0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.w5p90FP5Cy true 0.13/0.34 % Computer : n018.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 02:35:00 EDT 2022 0.13/0.35 % CPUTime : 0.13/0.35 % Running portfolio for 960 s 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.35 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.54/0.68 % Total configuration time : 828 0.54/0.68 % Estimated wc time : 1656 0.54/0.68 % Estimated cpu time (8 cpus) : 207.0 0.57/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.57/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.58/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.59/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.59/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.59/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.59/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.59/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 50.65/7.05 % Solved by lams/20_acsne_simpl.sh. 50.65/7.05 % done 133 iterations in 6.192s 50.65/7.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 50.65/7.05 % SZS output start Refutation 50.65/7.05 thf('#sk415_type', type, '#sk415': (($i > $o) > ($i > $o) > $i > $o) > 50.65/7.05 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 50.65/7.05 thf('#sk587_type', type, '#sk587': (($i > $o) > ($i > $o) > $i > $o) > 50.65/7.05 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 50.65/7.05 thf('#sk1081_type', type, '#sk1081': (($i > $o) > ($i > $o) > $i > $o) > 50.65/7.05 (($i > $o) > ($i > $o) > $i > $o) > $i). 50.65/7.05 thf('#form414_type', type, '#form414': (($i > $o) > ($i > $o) > $i > $o) > 50.65/7.05 (($i > $o) > ($i > $o) > $i > $o) > $o). 50.65/7.05 thf('#form376_type', type, '#form376': (($i > $o) > ($i > $o) > $i > $o) > 50.65/7.05 (($i > $o) > ($i > $o) > $i > $o) > $o). 50.65/7.05 thf('#sk522_type', type, '#sk522': (($i > $o) > ($i > $o) > $i > $o) > 50.65/7.05 (($i > $o) > ($i > $o) > $i > $o) > $i). 50.65/7.05 thf('#sk71_type', type, '#sk71': (($i > $o) > ($i > $o) > $i > $o) > 50.65/7.05 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 50.65/7.05 thf('#sk736_type', type, '#sk736': (($i > $o) > ($i > $o) > $i > $o) > 50.65/7.05 (($i > $o) > ($i > $o) > $i > $o) > $i). 50.65/7.05 thf('#sk120_type', type, '#sk120': (($i > $o) > ($i > $o) > $i > $o) > 50.65/7.05 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 50.65/7.05 thf('#sk189_type', type, '#sk189': (($i > $o) > ($i > $o) > $i > $o) > 50.65/7.05 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 50.65/7.05 thf('#sk377_type', type, '#sk377': (($i > $o) > ($i > $o) > $i > $o) > 50.65/7.05 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 50.65/7.05 thf(cTHM122C_pme, conjecture, 50.65/7.05 (?[Xr_28:( ( $i > $o ) > ( $i > $o ) > $i > $o ), 50.65/7.05 Xr_27:( ( $i > $o ) > ( $i > $o ) > $i > $o )]: 50.65/7.05 ( ( ![Xx:( $i > $o ),Xy:( $i > $o ),Xz:( $i > $o )]: 50.65/7.05 ( ( ( ![Xw_2:$i]: 50.65/7.05 ( ( Xr_28 @ Xy @ Xz @ Xw_2 ) | ( Xr_27 @ Xy @ Xz @ Xw_2 ) ) ) & 50.65/7.05 ( ![Xw_2:$i]: 50.65/7.05 ( ( Xr_28 @ Xx @ Xy @ Xw_2 ) | ( Xr_27 @ Xx @ Xy @ Xw_2 ) ) ) ) => 50.65/7.05 ( ![Xw_2:$i]: 50.65/7.05 ( ( Xr_27 @ Xx @ Xz @ Xw_2 ) | ( Xr_28 @ Xx @ Xz @ Xw_2 ) ) ) ) ) & 50.65/7.05 ( ![Xx:( $i > $o ),Xw_2:$i]: 50.65/7.05 ( ( Xr_27 @ Xx @ Xx @ Xw_2 ) | ( Xr_28 @ Xx @ Xx @ Xw_2 ) ) ) & 50.65/7.05 ( ![Xu:( $i > $o ),Xv:( $i > $o )]: 50.65/7.05 ( ( ![Xw_2:$i]: 50.65/7.05 ( ( Xr_27 @ Xu @ Xv @ Xw_2 ) | ( Xr_28 @ Xu @ Xv @ Xw_2 ) ) ) => 50.65/7.05 ( ![Xz:$i]: ( ( Xu @ Xz ) => ( Xv @ Xz ) ) ) ) ) ))). 50.65/7.05 thf(zf_stmt_0, negated_conjecture, 50.65/7.05 (~( ?[Xr_28:( ( $i > $o ) > ( $i > $o ) > $i > $o ), 50.65/7.05 Xr_27:( ( $i > $o ) > ( $i > $o ) > $i > $o )]: 50.65/7.05 ( ( ![Xx:( $i > $o ),Xy:( $i > $o ),Xz:( $i > $o )]: 50.65/7.05 ( ( ( ![Xw_2:$i]: 50.65/7.05 ( ( Xr_28 @ Xy @ Xz @ Xw_2 ) | ( Xr_27 @ Xy @ Xz @ Xw_2 ) ) ) & 50.65/7.05 ( ![Xw_2:$i]: 50.65/7.05 ( ( Xr_28 @ Xx @ Xy @ Xw_2 ) | ( Xr_27 @ Xx @ Xy @ Xw_2 ) ) ) ) => 50.65/7.05 ( ![Xw_2:$i]: 50.65/7.05 ( ( Xr_27 @ Xx @ Xz @ Xw_2 ) | ( Xr_28 @ Xx @ Xz @ Xw_2 ) ) ) ) ) & 50.65/7.05 ( ![Xx:( $i > $o ),Xw_2:$i]: 50.65/7.05 ( ( Xr_27 @ Xx @ Xx @ Xw_2 ) | ( Xr_28 @ Xx @ Xx @ Xw_2 ) ) ) & 50.65/7.05 ( ![Xu:( $i > $o ),Xv:( $i > $o )]: 50.65/7.05 ( ( ![Xw_2:$i]: 50.65/7.05 ( ( Xr_27 @ Xu @ Xv @ Xw_2 ) | ( Xr_28 @ Xu @ Xv @ Xw_2 ) ) ) => 50.65/7.05 ( ![Xz:$i]: ( ( Xu @ Xz ) => ( Xv @ Xz ) ) ) ) ) ) )), 50.65/7.05 inference('cnf.neg', [status(esa)], [cTHM122C_pme])). 50.65/7.05 thf(zip_derived_cl0, plain, 50.65/7.05 (~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.05 (((??) @ (^[Y1 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.05 (((((!!) @ (^[Y2 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y3 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y4 : $i > $o]: 50.65/7.05 (( 50.65/7.05 (( 50.65/7.05 (( 50.65/7.05 (!!) @ ( 50.65/7.05 ^[Y5 : $i]: 50.65/7.05 (( 50.65/7.05 (Y0 @ 50.65/7.05 Y3 @ 50.65/7.05 Y4 @ 50.65/7.05 Y5) | 50.65/7.05 (Y1 @ 50.65/7.05 Y3 @ 50.65/7.05 Y4 @ Y5)))))) & 50.65/7.05 (( 50.65/7.05 (!!) @ ( 50.65/7.05 ^[Y5 : $i]: 50.65/7.05 (( 50.65/7.05 (Y0 @ 50.65/7.05 Y2 @ 50.65/7.05 Y3 @ 50.65/7.05 Y5) | 50.65/7.05 (Y1 @ 50.65/7.05 Y2 @ 50.65/7.05 Y3 @ Y5)))))))) => 50.65/7.05 (( 50.65/7.05 (!!) @ ( 50.65/7.05 ^[Y5 : $i]: 50.65/7.05 (( 50.65/7.05 (Y1 @ 50.65/7.05 Y2 @ 50.65/7.05 Y4 @ 50.65/7.05 Y5) | 50.65/7.05 (Y0 @ 50.65/7.05 Y2 @ 50.65/7.05 Y4 @ Y5))))))))))))))))) & 50.65/7.05 (((!!) @ (^[Y2 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y3 : $i]: 50.65/7.05 (((Y1 @ Y2 @ Y2 @ 50.65/7.05 Y3) | (Y0 @ Y2 @ 50.65/7.05 Y2 @ Y3))))))))) & 50.65/7.05 (((!!) @ (^[Y2 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y3 : $i > $o]: 50.65/7.05 (((((!!) @ ( 50.65/7.05 ^[Y4 : $i]: 50.65/7.05 (((Y1 @ Y2 @ 50.65/7.05 Y3 @ Y4) | 50.65/7.05 (Y0 @ Y2 @ 50.65/7.05 Y3 @ Y4)))))) => 50.65/7.05 (((!!) @ ( 50.65/7.05 ^[Y4 : $i]: 50.65/7.05 (((Y2 @ Y4) => 50.65/7.05 (Y3 @ Y4))))))))))))))))))))))), 50.65/7.05 inference('cnf', [status(esa)], [zf_stmt_0])). 50.65/7.05 thf(zip_derived_cl1, plain, 50.65/7.05 (![X2 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.05 ~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.05 (((((!!) @ (^[Y1 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y2 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y3 : $i > $o]: 50.65/7.05 (((((((!!) @ ( 50.65/7.05 ^[Y4 : $i]: 50.65/7.05 (( 50.65/7.05 (X2 @ 50.65/7.05 Y2 @ 50.65/7.05 Y3 @ 50.65/7.05 Y4) | 50.65/7.05 (Y0 @ 50.65/7.05 Y2 @ 50.65/7.05 Y3 @ Y4)))))) & 50.65/7.05 (((!!) @ ( 50.65/7.05 ^[Y4 : $i]: 50.65/7.05 (( 50.65/7.05 (X2 @ 50.65/7.05 Y1 @ 50.65/7.05 Y2 @ 50.65/7.05 Y4) | 50.65/7.05 (Y0 @ 50.65/7.05 Y1 @ 50.65/7.05 Y2 @ Y4)))))))) => 50.65/7.05 (((!!) @ ( 50.65/7.05 ^[Y4 : $i]: 50.65/7.05 (((Y0 @ 50.65/7.05 Y1 @ Y3 @ 50.65/7.05 Y4) | 50.65/7.05 (X2 @ 50.65/7.05 Y1 @ Y3 @ 50.65/7.05 Y4))))))))))))))))) & 50.65/7.05 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y2 : $i]: 50.65/7.05 (((Y0 @ Y1 @ Y1 @ Y2) | (X2 @ 50.65/7.05 Y1 @ Y1 @ Y2))))))))) & 50.65/7.05 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y2 : $i > $o]: 50.65/7.05 (((((!!) @ (^[Y3 : $i]: 50.65/7.05 (((Y0 @ Y1 @ 50.65/7.05 Y2 @ Y3) | 50.65/7.05 (X2 @ Y1 @ 50.65/7.05 Y2 @ Y3)))))) => 50.65/7.05 (((!!) @ (^[Y3 : $i]: 50.65/7.05 (((Y1 @ Y3) => 50.65/7.05 (Y2 @ Y3)))))))))))))))))))), 50.65/7.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])). 50.65/7.05 thf(zip_derived_cl2, plain, 50.65/7.05 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.05 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.05 ~ (((((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y2 : $i > $o]: 50.65/7.05 (((((((!!) @ (^[Y3 : $i]: 50.65/7.05 (((X2 @ Y1 @ 50.65/7.05 Y2 @ Y3) | 50.65/7.05 (X4 @ Y1 @ 50.65/7.05 Y2 @ Y3)))))) & 50.65/7.05 (((!!) @ (^[Y3 : $i]: 50.65/7.05 (((X2 @ Y0 @ 50.65/7.05 Y1 @ Y3) | 50.65/7.05 (X4 @ Y0 @ 50.65/7.05 Y1 @ Y3)))))))) => 50.65/7.05 (((!!) @ (^[Y3 : $i]: 50.65/7.05 (((X4 @ Y0 @ 50.65/7.05 Y2 @ Y3) | 50.65/7.05 (X2 @ Y0 @ 50.65/7.05 Y2 @ Y3))))))))))))))))) & 50.65/7.05 (((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y1 : $i]: 50.65/7.05 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.05 Y1))))))))) & 50.65/7.05 (((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.05 (((((!!) @ (^[Y2 : $i]: 50.65/7.05 (((X4 @ Y0 @ Y1 @ Y2) | 50.65/7.05 (X2 @ Y0 @ Y1 @ Y2)))))) => 50.65/7.05 (((!!) @ (^[Y2 : $i]: 50.65/7.05 (((Y0 @ Y2) => (Y1 @ Y2))))))))))))))))), 50.65/7.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 50.65/7.05 thf(zip_derived_cl3, plain, 50.65/7.05 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.05 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.05 (~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y2 : $i > $o]: 50.65/7.05 (((((((!!) @ (^[Y3 : $i]: 50.65/7.05 (((X2 @ Y1 @ 50.65/7.05 Y2 @ Y3) | 50.65/7.05 (X4 @ Y1 @ 50.65/7.05 Y2 @ Y3)))))) & 50.65/7.05 (((!!) @ (^[Y3 : $i]: 50.65/7.05 (((X2 @ Y0 @ 50.65/7.05 Y1 @ Y3) | 50.65/7.05 (X4 @ Y0 @ 50.65/7.05 Y1 @ Y3)))))))) => 50.65/7.05 (((!!) @ (^[Y3 : $i]: 50.65/7.05 (((X4 @ Y0 @ 50.65/7.05 Y2 @ Y3) | 50.65/7.05 (X2 @ Y0 @ 50.65/7.05 Y2 @ Y3))))))))))))))))) 50.65/7.05 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y1 : $i]: 50.65/7.05 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.05 Y1))))))))) 50.65/7.05 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.05 (((((!!) @ (^[Y2 : $i]: 50.65/7.05 (((X4 @ Y0 @ Y1 @ Y2) | 50.65/7.05 (X2 @ Y0 @ Y1 @ Y2)))))) => 50.65/7.05 (((!!) @ (^[Y2 : $i]: 50.65/7.05 (((Y0 @ Y2) => (Y1 @ Y2)))))))))))))))), 50.65/7.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2])). 50.65/7.05 thf(zip_derived_cl4, plain, 50.65/7.05 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.05 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.05 (~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.05 (((((((!!) @ (^[Y2 : $i]: 50.65/7.05 (((X2 @ Y0 @ Y1 @ Y2) | 50.65/7.05 (X4 @ Y0 @ Y1 @ Y2)))))) & 50.65/7.05 (((!!) @ (^[Y2 : $i]: 50.65/7.05 (((X2 @ 50.65/7.05 ('#sk71' @ X2 @ X4) @ 50.65/7.05 Y0 @ Y2) | (X4 @ 50.65/7.05 ('#sk71' @ X2 @ X4) @ 50.65/7.05 Y0 @ Y2)))))))) => 50.65/7.05 (((!!) @ (^[Y2 : $i]: 50.65/7.05 (((X4 @ 50.65/7.05 ('#sk71' @ X2 @ X4) @ Y1 @ 50.65/7.05 Y2) | (X2 @ 50.65/7.05 ('#sk71' @ X2 @ X4) @ Y1 @ 50.65/7.05 Y2)))))))))))))) 50.65/7.05 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.05 (((((!!) @ (^[Y2 : $i]: 50.65/7.05 (((X4 @ Y0 @ Y1 @ Y2) | 50.65/7.05 (X2 @ Y0 @ Y1 @ Y2)))))) => 50.65/7.05 (((!!) @ (^[Y2 : $i]: 50.65/7.05 (((Y0 @ Y2) => (Y1 @ Y2)))))))))))))) 50.65/7.05 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y1 : $i]: 50.65/7.05 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.05 Y1))))))))))), 50.65/7.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 50.65/7.05 thf(zip_derived_cl5, plain, 50.65/7.05 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.05 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.05 (~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((((((!!) @ (^[Y1 : $i]: 50.65/7.05 (((X2 @ ('#sk120' @ X2 @ X4) @ Y0 @ 50.65/7.05 Y1) | (X4 @ ('#sk120' @ X2 @ X4) @ 50.65/7.05 Y0 @ Y1)))))) & 50.65/7.05 (((!!) @ (^[Y1 : $i]: 50.65/7.05 (((X2 @ ('#sk71' @ X2 @ X4) @ 50.65/7.05 ('#sk120' @ X2 @ X4) @ Y1) | (X4 @ 50.65/7.05 ('#sk71' @ X2 @ X4) @ 50.65/7.05 ('#sk120' @ X2 @ X4) @ Y1)))))))) => 50.65/7.05 (((!!) @ (^[Y1 : $i]: 50.65/7.05 (((X4 @ ('#sk71' @ X2 @ X4) @ Y0 @ Y1) | 50.65/7.05 (X2 @ ('#sk71' @ X2 @ X4) @ Y0 @ Y1))))))))))) 50.65/7.05 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y1 : $i]: 50.65/7.05 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.05 Y1))))))))) 50.65/7.05 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.05 (((((!!) @ (^[Y2 : $i]: 50.65/7.05 (((X4 @ Y0 @ Y1 @ Y2) | 50.65/7.05 (X2 @ Y0 @ Y1 @ Y2)))))) => 50.65/7.05 (((!!) @ (^[Y2 : $i]: 50.65/7.05 (((Y0 @ Y2) => (Y1 @ Y2)))))))))))))))), 50.65/7.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])). 50.65/7.05 thf(zip_derived_cl6, plain, 50.65/7.05 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.05 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.05 (~ (((((((!!) @ (^[Y0 : $i]: 50.65/7.05 (((X2 @ ('#sk120' @ X2 @ X4) @ 50.65/7.05 ('#sk189' @ X2 @ X4) @ Y0) | (X4 @ 50.65/7.05 ('#sk120' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ Y0)))))) & 50.65/7.05 (((!!) @ (^[Y0 : $i]: 50.65/7.05 (((X2 @ ('#sk71' @ X2 @ X4) @ 50.65/7.05 ('#sk120' @ X2 @ X4) @ Y0) | (X4 @ 50.65/7.05 ('#sk71' @ X2 @ X4) @ ('#sk120' @ X2 @ X4) @ Y0)))))))) => 50.65/7.05 (((!!) @ (^[Y0 : $i]: 50.65/7.05 (((X4 @ ('#sk71' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ 50.65/7.05 Y0) | (X2 @ ('#sk71' @ X2 @ X4) @ 50.65/7.05 ('#sk189' @ X2 @ X4) @ Y0)))))))) 50.65/7.05 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.05 (((((!!) @ (^[Y2 : $i]: 50.65/7.05 (((X4 @ Y0 @ Y1 @ Y2) | 50.65/7.05 (X2 @ Y0 @ Y1 @ Y2)))))) => 50.65/7.05 (((!!) @ (^[Y2 : $i]: 50.65/7.05 (((Y0 @ Y2) => (Y1 @ Y2)))))))))))))) 50.65/7.05 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y1 : $i]: 50.65/7.05 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.05 Y1))))))))))), 50.65/7.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl5])). 50.65/7.05 thf(zip_derived_cl8, plain, 50.65/7.05 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.05 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.05 (~ (((!!) @ (^[Y0 : $i]: 50.65/7.05 (((X4 @ ('#sk71' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ 50.65/7.05 Y0) | (X2 @ ('#sk71' @ X2 @ X4) @ 50.65/7.05 ('#sk189' @ X2 @ X4) @ Y0)))))) 50.65/7.05 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y1 : $i]: 50.65/7.05 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.05 Y1))))))))) 50.65/7.05 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.05 (((((!!) @ (^[Y2 : $i]: 50.65/7.05 (((X4 @ Y0 @ Y1 @ Y2) | 50.65/7.05 (X2 @ Y0 @ Y1 @ Y2)))))) => 50.65/7.05 (((!!) @ (^[Y2 : $i]: 50.65/7.05 (((Y0 @ Y2) => (Y1 @ Y2)))))))))))))))), 50.65/7.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])). 50.65/7.05 thf(zip_derived_cl11, plain, 50.65/7.05 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.05 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.05 ( ('#form376' @ X2 @ X4) 50.65/7.05 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.05 (((!!) @ (^[Y1 : $i]: 50.65/7.05 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.05 Y1))))))))))), 50.65/7.05 define([status(thm)])). 50.65/7.05 thf(zip_derived_cl12, plain, 50.65/7.05 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.05 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.05 (~ (((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X4 @ ('#sk377' @ X2 @ X4) @ ('#sk377' @ X2 @ X4) @ 50.65/7.06 Y0) | (X2 @ ('#sk377' @ X2 @ X4) @ 50.65/7.06 ('#sk377' @ X2 @ X4) @ Y0)))))) 50.65/7.06 | ('#form376' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])). 50.65/7.06 thf(zip_derived_cl19, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ (((X4 @ ('#sk377' @ X2 @ X4) @ ('#sk377' @ X2 @ X4) @ 50.65/7.06 ('#sk522' @ X2 @ X4)) | (X2 @ ('#sk377' @ X2 @ X4) @ 50.65/7.06 ('#sk377' @ X2 @ X4) @ ('#sk522' @ X2 @ X4)))) 50.65/7.06 | ('#form376' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])). 50.65/7.06 thf(zip_derived_cl27, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ (X2 @ ('#sk377' @ X2 @ X4) @ ('#sk377' @ X2 @ X4) @ 50.65/7.06 ('#sk522' @ X2 @ X4)) 50.65/7.06 | ('#form376' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl19])). 50.65/7.06 thf(zip_derived_cl8, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ (((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X4 @ ('#sk71' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ 50.65/7.06 Y0) | (X2 @ ('#sk71' @ X2 @ X4) @ 50.65/7.06 ('#sk189' @ X2 @ X4) @ Y0)))))) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.06 Y1))))))))) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.06 (((((!!) @ (^[Y2 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y1 @ Y2) | 50.65/7.06 (X2 @ Y0 @ Y1 @ Y2)))))) => 50.65/7.06 (((!!) @ (^[Y2 : $i]: 50.65/7.06 (((Y0 @ Y2) => (Y1 @ Y2)))))))))))))))), 50.65/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])). 50.65/7.06 thf(zip_derived_cl11, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 ( ('#form376' @ X2 @ X4) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.06 Y1))))))))))), 50.65/7.06 define([status(thm)])). 50.65/7.06 thf(zip_derived_cl13, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ ('#form376' @ X2 @ X4) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.06 (((((!!) @ (^[Y2 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y1 @ Y2) | 50.65/7.06 (X2 @ Y0 @ Y1 @ Y2)))))) => 50.65/7.06 (((!!) @ (^[Y2 : $i]: 50.65/7.06 (((Y0 @ Y2) => (Y1 @ Y2)))))))))))))) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X4 @ ('#sk71' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ 50.65/7.06 Y0) | (X2 @ ('#sk71' @ X2 @ X4) @ 50.65/7.06 ('#sk189' @ X2 @ X4) @ Y0)))))))), 50.65/7.06 inference('renaming', [status(thm)], [zip_derived_cl8, zip_derived_cl11])). 50.65/7.06 thf(zip_derived_cl7, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 ( (((((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X2 @ ('#sk120' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ 50.65/7.06 Y0) | (X4 @ ('#sk120' @ X2 @ X4) @ 50.65/7.06 ('#sk189' @ X2 @ X4) @ Y0)))))) & 50.65/7.06 (((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X2 @ ('#sk71' @ X2 @ X4) @ ('#sk120' @ X2 @ X4) @ 50.65/7.06 Y0) | (X4 @ ('#sk71' @ X2 @ X4) @ 50.65/7.06 ('#sk120' @ X2 @ X4) @ Y0)))))))) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.06 Y1))))))))) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.06 (((((!!) @ (^[Y2 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y1 @ Y2) | 50.65/7.06 (X2 @ Y0 @ Y1 @ Y2)))))) => 50.65/7.06 (((!!) @ (^[Y2 : $i]: 50.65/7.06 (((Y0 @ Y2) => (Y1 @ Y2)))))))))))))))), 50.65/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])). 50.65/7.06 thf(zip_derived_cl9, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 ( (((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X2 @ ('#sk120' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ 50.65/7.06 Y0) | (X4 @ ('#sk120' @ X2 @ X4) @ 50.65/7.06 ('#sk189' @ X2 @ X4) @ Y0)))))) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.06 (((((!!) @ (^[Y2 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y1 @ Y2) | 50.65/7.06 (X2 @ Y0 @ Y1 @ Y2)))))) => 50.65/7.06 (((!!) @ (^[Y2 : $i]: 50.65/7.06 (((Y0 @ Y2) => (Y1 @ Y2)))))))))))))) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.06 Y1))))))))))), 50.65/7.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl7])). 50.65/7.06 thf(zip_derived_cl14, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 ( ('#form414' @ X2 @ X4) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.06 (((((!!) @ (^[Y2 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y1 @ Y2) | 50.65/7.06 (X2 @ Y0 @ Y1 @ Y2)))))) => 50.65/7.06 (((!!) @ (^[Y2 : $i]: 50.65/7.06 (((Y0 @ Y2) => (Y1 @ Y2)))))))))))))))), 50.65/7.06 define([status(thm)])). 50.65/7.06 thf(zip_derived_cl18, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ ('#form414' @ 50.65/7.06 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: (X2 @ Y0 @ Y1 @ Y2)) @ 50.65/7.06 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: (X4 @ Y0 @ Y1 @ Y2))) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X4 @ ('#sk71' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ 50.65/7.06 Y0) | (X2 @ ('#sk71' @ X2 @ X4) @ 50.65/7.06 ('#sk189' @ X2 @ X4) @ Y0)))))) 50.65/7.06 | ~ ('#form376' @ X2 @ X4))), 50.65/7.06 inference('renaming', [status(thm)], [zip_derived_cl13, zip_derived_cl14])). 50.65/7.06 thf(zip_derived_cl24, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ ('#form414' @ X2 @ X4) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X4 @ ('#sk71' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ 50.65/7.06 Y0) | (X2 @ ('#sk71' @ X2 @ X4) @ 50.65/7.06 ('#sk189' @ X2 @ X4) @ Y0)))))) 50.65/7.06 | ~ ('#form376' @ X2 @ X4))), 50.65/7.06 inference('ho_norm', [status(thm)], [zip_derived_cl18])). 50.65/7.06 thf(zip_derived_cl25, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ (((X4 @ ('#sk71' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ 50.65/7.06 ('#sk736' @ X2 @ X4)) | (X2 @ ('#sk71' @ X2 @ X4) @ 50.65/7.06 ('#sk189' @ X2 @ X4) @ ('#sk736' @ X2 @ X4)))) 50.65/7.06 | ~ ('#form376' @ X2 @ X4) 50.65/7.06 | ~ ('#form414' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl24])). 50.65/7.06 thf(zip_derived_cl33, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ (X2 @ ('#sk71' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ 50.65/7.06 ('#sk736' @ X2 @ X4)) 50.65/7.06 | ~ ('#form414' @ X2 @ X4) 50.65/7.06 | ~ ('#form376' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl25])). 50.65/7.06 thf(zip_derived_cl71, plain, 50.65/7.06 (![X0 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X1 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ (X1 @ ('#sk377' @ X1 @ X0) @ ('#sk377' @ X1 @ X0) @ 50.65/7.06 ('#sk522' @ X1 @ X0)) 50.65/7.06 | ~ ('#form414' @ X1 @ X0) 50.65/7.06 | ~ (X1 @ ('#sk71' @ X1 @ X0) @ ('#sk189' @ X1 @ X0) @ 50.65/7.06 ('#sk736' @ X1 @ X0)))), 50.65/7.06 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl33])). 50.65/7.06 thf(zip_derived_cl9, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 ( (((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X2 @ ('#sk120' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ 50.65/7.06 Y0) | (X4 @ ('#sk120' @ X2 @ X4) @ 50.65/7.06 ('#sk189' @ X2 @ X4) @ Y0)))))) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.06 (((((!!) @ (^[Y2 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y1 @ Y2) | 50.65/7.06 (X2 @ Y0 @ Y1 @ Y2)))))) => 50.65/7.06 (((!!) @ (^[Y2 : $i]: 50.65/7.06 (((Y0 @ Y2) => (Y1 @ Y2)))))))))))))) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.06 Y1))))))))))), 50.65/7.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl7])). 50.65/7.06 thf(zip_derived_cl14, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 ( ('#form414' @ X2 @ X4) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.06 (((((!!) @ (^[Y2 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y1 @ Y2) | 50.65/7.06 (X2 @ Y0 @ Y1 @ Y2)))))) => 50.65/7.06 (((!!) @ (^[Y2 : $i]: 50.65/7.06 (((Y0 @ Y2) => (Y1 @ Y2)))))))))))))))), 50.65/7.06 define([status(thm)])). 50.65/7.06 thf(zip_derived_cl16, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ ('#form414' @ X2 @ X4) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.06 Y1))))))))) 50.65/7.06 | (((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X2 @ ('#sk120' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ 50.65/7.06 Y0) | (X4 @ ('#sk120' @ X2 @ X4) @ 50.65/7.06 ('#sk189' @ X2 @ X4) @ Y0)))))))), 50.65/7.06 inference('renaming', [status(thm)], [zip_derived_cl9, zip_derived_cl14])). 50.65/7.06 thf(zip_derived_cl11, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 ( ('#form376' @ X2 @ X4) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.06 Y1))))))))))), 50.65/7.06 define([status(thm)])). 50.65/7.06 thf(zip_derived_cl20, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ ('#form376' @ X2 @ X4) 50.65/7.06 | (((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X2 @ ('#sk120' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ 50.65/7.06 Y0) | (X4 @ ('#sk120' @ X2 @ X4) @ 50.65/7.06 ('#sk189' @ X2 @ X4) @ Y0)))))) 50.65/7.06 | ~ ('#form414' @ X2 @ X4))), 50.65/7.06 inference('renaming', [status(thm)], [zip_derived_cl16, zip_derived_cl11])). 50.65/7.06 thf(zip_derived_cl28, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 50.65/7.06 ( (((X2 @ ('#sk120' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ X6) | (X4 @ 50.65/7.06 ('#sk120' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ X6))) 50.65/7.06 | ~ ('#form414' @ X2 @ X4) 50.65/7.06 | ~ ('#form376' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])). 50.65/7.06 thf(zip_derived_cl34, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 50.65/7.06 ( (X2 @ ('#sk120' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ X6) 50.65/7.06 | (X4 @ ('#sk120' @ X2 @ X4) @ ('#sk189' @ X2 @ X4) @ X6) 50.65/7.06 | ~ ('#form376' @ X2 @ X4) 50.65/7.06 | ~ ('#form414' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl28])). 50.65/7.06 thf(zip_derived_cl14, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 ( ('#form414' @ X2 @ X4) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.06 (((((!!) @ (^[Y2 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y1 @ Y2) | 50.65/7.06 (X2 @ Y0 @ Y1 @ Y2)))))) => 50.65/7.06 (((!!) @ (^[Y2 : $i]: 50.65/7.06 (((Y0 @ Y2) => (Y1 @ Y2)))))))))))))))), 50.65/7.06 define([status(thm)])). 50.65/7.06 thf(zip_derived_cl15, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((((!!) @ (^[Y1 : $i]: 50.65/7.06 (((X4 @ ('#sk415' @ X2 @ X4) @ Y0 @ Y1) | 50.65/7.06 (X2 @ ('#sk415' @ X2 @ X4) @ Y0 @ Y1)))))) => 50.65/7.06 (((!!) @ (^[Y1 : $i]: 50.65/7.06 ((('#sk415' @ X2 @ X4 @ Y1) => (Y0 @ Y1))))))))))) 50.65/7.06 | ('#form414' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl14])). 50.65/7.06 thf(zip_derived_cl21, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ (((((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X4 @ ('#sk415' @ X2 @ X4) @ 50.65/7.06 ('#sk587' @ X2 @ X4) @ Y0) | (X2 @ 50.65/7.06 ('#sk415' @ X2 @ X4) @ ('#sk587' @ X2 @ X4) @ Y0)))))) => 50.65/7.06 (((!!) @ (^[Y0 : $i]: 50.65/7.06 ((('#sk415' @ X2 @ X4 @ Y0) => ('#sk587' @ X2 @ X4 @ 50.65/7.06 Y0)))))))) 50.65/7.06 | ('#form414' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl15])). 50.65/7.06 thf(zip_derived_cl30, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ (((!!) @ (^[Y0 : $i]: 50.65/7.06 ((('#sk415' @ X2 @ X4 @ Y0) => ('#sk587' @ X2 @ X4 @ 50.65/7.06 Y0)))))) 50.65/7.06 | ('#form414' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 50.65/7.06 thf(zip_derived_cl36, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ ((('#sk415' @ X2 @ X4 @ ('#sk1081' @ X2 @ X4)) => ('#sk587' @ X2 @ 50.65/7.06 X4 @ ('#sk1081' @ X2 @ X4)))) 50.65/7.06 | ('#form414' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl30])). 50.65/7.06 thf(zip_derived_cl39, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 ( ('#sk415' @ X2 @ X4 @ ('#sk1081' @ X2 @ X4)) 50.65/7.06 | ('#form414' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 50.65/7.06 thf(zip_derived_cl40, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ ('#sk587' @ X2 @ X4 @ ('#sk1081' @ X2 @ X4)) 50.65/7.06 | ('#form414' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 50.65/7.06 thf(zip_derived_cl27, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ (X2 @ ('#sk377' @ X2 @ X4) @ ('#sk377' @ X2 @ X4) @ 50.65/7.06 ('#sk522' @ X2 @ X4)) 50.65/7.06 | ('#form376' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl19])). 50.65/7.06 thf(zip_derived_cl10, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 ( (((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X2 @ ('#sk71' @ X2 @ X4) @ ('#sk120' @ X2 @ X4) @ 50.65/7.06 Y0) | (X4 @ ('#sk71' @ X2 @ X4) @ 50.65/7.06 ('#sk120' @ X2 @ X4) @ Y0)))))) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.06 (((((!!) @ (^[Y2 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y1 @ Y2) | 50.65/7.06 (X2 @ Y0 @ Y1 @ Y2)))))) => 50.65/7.06 (((!!) @ (^[Y2 : $i]: 50.65/7.06 (((Y0 @ Y2) => (Y1 @ Y2)))))))))))))) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.06 Y1))))))))))), 50.65/7.06 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl7])). 50.65/7.06 thf(zip_derived_cl14, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 ( ('#form414' @ X2 @ X4) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i > $o]: 50.65/7.06 (((((!!) @ (^[Y2 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y1 @ Y2) | 50.65/7.06 (X2 @ Y0 @ Y1 @ Y2)))))) => 50.65/7.06 (((!!) @ (^[Y2 : $i]: 50.65/7.06 (((Y0 @ Y2) => (Y1 @ Y2)))))))))))))))), 50.65/7.06 define([status(thm)])). 50.65/7.06 thf(zip_derived_cl17, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ ('#form414' @ 50.65/7.06 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: (X2 @ Y0 @ Y1 @ Y2)) @ 50.65/7.06 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: (X4 @ Y0 @ Y1 @ Y2))) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.06 Y1))))))))) 50.65/7.06 | (((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X2 @ ('#sk71' @ X2 @ X4) @ ('#sk120' @ X2 @ X4) @ 50.65/7.06 Y0) | (X4 @ ('#sk71' @ X2 @ X4) @ 50.65/7.06 ('#sk120' @ X2 @ X4) @ Y0)))))))), 50.65/7.06 inference('renaming', [status(thm)], [zip_derived_cl10, zip_derived_cl14])). 50.65/7.06 thf(zip_derived_cl22, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ ('#form414' @ X2 @ X4) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.06 Y1))))))))) 50.65/7.06 | (((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X2 @ ('#sk71' @ X2 @ X4) @ ('#sk120' @ X2 @ X4) @ 50.65/7.06 Y0) | (X4 @ ('#sk71' @ X2 @ X4) @ 50.65/7.06 ('#sk120' @ X2 @ X4) @ Y0)))))))), 50.65/7.06 inference('ho_norm', [status(thm)], [zip_derived_cl17])). 50.65/7.06 thf(zip_derived_cl11, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 ( ('#form376' @ X2 @ X4) 50.65/7.06 | ~ (((!!) @ (^[Y0 : $i > $o]: 50.65/7.06 (((!!) @ (^[Y1 : $i]: 50.65/7.06 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 50.65/7.06 Y1))))))))))), 50.65/7.06 define([status(thm)])). 50.65/7.06 thf(zip_derived_cl23, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 (~ ('#form376' @ X2 @ X4) 50.65/7.06 | (((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X2 @ ('#sk71' @ X2 @ X4) @ ('#sk120' @ X2 @ X4) @ 50.65/7.06 Y0) | (X4 @ ('#sk71' @ X2 @ X4) @ 50.65/7.06 ('#sk120' @ X2 @ X4) @ Y0)))))) 50.65/7.06 | ~ ('#form414' @ X2 @ X4))), 50.65/7.06 inference('renaming', [status(thm)], [zip_derived_cl22, zip_derived_cl11])). 50.65/7.06 thf(zip_derived_cl31, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 50.65/7.06 ( (((X2 @ ('#sk71' @ X2 @ X4) @ ('#sk120' @ X2 @ X4) @ X6) | (X4 @ 50.65/7.06 ('#sk71' @ X2 @ X4) @ ('#sk120' @ X2 @ X4) @ X6))) 50.65/7.06 | ~ ('#form414' @ X2 @ X4) 50.65/7.06 | ~ ('#form376' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])). 50.65/7.06 thf(zip_derived_cl37, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 50.65/7.06 ( (X2 @ ('#sk71' @ X2 @ X4) @ ('#sk120' @ X2 @ X4) @ X6) 50.65/7.06 | (X4 @ ('#sk71' @ X2 @ X4) @ ('#sk120' @ X2 @ X4) @ X6) 50.65/7.06 | ~ ('#form376' @ X2 @ X4) 50.65/7.06 | ~ ('#form414' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl31])). 50.65/7.06 thf(zip_derived_cl29, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 ( (((!!) @ (^[Y0 : $i]: 50.65/7.06 (((X4 @ ('#sk415' @ X2 @ X4) @ ('#sk587' @ X2 @ X4) @ 50.65/7.06 Y0) | (X2 @ ('#sk415' @ X2 @ X4) @ 50.65/7.06 ('#sk587' @ X2 @ X4) @ Y0)))))) 50.65/7.06 | ('#form414' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 50.65/7.06 thf(zip_derived_cl35, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 50.65/7.06 ( (((X4 @ ('#sk415' @ X2 @ X4) @ ('#sk587' @ X2 @ X4) @ X6) | (X2 @ 50.65/7.06 ('#sk415' @ X2 @ X4) @ ('#sk587' @ X2 @ X4) @ X6))) 50.65/7.06 | ('#form414' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])). 50.65/7.06 thf(zip_derived_cl38, plain, 50.65/7.06 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 50.65/7.06 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 50.65/7.06 ( (X4 @ ('#sk415' @ X2 @ X4) @ ('#sk587' @ X2 @ X4) @ X6) 50.65/7.06 | (X2 @ ('#sk415' @ X2 @ X4) @ ('#sk587' @ X2 @ X4) @ X6) 50.65/7.06 | ('#form414' @ X2 @ X4))), 50.65/7.06 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl35])). 50.65/7.06 thf(zip_derived_cl657, plain, 50.65/7.06 (![X0 : $i, X1 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 ( ((^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 50.65/7.06 ('#sk415' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 50.65/7.06 ('#sk587' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 50.65/7.06 X0) 50.65/7.06 | (X1 @ 50.65/7.06 ('#sk415' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 50.65/7.06 ('#sk587' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 50.65/7.06 X0) 50.65/7.06 | ('#form414' @ X1 @ 50.65/7.06 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))))), 50.65/7.06 inference('false_elim', [status(thm)], [zip_derived_cl38])). 50.65/7.06 thf(zip_derived_cl659, plain, 50.65/7.06 (![X0 : $i, X1 : ($i > $o) > ($i > $o) > $i > $o]: 50.65/7.06 ( (X1 @ 50.65/7.06 ('#sk415' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 50.65/7.06 ('#sk587' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 50.65/7.06 X0) 50.65/7.06 | ('#form414' @ X1 @ 50.65/7.06 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))))), 50.65/7.06 inference('ho_norm', [status(thm)], [zip_derived_cl657])). 50.65/7.06 thf(zip_derived_cl2393, plain, ($false), 50.65/7.06 inference('eprover', [status(thm)], 50.65/7.06 [zip_derived_cl71, zip_derived_cl34, zip_derived_cl39, 50.65/7.06 zip_derived_cl40, zip_derived_cl27, zip_derived_cl37, 50.65/7.06 zip_derived_cl659])). 50.65/7.06 50.65/7.06 % SZS output end Refutation 50.65/7.06 50.65/7.06 50.65/7.06 % Terminating... 51.37/7.12 % Runner terminated. 51.37/7.12 % Zipperpin 1.5 exiting 51.37/7.12 EOF