0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.K1CFaSllhG true 0.13/0.34 % Computer : n031.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 : 1920 0.13/0.34 % WCLimit : 240 0.13/0.34 % DateTime : Wed Jul 30 02:39:19 EDT 2025 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 1920 s 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.13/0.34 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.48/0.62 % Total configuration time : 828 0.48/0.62 % Estimated wc time : 1656 0.48/0.62 % Estimated cpu time (8 cpus) : 207.0 0.55/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.55/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 51.41/7.10 % Solved by lams/20_acsne_simpl.sh. 51.41/7.10 % done 43 iterations in 6.306s 51.41/7.10 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 51.41/7.10 % SZS output start Refutation 51.41/7.10 thf('#sk442_type', type, '#sk442': (($i > $o) > ($i > $o) > $i > $o) > 51.41/7.10 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 51.41/7.10 thf('#l_lift110330_type', type, '#l_lift110330': $i > $o). 51.41/7.10 thf('#sk349_type', type, '#sk349': (($i > $o) > ($i > $o) > $i > $o) > 51.41/7.10 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 51.41/7.10 thf('#sk575_type', type, '#sk575': (($i > $o) > ($i > $o) > $i > $o) > 51.41/7.10 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 51.41/7.10 thf('#sk108_type', type, '#sk108': (($i > $o) > ($i > $o) > $i > $o) > 51.41/7.10 (($i > $o) > ($i > $o) > $i > $o) > $i). 51.41/7.10 thf('#l_lift110329_type', type, '#l_lift110329': $i > $o). 51.41/7.10 thf('#l_lift110331_type', type, '#l_lift110331': ($i > $o) > ($i > $o) > $i > $o). 51.41/7.10 thf('#sk61_type', type, '#sk61': (($i > $o) > ($i > $o) > $i > $o) > 51.41/7.10 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 51.41/7.10 thf('#sk958_type', type, '#sk958': (($i > $o) > ($i > $o) > $i > $o) > 51.41/7.10 (($i > $o) > ($i > $o) > $i > $o) > $i). 51.41/7.10 thf(cTHM120D_pme, conjecture, 51.41/7.10 (?[Xr_28:( ( $i > $o ) > ( $i > $o ) > $i > $o ), 51.41/7.10 Xr_27:( ( $i > $o ) > ( $i > $o ) > $i > $o )]: 51.41/7.10 ( ( ![Xx:( $i > $o ),Xw_2:$i]: 51.41/7.10 ( ( Xr_28 @ Xx @ Xx @ Xw_2 ) | ( Xr_27 @ Xx @ Xx @ Xw_2 ) ) ) & 51.41/7.10 ( ![Xx:( $i > $o ),Xy:( $i > $o ),Xz:( $i > $o )]: 51.41/7.10 ( ( ( ![Xw_2:$i]: 51.41/7.10 ( ( Xr_28 @ Xy @ Xz @ Xw_2 ) | ( Xr_27 @ Xy @ Xz @ Xw_2 ) ) ) & 51.41/7.10 ( ![Xw_2:$i]: 51.41/7.10 ( ( Xr_28 @ Xx @ Xy @ Xw_2 ) | ( Xr_27 @ Xx @ Xy @ Xw_2 ) ) ) ) => 51.41/7.10 ( ![Xw_2:$i]: 51.41/7.10 ( ( Xr_27 @ Xx @ Xz @ Xw_2 ) | ( Xr_28 @ Xx @ Xz @ Xw_2 ) ) ) ) ) & 51.41/7.10 ( ~( ![Xw_2:$i]: 51.41/7.10 ( ( Xr_27 @ 51.41/7.10 ( ^[Xx:$i]: ( $true ) ) @ ( ^[Xx:$i]: ( $false ) ) @ Xw_2 ) | 51.41/7.10 ( Xr_28 @ 51.41/7.10 ( ^[Xx:$i]: ( $true ) ) @ ( ^[Xx:$i]: ( $false ) ) @ Xw_2 ) ) ) ) ))). 51.41/7.10 thf(zf_stmt_0, negated_conjecture, 51.41/7.10 (~( ?[Xr_28:( ( $i > $o ) > ( $i > $o ) > $i > $o ), 51.41/7.10 Xr_27:( ( $i > $o ) > ( $i > $o ) > $i > $o )]: 51.41/7.10 ( ( ![Xx:( $i > $o ),Xw_2:$i]: 51.41/7.10 ( ( Xr_28 @ Xx @ Xx @ Xw_2 ) | ( Xr_27 @ Xx @ Xx @ Xw_2 ) ) ) & 51.41/7.10 ( ![Xx:( $i > $o ),Xy:( $i > $o ),Xz:( $i > $o )]: 51.41/7.10 ( ( ( ![Xw_2:$i]: 51.41/7.10 ( ( Xr_28 @ Xy @ Xz @ Xw_2 ) | ( Xr_27 @ Xy @ Xz @ Xw_2 ) ) ) & 51.41/7.10 ( ![Xw_2:$i]: 51.41/7.10 ( ( Xr_28 @ Xx @ Xy @ Xw_2 ) | ( Xr_27 @ Xx @ Xy @ Xw_2 ) ) ) ) => 51.41/7.10 ( ![Xw_2:$i]: 51.41/7.10 ( ( Xr_27 @ Xx @ Xz @ Xw_2 ) | ( Xr_28 @ Xx @ Xz @ Xw_2 ) ) ) ) ) & 51.41/7.10 ( ~( ![Xw_2:$i]: 51.41/7.10 ( ( Xr_27 @ 51.41/7.10 ( ^[Xx:$i]: ( $true ) ) @ ( ^[Xx:$i]: ( $false ) ) @ Xw_2 ) | 51.41/7.10 ( Xr_28 @ 51.41/7.10 ( ^[Xx:$i]: ( $true ) ) @ ( ^[Xx:$i]: ( $false ) ) @ Xw_2 ) ) ) ) ) )), 51.41/7.10 inference('cnf.neg', [status(esa)], [cTHM120D_pme])). 51.41/7.10 thf(zip_derived_cl0, plain, 51.41/7.10 (~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]: 51.41/7.10 (((??) @ (^[Y1 : ($i > $o) > ($i > $o) > $i > $o]: 51.41/7.10 (((((!!) @ (^[Y2 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y3 : $i]: 51.41/7.10 (((Y0 @ Y2 @ Y2 @ 51.41/7.10 Y3) | (Y1 @ Y2 @ 51.41/7.10 Y2 @ Y3))))))))) & 51.41/7.10 (((!!) @ (^[Y2 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y3 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y4 : $i > $o]: 51.41/7.10 (( 51.41/7.10 (( 51.41/7.10 (( 51.41/7.10 (!!) @ ( 51.41/7.10 ^[Y5 : $i]: 51.41/7.10 (( 51.41/7.10 (Y0 @ 51.41/7.10 Y3 @ 51.41/7.10 Y4 @ 51.41/7.10 Y5) | 51.41/7.10 (Y1 @ 51.41/7.10 Y3 @ 51.41/7.10 Y4 @ Y5)))))) & 51.41/7.10 (( 51.41/7.10 (!!) @ ( 51.41/7.10 ^[Y5 : $i]: 51.41/7.10 (( 51.41/7.10 (Y0 @ 51.41/7.10 Y2 @ 51.41/7.10 Y3 @ 51.41/7.10 Y5) | 51.41/7.10 (Y1 @ 51.41/7.10 Y2 @ 51.41/7.10 Y3 @ Y5)))))))) => 51.41/7.10 (( 51.41/7.10 (!!) @ ( 51.41/7.10 ^[Y5 : $i]: 51.41/7.10 (( 51.41/7.10 (Y1 @ 51.41/7.10 Y2 @ 51.41/7.10 Y4 @ 51.41/7.10 Y5) | 51.41/7.10 (Y0 @ 51.41/7.10 Y2 @ 51.41/7.10 Y4 @ Y5))))))))))))))))) & 51.41/7.10 (((~) @ (((!!) @ (^[Y2 : $i]: 51.41/7.10 (((Y1 @ 51.41/7.10 (^[Y3 : $i]: ($true)) @ 51.41/7.10 (^[Y3 : $i]: ($false)) @ 51.41/7.10 Y2) | (Y0 @ 51.41/7.10 (^[Y3 : $i]: ($true)) @ 51.41/7.10 (^[Y3 : $i]: ($false)) @ 51.41/7.10 Y2))))))))))))))))), 51.41/7.10 inference('cnf', [status(esa)], [zf_stmt_0])). 51.41/7.10 thf(zip_derived_cl1, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o]: 51.41/7.10 ~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]: 51.41/7.10 (((((!!) @ (^[Y1 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y2 : $i]: 51.41/7.10 (((X2 @ Y1 @ Y1 @ Y2) | (Y0 @ 51.41/7.10 Y1 @ Y1 @ Y2))))))))) & 51.41/7.10 (((!!) @ (^[Y1 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y2 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y3 : $i > $o]: 51.41/7.10 (((((((!!) @ ( 51.41/7.10 ^[Y4 : $i]: 51.41/7.10 (( 51.41/7.10 (X2 @ 51.41/7.10 Y2 @ 51.41/7.10 Y3 @ 51.41/7.10 Y4) | 51.41/7.10 (Y0 @ 51.41/7.10 Y2 @ 51.41/7.10 Y3 @ Y4)))))) & 51.41/7.10 (((!!) @ ( 51.41/7.10 ^[Y4 : $i]: 51.41/7.10 (( 51.41/7.10 (X2 @ 51.41/7.10 Y1 @ 51.41/7.10 Y2 @ 51.41/7.10 Y4) | 51.41/7.10 (Y0 @ 51.41/7.10 Y1 @ 51.41/7.10 Y2 @ Y4)))))))) => 51.41/7.10 (((!!) @ ( 51.41/7.10 ^[Y4 : $i]: 51.41/7.10 (((Y0 @ 51.41/7.10 Y1 @ Y3 @ 51.41/7.10 Y4) | 51.41/7.10 (X2 @ 51.41/7.10 Y1 @ Y3 @ 51.41/7.10 Y4))))))))))))))))) & 51.41/7.10 (((~) @ (((!!) @ (^[Y1 : $i]: 51.41/7.10 (((Y0 @ (^[Y2 : $i]: ($true)) @ 51.41/7.10 (^[Y2 : $i]: ($false)) @ Y1) | 51.41/7.10 (X2 @ (^[Y2 : $i]: ($true)) @ 51.41/7.10 (^[Y2 : $i]: ($false)) @ Y1)))))))))))))), 51.41/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])). 51.41/7.10 thf(zip_derived_cl2, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o]: 51.41/7.10 ~ (((((!!) @ (^[Y0 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y1 : $i]: 51.41/7.10 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 51.41/7.10 Y1))))))))) & 51.41/7.10 (((!!) @ (^[Y0 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y1 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y2 : $i > $o]: 51.41/7.10 (((((((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X2 @ Y1 @ 51.41/7.10 Y2 @ Y3) | 51.41/7.10 (X4 @ Y1 @ 51.41/7.10 Y2 @ Y3)))))) & 51.41/7.10 (((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X2 @ Y0 @ 51.41/7.10 Y1 @ Y3) | 51.41/7.10 (X4 @ Y0 @ 51.41/7.10 Y1 @ Y3)))))))) => 51.41/7.10 (((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X4 @ Y0 @ 51.41/7.10 Y2 @ Y3) | 51.41/7.10 (X2 @ Y0 @ 51.41/7.10 Y2 @ Y3))))))))))))))))) & 51.41/7.10 (((~) @ (((!!) @ (^[Y0 : $i]: 51.41/7.10 (((X4 @ (^[Y1 : $i]: ($true)) @ 51.41/7.10 (^[Y1 : $i]: ($false)) @ Y0) | (X2 @ 51.41/7.10 (^[Y1 : $i]: ($true)) @ 51.41/7.10 (^[Y1 : $i]: ($false)) @ Y0))))))))))), 51.41/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 51.41/7.10 thf(zip_derived_cl3, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o]: 51.41/7.10 (~ (((!!) @ (^[Y0 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y1 : $i]: 51.41/7.10 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ Y1))))))))) 51.41/7.10 | ~ (((!!) @ (^[Y0 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y1 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y2 : $i > $o]: 51.41/7.10 (((((((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X2 @ Y1 @ 51.41/7.10 Y2 @ Y3) | 51.41/7.10 (X4 @ Y1 @ 51.41/7.10 Y2 @ Y3)))))) & 51.41/7.10 (((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X2 @ Y0 @ 51.41/7.10 Y1 @ Y3) | 51.41/7.10 (X4 @ Y0 @ 51.41/7.10 Y1 @ Y3)))))))) => 51.41/7.10 (((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X4 @ Y0 @ 51.41/7.10 Y2 @ Y3) | 51.41/7.10 (X2 @ Y0 @ 51.41/7.10 Y2 @ Y3))))))))))))))))) 51.41/7.10 | (((!!) @ (^[Y0 : $i]: 51.41/7.10 (((X4 @ (^[Y1 : $i]: ($true)) @ 51.41/7.10 (^[Y1 : $i]: ($false)) @ Y0) | (X2 @ 51.41/7.10 (^[Y1 : $i]: ($true)) @ (^[Y1 : $i]: ($false)) @ Y0)))))))), 51.41/7.10 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2])). 51.41/7.10 thf(zip_derived_cl4, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o]: 51.41/7.10 (~ (((!!) @ (^[Y0 : $i]: 51.41/7.10 (((X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 Y0) | (X4 @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk61' @ X2 @ X4) @ Y0)))))) 51.41/7.10 | (((!!) @ (^[Y0 : $i]: 51.41/7.10 (((X4 @ (^[Y1 : $i]: ($true)) @ 51.41/7.10 (^[Y1 : $i]: ($false)) @ Y0) | (X2 @ 51.41/7.10 (^[Y1 : $i]: ($true)) @ (^[Y1 : $i]: ($false)) @ Y0)))))) 51.41/7.10 | ~ (((!!) @ (^[Y0 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y1 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y2 : $i > $o]: 51.41/7.10 (((((((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X2 @ Y1 @ 51.41/7.10 Y2 @ Y3) | 51.41/7.10 (X4 @ Y1 @ 51.41/7.10 Y2 @ Y3)))))) & 51.41/7.10 (((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X2 @ Y0 @ 51.41/7.10 Y1 @ Y3) | 51.41/7.10 (X4 @ Y0 @ 51.41/7.10 Y1 @ Y3)))))))) => 51.41/7.10 (((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X4 @ Y0 @ 51.41/7.10 Y2 @ Y3) | 51.41/7.10 (X2 @ Y0 @ 51.41/7.10 Y2 @ Y3))))))))))))))))))), 51.41/7.10 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 51.41/7.10 thf(zip_derived_cl5, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o]: 51.41/7.10 (~ (((X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)) | (X4 @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk61' @ X2 @ X4) @ ('#sk108' @ X2 @ X4)))) 51.41/7.10 | ~ (((!!) @ (^[Y0 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y1 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y2 : $i > $o]: 51.41/7.10 (((((((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X2 @ Y1 @ 51.41/7.10 Y2 @ Y3) | 51.41/7.10 (X4 @ Y1 @ 51.41/7.10 Y2 @ Y3)))))) & 51.41/7.10 (((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X2 @ Y0 @ 51.41/7.10 Y1 @ Y3) | 51.41/7.10 (X4 @ Y0 @ 51.41/7.10 Y1 @ Y3)))))))) => 51.41/7.10 (((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X4 @ Y0 @ 51.41/7.10 Y2 @ Y3) | 51.41/7.10 (X2 @ Y0 @ 51.41/7.10 Y2 @ Y3))))))))))))))))) 51.41/7.10 | (((!!) @ (^[Y0 : $i]: 51.41/7.10 (((X4 @ (^[Y1 : $i]: ($true)) @ 51.41/7.10 (^[Y1 : $i]: ($false)) @ Y0) | (X2 @ 51.41/7.10 (^[Y1 : $i]: ($true)) @ (^[Y1 : $i]: ($false)) @ Y0)))))))), 51.41/7.10 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])). 51.41/7.10 thf(zip_derived_cl6, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o]: 51.41/7.10 (~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)) 51.41/7.10 | (((!!) @ (^[Y0 : $i]: 51.41/7.10 (((X4 @ (^[Y1 : $i]: ($true)) @ 51.41/7.10 (^[Y1 : $i]: ($false)) @ Y0) | (X2 @ 51.41/7.10 (^[Y1 : $i]: ($true)) @ (^[Y1 : $i]: ($false)) @ Y0)))))) 51.41/7.10 | ~ (((!!) @ (^[Y0 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y1 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y2 : $i > $o]: 51.41/7.10 (((((((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X2 @ Y1 @ 51.41/7.10 Y2 @ Y3) | 51.41/7.10 (X4 @ Y1 @ 51.41/7.10 Y2 @ Y3)))))) & 51.41/7.10 (((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X2 @ Y0 @ 51.41/7.10 Y1 @ Y3) | 51.41/7.10 (X4 @ Y0 @ 51.41/7.10 Y1 @ Y3)))))))) => 51.41/7.10 (((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X4 @ Y0 @ 51.41/7.10 Y2 @ Y3) | 51.41/7.10 (X2 @ Y0 @ 51.41/7.10 Y2 @ Y3))))))))))))))))))), 51.41/7.10 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl5])). 51.41/7.10 thf(zip_derived_cl8, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.41/7.10 ( (((X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) | 51.41/7.10 (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))) 51.41/7.10 | ~ (((!!) @ (^[Y0 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y1 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y2 : $i > $o]: 51.41/7.10 (((((((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X2 @ Y1 @ 51.41/7.10 Y2 @ Y3) | 51.41/7.10 (X4 @ Y1 @ 51.41/7.10 Y2 @ Y3)))))) & 51.41/7.10 (((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X2 @ Y0 @ 51.41/7.10 Y1 @ Y3) | 51.41/7.10 (X4 @ Y0 @ 51.41/7.10 Y1 @ Y3)))))))) => 51.41/7.10 (((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X4 @ Y0 @ 51.41/7.10 Y2 @ Y3) | 51.41/7.10 (X2 @ Y0 @ 51.41/7.10 Y2 @ Y3))))))))))))))))) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)))), 51.41/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 51.41/7.10 thf(zip_derived_cl10, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.41/7.10 ( (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)) 51.41/7.10 | ~ (((!!) @ (^[Y0 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y1 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y2 : $i > $o]: 51.41/7.10 (((((((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X2 @ Y1 @ 51.41/7.10 Y2 @ Y3) | 51.41/7.10 (X4 @ Y1 @ 51.41/7.10 Y2 @ Y3)))))) & 51.41/7.10 (((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X2 @ Y0 @ 51.41/7.10 Y1 @ Y3) | 51.41/7.10 (X4 @ Y0 @ 51.41/7.10 Y1 @ Y3)))))))) => 51.41/7.10 (((!!) @ (^[Y3 : $i]: 51.41/7.10 (((X4 @ Y0 @ 51.41/7.10 Y2 @ Y3) | 51.41/7.10 (X2 @ Y0 @ 51.41/7.10 Y2 @ Y3))))))))))))))))))), 51.41/7.10 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl8])). 51.41/7.10 thf(zip_derived_cl12, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.41/7.10 (~ (((!!) @ (^[Y0 : $i > $o]: 51.41/7.10 (((!!) @ (^[Y1 : $i > $o]: 51.41/7.10 (((((((!!) @ (^[Y2 : $i]: 51.41/7.10 (((X2 @ Y0 @ Y1 @ Y2) | 51.41/7.10 (X4 @ Y0 @ Y1 @ Y2)))))) & 51.41/7.10 (((!!) @ (^[Y2 : $i]: 51.41/7.10 (((X2 @ 51.41/7.10 ('#sk349' @ X2 @ X4) @ 51.41/7.10 Y0 @ Y2) | (X4 @ 51.41/7.10 ('#sk349' @ X2 @ X4) @ 51.41/7.10 Y0 @ Y2)))))))) => 51.41/7.10 (((!!) @ (^[Y2 : $i]: 51.41/7.10 (((X4 @ 51.41/7.10 ('#sk349' @ X2 @ X4) @ 51.41/7.10 Y1 @ Y2) | (X2 @ 51.41/7.10 ('#sk349' @ X2 @ X4) @ 51.41/7.10 Y1 @ Y2)))))))))))))) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 51.41/7.10 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl10])). 51.41/7.10 thf(zip_derived_cl14, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.41/7.10 (~ (((!!) @ (^[Y0 : $i > $o]: 51.41/7.10 (((((((!!) @ (^[Y1 : $i]: 51.41/7.10 (((X2 @ ('#sk442' @ X2 @ X4) @ Y0 @ 51.41/7.10 Y1) | (X4 @ ('#sk442' @ X2 @ X4) @ 51.41/7.10 Y0 @ Y1)))))) & 51.41/7.10 (((!!) @ (^[Y1 : $i]: 51.41/7.10 (((X2 @ ('#sk349' @ X2 @ X4) @ 51.41/7.10 ('#sk442' @ X2 @ X4) @ Y1) | (X4 @ 51.41/7.10 ('#sk349' @ X2 @ X4) @ 51.41/7.10 ('#sk442' @ X2 @ X4) @ Y1)))))))) => 51.41/7.10 (((!!) @ (^[Y1 : $i]: 51.41/7.10 (((X4 @ ('#sk349' @ X2 @ X4) @ Y0 @ Y1) | 51.41/7.10 (X2 @ ('#sk349' @ X2 @ X4) @ Y0 @ Y1))))))))))) 51.41/7.10 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)))), 51.41/7.10 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])). 51.41/7.10 thf(zip_derived_cl16, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.41/7.10 (~ (((((((!!) @ (^[Y0 : $i]: 51.41/7.10 (((X2 @ ('#sk442' @ X2 @ X4) @ 51.41/7.10 ('#sk575' @ X2 @ X4) @ Y0) | (X4 @ 51.41/7.10 ('#sk442' @ X2 @ X4) @ ('#sk575' @ X2 @ X4) @ Y0)))))) & 51.41/7.10 (((!!) @ (^[Y0 : $i]: 51.41/7.10 (((X2 @ ('#sk349' @ X2 @ X4) @ 51.41/7.10 ('#sk442' @ X2 @ X4) @ Y0) | (X4 @ 51.41/7.10 ('#sk349' @ X2 @ X4) @ ('#sk442' @ X2 @ X4) @ Y0)))))))) => 51.41/7.10 (((!!) @ (^[Y0 : $i]: 51.41/7.10 (((X4 @ ('#sk349' @ X2 @ X4) @ 51.41/7.10 ('#sk575' @ X2 @ X4) @ Y0) | (X2 @ 51.41/7.10 ('#sk349' @ X2 @ X4) @ ('#sk575' @ X2 @ X4) @ Y0)))))))) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 51.41/7.10 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl14])). 51.41/7.10 thf(zip_derived_cl19, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.41/7.10 (~ (((!!) @ (^[Y0 : $i]: 51.41/7.10 (((X4 @ ('#sk349' @ X2 @ X4) @ ('#sk575' @ X2 @ X4) @ 51.41/7.10 Y0) | (X2 @ ('#sk349' @ X2 @ X4) @ 51.41/7.10 ('#sk575' @ X2 @ X4) @ Y0)))))) 51.41/7.10 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)))), 51.41/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 51.41/7.10 thf(zip_derived_cl24, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.41/7.10 (~ (((X4 @ ('#sk349' @ X2 @ X4) @ ('#sk575' @ X2 @ X4) @ 51.41/7.10 ('#sk958' @ X2 @ X4)) | (X2 @ ('#sk349' @ X2 @ X4) @ 51.41/7.10 ('#sk575' @ X2 @ X4) @ ('#sk958' @ X2 @ X4)))) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 51.41/7.10 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 51.41/7.10 thf(zip_derived_cl30, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.41/7.10 (~ (X4 @ ('#sk349' @ X2 @ X4) @ ('#sk575' @ X2 @ X4) @ 51.41/7.10 ('#sk958' @ X2 @ X4)) 51.41/7.10 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)))), 51.41/7.10 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])). 51.41/7.10 thf(zip_derived_cl7017, plain, (![X7 : $i]: ('#l_lift110329' @ X7)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl18, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.41/7.10 ( (((((!!) @ (^[Y0 : $i]: 51.41/7.10 (((X2 @ ('#sk442' @ X2 @ X4) @ ('#sk575' @ X2 @ X4) @ 51.41/7.10 Y0) | (X4 @ ('#sk442' @ X2 @ X4) @ 51.41/7.10 ('#sk575' @ X2 @ X4) @ Y0)))))) & 51.41/7.10 (((!!) @ (^[Y0 : $i]: 51.41/7.10 (((X2 @ ('#sk349' @ X2 @ X4) @ ('#sk442' @ X2 @ X4) @ 51.41/7.10 Y0) | (X4 @ ('#sk349' @ X2 @ X4) @ 51.41/7.10 ('#sk442' @ X2 @ X4) @ Y0)))))))) 51.41/7.10 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)))), 51.41/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 51.41/7.10 thf(zip_derived_cl22, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.41/7.10 ( (((!!) @ (^[Y0 : $i]: 51.41/7.10 (((X2 @ ('#sk442' @ X2 @ X4) @ ('#sk575' @ X2 @ X4) @ 51.41/7.10 Y0) | (X4 @ ('#sk442' @ X2 @ X4) @ 51.41/7.10 ('#sk575' @ X2 @ X4) @ Y0)))))) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 51.41/7.10 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 51.41/7.10 thf(zip_derived_cl28, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 51.41/7.10 ( (((X2 @ ('#sk442' @ X2 @ X4) @ ('#sk575' @ X2 @ X4) @ X8) | (X4 @ 51.41/7.10 ('#sk442' @ X2 @ X4) @ ('#sk575' @ X2 @ X4) @ X8))) 51.41/7.10 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)))), 51.41/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])). 51.41/7.10 thf(zip_derived_cl36, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 51.41/7.10 ( (X2 @ ('#sk442' @ X2 @ X4) @ ('#sk575' @ X2 @ X4) @ X8) 51.41/7.10 | (X4 @ ('#sk442' @ X2 @ X4) @ ('#sk575' @ X2 @ X4) @ X8) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 51.41/7.10 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl28])). 51.41/7.10 thf(zip_derived_cl2723, plain, 51.41/7.10 (![X0 : $i, X1 : ($i > $o) > ($i > $o) > $i > $o, X2 : $i]: 51.41/7.10 (~ (X1 @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk108' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))) 51.41/7.10 | (X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X0) 51.41/7.10 | ~ (X1 @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk108' @ X1 @ 51.41/7.10 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))) 51.41/7.10 | ((^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 51.41/7.10 ('#sk442' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk575' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 X2) 51.41/7.10 | (X1 @ 51.41/7.10 ('#sk442' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk575' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 X2))), 51.41/7.10 inference('eq_fact', [status(thm)], [zip_derived_cl36])). 51.41/7.10 thf(zip_derived_cl2788, plain, 51.41/7.10 (![X0 : $i, X1 : ($i > $o) > ($i > $o) > $i > $o, X2 : $i]: 51.41/7.10 (~ (X1 @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk108' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))) 51.41/7.10 | (X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X0) 51.41/7.10 | ~ (X1 @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk108' @ X1 @ 51.41/7.10 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))) 51.41/7.10 | (X1 @ 51.41/7.10 ('#sk442' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk575' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 X2))), 51.41/7.10 inference('ho_norm', [status(thm)], [zip_derived_cl2723])). 51.41/7.10 thf(zip_derived_cl2789, plain, 51.41/7.10 (![X0 : $i, X1 : ($i > $o) > ($i > $o) > $i > $o, X2 : $i]: 51.41/7.10 ( (X1 @ 51.41/7.10 ('#sk442' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk575' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 X2) 51.41/7.10 | (X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X0) 51.41/7.10 | ~ (X1 @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk108' @ X1 @ 51.41/7.10 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))))), 51.41/7.10 inference('simplify', [status(thm)], [zip_derived_cl2788])). 51.41/7.10 thf(zip_derived_cl31, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.41/7.10 (~ (X2 @ ('#sk349' @ X2 @ X4) @ ('#sk575' @ X2 @ X4) @ 51.41/7.10 ('#sk958' @ X2 @ X4)) 51.41/7.10 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)))), 51.41/7.10 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])). 51.41/7.10 thf(zip_derived_cl5863, plain, 51.41/7.10 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i]: 51.41/7.10 (~ (X0 @ 51.41/7.10 ('#sk349' @ X0 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk575' @ X0 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk958' @ X0 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))) 51.41/7.10 | ((^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 51.41/7.10 (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 51.41/7.10 | (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 51.41/7.10 | ~ (X0 @ 51.41/7.10 ('#sk61' @ X0 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk61' @ X0 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk108' @ X0 @ 51.41/7.10 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))))), 51.41/7.10 inference('false_elim', [status(thm)], [zip_derived_cl31])). 51.41/7.10 thf(zip_derived_cl6311, plain, 51.41/7.10 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i]: 51.41/7.10 (~ (X0 @ 51.41/7.10 ('#sk349' @ X0 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk575' @ X0 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk958' @ X0 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))) 51.41/7.10 | (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 51.41/7.10 | ~ (X0 @ 51.41/7.10 ('#sk61' @ X0 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk61' @ X0 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk108' @ X0 @ 51.41/7.10 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))))), 51.41/7.10 inference('ho_norm', [status(thm)], [zip_derived_cl5863])). 51.41/7.10 thf(zip_derived_cl7027, plain, 51.41/7.10 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]: 51.41/7.10 ~ ('#l_lift110331' @ X2 @ X3 @ X4)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7027, plain, 51.41/7.10 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]: 51.41/7.10 ~ ('#l_lift110331' @ X2 @ X3 @ X4)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7017, plain, (![X7 : $i]: ('#l_lift110329' @ X7)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl30, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.41/7.10 (~ (X4 @ ('#sk349' @ X2 @ X4) @ ('#sk575' @ X2 @ X4) @ 51.41/7.10 ('#sk958' @ X2 @ X4)) 51.41/7.10 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)))), 51.41/7.10 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])). 51.41/7.10 thf(zip_derived_cl7018, plain, (![X8 : $i]: ~ ('#l_lift110330' @ X8)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7027, plain, 51.41/7.10 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]: 51.41/7.10 ~ ('#l_lift110331' @ X2 @ X3 @ X4)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7027, plain, 51.41/7.10 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]: 51.41/7.10 ~ ('#l_lift110331' @ X2 @ X3 @ X4)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7027, plain, 51.41/7.10 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]: 51.41/7.10 ~ ('#l_lift110331' @ X2 @ X3 @ X4)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7036, plain, 51.41/7.10 (![X0 : $i, X1 : ($i > $o) > ($i > $o) > $i > $o, X2 : $i]: 51.41/7.10 ( (X1 @ ('#sk442' @ X1 @ '#l_lift110331') @ 51.41/7.10 ('#sk575' @ X1 @ '#l_lift110331') @ X2) 51.41/7.10 | (X1 @ '#l_lift110329' @ '#l_lift110330' @ X0) 51.41/7.10 | ~ (X1 @ ('#sk61' @ X1 @ '#l_lift110331') @ 51.41/7.10 ('#sk61' @ X1 @ '#l_lift110331') @ 51.41/7.10 ('#sk108' @ X1 @ '#l_lift110331')))), 51.41/7.10 inference('lambda_lifting', [status(thm)], 51.41/7.10 [zip_derived_cl2789, zip_derived_cl7027, zip_derived_cl7027, 51.41/7.10 zip_derived_cl7017, zip_derived_cl7018, zip_derived_cl7027, 51.41/7.10 zip_derived_cl7027, zip_derived_cl7027])). 51.41/7.10 thf(zip_derived_cl7018, plain, (![X8 : $i]: ~ ('#l_lift110330' @ X8)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl31, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.41/7.10 (~ (X2 @ ('#sk349' @ X2 @ X4) @ ('#sk575' @ X2 @ X4) @ 51.41/7.10 ('#sk958' @ X2 @ X4)) 51.41/7.10 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)))), 51.41/7.10 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])). 51.41/7.10 thf(zip_derived_cl370, plain, 51.41/7.10 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i]: 51.41/7.10 (~ (X0 @ 51.41/7.10 ('#sk61' @ X0 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk61' @ X0 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk108' @ X0 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))) 51.41/7.10 | (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 51.41/7.10 | ((^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 51.41/7.10 (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 51.41/7.10 | ~ (X0 @ 51.41/7.10 ('#sk349' @ X0 @ 51.41/7.10 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk575' @ X0 @ 51.41/7.10 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk958' @ X0 @ 51.41/7.10 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))))), 51.41/7.10 inference('eq_fact', [status(thm)], [zip_derived_cl31])). 51.41/7.10 thf(zip_derived_cl413, plain, 51.41/7.10 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i]: 51.41/7.10 (~ (X0 @ 51.41/7.10 ('#sk61' @ X0 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk61' @ X0 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk108' @ X0 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))) 51.41/7.10 | (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 51.41/7.10 | ~ (X0 @ 51.41/7.10 ('#sk349' @ X0 @ 51.41/7.10 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk575' @ X0 @ 51.41/7.10 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk958' @ X0 @ 51.41/7.10 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))))), 51.41/7.10 inference('ho_norm', [status(thm)], [zip_derived_cl370])). 51.41/7.10 thf(zip_derived_cl7027, plain, 51.41/7.10 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]: 51.41/7.10 ~ ('#l_lift110331' @ X2 @ X3 @ X4)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7027, plain, 51.41/7.10 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]: 51.41/7.10 ~ ('#l_lift110331' @ X2 @ X3 @ X4)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7027, plain, 51.41/7.10 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]: 51.41/7.10 ~ ('#l_lift110331' @ X2 @ X3 @ X4)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7017, plain, (![X7 : $i]: ('#l_lift110329' @ X7)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7018, plain, (![X8 : $i]: ~ ('#l_lift110330' @ X8)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7027, plain, 51.41/7.10 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]: 51.41/7.10 ~ ('#l_lift110331' @ X2 @ X3 @ X4)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7027, plain, 51.41/7.10 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]: 51.41/7.10 ~ ('#l_lift110331' @ X2 @ X3 @ X4)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7027, plain, 51.41/7.10 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]: 51.41/7.10 ~ ('#l_lift110331' @ X2 @ X3 @ X4)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7043, plain, 51.41/7.10 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i]: 51.41/7.10 (~ (X0 @ ('#sk61' @ X0 @ '#l_lift110331') @ 51.41/7.10 ('#sk61' @ X0 @ '#l_lift110331') @ 51.41/7.10 ('#sk108' @ X0 @ '#l_lift110331')) 51.41/7.10 | (X0 @ '#l_lift110329' @ '#l_lift110330' @ X1) 51.41/7.10 | ~ (X0 @ ('#sk349' @ X0 @ '#l_lift110331') @ 51.41/7.10 ('#sk575' @ X0 @ '#l_lift110331') @ 51.41/7.10 ('#sk958' @ X0 @ '#l_lift110331')))), 51.41/7.10 inference('lambda_lifting', [status(thm)], 51.41/7.10 [zip_derived_cl413, zip_derived_cl7027, zip_derived_cl7027, 51.41/7.10 zip_derived_cl7027, zip_derived_cl7017, zip_derived_cl7018, 51.41/7.10 zip_derived_cl7027, zip_derived_cl7027, zip_derived_cl7027])). 51.41/7.10 thf(zip_derived_cl23, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.41/7.10 ( (((!!) @ (^[Y0 : $i]: 51.41/7.10 (((X2 @ ('#sk349' @ X2 @ X4) @ ('#sk442' @ X2 @ X4) @ 51.41/7.10 Y0) | (X4 @ ('#sk349' @ X2 @ X4) @ 51.41/7.10 ('#sk442' @ X2 @ X4) @ Y0)))))) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 51.41/7.10 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 51.41/7.10 thf(zip_derived_cl29, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 51.41/7.10 ( (((X2 @ ('#sk349' @ X2 @ X4) @ ('#sk442' @ X2 @ X4) @ X8) | (X4 @ 51.41/7.10 ('#sk349' @ X2 @ X4) @ ('#sk442' @ X2 @ X4) @ X8))) 51.41/7.10 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)))), 51.41/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])). 51.41/7.10 thf(zip_derived_cl37, plain, 51.41/7.10 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.41/7.10 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 51.41/7.10 ( (X2 @ ('#sk349' @ X2 @ X4) @ ('#sk442' @ X2 @ X4) @ X8) 51.41/7.10 | (X4 @ ('#sk349' @ X2 @ X4) @ ('#sk442' @ X2 @ X4) @ X8) 51.41/7.10 | ~ (X2 @ ('#sk61' @ X2 @ X4) @ ('#sk61' @ X2 @ X4) @ 51.41/7.10 ('#sk108' @ X2 @ X4)) 51.41/7.10 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.41/7.10 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 51.41/7.10 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl29])). 51.41/7.10 thf(zip_derived_cl4663, plain, 51.41/7.10 (![X0 : $i, X1 : ($i > $o) > ($i > $o) > $i > $o, X2 : $i]: 51.41/7.10 (~ (X1 @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk108' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))) 51.41/7.10 | (X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X0) 51.41/7.10 | ~ (X1 @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk108' @ X1 @ 51.41/7.10 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))) 51.41/7.10 | ((^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 51.41/7.10 ('#sk349' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk442' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 X2) 51.41/7.10 | (X1 @ 51.41/7.10 ('#sk349' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk442' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 X2))), 51.41/7.10 inference('eq_fact', [status(thm)], [zip_derived_cl37])). 51.41/7.10 thf(zip_derived_cl4728, plain, 51.41/7.10 (![X0 : $i, X1 : ($i > $o) > ($i > $o) > $i > $o, X2 : $i]: 51.41/7.10 (~ (X1 @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk108' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))) 51.41/7.10 | (X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X0) 51.41/7.10 | ~ (X1 @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk108' @ X1 @ 51.41/7.10 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))) 51.41/7.10 | (X1 @ 51.41/7.10 ('#sk349' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk442' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 X2))), 51.41/7.10 inference('ho_norm', [status(thm)], [zip_derived_cl4663])). 51.41/7.10 thf(zip_derived_cl4729, plain, 51.41/7.10 (![X0 : $i, X1 : ($i > $o) > ($i > $o) > $i > $o, X2 : $i]: 51.41/7.10 ( (X1 @ 51.41/7.10 ('#sk349' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk442' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 X2) 51.41/7.10 | (X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X0) 51.41/7.10 | ~ (X1 @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk61' @ X1 @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false))) @ 51.41/7.10 ('#sk108' @ X1 @ 51.41/7.10 (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)))))), 51.41/7.10 inference('simplify', [status(thm)], [zip_derived_cl4728])). 51.41/7.10 thf(zip_derived_cl7027, plain, 51.41/7.10 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]: 51.41/7.10 ~ ('#l_lift110331' @ X2 @ X3 @ X4)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7027, plain, 51.41/7.10 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]: 51.41/7.10 ~ ('#l_lift110331' @ X2 @ X3 @ X4)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7017, plain, (![X7 : $i]: ('#l_lift110329' @ X7)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7018, plain, (![X8 : $i]: ~ ('#l_lift110330' @ X8)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7027, plain, 51.41/7.10 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]: 51.41/7.10 ~ ('#l_lift110331' @ X2 @ X3 @ X4)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7027, plain, 51.41/7.10 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]: 51.41/7.10 ~ ('#l_lift110331' @ X2 @ X3 @ X4)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7027, plain, 51.41/7.10 (![X2 : $i > $o, X3 : $i > $o, X4 : $i]: 51.41/7.10 ~ ('#l_lift110331' @ X2 @ X3 @ X4)), 51.41/7.10 define([status(thm)])). 51.41/7.10 thf(zip_derived_cl7032, plain, 51.41/7.10 (![X0 : $i, X1 : ($i > $o) > ($i > $o) > $i > $o, X2 : $i]: 51.41/7.10 ( (X1 @ ('#sk349' @ X1 @ '#l_lift110331') @ 51.41/7.10 ('#sk442' @ X1 @ '#l_lift110331') @ X2) 51.41/7.10 | (X1 @ '#l_lift110329' @ '#l_lift110330' @ X0) 51.41/7.10 | ~ (X1 @ ('#sk61' @ X1 @ '#l_lift110331') @ 51.41/7.10 ('#sk61' @ X1 @ '#l_lift110331') @ 51.41/7.10 ('#sk108' @ X1 @ '#l_lift110331')))), 51.41/7.10 inference('lambda_lifting', [status(thm)], 51.41/7.10 [zip_derived_cl4729, zip_derived_cl7027, zip_derived_cl7027, 51.41/7.10 zip_derived_cl7017, zip_derived_cl7018, zip_derived_cl7027, 51.41/7.10 zip_derived_cl7027, zip_derived_cl7027])). 51.41/7.10 thf(zip_derived_cl7044, plain, ($false), 51.41/7.10 inference('eprover', [status(thm)], 51.41/7.10 [zip_derived_cl7017, zip_derived_cl7036, zip_derived_cl7018, 51.41/7.10 zip_derived_cl7043, zip_derived_cl7032])). 51.41/7.10 51.41/7.10 % SZS output end Refutation 51.41/7.10 51.41/7.10 51.41/7.10 % Terminating... 51.95/7.17 % Runner terminated. 51.95/7.18 % Zipperpin 1.5 exiting 51.95/7.19 EOF