0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GbUFTORj4s true 0.13/0.33 % Computer : n019.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Tue Aug 9 03:41:21 EDT 2022 0.13/0.33 % CPUTime : 0.13/0.33 % Running portfolio for 960 s 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.33 % Number of cores: 8 0.13/0.33 % Python version: Python 3.6.8 0.13/0.33 % Running in HO mode 0.43/0.62 % Total configuration time : 828 0.43/0.62 % Estimated wc time : 1656 0.43/0.62 % Estimated cpu time (8 cpus) : 207.0 0.52/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.52/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.52/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.52/0.71 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.52/0.71 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.52/0.71 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.52/0.72 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.52/0.72 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 237.32/30.57 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 317.68/40.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s 347.84/44.60 % Solved by lams/35_full_unif.sh. 347.84/44.60 % done 106 iterations in 3.791s 347.84/44.60 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 347.84/44.60 % SZS output start Refutation 347.84/44.60 thf(b_type, type, b: $tType). 347.84/44.60 thf(a_type, type, a: $tType). 347.84/44.60 thf('#sk66_type', type, '#sk66': ((a > $o) > a) > a > $o). 347.84/44.60 thf('#sk26_type', type, '#sk26': (a > $o) > $o). 347.84/44.60 thf('#form1_type', type, '#form1': $o). 347.84/44.60 thf('#sk352_type', type, '#sk352': ((b > $o) > $o) > b > $o). 347.84/44.60 thf('#sk179_type', type, '#sk179': (a > $o) > a). 347.84/44.60 thf('#sk501_type', type, '#sk501': ((b > $o) > b) > (b > $o) > b). 347.84/44.60 thf('#sk51_type', type, '#sk51': (a > b) > b). 347.84/44.60 thf('#sk14_type', type, '#sk14': a > b > $o). 347.84/44.60 thf('#sk19_type', type, '#sk19': (a > b) > a). 347.84/44.60 thf(cTHM561, conjecture, 347.84/44.60 (( ( ![Xr:( ( a > $o ) > a > $o )]: 347.84/44.60 ( ?[Xg:( ( a > $o ) > a )]: 347.84/44.60 ( ![Xx:( a > $o )]: 347.84/44.60 ( ( ?[Xy:a]: ( Xr @ Xx @ Xy ) ) => ( Xr @ Xx @ ( Xg @ Xx ) ) ) ) ) ) => 347.84/44.60 ( ![Xs:( ( a > $o ) > $o )]: 347.84/44.60 ( ( ![X:( a > $o )]: ( ( Xs @ X ) => ( ?[Xt:a]: ( X @ Xt ) ) ) ) => 347.84/44.60 ( ?[Xf:( ( a > $o ) > a )]: 347.84/44.60 ( ![X:( a > $o )]: ( ( Xs @ X ) => ( X @ ( Xf @ X ) ) ) ) ) ) ) ) & 347.84/44.60 ( ( ![Xs:( ( b > $o ) > $o )]: 347.84/44.60 ( ( ![X:( b > $o )]: ( ( Xs @ X ) => ( ?[Xy:b]: ( X @ Xy ) ) ) ) => 347.84/44.60 ( ?[Xf:( ( b > $o ) > b )]: 347.84/44.60 ( ![X:( b > $o )]: ( ( Xs @ X ) => ( X @ ( Xf @ X ) ) ) ) ) ) ) => 347.84/44.60 ( ![Xr:( a > b > $o )]: 347.84/44.60 ( ?[Xg:( a > b )]: 347.84/44.60 ( ![Xx:a]: 347.84/44.60 ( ( ?[Xy:b]: ( Xr @ Xx @ Xy ) ) => ( Xr @ Xx @ ( Xg @ Xx ) ) ) ) ) ) ))). 347.84/44.60 thf(zf_stmt_0, negated_conjecture, 347.84/44.60 (~( ( ( ![Xr:( ( a > $o ) > a > $o )]: 347.84/44.60 ( ?[Xg:( ( a > $o ) > a )]: 347.84/44.60 ( ![Xx:( a > $o )]: 347.84/44.60 ( ( ?[Xy:a]: ( Xr @ Xx @ Xy ) ) => ( Xr @ Xx @ ( Xg @ Xx ) ) ) ) ) ) => 347.84/44.60 ( ![Xs:( ( a > $o ) > $o )]: 347.84/44.60 ( ( ![X:( a > $o )]: ( ( Xs @ X ) => ( ?[Xt:a]: ( X @ Xt ) ) ) ) => 347.84/44.60 ( ?[Xf:( ( a > $o ) > a )]: 347.84/44.60 ( ![X:( a > $o )]: ( ( Xs @ X ) => ( X @ ( Xf @ X ) ) ) ) ) ) ) ) & 347.84/44.60 ( ( ![Xs:( ( b > $o ) > $o )]: 347.84/44.60 ( ( ![X:( b > $o )]: ( ( Xs @ X ) => ( ?[Xy:b]: ( X @ Xy ) ) ) ) => 347.84/44.60 ( ?[Xf:( ( b > $o ) > b )]: 347.84/44.60 ( ![X:( b > $o )]: ( ( Xs @ X ) => ( X @ ( Xf @ X ) ) ) ) ) ) ) => 347.84/44.60 ( ![Xr:( a > b > $o )]: 347.84/44.60 ( ?[Xg:( a > b )]: 347.84/44.60 ( ![Xx:a]: 347.84/44.60 ( ( ?[Xy:b]: ( Xr @ Xx @ Xy ) ) => ( Xr @ Xx @ ( Xg @ Xx ) ) ) ) ) ) ) )), 347.84/44.60 inference('cnf.neg', [status(esa)], [cTHM561])). 347.84/44.60 thf(zip_derived_cl0, plain, 347.84/44.60 (~ (((((((!!) @ (^[Y0 : (a > $o) > a > $o]: 347.84/44.60 (((??) @ (^[Y1 : (a > $o) > a]: 347.84/44.60 (((!!) @ (^[Y2 : a > $o]: 347.84/44.60 (((((??) @ (^[Y3 : a]: 347.84/44.60 (Y0 @ Y2 @ Y3)))) => 347.84/44.60 (Y0 @ Y2 @ (Y1 @ Y2))))))))))))) => 347.84/44.60 (((!!) @ (^[Y0 : (a > $o) > $o]: 347.84/44.60 (((((!!) @ (^[Y1 : a > $o]: 347.84/44.60 (((Y0 @ Y1) => 347.84/44.60 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))) => 347.84/44.60 (((??) @ (^[Y1 : (a > $o) > a]: 347.84/44.60 (((!!) @ (^[Y2 : a > $o]: 347.84/44.60 (((Y0 @ Y2) => (Y2 @ 347.84/44.60 (Y1 @ Y2))))))))))))))))) & 347.84/44.60 (((((!!) @ (^[Y0 : (b > $o) > $o]: 347.84/44.60 (((((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((Y0 @ Y1) => 347.84/44.60 (((??) @ (^[Y2 : b]: (Y1 @ Y2))))))))) => 347.84/44.60 (((??) @ (^[Y1 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y2 : b > $o]: 347.84/44.60 (((Y0 @ Y2) => (Y2 @ 347.84/44.60 (Y1 @ Y2))))))))))))))) => 347.84/44.60 (((!!) @ (^[Y0 : a > b > $o]: 347.84/44.60 (((??) @ (^[Y1 : a > b]: 347.84/44.60 (((!!) @ (^[Y2 : a]: 347.84/44.60 (((((??) @ (^[Y3 : b]: 347.84/44.60 (Y0 @ Y2 @ Y3)))) => 347.84/44.60 (Y0 @ Y2 @ (Y1 @ Y2)))))))))))))))))), 347.84/44.60 inference('cnf', [status(esa)], [zf_stmt_0])). 347.84/44.60 thf(zip_derived_cl1, plain, 347.84/44.60 ((~ (((((!!) @ (^[Y0 : (a > $o) > a > $o]: 347.84/44.60 (((??) @ (^[Y1 : (a > $o) > a]: 347.84/44.60 (((!!) @ (^[Y2 : a > $o]: 347.84/44.60 (((((??) @ (^[Y3 : a]: 347.84/44.60 (Y0 @ Y2 @ Y3)))) => 347.84/44.60 (Y0 @ Y2 @ (Y1 @ Y2))))))))))))) => 347.84/44.60 (((!!) @ (^[Y0 : (a > $o) > $o]: 347.84/44.60 (((((!!) @ (^[Y1 : a > $o]: 347.84/44.60 (((Y0 @ Y1) => 347.84/44.60 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))) => 347.84/44.60 (((??) @ (^[Y1 : (a > $o) > a]: 347.84/44.60 (((!!) @ (^[Y2 : a > $o]: 347.84/44.60 (((Y0 @ Y2) => (Y2 @ 347.84/44.60 (Y1 @ Y2))))))))))))))))) 347.84/44.60 | ~ (((((!!) @ (^[Y0 : (b > $o) > $o]: 347.84/44.60 (((((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((Y0 @ Y1) => 347.84/44.60 (((??) @ (^[Y2 : b]: (Y1 @ Y2))))))))) => 347.84/44.60 (((??) @ (^[Y1 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y2 : b > $o]: 347.84/44.60 (((Y0 @ Y2) => (Y2 @ 347.84/44.60 (Y1 @ Y2))))))))))))))) => 347.84/44.60 (((!!) @ (^[Y0 : a > b > $o]: 347.84/44.60 (((??) @ (^[Y1 : a > b]: 347.84/44.60 (((!!) @ (^[Y2 : a]: 347.84/44.60 (((((??) @ (^[Y3 : b]: 347.84/44.60 (Y0 @ Y2 @ Y3)))) => 347.84/44.60 (Y0 @ Y2 @ (Y1 @ Y2))))))))))))))))), 347.84/44.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 347.84/44.60 thf(zip_derived_cl3, plain, 347.84/44.60 ((~ (((!!) @ (^[Y0 : (a > $o) > $o]: 347.84/44.60 (((((!!) @ (^[Y1 : a > $o]: 347.84/44.60 (((Y0 @ Y1) => 347.84/44.60 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))) => 347.84/44.60 (((??) @ (^[Y1 : (a > $o) > a]: 347.84/44.60 (((!!) @ (^[Y2 : a > $o]: 347.84/44.60 (((Y0 @ Y2) => (Y2 @ (Y1 @ Y2))))))))))))))) 347.84/44.60 | ~ (((((!!) @ (^[Y0 : (b > $o) > $o]: 347.84/44.60 (((((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((Y0 @ Y1) => 347.84/44.60 (((??) @ (^[Y2 : b]: (Y1 @ Y2))))))))) => 347.84/44.60 (((??) @ (^[Y1 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y2 : b > $o]: 347.84/44.60 (((Y0 @ Y2) => (Y2 @ 347.84/44.60 (Y1 @ Y2))))))))))))))) => 347.84/44.60 (((!!) @ (^[Y0 : a > b > $o]: 347.84/44.60 (((??) @ (^[Y1 : a > b]: 347.84/44.60 (((!!) @ (^[Y2 : a]: 347.84/44.60 (((((??) @ (^[Y3 : b]: 347.84/44.60 (Y0 @ Y2 @ Y3)))) => 347.84/44.60 (Y0 @ Y2 @ (Y1 @ Y2))))))))))))))))), 347.84/44.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 347.84/44.60 thf(zip_derived_cl4, plain, 347.84/44.60 (( ('#form1') 347.84/44.60 | ~ (((((!!) @ (^[Y0 : (b > $o) > $o]: 347.84/44.60 (((((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((Y0 @ Y1) => 347.84/44.60 (((??) @ (^[Y2 : b]: (Y1 @ Y2))))))))) => 347.84/44.60 (((??) @ (^[Y1 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y2 : b > $o]: 347.84/44.60 (((Y0 @ Y2) => (Y2 @ 347.84/44.60 (Y1 @ Y2))))))))))))))) => 347.84/44.60 (((!!) @ (^[Y0 : a > b > $o]: 347.84/44.60 (((??) @ (^[Y1 : a > b]: 347.84/44.60 (((!!) @ (^[Y2 : a]: 347.84/44.60 (((((??) @ (^[Y3 : b]: 347.84/44.60 (Y0 @ Y2 @ Y3)))) => 347.84/44.60 (Y0 @ Y2 @ (Y1 @ Y2))))))))))))))))), 347.84/44.60 define([status(thm)])). 347.84/44.60 thf(zip_derived_cl6, plain, 347.84/44.60 ((~ (((!!) @ (^[Y0 : a > b > $o]: 347.84/44.60 (((??) @ (^[Y1 : a > b]: 347.84/44.60 (((!!) @ (^[Y2 : a]: 347.84/44.60 (((((??) @ (^[Y3 : b]: 347.84/44.60 (Y0 @ Y2 @ Y3)))) => 347.84/44.60 (Y0 @ Y2 @ (Y1 @ Y2))))))))))))) 347.84/44.60 | ('#form1'))), 347.84/44.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 347.84/44.60 thf(zip_derived_cl24, plain, 347.84/44.60 ((~ (((??) @ (^[Y0 : a > b]: 347.84/44.60 (((!!) @ (^[Y1 : a]: 347.84/44.60 (((((??) @ (^[Y2 : b]: ('#sk14' @ Y1 @ Y2)))) => 347.84/44.60 ('#sk14' @ Y1 @ (Y0 @ Y1)))))))))) 347.84/44.60 | ('#form1'))), 347.84/44.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 347.84/44.60 thf(zip_derived_cl25, plain, 347.84/44.60 (![X2 : a > b]: 347.84/44.60 (~ (((!!) @ (^[Y0 : a]: 347.84/44.60 (((((??) @ (^[Y1 : b]: ('#sk14' @ Y0 @ Y1)))) => 347.84/44.60 ('#sk14' @ Y0 @ (X2 @ Y0))))))) 347.84/44.60 | ('#form1'))), 347.84/44.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])). 347.84/44.60 thf(zip_derived_cl26, plain, 347.84/44.60 (![X2 : a > b]: 347.84/44.60 (~ (((((??) @ (^[Y0 : b]: ('#sk14' @ ('#sk19' @ X2) @ Y0)))) => 347.84/44.60 ('#sk14' @ ('#sk19' @ X2) @ (X2 @ ('#sk19' @ X2))))) 347.84/44.60 | ('#form1'))), 347.84/44.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl25])). 347.84/44.60 thf(zip_derived_cl34, plain, 347.84/44.60 (![X2 : a > b]: 347.84/44.60 ( (((??) @ (^[Y0 : b]: ('#sk14' @ ('#sk19' @ X2) @ Y0)))) 347.84/44.60 | ('#form1'))), 347.84/44.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl26])). 347.84/44.60 thf(zip_derived_cl37, plain, 347.84/44.60 (![X2 : a > b]: 347.84/44.60 ( ('#sk14' @ ('#sk19' @ X2) @ ('#sk51' @ X2)) | ('#form1'))), 347.84/44.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl34])). 347.84/44.60 thf(zip_derived_cl3, plain, 347.84/44.60 ((~ (((!!) @ (^[Y0 : (a > $o) > $o]: 347.84/44.60 (((((!!) @ (^[Y1 : a > $o]: 347.84/44.60 (((Y0 @ Y1) => 347.84/44.60 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))) => 347.84/44.60 (((??) @ (^[Y1 : (a > $o) > a]: 347.84/44.60 (((!!) @ (^[Y2 : a > $o]: 347.84/44.60 (((Y0 @ Y2) => (Y2 @ (Y1 @ Y2))))))))))))))) 347.84/44.60 | ~ (((((!!) @ (^[Y0 : (b > $o) > $o]: 347.84/44.60 (((((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((Y0 @ Y1) => 347.84/44.60 (((??) @ (^[Y2 : b]: (Y1 @ Y2))))))))) => 347.84/44.60 (((??) @ (^[Y1 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y2 : b > $o]: 347.84/44.60 (((Y0 @ Y2) => (Y2 @ 347.84/44.60 (Y1 @ Y2))))))))))))))) => 347.84/44.60 (((!!) @ (^[Y0 : a > b > $o]: 347.84/44.60 (((??) @ (^[Y1 : a > b]: 347.84/44.60 (((!!) @ (^[Y2 : a]: 347.84/44.60 (((((??) @ (^[Y3 : b]: 347.84/44.60 (Y0 @ Y2 @ Y3)))) => 347.84/44.60 (Y0 @ Y2 @ (Y1 @ Y2))))))))))))))))), 347.84/44.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 347.84/44.60 thf(zip_derived_cl4, plain, 347.84/44.60 (( ('#form1') 347.84/44.60 | ~ (((((!!) @ (^[Y0 : (b > $o) > $o]: 347.84/44.60 (((((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((Y0 @ Y1) => 347.84/44.60 (((??) @ (^[Y2 : b]: (Y1 @ Y2))))))))) => 347.84/44.60 (((??) @ (^[Y1 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y2 : b > $o]: 347.84/44.60 (((Y0 @ Y2) => (Y2 @ 347.84/44.60 (Y1 @ Y2))))))))))))))) => 347.84/44.60 (((!!) @ (^[Y0 : a > b > $o]: 347.84/44.60 (((??) @ (^[Y1 : a > b]: 347.84/44.60 (((!!) @ (^[Y2 : a]: 347.84/44.60 (((((??) @ (^[Y3 : b]: 347.84/44.60 (Y0 @ Y2 @ Y3)))) => 347.84/44.60 (Y0 @ Y2 @ (Y1 @ Y2))))))))))))))))), 347.84/44.60 define([status(thm)])). 347.84/44.60 thf(zip_derived_cl7, plain, 347.84/44.60 ((~ ('#form1') 347.84/44.60 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 347.84/44.60 (((((!!) @ (^[Y1 : a > $o]: 347.84/44.60 (((Y0 @ Y1) => 347.84/44.60 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))) => 347.84/44.60 (((??) @ (^[Y1 : (a > $o) > a]: 347.84/44.60 (((!!) @ (^[Y2 : a > $o]: 347.84/44.60 (((Y0 @ Y2) => (Y2 @ 347.84/44.60 (Y1 @ Y2))))))))))))))))), 347.84/44.60 inference('renaming', [status(thm)], [zip_derived_cl3, zip_derived_cl4])). 347.84/44.60 thf(zip_derived_cl28, plain, 347.84/44.60 ((~ (((((!!) @ (^[Y0 : a > $o]: 347.84/44.60 ((('#sk26' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) => 347.84/44.60 (((??) @ (^[Y0 : (a > $o) > a]: 347.84/44.60 (((!!) @ (^[Y1 : a > $o]: 347.84/44.60 ((('#sk26' @ Y1) => (Y1 @ (Y0 @ Y1)))))))))))) 347.84/44.60 | ~ ('#form1'))), 347.84/44.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 347.84/44.60 thf(zip_derived_cl30, plain, 347.84/44.60 ((~ (((??) @ (^[Y0 : (a > $o) > a]: 347.84/44.60 (((!!) @ (^[Y1 : a > $o]: 347.84/44.60 ((('#sk26' @ Y1) => (Y1 @ (Y0 @ Y1)))))))))) 347.84/44.60 | ~ ('#form1'))), 347.84/44.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl28])). 347.84/44.60 thf(zip_derived_cl31, plain, 347.84/44.60 (![X2 : (a > $o) > a]: 347.84/44.60 (~ (((!!) @ (^[Y0 : a > $o]: ((('#sk26' @ Y0) => (Y0 @ (X2 @ Y0))))))) 347.84/44.60 | ~ ('#form1'))), 347.84/44.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl30])). 347.84/44.60 thf(zip_derived_cl50, plain, 347.84/44.60 (![X2 : (a > $o) > a]: 347.84/44.60 (~ ((('#sk26' @ ('#sk66' @ X2)) => ('#sk66' @ X2 @ 347.84/44.60 (X2 @ ('#sk66' @ X2))))) 347.84/44.60 | ~ ('#form1'))), 347.84/44.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl31])). 347.84/44.60 thf(zip_derived_cl51, plain, 347.84/44.60 (![X2 : (a > $o) > a]: ( ('#sk26' @ ('#sk66' @ X2)) | ~ ('#form1'))), 347.84/44.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])). 347.84/44.60 thf(zip_derived_cl29, plain, 347.84/44.60 (( (((!!) @ (^[Y0 : a > $o]: 347.84/44.60 ((('#sk26' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) 347.84/44.60 | ~ ('#form1'))), 347.84/44.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl28])). 347.84/44.60 thf(zip_derived_cl41, plain, 347.84/44.60 (![X2 : a > $o]: 347.84/44.60 ( ((('#sk26' @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0)))))) 347.84/44.60 | ~ ('#form1'))), 347.84/44.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])). 347.84/44.60 thf(zip_derived_cl68, plain, 347.84/44.60 (![X2 : a > $o]: 347.84/44.60 (~ ('#sk26' @ X2) | (((??) @ (^[Y0 : a]: (X2 @ Y0)))) | ~ ('#form1'))), 347.84/44.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])). 347.84/44.60 thf(zip_derived_cl79, plain, 347.84/44.60 (![X2 : a > $o]: 347.84/44.60 ( (X2 @ ('#sk179' @ X2)) | ~ ('#form1') | ~ ('#sk26' @ X2))), 347.84/44.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl68])). 347.84/44.60 thf(zip_derived_cl90, plain, 347.84/44.60 (![X0 : (a > $o) > a]: 347.84/44.60 (~ ('#form1') 347.84/44.60 | ~ ('#form1') 347.84/44.60 | ('#sk66' @ X0 @ ('#sk179' @ ('#sk66' @ X0))))), 347.84/44.60 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl79])). 347.84/44.60 thf(zip_derived_cl92, plain, 347.84/44.60 (![X0 : (a > $o) > a]: 347.84/44.60 ( ('#sk66' @ X0 @ ('#sk179' @ ('#sk66' @ X0))) | ~ ('#form1'))), 347.84/44.60 inference('simplify', [status(thm)], [zip_derived_cl90])). 347.84/44.60 thf(zip_derived_cl52, plain, 347.84/44.60 (![X2 : (a > $o) > a]: 347.84/44.60 (~ ('#sk66' @ X2 @ (X2 @ ('#sk66' @ X2))) | ~ ('#form1'))), 347.84/44.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])). 347.84/44.60 thf(zip_derived_cl94, plain, ((~ ('#form1') | ~ ('#form1'))), 347.84/44.60 inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl52])). 347.84/44.60 thf(zip_derived_cl98, plain, (~ ('#form1')), 347.84/44.60 inference('simplify', [status(thm)], [zip_derived_cl94])). 347.84/44.60 thf(zip_derived_cl114, plain, 347.84/44.60 (![X2 : a > b]: ('#sk14' @ ('#sk19' @ X2) @ ('#sk51' @ X2))), 347.84/44.60 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl98])). 347.84/44.60 thf(zip_derived_cl5, plain, 347.84/44.60 (( (((!!) @ (^[Y0 : (b > $o) > $o]: 347.84/44.60 (((((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((Y0 @ Y1) => 347.84/44.60 (((??) @ (^[Y2 : b]: (Y1 @ Y2))))))))) => 347.84/44.60 (((??) @ (^[Y1 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y2 : b > $o]: 347.84/44.60 (((Y0 @ Y2) => (Y2 @ (Y1 @ Y2))))))))))))))) 347.84/44.60 | ('#form1'))), 347.84/44.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 347.84/44.60 thf(zip_derived_cl10, plain, 347.84/44.60 (![X2 : (b > $o) > $o]: 347.84/44.60 ( (((((!!) @ (^[Y0 : b > $o]: 347.84/44.60 (((X2 @ Y0) => (((??) @ (^[Y1 : b]: (Y0 @ Y1))))))))) => 347.84/44.60 (((??) @ (^[Y0 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((X2 @ Y1) => (Y1 @ (Y0 @ Y1)))))))))))) 347.84/44.60 | ('#form1'))), 347.84/44.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 347.84/44.60 thf(zip_derived_cl98, plain, (~ ('#form1')), 347.84/44.60 inference('simplify', [status(thm)], [zip_derived_cl94])). 347.84/44.60 thf(zip_derived_cl107, plain, 347.84/44.60 (![X2 : (b > $o) > $o]: 347.84/44.60 (((((!!) @ (^[Y0 : b > $o]: 347.84/44.60 (((X2 @ Y0) => (((??) @ (^[Y1 : b]: (Y0 @ Y1))))))))) => 347.84/44.60 (((??) @ (^[Y0 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((X2 @ Y1) => (Y1 @ (Y0 @ Y1))))))))))))), 347.84/44.60 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl98])). 347.84/44.60 thf(zip_derived_cl158, plain, 347.84/44.60 (![X2 : (b > $o) > $o]: 347.84/44.60 (~ (((!!) @ (^[Y0 : b > $o]: 347.84/44.60 (((X2 @ Y0) => (((??) @ (^[Y1 : b]: (Y0 @ Y1))))))))) 347.84/44.60 | (((??) @ (^[Y0 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((X2 @ Y1) => (Y1 @ (Y0 @ Y1)))))))))))), 347.84/44.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl107])). 347.84/44.60 thf(zip_derived_cl159, plain, 347.84/44.60 (![X2 : (b > $o) > $o]: 347.84/44.60 (~ (((X2 @ ('#sk352' @ X2)) => 347.84/44.60 (((??) @ (^[Y0 : b]: ('#sk352' @ X2 @ Y0)))))) 347.84/44.60 | (((??) @ (^[Y0 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((X2 @ Y1) => (Y1 @ (Y0 @ Y1)))))))))))), 347.84/44.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl158])). 347.84/44.60 thf(zip_derived_cl160, plain, 347.84/44.60 (![X2 : (b > $o) > $o]: 347.84/44.60 ( (X2 @ ('#sk352' @ X2)) 347.84/44.60 | (((??) @ (^[Y0 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((X2 @ Y1) => (Y1 @ (Y0 @ Y1)))))))))))), 347.84/44.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl159])). 347.84/44.60 thf(zip_derived_cl161, plain, 347.84/44.60 (![X2 : (b > $o) > $o]: 347.84/44.60 (~ (((??) @ (^[Y0 : b]: ('#sk352' @ X2 @ Y0)))) 347.84/44.60 | (((??) @ (^[Y0 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((X2 @ Y1) => (Y1 @ (Y0 @ Y1)))))))))))), 347.84/44.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl159])). 347.84/44.60 thf(zip_derived_cl168, plain, 347.84/44.60 (![X2 : (b > $o) > $o, X4 : b]: 347.84/44.60 (~ ('#sk352' @ X2 @ X4) 347.84/44.60 | (((??) @ (^[Y0 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((X2 @ Y1) => (Y1 @ (Y0 @ Y1)))))))))))), 347.84/44.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl161])). 347.84/44.60 thf(zip_derived_cl181, plain, 347.84/44.60 (![X0 : (b > $o) > b]: 347.84/44.60 ( (((??) @ (^[Y0 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y1 : b > $o]: 347.84/44.60 ((((^[Y2 : b > $o]: (Y2 @ (X0 @ Y2))) @ 347.84/44.60 Y1) => (Y1 @ (Y0 @ Y1)))))))))) 347.84/44.60 | (((??) @ (^[Y0 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y1 : b > $o]: 347.84/44.60 ((((^[Y2 : b > $o]: (Y2 @ (X0 @ Y2))) @ 347.84/44.60 Y1) => (Y1 @ (Y0 @ Y1)))))))))))), 347.84/44.60 inference('sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl168])). 347.84/44.60 thf(zip_derived_cl196, plain, 347.84/44.60 (![X0 : (b > $o) > b]: 347.84/44.60 ( (((??) @ (^[Y0 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((Y1 @ (X0 @ Y1)) => (Y1 @ (Y0 @ Y1)))))))))) 347.84/44.60 | (((??) @ (^[Y0 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((Y1 @ (X0 @ Y1)) => (Y1 @ (Y0 @ Y1)))))))))))), 347.84/44.60 inference('ho_norm', [status(thm)], [zip_derived_cl181])). 347.84/44.60 thf(zip_derived_cl197, plain, 347.84/44.60 (![X0 : (b > $o) > b]: 347.84/44.60 (((??) @ (^[Y0 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y1 : b > $o]: 347.84/44.60 (((Y1 @ (X0 @ Y1)) => (Y1 @ (Y0 @ Y1))))))))))), 347.84/44.60 inference('simplify', [status(thm)], [zip_derived_cl196])). 347.84/44.60 thf(zip_derived_cl206, plain, 347.84/44.60 (![X0 : (b > $o) > b]: 347.84/44.60 (((!!) @ (^[Y0 : b > $o]: 347.84/44.60 (((Y0 @ (X0 @ Y0)) => (Y0 @ ('#sk501' @ X0 @ Y0)))))))), 347.84/44.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl197])). 347.84/44.60 thf(zip_derived_cl209, plain, 347.84/44.60 (![X0 : (b > $o) > b, X2 : b > $o]: 347.84/44.60 (((X2 @ (X0 @ X2)) => (X2 @ ('#sk501' @ X0 @ X2))))), 347.84/44.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl206])). 347.84/44.60 thf(zip_derived_cl223, plain, 347.84/44.60 (![X2 : b > $o, X4 : b]: (~ (X2 @ X4) | (X2 @ ((($$choice) @ X2))))), 347.84/44.60 inference('inst_choice((X2))', [status(thm)], [zip_derived_cl209])). 347.84/44.60 thf(zip_derived_cl34, plain, 347.84/44.60 (![X2 : a > b]: 347.84/44.60 ( (((??) @ (^[Y0 : b]: ('#sk14' @ ('#sk19' @ X2) @ Y0)))) 347.84/44.60 | ('#form1'))), 347.84/44.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl26])). 347.84/44.60 thf(zip_derived_cl26, plain, 347.84/44.60 (![X2 : a > b]: 347.84/44.60 (~ (((((??) @ (^[Y0 : b]: ('#sk14' @ ('#sk19' @ X2) @ Y0)))) => 347.84/44.60 ('#sk14' @ ('#sk19' @ X2) @ (X2 @ ('#sk19' @ X2))))) 347.84/44.60 | ('#form1'))), 347.84/44.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl25])). 347.84/44.60 thf(zip_derived_cl36, plain, 347.84/44.60 (![X0 : a > b]: 347.84/44.60 (~ ((($true) => ('#sk14' @ ('#sk19' @ X0) @ (X0 @ ('#sk19' @ X0))))) 347.84/44.60 | ('#form1') 347.84/44.60 | ('#form1'))), 347.84/44.60 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl26])). 347.84/44.60 thf(zip_derived_cl38, plain, 347.84/44.60 (![X0 : a > b]: 347.84/44.60 ( ('#form1') 347.84/44.60 | ~ ((($true) => ('#sk14' @ ('#sk19' @ X0) @ (X0 @ ('#sk19' @ X0))))))), 347.84/44.60 inference('simplify', [status(thm)], [zip_derived_cl36])). 347.84/44.60 thf(zip_derived_cl39, plain, 347.84/44.60 (![X0 : a > b]: 347.84/44.60 ( ('#form1') | ~ ('#sk14' @ ('#sk19' @ X0) @ (X0 @ ('#sk19' @ X0))))), 347.84/44.60 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl38])). 347.84/44.60 thf(zip_derived_cl98, plain, (~ ('#form1')), 347.84/44.60 inference('simplify', [status(thm)], [zip_derived_cl94])). 347.84/44.60 thf(zip_derived_cl118, plain, 347.84/44.60 (![X0 : a > b]: ~ ('#sk14' @ ('#sk19' @ X0) @ (X0 @ ('#sk19' @ X0)))), 347.84/44.60 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl98])). 347.84/44.60 thf(zip_derived_cl307, plain, 347.84/44.60 (![X0 : b]: 347.84/44.60 ~ ((^[Y0 : b]: 347.84/44.60 ('#sk14' @ 347.84/44.60 ((^[Y1 : b]: 347.84/44.60 ('#sk19' @ 347.84/44.60 ((^[Y2 : b,Y3 : a]: 347.84/44.60 ((($$choice) @ ((^[Y4 : b,Y5 : a,Y6 : b]: 347.84/44.60 ('#sk14' @ 347.84/44.60 ((^[Y7 : b,Y8 : a,Y9 : b]: (Y8)) @ 347.84/44.60 Y4 @ Y5 @ Y6) @ 347.84/44.60 ((^[Y7 : b,Y8 : a,Y9 : b]: (Y9)) @ 347.84/44.60 Y4 @ Y5 @ Y6))) @ 347.84/44.60 Y2 @ Y3)))) @ 347.84/44.60 Y1))) @ 347.84/44.60 Y0) @ 347.84/44.60 ((^[Y1 : b]: (Y1)) @ Y0))) @ 347.84/44.60 X0)), 347.84/44.60 inference('sup-', [status(thm)], [zip_derived_cl223, zip_derived_cl118])). 347.84/44.60 thf(zip_derived_cl413, plain, 347.84/44.60 (![X0 : b]: 347.84/44.60 ~ ('#sk14' @ 347.84/44.60 ('#sk19' @ (^[Y0 : a]: ((($$choice) @ ('#sk14' @ Y0))))) @ X0)), 347.84/44.60 inference('ho_norm', [status(thm)], [zip_derived_cl307])). 347.84/44.60 thf(zip_derived_cl495, plain, ($false), 347.84/44.60 inference('sup-', [status(thm)], [zip_derived_cl114, zip_derived_cl413])). 347.84/44.60 347.84/44.60 % SZS output end Refutation 347.84/44.60 347.84/44.60 347.84/44.60 % Terminating... 348.70/44.73 % Runner terminated. 348.70/44.75 % Zipperpin 1.5 exiting 348.70/44.75 EOF