0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BDZuK0IC5E true 0.10/0.33 % Computer : n020.cluster.edu 0.10/0.33 % Model : x86_64 x86_64 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.33 % Memory : 8042.1875MB 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.33 % CPULimit : 1440 0.10/0.33 % WCLimit : 180 0.10/0.33 % DateTime : Mon Jul 3 10:03:31 EDT 2023 0.10/0.33 % CPUTime : 0.10/0.33 % Running portfolio for 1440 s 0.10/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.10/0.34 % Number of cores: 8 0.10/0.34 % Python version: Python 3.6.8 0.10/0.34 % Running in HO mode 0.46/0.58 % Total configuration time : 828 0.46/0.58 % Estimated wc time : 1656 0.46/0.58 % Estimated cpu time (8 cpus) : 207.0 0.73/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.73/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.73/0.70 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.73/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.84/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.84/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.86/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.86/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 5.65/1.91 % Solved by lams/30_sp5.sh. 5.65/1.91 % done 89 iterations in 0.997s 5.65/1.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 5.65/1.91 % SZS output start Refutation 5.65/1.91 thf(a_type, type, a: $tType). 5.65/1.91 thf('#sk39_type', type, '#sk39': (a > $o) > a). 5.65/1.91 thf('#sk32_type', type, '#sk32': a > $o). 5.65/1.91 thf('#form31_type', type, '#form31': $o). 5.65/1.91 thf('#form38_type', type, '#form38': (a > $o) > $o). 5.65/1.91 thf('#sk58_type', type, '#sk58': a). 5.65/1.91 thf(cP_type, type, cP: (a > $o) > $o). 5.65/1.91 thf('#sk5_type', type, '#sk5': a > $o). 5.65/1.91 thf('#sk12_type', type, '#sk12': a > $o). 5.65/1.91 thf('#sk10_type', type, '#sk10': (a > $o) > a). 5.65/1.91 thf(cTHM555_pme, conjecture, 5.65/1.91 (( ( ![Xx:a,Xp:( a > $o ),Xq:( a > $o )]: 5.65/1.91 ( ( ( cP @ Xq ) & ( Xp @ Xx ) & ( Xq @ Xx ) & ( cP @ Xp ) ) => 5.65/1.91 ( ( Xp ) = ( Xq ) ) ) ) & 5.65/1.91 ( ![Xp:( a > $o )]: ( ( cP @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) ) => 5.65/1.91 ( ?[S:( a > $o )]: 5.65/1.91 ( ( ![Xb:( a > $o ),Xc:( a > $o )]: 5.65/1.91 ( ( ( cP @ Xc ) & ( ?[Xx:a]: ( ( Xc @ Xx ) & ( Xb @ Xx ) ) ) & 5.65/1.91 ( cP @ Xb ) ) => 5.65/1.91 ( ( Xb ) = ( Xc ) ) ) ) & 5.65/1.91 ( ![Xx:a]: 5.65/1.91 ( ( ?[S0:( a > $o )]: ( ( cP @ S0 ) & ( S0 @ Xx ) ) ) <=> ( S @ Xx ) ) ) & 5.65/1.91 ( ![Xa:( a > $o )]: ( ( cP @ Xa ) => ( ?[Xx:a]: ( Xa @ Xx ) ) ) ) ) ))). 5.65/1.91 thf(zf_stmt_0, negated_conjecture, 5.65/1.91 (~( ( ( ![Xx:a,Xp:( a > $o ),Xq:( a > $o )]: 5.65/1.91 ( ( ( cP @ Xq ) & ( Xp @ Xx ) & ( Xq @ Xx ) & ( cP @ Xp ) ) => 5.65/1.91 ( ( Xp ) = ( Xq ) ) ) ) & 5.65/1.91 ( ![Xp:( a > $o )]: ( ( cP @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) ) => 5.65/1.91 ( ?[S:( a > $o )]: 5.65/1.91 ( ( ![Xb:( a > $o ),Xc:( a > $o )]: 5.65/1.91 ( ( ( cP @ Xc ) & ( ?[Xx:a]: ( ( Xc @ Xx ) & ( Xb @ Xx ) ) ) & 5.65/1.91 ( cP @ Xb ) ) => 5.65/1.91 ( ( Xb ) = ( Xc ) ) ) ) & 5.65/1.91 ( ![Xx:a]: 5.65/1.91 ( ( ?[S0:( a > $o )]: ( ( cP @ S0 ) & ( S0 @ Xx ) ) ) <=> 5.65/1.91 ( S @ Xx ) ) ) & 5.65/1.91 ( ![Xa:( a > $o )]: ( ( cP @ Xa ) => ( ?[Xx:a]: ( Xa @ Xx ) ) ) ) ) ) )), 5.65/1.91 inference('cnf.neg', [status(esa)], [cTHM555_pme])). 5.65/1.91 thf(zip_derived_cl0, plain, 5.65/1.91 (~ (((((((!!) @ (^[Y0 : a]: 5.65/1.91 (((!!) @ (^[Y1 : a > $o]: 5.65/1.91 (((!!) @ (^[Y2 : a > $o]: 5.65/1.91 (((((cP @ Y2) & (Y1 @ Y0) & 5.65/1.91 (Y2 @ Y0) & (cP @ Y1))) => 5.65/1.91 (((Y1) = (Y2)))))))))))))) & 5.65/1.91 (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))))) => 5.65/1.91 (((??) @ (^[Y0 : a > $o]: 5.65/1.91 (((((!!) @ (^[Y1 : a > $o]: 5.65/1.91 (((!!) @ (^[Y2 : a > $o]: 5.65/1.91 (((((cP @ Y2) & 5.65/1.91 (((??) @ (^[Y3 : a]: 5.65/1.91 (((Y2 @ Y3) & 5.65/1.91 (Y1 @ Y3)))))) & 5.65/1.91 (cP @ Y1))) => 5.65/1.91 (((Y1) = (Y2))))))))))) & 5.65/1.91 (((!!) @ (^[Y1 : a]: 5.65/1.91 (((((??) @ (^[Y2 : a > $o]: 5.65/1.91 (((cP @ Y2) & (Y2 @ Y1)))))) <=> 5.65/1.91 (Y0 @ Y1)))))) & 5.65/1.91 (((!!) @ (^[Y1 : a > $o]: 5.65/1.91 (((cP @ Y1) => 5.65/1.91 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))))))))))), 5.65/1.91 inference('cnf', [status(esa)], [zf_stmt_0])). 5.65/1.91 thf(zip_derived_cl2, plain, 5.65/1.91 (~ (((??) @ (^[Y0 : a > $o]: 5.65/1.91 (((((!!) @ (^[Y1 : a > $o]: 5.65/1.91 (((!!) @ (^[Y2 : a > $o]: 5.65/1.91 (((((cP @ Y2) & 5.65/1.91 (((??) @ (^[Y3 : a]: 5.65/1.91 (((Y2 @ Y3) & 5.65/1.91 (Y1 @ Y3)))))) & 5.65/1.91 (cP @ Y1))) => 5.65/1.91 (((Y1) = (Y2))))))))))) & 5.65/1.91 (((!!) @ (^[Y1 : a]: 5.65/1.91 (((((??) @ (^[Y2 : a > $o]: 5.65/1.91 (((cP @ Y2) & (Y2 @ Y1)))))) <=> 5.65/1.91 (Y0 @ Y1)))))) & 5.65/1.91 (((!!) @ (^[Y1 : a > $o]: 5.65/1.91 (((cP @ Y1) => 5.65/1.91 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))))))))), 5.65/1.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])). 5.65/1.91 thf(zip_derived_cl5, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 ~ (((((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((!!) @ (^[Y1 : a > $o]: 5.65/1.91 (((((cP @ Y1) & 5.65/1.91 (((??) @ (^[Y2 : a]: 5.65/1.91 (((Y1 @ Y2) & (Y0 @ Y2)))))) & 5.65/1.91 (cP @ Y0))) => 5.65/1.91 (((Y0) = (Y1))))))))))) & 5.65/1.91 (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))) & 5.65/1.91 (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))))))), 5.65/1.91 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 5.65/1.91 thf(zip_derived_cl14, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 (~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((!!) @ (^[Y1 : a > $o]: 5.65/1.91 (((((cP @ Y1) & 5.65/1.91 (((??) @ (^[Y2 : a]: 5.65/1.91 (((Y1 @ Y2) & (Y0 @ Y2)))))) & 5.65/1.91 (cP @ Y0))) => 5.65/1.91 (((Y0) = (Y1))))))))))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))))), 5.65/1.91 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 5.65/1.91 thf(zip_derived_cl20, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 (~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((((cP @ Y0) & 5.65/1.91 (((??) @ (^[Y1 : a]: (((Y0 @ Y1) & ('#sk5' @ Y1)))))) & 5.65/1.91 (cP @ '#sk5'))) => 5.65/1.91 ((('#sk5') = (Y0)))))))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))))), 5.65/1.91 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl14])). 5.65/1.91 thf(zip_derived_cl26, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 (~ (((((cP @ '#sk12') & 5.65/1.91 (((??) @ (^[Y0 : a]: ((('#sk12' @ Y0) & ('#sk5' @ Y0)))))) & 5.65/1.91 (cP @ '#sk5'))) => 5.65/1.91 ((('#sk5') = ('#sk12'))))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))))), 5.65/1.91 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl20])). 5.65/1.91 thf(zip_derived_cl28, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 ( (((cP @ '#sk12') & 5.65/1.91 (((??) @ (^[Y0 : a]: ((('#sk12' @ Y0) & ('#sk5' @ Y0)))))) & 5.65/1.91 (cP @ '#sk5'))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))))), 5.65/1.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl26])). 5.65/1.91 thf(zip_derived_cl32, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 ( (cP @ '#sk12') 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))))), 5.65/1.91 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])). 5.65/1.91 thf(zip_derived_cl39, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 ( ('#form38' @ X2) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))))), 5.65/1.91 define([status(thm)])). 5.65/1.91 thf(zip_derived_cl40, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 (~ (((((??) @ (^[Y0 : a > $o]: (((cP @ Y0) & (Y0 @ ('#sk39' @ X2))))))) <=> 5.65/1.91 (X2 @ ('#sk39' @ X2)))) 5.65/1.91 | ('#form38' @ X2))), 5.65/1.91 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl39])). 5.65/1.91 thf(zip_derived_cl48, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 (((((??) @ (^[Y0 : a > $o]: (((cP @ Y0) & (Y0 @ ('#sk39' @ X2))))))) 5.65/1.91 != (X2 @ ('#sk39' @ X2))) 5.65/1.91 | ('#form38' @ X2))), 5.65/1.91 inference('simplify nested equalities', [status(thm)], [zip_derived_cl40])). 5.65/1.91 thf(zip_derived_cl340, plain, 5.65/1.91 ( ('#form38' @ 5.65/1.91 (^[Y0 : a]: 5.65/1.91 (((??) @ ((^[Y1 : a,Y2 : a > $o]: 5.65/1.91 ((((^[Y3 : a,Y4 : a > $o]: 5.65/1.91 (cP @ 5.65/1.91 ((^[Y5 : a,Y6 : a > $o,Y7 : a]: 5.65/1.91 (Y6 @ 5.65/1.91 ((^[Y8 : a,Y9 : a > $o,Y10 : a]: (Y10)) @ 5.65/1.91 Y5 @ Y6 @ Y7))) @ 5.65/1.91 Y3 @ Y4))) @ 5.65/1.91 Y1 @ Y2) & 5.65/1.91 ((^[Y3 : a,Y4 : a > $o]: 5.65/1.91 (Y4 @ ((^[Y5 : a,Y6 : a > $o]: (Y5)) @ Y3 @ Y4))) @ 5.65/1.91 Y1 @ Y2)))) @ 5.65/1.91 Y0)))))), 5.65/1.91 inference('eq_res', [status(thm)], [zip_derived_cl48])). 5.65/1.91 thf(zip_derived_cl344, plain, 5.65/1.91 ( ('#form38' @ 5.65/1.91 (^[Y0 : a]: (((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0))))))))), 5.65/1.91 inference('ho_norm', [status(thm)], [zip_derived_cl340])). 5.65/1.91 thf(zip_derived_cl33, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 ( (((??) @ (^[Y0 : a]: ((('#sk12' @ Y0) & ('#sk5' @ Y0)))))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))))), 5.65/1.91 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])). 5.65/1.91 thf(zip_derived_cl39, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 ( ('#form38' @ X2) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))))), 5.65/1.91 define([status(thm)])). 5.65/1.91 thf(zip_derived_cl42, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 (~ ('#form38' @ (^[Y0 : a]: (X2 @ Y0))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) 5.65/1.91 | (((??) @ (^[Y0 : a]: ((('#sk12' @ Y0) & ('#sk5' @ Y0)))))))), 5.65/1.91 inference('renaming', [status(thm)], [zip_derived_cl33, zip_derived_cl39])). 5.65/1.91 thf(zip_derived_cl49, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 (~ ('#form38' @ X2) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) 5.65/1.91 | (((??) @ (^[Y0 : a]: ((('#sk12' @ Y0) & ('#sk5' @ Y0)))))))), 5.65/1.91 inference('ho_norm', [status(thm)], [zip_derived_cl42])). 5.65/1.91 thf(zip_derived_cl29, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 (~ ((('#sk5') = ('#sk12'))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))))), 5.65/1.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl26])). 5.65/1.91 thf(zip_derived_cl35, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 ((('#sk5') != ('#sk12')) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))))), 5.65/1.91 inference('simplify nested equalities', [status(thm)], [zip_derived_cl29])). 5.65/1.91 thf(zip_derived_cl36, plain, 5.65/1.91 (( ('#form31') 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))))), 5.65/1.91 define([status(thm)])). 5.65/1.91 thf(zip_derived_cl50, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 (~ ('#form31') 5.65/1.91 | (((??) @ (^[Y0 : a]: ((('#sk12' @ Y0) & ('#sk5' @ Y0)))))) 5.65/1.91 | ~ ('#form38' @ X2))), 5.65/1.91 inference('renaming', [status(thm)], [zip_derived_cl49, zip_derived_cl36])). 5.65/1.91 thf(zip_derived_cl55, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 ( ((('#sk12' @ '#sk58') & ('#sk5' @ '#sk58'))) 5.65/1.91 | ~ ('#form38' @ X2) 5.65/1.91 | ~ ('#form31'))), 5.65/1.91 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl50])). 5.65/1.91 thf(zip_derived_cl56, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 ( ('#sk12' @ '#sk58') | ~ ('#form31') | ~ ('#form38' @ X2))), 5.65/1.91 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl55])). 5.65/1.91 thf(zip_derived_cl36, plain, 5.65/1.91 (( ('#form31') 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))))), 5.65/1.91 define([status(thm)])). 5.65/1.91 thf(zip_derived_cl37, plain, 5.65/1.91 ((~ (((cP @ '#sk32') => (((??) @ (^[Y0 : a]: ('#sk32' @ Y0)))))) 5.65/1.91 | ('#form31'))), 5.65/1.91 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl36])). 5.65/1.91 thf(zip_derived_cl45, plain, (( (cP @ '#sk32') | ('#form31'))), 5.65/1.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl37])). 5.65/1.91 thf(zip_derived_cl1, plain, 5.65/1.91 ( (((((!!) @ (^[Y0 : a]: 5.65/1.91 (((!!) @ (^[Y1 : a > $o]: 5.65/1.91 (((!!) @ (^[Y2 : a > $o]: 5.65/1.91 (((((cP @ Y2) & (Y1 @ Y0) & 5.65/1.91 (Y2 @ Y0) & (cP @ Y1))) => 5.65/1.91 (((Y1) = (Y2)))))))))))))) & 5.65/1.91 (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))))))), 5.65/1.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])). 5.65/1.91 thf(zip_derived_cl4, plain, 5.65/1.91 ( (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))))), 5.65/1.91 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])). 5.65/1.91 thf(zip_derived_cl10, plain, 5.65/1.91 (![X2 : a > $o]: (((cP @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0))))))), 5.65/1.91 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 5.65/1.91 thf(zip_derived_cl19, plain, 5.65/1.91 (![X2 : a > $o]: (~ (cP @ X2) | (((??) @ (^[Y0 : a]: (X2 @ Y0)))))), 5.65/1.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])). 5.65/1.91 thf(zip_derived_cl25, plain, 5.65/1.91 (![X2 : a > $o]: ( (X2 @ ('#sk10' @ X2)) | ~ (cP @ X2))), 5.65/1.91 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 5.65/1.91 thf(zip_derived_cl46, plain, 5.65/1.91 ((~ (((??) @ (^[Y0 : a]: ('#sk32' @ Y0)))) | ('#form31'))), 5.65/1.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl37])). 5.65/1.91 thf(zip_derived_cl54, plain, (![X2 : a]: (~ ('#sk32' @ X2) | ('#form31'))), 5.65/1.91 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl46])). 5.65/1.91 thf(zip_derived_cl153, plain, 5.65/1.91 (![X0 : a > a]: 5.65/1.91 (~ (cP @ (^[Y0 : a]: ('#sk32' @ (X0 @ Y0)))) | ('#form31'))), 5.65/1.91 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl54])). 5.65/1.91 thf(zip_derived_cl172, plain, (( ('#form31') | ('#form31'))), 5.65/1.91 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl153])). 5.65/1.91 thf(zip_derived_cl174, plain, ( ('#form31')), 5.65/1.91 inference('simplify', [status(thm)], [zip_derived_cl172])). 5.65/1.91 thf(zip_derived_cl355, plain, 5.65/1.91 (![X2 : a > $o]: ( ('#sk12' @ '#sk58') | ~ ('#form38' @ X2))), 5.65/1.91 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl174])). 5.65/1.91 thf(zip_derived_cl363, plain, ( ('#sk12' @ '#sk58')), 5.65/1.91 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl355])). 5.65/1.91 thf(zip_derived_cl57, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 ( ('#sk5' @ '#sk58') | ~ ('#form31') | ~ ('#form38' @ X2))), 5.65/1.91 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl55])). 5.65/1.91 thf(zip_derived_cl174, plain, ( ('#form31')), 5.65/1.91 inference('simplify', [status(thm)], [zip_derived_cl172])). 5.65/1.91 thf(zip_derived_cl420, plain, 5.65/1.91 (![X2 : a > $o]: ( ('#sk5' @ '#sk58') | ~ ('#form38' @ X2))), 5.65/1.91 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl174])). 5.65/1.91 thf(zip_derived_cl344, plain, 5.65/1.91 ( ('#form38' @ 5.65/1.91 (^[Y0 : a]: (((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0))))))))), 5.65/1.91 inference('ho_norm', [status(thm)], [zip_derived_cl340])). 5.65/1.91 thf(zip_derived_cl421, plain, ( ('#sk5' @ '#sk58')), 5.65/1.91 inference('sup+', [status(thm)], [zip_derived_cl420, zip_derived_cl344])). 5.65/1.91 thf(zip_derived_cl3, plain, 5.65/1.91 ( (((!!) @ (^[Y0 : a]: 5.65/1.91 (((!!) @ (^[Y1 : a > $o]: 5.65/1.91 (((!!) @ (^[Y2 : a > $o]: 5.65/1.91 (((((cP @ Y2) & (Y1 @ Y0) & 5.65/1.91 (Y2 @ Y0) & (cP @ Y1))) => 5.65/1.91 (((Y1) = (Y2))))))))))))))), 5.65/1.91 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])). 5.65/1.91 thf(zip_derived_cl9, plain, 5.65/1.91 (![X2 : a]: 5.65/1.91 (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((!!) @ (^[Y1 : a > $o]: 5.65/1.91 (((((cP @ Y1) & (Y0 @ X2) & (Y1 @ X2) & 5.65/1.91 (cP @ Y0))) => 5.65/1.91 (((Y0) = (Y1)))))))))))), 5.65/1.91 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 5.65/1.91 thf(zip_derived_cl15, plain, 5.65/1.91 (![X2 : a, X4 : a > $o]: 5.65/1.91 (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((((cP @ Y0) & (X4 @ X2) & (Y0 @ X2) & (cP @ X4))) => 5.65/1.91 (((X4) = (Y0))))))))), 5.65/1.91 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 5.65/1.91 thf(zip_derived_cl21, plain, 5.65/1.91 (![X2 : a, X4 : a > $o, X6 : a > $o]: 5.65/1.91 (((((cP @ X6) & (X4 @ X2) & (X6 @ X2) & (cP @ X4))) => 5.65/1.91 (((X4) = (X6)))))), 5.65/1.91 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])). 5.65/1.91 thf(zip_derived_cl27, plain, 5.65/1.91 (![X2 : a, X4 : a > $o, X6 : a > $o]: 5.65/1.91 (~ (((cP @ X6) & (X4 @ X2) & (X6 @ X2) & (cP @ X4))) 5.65/1.91 | (((X4) = (X6))))), 5.65/1.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 5.65/1.91 thf(zip_derived_cl30, plain, 5.65/1.91 (![X2 : a, X4 : a > $o, X6 : a > $o]: 5.65/1.91 (~ (((cP @ X6) & (X4 @ X2) & (X6 @ X2) & (cP @ X4))) | ((X4) = (X6)))), 5.65/1.91 inference('simplify nested equalities', [status(thm)], [zip_derived_cl27])). 5.65/1.91 thf(zip_derived_cl31, plain, 5.65/1.91 (![X2 : a, X4 : a > $o, X6 : a > $o]: 5.65/1.91 (~ (cP @ X6) | ~ (X4 @ X2) | ~ (X6 @ X2) | ~ (cP @ X4) | ((X4) = (X6)))), 5.65/1.91 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])). 5.65/1.91 thf(zip_derived_cl433, plain, 5.65/1.91 (![X0 : a > $o]: 5.65/1.91 ((((^[Y0 : a]: ('#sk5' @ ((^[Y1 : a]: (Y1)) @ Y0)))) = (X0)) 5.65/1.91 | ~ (cP @ (^[Y0 : a]: ('#sk5' @ ((^[Y1 : a]: (Y1)) @ Y0)))) 5.65/1.91 | ~ (X0 @ '#sk58') 5.65/1.91 | ~ (cP @ X0))), 5.65/1.91 inference('sup-', [status(thm)], [zip_derived_cl421, zip_derived_cl31])). 5.65/1.91 thf(zip_derived_cl439, plain, 5.65/1.91 (![X0 : a > $o]: 5.65/1.91 ((('#sk5') = (X0)) | ~ (cP @ '#sk5') | ~ (X0 @ '#sk58') | ~ (cP @ X0))), 5.65/1.91 inference('ho_norm', [status(thm)], [zip_derived_cl433])). 5.65/1.91 thf(zip_derived_cl344, plain, 5.65/1.91 ( ('#form38' @ 5.65/1.91 (^[Y0 : a]: (((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0))))))))), 5.65/1.91 inference('ho_norm', [status(thm)], [zip_derived_cl340])). 5.65/1.91 thf(zip_derived_cl34, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 ( (cP @ '#sk5') 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))))), 5.65/1.91 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])). 5.65/1.91 thf(zip_derived_cl39, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 ( ('#form38' @ X2) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))))), 5.65/1.91 define([status(thm)])). 5.65/1.91 thf(zip_derived_cl43, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 (~ ('#form38' @ (^[Y0 : a]: (X2 @ Y0))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) 5.65/1.91 | (cP @ '#sk5'))), 5.65/1.91 inference('renaming', [status(thm)], [zip_derived_cl34, zip_derived_cl39])). 5.65/1.91 thf(zip_derived_cl51, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 (~ ('#form38' @ X2) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) 5.65/1.91 | (cP @ '#sk5'))), 5.65/1.91 inference('ho_norm', [status(thm)], [zip_derived_cl43])). 5.65/1.91 thf(zip_derived_cl36, plain, 5.65/1.91 (( ('#form31') 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))))), 5.65/1.91 define([status(thm)])). 5.65/1.91 thf(zip_derived_cl52, plain, 5.65/1.91 (![X2 : a > $o]: (~ ('#form31') | (cP @ '#sk5') | ~ ('#form38' @ X2))), 5.65/1.91 inference('renaming', [status(thm)], [zip_derived_cl51, zip_derived_cl36])). 5.65/1.91 thf(zip_derived_cl174, plain, ( ('#form31')), 5.65/1.91 inference('simplify', [status(thm)], [zip_derived_cl172])). 5.65/1.91 thf(zip_derived_cl318, plain, 5.65/1.91 (![X2 : a > $o]: ( (cP @ '#sk5') | ~ ('#form38' @ X2))), 5.65/1.91 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl174])). 5.65/1.91 thf(zip_derived_cl364, plain, ( (cP @ '#sk5')), 5.65/1.91 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl318])). 5.65/1.91 thf(zip_derived_cl440, plain, 5.65/1.91 (![X0 : a > $o]: ((('#sk5') = (X0)) | ~ (X0 @ '#sk58') | ~ (cP @ X0))), 5.65/1.91 inference('demod', [status(thm)], [zip_derived_cl439, zip_derived_cl364])). 5.65/1.91 thf(zip_derived_cl479, plain, 5.65/1.91 ((~ (cP @ (^[Y0 : a]: ('#sk12' @ Y0))) 5.65/1.91 | (('#sk5') = ((^[Y0 : a]: ('#sk12' @ Y0)))))), 5.65/1.91 inference('sup-', [status(thm)], [zip_derived_cl363, zip_derived_cl440])). 5.65/1.91 thf(zip_derived_cl498, plain, ((~ (cP @ '#sk12') | (('#sk5') = ('#sk12')))), 5.65/1.91 inference('ho_norm', [status(thm)], [zip_derived_cl479])). 5.65/1.91 thf(zip_derived_cl344, plain, 5.65/1.91 ( ('#form38' @ 5.65/1.91 (^[Y0 : a]: (((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0))))))))), 5.65/1.91 inference('ho_norm', [status(thm)], [zip_derived_cl340])). 5.65/1.91 thf(zip_derived_cl32, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 ( (cP @ '#sk12') 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))))), 5.65/1.91 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])). 5.65/1.91 thf(zip_derived_cl39, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 ( ('#form38' @ X2) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))))), 5.65/1.91 define([status(thm)])). 5.65/1.91 thf(zip_derived_cl41, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 (~ ('#form38' @ X2) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) 5.65/1.91 | (cP @ '#sk12'))), 5.65/1.91 inference('renaming', [status(thm)], [zip_derived_cl32, zip_derived_cl39])). 5.65/1.91 thf(zip_derived_cl36, plain, 5.65/1.91 (( ('#form31') 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))))), 5.65/1.91 define([status(thm)])). 5.65/1.91 thf(zip_derived_cl47, plain, 5.65/1.91 (![X2 : a > $o]: (~ ('#form31') | (cP @ '#sk12') | ~ ('#form38' @ X2))), 5.65/1.91 inference('renaming', [status(thm)], [zip_derived_cl41, zip_derived_cl36])). 5.65/1.91 thf(zip_derived_cl174, plain, ( ('#form31')), 5.65/1.91 inference('simplify', [status(thm)], [zip_derived_cl172])). 5.65/1.91 thf(zip_derived_cl302, plain, 5.65/1.91 (![X2 : a > $o]: ( (cP @ '#sk12') | ~ ('#form38' @ X2))), 5.65/1.91 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl174])). 5.65/1.91 thf(zip_derived_cl365, plain, ( (cP @ '#sk12')), 5.65/1.91 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl302])). 5.65/1.91 thf(zip_derived_cl499, plain, ((('#sk5') = ('#sk12'))), 5.65/1.91 inference('demod', [status(thm)], [zip_derived_cl498, zip_derived_cl365])). 5.65/1.91 thf(zip_derived_cl344, plain, 5.65/1.91 ( ('#form38' @ 5.65/1.91 (^[Y0 : a]: (((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0))))))))), 5.65/1.91 inference('ho_norm', [status(thm)], [zip_derived_cl340])). 5.65/1.91 thf(zip_derived_cl35, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 ((('#sk5') != ('#sk12')) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))))), 5.65/1.91 inference('simplify nested equalities', [status(thm)], [zip_derived_cl29])). 5.65/1.91 thf(zip_derived_cl36, plain, 5.65/1.91 (( ('#form31') 5.65/1.91 | ~ (((!!) @ (^[Y0 : a > $o]: 5.65/1.91 (((cP @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))))), 5.65/1.91 define([status(thm)])). 5.65/1.91 thf(zip_derived_cl38, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 (~ ('#form31') 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))) 5.65/1.91 | (('#sk5') != ('#sk12')))), 5.65/1.91 inference('renaming', [status(thm)], [zip_derived_cl35, zip_derived_cl36])). 5.65/1.91 thf(zip_derived_cl39, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 ( ('#form38' @ X2) 5.65/1.91 | ~ (((!!) @ (^[Y0 : a]: 5.65/1.91 (((((??) @ (^[Y1 : a > $o]: (((cP @ Y1) & (Y1 @ Y0)))))) <=> 5.65/1.91 (X2 @ Y0)))))))), 5.65/1.91 define([status(thm)])). 5.65/1.91 thf(zip_derived_cl44, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 (~ ('#form38' @ (^[Y0 : a]: (X2 @ Y0))) 5.65/1.91 | (('#sk5') != ('#sk12')) 5.65/1.91 | ~ ('#form31'))), 5.65/1.91 inference('renaming', [status(thm)], [zip_derived_cl38, zip_derived_cl39])). 5.65/1.91 thf(zip_derived_cl53, plain, 5.65/1.91 (![X2 : a > $o]: 5.65/1.91 (~ ('#form38' @ X2) | (('#sk5') != ('#sk12')) | ~ ('#form31'))), 5.65/1.91 inference('ho_norm', [status(thm)], [zip_derived_cl44])). 5.65/1.91 thf(zip_derived_cl174, plain, ( ('#form31')), 5.65/1.91 inference('simplify', [status(thm)], [zip_derived_cl172])). 5.65/1.91 thf(zip_derived_cl184, plain, 5.65/1.91 (![X2 : a > $o]: (~ ('#form38' @ X2) | (('#sk5') != ('#sk12')))), 5.65/1.91 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl174])). 5.65/1.91 thf(zip_derived_cl366, plain, ((('#sk5') != ('#sk12'))), 5.65/1.91 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl184])). 5.65/1.91 thf(zip_derived_cl500, plain, ($false), 5.65/1.91 inference('simplify_reflect-', [status(thm)], 5.65/1.91 [zip_derived_cl499, zip_derived_cl366])). 5.65/1.91 5.65/1.91 % SZS output end Refutation 5.65/1.91 5.65/1.91 5.65/1.91 % Terminating... 5.97/2.06 % Runner terminated. 5.97/2.07 % Zipperpin 1.5 exiting 5.97/2.09 EOF