%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : AGT034^2 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.17K6p5LjKx true
% Computer : n001.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 3.24s 1.25s
% Output : Refutation 3.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : AGT034^2 : TPTP v9.2.0. Released v5.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.17K6p5LjKx true
% 0.15/0.45 % Computer : n001.cluster.edu
% 0.15/0.45 % Model : x86_64 x86_64
% 0.15/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.45 % Memory : 8042.1875MB
% 0.15/0.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.45 % CPULimit : 300
% 0.15/0.45 % WCLimit : 300
% 0.15/0.45 % DateTime : Wed Oct 1 11:11:23 EDT 2025
% 0.15/0.46 % CPUTime :
% 0.15/0.46 % Running portfolio for 300 s
% 0.15/0.46 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.46 % Number of cores: 8
% 0.22/0.50 % Python version: Python 3.6.8
% 0.22/0.50 % Running in HO mode
% 0.38/0.88 % Total configuration time : 828
% 0.38/0.88 % Estimated wc time : 1656
% 0.38/0.88 % Estimated cpu time (8 cpus) : 207.0
% 0.39/0.97 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.39/0.99 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.39/1.00 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.39/1.00 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.39/1.01 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.39/1.01 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.39/1.01 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.39/1.03 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.39/1.04 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 3.24/1.25 % Solved by lams/40_noforms.sh.
% 3.24/1.25 % done 253 iterations in 0.222s
% 3.24/1.25 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.24/1.25 % SZS output start Refutation
% 3.24/1.25 thf(mu_type, type, mu: $tType).
% 3.24/1.25 thf(sk__7_type, type, sk__7: $i > mu > mu > $i).
% 3.24/1.25 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 3.24/1.25 thf(sk__8_type, type, sk__8: mu > mu > $i > $i).
% 3.24/1.25 thf(likes_type, type, likes: mu > mu > $i > $o).
% 3.24/1.25 thf(a1_type, type, a1: $i > $i > $o).
% 3.24/1.25 thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 3.24/1.25 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > mu > mu > $o).
% 3.24/1.25 thf(sk__9_type, type, sk__9: $i).
% 3.24/1.25 thf(piotr_type, type, piotr: mu).
% 3.24/1.25 thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
% 3.24/1.25 thf(pepsi_type, type, pepsi: mu).
% 3.24/1.25 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 3.24/1.25 thf(mdia_type, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 3.24/1.25 thf(cola_type, type, cola: mu).
% 3.24/1.25 thf(sk__4_type, type, sk__4: $i > $i).
% 3.24/1.25 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > mu > mu > $o).
% 3.24/1.25 thf(a2_type, type, a2: $i > $i > $o).
% 3.24/1.25 thf(a3_type, type, a3: $i > $i > $o).
% 3.24/1.25 thf(jan_type, type, jan: mu).
% 3.24/1.25 thf(sk__6_type, type, sk__6: $i > mu > mu > $i).
% 3.24/1.25 thf(very_much_likes_type, type, very_much_likes: mu > mu > $i > $o).
% 3.24/1.25 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 3.24/1.25 thf(mforall_ind_type, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 3.24/1.25 thf(mvalid_type, type, mvalid: ($i > $o) > $o).
% 3.24/1.25 thf(mvalid, axiom,(( mvalid ) =
% 3.24/1.25 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))).
% 3.24/1.25 thf('0', plain,
% 3.24/1.25 (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )),
% 3.24/1.25 inference('simplify_rw_rule', [status(thm)], [mvalid])).
% 3.24/1.25 thf('1', plain,
% 3.24/1.25 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )),
% 3.24/1.25 define([status(thm)])).
% 3.24/1.25 thf(conj, conjecture, (mvalid @ ( very_much_likes @ jan @ cola ))).
% 3.24/1.25 thf(zf_stmt_0, conjecture, (![X4:$i]: ( very_much_likes @ jan @ cola @ X4 ))).
% 3.24/1.25 thf(zf_stmt_1, negated_conjecture,
% 3.24/1.25 (~( ![X4:$i]: ( very_much_likes @ jan @ cola @ X4 ) )),
% 3.24/1.25 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 3.24/1.25 thf(zip_derived_cl25, plain, (~ (very_much_likes @ jan @ cola @ sk__9)),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.24/1.25 thf(mbox, axiom,(( mbox ) =
% 3.24/1.25 (^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]:
% 3.24/1.25 ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) )))).
% 3.24/1.25 thf('2', plain,
% 3.24/1.25 (( mbox ) =
% 3.24/1.25 ( ^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]:
% 3.24/1.25 ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) ) )),
% 3.24/1.25 inference('simplify_rw_rule', [status(thm)], [mbox])).
% 3.24/1.25 thf('3', plain,
% 3.24/1.25 (( mbox ) =
% 3.24/1.25 ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o ),V_3:$i]:
% 3.24/1.25 ( ![X4:$i]: ( ( V_2 @ X4 ) | ( ~( V_1 @ V_3 @ X4 ) ) ) ) )),
% 3.24/1.25 define([status(thm)])).
% 3.24/1.25 thf(mforall_ind, axiom,(( mforall_ind ) =
% 3.24/1.25 (^[Phi:( mu > $i > $o ),W:$i]: ( ![X:mu]: ( Phi @ X @ W ) )))).
% 3.24/1.25 thf('4', plain,
% 3.24/1.25 (( mforall_ind ) =
% 3.24/1.25 ( ^[Phi:( mu > $i > $o ),W:$i]: ( ![X:mu]: ( Phi @ X @ W ) ) )),
% 3.24/1.25 inference('simplify_rw_rule', [status(thm)], [mforall_ind])).
% 3.24/1.25 thf('5', plain,
% 3.24/1.25 (( mforall_ind ) =
% 3.24/1.25 ( ^[V_1:( mu > $i > $o ),V_2:$i]: ( ![X4:mu]: ( V_1 @ X4 @ V_2 ) ) )),
% 3.24/1.25 define([status(thm)])).
% 3.24/1.25 thf(mimplies, axiom,(( mimplies ) =
% 3.24/1.25 (^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi )))).
% 3.24/1.25 thf(mor, axiom,(( mor ) =
% 3.24/1.25 (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) )))).
% 3.24/1.25 thf('6', plain,
% 3.24/1.25 (( mor ) =
% 3.24/1.25 ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) ) )),
% 3.24/1.25 inference('simplify_rw_rule', [status(thm)], [mor])).
% 3.24/1.25 thf('7', plain,
% 3.24/1.25 (( mor ) =
% 3.24/1.25 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
% 3.24/1.25 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )),
% 3.24/1.25 define([status(thm)])).
% 3.24/1.25 thf(mnot, axiom,(( mnot ) = (^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) )))).
% 3.24/1.25 thf('8', plain, (( mnot ) = ( ^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) ) )),
% 3.24/1.25 inference('simplify_rw_rule', [status(thm)], [mnot])).
% 3.24/1.25 thf('9', plain,
% 3.24/1.25 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )),
% 3.24/1.25 define([status(thm)])).
% 3.24/1.25 thf('10', plain,
% 3.24/1.25 (( mimplies ) =
% 3.24/1.25 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi ) )),
% 3.24/1.25 inference('simplify_rw_rule', [status(thm)], [mimplies, '7', '9'])).
% 3.24/1.25 thf('11', plain,
% 3.24/1.25 (( mimplies ) =
% 3.24/1.25 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )),
% 3.24/1.25 define([status(thm)])).
% 3.24/1.25 thf(axiom_user_communication_1, axiom,
% 3.24/1.25 (mvalid @
% 3.24/1.25 ( mforall_ind @
% 3.24/1.25 ( ^[X:mu]:
% 3.24/1.25 ( mforall_ind @
% 3.24/1.25 ( ^[Y:mu]:
% 3.24/1.25 ( mimplies @
% 3.24/1.25 ( mbox @ a3 @ ( very_much_likes @ X @ Y ) ) @
% 3.24/1.25 ( very_much_likes @ X @ Y ) ) ) ) ) ))).
% 3.24/1.25 thf(zf_stmt_2, axiom,
% 3.24/1.25 (![X4:$i,X6:mu,X8:mu]:
% 3.24/1.25 ( ( ~( ![X10:$i]:
% 3.24/1.25 ( ( very_much_likes @ X6 @ X8 @ X10 ) | ( ~( a3 @ X4 @ X10 ) ) ) ) ) |
% 3.24/1.25 ( very_much_likes @ X6 @ X8 @ X4 ) ))).
% 3.24/1.25 thf(zip_derived_cl19, plain,
% 3.24/1.25 (![X0 : mu, X1 : mu, X2 : $i]:
% 3.24/1.25 (~ (very_much_likes @ X0 @ X1 @ (sk__8 @ X1 @ X0 @ X2))
% 3.24/1.25 | (very_much_likes @ X0 @ X1 @ X2))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.24/1.25 thf(zip_derived_cl20, plain,
% 3.24/1.25 (![X0 : $i, X1 : mu, X2 : mu]:
% 3.24/1.25 ( (a3 @ X0 @ (sk__8 @ X1 @ X2 @ X0))
% 3.24/1.25 | (very_much_likes @ X2 @ X1 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.24/1.25 thf(mdia, axiom,(( mdia ) =
% 3.24/1.25 (^[R:( $i > $i > $o ),Phi:( $i > $o )]:
% 3.24/1.25 ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) )))).
% 3.24/1.25 thf('12', plain,
% 3.24/1.25 (( mdia ) =
% 3.24/1.25 ( ^[R:( $i > $i > $o ),Phi:( $i > $o )]:
% 3.24/1.25 ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) )),
% 3.24/1.25 inference('simplify_rw_rule', [status(thm)], [mdia, '3', '9'])).
% 3.24/1.25 thf('13', plain,
% 3.24/1.25 (( mdia ) =
% 3.24/1.25 ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o )]:
% 3.24/1.25 ( mnot @ ( mbox @ V_1 @ ( mnot @ V_2 ) ) ) )),
% 3.24/1.25 define([status(thm)])).
% 3.24/1.25 thf(axiom_a3_2, axiom, (mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ))).
% 3.24/1.25 thf(zf_stmt_3, axiom,
% 3.24/1.25 (![X4:$i]:
% 3.24/1.25 ( ~( ![X6:$i]:
% 3.24/1.25 ( ( ~( likes @ piotr @ pepsi @ X6 ) ) | ( ~( a3 @ X4 @ X6 ) ) ) ) ))).
% 3.24/1.25 thf(zip_derived_cl10, plain, (![X0 : $i]: (a3 @ X0 @ (sk__4 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.24/1.25 thf(zip_derived_cl10, plain, (![X0 : $i]: (a3 @ X0 @ (sk__4 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.24/1.25 thf(zip_derived_cl10, plain, (![X0 : $i]: (a3 @ X0 @ (sk__4 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.24/1.25 thf(zip_derived_cl10, plain, (![X0 : $i]: (a3 @ X0 @ (sk__4 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.24/1.25 thf(zip_derived_cl10, plain, (![X0 : $i]: (a3 @ X0 @ (sk__4 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.24/1.25 thf(zip_derived_cl10, plain, (![X0 : $i]: (a3 @ X0 @ (sk__4 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.24/1.25 thf(axiom_a3_1, axiom, (mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ))).
% 3.24/1.25 thf(zf_stmt_4, axiom,
% 3.24/1.25 (![X4:$i,X6:$i]: ( ( likes @ jan @ cola @ X6 ) | ( ~( a3 @ X4 @ X6 ) ) ))).
% 3.24/1.25 thf(zip_derived_cl9, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]: ( (likes @ jan @ cola @ X0) | ~ (a3 @ X1 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_4])).
% 3.24/1.25 thf(zip_derived_cl26, plain,
% 3.24/1.25 (![X0 : $i]: (likes @ jan @ cola @ (sk__4 @ X0))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 3.24/1.25 thf(mand, axiom,(( mand ) =
% 3.24/1.25 (^[Phi:( $i > $o ),Psi:( $i > $o )]:
% 3.24/1.25 ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) )))).
% 3.24/1.25 thf('14', plain,
% 3.24/1.25 (( mand ) =
% 3.24/1.25 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]:
% 3.24/1.25 ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) )),
% 3.24/1.25 inference('simplify_rw_rule', [status(thm)], [mand, '7', '9'])).
% 3.24/1.25 thf('15', plain,
% 3.24/1.25 (( mand ) =
% 3.24/1.25 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]:
% 3.24/1.25 ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) )),
% 3.24/1.25 define([status(thm)])).
% 3.24/1.25 thf(axiom_a3_4, axiom,
% 3.24/1.25 (mvalid @
% 3.24/1.25 ( mforall_ind @
% 3.24/1.25 ( ^[X:mu]:
% 3.24/1.25 ( mforall_ind @
% 3.24/1.25 ( ^[Y:mu]:
% 3.24/1.25 ( mbox @
% 3.24/1.25 a3 @
% 3.24/1.25 ( mimplies @
% 3.24/1.25 ( mand @
% 3.24/1.25 ( likes @ X @ Y ) @
% 3.24/1.25 ( mand @
% 3.24/1.25 ( mbox @ a1 @ ( likes @ X @ Y ) ) @
% 3.24/1.25 ( mbox @ a2 @ ( likes @ X @ Y ) ) ) ) @
% 3.24/1.25 ( very_much_likes @ X @ Y ) ) ) ) ) ) ))).
% 3.24/1.25 thf(zf_stmt_5, axiom,
% 3.24/1.25 (![X4:$i,X6:mu,X8:mu,X10:$i]:
% 3.24/1.25 ( ( ~( a3 @ X4 @ X10 ) ) | ( very_much_likes @ X6 @ X8 @ X10 ) |
% 3.24/1.25 ( ~( likes @ X6 @ X8 @ X10 ) ) |
% 3.24/1.25 ( ~( ![X14:$i]: ( ( ~( a2 @ X10 @ X14 ) ) | ( likes @ X6 @ X8 @ X14 ) ) ) ) |
% 3.24/1.25 ( ~( ![X12:$i]: ( ( ~( a1 @ X10 @ X12 ) ) | ( likes @ X6 @ X8 @ X12 ) ) ) ) ))).
% 3.24/1.25 thf(zf_stmt_6, axiom,
% 3.24/1.25 (![X14:$i,X10:$i,X8:mu,X6:mu]:
% 3.24/1.25 ( ( ( likes @ X6 @ X8 @ X14 ) | ( ~( a2 @ X10 @ X14 ) ) ) =>
% 3.24/1.25 ( zip_tseitin_0 @ X14 @ X10 @ X8 @ X6 ) ))).
% 3.24/1.25 thf(zip_derived_cl15, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i, X2 : mu, X3 : mu]:
% 3.24/1.25 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3) | (a2 @ X1 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_6])).
% 3.24/1.25 thf(zf_stmt_7, axiom,
% 3.24/1.25 (![X12:$i,X10:$i,X8:mu,X6:mu]:
% 3.24/1.25 ( ( ( likes @ X6 @ X8 @ X12 ) | ( ~( a1 @ X10 @ X12 ) ) ) =>
% 3.24/1.25 ( zip_tseitin_1 @ X12 @ X10 @ X8 @ X6 ) ))).
% 3.24/1.25 thf(zip_derived_cl17, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i, X2 : mu, X3 : mu]:
% 3.24/1.25 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3) | (a1 @ X1 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_7])).
% 3.24/1.25 thf(zf_stmt_8, type, zip_tseitin_1 : $i > $i > mu > mu > $o).
% 3.24/1.25 thf(zf_stmt_9, type, zip_tseitin_0 : $i > $i > mu > mu > $o).
% 3.24/1.25 thf(zf_stmt_10, axiom,
% 3.24/1.25 (![X4:$i,X6:mu,X8:mu,X10:$i]:
% 3.24/1.25 ( ( ~( ![X12:$i]: ( zip_tseitin_1 @ X12 @ X10 @ X8 @ X6 ) ) ) |
% 3.24/1.25 ( ~( ![X14:$i]: ( zip_tseitin_0 @ X14 @ X10 @ X8 @ X6 ) ) ) |
% 3.24/1.25 ( ~( likes @ X6 @ X8 @ X10 ) ) | ( very_much_likes @ X6 @ X8 @ X10 ) |
% 3.24/1.25 ( ~( a3 @ X4 @ X10 ) ) ))).
% 3.24/1.25 thf(zip_derived_cl18, plain,
% 3.24/1.25 (![X0 : $i, X1 : mu, X2 : mu, X3 : $i]:
% 3.24/1.25 (~ (zip_tseitin_1 @ (sk__6 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (zip_tseitin_0 @ (sk__7 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (likes @ X2 @ X1 @ X0)
% 3.24/1.25 | (very_much_likes @ X2 @ X1 @ X0)
% 3.24/1.25 | ~ (a3 @ X3 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.24/1.25 thf(zip_derived_cl79, plain,
% 3.24/1.25 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 3.24/1.25 ( (a1 @ X2 @ (sk__6 @ X2 @ X1 @ X0))
% 3.24/1.25 | ~ (a3 @ X3 @ X2)
% 3.24/1.25 | (very_much_likes @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (likes @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (zip_tseitin_0 @ (sk__7 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl18])).
% 3.24/1.25 thf(zip_derived_cl158, plain,
% 3.24/1.25 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 3.24/1.25 ( (a2 @ X2 @ (sk__7 @ X2 @ X1 @ X0))
% 3.24/1.25 | ~ (likes @ X0 @ X1 @ X2)
% 3.24/1.25 | (very_much_likes @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (a3 @ X3 @ X2)
% 3.24/1.25 | (a1 @ X2 @ (sk__6 @ X2 @ X1 @ X0)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl79])).
% 3.24/1.25 thf(zip_derived_cl207, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 ( (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | ~ (a3 @ X1 @ (sk__4 @ X0))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (a2 @ (sk__4 @ X0) @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl158])).
% 3.24/1.25 thf(zip_derived_cl216, plain,
% 3.24/1.25 (![X0 : $i]:
% 3.24/1.25 ( (a2 @ (sk__4 @ X0) @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl207])).
% 3.24/1.25 thf(zip_derived_cl216, plain,
% 3.24/1.25 (![X0 : $i]:
% 3.24/1.25 ( (a2 @ (sk__4 @ X0) @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl207])).
% 3.24/1.25 thf(axiom_a2_1, axiom, (mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ))).
% 3.24/1.25 thf(zf_stmt_11, axiom,
% 3.24/1.25 (![X4:$i,X6:$i]: ( ( likes @ jan @ pepsi @ X6 ) | ( ~( a2 @ X4 @ X6 ) ) ))).
% 3.24/1.25 thf(zip_derived_cl4, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]: ( (likes @ jan @ pepsi @ X0) | ~ (a2 @ X1 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.24/1.25 thf(zip_derived_cl218, plain,
% 3.24/1.25 (![X0 : $i]:
% 3.24/1.25 ( (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (likes @ jan @ pepsi @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl216, zip_derived_cl4])).
% 3.24/1.25 thf(axiom_a2_4, axiom,
% 3.24/1.25 (mvalid @
% 3.24/1.25 ( mforall_ind @
% 3.24/1.25 ( ^[X:mu]:
% 3.24/1.25 ( mbox @
% 3.24/1.25 a2 @ ( mimplies @ ( likes @ X @ pepsi ) @ ( likes @ X @ cola ) ) ) ) ))).
% 3.24/1.25 thf(zf_stmt_12, axiom,
% 3.24/1.25 (![X4:$i,X6:mu,X8:$i]:
% 3.24/1.25 ( ( ~( likes @ X6 @ pepsi @ X8 ) ) | ( likes @ X6 @ cola @ X8 ) |
% 3.24/1.25 ( ~( a2 @ X4 @ X8 ) ) ))).
% 3.24/1.25 thf(zip_derived_cl7, plain,
% 3.24/1.25 (![X0 : mu, X1 : $i, X2 : $i]:
% 3.24/1.25 (~ (likes @ X0 @ pepsi @ X1)
% 3.24/1.25 | (likes @ X0 @ cola @ X1)
% 3.24/1.25 | ~ (a2 @ X2 @ X1))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_12])).
% 3.24/1.25 thf(zip_derived_cl223, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | ~ (a2 @ X1 @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (likes @ jan @ cola @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl218, zip_derived_cl7])).
% 3.24/1.25 thf(zip_derived_cl369, plain,
% 3.24/1.25 (![X0 : $i]:
% 3.24/1.25 ( (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (likes @ jan @ cola @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl216, zip_derived_cl223])).
% 3.24/1.25 thf(zip_derived_cl371, plain,
% 3.24/1.25 (![X0 : $i]:
% 3.24/1.25 ( (likes @ jan @ cola @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan)))),
% 3.24/1.25 inference('simplify', [status(thm)], [zip_derived_cl369])).
% 3.24/1.25 thf(axiom_a1_1, axiom, (mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ))).
% 3.24/1.25 thf(zf_stmt_13, axiom,
% 3.24/1.25 (![X4:$i,X6:$i]: ( ( likes @ jan @ cola @ X6 ) | ( ~( a1 @ X4 @ X6 ) ) ))).
% 3.24/1.25 thf(zip_derived_cl0, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]: ( (likes @ jan @ cola @ X0) | ~ (a1 @ X1 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_13])).
% 3.24/1.25 thf(zip_derived_cl377, plain,
% 3.24/1.25 (![X0 : $i]:
% 3.24/1.25 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (likes @ jan @ cola @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl371, zip_derived_cl0])).
% 3.24/1.25 thf(zip_derived_cl14, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i, X2 : mu, X3 : mu]:
% 3.24/1.25 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3) | ~ (likes @ X3 @ X2 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_6])).
% 3.24/1.25 thf(zip_derived_cl79, plain,
% 3.24/1.25 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 3.24/1.25 ( (a1 @ X2 @ (sk__6 @ X2 @ X1 @ X0))
% 3.24/1.25 | ~ (a3 @ X3 @ X2)
% 3.24/1.25 | (very_much_likes @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (likes @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (zip_tseitin_0 @ (sk__7 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl18])).
% 3.24/1.25 thf(zip_derived_cl159, plain,
% 3.24/1.25 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 3.24/1.25 (~ (likes @ X0 @ X1 @ (sk__7 @ X2 @ X1 @ X0))
% 3.24/1.25 | ~ (likes @ X0 @ X1 @ X2)
% 3.24/1.25 | (very_much_likes @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (a3 @ X3 @ X2)
% 3.24/1.25 | (a1 @ X2 @ (sk__6 @ X2 @ X1 @ X0)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl79])).
% 3.24/1.25 thf(zip_derived_cl386, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 ( (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | ~ (a3 @ X1 @ (sk__4 @ X0))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | ~ (likes @ jan @ cola @ (sk__4 @ X0)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl377, zip_derived_cl159])).
% 3.24/1.25 thf(zip_derived_cl26, plain,
% 3.24/1.25 (![X0 : $i]: (likes @ jan @ cola @ (sk__4 @ X0))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 3.24/1.25 thf(zip_derived_cl401, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 ( (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | ~ (a3 @ X1 @ (sk__4 @ X0))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0)))),
% 3.24/1.25 inference('demod', [status(thm)], [zip_derived_cl386, zip_derived_cl26])).
% 3.24/1.25 thf(zip_derived_cl402, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 (~ (a3 @ X1 @ (sk__4 @ X0))
% 3.24/1.25 | (a1 @ (sk__4 @ X0) @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan)))),
% 3.24/1.25 inference('simplify', [status(thm)], [zip_derived_cl401])).
% 3.24/1.25 thf(zip_derived_cl0, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]: ( (likes @ jan @ cola @ X0) | ~ (a1 @ X1 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_13])).
% 3.24/1.25 thf(zip_derived_cl517, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 ( (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | ~ (a3 @ X1 @ (sk__4 @ X0)))),
% 3.24/1.25 inference('clc', [status(thm)], [zip_derived_cl402, zip_derived_cl0])).
% 3.24/1.25 thf(zip_derived_cl518, plain,
% 3.24/1.25 (![X0 : $i]:
% 3.24/1.25 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl517])).
% 3.24/1.25 thf(zip_derived_cl15, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i, X2 : mu, X3 : mu]:
% 3.24/1.25 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3) | (a2 @ X1 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_6])).
% 3.24/1.25 thf(zip_derived_cl16, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i, X2 : mu, X3 : mu]:
% 3.24/1.25 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3) | ~ (likes @ X3 @ X2 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_7])).
% 3.24/1.25 thf(zip_derived_cl18, plain,
% 3.24/1.25 (![X0 : $i, X1 : mu, X2 : mu, X3 : $i]:
% 3.24/1.25 (~ (zip_tseitin_1 @ (sk__6 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (zip_tseitin_0 @ (sk__7 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (likes @ X2 @ X1 @ X0)
% 3.24/1.25 | (very_much_likes @ X2 @ X1 @ X0)
% 3.24/1.25 | ~ (a3 @ X3 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.24/1.25 thf(zip_derived_cl80, plain,
% 3.24/1.25 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 3.24/1.25 (~ (likes @ X0 @ X1 @ (sk__6 @ X2 @ X1 @ X0))
% 3.24/1.25 | ~ (a3 @ X3 @ X2)
% 3.24/1.25 | (very_much_likes @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (likes @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (zip_tseitin_0 @ (sk__7 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl18])).
% 3.24/1.25 thf(zip_derived_cl184, plain,
% 3.24/1.25 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 3.24/1.25 ( (a2 @ X2 @ (sk__7 @ X2 @ X1 @ X0))
% 3.24/1.25 | ~ (likes @ X0 @ X1 @ X2)
% 3.24/1.25 | (very_much_likes @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (a3 @ X3 @ X2)
% 3.24/1.25 | ~ (likes @ X0 @ X1 @ (sk__6 @ X2 @ X1 @ X0)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl80])).
% 3.24/1.25 thf(zip_derived_cl524, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | ~ (a3 @ X1 @ (sk__4 @ X0))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | ~ (likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (a2 @ (sk__4 @ X0) @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl518, zip_derived_cl184])).
% 3.24/1.25 thf(zip_derived_cl26, plain,
% 3.24/1.25 (![X0 : $i]: (likes @ jan @ cola @ (sk__4 @ X0))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 3.24/1.25 thf(zip_derived_cl540, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | ~ (a3 @ X1 @ (sk__4 @ X0))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (a2 @ (sk__4 @ X0) @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 3.24/1.25 inference('demod', [status(thm)], [zip_derived_cl524, zip_derived_cl26])).
% 3.24/1.25 thf(zip_derived_cl541, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 ( (a2 @ (sk__4 @ X0) @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | ~ (a3 @ X1 @ (sk__4 @ X0))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0)))),
% 3.24/1.25 inference('simplify', [status(thm)], [zip_derived_cl540])).
% 3.24/1.25 thf(zip_derived_cl558, plain,
% 3.24/1.25 (![X0 : $i]:
% 3.24/1.25 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (a2 @ (sk__4 @ X0) @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl541])).
% 3.24/1.25 thf(zip_derived_cl558, plain,
% 3.24/1.25 (![X0 : $i]:
% 3.24/1.25 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (a2 @ (sk__4 @ X0) @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl541])).
% 3.24/1.25 thf(zip_derived_cl4, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]: ( (likes @ jan @ pepsi @ X0) | ~ (a2 @ X1 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.24/1.25 thf(zip_derived_cl585, plain,
% 3.24/1.25 (![X0 : $i]:
% 3.24/1.25 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (likes @ jan @ pepsi @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl558, zip_derived_cl4])).
% 3.24/1.25 thf(zip_derived_cl7, plain,
% 3.24/1.25 (![X0 : mu, X1 : $i, X2 : $i]:
% 3.24/1.25 (~ (likes @ X0 @ pepsi @ X1)
% 3.24/1.25 | (likes @ X0 @ cola @ X1)
% 3.24/1.25 | ~ (a2 @ X2 @ X1))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_12])).
% 3.24/1.25 thf(zip_derived_cl601, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | ~ (a2 @ X1 @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (likes @ jan @ cola @ (sk__7 @ (sk__4 @ X0) @ cola @ jan)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl585, zip_derived_cl7])).
% 3.24/1.25 thf(zip_derived_cl625, plain,
% 3.24/1.25 (![X0 : $i]:
% 3.24/1.25 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (likes @ jan @ cola @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl558, zip_derived_cl601])).
% 3.24/1.25 thf(zip_derived_cl627, plain,
% 3.24/1.25 (![X0 : $i]:
% 3.24/1.25 ( (likes @ jan @ cola @ (sk__7 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0)))),
% 3.24/1.25 inference('simplify', [status(thm)], [zip_derived_cl625])).
% 3.24/1.25 thf(zip_derived_cl14, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i, X2 : mu, X3 : mu]:
% 3.24/1.25 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3) | ~ (likes @ X3 @ X2 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_6])).
% 3.24/1.25 thf(zip_derived_cl80, plain,
% 3.24/1.25 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 3.24/1.25 (~ (likes @ X0 @ X1 @ (sk__6 @ X2 @ X1 @ X0))
% 3.24/1.25 | ~ (a3 @ X3 @ X2)
% 3.24/1.25 | (very_much_likes @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (likes @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (zip_tseitin_0 @ (sk__7 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl18])).
% 3.24/1.25 thf(zip_derived_cl185, plain,
% 3.24/1.25 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 3.24/1.25 (~ (likes @ X0 @ X1 @ (sk__7 @ X2 @ X1 @ X0))
% 3.24/1.25 | ~ (likes @ X0 @ X1 @ X2)
% 3.24/1.25 | (very_much_likes @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (a3 @ X3 @ X2)
% 3.24/1.25 | ~ (likes @ X0 @ X1 @ (sk__6 @ X2 @ X1 @ X0)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl80])).
% 3.24/1.25 thf(zip_derived_cl631, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | ~ (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | ~ (a3 @ X1 @ (sk__4 @ X0))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | ~ (likes @ jan @ cola @ (sk__4 @ X0)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl627, zip_derived_cl185])).
% 3.24/1.25 thf(zip_derived_cl26, plain,
% 3.24/1.25 (![X0 : $i]: (likes @ jan @ cola @ (sk__4 @ X0))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 3.24/1.25 thf(zip_derived_cl645, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | ~ (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | ~ (a3 @ X1 @ (sk__4 @ X0))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0)))),
% 3.24/1.25 inference('demod', [status(thm)], [zip_derived_cl631, zip_derived_cl26])).
% 3.24/1.25 thf(zip_derived_cl646, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 (~ (a3 @ X1 @ (sk__4 @ X0))
% 3.24/1.25 | ~ (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan))
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__4 @ X0)))),
% 3.24/1.25 inference('simplify', [status(thm)], [zip_derived_cl645])).
% 3.24/1.25 thf(zip_derived_cl518, plain,
% 3.24/1.25 (![X0 : $i]:
% 3.24/1.25 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | (likes @ jan @ cola @ (sk__6 @ (sk__4 @ X0) @ cola @ jan)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl517])).
% 3.24/1.25 thf(zip_derived_cl659, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 ( (very_much_likes @ jan @ cola @ (sk__4 @ X0))
% 3.24/1.25 | ~ (a3 @ X1 @ (sk__4 @ X0)))),
% 3.24/1.25 inference('clc', [status(thm)], [zip_derived_cl646, zip_derived_cl518])).
% 3.24/1.25 thf(zip_derived_cl660, plain,
% 3.24/1.25 (![X0 : $i]: (very_much_likes @ jan @ cola @ (sk__4 @ X0))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl659])).
% 3.24/1.25 thf(axiom_user_communication_2, axiom,
% 3.24/1.25 (mvalid @
% 3.24/1.25 ( mforall_ind @
% 3.24/1.25 ( ^[X:mu]:
% 3.24/1.25 ( mforall_ind @
% 3.24/1.25 ( ^[Y:mu]:
% 3.24/1.25 ( mimplies @
% 3.24/1.25 ( mdia @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( likes @ X @ Y ) ) ) ) ) ))).
% 3.24/1.25 thf(zf_stmt_14, axiom,
% 3.24/1.25 (![X4:$i,X6:mu,X8:mu]:
% 3.24/1.25 ( ( ![X10:$i]:
% 3.24/1.25 ( ( ~( very_much_likes @ X6 @ X8 @ X10 ) ) | ( ~( a3 @ X4 @ X10 ) ) ) ) |
% 3.24/1.25 ( likes @ X6 @ X8 @ X4 ) ))).
% 3.24/1.25 thf(zip_derived_cl21, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i, X2 : mu, X3 : mu]:
% 3.24/1.25 (~ (a3 @ X0 @ X1)
% 3.24/1.25 | ~ (very_much_likes @ X2 @ X3 @ X1)
% 3.24/1.25 | (likes @ X2 @ X3 @ X0))),
% 3.24/1.25 inference('cnf', [status(esa)], [zf_stmt_14])).
% 3.24/1.25 thf(zip_derived_cl661, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 ( (likes @ jan @ cola @ X1) | ~ (a3 @ X1 @ (sk__4 @ X0)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl660, zip_derived_cl21])).
% 3.24/1.25 thf(zip_derived_cl665, plain, (![X0 : $i]: (likes @ jan @ cola @ X0)),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl661])).
% 3.24/1.25 thf(zip_derived_cl185, plain,
% 3.24/1.25 (![X0 : mu, X1 : mu, X2 : $i, X3 : $i]:
% 3.24/1.25 (~ (likes @ X0 @ X1 @ (sk__7 @ X2 @ X1 @ X0))
% 3.24/1.25 | ~ (likes @ X0 @ X1 @ X2)
% 3.24/1.25 | (very_much_likes @ X0 @ X1 @ X2)
% 3.24/1.25 | ~ (a3 @ X3 @ X2)
% 3.24/1.25 | ~ (likes @ X0 @ X1 @ (sk__6 @ X2 @ X1 @ X0)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl80])).
% 3.24/1.25 thf(zip_derived_cl669, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 (~ (likes @ jan @ cola @ (sk__6 @ X0 @ cola @ jan))
% 3.24/1.25 | ~ (a3 @ X1 @ X0)
% 3.24/1.25 | (very_much_likes @ jan @ cola @ X0)
% 3.24/1.25 | ~ (likes @ jan @ cola @ X0))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl665, zip_derived_cl185])).
% 3.24/1.25 thf(zip_derived_cl665, plain, (![X0 : $i]: (likes @ jan @ cola @ X0)),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl661])).
% 3.24/1.25 thf(zip_derived_cl665, plain, (![X0 : $i]: (likes @ jan @ cola @ X0)),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl661])).
% 3.24/1.25 thf(zip_derived_cl685, plain,
% 3.24/1.25 (![X0 : $i, X1 : $i]:
% 3.24/1.25 (~ (a3 @ X1 @ X0) | (very_much_likes @ jan @ cola @ X0))),
% 3.24/1.25 inference('demod', [status(thm)],
% 3.24/1.25 [zip_derived_cl669, zip_derived_cl665, zip_derived_cl665])).
% 3.24/1.25 thf(zip_derived_cl692, plain,
% 3.24/1.25 (![X0 : $i, X1 : mu, X2 : mu]:
% 3.24/1.25 ( (very_much_likes @ X1 @ X2 @ X0)
% 3.24/1.25 | (very_much_likes @ jan @ cola @ (sk__8 @ X2 @ X1 @ X0)))),
% 3.24/1.25 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl685])).
% 3.24/1.25 thf(zip_derived_cl714, plain,
% 3.24/1.25 (![X0 : $i]:
% 3.24/1.25 ( (very_much_likes @ jan @ cola @ X0)
% 3.24/1.25 | (very_much_likes @ jan @ cola @ X0))),
% 3.24/1.25 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl692])).
% 3.24/1.25 thf(zip_derived_cl718, plain,
% 3.24/1.25 (![X0 : $i]: (very_much_likes @ jan @ cola @ X0)),
% 3.24/1.25 inference('simplify', [status(thm)], [zip_derived_cl714])).
% 3.24/1.25 thf(zip_derived_cl724, plain, ($false),
% 3.24/1.25 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl718])).
% 3.24/1.25
% 3.24/1.25 % SZS output end Refutation
% 3.24/1.25
% 3.24/1.25
% 3.24/1.25 % Terminating...
% 3.24/1.80 % Runner terminated.
% 3.24/1.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------