0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WbJtoQdsKV true 0.10/0.31 % Computer : n025.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Tue Aug 9 03:15:26 EDT 2022 0.10/0.31 % CPUTime : 0.10/0.31 % Running portfolio for 960 s 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.10/0.31 % Number of cores: 8 0.10/0.32 % Python version: Python 3.6.8 0.10/0.32 % Running in HO mode 0.47/0.62 % Total configuration time : 828 0.47/0.62 % Estimated wc time : 1656 0.47/0.62 % Estimated cpu time (8 cpus) : 207.0 0.47/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.47/0.69 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.47/0.70 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.47/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.47/0.70 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.47/0.71 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.47/0.71 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.47/0.71 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 60.75/8.22 % Solved by lams/20_acsne_simpl.sh. 60.75/8.22 % done 11 iterations in 7.442s 60.75/8.22 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 60.75/8.22 % SZS output start Refutation 60.75/8.22 thf('#sk334_type', type, '#sk334': (($i > $o) > ($i > $o) > $i > $o) > 60.75/8.22 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 60.75/8.22 thf('#sk850_type', type, '#sk850': (($i > $o) > ($i > $o) > $i > $o) > 60.75/8.22 (($i > $o) > ($i > $o) > $i > $o) > $i). 60.75/8.22 thf('#sk150_type', type, '#sk150': (($i > $o) > ($i > $o) > $i > $o) > 60.75/8.22 (($i > $o) > ($i > $o) > $i > $o) > $i). 60.75/8.22 thf('#sk105_type', type, '#sk105': (($i > $o) > ($i > $o) > $i > $o) > 60.75/8.22 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 60.75/8.22 thf('#sk241_type', type, '#sk241': (($i > $o) > ($i > $o) > $i > $o) > 60.75/8.22 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 60.75/8.22 thf('#sk467_type', type, '#sk467': (($i > $o) > ($i > $o) > $i > $o) > 60.75/8.22 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 60.75/8.22 thf(cTHM120C_pme, conjecture, 60.75/8.22 (?[Xr_28:( ( $i > $o ) > ( $i > $o ) > $i > $o ), 60.75/8.22 Xr_27:( ( $i > $o ) > ( $i > $o ) > $i > $o )]: 60.75/8.22 ( ( ~( ![Xw_2:$i]: 60.75/8.22 ( ( Xr_28 @ 60.75/8.22 ( ^[Xx:$i]: ( $true ) ) @ ( ^[Xx:$i]: ( $false ) ) @ Xw_2 ) | 60.75/8.22 ( Xr_27 @ 60.75/8.22 ( ^[Xx:$i]: ( $true ) ) @ ( ^[Xx:$i]: ( $false ) ) @ Xw_2 ) ) ) ) & 60.75/8.22 ( ![Xx:( $i > $o ),Xw_2:$i]: 60.75/8.22 ( ( Xr_27 @ Xx @ Xx @ Xw_2 ) | ( Xr_28 @ Xx @ Xx @ Xw_2 ) ) ) & 60.75/8.22 ( ![Xx:( $i > $o ),Xy:( $i > $o ),Xz:( $i > $o )]: 60.75/8.22 ( ( ( ![Xw_2:$i]: 60.75/8.22 ( ( Xr_28 @ Xy @ Xz @ Xw_2 ) | ( Xr_27 @ Xy @ Xz @ Xw_2 ) ) ) & 60.75/8.22 ( ![Xw_2:$i]: 60.75/8.22 ( ( Xr_28 @ Xx @ Xy @ Xw_2 ) | ( Xr_27 @ Xx @ Xy @ Xw_2 ) ) ) ) => 60.75/8.22 ( ![Xw_2:$i]: 60.75/8.22 ( ( Xr_28 @ Xx @ Xz @ Xw_2 ) | ( Xr_27 @ Xx @ Xz @ Xw_2 ) ) ) ) ) ))). 60.75/8.22 thf(zf_stmt_0, negated_conjecture, 60.75/8.22 (~( ?[Xr_28:( ( $i > $o ) > ( $i > $o ) > $i > $o ), 60.75/8.22 Xr_27:( ( $i > $o ) > ( $i > $o ) > $i > $o )]: 60.75/8.22 ( ( ~( ![Xw_2:$i]: 60.75/8.22 ( ( Xr_28 @ 60.75/8.22 ( ^[Xx:$i]: ( $true ) ) @ ( ^[Xx:$i]: ( $false ) ) @ Xw_2 ) | 60.75/8.22 ( Xr_27 @ 60.75/8.22 ( ^[Xx:$i]: ( $true ) ) @ ( ^[Xx:$i]: ( $false ) ) @ Xw_2 ) ) ) ) & 60.75/8.22 ( ![Xx:( $i > $o ),Xw_2:$i]: 60.75/8.22 ( ( Xr_27 @ Xx @ Xx @ Xw_2 ) | ( Xr_28 @ Xx @ Xx @ Xw_2 ) ) ) & 60.75/8.22 ( ![Xx:( $i > $o ),Xy:( $i > $o ),Xz:( $i > $o )]: 60.75/8.22 ( ( ( ![Xw_2:$i]: 60.75/8.22 ( ( Xr_28 @ Xy @ Xz @ Xw_2 ) | ( Xr_27 @ Xy @ Xz @ Xw_2 ) ) ) & 60.75/8.22 ( ![Xw_2:$i]: 60.75/8.22 ( ( Xr_28 @ Xx @ Xy @ Xw_2 ) | ( Xr_27 @ Xx @ Xy @ Xw_2 ) ) ) ) => 60.75/8.22 ( ![Xw_2:$i]: 60.75/8.22 ( ( Xr_28 @ Xx @ Xz @ Xw_2 ) | ( Xr_27 @ Xx @ Xz @ Xw_2 ) ) ) ) ) ) )), 60.75/8.22 inference('cnf.neg', [status(esa)], [cTHM120C_pme])). 60.75/8.22 thf(zip_derived_cl0, plain, 60.75/8.22 (~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]: 60.75/8.22 (((??) @ (^[Y1 : ($i > $o) > ($i > $o) > $i > $o]: 60.75/8.22 (((((~) @ (((!!) @ (^[Y2 : $i]: 60.75/8.22 (((Y0 @ 60.75/8.22 (^[Y3 : $i]: ($true)) @ 60.75/8.22 (^[Y3 : $i]: ($false)) @ 60.75/8.22 Y2) | (Y1 @ 60.75/8.22 (^[Y3 : $i]: ($true)) @ 60.75/8.22 (^[Y3 : $i]: ($false)) @ 60.75/8.22 Y2)))))))) & 60.75/8.22 (((!!) @ (^[Y2 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y3 : $i]: 60.75/8.22 (((Y1 @ Y2 @ Y2 @ 60.75/8.22 Y3) | (Y0 @ Y2 @ 60.75/8.22 Y2 @ Y3))))))))) & 60.75/8.22 (((!!) @ (^[Y2 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y3 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y4 : $i > $o]: 60.75/8.22 (( 60.75/8.22 (( 60.75/8.22 (( 60.75/8.22 (!!) @ ( 60.75/8.22 ^[Y5 : $i]: 60.75/8.22 (( 60.75/8.22 (Y0 @ 60.75/8.22 Y3 @ 60.75/8.22 Y4 @ 60.75/8.22 Y5) | 60.75/8.22 (Y1 @ 60.75/8.22 Y3 @ 60.75/8.22 Y4 @ Y5)))))) & 60.75/8.22 (( 60.75/8.22 (!!) @ ( 60.75/8.22 ^[Y5 : $i]: 60.75/8.22 (( 60.75/8.22 (Y0 @ 60.75/8.22 Y2 @ 60.75/8.22 Y3 @ 60.75/8.22 Y5) | 60.75/8.22 (Y1 @ 60.75/8.22 Y2 @ 60.75/8.22 Y3 @ Y5)))))))) => 60.75/8.22 (( 60.75/8.22 (!!) @ ( 60.75/8.22 ^[Y5 : $i]: 60.75/8.22 (( 60.75/8.22 (Y0 @ 60.75/8.22 Y2 @ 60.75/8.22 Y4 @ 60.75/8.22 Y5) | 60.75/8.22 (Y1 @ 60.75/8.22 Y2 @ 60.75/8.22 Y4 @ Y5)))))))))))))))))))))))))), 60.75/8.22 inference('cnf', [status(esa)], [zf_stmt_0])). 60.75/8.22 thf(zip_derived_cl1, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o]: 60.75/8.22 ~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]: 60.75/8.22 (((((~) @ (((!!) @ (^[Y1 : $i]: 60.75/8.22 (((X2 @ (^[Y2 : $i]: ($true)) @ 60.75/8.22 (^[Y2 : $i]: ($false)) @ Y1) | 60.75/8.22 (Y0 @ (^[Y2 : $i]: ($true)) @ 60.75/8.22 (^[Y2 : $i]: ($false)) @ Y1)))))))) & 60.75/8.22 (((!!) @ (^[Y1 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y2 : $i]: 60.75/8.22 (((Y0 @ Y1 @ Y1 @ Y2) | (X2 @ 60.75/8.22 Y1 @ Y1 @ Y2))))))))) & 60.75/8.22 (((!!) @ (^[Y1 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y2 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y3 : $i > $o]: 60.75/8.22 (((((((!!) @ ( 60.75/8.22 ^[Y4 : $i]: 60.75/8.22 (( 60.75/8.22 (X2 @ 60.75/8.22 Y2 @ 60.75/8.22 Y3 @ 60.75/8.22 Y4) | 60.75/8.22 (Y0 @ 60.75/8.22 Y2 @ 60.75/8.22 Y3 @ Y4)))))) & 60.75/8.22 (((!!) @ ( 60.75/8.22 ^[Y4 : $i]: 60.75/8.22 (( 60.75/8.22 (X2 @ 60.75/8.22 Y1 @ 60.75/8.22 Y2 @ 60.75/8.22 Y4) | 60.75/8.22 (Y0 @ 60.75/8.22 Y1 @ 60.75/8.22 Y2 @ Y4)))))))) => 60.75/8.22 (((!!) @ ( 60.75/8.22 ^[Y4 : $i]: 60.75/8.22 (((X2 @ 60.75/8.22 Y1 @ Y3 @ 60.75/8.22 Y4) | 60.75/8.22 (Y0 @ 60.75/8.22 Y1 @ Y3 @ 60.75/8.22 Y4))))))))))))))))))))))), 60.75/8.22 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])). 60.75/8.22 thf(zip_derived_cl2, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o]: 60.75/8.22 ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 60.75/8.22 (((X2 @ (^[Y1 : $i]: ($true)) @ 60.75/8.22 (^[Y1 : $i]: ($false)) @ Y0) | (X4 @ 60.75/8.22 (^[Y1 : $i]: ($true)) @ 60.75/8.22 (^[Y1 : $i]: ($false)) @ Y0)))))))) & 60.75/8.22 (((!!) @ (^[Y0 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y1 : $i]: 60.75/8.22 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 60.75/8.22 Y1))))))))) & 60.75/8.22 (((!!) @ (^[Y0 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y1 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y2 : $i > $o]: 60.75/8.22 (((((((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y1 @ 60.75/8.22 Y2 @ Y3) | 60.75/8.22 (X4 @ Y1 @ 60.75/8.22 Y2 @ Y3)))))) & 60.75/8.22 (((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y0 @ 60.75/8.22 Y1 @ Y3) | 60.75/8.22 (X4 @ Y0 @ 60.75/8.22 Y1 @ Y3)))))))) => 60.75/8.22 (((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y0 @ 60.75/8.22 Y2 @ Y3) | 60.75/8.22 (X4 @ Y0 @ 60.75/8.22 Y2 @ Y3)))))))))))))))))))), 60.75/8.22 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 60.75/8.22 thf(zip_derived_cl3, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o]: 60.75/8.22 ( (((!!) @ (^[Y0 : $i]: 60.75/8.22 (((X2 @ (^[Y1 : $i]: ($true)) @ 60.75/8.22 (^[Y1 : $i]: ($false)) @ Y0) | (X4 @ 60.75/8.22 (^[Y1 : $i]: ($true)) @ (^[Y1 : $i]: ($false)) @ Y0)))))) 60.75/8.22 | ~ (((!!) @ (^[Y0 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y1 : $i]: 60.75/8.22 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 60.75/8.22 Y1))))))))) 60.75/8.22 | ~ (((!!) @ (^[Y0 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y1 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y2 : $i > $o]: 60.75/8.22 (((((((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y1 @ 60.75/8.22 Y2 @ Y3) | 60.75/8.22 (X4 @ Y1 @ 60.75/8.22 Y2 @ Y3)))))) & 60.75/8.22 (((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y0 @ 60.75/8.22 Y1 @ Y3) | 60.75/8.22 (X4 @ Y0 @ 60.75/8.22 Y1 @ Y3)))))))) => 60.75/8.22 (((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y0 @ 60.75/8.22 Y2 @ Y3) | 60.75/8.22 (X4 @ Y0 @ 60.75/8.22 Y2 @ Y3))))))))))))))))))), 60.75/8.22 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2])). 60.75/8.22 thf(zip_derived_cl4, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 60.75/8.22 ( (((X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) | 60.75/8.22 (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))) 60.75/8.22 | ~ (((!!) @ (^[Y0 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y1 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y2 : $i > $o]: 60.75/8.22 (((((((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y1 @ 60.75/8.22 Y2 @ Y3) | 60.75/8.22 (X4 @ Y1 @ 60.75/8.22 Y2 @ Y3)))))) & 60.75/8.22 (((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y0 @ 60.75/8.22 Y1 @ Y3) | 60.75/8.22 (X4 @ Y0 @ 60.75/8.22 Y1 @ Y3)))))))) => 60.75/8.22 (((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y0 @ 60.75/8.22 Y2 @ Y3) | 60.75/8.22 (X4 @ Y0 @ 60.75/8.22 Y2 @ Y3))))))))))))))))) 60.75/8.22 | ~ (((!!) @ (^[Y0 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y1 : $i]: 60.75/8.22 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 60.75/8.22 Y1))))))))))), 60.75/8.22 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 60.75/8.22 thf(zip_derived_cl5, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 60.75/8.22 ( (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | ~ (((!!) @ (^[Y0 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y1 : $i]: 60.75/8.22 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 60.75/8.22 Y1))))))))) 60.75/8.22 | ~ (((!!) @ (^[Y0 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y1 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y2 : $i > $o]: 60.75/8.22 (((((((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y1 @ 60.75/8.22 Y2 @ Y3) | 60.75/8.22 (X4 @ Y1 @ 60.75/8.22 Y2 @ Y3)))))) & 60.75/8.22 (((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y0 @ 60.75/8.22 Y1 @ Y3) | 60.75/8.22 (X4 @ Y0 @ 60.75/8.22 Y1 @ Y3)))))))) => 60.75/8.22 (((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y0 @ 60.75/8.22 Y2 @ Y3) | 60.75/8.22 (X4 @ Y0 @ 60.75/8.22 Y2 @ Y3))))))))))))))))))), 60.75/8.22 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 60.75/8.22 thf(zip_derived_cl6, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 60.75/8.22 (~ (((!!) @ (^[Y0 : $i]: 60.75/8.22 (((X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 Y0) | (X2 @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk105' @ X2 @ X4) @ Y0)))))) 60.75/8.22 | ~ (((!!) @ (^[Y0 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y1 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y2 : $i > $o]: 60.75/8.22 (((((((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y1 @ 60.75/8.22 Y2 @ Y3) | 60.75/8.22 (X4 @ Y1 @ 60.75/8.22 Y2 @ Y3)))))) & 60.75/8.22 (((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y0 @ 60.75/8.22 Y1 @ Y3) | 60.75/8.22 (X4 @ Y0 @ 60.75/8.22 Y1 @ Y3)))))))) => 60.75/8.22 (((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y0 @ 60.75/8.22 Y2 @ Y3) | 60.75/8.22 (X4 @ Y0 @ 60.75/8.22 Y2 @ Y3))))))))))))))))) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 60.75/8.22 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl5])). 60.75/8.22 thf(zip_derived_cl7, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 60.75/8.22 (~ (((X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk150' @ X2 @ X4)) | (X2 @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk105' @ X2 @ X4) @ ('#sk150' @ X2 @ X4)))) 60.75/8.22 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | ~ (((!!) @ (^[Y0 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y1 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y2 : $i > $o]: 60.75/8.22 (((((((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y1 @ 60.75/8.22 Y2 @ Y3) | 60.75/8.22 (X4 @ Y1 @ 60.75/8.22 Y2 @ Y3)))))) & 60.75/8.22 (((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y0 @ 60.75/8.22 Y1 @ Y3) | 60.75/8.22 (X4 @ Y0 @ 60.75/8.22 Y1 @ Y3)))))))) => 60.75/8.22 (((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y0 @ 60.75/8.22 Y2 @ Y3) | 60.75/8.22 (X4 @ Y0 @ 60.75/8.22 Y2 @ Y3))))))))))))))))))), 60.75/8.22 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 60.75/8.22 thf(zip_derived_cl8, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 60.75/8.22 (~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk150' @ X2 @ X4)) 60.75/8.22 | ~ (((!!) @ (^[Y0 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y1 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y2 : $i > $o]: 60.75/8.22 (((((((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y1 @ 60.75/8.22 Y2 @ Y3) | 60.75/8.22 (X4 @ Y1 @ 60.75/8.22 Y2 @ Y3)))))) & 60.75/8.22 (((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y0 @ 60.75/8.22 Y1 @ Y3) | 60.75/8.22 (X4 @ Y0 @ 60.75/8.22 Y1 @ Y3)))))))) => 60.75/8.22 (((!!) @ (^[Y3 : $i]: 60.75/8.22 (((X2 @ Y0 @ 60.75/8.22 Y2 @ Y3) | 60.75/8.22 (X4 @ Y0 @ 60.75/8.22 Y2 @ Y3))))))))))))))))) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 60.75/8.22 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl7])). 60.75/8.22 thf(zip_derived_cl10, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 60.75/8.22 (~ (((!!) @ (^[Y0 : $i > $o]: 60.75/8.22 (((!!) @ (^[Y1 : $i > $o]: 60.75/8.22 (((((((!!) @ (^[Y2 : $i]: 60.75/8.22 (((X2 @ Y0 @ Y1 @ Y2) | 60.75/8.22 (X4 @ Y0 @ Y1 @ Y2)))))) & 60.75/8.22 (((!!) @ (^[Y2 : $i]: 60.75/8.22 (((X2 @ 60.75/8.22 ('#sk241' @ X2 @ X4) @ 60.75/8.22 Y0 @ Y2) | (X4 @ 60.75/8.22 ('#sk241' @ X2 @ X4) @ 60.75/8.22 Y0 @ Y2)))))))) => 60.75/8.22 (((!!) @ (^[Y2 : $i]: 60.75/8.22 (((X2 @ 60.75/8.22 ('#sk241' @ X2 @ X4) @ 60.75/8.22 Y1 @ Y2) | (X4 @ 60.75/8.22 ('#sk241' @ X2 @ X4) @ 60.75/8.22 Y1 @ Y2)))))))))))))) 60.75/8.22 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk150' @ X2 @ X4)))), 60.75/8.22 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])). 60.75/8.22 thf(zip_derived_cl12, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 60.75/8.22 (~ (((!!) @ (^[Y0 : $i > $o]: 60.75/8.22 (((((((!!) @ (^[Y1 : $i]: 60.75/8.22 (((X2 @ ('#sk334' @ X2 @ X4) @ Y0 @ 60.75/8.22 Y1) | (X4 @ ('#sk334' @ X2 @ X4) @ 60.75/8.22 Y0 @ Y1)))))) & 60.75/8.22 (((!!) @ (^[Y1 : $i]: 60.75/8.22 (((X2 @ ('#sk241' @ X2 @ X4) @ 60.75/8.22 ('#sk334' @ X2 @ X4) @ Y1) | (X4 @ 60.75/8.22 ('#sk241' @ X2 @ X4) @ 60.75/8.22 ('#sk334' @ X2 @ X4) @ Y1)))))))) => 60.75/8.22 (((!!) @ (^[Y1 : $i]: 60.75/8.22 (((X2 @ ('#sk241' @ X2 @ X4) @ Y0 @ Y1) | 60.75/8.22 (X4 @ ('#sk241' @ X2 @ X4) @ Y0 @ Y1))))))))))) 60.75/8.22 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk150' @ X2 @ X4)) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 60.75/8.22 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl10])). 60.75/8.22 thf(zip_derived_cl14, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 60.75/8.22 (~ (((((((!!) @ (^[Y0 : $i]: 60.75/8.22 (((X2 @ ('#sk334' @ X2 @ X4) @ 60.75/8.22 ('#sk467' @ X2 @ X4) @ Y0) | (X4 @ 60.75/8.22 ('#sk334' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ Y0)))))) & 60.75/8.22 (((!!) @ (^[Y0 : $i]: 60.75/8.22 (((X2 @ ('#sk241' @ X2 @ X4) @ 60.75/8.22 ('#sk334' @ X2 @ X4) @ Y0) | (X4 @ 60.75/8.22 ('#sk241' @ X2 @ X4) @ ('#sk334' @ X2 @ X4) @ Y0)))))))) => 60.75/8.22 (((!!) @ (^[Y0 : $i]: 60.75/8.22 (((X2 @ ('#sk241' @ X2 @ X4) @ 60.75/8.22 ('#sk467' @ X2 @ X4) @ Y0) | (X4 @ 60.75/8.22 ('#sk241' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ Y0)))))))) 60.75/8.22 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk150' @ X2 @ X4)))), 60.75/8.22 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])). 60.75/8.22 thf(zip_derived_cl16, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 60.75/8.22 ( (((((!!) @ (^[Y0 : $i]: 60.75/8.22 (((X2 @ ('#sk334' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ 60.75/8.22 Y0) | (X4 @ ('#sk334' @ X2 @ X4) @ 60.75/8.22 ('#sk467' @ X2 @ X4) @ Y0)))))) & 60.75/8.22 (((!!) @ (^[Y0 : $i]: 60.75/8.22 (((X2 @ ('#sk241' @ X2 @ X4) @ ('#sk334' @ X2 @ X4) @ 60.75/8.22 Y0) | (X4 @ ('#sk241' @ X2 @ X4) @ 60.75/8.22 ('#sk334' @ X2 @ X4) @ Y0)))))))) 60.75/8.22 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk150' @ X2 @ X4)) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 60.75/8.22 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])). 60.75/8.22 thf(zip_derived_cl21, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 60.75/8.22 ( (((!!) @ (^[Y0 : $i]: 60.75/8.22 (((X2 @ ('#sk241' @ X2 @ X4) @ ('#sk334' @ X2 @ X4) @ 60.75/8.22 Y0) | (X4 @ ('#sk241' @ X2 @ X4) @ 60.75/8.22 ('#sk334' @ X2 @ X4) @ Y0)))))) 60.75/8.22 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk150' @ X2 @ X4)))), 60.75/8.22 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl16])). 60.75/8.22 thf(zip_derived_cl27, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 60.75/8.22 ( (((X2 @ ('#sk241' @ X2 @ X4) @ ('#sk334' @ X2 @ X4) @ X8) | (X4 @ 60.75/8.22 ('#sk241' @ X2 @ X4) @ ('#sk334' @ X2 @ X4) @ X8))) 60.75/8.22 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk150' @ X2 @ X4)) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 60.75/8.22 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl21])). 60.75/8.22 thf(zip_derived_cl35, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 60.75/8.22 ( (X2 @ ('#sk241' @ X2 @ X4) @ ('#sk334' @ X2 @ X4) @ X8) 60.75/8.22 | (X4 @ ('#sk241' @ X2 @ X4) @ ('#sk334' @ X2 @ X4) @ X8) 60.75/8.22 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk150' @ X2 @ X4)))), 60.75/8.22 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl27])). 60.75/8.22 thf(zip_derived_cl20, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 60.75/8.22 ( (((!!) @ (^[Y0 : $i]: 60.75/8.22 (((X2 @ ('#sk334' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ 60.75/8.22 Y0) | (X4 @ ('#sk334' @ X2 @ X4) @ 60.75/8.22 ('#sk467' @ X2 @ X4) @ Y0)))))) 60.75/8.22 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk150' @ X2 @ X4)))), 60.75/8.22 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl16])). 60.75/8.22 thf(zip_derived_cl26, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 60.75/8.22 ( (((X2 @ ('#sk334' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ X8) | (X4 @ 60.75/8.22 ('#sk334' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ X8))) 60.75/8.22 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk150' @ X2 @ X4)) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 60.75/8.22 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])). 60.75/8.22 thf(zip_derived_cl34, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 60.75/8.22 ( (X2 @ ('#sk334' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ X8) 60.75/8.22 | (X4 @ ('#sk334' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ X8) 60.75/8.22 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk150' @ X2 @ X4)))), 60.75/8.22 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl26])). 60.75/8.22 thf(zip_derived_cl2728, plain, 60.75/8.22 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i, X2 : $i]: 60.75/8.22 (~ (X0 @ 60.75/8.22 ('#sk105' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 60.75/8.22 ('#sk105' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 60.75/8.22 ('#sk150' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0)) 60.75/8.22 | (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 60.75/8.22 | ((^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 60.75/8.22 (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 60.75/8.22 | (X0 @ 60.75/8.22 ('#sk334' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 60.75/8.22 ('#sk467' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 60.75/8.22 X2) 60.75/8.22 | ((^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 60.75/8.22 ('#sk334' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 60.75/8.22 ('#sk467' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 60.75/8.22 X2))), 60.75/8.22 inference('eq_fact', [status(thm)], [zip_derived_cl34])). 60.75/8.22 thf(zip_derived_cl2800, plain, 60.75/8.22 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i, X2 : $i]: 60.75/8.22 (~ (X0 @ 60.75/8.22 ('#sk105' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 60.75/8.22 ('#sk105' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 60.75/8.22 ('#sk150' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0)) 60.75/8.22 | (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 60.75/8.22 | (X0 @ 60.75/8.22 ('#sk334' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 60.75/8.22 ('#sk467' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 60.75/8.22 X2))), 60.75/8.22 inference('ho_norm', [status(thm)], [zip_derived_cl2728])). 60.75/8.22 thf(zip_derived_cl17, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 60.75/8.22 (~ (((!!) @ (^[Y0 : $i]: 60.75/8.22 (((X2 @ ('#sk241' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ 60.75/8.22 Y0) | (X4 @ ('#sk241' @ X2 @ X4) @ 60.75/8.22 ('#sk467' @ X2 @ X4) @ Y0)))))) 60.75/8.22 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk150' @ X2 @ X4)) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 60.75/8.22 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])). 60.75/8.22 thf(zip_derived_cl22, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 60.75/8.22 (~ (((X2 @ ('#sk241' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ 60.75/8.22 ('#sk850' @ X2 @ X4)) | (X4 @ ('#sk241' @ X2 @ X4) @ 60.75/8.22 ('#sk467' @ X2 @ X4) @ ('#sk850' @ X2 @ X4)))) 60.75/8.22 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk150' @ X2 @ X4)))), 60.75/8.22 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl17])). 60.75/8.22 thf(zip_derived_cl29, plain, 60.75/8.22 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 60.75/8.22 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 60.75/8.22 (~ (X4 @ ('#sk241' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ 60.75/8.22 ('#sk850' @ X2 @ X4)) 60.75/8.22 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 60.75/8.22 ('#sk150' @ X2 @ X4)) 60.75/8.22 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 60.75/8.22 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 60.75/8.22 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl22])). 60.75/8.22 thf(zip_derived_cl394, plain, 60.75/8.22 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i]: 60.75/8.22 (~ (X0 @ 60.75/8.22 ('#sk241' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 60.75/8.22 ('#sk467' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 60.75/8.22 ('#sk850' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0)) 60.75/8.22 | ((^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 60.75/8.22 (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 60.75/8.22 | (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 60.75/8.22 | ~ (X0 @ 60.75/8.22 ('#sk105' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 60.75/8.22 X0) @ 60.75/8.22 ('#sk105' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 60.75/8.22 X0) @ 60.75/8.22 ('#sk150' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 60.75/8.22 X0)))), 60.75/8.22 inference('eq_fact', [status(thm)], [zip_derived_cl29])). 60.75/8.22 thf(zip_derived_cl461, plain, 60.75/8.22 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i]: 60.75/8.22 (~ (X0 @ 60.75/8.22 ('#sk241' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 60.75/8.22 ('#sk467' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 60.75/8.22 ('#sk850' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0)) 60.75/8.22 | (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 60.75/8.22 | ~ (X0 @ 60.75/8.22 ('#sk105' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 60.75/8.22 X0) @ 60.75/8.22 ('#sk105' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 60.75/8.22 X0) @ 60.75/8.22 ('#sk150' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 60.75/8.22 X0)))), 60.75/8.22 inference('ho_norm', [status(thm)], [zip_derived_cl394])). 60.75/8.22 thf(zip_derived_cl3503, plain, ($false), 60.75/8.22 inference('eprover', [status(thm)], 60.75/8.22 [zip_derived_cl35, zip_derived_cl2800, zip_derived_cl461])). 60.75/8.22 60.75/8.22 % SZS output end Refutation 60.75/8.22 60.75/8.22 60.75/8.22 % Terminating... 61.02/8.37 % Runner terminated. 61.02/8.38 % Zipperpin 1.5 exiting 61.02/8.38 EOF