%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : AGT035^2 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OzkcB4fl5l true
% Computer : n007.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 04:27:15 PM UTC 2025
% Result : Theorem 4.05s 1.20s
% Output : Refutation 4.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.16 % Problem : AGT035^2 : TPTP v9.2.0. Released v5.2.0.
% 0.12/0.17 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OzkcB4fl5l true
% 0.14/0.39 % Computer : n007.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8042.1875MB
% 0.14/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Wed Oct 1 11:13:53 EDT 2025
% 0.14/0.39 % CPUTime :
% 0.14/0.39 % Running portfolio for 300 s
% 0.14/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39 % Number of cores: 8
% 0.14/0.39 % Python version: Python 3.6.8
% 0.14/0.39 % Running in HO mode
% 0.52/0.65 % Total configuration time : 828
% 0.52/0.65 % Estimated wc time : 1656
% 0.52/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.54/0.86 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.55/0.94 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.55/1.01 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 4.05/1.20 % Solved by lams/40_noforms.sh.
% 4.05/1.20 % done 242 iterations in 0.366s
% 4.05/1.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.05/1.20 % SZS output start Refutation
% 4.05/1.20 thf(mu_type, type, mu: $tType).
% 4.05/1.20 thf(sk__7_type, type, sk__7: $i > mu > mu > $i).
% 4.05/1.20 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 4.05/1.20 thf(likes_type, type, likes: mu > mu > $i > $o).
% 4.05/1.20 thf(a1_type, type, a1: $i > $i > $o).
% 4.05/1.20 thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 4.05/1.20 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > mu > mu > $o).
% 4.05/1.20 thf(sk__9_type, type, sk__9: $i).
% 4.05/1.20 thf(piotr_type, type, piotr: mu).
% 4.05/1.20 thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
% 4.05/1.20 thf(pepsi_type, type, pepsi: mu).
% 4.05/1.20 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 4.05/1.20 thf(mdia_type, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 4.05/1.20 thf(cola_type, type, cola: mu).
% 4.05/1.20 thf(sk__4_type, type, sk__4: $i > $i).
% 4.05/1.20 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > mu > mu > $o).
% 4.05/1.20 thf(a2_type, type, a2: $i > $i > $o).
% 4.05/1.20 thf(a3_type, type, a3: $i > $i > $o).
% 4.05/1.20 thf(jan_type, type, jan: mu).
% 4.05/1.20 thf(sk__6_type, type, sk__6: $i > mu > mu > $i).
% 4.05/1.20 thf(very_much_likes_type, type, very_much_likes: mu > mu > $i > $o).
% 4.05/1.20 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 4.05/1.20 thf(mforall_ind_type, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 4.05/1.20 thf(mvalid_type, type, mvalid: ($i > $o) > $o).
% 4.05/1.20 thf(mvalid, axiom,(( mvalid ) =
% 4.05/1.20 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))).
% 4.05/1.20 thf('0', plain,
% 4.05/1.20 (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )),
% 4.05/1.20 inference('simplify_rw_rule', [status(thm)], [mvalid])).
% 4.05/1.20 thf('1', plain,
% 4.05/1.20 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )),
% 4.05/1.20 define([status(thm)])).
% 4.05/1.20 thf(conj, conjecture, (mvalid @ ( likes @ jan @ cola ))).
% 4.05/1.20 thf(zf_stmt_0, conjecture, (![X4:$i]: ( likes @ jan @ cola @ X4 ))).
% 4.05/1.20 thf(zf_stmt_1, negated_conjecture,
% 4.05/1.20 (~( ![X4:$i]: ( likes @ jan @ cola @ X4 ) )),
% 4.05/1.20 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 4.05/1.20 thf(zip_derived_cl25, plain, (~ (likes @ jan @ cola @ sk__9)),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.05/1.20 thf(mdia, axiom,(( mdia ) =
% 4.05/1.20 (^[R:( $i > $i > $o ),Phi:( $i > $o )]:
% 4.05/1.20 ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) )))).
% 4.05/1.20 thf(mbox, axiom,(( mbox ) =
% 4.05/1.20 (^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]:
% 4.05/1.20 ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) )))).
% 4.05/1.20 thf('2', plain,
% 4.05/1.20 (( mbox ) =
% 4.05/1.20 ( ^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]:
% 4.05/1.20 ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) ) )),
% 4.05/1.20 inference('simplify_rw_rule', [status(thm)], [mbox])).
% 4.05/1.20 thf('3', plain,
% 4.05/1.20 (( mbox ) =
% 4.05/1.20 ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o ),V_3:$i]:
% 4.05/1.20 ( ![X4:$i]: ( ( V_2 @ X4 ) | ( ~( V_1 @ V_3 @ X4 ) ) ) ) )),
% 4.05/1.20 define([status(thm)])).
% 4.05/1.20 thf(mnot, axiom,(( mnot ) = (^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) )))).
% 4.05/1.20 thf('4', plain, (( mnot ) = ( ^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) ) )),
% 4.05/1.20 inference('simplify_rw_rule', [status(thm)], [mnot])).
% 4.05/1.20 thf('5', plain,
% 4.05/1.20 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )),
% 4.05/1.20 define([status(thm)])).
% 4.05/1.20 thf('6', plain,
% 4.05/1.20 (( mdia ) =
% 4.05/1.20 ( ^[R:( $i > $i > $o ),Phi:( $i > $o )]:
% 4.05/1.20 ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) )),
% 4.05/1.20 inference('simplify_rw_rule', [status(thm)], [mdia, '3', '5'])).
% 4.05/1.20 thf('7', plain,
% 4.05/1.20 (( mdia ) =
% 4.05/1.20 ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o )]:
% 4.05/1.20 ( mnot @ ( mbox @ V_1 @ ( mnot @ V_2 ) ) ) )),
% 4.05/1.20 define([status(thm)])).
% 4.05/1.20 thf(axiom_a3_2, axiom, (mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ))).
% 4.05/1.20 thf(zf_stmt_2, axiom,
% 4.05/1.20 (![X4:$i]:
% 4.05/1.20 ( ~( ![X6:$i]:
% 4.05/1.20 ( ( ~( likes @ piotr @ pepsi @ X6 ) ) | ( ~( a3 @ X4 @ X6 ) ) ) ) ))).
% 4.05/1.20 thf(zip_derived_cl10, plain, (![X0 : $i]: (a3 @ X0 @ (sk__4 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.05/1.20 thf(zip_derived_cl10, plain, (![X0 : $i]: (a3 @ X0 @ (sk__4 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.05/1.20 thf(zip_derived_cl10, plain, (![X0 : $i]: (a3 @ X0 @ (sk__4 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.05/1.20 thf(zip_derived_cl10, plain, (![X0 : $i]: (a3 @ X0 @ (sk__4 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.05/1.20 thf(zip_derived_cl10, plain, (![X0 : $i]: (a3 @ X0 @ (sk__4 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.05/1.20 thf(zip_derived_cl10, plain, (![X0 : $i]: (a3 @ X0 @ (sk__4 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.05/1.20 thf(axiom_a3_1, axiom, (mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ))).
% 4.05/1.20 thf(zf_stmt_3, axiom,
% 4.05/1.20 (![X4:$i,X6:$i]: ( ( likes @ jan @ cola @ X6 ) | ( ~( a3 @ X4 @ X6 ) ) ))).
% 4.05/1.20 thf(zip_derived_cl9, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]: ( (likes @ jan @ cola @ X0) | ~ (a3 @ X1 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.05/1.20 thf(zip_derived_cl26, plain,
% 4.05/1.20 (![X0 : $i]: (likes @ jan @ cola @ (sk__4 @ X0))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 4.05/1.20 thf(mforall_ind, axiom,(( mforall_ind ) =
% 4.05/1.20 (^[Phi:( mu > $i > $o ),W:$i]: ( ![X:mu]: ( Phi @ X @ W ) )))).
% 4.05/1.20 thf('8', plain,
% 4.05/1.20 (( mforall_ind ) =
% 4.05/1.20 ( ^[Phi:( mu > $i > $o ),W:$i]: ( ![X:mu]: ( Phi @ X @ W ) ) )),
% 4.05/1.20 inference('simplify_rw_rule', [status(thm)], [mforall_ind])).
% 4.05/1.20 thf('9', plain,
% 4.05/1.20 (( mforall_ind ) =
% 4.05/1.20 ( ^[V_1:( mu > $i > $o ),V_2:$i]: ( ![X4:mu]: ( V_1 @ X4 @ V_2 ) ) )),
% 4.05/1.20 define([status(thm)])).
% 4.05/1.20 thf(mimplies, axiom,(( mimplies ) =
% 4.05/1.20 (^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi )))).
% 4.05/1.20 thf(mor, axiom,(( mor ) =
% 4.05/1.20 (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) )))).
% 4.05/1.20 thf('10', plain,
% 4.05/1.20 (( mor ) =
% 4.05/1.20 ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) ) )),
% 4.05/1.20 inference('simplify_rw_rule', [status(thm)], [mor])).
% 4.05/1.20 thf('11', plain,
% 4.05/1.20 (( mor ) =
% 4.05/1.20 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
% 4.05/1.20 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )),
% 4.05/1.20 define([status(thm)])).
% 4.05/1.20 thf('12', plain,
% 4.05/1.20 (( mimplies ) =
% 4.05/1.20 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi ) )),
% 4.05/1.20 inference('simplify_rw_rule', [status(thm)], [mimplies, '11', '5'])).
% 4.05/1.20 thf('13', plain,
% 4.05/1.20 (( mimplies ) =
% 4.05/1.20 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )),
% 4.05/1.20 define([status(thm)])).
% 4.05/1.20 thf(mand, axiom,(( mand ) =
% 4.05/1.20 (^[Phi:( $i > $o ),Psi:( $i > $o )]:
% 4.05/1.20 ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) )))).
% 4.05/1.20 thf('14', plain,
% 4.05/1.20 (( mand ) =
% 4.05/1.20 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]:
% 4.05/1.20 ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) )),
% 4.05/1.20 inference('simplify_rw_rule', [status(thm)], [mand, '11', '5'])).
% 4.05/1.20 thf('15', plain,
% 4.05/1.20 (( mand ) =
% 4.05/1.20 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]:
% 4.05/1.20 ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) )),
% 4.05/1.20 define([status(thm)])).
% 4.05/1.20 thf(axiom_a3_4, axiom,
% 4.05/1.20 (mvalid @
% 4.05/1.20 ( mforall_ind @
% 4.05/1.20 ( ^[X:mu]:
% 4.05/1.20 ( mforall_ind @
% 4.05/1.20 ( ^[Y:mu]:
% 4.05/1.20 ( mbox @
% 4.05/1.20 a3 @
% 4.05/1.20 ( mimplies @
% 4.05/1.20 ( mand @
% 4.05/1.20 ( likes @ X @ Y ) @
% 4.05/1.20 ( mand @
% 4.05/1.20 ( mbox @ a1 @ ( likes @ X @ Y ) ) @
% 4.05/1.20 ( mbox @ a2 @ ( likes @ X @ Y ) ) ) ) @
% 4.05/1.20 ( very_much_likes @ X @ Y ) ) ) ) ) ) ))).
% 4.05/1.20 thf(zf_stmt_4, axiom,
% 4.05/1.20 (![X4:$i,X6:mu,X8:mu,X10:$i]:
% 4.05/1.20 ( ( ~( a3 @ X4 @ X10 ) ) | ( very_much_likes @ X6 @ X8 @ X10 ) |
% 4.05/1.20 ( ~( likes @ X6 @ X8 @ X10 ) ) |
% 4.05/1.20 ( ~( ![X14:$i]: ( ( ~( a2 @ X10 @ X14 ) ) | ( likes @ X6 @ X8 @ X14 ) ) ) ) |
% 4.05/1.20 ( ~( ![X12:$i]: ( ( ~( a1 @ X10 @ X12 ) ) | ( likes @ X6 @ X8 @ X12 ) ) ) ) ))).
% 4.05/1.20 thf(zf_stmt_5, axiom,
% 4.05/1.20 (![X14:$i,X10:$i,X8:mu,X6:mu]:
% 4.05/1.20 ( ( ( likes @ X6 @ X8 @ X14 ) | ( ~( a2 @ X10 @ X14 ) ) ) =>
% 4.05/1.20 ( zip_tseitin_0 @ X14 @ X10 @ X8 @ X6 ) ))).
% 4.05/1.20 thf(zip_derived_cl15, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i, X2 : mu, X3 : mu]:
% 4.05/1.20 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3) | (a2 @ X1 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.05/1.20 thf(zf_stmt_6, axiom,
% 4.05/1.20 (![X12:$i,X10:$i,X8:mu,X6:mu]:
% 4.05/1.20 ( ( ( likes @ X6 @ X8 @ X12 ) | ( ~( a1 @ X10 @ X12 ) ) ) =>
% 4.05/1.20 ( zip_tseitin_1 @ X12 @ X10 @ X8 @ X6 ) ))).
% 4.05/1.20 thf(zip_derived_cl17, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i, X2 : mu, X3 : mu]:
% 4.05/1.20 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3) | (a1 @ X1 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.05/1.20 thf(zf_stmt_7, type, zip_tseitin_1 : $i > $i > mu > mu > $o).
% 4.05/1.20 thf(zf_stmt_8, type, zip_tseitin_0 : $i > $i > mu > mu > $o).
% 4.05/1.20 thf(zf_stmt_9, axiom,
% 4.05/1.20 (![X4:$i,X6:mu,X8:mu,X10:$i]:
% 4.05/1.20 ( ( ~( ![X12:$i]: ( zip_tseitin_1 @ X12 @ X10 @ X8 @ X6 ) ) ) |
% 4.05/1.20 ( ~( ![X14:$i]: ( zip_tseitin_0 @ X14 @ X10 @ X8 @ X6 ) ) ) |
% 4.05/1.20 ( ~( likes @ X6 @ X8 @ X10 ) ) | ( very_much_likes @ X6 @ X8 @ X10 ) |
% 4.05/1.20 ( ~( a3 @ X4 @ X10 ) ) ))).
% 4.05/1.20 thf(zip_derived_cl18, plain,
% 4.05/1.20 (![X0 : $i, X1 : mu, X2 : mu, X3 : $i]:
% 4.05/1.20 (~ (zip_tseitin_1 @ (sk__6 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 4.05/1.20 | ~ (zip_tseitin_0 @ (sk__7 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 4.05/1.20 | ~ (likes @ X2 @ X1 @ X0)
% 4.05/1.20 | (very_much_likes @ X2 @ X1 @ X0)
% 4.05/1.20 | ~ (a3 @ X3 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_9])).
% 4.05/1.20 thf(zip_derived_cl85, plain,
% 4.05/1.20 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 4.05/1.20 ( (a1 @ X2 @ (sk__6 @ X2 @ X1 @ X0))
% 4.05/1.20 | ~ (a3 @ X3 @ X2)
% 4.05/1.20 | (very_much_likes @ X0 @ X1 @ X2)
% 4.05/1.20 | ~ (likes @ X0 @ X1 @ X2)
% 4.05/1.20 | ~ (zip_tseitin_0 @ (sk__7 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl18])).
% 4.05/1.20 thf(zip_derived_cl183, plain,
% 4.05/1.20 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 4.05/1.20 ( (a2 @ X2 @ (sk__7 @ X2 @ X1 @ X0))
% 4.05/1.20 | ~ (likes @ X0 @ X1 @ X2)
% 4.05/1.20 | (very_much_likes @ X0 @ X1 @ X2)
% 4.05/1.20 | ~ (a3 @ X3 @ X2)
% 4.05/1.20 | (a1 @ X2 @ (sk__6 @ X2 @ X1 @ X0)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl85])).
% 4.05/1.20 thf(zip_derived_cl208, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]:
% 4.05/1.20 ( (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | ~ (a3 @ X1 @ (sk__4 @ X0))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (a2 @ (sk__4 @ X0) @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl183])).
% 4.05/1.20 thf(zip_derived_cl217, plain,
% 4.05/1.20 (![X0 : $i]:
% 4.05/1.20 ( (a2 @ (sk__4 @ X0) @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl208])).
% 4.05/1.20 thf(zip_derived_cl217, plain,
% 4.05/1.20 (![X0 : $i]:
% 4.05/1.20 ( (a2 @ (sk__4 @ X0) @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl208])).
% 4.05/1.20 thf(axiom_a2_1, axiom, (mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ))).
% 4.05/1.20 thf(zf_stmt_10, axiom,
% 4.05/1.20 (![X4:$i,X6:$i]: ( ( likes @ jan @ pepsi @ X6 ) | ( ~( a2 @ X4 @ X6 ) ) ))).
% 4.05/1.20 thf(zip_derived_cl4, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]: ( (likes @ jan @ pepsi @ X0) | ~ (a2 @ X1 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_10])).
% 4.05/1.20 thf(zip_derived_cl219, plain,
% 4.05/1.20 (![X0 : $i]:
% 4.05/1.20 ( (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (likes @ jan @ pepsi @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl217, zip_derived_cl4])).
% 4.05/1.20 thf(axiom_a2_4, axiom,
% 4.05/1.20 (mvalid @
% 4.05/1.20 ( mforall_ind @
% 4.05/1.20 ( ^[X:mu]:
% 4.05/1.20 ( mbox @
% 4.05/1.20 a2 @ ( mimplies @ ( likes @ X @ pepsi ) @ ( likes @ X @ cola ) ) ) ) ))).
% 4.05/1.20 thf(zf_stmt_11, axiom,
% 4.05/1.20 (![X4:$i,X6:mu,X8:$i]:
% 4.05/1.20 ( ( ~( likes @ X6 @ pepsi @ X8 ) ) | ( likes @ X6 @ cola @ X8 ) |
% 4.05/1.20 ( ~( a2 @ X4 @ X8 ) ) ))).
% 4.05/1.20 thf(zip_derived_cl7, plain,
% 4.05/1.20 (![X0 : mu, X1 : $i, X2 : $i]:
% 4.05/1.20 (~ (likes @ X0 @ pepsi @ X1)
% 4.05/1.20 | (likes @ X0 @ cola @ X1)
% 4.05/1.20 | ~ (a2 @ X2 @ X1))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_11])).
% 4.05/1.20 thf(zip_derived_cl224, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]:
% 4.05/1.20 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | ~ (a2 @ X1 @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (likes @ jan @ cola @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl219, zip_derived_cl7])).
% 4.05/1.20 thf(zip_derived_cl370, plain,
% 4.05/1.20 (![X0 : $i]:
% 4.05/1.20 ( (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (likes @ jan @ cola @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl217, zip_derived_cl224])).
% 4.05/1.20 thf(zip_derived_cl372, plain,
% 4.05/1.20 (![X0 : $i]:
% 4.05/1.20 ( (likes @ jan @ cola @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan)))),
% 4.05/1.20 inference('simplify', [status(thm)], [zip_derived_cl370])).
% 4.05/1.20 thf(axiom_a1_1, axiom, (mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ))).
% 4.05/1.20 thf(zf_stmt_12, axiom,
% 4.05/1.20 (![X4:$i,X6:$i]: ( ( likes @ jan @ cola @ X6 ) | ( ~( a1 @ X4 @ X6 ) ) ))).
% 4.05/1.20 thf(zip_derived_cl0, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]: ( (likes @ jan @ cola @ X0) | ~ (a1 @ X1 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_12])).
% 4.05/1.20 thf(zip_derived_cl378, plain,
% 4.05/1.20 (![X0 : $i]:
% 4.05/1.20 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (likes @ jan @ cola @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl372, zip_derived_cl0])).
% 4.05/1.20 thf(zip_derived_cl14, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i, X2 : mu, X3 : mu]:
% 4.05/1.20 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3) | ~ (likes @ X3 @ X2 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.05/1.20 thf(zip_derived_cl85, plain,
% 4.05/1.20 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 4.05/1.20 ( (a1 @ X2 @ (sk__6 @ X2 @ X1 @ X0))
% 4.05/1.20 | ~ (a3 @ X3 @ X2)
% 4.05/1.20 | (very_much_likes @ X0 @ X1 @ X2)
% 4.05/1.20 | ~ (likes @ X0 @ X1 @ X2)
% 4.05/1.20 | ~ (zip_tseitin_0 @ (sk__7 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl18])).
% 4.05/1.20 thf(zip_derived_cl184, plain,
% 4.05/1.20 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 4.05/1.20 (~ (likes @ X0 @ X1 @ (sk__7 @ X2 @ X1 @ X0))
% 4.05/1.20 | ~ (likes @ X0 @ X1 @ X2)
% 4.05/1.20 | (very_much_likes @ X0 @ X1 @ X2)
% 4.05/1.20 | ~ (a3 @ X3 @ X2)
% 4.05/1.20 | (a1 @ X2 @ (sk__6 @ X2 @ X1 @ X0)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl85])).
% 4.05/1.20 thf(zip_derived_cl387, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]:
% 4.05/1.20 ( (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | ~ (a3 @ X1 @ (sk__4 @ X0))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | ~ (likes @ jan @ cola @ (sk__4 @ X0)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl378, zip_derived_cl184])).
% 4.05/1.20 thf(zip_derived_cl26, plain,
% 4.05/1.20 (![X0 : $i]: (likes @ jan @ cola @ (sk__4 @ X0))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 4.05/1.20 thf(zip_derived_cl402, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]:
% 4.05/1.20 ( (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | ~ (a3 @ X1 @ (sk__4 @ X0))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0)))),
% 4.05/1.20 inference('demod', [status(thm)], [zip_derived_cl387, zip_derived_cl26])).
% 4.05/1.20 thf(zip_derived_cl403, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]:
% 4.05/1.20 (~ (a3 @ X1 @ (sk__4 @ X0))
% 4.05/1.20 | (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan)))),
% 4.05/1.20 inference('simplify', [status(thm)], [zip_derived_cl402])).
% 4.05/1.20 thf(zip_derived_cl0, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]: ( (likes @ jan @ cola @ X0) | ~ (a1 @ X1 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_12])).
% 4.05/1.20 thf(zip_derived_cl548, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]:
% 4.05/1.20 ( (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | ~ (a3 @ X1 @ (sk__4 @ X0)))),
% 4.05/1.20 inference('clc', [status(thm)], [zip_derived_cl403, zip_derived_cl0])).
% 4.05/1.20 thf(zip_derived_cl549, plain,
% 4.05/1.20 (![X0 : $i]:
% 4.05/1.20 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl548])).
% 4.05/1.20 thf(zip_derived_cl15, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i, X2 : mu, X3 : mu]:
% 4.05/1.20 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3) | (a2 @ X1 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.05/1.20 thf(zip_derived_cl16, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i, X2 : mu, X3 : mu]:
% 4.05/1.20 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3) | ~ (likes @ X3 @ X2 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.05/1.20 thf(zip_derived_cl18, plain,
% 4.05/1.20 (![X0 : $i, X1 : mu, X2 : mu, X3 : $i]:
% 4.05/1.20 (~ (zip_tseitin_1 @ (sk__6 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 4.05/1.20 | ~ (zip_tseitin_0 @ (sk__7 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 4.05/1.20 | ~ (likes @ X2 @ X1 @ X0)
% 4.05/1.20 | (very_much_likes @ X2 @ X1 @ X0)
% 4.05/1.20 | ~ (a3 @ X3 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_9])).
% 4.05/1.20 thf(zip_derived_cl86, plain,
% 4.05/1.20 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 4.05/1.20 (~ (likes @ X0 @ X1 @ (sk__6 @ X2 @ X1 @ X0))
% 4.05/1.20 | ~ (a3 @ X3 @ X2)
% 4.05/1.20 | (very_much_likes @ X0 @ X1 @ X2)
% 4.05/1.20 | ~ (likes @ X0 @ X1 @ X2)
% 4.05/1.20 | ~ (zip_tseitin_0 @ (sk__7 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl18])).
% 4.05/1.20 thf(zip_derived_cl197, plain,
% 4.05/1.20 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 4.05/1.20 ( (a2 @ X2 @ (sk__7 @ X2 @ X1 @ X0))
% 4.05/1.20 | ~ (likes @ X0 @ X1 @ X2)
% 4.05/1.20 | (very_much_likes @ X0 @ X1 @ X2)
% 4.05/1.20 | ~ (a3 @ X3 @ X2)
% 4.05/1.20 | ~ (likes @ X0 @ X1 @ (sk__6 @ X2 @ X1 @ X0)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl86])).
% 4.05/1.20 thf(zip_derived_cl555, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]:
% 4.05/1.20 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | ~ (a3 @ X1 @ (sk__4 @ X0))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | ~ (likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (a2 @ (sk__4 @ X0) @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl549, zip_derived_cl197])).
% 4.05/1.20 thf(zip_derived_cl26, plain,
% 4.05/1.20 (![X0 : $i]: (likes @ jan @ cola @ (sk__4 @ X0))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 4.05/1.20 thf(zip_derived_cl571, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]:
% 4.05/1.20 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | ~ (a3 @ X1 @ (sk__4 @ X0))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (a2 @ (sk__4 @ X0) @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 4.05/1.20 inference('demod', [status(thm)], [zip_derived_cl555, zip_derived_cl26])).
% 4.05/1.20 thf(zip_derived_cl572, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]:
% 4.05/1.20 ( (a2 @ (sk__4 @ X0) @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | ~ (a3 @ X1 @ (sk__4 @ X0))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0)))),
% 4.05/1.20 inference('simplify', [status(thm)], [zip_derived_cl571])).
% 4.05/1.20 thf(zip_derived_cl613, plain,
% 4.05/1.20 (![X0 : $i]:
% 4.05/1.20 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (a2 @ (sk__4 @ X0) @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl572])).
% 4.05/1.20 thf(zip_derived_cl613, plain,
% 4.05/1.20 (![X0 : $i]:
% 4.05/1.20 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (a2 @ (sk__4 @ X0) @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl572])).
% 4.05/1.20 thf(zip_derived_cl4, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]: ( (likes @ jan @ pepsi @ X0) | ~ (a2 @ X1 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_10])).
% 4.05/1.20 thf(zip_derived_cl639, plain,
% 4.05/1.20 (![X0 : $i]:
% 4.05/1.20 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (likes @ jan @ pepsi @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl613, zip_derived_cl4])).
% 4.05/1.20 thf(zip_derived_cl7, plain,
% 4.05/1.20 (![X0 : mu, X1 : $i, X2 : $i]:
% 4.05/1.20 (~ (likes @ X0 @ pepsi @ X1)
% 4.05/1.20 | (likes @ X0 @ cola @ X1)
% 4.05/1.20 | ~ (a2 @ X2 @ X1))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_11])).
% 4.05/1.20 thf(zip_derived_cl645, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]:
% 4.05/1.20 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | ~ (a2 @ X1 @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (likes @ jan @ cola @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl639, zip_derived_cl7])).
% 4.05/1.20 thf(zip_derived_cl667, plain,
% 4.05/1.20 (![X0 : $i]:
% 4.05/1.20 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (likes @ jan @ cola @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl613, zip_derived_cl645])).
% 4.05/1.20 thf(zip_derived_cl669, plain,
% 4.05/1.20 (![X0 : $i]:
% 4.05/1.20 ( (likes @ jan @ cola @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0)))),
% 4.05/1.20 inference('simplify', [status(thm)], [zip_derived_cl667])).
% 4.05/1.20 thf(zip_derived_cl14, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i, X2 : mu, X3 : mu]:
% 4.05/1.20 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3) | ~ (likes @ X3 @ X2 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.05/1.20 thf(zip_derived_cl86, plain,
% 4.05/1.20 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 4.05/1.20 (~ (likes @ X0 @ X1 @ (sk__6 @ X2 @ X1 @ X0))
% 4.05/1.20 | ~ (a3 @ X3 @ X2)
% 4.05/1.20 | (very_much_likes @ X0 @ X1 @ X2)
% 4.05/1.20 | ~ (likes @ X0 @ X1 @ X2)
% 4.05/1.20 | ~ (zip_tseitin_0 @ (sk__7 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl18])).
% 4.05/1.20 thf(zip_derived_cl198, plain,
% 4.05/1.20 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 4.05/1.20 (~ (likes @ X0 @ X1 @ (sk__7 @ X2 @ X1 @ X0))
% 4.05/1.20 | ~ (likes @ X0 @ X1 @ X2)
% 4.05/1.20 | (very_much_likes @ X0 @ X1 @ X2)
% 4.05/1.20 | ~ (a3 @ X3 @ X2)
% 4.05/1.20 | ~ (likes @ X0 @ X1 @ (sk__6 @ X2 @ X1 @ X0)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl86])).
% 4.05/1.20 thf(zip_derived_cl674, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]:
% 4.05/1.20 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | ~ (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | ~ (a3 @ X1 @ (sk__4 @ X0))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | ~ (likes @ jan @ cola @ (sk__4 @ X0)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl669, zip_derived_cl198])).
% 4.05/1.20 thf(zip_derived_cl26, plain,
% 4.05/1.20 (![X0 : $i]: (likes @ jan @ cola @ (sk__4 @ X0))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 4.05/1.20 thf(zip_derived_cl689, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]:
% 4.05/1.20 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | ~ (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | ~ (a3 @ X1 @ (sk__4 @ X0))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0)))),
% 4.05/1.20 inference('demod', [status(thm)], [zip_derived_cl674, zip_derived_cl26])).
% 4.05/1.20 thf(zip_derived_cl690, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]:
% 4.05/1.20 (~ (a3 @ X1 @ (sk__4 @ X0))
% 4.05/1.20 | ~ (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 4.05/1.20 | (very_much_likes @ jan @ cola @ (sk__4 @ X0)))),
% 4.05/1.20 inference('simplify', [status(thm)], [zip_derived_cl689])).
% 4.05/1.20 thf(zip_derived_cl549, plain,
% 4.05/1.20 (![X0 : $i]:
% 4.05/1.20 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl548])).
% 4.05/1.20 thf(zip_derived_cl703, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]:
% 4.05/1.20 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 4.05/1.20 | ~ (a3 @ X1 @ (sk__4 @ X0)))),
% 4.05/1.20 inference('clc', [status(thm)], [zip_derived_cl690, zip_derived_cl549])).
% 4.05/1.20 thf(zip_derived_cl704, plain,
% 4.05/1.20 (![X0 : $i]: (very_much_likes @ jan @ cola @ (sk__4 @ X0))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl703])).
% 4.05/1.20 thf(axiom_user_communication_2, axiom,
% 4.05/1.20 (mvalid @
% 4.05/1.20 ( mforall_ind @
% 4.05/1.20 ( ^[X:mu]:
% 4.05/1.20 ( mforall_ind @
% 4.05/1.20 ( ^[Y:mu]:
% 4.05/1.20 ( mimplies @
% 4.05/1.20 ( mdia @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( likes @ X @ Y ) ) ) ) ) ))).
% 4.05/1.20 thf(zf_stmt_13, axiom,
% 4.05/1.20 (![X4:$i,X6:mu,X8:mu]:
% 4.05/1.20 ( ( ![X10:$i]:
% 4.05/1.20 ( ( ~( very_much_likes @ X6 @ X8 @ X10 ) ) | ( ~( a3 @ X4 @ X10 ) ) ) ) |
% 4.05/1.20 ( likes @ X6 @ X8 @ X4 ) ))).
% 4.05/1.20 thf(zip_derived_cl21, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i, X2 : mu, X3 : mu]:
% 4.05/1.20 (~ (a3 @ X0 @ X1)
% 4.05/1.20 | ~ (very_much_likes @ X2 @ X3 @ X1)
% 4.05/1.20 | (likes @ X2 @ X3 @ X0))),
% 4.05/1.20 inference('cnf', [status(esa)], [zf_stmt_13])).
% 4.05/1.20 thf(zip_derived_cl706, plain,
% 4.05/1.20 (![X0 : $i, X1 : $i]:
% 4.05/1.20 ( (likes @ jan @ cola @ X1) | ~ (a3 @ X1 @ (sk__4 @ X0)))),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl704, zip_derived_cl21])).
% 4.05/1.20 thf(zip_derived_cl708, plain, (![X0 : $i]: (likes @ jan @ cola @ X0)),
% 4.05/1.20 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl706])).
% 4.05/1.20 thf(zip_derived_cl710, plain, ($false),
% 4.05/1.20 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl708])).
% 4.05/1.20
% 4.05/1.20 % SZS output end Refutation
% 4.05/1.20
% 4.05/1.20
% 4.32/1.20 % Terminating...
% 4.57/1.30 % Runner terminated.
% 4.57/1.32 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------