0.08/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.51jHPtSBQx true 0.15/0.37 % Computer : n022.cluster.edu 0.15/0.37 % Model : x86_64 x86_64 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.37 % Memory : 8042.1875MB 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.37 % CPULimit : 960 0.15/0.37 % WCLimit : 120 0.15/0.37 % DateTime : Tue Aug 9 04:41:01 EDT 2022 0.15/0.37 % CPUTime : 0.15/0.37 % Running portfolio for 960 s 0.15/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.37 % Number of cores: 8 0.15/0.38 % Python version: Python 3.6.8 0.15/0.38 % Running in HO mode 0.55/0.67 % Total configuration time : 828 0.55/0.67 % Estimated wc time : 1656 0.55/0.67 % Estimated cpu time (8 cpus) : 207.0 0.60/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.60/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.60/0.79 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.60/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.60/0.80 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.60/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.60/0.84 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.60/0.84 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 46.06/7.06 % Solved by lams/20_acsne_simpl.sh. 46.06/7.06 % running E: timeout 13 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.51jHPtSBQx/e_input586423 --cpu-limit=11 --auto -s -p 46.06/7.06 % done 710 iterations in 6.093s 46.06/7.06 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 46.06/7.06 % SZS output start Refutation 46.06/7.06 thf(a_type, type, a: $tType). 46.06/7.06 thf('#l_lift13215_type', type, '#l_lift13215': a > $o). 46.06/7.06 thf('#sk1_type', type, '#sk1': a > $o). 46.06/7.06 thf('#sk23_type', type, '#sk23': (a > $o) > a > $o). 46.06/7.06 thf(cE_type, type, cE: a > $o). 46.06/7.06 thf('#l_lift13219_type', type, '#l_lift13219': $o > a > $o). 46.06/7.06 thf('#l_lift13216_type', type, '#l_lift13216': ((a > $o) > $o) > a > $o). 46.06/7.06 thf('#sk60_type', type, '#sk60': (a > $o) > (a > $o) > $o). 46.06/7.06 thf('#sk27_type', type, '#sk27': ((a > $o) > $o) > a). 46.06/7.06 thf(cA_type, type, cA: (a > $o) > $o). 46.06/7.06 thf('#form50_type', type, '#form50': (a > $o) > $o). 46.06/7.06 thf('#sk11_type', type, '#sk11': ((a > $o) > $o) > a > $o). 46.06/7.06 thf('#form59_type', type, '#form59': (a > $o) > $o). 46.06/7.06 thf('#l_lift13217_type', type, '#l_lift13217': (a > $o) > a > a > $o). 46.06/7.06 thf('#sk51_type', type, '#sk51': (a > $o) > a). 46.06/7.06 thf(cDOMLEMMA4_pme, conjecture, 46.06/7.06 (( ![X:( ( a > $o ) > $o )]: 46.06/7.06 ( ( ( X @ ( ^[Xy:a]: ( $false ) ) ) & 46.06/7.06 ( ![Xx:( a > $o )]: 46.06/7.06 ( ( X @ Xx ) => 46.06/7.06 ( ![Xt:a]: 46.06/7.06 ( ( cE @ Xt ) => 46.06/7.06 ( X @ ( ^[Xz:a]: ( ( Xx @ Xz ) | ( ( Xt ) = ( Xz ) ) ) ) ) ) ) ) ) ) => 46.06/7.06 ( X @ cE ) ) ) => 46.06/7.06 ( ( ![Xx:( a > $o )]: 46.06/7.06 ( ( ( ![Xx0:a]: ( ( cE @ Xx0 ) => ( Xx @ Xx0 ) ) ) & ( cA @ Xx ) ) => 46.06/7.06 ( ?[Xe:( a > $o )]: 46.06/7.06 ( ( ![Xy:( a > $o )]: 46.06/7.06 ( ( ( cA @ Xy ) & 46.06/7.06 ( ![Xx0:a]: ( ( Xe @ Xx0 ) => ( Xy @ Xx0 ) ) ) ) => 46.06/7.06 ( ( cA @ Xy ) & 46.06/7.06 ( ![Xx0:a]: ( ( cE @ Xx0 ) => ( Xy @ Xx0 ) ) ) ) ) ) & 46.06/7.06 ( ![Xx0:a]: ( ( Xe @ Xx0 ) => ( Xx @ Xx0 ) ) ) & 46.06/7.06 ( ![X:( ( a > $o ) > $o )]: 46.06/7.06 ( ( ( ![Xx0:( a > $o )]: 46.06/7.06 ( ( X @ Xx0 ) => 46.06/7.06 ( ![Xt:a]: 46.06/7.06 ( ( Xe @ Xt ) => 46.06/7.06 ( X @ 46.06/7.06 ( ^[Xz:a]: 46.06/7.06 ( ( Xx0 @ Xz ) | ( ( Xt ) = ( Xz ) ) ) ) ) ) ) ) ) & 46.06/7.06 ( X @ ( ^[Xy:a]: ( $false ) ) ) ) => 46.06/7.06 ( X @ Xe ) ) ) ) ) ) ) & 46.06/7.06 ( ![Xx:( a > $o )]: 46.06/7.06 ( ( ( ![Xx0:a]: ( ( cE @ Xx0 ) => ( Xx @ Xx0 ) ) ) & ( cA @ Xx ) ) => 46.06/7.06 ( cA @ Xx ) ) ) ))). 46.06/7.06 thf(zf_stmt_0, negated_conjecture, 46.06/7.06 (~( ( ![X:( ( a > $o ) > $o )]: 46.06/7.06 ( ( ( X @ ( ^[Xy:a]: ( $false ) ) ) & 46.06/7.06 ( ![Xx:( a > $o )]: 46.06/7.06 ( ( X @ Xx ) => 46.06/7.06 ( ![Xt:a]: 46.06/7.06 ( ( cE @ Xt ) => 46.06/7.06 ( X @ ( ^[Xz:a]: ( ( Xx @ Xz ) | ( ( Xt ) = ( Xz ) ) ) ) ) ) ) ) ) ) => 46.06/7.06 ( X @ cE ) ) ) => 46.06/7.06 ( ( ![Xx:( a > $o )]: 46.06/7.06 ( ( ( ![Xx0:a]: ( ( cE @ Xx0 ) => ( Xx @ Xx0 ) ) ) & ( cA @ Xx ) ) => 46.06/7.06 ( ?[Xe:( a > $o )]: 46.06/7.06 ( ( ![Xy:( a > $o )]: 46.06/7.06 ( ( ( cA @ Xy ) & 46.06/7.06 ( ![Xx0:a]: ( ( Xe @ Xx0 ) => ( Xy @ Xx0 ) ) ) ) => 46.06/7.06 ( ( cA @ Xy ) & 46.06/7.06 ( ![Xx0:a]: ( ( cE @ Xx0 ) => ( Xy @ Xx0 ) ) ) ) ) ) & 46.06/7.06 ( ![Xx0:a]: ( ( Xe @ Xx0 ) => ( Xx @ Xx0 ) ) ) & 46.06/7.06 ( ![X:( ( a > $o ) > $o )]: 46.06/7.06 ( ( ( ![Xx0:( a > $o )]: 46.06/7.06 ( ( X @ Xx0 ) => 46.06/7.06 ( ![Xt:a]: 46.06/7.06 ( ( Xe @ Xt ) => 46.06/7.06 ( X @ 46.06/7.06 ( ^[Xz:a]: 46.06/7.06 ( ( Xx0 @ Xz ) | ( ( Xt ) = ( Xz ) ) ) ) ) ) ) ) ) & 46.06/7.06 ( X @ ( ^[Xy:a]: ( $false ) ) ) ) => 46.06/7.06 ( X @ Xe ) ) ) ) ) ) ) & 46.06/7.06 ( ![Xx:( a > $o )]: 46.06/7.06 ( ( ( ![Xx0:a]: ( ( cE @ Xx0 ) => ( Xx @ Xx0 ) ) ) & ( cA @ Xx ) ) => 46.06/7.06 ( cA @ Xx ) ) ) ) )), 46.06/7.06 inference('cnf.neg', [status(esa)], [cDOMLEMMA4_pme])). 46.06/7.06 thf(zip_derived_cl0, plain, 46.06/7.06 (~ (((((!!) @ (^[Y0 : (a > $o) > $o]: 46.06/7.06 (((((Y0 @ (^[Y1 : a]: ($false))) & 46.06/7.06 (((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((Y0 @ Y1) => 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((cE @ Y2) => (Y0 @ 46.06/7.06 (^[Y3 : a]: 46.06/7.06 (((Y1 @ Y3) | 46.06/7.06 (((Y2) = (Y3))))))))))))))))))) => 46.06/7.06 (Y0 @ cE)))))) => 46.06/7.06 (((((!!) @ (^[Y0 : a > $o]: 46.06/7.06 (((((((!!) @ (^[Y1 : a]: (((cE @ Y1) => (Y0 @ Y1)))))) & 46.06/7.06 (cA @ Y0))) => 46.06/7.06 (((??) @ (^[Y1 : a > $o]: 46.06/7.06 (((((!!) @ (^[Y2 : a > $o]: 46.06/7.06 (((((cA @ Y2) & 46.06/7.06 (((!!) @ (^[Y3 : a]: 46.06/7.06 (( 46.06/7.06 (Y1 @ 46.06/7.06 Y3) => 46.06/7.06 (Y2 @ Y3)))))))) => 46.06/7.06 (((cA @ Y2) & 46.06/7.06 (((!!) @ (^[Y3 : a]: 46.06/7.06 (( 46.06/7.06 (cE @ 46.06/7.06 Y3) => 46.06/7.06 (Y2 @ Y3))))))))))))) & 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((Y1 @ Y2) => (Y0 @ Y2)))))) & 46.06/7.06 (((!!) @ (^[Y2 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y3 : a > $o]: 46.06/7.06 (( 46.06/7.06 (Y2 @ 46.06/7.06 Y3) => 46.06/7.06 (( 46.06/7.06 (!!) @ ( 46.06/7.06 ^[Y4 : a]: 46.06/7.06 (( 46.06/7.06 (Y1 @ 46.06/7.06 Y4) => 46.06/7.06 (Y2 @ 46.06/7.06 ( 46.06/7.06 ^[Y5 : a]: 46.06/7.06 (( 46.06/7.06 (Y3 @ 46.06/7.06 Y5) | 46.06/7.06 (( 46.06/7.06 (Y4) = 46.06/7.06 (Y5))))))))))))))))) & 46.06/7.06 (Y2 @ 46.06/7.06 (^[Y3 : a]: ($false))))) => 46.06/7.06 (Y2 @ Y1)))))))))))))))) & 46.06/7.06 (((!!) @ (^[Y0 : a > $o]: 46.06/7.06 (((((((!!) @ (^[Y1 : a]: (((cE @ Y1) => (Y0 @ Y1)))))) & 46.06/7.06 (cA @ Y0))) => 46.06/7.06 (cA @ Y0))))))))))), 46.06/7.06 inference('cnf', [status(esa)], [zf_stmt_0])). 46.06/7.06 thf(zip_derived_cl1, plain, 46.06/7.06 (~ (((((!!) @ (^[Y0 : (a > $o) > $o]: 46.06/7.06 (((((Y0 @ (^[Y1 : a]: ($false))) & 46.06/7.06 (((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((Y0 @ Y1) => 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((cE @ Y2) => (Y0 @ 46.06/7.06 (^[Y3 : a]: 46.06/7.06 (((Y1 @ Y3) | 46.06/7.06 (((Y2) = (Y3))))))))))))))))))) => 46.06/7.06 (Y0 @ cE)))))) => 46.06/7.06 (((!!) @ (^[Y0 : a > $o]: 46.06/7.06 (((((((!!) @ (^[Y1 : a]: (((cE @ Y1) => (Y0 @ Y1)))))) & 46.06/7.06 (cA @ Y0))) => 46.06/7.06 (((??) @ (^[Y1 : a > $o]: 46.06/7.06 (((((!!) @ (^[Y2 : a > $o]: 46.06/7.06 (((((cA @ Y2) & 46.06/7.06 (((!!) @ (^[Y3 : a]: 46.06/7.06 (((Y1 @ 46.06/7.06 Y3) => 46.06/7.06 (Y2 @ Y3)))))))) => 46.06/7.06 (((cA @ Y2) & 46.06/7.06 (((!!) @ (^[Y3 : a]: 46.06/7.06 (((cE @ 46.06/7.06 Y3) => 46.06/7.06 (Y2 @ Y3))))))))))))) & 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((Y1 @ Y2) => (Y0 @ Y2)))))) & 46.06/7.06 (((!!) @ (^[Y2 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y3 : a > $o]: 46.06/7.06 (((Y2 @ 46.06/7.06 Y3) => 46.06/7.06 (( 46.06/7.06 (!!) @ ( 46.06/7.06 ^[Y4 : a]: 46.06/7.06 (( 46.06/7.06 (Y1 @ 46.06/7.06 Y4) => 46.06/7.06 (Y2 @ 46.06/7.06 ( 46.06/7.06 ^[Y5 : a]: 46.06/7.06 (( 46.06/7.06 (Y3 @ 46.06/7.06 Y5) | 46.06/7.06 (( 46.06/7.06 (Y4) = 46.06/7.06 (Y5))))))))))))))))) & 46.06/7.06 (Y2 @ 46.06/7.06 (^[Y3 : a]: ($false))))) => 46.06/7.06 (Y2 @ Y1))))))))))))))))))), 46.06/7.06 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl0])). 46.06/7.06 thf(zip_derived_cl3, plain, 46.06/7.06 (~ (((!!) @ (^[Y0 : a > $o]: 46.06/7.06 (((((((!!) @ (^[Y1 : a]: (((cE @ Y1) => (Y0 @ Y1)))))) & 46.06/7.06 (cA @ Y0))) => 46.06/7.06 (((??) @ (^[Y1 : a > $o]: 46.06/7.06 (((((!!) @ (^[Y2 : a > $o]: 46.06/7.06 (((((cA @ Y2) & 46.06/7.06 (((!!) @ (^[Y3 : a]: 46.06/7.06 (((Y1 @ Y3) => 46.06/7.06 (Y2 @ Y3)))))))) => 46.06/7.06 (((cA @ Y2) & 46.06/7.06 (((!!) @ (^[Y3 : a]: 46.06/7.06 (((cE @ Y3) => 46.06/7.06 (Y2 @ Y3))))))))))))) & 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((Y1 @ Y2) => (Y0 @ Y2)))))) & 46.06/7.06 (((!!) @ (^[Y2 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y3 : a > $o]: 46.06/7.06 (((Y2 @ Y3) => 46.06/7.06 (((!!) @ ( 46.06/7.06 ^[Y4 : a]: 46.06/7.06 (( 46.06/7.06 (Y1 @ 46.06/7.06 Y4) => 46.06/7.06 (Y2 @ 46.06/7.06 ( 46.06/7.06 ^[Y5 : a]: 46.06/7.06 (( 46.06/7.06 (Y3 @ 46.06/7.06 Y5) | 46.06/7.06 (( 46.06/7.06 (Y4) = 46.06/7.06 (Y5))))))))))))))))) & 46.06/7.06 (Y2 @ 46.06/7.06 (^[Y3 : a]: ($false))))) => 46.06/7.06 (Y2 @ Y1))))))))))))))))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 46.06/7.06 thf(zip_derived_cl5, plain, 46.06/7.06 (~ (((((((!!) @ (^[Y0 : a]: (((cE @ Y0) => ('#sk1' @ Y0)))))) & (cA @ 46.06/7.06 '#sk1'))) => 46.06/7.06 (((??) @ (^[Y0 : a > $o]: 46.06/7.06 (((((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((((cA @ Y1) & 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((Y0 @ Y2) => (Y1 @ Y2)))))))) => 46.06/7.06 (((cA @ Y1) & 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((cE @ Y2) => (Y1 @ Y2))))))))))))) & 46.06/7.06 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1)))))) & 46.06/7.06 (((!!) @ (^[Y1 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y2 : a > $o]: 46.06/7.06 (((Y1 @ Y2) => 46.06/7.06 (((!!) @ (^[Y3 : a]: 46.06/7.06 (((Y0 @ 46.06/7.06 Y3) => 46.06/7.06 (Y1 @ 46.06/7.06 (^[Y4 : a]: 46.06/7.06 (( 46.06/7.06 (Y2 @ 46.06/7.06 Y4) | 46.06/7.06 (( 46.06/7.06 (Y3) = 46.06/7.06 (Y4))))))))))))))))) & 46.06/7.06 (Y1 @ (^[Y2 : a]: ($false))))) => 46.06/7.06 (Y1 @ Y0)))))))))))))), 46.06/7.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 46.06/7.06 thf(zip_derived_cl8, plain, 46.06/7.06 (~ (((??) @ (^[Y0 : a > $o]: 46.06/7.06 (((((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((((cA @ Y1) & 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((Y0 @ Y2) => (Y1 @ Y2)))))))) => 46.06/7.06 (((cA @ Y1) & 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((cE @ Y2) => (Y1 @ Y2))))))))))))) & 46.06/7.06 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1)))))) & 46.06/7.06 (((!!) @ (^[Y1 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y2 : a > $o]: 46.06/7.06 (((Y1 @ Y2) => 46.06/7.06 (((!!) @ (^[Y3 : a]: 46.06/7.06 (((Y0 @ Y3) => 46.06/7.06 (Y1 @ 46.06/7.06 (^[Y4 : a]: 46.06/7.06 ( 46.06/7.06 ( 46.06/7.06 (Y2 @ 46.06/7.06 Y4) | 46.06/7.06 (( 46.06/7.06 (Y3) = 46.06/7.06 (Y4))))))))))))))))) & 46.06/7.06 (Y1 @ (^[Y2 : a]: ($false))))) => 46.06/7.06 (Y1 @ Y0)))))))))))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 46.06/7.06 thf(zip_derived_cl12, plain, 46.06/7.06 (![X2 : a > $o]: 46.06/7.06 ~ (((((!!) @ (^[Y0 : a > $o]: 46.06/7.06 (((((cA @ Y0) & 46.06/7.06 (((!!) @ (^[Y1 : a]: (((X2 @ Y1) => (Y0 @ Y1)))))))) => 46.06/7.06 (((cA @ Y0) & 46.06/7.06 (((!!) @ (^[Y1 : a]: (((cE @ Y1) => (Y0 @ Y1))))))))))))) & 46.06/7.06 (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => ('#sk1' @ Y0)))))) & 46.06/7.06 (((!!) @ (^[Y0 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((Y0 @ Y1) => 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((X2 @ Y2) => (Y0 @ 46.06/7.06 (^[Y3 : a]: 46.06/7.06 (((Y1 @ Y3) | 46.06/7.06 (((Y2) = (Y3))))))))))))))))) & 46.06/7.06 (Y0 @ (^[Y1 : a]: ($false))))) => 46.06/7.06 (Y0 @ X2))))))))), 46.06/7.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 46.06/7.06 thf(zip_derived_cl17, plain, 46.06/7.06 (![X2 : a > $o]: 46.06/7.06 (~ (((!!) @ (^[Y0 : a > $o]: 46.06/7.06 (((((cA @ Y0) & 46.06/7.06 (((!!) @ (^[Y1 : a]: (((X2 @ Y1) => (Y0 @ Y1)))))))) => 46.06/7.06 (((cA @ Y0) & 46.06/7.06 (((!!) @ (^[Y1 : a]: (((cE @ Y1) => (Y0 @ Y1))))))))))))) 46.06/7.06 | ~ (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => ('#sk1' @ Y0)))))) 46.06/7.06 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((Y0 @ Y1) => 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((X2 @ Y2) => (Y0 @ 46.06/7.06 (^[Y3 : a]: 46.06/7.06 (((Y1 @ Y3) | 46.06/7.06 (((Y2) = (Y3))))))))))))))))) & 46.06/7.06 (Y0 @ (^[Y1 : a]: ($false))))) => 46.06/7.06 (Y0 @ X2)))))))), 46.06/7.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl12])). 46.06/7.06 thf(zip_derived_cl22, plain, 46.06/7.06 (![X2 : a > $o]: 46.06/7.06 (~ (((((cA @ ('#sk23' @ X2)) & 46.06/7.06 (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => ('#sk23' @ X2 @ Y0)))))))) => 46.06/7.06 (((cA @ ('#sk23' @ X2)) & 46.06/7.06 (((!!) @ (^[Y0 : a]: (((cE @ Y0) => ('#sk23' @ X2 @ Y0)))))))))) 46.06/7.06 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((Y0 @ Y1) => 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((X2 @ Y2) => (Y0 @ 46.06/7.06 (^[Y3 : a]: 46.06/7.06 (((Y1 @ Y3) | 46.06/7.06 (((Y2) = (Y3))))))))))))))))) & 46.06/7.06 (Y0 @ (^[Y1 : a]: ($false))))) => 46.06/7.06 (Y0 @ X2)))))) 46.06/7.06 | ~ (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => ('#sk1' @ Y0)))))))), 46.06/7.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl17])). 46.06/7.06 thf(zip_derived_cl24, plain, 46.06/7.06 (![X2 : a > $o]: 46.06/7.06 ( (((cA @ ('#sk23' @ X2)) & 46.06/7.06 (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => ('#sk23' @ X2 @ Y0)))))))) 46.06/7.06 | ~ (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => ('#sk1' @ Y0)))))) 46.06/7.06 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((Y0 @ Y1) => 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((X2 @ Y2) => (Y0 @ 46.06/7.06 (^[Y3 : a]: 46.06/7.06 (((Y1 @ Y3) | 46.06/7.06 (((Y2) = (Y3))))))))))))))))) & 46.06/7.06 (Y0 @ (^[Y1 : a]: ($false))))) => 46.06/7.06 (Y0 @ X2)))))))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 46.06/7.06 thf(zip_derived_cl28, plain, 46.06/7.06 (![X2 : a > $o]: 46.06/7.06 ( (cA @ ('#sk23' @ X2)) 46.06/7.06 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((Y0 @ Y1) => 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((X2 @ Y2) => (Y0 @ 46.06/7.06 (^[Y3 : a]: 46.06/7.06 (((Y1 @ Y3) | 46.06/7.06 (((Y2) = (Y3))))))))))))))))) & 46.06/7.06 (Y0 @ (^[Y1 : a]: ($false))))) => 46.06/7.06 (Y0 @ X2)))))) 46.06/7.06 | ~ (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => ('#sk1' @ Y0)))))))), 46.06/7.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl24])). 46.06/7.06 thf(zip_derived_cl33, plain, 46.06/7.06 (![X2 : a > $o]: 46.06/7.06 ( ('#form59' @ X2) 46.06/7.06 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((Y0 @ Y1) => 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((X2 @ Y2) => (Y0 @ 46.06/7.06 (^[Y3 : a]: 46.06/7.06 (((Y1 @ Y3) | 46.06/7.06 (((Y2) = (Y3))))))))))))))))) & 46.06/7.06 (Y0 @ (^[Y1 : a]: ($false))))) => 46.06/7.06 (Y0 @ X2)))))))), 46.06/7.06 define([status(thm)])). 46.06/7.06 thf(zip_derived_cl35, plain, 46.06/7.06 (![X2 : a > $o]: 46.06/7.06 (~ (((((((!!) @ (^[Y0 : a > $o]: 46.06/7.06 ((('#sk60' @ X2 @ Y0) => 46.06/7.06 (((!!) @ (^[Y1 : a]: 46.06/7.06 (((X2 @ Y1) => ('#sk60' @ X2 @ 46.06/7.06 (^[Y2 : a]: 46.06/7.06 (((Y0 @ Y2) | (((Y1) = (Y2))))))))))))))))) & 46.06/7.06 ('#sk60' @ X2 @ (^[Y0 : a]: ($false))))) => 46.06/7.06 ('#sk60' @ X2 @ X2))) 46.06/7.06 | ('#form59' @ X2))), 46.06/7.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl33])). 46.06/7.06 thf(zip_derived_cl42, plain, 46.06/7.06 (![X2 : a > $o]: 46.06/7.06 ( (((((!!) @ (^[Y0 : a > $o]: 46.06/7.06 ((('#sk60' @ X2 @ Y0) => 46.06/7.06 (((!!) @ (^[Y1 : a]: 46.06/7.06 (((X2 @ Y1) => ('#sk60' @ X2 @ 46.06/7.06 (^[Y2 : a]: 46.06/7.06 (((Y0 @ Y2) | (((Y1) = (Y2))))))))))))))))) & 46.06/7.06 ('#sk60' @ X2 @ (^[Y0 : a]: ($false))))) 46.06/7.06 | ('#form59' @ X2))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl35])). 46.06/7.06 thf(zip_derived_cl49, plain, 46.06/7.06 (![X2 : a > $o]: 46.06/7.06 ( (((!!) @ (^[Y0 : a > $o]: 46.06/7.06 ((('#sk60' @ X2 @ Y0) => 46.06/7.06 (((!!) @ (^[Y1 : a]: 46.06/7.06 (((X2 @ Y1) => ('#sk60' @ X2 @ 46.06/7.06 (^[Y2 : a]: 46.06/7.06 (((Y0 @ Y2) | (((Y1) = (Y2))))))))))))))))) 46.06/7.06 | ('#form59' @ X2))), 46.06/7.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl42])). 46.06/7.06 thf(zip_derived_cl54, plain, 46.06/7.06 (![X2 : a > $o, X4 : a > $o]: 46.06/7.06 ( ((('#sk60' @ X2 @ X4) => 46.06/7.06 (((!!) @ (^[Y0 : a]: 46.06/7.06 (((X2 @ Y0) => ('#sk60' @ X2 @ 46.06/7.06 (^[Y1 : a]: (((X4 @ Y1) | (((Y0) = (Y1)))))))))))))) 46.06/7.06 | ('#form59' @ X2))), 46.06/7.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl49])). 46.06/7.06 thf(zip_derived_cl61, plain, 46.06/7.06 (![X2 : a > $o, X4 : a > $o]: 46.06/7.06 (~ ('#sk60' @ X2 @ X4) 46.06/7.06 | (((!!) @ (^[Y0 : a]: 46.06/7.06 (((X2 @ Y0) => ('#sk60' @ X2 @ 46.06/7.06 (^[Y1 : a]: (((X4 @ Y1) | (((Y0) = (Y1)))))))))))) 46.06/7.06 | ('#form59' @ X2))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])). 46.06/7.06 thf(zip_derived_cl62, plain, 46.06/7.06 (![X2 : a > $o, X4 : a > $o, X6 : a]: 46.06/7.06 ( (((X2 @ X6) => ('#sk60' @ X2 @ 46.06/7.06 (^[Y0 : a]: (((X4 @ Y0) | (((X6) = (Y0))))))))) 46.06/7.06 | ('#form59' @ X2) 46.06/7.06 | ~ ('#sk60' @ X2 @ X4))), 46.06/7.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl61])). 46.06/7.06 thf(zip_derived_cl63, plain, 46.06/7.06 (![X2 : a > $o, X4 : a > $o, X6 : a]: 46.06/7.06 (~ (X2 @ X6) 46.06/7.06 | ('#sk60' @ X2 @ (^[Y0 : a]: (((X4 @ Y0) | (((X6) = (Y0))))))) 46.06/7.06 | ~ ('#sk60' @ X2 @ X4) 46.06/7.06 | ('#form59' @ X2))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])). 46.06/7.06 thf(zip_derived_cl2, plain, 46.06/7.06 ( (((!!) @ (^[Y0 : (a > $o) > $o]: 46.06/7.06 (((((Y0 @ (^[Y1 : a]: ($false))) & 46.06/7.06 (((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((Y0 @ Y1) => 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((cE @ Y2) => (Y0 @ 46.06/7.06 (^[Y3 : a]: 46.06/7.06 (((Y1 @ Y3) | 46.06/7.06 (((Y2) = (Y3))))))))))))))))))) => 46.06/7.06 (Y0 @ cE))))))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 46.06/7.06 thf(zip_derived_cl4, plain, 46.06/7.06 (![X2 : (a > $o) > $o]: 46.06/7.06 (((((X2 @ (^[Y0 : a]: ($false))) & 46.06/7.06 (((!!) @ (^[Y0 : a > $o]: 46.06/7.06 (((X2 @ Y0) => 46.06/7.06 (((!!) @ (^[Y1 : a]: 46.06/7.06 (((cE @ Y1) => (X2 @ 46.06/7.06 (^[Y2 : a]: 46.06/7.06 (((Y0 @ Y2) | (((Y1) = (Y2))))))))))))))))))) => 46.06/7.06 (X2 @ cE)))), 46.06/7.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 46.06/7.06 thf(zip_derived_cl6, plain, 46.06/7.06 (![X2 : (a > $o) > $o]: 46.06/7.06 (~ (((X2 @ (^[Y0 : a]: ($false))) & 46.06/7.06 (((!!) @ (^[Y0 : a > $o]: 46.06/7.06 (((X2 @ Y0) => 46.06/7.06 (((!!) @ (^[Y1 : a]: 46.06/7.06 (((cE @ Y1) => (X2 @ 46.06/7.06 (^[Y2 : a]: 46.06/7.06 (((Y0 @ Y2) | (((Y1) = (Y2))))))))))))))))))) 46.06/7.06 | (X2 @ cE))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 46.06/7.06 thf(zip_derived_cl9, plain, 46.06/7.06 (![X2 : (a > $o) > $o]: 46.06/7.06 (~ (X2 @ (^[Y0 : a]: ($false))) 46.06/7.06 | ~ (((!!) @ (^[Y0 : a > $o]: 46.06/7.06 (((X2 @ Y0) => 46.06/7.06 (((!!) @ (^[Y1 : a]: 46.06/7.06 (((cE @ Y1) => (X2 @ 46.06/7.06 (^[Y2 : a]: 46.06/7.06 (((Y0 @ Y2) | (((Y1) = (Y2))))))))))))))))) 46.06/7.06 | (X2 @ cE))), 46.06/7.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])). 46.06/7.06 thf(zip_derived_cl15, plain, 46.06/7.06 (![X2 : (a > $o) > $o]: 46.06/7.06 (~ (((X2 @ ('#sk11' @ X2)) => 46.06/7.06 (((!!) @ (^[Y0 : a]: 46.06/7.06 (((cE @ Y0) => (X2 @ 46.06/7.06 (^[Y1 : a]: 46.06/7.06 ((('#sk11' @ X2 @ Y1) | (((Y0) = (Y1)))))))))))))) 46.06/7.06 | (X2 @ cE) 46.06/7.06 | ~ (X2 @ (^[Y0 : a]: ($false))))), 46.06/7.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])). 46.06/7.06 thf(zip_derived_cl19, plain, 46.06/7.06 (![X2 : (a > $o) > $o]: 46.06/7.06 (~ (((!!) @ (^[Y0 : a]: 46.06/7.06 (((cE @ Y0) => (X2 @ 46.06/7.06 (^[Y1 : a]: ((('#sk11' @ X2 @ Y1) | (((Y0) = (Y1)))))))))))) 46.06/7.06 | ~ (X2 @ (^[Y0 : a]: ($false))) 46.06/7.06 | (X2 @ cE))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 46.06/7.06 thf(zip_derived_cl23, plain, 46.06/7.06 (![X2 : (a > $o) > $o]: 46.06/7.06 (~ (((cE @ ('#sk27' @ X2)) => (X2 @ 46.06/7.06 (^[Y0 : a]: ((('#sk11' @ X2 @ Y0) | ((('#sk27' @ X2) = (Y0))))))))) 46.06/7.06 | (X2 @ cE) 46.06/7.06 | ~ (X2 @ (^[Y0 : a]: ($false))))), 46.06/7.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 46.06/7.06 thf(zip_derived_cl27, plain, 46.06/7.06 (![X2 : (a > $o) > $o]: 46.06/7.06 (~ (X2 @ 46.06/7.06 (^[Y0 : a]: ((('#sk11' @ X2 @ Y0) | ((('#sk27' @ X2) = (Y0))))))) 46.06/7.06 | ~ (X2 @ (^[Y0 : a]: ($false))) 46.06/7.06 | (X2 @ cE))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 46.06/7.06 thf(zip_derived_cl6689, plain, 46.06/7.06 (![X2 : (a > $o) > $o, X3 : a]: 46.06/7.06 (('#l_lift13216' @ X2 @ X3) 46.06/7.06 = ((('#sk11' @ X2 @ X3) | ((('#sk27' @ X2) = (X3))))))), 46.06/7.06 define([status(thm)])). 46.06/7.06 thf(zip_derived_cl6693, plain, 46.06/7.06 (![X0 : (a > $o) > $o]: 46.06/7.06 (('#l_lift13217' @ ('#sk11' @ X0) @ ('#sk27' @ X0)) 46.06/7.06 = ('#l_lift13216' @ X0))), 46.06/7.06 define([status(thm)])). 46.06/7.06 thf(zip_derived_cl12, plain, 46.06/7.06 (![X2 : a > $o]: 46.06/7.06 ~ (((((!!) @ (^[Y0 : a > $o]: 46.06/7.06 (((((cA @ Y0) & 46.06/7.06 (((!!) @ (^[Y1 : a]: (((X2 @ Y1) => (Y0 @ Y1)))))))) => 46.06/7.06 (((cA @ Y0) & 46.06/7.06 (((!!) @ (^[Y1 : a]: (((cE @ Y1) => (Y0 @ Y1))))))))))))) & 46.06/7.06 (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => ('#sk1' @ Y0)))))) & 46.06/7.06 (((!!) @ (^[Y0 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((Y0 @ Y1) => 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((X2 @ Y2) => (Y0 @ 46.06/7.06 (^[Y3 : a]: 46.06/7.06 (((Y1 @ Y3) | 46.06/7.06 (((Y2) = (Y3))))))))))))))))) & 46.06/7.06 (Y0 @ (^[Y1 : a]: ($false))))) => 46.06/7.06 (Y0 @ X2))))))))), 46.06/7.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 46.06/7.06 thf(zip_derived_cl75, plain, 46.06/7.06 (~ (((((!!) @ (^[Y0 : a > $o]: 46.06/7.06 (((((cA @ Y0) & 46.06/7.06 (((!!) @ (^[Y1 : a]: (((cE @ Y1) => (Y0 @ Y1)))))))) => 46.06/7.06 (((cA @ Y0) & 46.06/7.06 (((!!) @ (^[Y1 : a]: (((cE @ Y1) => (Y0 @ Y1))))))))))))) & 46.06/7.06 (((!!) @ (^[Y0 : a]: (((cE @ Y0) => ('#sk1' @ Y0)))))) & 46.06/7.06 (((!!) @ (^[Y0 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((Y0 @ Y1) => 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((cE @ Y2) => (Y0 @ 46.06/7.06 (^[Y3 : a]: 46.06/7.06 (((Y1 @ Y3) | 46.06/7.06 (((Y2) = (Y3))))))))))))))))) & 46.06/7.06 (Y0 @ (^[Y1 : a]: ($false))))) => 46.06/7.06 (Y0 @ cE))))))))), 46.06/7.06 inference('triggered_bool_instantiation', [status(thm)], 46.06/7.06 [zip_derived_cl12])). 46.06/7.06 thf(zip_derived_cl108, plain, 46.06/7.06 (~ (((((!!) @ (^[Y0 : a]: (((cE @ Y0) => ('#sk1' @ Y0)))))) & 46.06/7.06 (((!!) @ (^[Y0 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((Y0 @ Y1) => 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((cE @ Y2) => (Y0 @ 46.06/7.06 (^[Y3 : a]: 46.06/7.06 (((Y1 @ Y3) | 46.06/7.06 (((Y2) = (Y3))))))))))))))))) & 46.06/7.06 (Y0 @ (^[Y1 : a]: ($false))))) => 46.06/7.06 (Y0 @ cE))))))))), 46.06/7.06 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl75])). 46.06/7.06 thf(zip_derived_cl109, plain, 46.06/7.06 ((~ (((!!) @ (^[Y0 : a]: (((cE @ Y0) => ('#sk1' @ Y0)))))) 46.06/7.06 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((Y0 @ Y1) => 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((cE @ Y2) => (Y0 @ 46.06/7.06 (^[Y3 : a]: 46.06/7.06 (((Y1 @ Y3) | 46.06/7.06 (((Y2) = (Y3))))))))))))))))) & 46.06/7.06 (Y0 @ (^[Y1 : a]: ($false))))) => 46.06/7.06 (Y0 @ cE)))))))), 46.06/7.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl108])). 46.06/7.06 thf(zip_derived_cl25, plain, 46.06/7.06 (![X2 : a > $o]: 46.06/7.06 (~ (((cA @ ('#sk23' @ X2)) & 46.06/7.06 (((!!) @ (^[Y0 : a]: (((cE @ Y0) => ('#sk23' @ X2 @ Y0)))))))) 46.06/7.06 | ~ (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => ('#sk1' @ Y0)))))) 46.06/7.06 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((Y0 @ Y1) => 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((X2 @ Y2) => (Y0 @ 46.06/7.06 (^[Y3 : a]: 46.06/7.06 (((Y1 @ Y3) | 46.06/7.06 (((Y2) = (Y3))))))))))))))))) & 46.06/7.06 (Y0 @ (^[Y1 : a]: ($false))))) => 46.06/7.06 (Y0 @ X2)))))))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 46.06/7.06 thf(zip_derived_cl30, plain, 46.06/7.06 (![X2 : a > $o]: 46.06/7.06 ( ('#form50' @ X2) 46.06/7.06 | ~ (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => ('#sk1' @ Y0)))))))), 46.06/7.06 define([status(thm)])). 46.06/7.06 thf(zip_derived_cl110, plain, 46.06/7.06 ((~ ('#form50' @ cE) 46.06/7.06 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 46.06/7.06 (((((((!!) @ (^[Y1 : a > $o]: 46.06/7.06 (((Y0 @ Y1) => 46.06/7.06 (((!!) @ (^[Y2 : a]: 46.06/7.06 (((cE @ Y2) => (Y0 @ 46.06/7.06 (^[Y3 : a]: 46.06/7.06 (((Y1 @ Y3) | 46.06/7.06 (((Y2) = (Y3))))))))))))))))) & 46.06/7.06 (Y0 @ (^[Y1 : a]: ($false))))) => 46.06/7.06 (Y0 @ cE)))))))), 46.06/7.06 inference('renaming', [status(thm)], 46.06/7.06 [zip_derived_cl109, zip_derived_cl30])). 46.06/7.06 thf(zip_derived_cl111, plain, 46.06/7.06 ((~ (((((((!!) @ (^[Y0 : a > $o]: 46.06/7.06 ((('#sk60' @ cE @ Y0) => 46.06/7.06 (((!!) @ (^[Y1 : a]: 46.06/7.06 (((cE @ Y1) => ('#sk60' @ cE @ 46.06/7.06 (^[Y2 : a]: 46.06/7.06 (((Y0 @ Y2) | (((Y1) = (Y2))))))))))))))))) & 46.06/7.06 ('#sk60' @ cE @ (^[Y0 : a]: ($false))))) => 46.06/7.06 ('#sk60' @ cE @ cE))) 46.06/7.06 | ~ ('#form50' @ cE))), 46.06/7.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl110])). 46.06/7.06 thf(zip_derived_cl113, plain, ((~ ('#sk60' @ cE @ cE) | ~ ('#form50' @ cE))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl111])). 46.06/7.06 thf(zip_derived_cl27, plain, 46.06/7.06 (![X2 : (a > $o) > $o]: 46.06/7.06 (~ (X2 @ 46.06/7.06 (^[Y0 : a]: ((('#sk11' @ X2 @ Y0) | ((('#sk27' @ X2) = (Y0))))))) 46.06/7.06 | ~ (X2 @ (^[Y0 : a]: ($false))) 46.06/7.06 | (X2 @ cE))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 46.06/7.06 thf(zip_derived_cl18, plain, 46.06/7.06 (![X2 : (a > $o) > $o]: 46.06/7.06 ( (X2 @ ('#sk11' @ X2)) | ~ (X2 @ (^[Y0 : a]: ($false))) | (X2 @ cE))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 46.06/7.06 thf(zip_derived_cl6686, plain, (![X3 : a]: ~ ('#l_lift13215' @ X3)), 46.06/7.06 define([status(thm)])). 46.06/7.06 thf(zip_derived_cl6689, plain, 46.06/7.06 (![X2 : (a > $o) > $o, X3 : a]: 46.06/7.06 (('#l_lift13216' @ X2 @ X3) 46.06/7.06 = ((('#sk11' @ X2 @ X3) | ((('#sk27' @ X2) = (X3))))))), 46.06/7.06 define([status(thm)])). 46.06/7.06 thf(zip_derived_cl6690, plain, 46.06/7.06 (![X2 : (a > $o) > $o]: 46.06/7.06 (~ (X2 @ ('#l_lift13216' @ X2)) | ~ (X2 @ '#l_lift13215') | (X2 @ cE))), 46.06/7.06 inference('lambda_lifting', [status(thm)], 46.06/7.06 [zip_derived_cl27, zip_derived_cl6686, zip_derived_cl6689])). 46.06/7.06 thf(zip_derived_cl26, plain, 46.06/7.06 (![X2 : (a > $o) > $o]: 46.06/7.06 ( (cE @ ('#sk27' @ X2)) | ~ (X2 @ (^[Y0 : a]: ($false))) | (X2 @ cE))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 46.06/7.06 thf(zip_derived_cl6686, plain, (![X3 : a]: ~ ('#l_lift13215' @ X3)), 46.06/7.06 define([status(thm)])). 46.06/7.06 thf(zip_derived_cl6688, plain, 46.06/7.06 (![X2 : (a > $o) > $o]: 46.06/7.06 ( (cE @ ('#sk27' @ X2)) | ~ (X2 @ '#l_lift13215') | (X2 @ cE))), 46.06/7.06 inference('lambda_lifting', [status(thm)], 46.06/7.06 [zip_derived_cl26, zip_derived_cl6686])). 46.06/7.06 thf(zip_derived_cl30, plain, 46.06/7.06 (![X2 : a > $o]: 46.06/7.06 ( ('#form50' @ X2) 46.06/7.06 | ~ (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => ('#sk1' @ Y0)))))))), 46.06/7.06 define([status(thm)])). 46.06/7.06 thf(zip_derived_cl31, plain, 46.06/7.06 (![X2 : a > $o]: 46.06/7.06 (~ (((X2 @ ('#sk51' @ X2)) => ('#sk1' @ ('#sk51' @ X2)))) 46.06/7.06 | ('#form50' @ X2))), 46.06/7.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl30])). 46.06/7.06 thf(zip_derived_cl39, plain, 46.06/7.06 (![X2 : a > $o]: ( (X2 @ ('#sk51' @ X2)) | ('#form50' @ X2))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl31])). 46.06/7.06 thf(zip_derived_cl18, plain, 46.06/7.06 (![X2 : (a > $o) > $o]: 46.06/7.06 ( (X2 @ ('#sk11' @ X2)) | ~ (X2 @ (^[Y0 : a]: ($false))) | (X2 @ cE))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 46.06/7.06 thf(zip_derived_cl329, plain, 46.06/7.06 (![X0 : $o, X1 : (a > $o) > a, X2 : a > a > $o]: 46.06/7.06 ( ('#form50' @ 46.06/7.06 (^[Y0 : a]: ((^[Y1 : a > $o,Y2 : a]: (X0)) @ (X2 @ Y0) @ Y0))) 46.06/7.06 | ((^[Y0 : a > $o]: ((^[Y1 : a > $o,Y2 : a]: (X0)) @ Y0 @ (X1 @ Y0))) @ 46.06/7.06 cE) 46.06/7.06 | ((^[Y0 : a > $o]: ((^[Y1 : a > $o,Y2 : a]: (X0)) @ Y0 @ (X1 @ Y0))) @ 46.06/7.06 ('#sk11' @ 46.06/7.06 (^[Y0 : a > $o]: 46.06/7.06 ((^[Y1 : a > $o,Y2 : a]: (X0)) @ Y0 @ (X1 @ Y0))))))), 46.06/7.06 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl18])). 46.06/7.06 thf(zip_derived_cl341, plain, 46.06/7.06 (![X0 : $o]: ( ('#form50' @ (^[Y0 : a]: (X0))) | (X0) | (X0))), 46.06/7.06 inference('ho_norm', [status(thm)], [zip_derived_cl329])). 46.06/7.06 thf(zip_derived_cl342, plain, 46.06/7.06 (![X0 : $o]: ( (X0) | ('#form50' @ (^[Y0 : a]: (X0))))), 46.06/7.06 inference('simplify', [status(thm)], [zip_derived_cl341])). 46.06/7.06 thf(zip_derived_cl6686, plain, (![X3 : a]: ~ ('#l_lift13215' @ X3)), 46.06/7.06 define([status(thm)])). 46.06/7.06 thf(zip_derived_cl6708, plain, 46.06/7.06 ((('#l_lift13219' @ ($false)) = ('#l_lift13215'))), define([status(thm)])). 46.06/7.06 thf(zip_derived_cl112, plain, 46.06/7.06 (( (((((!!) @ (^[Y0 : a > $o]: 46.06/7.06 ((('#sk60' @ cE @ Y0) => 46.06/7.06 (((!!) @ (^[Y1 : a]: 46.06/7.06 (((cE @ Y1) => ('#sk60' @ cE @ 46.06/7.06 (^[Y2 : a]: 46.06/7.06 (((Y0 @ Y2) | (((Y1) = (Y2))))))))))))))))) & 46.06/7.06 ('#sk60' @ cE @ (^[Y0 : a]: ($false))))) 46.06/7.06 | ~ ('#form50' @ cE))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl111])). 46.06/7.06 thf(zip_derived_cl115, plain, 46.06/7.06 (( ('#sk60' @ cE @ (^[Y0 : a]: ($false))) | ~ ('#form50' @ cE))), 46.06/7.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl112])). 46.06/7.06 thf(zip_derived_cl6686, plain, (![X3 : a]: ~ ('#l_lift13215' @ X3)), 46.06/7.06 define([status(thm)])). 46.06/7.06 thf(zip_derived_cl6695, plain, 46.06/7.06 (( ('#sk60' @ cE @ '#l_lift13215') | ~ ('#form50' @ cE))), 46.06/7.06 inference('lambda_lifting', [status(thm)], 46.06/7.06 [zip_derived_cl115, zip_derived_cl6686])). 46.06/7.06 thf(zip_derived_cl18, plain, 46.06/7.06 (![X2 : (a > $o) > $o]: 46.06/7.06 ( (X2 @ ('#sk11' @ X2)) | ~ (X2 @ (^[Y0 : a]: ($false))) | (X2 @ cE))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 46.06/7.06 thf(zip_derived_cl6686, plain, (![X3 : a]: ~ ('#l_lift13215' @ X3)), 46.06/7.06 define([status(thm)])). 46.06/7.06 thf(zip_derived_cl6687, plain, 46.06/7.06 (![X2 : (a > $o) > $o]: 46.06/7.06 ( (X2 @ ('#sk11' @ X2)) | ~ (X2 @ '#l_lift13215') | (X2 @ cE))), 46.06/7.06 inference('lambda_lifting', [status(thm)], 46.06/7.06 [zip_derived_cl18, zip_derived_cl6686])). 46.06/7.06 thf(zip_derived_cl39, plain, 46.06/7.06 (![X2 : a > $o]: ( (X2 @ ('#sk51' @ X2)) | ('#form50' @ X2))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl31])). 46.06/7.06 thf(zip_derived_cl114, plain, 46.06/7.06 (( (((!!) @ (^[Y0 : a > $o]: 46.06/7.06 ((('#sk60' @ cE @ Y0) => 46.06/7.06 (((!!) @ (^[Y1 : a]: 46.06/7.06 (((cE @ Y1) => ('#sk60' @ cE @ 46.06/7.06 (^[Y2 : a]: 46.06/7.06 (((Y0 @ Y2) | (((Y1) = (Y2))))))))))))))))) 46.06/7.06 | ~ ('#form50' @ cE))), 46.06/7.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl112])). 46.06/7.06 thf(zip_derived_cl116, plain, 46.06/7.06 (![X2 : a > $o]: 46.06/7.06 ( ((('#sk60' @ cE @ X2) => 46.06/7.06 (((!!) @ (^[Y0 : a]: 46.06/7.06 (((cE @ Y0) => ('#sk60' @ cE @ 46.06/7.06 (^[Y1 : a]: (((X2 @ Y1) | (((Y0) = (Y1)))))))))))))) 46.06/7.06 | ~ ('#form50' @ cE))), 46.06/7.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl114])). 46.06/7.06 thf(zip_derived_cl123, plain, 46.06/7.06 (![X2 : a > $o]: 46.06/7.06 (~ ('#sk60' @ cE @ X2) 46.06/7.06 | (((!!) @ (^[Y0 : a]: 46.06/7.06 (((cE @ Y0) => ('#sk60' @ cE @ 46.06/7.06 (^[Y1 : a]: (((X2 @ Y1) | (((Y0) = (Y1)))))))))))) 46.06/7.06 | ~ ('#form50' @ cE))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl116])). 46.06/7.06 thf(zip_derived_cl124, plain, 46.06/7.06 (![X2 : a > $o, X4 : a]: 46.06/7.06 ( (((cE @ X4) => ('#sk60' @ cE @ 46.06/7.06 (^[Y0 : a]: (((X2 @ Y0) | (((X4) = (Y0))))))))) 46.06/7.06 | ~ ('#form50' @ cE) 46.06/7.06 | ~ ('#sk60' @ cE @ X2))), 46.06/7.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl123])). 46.06/7.06 thf(zip_derived_cl125, plain, 46.06/7.06 (![X2 : a > $o, X4 : a]: 46.06/7.06 (~ (cE @ X4) 46.06/7.06 | ('#sk60' @ cE @ (^[Y0 : a]: (((X2 @ Y0) | (((X4) = (Y0))))))) 46.06/7.06 | ~ ('#sk60' @ cE @ X2) 46.06/7.06 | ~ ('#form50' @ cE))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl124])). 46.06/7.06 thf(zip_derived_cl63, plain, 46.06/7.06 (![X2 : a > $o, X4 : a > $o, X6 : a]: 46.06/7.06 (~ (X2 @ X6) 46.06/7.06 | ('#sk60' @ X2 @ (^[Y0 : a]: (((X4 @ Y0) | (((X6) = (Y0))))))) 46.06/7.06 | ~ ('#sk60' @ X2 @ X4) 46.06/7.06 | ('#form59' @ X2))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])). 46.06/7.06 thf(zip_derived_cl6692, plain, 46.06/7.06 (![X4 : a > $o, X6 : a, X7 : a]: 46.06/7.06 (('#l_lift13217' @ X4 @ X6 @ X7) = (((X4 @ X7) | (((X6) = (X7))))))), 46.06/7.06 define([status(thm)])). 46.06/7.06 thf(zip_derived_cl6696, plain, 46.06/7.06 (![X2 : a > $o, X4 : a]: 46.06/7.06 (~ (cE @ X4) 46.06/7.06 | ('#sk60' @ cE @ ('#l_lift13217' @ X2 @ X4)) 46.06/7.06 | ~ ('#sk60' @ cE @ X2) 46.06/7.06 | ~ ('#form50' @ cE))), 46.06/7.06 inference('lambda_lifting', [status(thm)], 46.06/7.06 [zip_derived_cl125, zip_derived_cl6692])). 46.06/7.06 thf(zip_derived_cl7, plain, 46.06/7.06 ( (((((!!) @ (^[Y0 : a]: (((cE @ Y0) => ('#sk1' @ Y0)))))) & (cA @ 46.06/7.06 '#sk1')))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 46.06/7.06 thf(zip_derived_cl10, plain, 46.06/7.06 ( (((!!) @ (^[Y0 : a]: (((cE @ Y0) => ('#sk1' @ Y0))))))), 46.06/7.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl7])). 46.06/7.06 thf(zip_derived_cl16, plain, (![X2 : a]: (((cE @ X2) => ('#sk1' @ X2)))), 46.06/7.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])). 46.06/7.06 thf(zip_derived_cl20, plain, (![X2 : a]: (~ (cE @ X2) | ('#sk1' @ X2))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 46.06/7.06 thf(zip_derived_cl40, plain, 46.06/7.06 (![X2 : a > $o]: (~ ('#sk1' @ ('#sk51' @ X2)) | ('#form50' @ X2))), 46.06/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl31])). 46.06/7.06 thf(zip_derived_cl6715, plain, ($false), 46.06/7.06 inference('eprover', [status(thm)], 46.06/7.06 [zip_derived_cl6693, zip_derived_cl113, zip_derived_cl6690, 46.06/7.06 zip_derived_cl6688, zip_derived_cl6708, zip_derived_cl6695, 46.06/7.06 zip_derived_cl6687, zip_derived_cl39, zip_derived_cl6696, 46.06/7.06 zip_derived_cl20, zip_derived_cl40])). 46.06/7.06 46.06/7.06 % SZS output end Refutation 46.06/7.06 46.06/7.06 46.06/7.06 % Terminating... 46.06/7.11 % Runner terminated. 46.06/7.12 % Zipperpin 1.5 exiting 46.06/7.12 EOF