0.08/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YtfVcyw3lY true 0.10/0.30 % Computer : n010.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Tue Aug 9 05:45:05 EDT 2022 0.10/0.30 % CPUTime : 0.10/0.30 % Running portfolio for 960 s 0.10/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.10/0.30 % Number of cores: 8 0.10/0.31 % Python version: Python 3.6.8 0.10/0.31 % Running in HO mode 0.42/0.53 % Total configuration time : 828 0.42/0.53 % Estimated wc time : 1656 0.42/0.53 % Estimated cpu time (8 cpus) : 207.0 0.55/0.57 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.55/0.57 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.55/0.57 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.55/0.58 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.55/0.58 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.55/0.58 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.55/0.59 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.55/0.59 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.98/0.70 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 7.69/1.48 % Solved by lams/35_full_unif4.sh. 7.69/1.48 % done 484 iterations in 0.860s 7.69/1.48 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 7.69/1.48 % SZS output start Refutation 7.69/1.48 thf(a_type, type, a: $tType). 7.69/1.48 thf('#sk1_type', type, '#sk1': a > $o). 7.69/1.48 thf('#form4_type', type, '#form4': $o). 7.69/1.48 thf('#sk19_type', type, '#sk19': a). 7.69/1.48 thf('#sk5_type', type, '#sk5': (a > $o) > $o). 7.69/1.48 thf('#sk23_type', type, '#sk23': a). 7.69/1.48 thf('#sk2_type', type, '#sk2': a > $o). 7.69/1.48 thf('#sk22_type', type, '#sk22': a). 7.69/1.48 thf('#sk43_type', type, '#sk43': a > a > $o). 7.69/1.48 thf('#sk6_type', type, '#sk6': a > $o). 7.69/1.48 thf('#sk24_type', type, '#sk24': a). 7.69/1.48 thf('#sk3_type', type, '#sk3': a > $o). 7.69/1.48 thf(cINDISCRETE_TOPOLOGY_pme, conjecture, 7.69/1.48 (( ![R:( a > $o )]: 7.69/1.48 ( ( ( R ) = ( ^[Xx:a]: ( $false ) ) ) => 7.69/1.48 ( ( ( R ) = ( ^[Xy:a]: ( $true ) ) ) | 7.69/1.48 ( ( R ) = ( ^[Xy:a]: ( $false ) ) ) ) ) ) & 7.69/1.48 ( ![R:( a > $o )]: 7.69/1.48 ( ( ( R ) = ( ^[Xx:a]: ( $true ) ) ) => 7.69/1.48 ( ( ( R ) = ( ^[Xy:a]: ( $false ) ) ) | 7.69/1.48 ( ( R ) = ( ^[Xy:a]: ( $true ) ) ) ) ) ) & 7.69/1.48 ( ![Y:( a > $o ),Z:( a > $o ),S:( a > $o )]: 7.69/1.48 ( ( ( ( S ) = ( ^[Xx:a]: ( ( Z @ Xx ) & ( Y @ Xx ) ) ) ) & 7.69/1.48 ( ( ( Z ) = ( ^[Xy:a]: ( $true ) ) ) | 7.69/1.48 ( ( Z ) = ( ^[Xy:a]: ( $false ) ) ) ) & 7.69/1.48 ( ( ( Y ) = ( ^[Xy:a]: ( $true ) ) ) | 7.69/1.48 ( ( Y ) = ( ^[Xy:a]: ( $false ) ) ) ) ) => 7.69/1.48 ( ( ( S ) = ( ^[Xy:a]: ( $true ) ) ) | 7.69/1.48 ( ( S ) = ( ^[Xy:a]: ( $false ) ) ) ) ) ) & 7.69/1.48 ( ![K:( ( a > $o ) > $o ),R:( a > $o )]: 7.69/1.48 ( ( ( ![Xx:( a > $o )]: 7.69/1.48 ( ( K @ Xx ) => 7.69/1.48 ( ( ( Xx ) = ( ^[Xy:a]: ( $true ) ) ) | 7.69/1.48 ( ( Xx ) = ( ^[Xy:a]: ( $false ) ) ) ) ) ) & 7.69/1.48 ( ( R ) = 7.69/1.48 ( ^[Xx:a]: ( ?[S:( a > $o )]: ( ( S @ Xx ) & ( K @ S ) ) ) ) ) ) => 7.69/1.48 ( ( ( R ) = ( ^[Xy:a]: ( $false ) ) ) | 7.69/1.48 ( ( R ) = ( ^[Xy:a]: ( $true ) ) ) ) ) ))). 7.69/1.48 thf(zf_stmt_0, negated_conjecture, 7.69/1.48 (~( ( ![R:( a > $o )]: 7.69/1.48 ( ( ( R ) = ( ^[Xx:a]: ( $false ) ) ) => 7.69/1.48 ( ( ( R ) = ( ^[Xy:a]: ( $true ) ) ) | 7.69/1.48 ( ( R ) = ( ^[Xy:a]: ( $false ) ) ) ) ) ) & 7.69/1.48 ( ![R:( a > $o )]: 7.69/1.48 ( ( ( R ) = ( ^[Xx:a]: ( $true ) ) ) => 7.69/1.48 ( ( ( R ) = ( ^[Xy:a]: ( $false ) ) ) | 7.69/1.48 ( ( R ) = ( ^[Xy:a]: ( $true ) ) ) ) ) ) & 7.69/1.48 ( ![Y:( a > $o ),Z:( a > $o ),S:( a > $o )]: 7.69/1.48 ( ( ( ( S ) = ( ^[Xx:a]: ( ( Z @ Xx ) & ( Y @ Xx ) ) ) ) & 7.69/1.48 ( ( ( Z ) = ( ^[Xy:a]: ( $true ) ) ) | 7.69/1.48 ( ( Z ) = ( ^[Xy:a]: ( $false ) ) ) ) & 7.69/1.48 ( ( ( Y ) = ( ^[Xy:a]: ( $true ) ) ) | 7.69/1.48 ( ( Y ) = ( ^[Xy:a]: ( $false ) ) ) ) ) => 7.69/1.48 ( ( ( S ) = ( ^[Xy:a]: ( $true ) ) ) | 7.69/1.48 ( ( S ) = ( ^[Xy:a]: ( $false ) ) ) ) ) ) & 7.69/1.48 ( ![K:( ( a > $o ) > $o ),R:( a > $o )]: 7.69/1.48 ( ( ( ![Xx:( a > $o )]: 7.69/1.48 ( ( K @ Xx ) => 7.69/1.48 ( ( ( Xx ) = ( ^[Xy:a]: ( $true ) ) ) | 7.69/1.48 ( ( Xx ) = ( ^[Xy:a]: ( $false ) ) ) ) ) ) & 7.69/1.48 ( ( R ) = 7.69/1.48 ( ^[Xx:a]: ( ?[S:( a > $o )]: ( ( S @ Xx ) & ( K @ S ) ) ) ) ) ) => 7.69/1.48 ( ( ( R ) = ( ^[Xy:a]: ( $false ) ) ) | 7.69/1.48 ( ( R ) = ( ^[Xy:a]: ( $true ) ) ) ) ) ) )), 7.69/1.48 inference('cnf.neg', [status(esa)], [cINDISCRETE_TOPOLOGY_pme])). 7.69/1.48 thf(zip_derived_cl0, plain, 7.69/1.48 (~ (((((!!) @ (^[Y0 : a > $o]: 7.69/1.48 (((((Y0) = ((^[Y1 : a]: ($false))))) => 7.69/1.48 (((((Y0) = ((^[Y1 : a]: ($true))))) | 7.69/1.48 (((Y0) = ((^[Y1 : a]: ($false)))))))))))) & 7.69/1.48 (((!!) @ (^[Y0 : a > $o]: 7.69/1.48 (((((Y0) = ((^[Y1 : a]: ($true))))) => 7.69/1.48 (((((Y0) = ((^[Y1 : a]: ($false))))) | 7.69/1.48 (((Y0) = ((^[Y1 : a]: ($true)))))))))))) & 7.69/1.48 (((!!) @ (^[Y0 : a > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((((((Y2) = 7.69/1.48 ((^[Y3 : a]: 7.69/1.48 (((Y1 @ Y3) & (Y0 @ 7.69/1.48 Y3))))))) & 7.69/1.48 (((((Y1) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y3 : a]: ($false))))))) & 7.69/1.48 (((((Y0) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y0) = 7.69/1.48 ((^[Y3 : a]: ($false))))))))) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))))))))) & 7.69/1.48 (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true)))))))))))))))))), 7.69/1.48 inference('cnf', [status(esa)], [zf_stmt_0])). 7.69/1.48 thf(zip_derived_cl1, plain, 7.69/1.48 (~ (((((!!) @ (^[Y0 : a > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((((((Y2) = 7.69/1.48 ((^[Y3 : a]: 7.69/1.48 (((Y1 @ Y3) & (Y0 @ 7.69/1.48 Y3))))))) & 7.69/1.48 (((((Y1) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y3 : a]: ($false))))))) & 7.69/1.48 (((((Y0) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y0) = 7.69/1.48 ((^[Y3 : a]: ($false))))))))) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))))))))) & 7.69/1.48 (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true)))))))))))))))))), 7.69/1.48 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl0])). 7.69/1.48 thf(zip_derived_cl2, plain, 7.69/1.48 ((~ (((!!) @ (^[Y0 : a > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((((((Y2) = 7.69/1.48 ((^[Y3 : a]: 7.69/1.48 (((Y1 @ Y3) & (Y0 @ Y3))))))) & 7.69/1.48 (((((Y1) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y3 : a]: ($false))))))) & 7.69/1.48 (((((Y0) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y0) = 7.69/1.48 ((^[Y3 : a]: ($false))))))))) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))))))))) 7.69/1.48 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true))))))))))))))))), 7.69/1.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])). 7.69/1.48 thf(zip_derived_cl3, plain, 7.69/1.48 ((~ (((!!) @ (^[Y0 : a > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((Y0 @ Y2) & ('#sk1' @ Y2))))))) & 7.69/1.48 (((((Y0) = ((^[Y2 : a]: ($true))))) | 7.69/1.48 (((Y0) = ((^[Y2 : a]: ($false))))))) & 7.69/1.48 ((((('#sk1') = ((^[Y2 : a]: ($true))))) | 7.69/1.48 ((('#sk1') = ((^[Y2 : a]: ($false))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($true))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($false))))))))))))))) 7.69/1.48 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true))))))))))))))))), 7.69/1.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 7.69/1.48 thf(zip_derived_cl4, plain, 7.69/1.48 ((~ (((!!) @ (^[Y0 : a > $o]: 7.69/1.48 (((((((Y0) = 7.69/1.48 ((^[Y1 : a]: ((('#sk2' @ Y1) & ('#sk1' @ Y1))))))) & 7.69/1.48 ((((('#sk2') = ((^[Y1 : a]: ($true))))) | 7.69/1.48 ((('#sk2') = ((^[Y1 : a]: ($false))))))) & 7.69/1.48 ((((('#sk1') = ((^[Y1 : a]: ($true))))) | 7.69/1.48 ((('#sk1') = ((^[Y1 : a]: ($false))))))))) => 7.69/1.48 (((((Y0) = ((^[Y1 : a]: ($true))))) | 7.69/1.48 (((Y0) = ((^[Y1 : a]: ($false)))))))))))) 7.69/1.48 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true))))))))))))))))), 7.69/1.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 7.69/1.48 thf(zip_derived_cl5, plain, 7.69/1.48 ((~ ((((((('#sk3') = ((^[Y0 : a]: ((('#sk2' @ Y0) & ('#sk1' @ Y0))))))) & 7.69/1.48 ((((('#sk2') = ((^[Y0 : a]: ($true))))) | 7.69/1.48 ((('#sk2') = ((^[Y0 : a]: ($false))))))) & 7.69/1.48 ((((('#sk1') = ((^[Y0 : a]: ($true))))) | 7.69/1.48 ((('#sk1') = ((^[Y0 : a]: ($false))))))))) => 7.69/1.48 ((((('#sk3') = ((^[Y0 : a]: ($true))))) | 7.69/1.48 ((('#sk3') = ((^[Y0 : a]: ($false))))))))) 7.69/1.48 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true))))))))))))))))), 7.69/1.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])). 7.69/1.48 thf(zip_derived_cl7, plain, 7.69/1.48 ((~ ((((('#sk3') = ((^[Y0 : a]: ($true))))) | 7.69/1.48 ((('#sk3') = ((^[Y0 : a]: ($false))))))) 7.69/1.48 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true))))))))))))))))), 7.69/1.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 7.69/1.48 thf(zip_derived_cl11, plain, 7.69/1.48 (( ('#form4') 7.69/1.48 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true))))))))))))))))), 7.69/1.48 define([status(thm)])). 7.69/1.48 thf(zip_derived_cl12, plain, 7.69/1.48 ((~ (((!!) @ (^[Y0 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y1 : a > $o]: 7.69/1.48 ((('#sk5' @ Y1) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($true))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($false)))))))))))) & 7.69/1.48 (((Y0) = 7.69/1.48 ((^[Y1 : a]: 7.69/1.48 (((??) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y2 @ Y1) & ('#sk5' @ Y2)))))))))))) => 7.69/1.48 (((((Y0) = ((^[Y1 : a]: ($false))))) | 7.69/1.48 (((Y0) = ((^[Y1 : a]: ($true)))))))))))) 7.69/1.48 | ('#form4'))), 7.69/1.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])). 7.69/1.48 thf(zip_derived_cl20, plain, 7.69/1.48 ((~ (((((((!!) @ (^[Y0 : a > $o]: 7.69/1.48 ((('#sk5' @ Y0) => 7.69/1.48 (((((Y0) = ((^[Y1 : a]: ($true))))) | 7.69/1.48 (((Y0) = ((^[Y1 : a]: ($false)))))))))))) & 7.69/1.48 ((('#sk6') = 7.69/1.48 ((^[Y0 : a]: 7.69/1.48 (((??) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & ('#sk5' @ Y1)))))))))))) => 7.69/1.48 ((((('#sk6') = ((^[Y0 : a]: ($false))))) | 7.69/1.48 ((('#sk6') = ((^[Y0 : a]: ($true))))))))) 7.69/1.48 | ('#form4'))), 7.69/1.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])). 7.69/1.48 thf(zip_derived_cl26, plain, 7.69/1.48 ((~ ((((('#sk6') = ((^[Y0 : a]: ($false))))) | 7.69/1.48 ((('#sk6') = ((^[Y0 : a]: ($true))))))) 7.69/1.48 | ('#form4'))), 7.69/1.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 7.69/1.48 thf(zip_derived_cl32, plain, 7.69/1.48 ((~ ((('#sk6') = ((^[Y0 : a]: ($true))))) | ('#form4'))), 7.69/1.48 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl26])). 7.69/1.48 thf(zip_derived_cl40, plain, 7.69/1.48 (((('#sk6') != ((^[Y0 : a]: ($true)))) | ('#form4'))), 7.69/1.48 inference('simplify nested equalities', [status(thm)], [zip_derived_cl32])). 7.69/1.48 thf(zip_derived_cl98, plain, ((~ ('#sk6' @ '#sk22') | ('#form4'))), 7.69/1.48 inference('neg_ext', [status(thm)], [zip_derived_cl40])). 7.69/1.48 thf(zip_derived_cl6, plain, 7.69/1.48 (( ((((('#sk3') = ((^[Y0 : a]: ((('#sk2' @ Y0) & ('#sk1' @ Y0))))))) & 7.69/1.48 ((((('#sk2') = ((^[Y0 : a]: ($true))))) | 7.69/1.48 ((('#sk2') = ((^[Y0 : a]: ($false))))))) & 7.69/1.48 ((((('#sk1') = ((^[Y0 : a]: ($true))))) | 7.69/1.48 ((('#sk1') = ((^[Y0 : a]: ($false))))))))) 7.69/1.48 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true))))))))))))))))), 7.69/1.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 7.69/1.48 thf(zip_derived_cl9, plain, 7.69/1.48 (( ((((('#sk2') = ((^[Y0 : a]: ($true))))) | 7.69/1.48 ((('#sk2') = ((^[Y0 : a]: ($false))))))) 7.69/1.48 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true))))))))))))))))), 7.69/1.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])). 7.69/1.48 thf(zip_derived_cl11, plain, 7.69/1.48 (( ('#form4') 7.69/1.48 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true))))))))))))))))), 7.69/1.48 define([status(thm)])). 7.69/1.48 thf(zip_derived_cl16, plain, 7.69/1.48 ((~ ('#form4') 7.69/1.48 | ((((('#sk2') = ((^[Y0 : a]: ($true))))) | 7.69/1.48 ((('#sk2') = ((^[Y0 : a]: ($false))))))))), 7.69/1.48 inference('renaming', [status(thm)], [zip_derived_cl9, zip_derived_cl11])). 7.69/1.48 thf(zip_derived_cl21, plain, 7.69/1.48 (( ((('#sk2') = ((^[Y0 : a]: ($true))))) 7.69/1.48 | ((('#sk2') = ((^[Y0 : a]: ($false))))) 7.69/1.48 | ~ ('#form4'))), 7.69/1.48 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl16])). 7.69/1.48 thf(zip_derived_cl27, plain, 7.69/1.48 (((('#sk2') = ((^[Y0 : a]: ($true)))) 7.69/1.48 | (('#sk2') = ((^[Y0 : a]: ($false)))) 7.69/1.48 | ~ ('#form4'))), 7.69/1.48 inference('simplify nested equalities', [status(thm)], [zip_derived_cl21])). 7.69/1.48 thf(zip_derived_cl7, plain, 7.69/1.48 ((~ ((((('#sk3') = ((^[Y0 : a]: ($true))))) | 7.69/1.48 ((('#sk3') = ((^[Y0 : a]: ($false))))))) 7.69/1.48 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true))))))))))))))))), 7.69/1.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 7.69/1.48 thf(zip_derived_cl11, plain, 7.69/1.48 (( ('#form4') 7.69/1.48 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true))))))))))))))))), 7.69/1.48 define([status(thm)])). 7.69/1.48 thf(zip_derived_cl13, plain, 7.69/1.48 ((~ ('#form4') 7.69/1.48 | ~ ((((('#sk3') = ((^[Y0 : a]: ($true))))) | 7.69/1.48 ((('#sk3') = ((^[Y0 : a]: ($false))))))))), 7.69/1.48 inference('renaming', [status(thm)], [zip_derived_cl7, zip_derived_cl11])). 7.69/1.48 thf(zip_derived_cl19, plain, 7.69/1.48 ((~ ((('#sk3') = ((^[Y0 : a]: ($false))))) | ~ ('#form4'))), 7.69/1.48 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])). 7.69/1.48 thf(zip_derived_cl24, plain, 7.69/1.48 (((('#sk3') != ((^[Y0 : a]: ($false)))) | ~ ('#form4'))), 7.69/1.48 inference('simplify nested equalities', [status(thm)], [zip_derived_cl19])). 7.69/1.48 thf(zip_derived_cl62, plain, 7.69/1.48 (((('#sk3') != ('#sk2')) 7.69/1.48 | ~ ('#form4') 7.69/1.48 | (('#sk2') = ((^[Y0 : a]: ($true)))) 7.69/1.48 | ~ ('#form4'))), 7.69/1.48 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl24])). 7.69/1.48 thf(zip_derived_cl65, plain, 7.69/1.48 (((('#sk2') = ((^[Y0 : a]: ($true)))) 7.69/1.48 | ~ ('#form4') 7.69/1.48 | (('#sk3') != ('#sk2')))), 7.69/1.48 inference('simplify', [status(thm)], [zip_derived_cl62])). 7.69/1.48 thf(zip_derived_cl18, plain, 7.69/1.48 ((~ ((('#sk3') = ((^[Y0 : a]: ($true))))) | ~ ('#form4'))), 7.69/1.48 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])). 7.69/1.48 thf(zip_derived_cl23, plain, 7.69/1.48 (((('#sk3') != ((^[Y0 : a]: ($true)))) | ~ ('#form4'))), 7.69/1.48 inference('simplify nested equalities', [status(thm)], [zip_derived_cl18])). 7.69/1.48 thf(zip_derived_cl139, plain, 7.69/1.48 (((('#sk3') != ('#sk2')) 7.69/1.48 | (('#sk3') != ('#sk2')) 7.69/1.48 | ~ ('#form4') 7.69/1.48 | ~ ('#form4'))), 7.69/1.48 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])). 7.69/1.48 thf(zip_derived_cl142, plain, ((~ ('#form4') | (('#sk3') != ('#sk2')))), 7.69/1.48 inference('simplify', [status(thm)], [zip_derived_cl139])). 7.69/1.48 thf(zip_derived_cl143, plain, 7.69/1.48 ((~ ('#form4') | (('#sk3' @ '#sk24') != ('#sk2' @ '#sk24')))), 7.69/1.48 inference('neg_ext', [status(thm)], [zip_derived_cl142])). 7.69/1.48 thf(zip_derived_cl154, plain, 7.69/1.48 (( ('#sk3' @ '#sk24') | ('#sk2' @ '#sk24') | ~ ('#form4'))), 7.69/1.48 inference('eq_elim', [status(thm)], [zip_derived_cl143])). 7.69/1.48 thf(zip_derived_cl143, plain, 7.69/1.48 ((~ ('#form4') | (('#sk3' @ '#sk24') != ('#sk2' @ '#sk24')))), 7.69/1.48 inference('neg_ext', [status(thm)], [zip_derived_cl142])). 7.69/1.48 thf(zip_derived_cl155, plain, 7.69/1.48 ((~ ('#sk3' @ '#sk24') | ~ ('#sk2' @ '#sk24') | ~ ('#form4'))), 7.69/1.48 inference('eq_elim', [status(thm)], [zip_derived_cl143])). 7.69/1.48 thf(zip_derived_cl8, plain, 7.69/1.48 (( ((('#sk3') = ((^[Y0 : a]: ((('#sk2' @ Y0) & ('#sk1' @ Y0))))))) 7.69/1.48 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true))))))))))))))))), 7.69/1.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])). 7.69/1.48 thf(zip_derived_cl14, plain, 7.69/1.48 (((('#sk3') = ((^[Y0 : a]: ((('#sk2' @ Y0) & ('#sk1' @ Y0)))))) 7.69/1.48 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true))))))))))))))))), 7.69/1.48 inference('simplify nested equalities', [status(thm)], [zip_derived_cl8])). 7.69/1.48 thf(zip_derived_cl11, plain, 7.69/1.48 (( ('#form4') 7.69/1.48 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true))))))))))))))))), 7.69/1.48 define([status(thm)])). 7.69/1.48 thf(zip_derived_cl15, plain, 7.69/1.48 ((~ ('#form4') 7.69/1.48 | (('#sk3') = ((^[Y0 : a]: ((('#sk2' @ Y0) & ('#sk1' @ Y0)))))))), 7.69/1.48 inference('renaming', [status(thm)], [zip_derived_cl14, zip_derived_cl11])). 7.69/1.48 thf(zip_derived_cl45, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 ((('#sk3' @ X1) 7.69/1.48 = ((^[Y0 : a]: ((('#sk2' @ Y0) & ('#sk1' @ Y0)))) @ X1)) 7.69/1.48 | ~ ('#form4'))), 7.69/1.48 inference('ho_complete_eq', [status(thm)], [zip_derived_cl15])). 7.69/1.48 thf(zip_derived_cl46, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 ((('#sk3' @ X1) = ((('#sk2' @ X1) & ('#sk1' @ X1)))) | ~ ('#form4'))), 7.69/1.48 inference('ho_norm', [status(thm)], [zip_derived_cl45])). 7.69/1.48 thf(zip_derived_cl49, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 ( ('#sk2' @ X1) 7.69/1.48 | (('#sk3' @ X1) = ((($false) & ('#sk1' @ X1)))) 7.69/1.48 | ~ ('#form4'))), 7.69/1.48 inference('bool_hoist', [status(thm)], [zip_derived_cl46])). 7.69/1.48 thf(zip_derived_cl50, plain, 7.69/1.48 (![X1 : a]: ( ('#sk2' @ X1) | ~ ('#sk3' @ X1) | ~ ('#form4'))), 7.69/1.48 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl49])). 7.69/1.48 thf(zip_derived_cl157, plain, ((~ ('#form4') | ~ ('#sk3' @ '#sk24'))), 7.69/1.48 inference('clc', [status(thm)], [zip_derived_cl155, zip_derived_cl50])). 7.69/1.48 thf(zip_derived_cl167, plain, ((~ ('#form4') | ('#sk2' @ '#sk24'))), 7.69/1.48 inference('clc', [status(thm)], [zip_derived_cl154, zip_derived_cl157])). 7.69/1.48 thf(zip_derived_cl27, plain, 7.69/1.48 (((('#sk2') = ((^[Y0 : a]: ($true)))) 7.69/1.48 | (('#sk2') = ((^[Y0 : a]: ($false)))) 7.69/1.48 | ~ ('#form4'))), 7.69/1.48 inference('simplify nested equalities', [status(thm)], [zip_derived_cl21])). 7.69/1.48 thf(zip_derived_cl51, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 ((('#sk2' @ X1) = ((^[Y0 : a]: ($false)) @ X1)) 7.69/1.48 | ~ ('#form4') 7.69/1.48 | (('#sk2') = ((^[Y0 : a]: ($true)))))), 7.69/1.48 inference('ho_complete_eq', [status(thm)], [zip_derived_cl27])). 7.69/1.48 thf(zip_derived_cl52, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 (~ ('#sk2' @ X1) | ~ ('#form4') | (('#sk2') = ((^[Y0 : a]: ($true)))))), 7.69/1.48 inference('ho_norm', [status(thm)], [zip_derived_cl51])). 7.69/1.48 thf(zip_derived_cl270, plain, 7.69/1.48 ((~ ('#form4') | (('#sk2') = ((^[Y0 : a]: ($true)))) | ~ ('#form4'))), 7.69/1.48 inference('sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl52])). 7.69/1.48 thf(zip_derived_cl274, plain, 7.69/1.48 (((('#sk2') = ((^[Y0 : a]: ($true)))) | ~ ('#form4'))), 7.69/1.48 inference('simplify', [status(thm)], [zip_derived_cl270])). 7.69/1.48 thf(zip_derived_cl280, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 ((('#sk2' @ X1) = ((^[Y0 : a]: ($true)) @ X1)) | ~ ('#form4'))), 7.69/1.48 inference('ho_complete_eq', [status(thm)], [zip_derived_cl274])). 7.69/1.48 thf(zip_derived_cl281, plain, (![X1 : a]: ( ('#sk2' @ X1) | ~ ('#form4'))), 7.69/1.48 inference('ho_norm', [status(thm)], [zip_derived_cl280])). 7.69/1.48 thf(zip_derived_cl46, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 ((('#sk3' @ X1) = ((('#sk2' @ X1) & ('#sk1' @ X1)))) | ~ ('#form4'))), 7.69/1.48 inference('ho_norm', [status(thm)], [zip_derived_cl45])). 7.69/1.48 thf(zip_derived_cl287, plain, 7.69/1.48 (![X0 : a]: 7.69/1.48 ((('#sk3' @ X0) = ((($true) & ('#sk1' @ X0)))) 7.69/1.48 | ~ ('#form4') 7.69/1.48 | ~ ('#form4'))), 7.69/1.48 inference('sup+', [status(thm)], [zip_derived_cl281, zip_derived_cl46])). 7.69/1.48 thf(zip_derived_cl291, plain, 7.69/1.48 (![X0 : a]: 7.69/1.48 (~ ('#form4') | (('#sk3' @ X0) = ((($true) & ('#sk1' @ X0)))))), 7.69/1.48 inference('simplify', [status(thm)], [zip_derived_cl287])). 7.69/1.48 thf(zip_derived_cl292, plain, 7.69/1.48 (![X0 : a]: (~ ('#form4') | (('#sk3' @ X0) = ('#sk1' @ X0)))), 7.69/1.48 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl291])). 7.69/1.48 thf(zip_derived_cl10, plain, 7.69/1.48 (( ((((('#sk1') = ((^[Y0 : a]: ($true))))) | 7.69/1.48 ((('#sk1') = ((^[Y0 : a]: ($false))))))) 7.69/1.48 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true))))))))))))))))), 7.69/1.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])). 7.69/1.48 thf(zip_derived_cl11, plain, 7.69/1.48 (( ('#form4') 7.69/1.48 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.69/1.48 (((!!) @ (^[Y1 : a > $o]: 7.69/1.48 (((((((!!) @ (^[Y2 : a > $o]: 7.69/1.48 (((Y0 @ Y2) => 7.69/1.48 (((((Y2) = 7.69/1.48 ((^[Y3 : a]: ($true))))) | 7.69/1.48 (((Y2) = 7.69/1.48 ((^[Y3 : a]: ($false)))))))))))) & 7.69/1.48 (((Y1) = 7.69/1.48 ((^[Y2 : a]: 7.69/1.48 (((??) @ (^[Y3 : a > $o]: 7.69/1.48 (((Y3 @ Y2) & (Y0 @ 7.69/1.48 Y3)))))))))))) => 7.69/1.48 (((((Y1) = ((^[Y2 : a]: ($false))))) | 7.69/1.48 (((Y1) = ((^[Y2 : a]: ($true))))))))))))))))), 7.69/1.48 define([status(thm)])). 7.69/1.48 thf(zip_derived_cl17, plain, 7.69/1.48 ((~ ('#form4') 7.69/1.48 | ((((('#sk1') = ((^[Y0 : a]: ($true))))) | 7.69/1.48 ((('#sk1') = ((^[Y0 : a]: ($false))))))))), 7.69/1.48 inference('renaming', [status(thm)], [zip_derived_cl10, zip_derived_cl11])). 7.69/1.48 thf(zip_derived_cl22, plain, 7.69/1.48 (( ((('#sk1') = ((^[Y0 : a]: ($true))))) 7.69/1.48 | ((('#sk1') = ((^[Y0 : a]: ($false))))) 7.69/1.48 | ~ ('#form4'))), 7.69/1.48 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl17])). 7.69/1.48 thf(zip_derived_cl28, plain, 7.69/1.48 (((('#sk1') = ((^[Y0 : a]: ($true)))) 7.69/1.48 | (('#sk1') = ((^[Y0 : a]: ($false)))) 7.69/1.48 | ~ ('#form4'))), 7.69/1.48 inference('simplify nested equalities', [status(thm)], [zip_derived_cl22])). 7.69/1.48 thf(zip_derived_cl24, plain, 7.69/1.48 (((('#sk3') != ((^[Y0 : a]: ($false)))) | ~ ('#form4'))), 7.69/1.48 inference('simplify nested equalities', [status(thm)], [zip_derived_cl19])). 7.69/1.48 thf(zip_derived_cl61, plain, 7.69/1.48 (((('#sk3') != ('#sk1')) 7.69/1.48 | ~ ('#form4') 7.69/1.48 | (('#sk1') = ((^[Y0 : a]: ($true)))) 7.69/1.48 | ~ ('#form4'))), 7.69/1.48 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl24])). 7.69/1.48 thf(zip_derived_cl64, plain, 7.69/1.48 (((('#sk1') = ((^[Y0 : a]: ($true)))) 7.69/1.48 | ~ ('#form4') 7.69/1.48 | (('#sk3') != ('#sk1')))), 7.69/1.48 inference('simplify', [status(thm)], [zip_derived_cl61])). 7.69/1.48 thf(zip_derived_cl23, plain, 7.69/1.48 (((('#sk3') != ((^[Y0 : a]: ($true)))) | ~ ('#form4'))), 7.69/1.48 inference('simplify nested equalities', [status(thm)], [zip_derived_cl18])). 7.69/1.48 thf(zip_derived_cl117, plain, 7.69/1.48 (((('#sk3') != ('#sk1')) 7.69/1.48 | (('#sk3') != ('#sk1')) 7.69/1.48 | ~ ('#form4') 7.69/1.48 | ~ ('#form4'))), 7.69/1.48 inference('sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl23])). 7.69/1.48 thf(zip_derived_cl120, plain, ((~ ('#form4') | (('#sk3') != ('#sk1')))), 7.69/1.48 inference('simplify', [status(thm)], [zip_derived_cl117])). 7.69/1.48 thf(zip_derived_cl121, plain, 7.69/1.48 ((~ ('#form4') | (('#sk3' @ '#sk23') != ('#sk1' @ '#sk23')))), 7.69/1.48 inference('neg_ext', [status(thm)], [zip_derived_cl120])). 7.69/1.48 thf(zip_derived_cl315, plain, 7.69/1.48 (((('#sk1' @ '#sk23') != ('#sk1' @ '#sk23')) 7.69/1.48 | ~ ('#form4') 7.69/1.48 | ~ ('#form4'))), 7.69/1.48 inference('sup-', [status(thm)], [zip_derived_cl292, zip_derived_cl121])). 7.69/1.48 thf(zip_derived_cl352, plain, (~ ('#form4')), 7.69/1.48 inference('simplify', [status(thm)], [zip_derived_cl315])). 7.69/1.48 thf(zip_derived_cl380, plain, (~ ('#sk6' @ '#sk22')), 7.69/1.48 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl352])). 7.69/1.48 thf(zip_derived_cl25, plain, 7.69/1.48 (( (((((!!) @ (^[Y0 : a > $o]: 7.69/1.48 ((('#sk5' @ Y0) => 7.69/1.48 (((((Y0) = ((^[Y1 : a]: ($true))))) | 7.69/1.48 (((Y0) = ((^[Y1 : a]: ($false)))))))))))) & 7.69/1.48 ((('#sk6') = 7.69/1.48 ((^[Y0 : a]: 7.69/1.48 (((??) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & ('#sk5' @ Y1)))))))))))) 7.69/1.48 | ('#form4'))), 7.69/1.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 7.69/1.48 thf(zip_derived_cl30, plain, 7.69/1.48 (( ((('#sk6') = 7.69/1.48 ((^[Y0 : a]: 7.69/1.48 (((??) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & ('#sk5' @ Y1)))))))))) 7.69/1.48 | ('#form4'))), 7.69/1.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl25])). 7.69/1.48 thf(zip_derived_cl38, plain, 7.69/1.48 (((('#sk6') 7.69/1.48 = ((^[Y0 : a]: 7.69/1.48 (((??) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & ('#sk5' @ Y1))))))))) 7.69/1.48 | ('#form4'))), 7.69/1.48 inference('simplify nested equalities', [status(thm)], [zip_derived_cl30])). 7.69/1.48 thf(zip_derived_cl352, plain, (~ ('#form4')), 7.69/1.48 inference('simplify', [status(thm)], [zip_derived_cl315])). 7.69/1.48 thf(zip_derived_cl375, plain, 7.69/1.48 ((('#sk6') 7.69/1.48 = ((^[Y0 : a]: 7.69/1.48 (((??) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & ('#sk5' @ Y1)))))))))), 7.69/1.48 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl352])). 7.69/1.48 thf(zip_derived_cl434, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 (('#sk6' @ X1) 7.69/1.48 = ((^[Y0 : a]: 7.69/1.48 (((??) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & ('#sk5' @ Y1))))))) @ 7.69/1.48 X1))), 7.69/1.48 inference('ho_complete_eq', [status(thm)], [zip_derived_cl375])). 7.69/1.48 thf(zip_derived_cl435, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 (('#sk6' @ X1) 7.69/1.48 = (((??) @ (^[Y0 : a > $o]: (((Y0 @ X1) & ('#sk5' @ Y0)))))))), 7.69/1.48 inference('ho_norm', [status(thm)], [zip_derived_cl434])). 7.69/1.48 thf(zip_derived_cl446, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 (('#sk6' @ X1) 7.69/1.48 = ((^[Y0 : a > $o]: 7.69/1.48 (((Y0 @ X1) & ('#sk5' @ (^[Y1 : a]: (Y0 @ Y1)))))) @ 7.69/1.48 ('#sk43' @ X1)))), 7.69/1.48 inference('quantifier_rw', [status(thm)], [zip_derived_cl435])). 7.69/1.48 thf(zip_derived_cl447, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 (('#sk6' @ X1) = ((('#sk43' @ X1 @ X1) & ('#sk5' @ ('#sk43' @ X1)))))), 7.69/1.48 inference('ho_norm', [status(thm)], [zip_derived_cl446])). 7.69/1.48 thf(zip_derived_cl453, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 ( ('#sk43' @ X1 @ X1) 7.69/1.48 | (('#sk6' @ X1) = ((($false) & ('#sk5' @ ('#sk43' @ X1))))))), 7.69/1.48 inference('bool_hoist', [status(thm)], [zip_derived_cl447])). 7.69/1.48 thf(zip_derived_cl454, plain, 7.69/1.48 (![X1 : a]: ( ('#sk43' @ X1 @ X1) | ~ ('#sk6' @ X1))), 7.69/1.48 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl453])). 7.69/1.48 thf(zip_derived_cl454, plain, 7.69/1.48 (![X1 : a]: ( ('#sk43' @ X1 @ X1) | ~ ('#sk6' @ X1))), 7.69/1.48 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl453])). 7.69/1.48 thf(zip_derived_cl447, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 (('#sk6' @ X1) = ((('#sk43' @ X1 @ X1) & ('#sk5' @ ('#sk43' @ X1)))))), 7.69/1.48 inference('ho_norm', [status(thm)], [zip_derived_cl446])). 7.69/1.48 thf(zip_derived_cl457, plain, 7.69/1.48 (![X0 : a]: 7.69/1.48 ((('#sk6' @ X0) = ((($true) & ('#sk5' @ ('#sk43' @ X0))))) 7.69/1.48 | ~ ('#sk6' @ X0))), 7.69/1.48 inference('sup+', [status(thm)], [zip_derived_cl454, zip_derived_cl447])). 7.69/1.48 thf(zip_derived_cl459, plain, 7.69/1.48 (![X0 : a]: 7.69/1.48 ((('#sk6' @ X0) = ('#sk5' @ ('#sk43' @ X0))) | ~ ('#sk6' @ X0))), 7.69/1.48 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl457])). 7.69/1.48 thf(zip_derived_cl460, plain, 7.69/1.48 (![X0 : a]: ( ('#sk5' @ ('#sk43' @ X0)) | ~ ('#sk6' @ X0))), 7.69/1.48 inference('local_rewriting', [status(thm)], [zip_derived_cl459])). 7.69/1.48 thf(zip_derived_cl31, plain, 7.69/1.48 ((~ ((('#sk6') = ((^[Y0 : a]: ($false))))) | ('#form4'))), 7.69/1.48 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl26])). 7.69/1.48 thf(zip_derived_cl39, plain, 7.69/1.48 (((('#sk6') != ((^[Y0 : a]: ($false)))) | ('#form4'))), 7.69/1.48 inference('simplify nested equalities', [status(thm)], [zip_derived_cl31])). 7.69/1.48 thf(zip_derived_cl59, plain, (( ('#sk6' @ '#sk19') | ('#form4'))), 7.69/1.48 inference('neg_ext', [status(thm)], [zip_derived_cl39])). 7.69/1.48 thf(zip_derived_cl352, plain, (~ ('#form4')), 7.69/1.48 inference('simplify', [status(thm)], [zip_derived_cl315])). 7.69/1.48 thf(zip_derived_cl379, plain, ( ('#sk6' @ '#sk19')), 7.69/1.48 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl352])). 7.69/1.48 thf(zip_derived_cl460, plain, 7.69/1.48 (![X0 : a]: ( ('#sk5' @ ('#sk43' @ X0)) | ~ ('#sk6' @ X0))), 7.69/1.48 inference('local_rewriting', [status(thm)], [zip_derived_cl459])). 7.69/1.48 thf(zip_derived_cl29, plain, 7.69/1.48 (( (((!!) @ (^[Y0 : a > $o]: 7.69/1.48 ((('#sk5' @ Y0) => 7.69/1.48 (((((Y0) = ((^[Y1 : a]: ($true))))) | 7.69/1.48 (((Y0) = ((^[Y1 : a]: ($false)))))))))))) 7.69/1.48 | ('#form4'))), 7.69/1.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl25])). 7.69/1.48 thf(zip_derived_cl33, plain, 7.69/1.48 (![X2 : a > $o]: 7.69/1.48 ( ((('#sk5' @ X2) => 7.69/1.48 (((((X2) = ((^[Y0 : a]: ($true))))) | 7.69/1.48 (((X2) = ((^[Y0 : a]: ($false))))))))) 7.69/1.48 | ('#form4'))), 7.69/1.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])). 7.69/1.48 thf(zip_derived_cl41, plain, 7.69/1.48 (![X2 : a > $o]: 7.69/1.48 (~ ('#sk5' @ X2) 7.69/1.48 | (((((X2) = ((^[Y0 : a]: ($true))))) | 7.69/1.48 (((X2) = ((^[Y0 : a]: ($false))))))) 7.69/1.48 | ('#form4'))), 7.69/1.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl33])). 7.69/1.48 thf(zip_derived_cl42, plain, 7.69/1.48 (![X2 : a > $o]: 7.69/1.48 ( (((X2) = ((^[Y0 : a]: ($true))))) 7.69/1.48 | (((X2) = ((^[Y0 : a]: ($false))))) 7.69/1.48 | ('#form4') 7.69/1.48 | ~ ('#sk5' @ X2))), 7.69/1.48 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl41])). 7.69/1.48 thf(zip_derived_cl43, plain, 7.69/1.48 (![X2 : a > $o]: 7.69/1.48 (((X2) = ((^[Y0 : a]: ($true)))) 7.69/1.48 | ((X2) = ((^[Y0 : a]: ($false)))) 7.69/1.48 | ('#form4') 7.69/1.48 | ~ ('#sk5' @ X2))), 7.69/1.48 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])). 7.69/1.48 thf(zip_derived_cl352, plain, (~ ('#form4')), 7.69/1.48 inference('simplify', [status(thm)], [zip_derived_cl315])). 7.69/1.48 thf(zip_derived_cl378, plain, 7.69/1.48 (![X2 : a > $o]: 7.69/1.48 (((X2) = ((^[Y0 : a]: ($true)))) 7.69/1.48 | ((X2) = ((^[Y0 : a]: ($false)))) 7.69/1.48 | ~ ('#sk5' @ X2))), 7.69/1.48 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl352])). 7.69/1.48 thf(zip_derived_cl484, plain, 7.69/1.48 (![X0 : a]: 7.69/1.48 (~ ('#sk6' @ X0) 7.69/1.48 | (('#sk43' @ X0) = ((^[Y0 : a]: ($false)))) 7.69/1.48 | (('#sk43' @ X0) = ((^[Y0 : a]: ($true)))))), 7.69/1.48 inference('sup-', [status(thm)], [zip_derived_cl460, zip_derived_cl378])). 7.69/1.48 thf(zip_derived_cl508, plain, 7.69/1.48 (((('#sk43' @ '#sk19') = ((^[Y0 : a]: ($true)))) 7.69/1.48 | (('#sk43' @ '#sk19') = ((^[Y0 : a]: ($false)))))), 7.69/1.48 inference('sup-', [status(thm)], [zip_derived_cl379, zip_derived_cl484])). 7.69/1.48 thf(zip_derived_cl512, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 ((('#sk43' @ '#sk19' @ X1) = ((^[Y0 : a]: ($false)) @ X1)) 7.69/1.48 | (('#sk43' @ '#sk19') = ((^[Y0 : a]: ($true)))))), 7.69/1.48 inference('ho_complete_eq', [status(thm)], [zip_derived_cl508])). 7.69/1.48 thf(zip_derived_cl513, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 (~ ('#sk43' @ '#sk19' @ X1) 7.69/1.48 | (('#sk43' @ '#sk19') = ((^[Y0 : a]: ($true)))))), 7.69/1.48 inference('ho_norm', [status(thm)], [zip_derived_cl512])). 7.69/1.48 thf(zip_derived_cl38, plain, 7.69/1.48 (((('#sk6') 7.69/1.48 = ((^[Y0 : a]: 7.69/1.48 (((??) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & ('#sk5' @ Y1))))))))) 7.69/1.48 | ('#form4'))), 7.69/1.48 inference('simplify nested equalities', [status(thm)], [zip_derived_cl30])). 7.69/1.48 thf(zip_derived_cl230, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 ((('#sk6' @ X1) 7.69/1.48 = ((^[Y0 : a]: 7.69/1.48 (((??) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & ('#sk5' @ Y1))))))) @ 7.69/1.48 X1)) 7.69/1.48 | ('#form4'))), 7.69/1.48 inference('ho_complete_eq', [status(thm)], [zip_derived_cl38])). 7.69/1.48 thf(zip_derived_cl231, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 ((('#sk6' @ X1) 7.69/1.48 = (((??) @ (^[Y0 : a > $o]: (((Y0 @ X1) & ('#sk5' @ Y0))))))) 7.69/1.48 | ('#form4'))), 7.69/1.48 inference('ho_norm', [status(thm)], [zip_derived_cl230])). 7.69/1.48 thf(zip_derived_cl352, plain, (~ ('#form4')), 7.69/1.48 inference('simplify', [status(thm)], [zip_derived_cl315])). 7.69/1.48 thf(zip_derived_cl463, plain, 7.69/1.48 (![X1 : a]: 7.69/1.48 (('#sk6' @ X1) 7.69/1.48 = (((??) @ (^[Y0 : a > $o]: (((Y0 @ X1) & ('#sk5' @ Y0)))))))), 7.69/1.48 inference('demod', [status(thm)], [zip_derived_cl231, zip_derived_cl352])). 7.69/1.48 thf(zip_derived_cl464, plain, 7.69/1.48 (![X-90 : a > $o, X1 : a]: 7.69/1.48 (~ ((^[Y0 : a > $o]: (((Y0 @ X1) & ('#sk5' @ Y0)))) @ X-90) 7.69/1.48 | ('#sk6' @ X1))), 7.69/1.48 inference('exists_hoist', [status(thm)], [zip_derived_cl463])). 7.69/1.48 thf(zip_derived_cl473, plain, 7.69/1.48 (![X-90 : a > $o, X1 : a]: 7.69/1.48 (~ (((X-90 @ X1) & ('#sk5' @ X-90))) | ('#sk6' @ X1))), 7.69/1.48 inference('ho_norm', [status(thm)], [zip_derived_cl464])). 7.69/1.48 thf(zip_derived_cl474, plain, 7.69/1.48 (![X1 : a, X2 : a > $o]: 7.69/1.48 (~ (((X2 @ X1) & ('#sk5' @ X2))) | ('#sk6' @ X1))), 7.69/1.48 inference('cannonize vars', [status(thm)], [zip_derived_cl473])). 7.69/1.48 thf(zip_derived_cl475, plain, 7.69/1.48 (![X1 : a, X2 : a > $o]: (~ (X2 @ X1) | ~ ('#sk5' @ X2) | ('#sk6' @ X1))), 7.69/1.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl474])). 7.69/1.48 thf(zip_derived_cl810, plain, 7.69/1.48 (![X0 : a, X1 : a]: 7.69/1.48 (~ ('#sk5' @ ('#sk43' @ '#sk19')) 7.69/1.48 | ~ ('#sk43' @ '#sk19' @ X1) 7.69/1.48 | ('#sk6' @ X0) 7.69/1.48 | ~ ((^[Y0 : a]: ($true)) @ X0))), 7.69/1.48 inference('sup-', [status(thm)], [zip_derived_cl513, zip_derived_cl475])). 7.69/1.48 thf(zip_derived_cl813, plain, 7.69/1.48 (![X0 : a, X1 : a]: 7.69/1.48 (~ ('#sk5' @ ('#sk43' @ '#sk19')) 7.69/1.48 | ~ ('#sk43' @ '#sk19' @ X1) 7.69/1.48 | ('#sk6' @ X0))), 7.69/1.48 inference('ho_norm', [status(thm)], [zip_derived_cl810])). 7.69/1.48 thf(zip_derived_cl2314, plain, 7.69/1.48 (![X0 : a, X1 : a]: 7.69/1.48 (~ ('#sk6' @ '#sk19') | ('#sk6' @ X0) | ~ ('#sk43' @ '#sk19' @ X1))), 7.69/1.48 inference('sup-', [status(thm)], [zip_derived_cl460, zip_derived_cl813])). 7.69/1.48 thf(zip_derived_cl379, plain, ( ('#sk6' @ '#sk19')), 7.69/1.48 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl352])). 7.69/1.48 thf(zip_derived_cl2316, plain, 7.69/1.48 (![X0 : a, X1 : a]: ( ('#sk6' @ X0) | ~ ('#sk43' @ '#sk19' @ X1))), 7.69/1.48 inference('demod', [status(thm)], [zip_derived_cl2314, zip_derived_cl379])). 7.69/1.48 thf(zip_derived_cl2319, plain, 7.69/1.48 (![X0 : a]: (~ ('#sk6' @ '#sk19') | ('#sk6' @ X0))), 7.69/1.48 inference('sup-', [status(thm)], [zip_derived_cl454, zip_derived_cl2316])). 7.69/1.48 thf(zip_derived_cl379, plain, ( ('#sk6' @ '#sk19')), 7.69/1.48 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl352])). 7.69/1.48 thf(zip_derived_cl2320, plain, (![X0 : a]: ('#sk6' @ X0)), 7.69/1.48 inference('demod', [status(thm)], [zip_derived_cl2319, zip_derived_cl379])). 7.69/1.48 thf(zip_derived_cl2322, plain, ($false), 7.69/1.48 inference('demod', [status(thm)], [zip_derived_cl380, zip_derived_cl2320])). 7.69/1.48 7.69/1.48 % SZS output end Refutation 7.69/1.48 7.69/1.48 7.69/1.48 % Terminating... 7.69/1.52 % Runner terminated. 7.69/1.53 % Zipperpin 1.5 exiting 7.69/1.54 EOF