0.08/0.15 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.17 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ca80JvI8Vd true 0.15/0.38 % Computer : n012.cluster.edu 0.15/0.38 % Model : x86_64 x86_64 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.38 % Memory : 8042.1875MB 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.38 % CPULimit : 1200 0.15/0.38 % WCLimit : 120 0.15/0.38 % DateTime : Tue Jul 13 11:02:46 EDT 2021 0.15/0.39 % CPUTime : 0.15/0.39 % Running portfolio for 120 s 0.15/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.15/0.39 % Number of cores: 8 0.15/0.39 % Python version: Python 3.6.8 0.15/0.39 % Running in HO mode 0.59/0.70 % Total configuration time : 828 0.59/0.70 % Estimated wc time : 983 0.59/0.70 % Estimated cpu time (8 cpus) : 122.875 0.59/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.59/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 140.20/18.65 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s 188.67/24.90 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 33s 277.73/36.42 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 18s 312.73/40.90 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 18s 312.73/40.92 % Solved by lams/35_full_unif.sh. 312.73/40.92 % done 305 iterations in 15.955s 312.73/40.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 312.73/40.92 % SZS output start Refutation 312.73/40.92 thf('#sk1468_type', type, '#sk1468': $i). 312.73/40.92 thf('#sk504_type', type, '#sk504': (($i > $i) > $i > $o) > $i). 312.73/40.92 thf('#sk133_type', type, '#sk133': (($i > $i) > $i > $o) > $i > $i). 312.73/40.92 thf('#sk1_type', type, '#sk1': $i > $o). 312.73/40.92 thf('#sk230_type', type, '#sk230': (($i > $i) > $i > $o) > $i > $i). 312.73/40.92 thf(cTHM112D, conjecture, 312.73/40.92 (![P:( $i > $o )]: 312.73/40.92 ( ?[Xm_9:( ( $i > $i ) > $i > $o ),Xm_10:( ( $i > $i ) > $i > $o )]: 312.73/40.92 ( ( ![G:( $i > $i ),H:( $i > $i )]: 312.73/40.92 ( ( ( ![Xw_1:$i]: ( ( Xm_10 @ G @ Xw_1 ) | ( Xm_9 @ G @ Xw_1 ) ) ) & 312.73/40.92 ( ![Xw_1:$i]: ( ( Xm_9 @ H @ Xw_1 ) | ( Xm_10 @ H @ Xw_1 ) ) ) & 312.73/40.92 ( ![Xw_1:$i]: ( ( Xm_10 @ G @ Xw_1 ) | ( Xm_9 @ G @ Xw_1 ) ) ) ) => 312.73/40.92 ( ( ![Y:$i]: ( ( P @ Y ) => ( P @ ( G @ Y ) ) ) ) & 312.73/40.92 ( ![Xw_1:$i]: 312.73/40.92 ( ( Xm_9 @ ( ^[Xx:$i]: ( G @ ( H @ Xx ) ) ) @ Xw_1 ) | 312.73/40.92 ( Xm_10 @ ( ^[Xx:$i]: ( G @ ( H @ Xx ) ) ) @ Xw_1 ) ) ) ) ) ) & 312.73/40.92 ( ![Xw_1:$i]: 312.73/40.92 ( ( Xm_9 @ ( ^[Xx:$i]: ( Xx ) ) @ Xw_1 ) | 312.73/40.92 ( Xm_10 @ ( ^[Xx:$i]: ( Xx ) ) @ Xw_1 ) ) ) ) ))). 312.73/40.92 thf(zf_stmt_0, negated_conjecture, 312.73/40.92 (~( ![P:( $i > $o )]: 312.73/40.92 ( ?[Xm_9:( ( $i > $i ) > $i > $o ),Xm_10:( ( $i > $i ) > $i > $o )]: 312.73/40.92 ( ( ![G:( $i > $i ),H:( $i > $i )]: 312.73/40.92 ( ( ( ![Xw_1:$i]: ( ( Xm_10 @ G @ Xw_1 ) | ( Xm_9 @ G @ Xw_1 ) ) ) & 312.73/40.92 ( ![Xw_1:$i]: ( ( Xm_9 @ H @ Xw_1 ) | ( Xm_10 @ H @ Xw_1 ) ) ) & 312.73/40.92 ( ![Xw_1:$i]: ( ( Xm_10 @ G @ Xw_1 ) | ( Xm_9 @ G @ Xw_1 ) ) ) ) => 312.73/40.92 ( ( ![Y:$i]: ( ( P @ Y ) => ( P @ ( G @ Y ) ) ) ) & 312.73/40.92 ( ![Xw_1:$i]: 312.73/40.92 ( ( Xm_9 @ ( ^[Xx:$i]: ( G @ ( H @ Xx ) ) ) @ Xw_1 ) | 312.73/40.92 ( Xm_10 @ ( ^[Xx:$i]: ( G @ ( H @ Xx ) ) ) @ Xw_1 ) ) ) ) ) ) & 312.73/40.92 ( ![Xw_1:$i]: 312.73/40.92 ( ( Xm_9 @ ( ^[Xx:$i]: ( Xx ) ) @ Xw_1 ) | 312.73/40.92 ( Xm_10 @ ( ^[Xx:$i]: ( Xx ) ) @ Xw_1 ) ) ) ) ) )), 312.73/40.92 inference('cnf.neg', [status(esa)], [cTHM112D])). 312.73/40.92 thf(zip_derived_cl0, plain, 312.73/40.92 (~ (((!!) @ (^[Y0 : $i > $o]: 312.73/40.92 (((??) @ (^[Y1 : ($i > $i) > $i > $o]: 312.73/40.92 (((??) @ (^[Y2 : ($i > $i) > $i > $o]: 312.73/40.92 (((((!!) @ (^[Y3 : $i > $i]: 312.73/40.92 (((!!) @ (^[Y4 : $i > $i]: 312.73/40.92 (( 312.73/40.92 (( 312.73/40.92 ( 312.73/40.92 ( 312.73/40.92 (!!) @ ( 312.73/40.92 ^[Y5 : $i]: 312.73/40.92 (( 312.73/40.92 (Y2 @ 312.73/40.92 Y3 @ 312.73/40.92 Y5) | 312.73/40.92 (Y1 @ 312.73/40.92 Y3 @ Y5)))))) & 312.73/40.92 ( 312.73/40.92 ( 312.73/40.92 (!!) @ ( 312.73/40.92 ^[Y5 : $i]: 312.73/40.92 (( 312.73/40.92 (Y1 @ 312.73/40.92 Y4 @ 312.73/40.92 Y5) | 312.73/40.92 (Y2 @ 312.73/40.92 Y4 @ Y5)))))) & 312.73/40.92 ( 312.73/40.92 ( 312.73/40.92 (!!) @ ( 312.73/40.92 ^[Y5 : $i]: 312.73/40.92 (( 312.73/40.92 (Y2 @ 312.73/40.92 Y3 @ 312.73/40.92 Y5) | 312.73/40.92 (Y1 @ 312.73/40.92 Y3 @ Y5)))))))) => 312.73/40.92 (( 312.73/40.92 (( 312.73/40.92 (!!) @ ( 312.73/40.92 ^[Y5 : $i]: 312.73/40.92 (( 312.73/40.92 (Y0 @ 312.73/40.92 Y5) => 312.73/40.92 (Y0 @ 312.73/40.92 ( 312.73/40.92 Y3 @ Y5))))))) & 312.73/40.92 (( 312.73/40.92 (!!) @ ( 312.73/40.92 ^[Y5 : $i]: 312.73/40.92 (( 312.73/40.92 (Y1 @ 312.73/40.92 ( 312.73/40.92 ^[Y6 : $i]: 312.73/40.92 (Y3 @ 312.73/40.92 (Y4 @ Y6))) @ 312.73/40.92 Y5) | 312.73/40.92 (Y2 @ 312.73/40.92 ( 312.73/40.92 ^[Y6 : $i]: 312.73/40.92 (Y3 @ 312.73/40.92 (Y4 @ Y6))) @ 312.73/40.92 Y5)))))))))))))))) & 312.73/40.92 (((!!) @ (^[Y3 : $i]: 312.73/40.92 (((Y1 @ 312.73/40.92 (^[Y4 : $i]: (Y4)) @ 312.73/40.92 Y3) | (Y2 @ 312.73/40.92 (^[Y4 : $i]: (Y4)) @ 312.73/40.92 Y3)))))))))))))))))), 312.73/40.92 inference('cnf', [status(esa)], [zf_stmt_0])). 312.73/40.92 thf(zip_derived_cl1, plain, 312.73/40.92 (~ (((!!) @ (^[Y0 : $i > $o]: 312.73/40.92 (((??) @ (^[Y1 : ($i > $i) > $i > $o]: 312.73/40.92 (((??) @ (^[Y2 : ($i > $i) > $i > $o]: 312.73/40.92 (((((!!) @ (^[Y3 : $i > $i]: 312.73/40.92 (((!!) @ (^[Y4 : $i > $i]: 312.73/40.92 (( 312.73/40.92 (( 312.73/40.92 (( 312.73/40.92 (!!) @ ( 312.73/40.92 ^[Y5 : $i]: 312.73/40.92 (( 312.73/40.92 (Y2 @ 312.73/40.92 Y3 @ 312.73/40.92 Y5) | 312.73/40.92 (Y1 @ 312.73/40.92 Y3 @ Y5)))))) & 312.73/40.92 (( 312.73/40.92 (!!) @ ( 312.73/40.92 ^[Y5 : $i]: 312.73/40.92 (( 312.73/40.92 (Y1 @ 312.73/40.92 Y4 @ 312.73/40.92 Y5) | 312.73/40.92 (Y2 @ 312.73/40.92 Y4 @ Y5)))))))) => 312.73/40.92 (( 312.73/40.92 (( 312.73/40.92 (!!) @ ( 312.73/40.92 ^[Y5 : $i]: 312.73/40.92 (( 312.73/40.92 (Y0 @ 312.73/40.92 Y5) => 312.73/40.92 (Y0 @ 312.73/40.92 ( 312.73/40.92 Y3 @ Y5))))))) & 312.73/40.92 (( 312.73/40.92 (!!) @ ( 312.73/40.92 ^[Y5 : $i]: 312.73/40.92 (( 312.73/40.92 (Y1 @ 312.73/40.92 ( 312.73/40.92 ^[Y6 : $i]: 312.73/40.92 (Y3 @ 312.73/40.92 (Y4 @ Y6))) @ 312.73/40.92 Y5) | 312.73/40.92 (Y2 @ 312.73/40.92 ( 312.73/40.92 ^[Y6 : $i]: 312.73/40.92 (Y3 @ 312.73/40.92 (Y4 @ Y6))) @ 312.73/40.92 Y5)))))))))))))))) & 312.73/40.92 (((!!) @ (^[Y3 : $i]: 312.73/40.92 (((Y1 @ 312.73/40.92 (^[Y4 : $i]: (Y4)) @ 312.73/40.92 Y3) | (Y2 @ 312.73/40.92 (^[Y4 : $i]: (Y4)) @ 312.73/40.92 Y3)))))))))))))))))), 312.73/40.92 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl0])). 312.73/40.92 thf(zip_derived_cl2, plain, 312.73/40.92 (~ (((??) @ (^[Y0 : ($i > $i) > $i > $o]: 312.73/40.92 (((??) @ (^[Y1 : ($i > $i) > $i > $o]: 312.73/40.92 (((((!!) @ (^[Y2 : $i > $i]: 312.73/40.92 (((!!) @ (^[Y3 : $i > $i]: 312.73/40.92 (((((((!!) @ ( 312.73/40.92 ^[Y4 : $i]: 312.73/40.92 (((Y1 @ 312.73/40.92 Y2 @ Y4) | 312.73/40.92 (Y0 @ 312.73/40.92 Y2 @ Y4)))))) & 312.73/40.92 (((!!) @ ( 312.73/40.92 ^[Y4 : $i]: 312.73/40.92 (((Y0 @ 312.73/40.92 Y3 @ Y4) | 312.73/40.92 (Y1 @ 312.73/40.92 Y3 @ Y4)))))))) => 312.73/40.92 (((((!!) @ ( 312.73/40.92 ^[Y4 : $i]: 312.73/40.92 ((('#sk1' @ 312.73/40.92 Y4) => 312.73/40.92 ('#sk1' @ 312.73/40.92 (Y2 @ Y4))))))) & 312.73/40.92 (((!!) @ ( 312.73/40.92 ^[Y4 : $i]: 312.73/40.92 (((Y0 @ 312.73/40.92 (^[Y5 : $i]: 312.73/40.92 (Y2 @ 312.73/40.92 (Y3 @ Y5))) @ 312.73/40.92 Y4) | 312.73/40.92 (Y1 @ 312.73/40.92 (^[Y5 : $i]: 312.73/40.92 (Y2 @ 312.73/40.92 (Y3 @ Y5))) @ 312.73/40.92 Y4)))))))))))))))) & 312.73/40.92 (((!!) @ (^[Y2 : $i]: 312.73/40.92 (((Y0 @ (^[Y3 : $i]: (Y3)) @ 312.73/40.92 Y2) | (Y1 @ 312.73/40.92 (^[Y3 : $i]: (Y3)) @ Y2))))))))))))))), 312.73/40.92 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 312.73/40.92 thf(zip_derived_cl3, plain, 312.73/40.92 (![X2 : ($i > $i) > $i > $o]: 312.73/40.92 ~ (((??) @ (^[Y0 : ($i > $i) > $i > $o]: 312.73/40.92 (((((!!) @ (^[Y1 : $i > $i]: 312.73/40.92 (((!!) @ (^[Y2 : $i > $i]: 312.73/40.92 (((((((!!) @ (^[Y3 : $i]: 312.73/40.92 (((Y0 @ Y1 @ 312.73/40.92 Y3) | (X2 @ 312.73/40.92 Y1 @ Y3)))))) & 312.73/40.92 (((!!) @ (^[Y3 : $i]: 312.73/40.92 (((X2 @ Y2 @ 312.73/40.92 Y3) | (Y0 @ 312.73/40.92 Y2 @ Y3)))))))) => 312.73/40.92 (((((!!) @ (^[Y3 : $i]: 312.73/40.92 ((('#sk1' @ 312.73/40.92 Y3) => 312.73/40.92 ('#sk1' @ 312.73/40.92 (Y1 @ Y3))))))) & 312.73/40.92 (((!!) @ (^[Y3 : $i]: 312.73/40.92 (((X2 @ 312.73/40.92 (^[Y4 : $i]: 312.73/40.92 ( 312.73/40.92 Y1 @ 312.73/40.92 ( 312.73/40.92 Y2 @ Y4))) @ 312.73/40.92 Y3) | (Y0 @ 312.73/40.92 (^[Y4 : $i]: 312.73/40.92 ( 312.73/40.92 Y1 @ 312.73/40.92 ( 312.73/40.92 Y2 @ Y4))) @ 312.73/40.92 Y3)))))))))))))))) & 312.73/40.92 (((!!) @ (^[Y1 : $i]: 312.73/40.92 (((X2 @ (^[Y2 : $i]: (Y2)) @ Y1) | (Y0 @ 312.73/40.92 (^[Y2 : $i]: (Y2)) @ Y1)))))))))))), 312.73/40.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 312.73/40.92 thf(zip_derived_cl5, plain, 312.73/40.92 (~ (((??) @ (^[Y0 : ($i > $i) > $i > $o]: 312.73/40.92 (((((!!) @ (^[Y1 : $i > $i]: 312.73/40.92 (((!!) @ (^[Y2 : $i > $i]: 312.73/40.92 (((((((!!) @ (^[Y3 : $i]: 312.73/40.92 (((Y0 @ Y1 @ 312.73/40.92 Y3) | ($false)))))) & 312.73/40.92 (((!!) @ (^[Y3 : $i]: 312.73/40.92 ((($false) | 312.73/40.92 (Y0 @ Y2 @ Y3)))))))) => 312.73/40.92 (((((!!) @ (^[Y3 : $i]: 312.73/40.92 ((('#sk1' @ 312.73/40.92 Y3) => 312.73/40.92 ('#sk1' @ 312.73/40.92 (Y1 @ Y3))))))) & 312.73/40.92 (((!!) @ (^[Y3 : $i]: 312.73/40.92 ((($false) | 312.73/40.92 (Y0 @ 312.73/40.92 (^[Y4 : $i]: 312.73/40.92 (Y1 @ 312.73/40.92 (Y2 @ Y4))) @ 312.73/40.92 Y3)))))))))))))))) & 312.73/40.92 (((!!) @ (^[Y1 : $i]: 312.73/40.92 ((($false) | (Y0 @ (^[Y2 : $i]: (Y2)) @ Y1)))))))))))), 312.73/40.92 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl3])). 312.73/40.92 thf(zip_derived_cl7, plain, 312.73/40.92 (~ (((??) @ (^[Y0 : ($i > $i) > $i > $o]: 312.73/40.92 (((((!!) @ (^[Y1 : $i > $i]: 312.73/40.92 (((!!) @ (^[Y2 : $i > $i]: 312.73/40.92 (((((((!!) @ (^[Y3 : $i]: 312.73/40.92 (Y0 @ Y1 @ Y3)))) & 312.73/40.92 (((!!) @ (^[Y3 : $i]: 312.73/40.92 (Y0 @ Y2 @ Y3)))))) => 312.73/40.92 (((((!!) @ (^[Y3 : $i]: 312.73/40.92 ((('#sk1' @ 312.73/40.92 Y3) => 312.73/40.92 ('#sk1' @ 312.73/40.92 (Y1 @ Y3))))))) & 312.73/40.92 (((!!) @ (^[Y3 : $i]: 312.73/40.92 (Y0 @ 312.73/40.92 (^[Y4 : $i]: 312.73/40.92 (Y1 @ 312.73/40.92 (Y2 @ Y4))) @ 312.73/40.92 Y3)))))))))))))) & 312.73/40.92 (((!!) @ (^[Y1 : $i]: (Y0 @ (^[Y2 : $i]: (Y2)) @ Y1)))))))))), 312.73/40.92 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl5])). 312.73/40.92 thf(zip_derived_cl8, plain, 312.73/40.92 (![X2 : ($i > $i) > $i > $o]: 312.73/40.92 ~ (((((!!) @ (^[Y0 : $i > $i]: 312.73/40.92 (((!!) @ (^[Y1 : $i > $i]: 312.73/40.92 (((((((!!) @ (^[Y2 : $i]: (X2 @ Y0 @ Y2)))) & 312.73/40.92 (((!!) @ (^[Y2 : $i]: (X2 @ Y1 @ Y2)))))) => 312.73/40.92 (((((!!) @ (^[Y2 : $i]: 312.73/40.92 ((('#sk1' @ Y2) => 312.73/40.92 ('#sk1' @ (Y0 @ Y2))))))) & 312.73/40.92 (((!!) @ (^[Y2 : $i]: 312.73/40.92 (X2 @ 312.73/40.92 (^[Y3 : $i]: 312.73/40.92 (Y0 @ (Y1 @ Y3))) @ 312.73/40.92 Y2)))))))))))))) & 312.73/40.92 (((!!) @ (^[Y0 : $i]: (X2 @ (^[Y1 : $i]: (Y1)) @ Y0))))))), 312.73/40.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 312.73/40.92 thf(zip_derived_cl26, plain, 312.73/40.92 (![X2 : ($i > $i) > $i > $o]: 312.73/40.92 (~ (((!!) @ (^[Y0 : $i > $i]: 312.73/40.92 (((!!) @ (^[Y1 : $i > $i]: 312.73/40.92 (((((((!!) @ (^[Y2 : $i]: (X2 @ Y0 @ Y2)))) & 312.73/40.92 (((!!) @ (^[Y2 : $i]: (X2 @ Y1 @ Y2)))))) => 312.73/40.92 (((((!!) @ (^[Y2 : $i]: 312.73/40.92 ((('#sk1' @ Y2) => 312.73/40.92 ('#sk1' @ (Y0 @ Y2))))))) & 312.73/40.92 (((!!) @ (^[Y2 : $i]: 312.73/40.92 (X2 @ 312.73/40.92 (^[Y3 : $i]: 312.73/40.92 (Y0 @ (Y1 @ Y3))) @ 312.73/40.92 Y2)))))))))))))) 312.73/40.92 | ~ (((!!) @ (^[Y0 : $i]: (X2 @ (^[Y1 : $i]: (Y1)) @ Y0)))))), 312.73/40.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl8])). 312.73/40.92 thf(zip_derived_cl27, plain, 312.73/40.92 (![X2 : ($i > $i) > $i > $o]: 312.73/40.92 (~ (((!!) @ (^[Y0 : $i > $i]: 312.73/40.92 (((((((!!) @ (^[Y1 : $i]: (X2 @ ('#sk133' @ X2) @ Y1)))) & 312.73/40.92 (((!!) @ (^[Y1 : $i]: (X2 @ Y0 @ Y1)))))) => 312.73/40.92 (((((!!) @ (^[Y1 : $i]: 312.73/40.92 ((('#sk1' @ Y1) => ('#sk1' @ 312.73/40.92 ('#sk133' @ X2 @ Y1))))))) & 312.73/40.92 (((!!) @ (^[Y1 : $i]: 312.73/40.92 (X2 @ 312.73/40.92 (^[Y2 : $i]: 312.73/40.92 ('#sk133' @ X2 @ (Y0 @ Y2))) @ 312.73/40.92 Y1))))))))))) 312.73/40.92 | ~ (((!!) @ (^[Y0 : $i]: (X2 @ (^[Y1 : $i]: (Y1)) @ Y0)))))), 312.73/40.92 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl26])). 312.73/40.92 thf(zip_derived_cl32, plain, 312.73/40.92 (![X2 : ($i > $i) > $i > $o]: 312.73/40.92 (~ (((((((!!) @ (^[Y0 : $i]: (X2 @ ('#sk133' @ X2) @ Y0)))) & 312.73/40.92 (((!!) @ (^[Y0 : $i]: (X2 @ ('#sk230' @ X2) @ Y0)))))) => 312.73/40.92 (((((!!) @ (^[Y0 : $i]: 312.73/40.92 ((('#sk1' @ Y0) => ('#sk1' @ ('#sk133' @ X2 @ Y0))))))) & 312.73/40.92 (((!!) @ (^[Y0 : $i]: 312.73/40.92 (X2 @ 312.73/40.92 (^[Y1 : $i]: 312.73/40.92 ('#sk133' @ X2 @ ('#sk230' @ X2 @ Y1))) @ 312.73/40.92 Y0)))))))) 312.73/40.92 | ~ (((!!) @ (^[Y0 : $i]: (X2 @ (^[Y1 : $i]: (Y1)) @ Y0)))))), 312.73/40.92 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl27])). 312.73/40.92 thf(zip_derived_cl33, plain, 312.73/40.92 (![X2 : ($i > $i) > $i > $o]: 312.73/40.92 ( (((((!!) @ (^[Y0 : $i]: (X2 @ ('#sk133' @ X2) @ Y0)))) & 312.73/40.92 (((!!) @ (^[Y0 : $i]: (X2 @ ('#sk230' @ X2) @ Y0)))))) 312.73/40.92 | ~ (((!!) @ (^[Y0 : $i]: (X2 @ (^[Y1 : $i]: (Y1)) @ Y0)))))), 312.73/40.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl32])). 312.73/40.92 thf(zip_derived_cl35, plain, 312.73/40.92 (![X2 : ($i > $i) > $i > $o]: 312.73/40.92 ( (((!!) @ (^[Y0 : $i]: (X2 @ ('#sk133' @ X2) @ Y0)))) 312.73/40.92 | ~ (((!!) @ (^[Y0 : $i]: (X2 @ (^[Y1 : $i]: (Y1)) @ Y0)))))), 312.73/40.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])). 312.73/40.92 thf(zip_derived_cl37, plain, 312.73/40.92 (![X2 : ($i > $i) > $i > $o, X4 : $i]: 312.73/40.92 ( (X2 @ ('#sk133' @ X2) @ X4) 312.73/40.92 | ~ (((!!) @ (^[Y0 : $i]: (X2 @ (^[Y1 : $i]: (Y1)) @ Y0)))))), 312.73/40.92 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl35])). 312.73/40.92 thf(zip_derived_cl48, plain, 312.73/40.92 (![X2 : ($i > $i) > $i > $o, X4 : $i]: 312.73/40.92 (~ (X2 @ (^[Y0 : $i]: (Y0)) @ ('#sk504' @ X2)) 312.73/40.92 | (X2 @ ('#sk133' @ X2) @ X4))), 312.73/40.92 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl37])). 312.73/40.92 thf(zip_derived_cl34, plain, 312.73/40.92 (![X2 : ($i > $i) > $i > $o]: 312.73/40.92 (~ (((((!!) @ (^[Y0 : $i]: 312.73/40.92 ((('#sk1' @ Y0) => ('#sk1' @ ('#sk133' @ X2 @ Y0))))))) & 312.73/40.92 (((!!) @ (^[Y0 : $i]: 312.73/40.92 (X2 @ 312.73/40.92 (^[Y1 : $i]: ('#sk133' @ X2 @ ('#sk230' @ X2 @ Y1))) @ 312.73/40.92 Y0)))))) 312.73/40.92 | ~ (((!!) @ (^[Y0 : $i]: (X2 @ (^[Y1 : $i]: (Y1)) @ Y0)))))), 312.73/40.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl32])). 312.73/40.92 thf(zip_derived_cl44, plain, 312.73/40.92 (![X2 : ($i > $i) > $i > $o]: 312.73/40.92 (~ (((!!) @ (^[Y0 : $i]: 312.73/40.92 ((('#sk1' @ Y0) => ('#sk1' @ ('#sk133' @ X2 @ Y0))))))) 312.73/40.92 | ~ (((!!) @ (^[Y0 : $i]: 312.73/40.92 (X2 @ 312.73/40.92 (^[Y1 : $i]: ('#sk133' @ X2 @ ('#sk230' @ X2 @ Y1))) @ 312.73/40.92 Y0)))) 312.73/40.92 | ~ (((!!) @ (^[Y0 : $i]: (X2 @ (^[Y1 : $i]: (Y1)) @ Y0)))))), 312.73/40.92 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl34])). 312.73/40.92 thf(zip_derived_cl89, plain, 312.73/40.92 ((~ ((^[Y0 : $i > $i,Y1 : $i]: 312.73/40.92 (((!!) @ ((^[Y2 : $i > $i,Y3 : $i,Y4 : $i]: 312.73/40.92 ((((^[Y5 : $i > $i,Y6 : $i,Y7 : $i]: 312.73/40.92 ('#sk1' @ 312.73/40.92 ((^[Y8 : $i > $i,Y9 : $i,Y10 : $i]: (Y10)) @ 312.73/40.92 Y5 @ Y6 @ Y7))) @ 312.73/40.92 Y2 @ Y3 @ Y4) => 312.73/40.92 ((^[Y5 : $i > $i,Y6 : $i,Y7 : $i]: 312.73/40.92 ('#sk1' @ 312.73/40.92 ((^[Y8 : $i > $i,Y9 : $i,Y10 : $i]: 312.73/40.92 (Y8 @ 312.73/40.92 ((^[Y11 : $i > $i,Y12 : $i,Y13 : $i]: 312.73/40.92 (Y13)) @ 312.73/40.92 Y8 @ Y9 @ Y10))) @ 312.73/40.92 Y5 @ Y6 @ Y7))) @ 312.73/40.92 Y2 @ Y3 @ Y4)))) @ 312.73/40.92 Y0 @ Y1)))) @ 312.73/40.92 (^[Y0 : $i]: (Y0)) @ 312.73/40.92 ('#sk504' @ 312.73/40.92 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.92 (((!!) @ ((^[Y2 : $i > $i,Y3 : $i,Y4 : $i]: 312.73/40.92 ((((^[Y5 : $i > $i,Y6 : $i,Y7 : $i]: 312.73/40.92 ('#sk1' @ 312.73/40.92 ((^[Y8 : $i > $i,Y9 : $i,Y10 : $i]: (Y10)) @ 312.73/40.92 Y5 @ Y6 @ Y7))) @ 312.73/40.92 Y2 @ Y3 @ Y4) => 312.73/40.92 ((^[Y5 : $i > $i,Y6 : $i,Y7 : $i]: 312.73/40.92 ('#sk1' @ 312.73/40.92 ((^[Y8 : $i > $i,Y9 : $i,Y10 : $i]: 312.73/40.92 (Y8 @ 312.73/40.92 ((^[Y11 : $i > $i,Y12 : $i,Y13 : $i]: 312.73/40.92 (Y13)) @ 312.73/40.92 Y8 @ Y9 @ Y10))) @ 312.73/40.92 Y5 @ Y6 @ Y7))) @ 312.73/40.92 Y2 @ Y3 @ Y4)))) @ 312.73/40.92 Y0 @ Y1)))))) 312.73/40.92 | ~ (((!!) @ (^[Y0 : $i]: 312.73/40.92 ((^[Y1 : $i > $i,Y2 : $i]: 312.73/40.92 (((!!) @ (^[Y3 : $i]: 312.73/40.92 ((('#sk1' @ 312.73/40.92 ((^[Y4 : $i > $i,Y5 : $i,Y6 : $i]: 312.73/40.92 (Y6)) @ 312.73/40.92 Y1 @ Y2 @ Y3)) => 312.73/40.92 ('#sk1' @ 312.73/40.92 (Y1 @ 312.73/40.92 ((^[Y4 : $i > $i,Y5 : $i,Y6 : $i]: 312.73/40.92 (Y6)) @ 312.73/40.92 Y1 @ Y2 @ Y3))))))))) @ 312.73/40.92 (^[Y1 : $i]: (Y1)) @ Y0)))) 312.73/40.92 | ~ (((!!) @ (^[Y0 : $i]: 312.73/40.92 ((^[Y1 : $i > $i,Y2 : $i]: 312.73/40.93 (((!!) @ (^[Y3 : $i]: 312.73/40.93 ((('#sk1' @ 312.73/40.93 ((^[Y4 : $i > $i,Y5 : $i,Y6 : $i]: 312.73/40.93 (Y6)) @ 312.73/40.93 Y1 @ Y2 @ Y3)) => 312.73/40.93 ('#sk1' @ 312.73/40.93 (Y1 @ 312.73/40.93 ((^[Y4 : $i > $i,Y5 : $i,Y6 : $i]: 312.73/40.93 (Y6)) @ 312.73/40.93 Y1 @ Y2 @ Y3))))))))) @ 312.73/40.93 (^[Y1 : $i]: 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ 312.73/40.93 ((^[Y5 : $i > $i,Y6 : $i,Y7 : $i]: 312.73/40.93 (Y7)) @ 312.73/40.93 Y2 @ Y3 @ Y4)) => 312.73/40.93 ('#sk1' @ 312.73/40.93 (Y2 @ 312.73/40.93 ((^[Y5 : $i > $i,Y6 : $i,Y7 : $i]: 312.73/40.93 (Y7)) @ 312.73/40.93 Y2 @ Y3 @ Y4))))))))) @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ 312.73/40.93 ((^[Y5 : $i > $i,Y6 : $i,Y7 : $i]: 312.73/40.93 (Y7)) @ 312.73/40.93 Y2 @ Y3 @ Y4)) => 312.73/40.93 ('#sk1' @ 312.73/40.93 (Y2 @ 312.73/40.93 ((^[Y5 : $i > $i,Y6 : $i, 312.73/40.93 Y7 : $i]: 312.73/40.93 (Y7)) @ 312.73/40.93 Y2 @ Y3 @ Y4))))))))) @ 312.73/40.93 Y1))) @ 312.73/40.93 Y0)))))), 312.73/40.93 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl44])). 312.73/40.93 thf(zip_derived_cl117, plain, 312.73/40.93 ((~ (((!!) @ (^[Y0 : $i]: ((('#sk1' @ Y0) => ('#sk1' @ Y0)))))) 312.73/40.93 | ~ (((!!) @ (^[Y0 : $i]: 312.73/40.93 (((!!) @ (^[Y1 : $i]: 312.73/40.93 ((('#sk1' @ Y1) => ('#sk1' @ Y1))))))))) 312.73/40.93 | ~ (((!!) @ (^[Y0 : $i]: 312.73/40.93 (((!!) @ (^[Y1 : $i]: 312.73/40.93 ((('#sk1' @ Y1) => ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ Y4) => 312.73/40.93 ('#sk1' @ (Y2 @ Y4)))))))) @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ Y4) => 312.73/40.93 ('#sk1' @ (Y2 @ Y4)))))))) @ 312.73/40.93 Y1))))))))))))), 312.73/40.93 inference('ho_norm', [status(thm)], [zip_derived_cl89])). 312.73/40.93 thf(zip_derived_cl118, plain, 312.73/40.93 (~ (((!!) @ (^[Y0 : $i]: 312.73/40.93 (((!!) @ (^[Y1 : $i]: 312.73/40.93 ((('#sk1' @ Y1) => ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ Y4) => 312.73/40.93 ('#sk1' @ (Y2 @ Y4)))))))) @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ Y4) => 312.73/40.93 ('#sk1' @ (Y2 @ Y4)))))))) @ 312.73/40.93 Y1)))))))))))), 312.73/40.93 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl117])). 312.73/40.93 thf(zip_derived_cl333, plain, 312.73/40.93 (~ (((!!) @ (^[Y0 : $i]: 312.73/40.93 ((('#sk1' @ Y0) => ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y1 : $i > $i,Y2 : $i]: 312.73/40.93 (((!!) @ (^[Y3 : $i]: 312.73/40.93 ((('#sk1' @ Y3) => ('#sk1' @ (Y1 @ Y3)))))))) @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y1 : $i > $i,Y2 : $i]: 312.73/40.93 (((!!) @ (^[Y3 : $i]: 312.73/40.93 ((('#sk1' @ Y3) => ('#sk1' @ (Y1 @ Y3)))))))) @ 312.73/40.93 Y0))))))))), 312.73/40.93 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl118])). 312.73/40.93 thf(zip_derived_cl334, plain, 312.73/40.93 (~ ((('#sk1' @ '#sk1468') => ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 '#sk1468')))))), 312.73/40.93 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl333])). 312.73/40.93 thf(zip_derived_cl339, plain, ( ('#sk1' @ '#sk1468')), 312.73/40.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl334])). 312.73/40.93 thf(zip_derived_cl48, plain, 312.73/40.93 (![X2 : ($i > $i) > $i > $o, X4 : $i]: 312.73/40.93 (~ (X2 @ (^[Y0 : $i]: (Y0)) @ ('#sk504' @ X2)) 312.73/40.93 | (X2 @ ('#sk133' @ X2) @ X4))), 312.73/40.93 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl37])). 312.73/40.93 thf(zip_derived_cl32, plain, 312.73/40.93 (![X2 : ($i > $i) > $i > $o]: 312.73/40.93 (~ (((((((!!) @ (^[Y0 : $i]: (X2 @ ('#sk133' @ X2) @ Y0)))) & 312.73/40.93 (((!!) @ (^[Y0 : $i]: (X2 @ ('#sk230' @ X2) @ Y0)))))) => 312.73/40.93 (((((!!) @ (^[Y0 : $i]: 312.73/40.93 ((('#sk1' @ Y0) => ('#sk1' @ ('#sk133' @ X2 @ Y0))))))) & 312.73/40.93 (((!!) @ (^[Y0 : $i]: 312.73/40.93 (X2 @ 312.73/40.93 (^[Y1 : $i]: 312.73/40.93 ('#sk133' @ X2 @ ('#sk230' @ X2 @ Y1))) @ 312.73/40.93 Y0)))))))) 312.73/40.93 | ~ (((!!) @ (^[Y0 : $i]: (X2 @ (^[Y1 : $i]: (Y1)) @ Y0)))))), 312.73/40.93 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl27])). 312.73/40.93 thf(zip_derived_cl137, plain, 312.73/40.93 ((~ (((((((!!) @ (^[Y0 : $i]: 312.73/40.93 ((^[Y1 : $i > $i,Y2 : $i]: 312.73/40.93 (((!!) @ (^[Y3 : $i]: 312.73/40.93 ((('#sk1' @ 312.73/40.93 ((^[Y4 : $i > $i,Y5 : $i,Y6 : $i]: 312.73/40.93 (Y6)) @ 312.73/40.93 Y1 @ Y2 @ Y3)) => 312.73/40.93 ('#sk1' @ 312.73/40.93 (Y1 @ 312.73/40.93 ((^[Y4 : $i > $i,Y5 : $i,Y6 : $i]: 312.73/40.93 (Y6)) @ 312.73/40.93 Y1 @ Y2 @ Y3))))))))) @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y1 : $i > $i,Y2 : $i]: 312.73/40.93 (((!!) @ (^[Y3 : $i]: 312.73/40.93 ((('#sk1' @ 312.73/40.93 ((^[Y4 : $i > $i,Y5 : $i,Y6 : $i]: 312.73/40.93 (Y6)) @ 312.73/40.93 Y1 @ Y2 @ Y3)) => 312.73/40.93 ('#sk1' @ 312.73/40.93 (Y1 @ 312.73/40.93 ((^[Y4 : $i > $i,Y5 : $i,Y6 : $i]: 312.73/40.93 (Y6)) @ 312.73/40.93 Y1 @ Y2 @ Y3)))))))))) @ 312.73/40.93 Y0)))) & 312.73/40.93 (((!!) @ (^[Y0 : $i]: 312.73/40.93 ((^[Y1 : $i > $i,Y2 : $i]: 312.73/40.93 (((!!) @ (^[Y3 : $i]: 312.73/40.93 ((('#sk1' @ 312.73/40.93 ((^[Y4 : $i > $i,Y5 : $i,Y6 : $i]: 312.73/40.93 (Y6)) @ 312.73/40.93 Y1 @ Y2 @ Y3)) => 312.73/40.93 ('#sk1' @ 312.73/40.93 (Y1 @ 312.73/40.93 ((^[Y4 : $i > $i,Y5 : $i,Y6 : $i]: 312.73/40.93 (Y6)) @ 312.73/40.93 Y1 @ Y2 @ Y3))))))))) @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y1 : $i > $i,Y2 : $i]: 312.73/40.93 (((!!) @ (^[Y3 : $i]: 312.73/40.93 ((('#sk1' @ 312.73/40.93 ((^[Y4 : $i > $i,Y5 : $i,Y6 : $i]: 312.73/40.93 (Y6)) @ 312.73/40.93 Y1 @ Y2 @ Y3)) => 312.73/40.93 ('#sk1' @ 312.73/40.93 (Y1 @ 312.73/40.93 ((^[Y4 : $i > $i,Y5 : $i,Y6 : $i]: 312.73/40.93 (Y6)) @ 312.73/40.93 Y1 @ Y2 @ Y3)))))))))) @ 312.73/40.93 Y0)))))) => 312.73/40.93 ((($true) & 312.73/40.93 (((!!) @ (^[Y0 : $i]: 312.73/40.93 ((^[Y1 : $i > $i,Y2 : $i]: 312.73/40.93 (((!!) @ (^[Y3 : $i]: 312.73/40.93 ((('#sk1' @ 312.73/40.93 ((^[Y4 : $i > $i,Y5 : $i,Y6 : $i]: 312.73/40.93 (Y6)) @ 312.73/40.93 Y1 @ Y2 @ Y3)) => 312.73/40.93 ('#sk1' @ 312.73/40.93 (Y1 @ 312.73/40.93 ((^[Y4 : $i > $i,Y5 : $i,Y6 : $i]: 312.73/40.93 (Y6)) @ 312.73/40.93 Y1 @ Y2 @ Y3))))))))) @ 312.73/40.93 (^[Y1 : $i]: 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ 312.73/40.93 ((^[Y5 : $i > $i,Y6 : $i, 312.73/40.93 Y7 : $i]: 312.73/40.93 (Y7)) @ 312.73/40.93 Y2 @ Y3 @ Y4)) => 312.73/40.93 ('#sk1' @ 312.73/40.93 (Y2 @ 312.73/40.93 ((^[Y5 : $i > $i,Y6 : $i, 312.73/40.93 Y7 : $i]: 312.73/40.93 (Y7)) @ 312.73/40.93 Y2 @ Y3 @ Y4))))))))) @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ 312.73/40.93 ((^[Y5 : $i > $i,Y6 : $i, 312.73/40.93 Y7 : $i]: 312.73/40.93 (Y7)) @ 312.73/40.93 Y2 @ Y3 @ Y4)) => 312.73/40.93 ('#sk1' @ 312.73/40.93 (Y2 @ 312.73/40.93 ((^[Y5 : $i > $i,Y6 : $i, 312.73/40.93 Y7 : $i]: 312.73/40.93 (Y7)) @ 312.73/40.93 Y2 @ Y3 @ Y4))))))))) @ 312.73/40.93 Y1))) @ 312.73/40.93 Y0)))))))) 312.73/40.93 | ~ ((^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ ((^[Y2 : $i > $i,Y3 : $i,Y4 : $i]: 312.73/40.93 ((((^[Y5 : $i > $i,Y6 : $i,Y7 : $i]: 312.73/40.93 ('#sk1' @ 312.73/40.93 ((^[Y8 : $i > $i,Y9 : $i,Y10 : $i]: (Y10)) @ 312.73/40.93 Y5 @ Y6 @ Y7))) @ 312.73/40.93 Y2 @ Y3 @ Y4) => 312.73/40.93 ((^[Y5 : $i > $i,Y6 : $i,Y7 : $i]: 312.73/40.93 ('#sk1' @ 312.73/40.93 ((^[Y8 : $i > $i,Y9 : $i,Y10 : $i]: 312.73/40.93 (Y8 @ 312.73/40.93 ((^[Y11 : $i > $i,Y12 : $i,Y13 : $i]: 312.73/40.93 (Y13)) @ 312.73/40.93 Y8 @ Y9 @ Y10))) @ 312.73/40.93 Y5 @ Y6 @ Y7))) @ 312.73/40.93 Y2 @ Y3 @ Y4)))) @ 312.73/40.93 Y0 @ Y1)))) @ 312.73/40.93 (^[Y0 : $i]: (Y0)) @ 312.73/40.93 ('#sk504' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ ((^[Y2 : $i > $i,Y3 : $i,Y4 : $i]: 312.73/40.93 ((((^[Y5 : $i > $i,Y6 : $i,Y7 : $i]: 312.73/40.93 ('#sk1' @ 312.73/40.93 ((^[Y8 : $i > $i,Y9 : $i,Y10 : $i]: (Y10)) @ 312.73/40.93 Y5 @ Y6 @ Y7))) @ 312.73/40.93 Y2 @ Y3 @ Y4) => 312.73/40.93 ((^[Y5 : $i > $i,Y6 : $i,Y7 : $i]: 312.73/40.93 ('#sk1' @ 312.73/40.93 ((^[Y8 : $i > $i,Y9 : $i,Y10 : $i]: 312.73/40.93 (Y8 @ 312.73/40.93 ((^[Y11 : $i > $i,Y12 : $i,Y13 : $i]: 312.73/40.93 (Y13)) @ 312.73/40.93 Y8 @ Y9 @ Y10))) @ 312.73/40.93 Y5 @ Y6 @ Y7))) @ 312.73/40.93 Y2 @ Y3 @ Y4)))) @ 312.73/40.93 Y0 @ Y1)))))) 312.73/40.93 | ~ (((!!) @ (^[Y0 : $i]: 312.73/40.93 ((^[Y1 : $i > $i,Y2 : $i]: 312.73/40.93 (((!!) @ (^[Y3 : $i]: 312.73/40.93 ((('#sk1' @ 312.73/40.93 ((^[Y4 : $i > $i,Y5 : $i,Y6 : $i]: 312.73/40.93 (Y6)) @ 312.73/40.93 Y1 @ Y2 @ Y3)) => 312.73/40.93 ('#sk1' @ 312.73/40.93 (Y1 @ 312.73/40.93 ((^[Y4 : $i > $i,Y5 : $i,Y6 : $i]: 312.73/40.93 (Y6)) @ 312.73/40.93 Y1 @ Y2 @ Y3))))))))) @ 312.73/40.93 (^[Y1 : $i]: (Y1)) @ Y0)))))), 312.73/40.93 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl32])). 312.73/40.93 thf(zip_derived_cl139, plain, 312.73/40.93 ((~ (((((((!!) @ (^[Y0 : $i]: 312.73/40.93 (((!!) @ (^[Y1 : $i]: 312.73/40.93 ((('#sk1' @ Y1) => ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ Y4) => 312.73/40.93 ('#sk1' @ (Y2 @ Y4)))))))) @ 312.73/40.93 Y1)))))))))) & 312.73/40.93 (((!!) @ (^[Y0 : $i]: 312.73/40.93 (((!!) @ (^[Y1 : $i]: 312.73/40.93 ((('#sk1' @ Y1) => ('#sk1' @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ Y4) => 312.73/40.93 ('#sk1' @ (Y2 @ Y4)))))))) @ 312.73/40.93 Y1)))))))))))) => 312.73/40.93 ((($true) & 312.73/40.93 (((!!) @ (^[Y0 : $i]: 312.73/40.93 (((!!) @ (^[Y1 : $i]: 312.73/40.93 ((('#sk1' @ Y1) => ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ Y4) => 312.73/40.93 ('#sk1' @ (Y2 @ Y4)))))))) @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ Y4) => 312.73/40.93 ('#sk1' @ (Y2 @ Y4)))))))) @ 312.73/40.93 Y1))))))))))))))) 312.73/40.93 | ~ (((!!) @ (^[Y0 : $i]: ((('#sk1' @ Y0) => ('#sk1' @ Y0)))))) 312.73/40.93 | ~ (((!!) @ (^[Y0 : $i]: 312.73/40.93 (((!!) @ (^[Y1 : $i]: 312.73/40.93 ((('#sk1' @ Y1) => ('#sk1' @ Y1))))))))))), 312.73/40.93 inference('ho_norm', [status(thm)], [zip_derived_cl137])). 312.73/40.93 thf(zip_derived_cl140, plain, 312.73/40.93 (~ (((((((!!) @ (^[Y0 : $i]: 312.73/40.93 (((!!) @ (^[Y1 : $i]: 312.73/40.93 ((('#sk1' @ Y1) => ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ Y4) => 312.73/40.93 ('#sk1' @ (Y2 @ Y4)))))))) @ 312.73/40.93 Y1)))))))))) & 312.73/40.93 (((!!) @ (^[Y0 : $i]: 312.73/40.93 (((!!) @ (^[Y1 : $i]: 312.73/40.93 ((('#sk1' @ Y1) => ('#sk1' @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ Y4) => 312.73/40.93 ('#sk1' @ (Y2 @ Y4)))))))) @ 312.73/40.93 Y1)))))))))))) => 312.73/40.93 (((!!) @ (^[Y0 : $i]: 312.73/40.93 (((!!) @ (^[Y1 : $i]: 312.73/40.93 ((('#sk1' @ Y1) => ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ Y4) => 312.73/40.93 ('#sk1' @ (Y2 @ Y4)))))))) @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ Y4) => 312.73/40.93 ('#sk1' @ (Y2 @ Y4)))))))) @ 312.73/40.93 Y1)))))))))))))), 312.73/40.93 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl139])). 312.73/40.93 thf(zip_derived_cl821, plain, 312.73/40.93 ( (((((!!) @ (^[Y0 : $i]: 312.73/40.93 (((!!) @ (^[Y1 : $i]: 312.73/40.93 ((('#sk1' @ Y1) => ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ Y4) => 312.73/40.93 ('#sk1' @ (Y2 @ Y4)))))))) @ 312.73/40.93 Y1)))))))))) & 312.73/40.93 (((!!) @ (^[Y0 : $i]: 312.73/40.93 (((!!) @ (^[Y1 : $i]: 312.73/40.93 ((('#sk1' @ Y1) => ('#sk1' @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ Y4) => 312.73/40.93 ('#sk1' @ (Y2 @ Y4)))))))) @ 312.73/40.93 Y1))))))))))))), 312.73/40.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl140])). 312.73/40.93 thf(zip_derived_cl832, plain, 312.73/40.93 ( (((!!) @ (^[Y0 : $i]: 312.73/40.93 (((!!) @ (^[Y1 : $i]: 312.73/40.93 ((('#sk1' @ Y1) => ('#sk1' @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ Y4) => ('#sk1' @ 312.73/40.93 (Y2 @ Y4)))))))) @ 312.73/40.93 Y1))))))))))), 312.73/40.93 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl821])). 312.73/40.93 thf(zip_derived_cl2375, plain, 312.73/40.93 ( (((!!) @ (^[Y0 : $i]: 312.73/40.93 ((('#sk1' @ Y0) => ('#sk1' @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y1 : $i > $i,Y2 : $i]: 312.73/40.93 (((!!) @ (^[Y3 : $i]: 312.73/40.93 ((('#sk1' @ Y3) => ('#sk1' @ (Y1 @ Y3)))))))) @ 312.73/40.93 Y0)))))))), 312.73/40.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl832])). 312.73/40.93 thf(zip_derived_cl2389, plain, 312.73/40.93 (![X2 : $i]: 312.73/40.93 ((('#sk1' @ X2) => ('#sk1' @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 X2))))), 312.73/40.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2375])). 312.73/40.93 thf(zip_derived_cl2401, plain, 312.73/40.93 ( ((($true) => ('#sk1' @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 '#sk1468'))))), 312.73/40.93 inference('sup+', [status(thm)], [zip_derived_cl339, zip_derived_cl2389])). 312.73/40.93 thf(zip_derived_cl2443, plain, 312.73/40.93 ( ('#sk1' @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 '#sk1468'))), 312.73/40.93 inference('simplify boolean subterms', [status(thm)], 312.73/40.93 [zip_derived_cl2401])). 312.73/40.93 thf(zip_derived_cl831, plain, 312.73/40.93 ( (((!!) @ (^[Y0 : $i]: 312.73/40.93 (((!!) @ (^[Y1 : $i]: 312.73/40.93 ((('#sk1' @ Y1) => ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y2 : $i > $i,Y3 : $i]: 312.73/40.93 (((!!) @ (^[Y4 : $i]: 312.73/40.93 ((('#sk1' @ Y4) => ('#sk1' @ 312.73/40.93 (Y2 @ Y4)))))))) @ 312.73/40.93 Y1))))))))))), 312.73/40.93 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl821])). 312.73/40.93 thf(zip_derived_cl893, plain, 312.73/40.93 ( (((!!) @ (^[Y0 : $i]: 312.73/40.93 ((('#sk1' @ Y0) => ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y1 : $i > $i,Y2 : $i]: 312.73/40.93 (((!!) @ (^[Y3 : $i]: 312.73/40.93 ((('#sk1' @ Y3) => ('#sk1' @ (Y1 @ Y3)))))))) @ 312.73/40.93 Y0)))))))), 312.73/40.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl831])). 312.73/40.93 thf(zip_derived_cl907, plain, 312.73/40.93 (![X2 : $i]: 312.73/40.93 ((('#sk1' @ X2) => ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 X2))))), 312.73/40.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl893])). 312.73/40.93 thf(zip_derived_cl2585, plain, 312.73/40.93 ( ((($true) => ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 '#sk1468')))))), 312.73/40.93 inference('sup+', [status(thm)], [zip_derived_cl2443, zip_derived_cl907])). 312.73/40.93 thf(zip_derived_cl36, plain, 312.73/40.93 (![X2 : ($i > $i) > $i > $o]: 312.73/40.93 ( (((!!) @ (^[Y0 : $i]: (X2 @ ('#sk230' @ X2) @ Y0)))) 312.73/40.93 | ~ (((!!) @ (^[Y0 : $i]: (X2 @ (^[Y1 : $i]: (Y1)) @ Y0)))))), 312.73/40.93 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])). 312.73/40.93 thf(zip_derived_cl214, plain, 312.73/40.93 (![X2 : ($i > $i) > $i > $o, X4 : $i]: 312.73/40.93 ( (X2 @ ('#sk230' @ X2) @ X4) 312.73/40.93 | ~ (((!!) @ (^[Y0 : $i]: (X2 @ (^[Y1 : $i]: (Y1)) @ Y0)))))), 312.73/40.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl36])). 312.73/40.93 thf(zip_derived_cl218, plain, 312.73/40.93 (![X2 : ($i > $i) > $i > $o, X4 : $i]: 312.73/40.93 (~ (X2 @ (^[Y0 : $i]: (Y0)) @ ('#sk504' @ X2)) 312.73/40.93 | (X2 @ ('#sk230' @ X2) @ X4))), 312.73/40.93 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl214])). 312.73/40.93 thf(zip_derived_cl334, plain, 312.73/40.93 (~ ((('#sk1' @ '#sk1468') => ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 '#sk1468')))))), 312.73/40.93 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl333])). 312.73/40.93 thf(zip_derived_cl335, plain, 312.73/40.93 ((~ ((($true) => ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: 312.73/40.93 ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 '#sk1468'))))) 312.73/40.93 | ~ ((^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 ('#sk1' @ ((^[Y2 : $i > $i,Y3 : $i]: ('#sk1468')) @ Y0 @ Y1))) @ 312.73/40.93 (^[Y0 : $i]: (Y0)) @ 312.73/40.93 ('#sk504' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 ('#sk1' @ ((^[Y2 : $i > $i,Y3 : $i]: ('#sk1468')) @ Y0 @ Y1))))))), 312.73/40.93 inference('sup-', [status(thm)], [zip_derived_cl218, zip_derived_cl334])). 312.73/40.93 thf(zip_derived_cl343, plain, 312.73/40.93 ((~ ((($true) => ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: 312.73/40.93 ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 '#sk1468'))))) 312.73/40.93 | ~ ('#sk1' @ '#sk1468'))), 312.73/40.93 inference('ho_norm', [status(thm)], [zip_derived_cl335])). 312.73/40.93 thf(zip_derived_cl344, plain, 312.73/40.93 ((~ ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 '#sk1468'))) 312.73/40.93 | ~ ('#sk1' @ '#sk1468'))), 312.73/40.93 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl343])). 312.73/40.93 thf(zip_derived_cl339, plain, ( ('#sk1' @ '#sk1468')), 312.73/40.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl334])). 312.73/40.93 thf(zip_derived_cl701, plain, 312.73/40.93 (~ ('#sk1' @ 312.73/40.93 ('#sk133' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 ('#sk230' @ 312.73/40.93 (^[Y0 : $i > $i,Y1 : $i]: 312.73/40.93 (((!!) @ (^[Y2 : $i]: ((('#sk1' @ Y2) => ('#sk1' @ (Y0 @ Y2)))))))) @ 312.73/40.93 '#sk1468')))), 312.73/40.93 inference('demod', [status(thm)], [zip_derived_cl344, zip_derived_cl339])). 312.73/40.93 thf(zip_derived_cl2595, plain, ( ((($true) => ($false)))), 312.73/40.93 inference('demod', [status(thm)], [zip_derived_cl2585, zip_derived_cl701])). 312.73/40.93 thf(zip_derived_cl2596, plain, ($false), 312.73/40.93 inference('simplify boolean subterms', [status(thm)], 312.73/40.93 [zip_derived_cl2595])). 312.73/40.93 312.73/40.93 % SZS output end Refutation 312.73/40.93 312.73/40.93 312.73/40.94 % Terminating... 313.43/41.11 % Runner terminated. 313.43/41.11 % Zipperpin 1.5 exiting 313.43/41.11 EOF