zip_derived_cl41, plain, 1.47/0.98 (![X0 : $i]: 1.47/0.98 ( (((!!) @ (^[Y0 : $i]: 1.47/0.98 (((rel @ X0 @ Y0) => (mor @ (icl_princ @ a) @ 1.47/0.98 (icl_atom @ s) @ Y0)))))) 1.47/0.98 | ~ (rel @ '#sk2' @ X0) 1.47/0.98 | (a @ X0))), 1.47/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl38, '13'])). 1.47/0.98 thf(zip_derived_cl44, plain, 1.47/0.98 (![X0 : $i]: 1.47/0.98 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (rel @ X0))) @ 1.47/0.98 (mor @ (icl_princ @ a) @ (icl_atom @ s)))))) 1.47/0.98 | ~ (rel @ '#sk2' @ X0) 1.47/0.98 | (a @ X0))), 1.47/0.98 inference('comb-normalize', [status(thm)], [zip_derived_cl41])). 1.47/0.98 thf(zip_derived_cl45, plain, 1.47/0.98 (![X0 : $i, X2 : $i]: 1.47/0.98 ( (((rel @ X0 @ X2) => (mor @ (icl_princ @ a) @ (icl_atom @ s) @ X2))) 1.47/0.98 | (a @ X0) 1.47/0.98 | ~ (rel @ '#sk2' @ X0))), 1.47/0.98 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl44])). 1.47/0.98 thf(zip_derived_cl46, plain, 1.47/0.98 (![X0 : $i, X2 : $i]: 1.47/0.98 (~ (rel @ X0 @ X2) 1.47/0.98 | (mor @ (icl_princ @ a) @ (icl_atom @ s) @ X2) 1.47/0.98 | ~ (rel @ '#sk2' @ X0) 1.47/0.98 | (a @ X0))), 1.47/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl45])). 1.47/0.98 thf(zip_derived_cl47, plain, 1.47/0.98 (![X0 : $i, X1 : $i]: 1.47/0.98 ( (((icl_atom @ s @ X1) | (icl_princ @ a @ X1))) 1.47/0.98 | (a @ X0) 1.47/0.98 | ~ (rel @ '#sk2' @ X0) 1.47/0.98 | ~ (rel @ X0 @ X1))), 1.47/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl46, '2'])). 1.47/0.98 thf(zip_derived_cl48, plain, 1.47/0.98 (![X0 : $i, X1 : $i]: 1.47/0.98 ( (((mbox @ rel @ s @ X1) | (a @ X1))) 1.47/0.98 | (a @ X0) 1.47/0.98 | ~ (rel @ '#sk2' @ X0) 1.47/0.98 | ~ (rel @ X0 @ X1))), 1.47/0.98 inference('rw', [status(thm)], [zip_derived_cl47, '10', '11'])). 1.47/0.98 thf(zip_derived_cl49, plain, 1.47/0.98 (![X0 : $i, X1 : $i]: 1.47/0.98 ( (mbox @ rel @ s @ X1) 1.47/0.98 | (a @ X1) 1.47/0.98 | ~ (rel @ X0 @ X1) 1.47/0.98 | ~ (rel @ '#sk2' @ X0) 1.47/0.98 | (a @ X0))), 1.47/0.98 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl48])). 1.47/0.98 thf(zip_derived_cl50, plain, 1.47/0.98 (![X0 : $i, X1 : $i]: 1.47/0.98 ( (((!!) @ (^[Y0 : $i]: (((rel @ X1 @ Y0) => (s @ Y0)))))) 1.47/0.98 | (a @ X0) 1.47/0.98 | ~ (rel @ '#sk2' @ X0) 1.47/0.98 | ~ (rel @ X0 @ X1) 1.47/0.98 | (a @ X1))), 1.47/0.98 inference('rw_clause', [status(thm)], [zip_derived_cl49, '13'])). 1.47/0.98 thf(zip_derived_cl51, plain, 1.47/0.98 (![X0 : $i, X1 : $i]: 1.47/0.98 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (rel @ X1))) @ s)))) 1.47/0.98 | (a @ X0) 1.47/0.98 | ~ (rel @ '#sk2' @ X0) 1.47/0.98 | ~ (rel @ X0 @ X1) 1.47/0.98 | (a @ X1))), 1.47/0.98 inference('comb-normalize', [status(thm)], [zip_derived_cl50])). 1.47/0.98 thf(zip_derived_cl52, plain, 1.47/0.98 (![X0 : $i, X1 : $i, X3 : $i]: 1.47/0.98 ( (((rel @ X1 @ X3) => (s @ X3))) 1.47/0.98 | (a @ X1) 1.47/0.98 | ~ (rel @ X0 @ X1) 1.47/0.98 | ~ (rel @ '#sk2' @ X0) 1.47/0.98 | (a @ X0))), 1.47/0.98 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl51])). 1.47/0.98 thf(zip_derived_cl53, plain, 1.47/0.98 (![X0 : $i, X1 : $i, X3 : $i]: 1.47/0.98 (~ (rel @ X1 @ X3) 1.47/0.98 | (s @ X3) 1.47/0.98 | (a @ X0) 1.47/0.98 | ~ (rel @ '#sk2' @ X0) 1.47/0.98 | ~ (rel @ X0 @ X1) 1.47/0.98 | (a @ X1))), 1.47/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl52])). 1.47/0.98 thf(zip_derived_cl192, plain, 1.47/0.98 (![X0 : $i]: 1.47/0.98 ( (a @ '#sk3') 1.47/0.98 | ~ (rel @ X0 @ '#sk3') 1.47/0.98 | ~ (rel @ '#sk2' @ X0) 1.47/0.98 | (a @ X0) 1.47/0.98 | (s @ '#sk4'))), 1.47/0.98 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl53])). 1.47/0.98 thf(zip_derived_cl34, plain, (~ (a @ '#sk3')), 1.47/0.98 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl32])). 1.47/0.98 thf(zip_derived_cl43, plain, (~ (s @ '#sk4')), 1.47/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])). 1.47/0.98 thf(zip_derived_cl214, plain, 1.47/0.98 (![X0 : $i]: (~ (rel @ X0 @ '#sk3') | ~ (rel @ '#sk2' @ X0) | (a @ X0))), 1.47/0.98 inference('demod', [status(thm)], 1.47/0.98 [zip_derived_cl192, zip_derived_cl34, zip_derived_cl43])). 1.47/0.98 thf(zip_derived_cl354, plain, (( (a @ '#sk3') | ~ (rel @ '#sk2' @ '#sk3'))), 1.47/0.98 inference('sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl214])). 1.47/0.98 thf(zip_derived_cl34, plain, (~ (a @ '#sk3')), 1.47/0.98 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl32])). 1.47/0.98 thf(zip_derived_cl26, plain, ( (rel @ '#sk2' @ '#sk3')), 1.47/0.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 1.47/0.98 thf(zip_derived_cl359, plain, ($false), 1.47/0.98 inference('demod', [status(thm)], 1.47/0.98 [zip_derived_cl354, zip_derived_cl34, zip_derived_cl26])). 1.47/0.98 1.47/0.98 % SZS output end Refutation 1.47/0.98 1.47/0.98 1.47/0.98 % Terminating... 1.90/1.02 % Runner terminated. 1.90/1.03 % Zipperpin 1.5 exiting 1.90/1.03 EOF