0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BkT1ZkpABo true 0.13/0.35 % Computer : n024.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Aug 9 03:40:38 EDT 2022 0.13/0.35 % CPUTime : 0.13/0.35 % Running portfolio for 960 s 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.35 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.76/0.63 % Total configuration time : 828 0.76/0.63 % Estimated wc time : 1656 0.76/0.63 % Estimated cpu time (8 cpus) : 207.0 0.91/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.91/0.67 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.91/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.91/0.70 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.91/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.91/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.91/0.71 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 1.37/0.72 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 235.97/30.51 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 314.92/40.53 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 328.49/42.28 % Solved by lams/35_full_unif.sh. 328.49/42.28 % done 106 iterations in 1.705s 328.49/42.28 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 328.49/42.28 % SZS output start Refutation 328.49/42.28 thf(b_type, type, b: $tType). 328.49/42.28 thf(a_type, type, a: $tType). 328.49/42.28 thf('#sk51_type', type, '#sk51': (a > b) > b). 328.49/42.28 thf('#sk26_type', type, '#sk26': (a > $o) > $o). 328.49/42.28 thf('#sk352_type', type, '#sk352': ((b > $o) > $o) > b > $o). 328.49/42.28 thf('#sk66_type', type, '#sk66': ((a > $o) > a) > a > $o). 328.49/42.28 thf('#form1_type', type, '#form1': $o). 328.49/42.28 thf('#sk19_type', type, '#sk19': (a > b) > a). 328.49/42.28 thf('#sk501_type', type, '#sk501': ((b > $o) > b) > (b > $o) > b). 328.49/42.28 thf('#sk179_type', type, '#sk179': (a > $o) > a). 328.49/42.28 thf('#sk14_type', type, '#sk14': a > b > $o). 328.49/42.28 thf(cTHM561, conjecture, 328.49/42.28 (( ( ![Xr:( ( a > $o ) > a > $o )]: 328.49/42.28 ( ?[Xg:( ( a > $o ) > a )]: 328.49/42.28 ( ![Xx:( a > $o )]: 328.49/42.28 ( ( ?[Xy:a]: ( Xr @ Xx @ Xy ) ) => ( Xr @ Xx @ ( Xg @ Xx ) ) ) ) ) ) => 328.49/42.28 ( ![Xs:( ( a > $o ) > $o )]: 328.49/42.28 ( ( ![X:( a > $o )]: ( ( Xs @ X ) => ( ?[Xt:a]: ( X @ Xt ) ) ) ) => 328.49/42.28 ( ?[Xf:( ( a > $o ) > a )]: 328.49/42.28 ( ![X:( a > $o )]: ( ( Xs @ X ) => ( X @ ( Xf @ X ) ) ) ) ) ) ) ) & 328.49/42.28 ( ( ![Xs:( ( b > $o ) > $o )]: 328.49/42.28 ( ( ![X:( b > $o )]: ( ( Xs @ X ) => ( ?[Xy:b]: ( X @ Xy ) ) ) ) => 328.49/42.28 ( ?[Xf:( ( b > $o ) > b )]: 328.49/42.28 ( ![X:( b > $o )]: ( ( Xs @ X ) => ( X @ ( Xf @ X ) ) ) ) ) ) ) => 328.49/42.28 ( ![Xr:( a > b > $o )]: 328.49/42.28 ( ?[Xg:( a > b )]: 328.49/42.28 ( ![Xx:a]: 328.49/42.28 ( ( ?[Xy:b]: ( Xr @ Xx @ Xy ) ) => ( Xr @ Xx @ ( Xg @ Xx ) ) ) ) ) ) ))). 328.49/42.28 thf(zf_stmt_0, negated_conjecture, 328.49/42.28 (~( ( ( ![Xr:( ( a > $o ) > a > $o )]: 328.49/42.28 ( ?[Xg:( ( a > $o ) > a )]: 328.49/42.28 ( ![Xx:( a > $o )]: 328.49/42.28 ( ( ?[Xy:a]: ( Xr @ Xx @ Xy ) ) => ( Xr @ Xx @ ( Xg @ Xx ) ) ) ) ) ) => 328.49/42.28 ( ![Xs:( ( a > $o ) > $o )]: 328.49/42.28 ( ( ![X:( a > $o )]: ( ( Xs @ X ) => ( ?[Xt:a]: ( X @ Xt ) ) ) ) => 328.49/42.28 ( ?[Xf:( ( a > $o ) > a )]: 328.49/42.28 ( ![X:( a > $o )]: ( ( Xs @ X ) => ( X @ ( Xf @ X ) ) ) ) ) ) ) ) & 328.49/42.28 ( ( ![Xs:( ( b > $o ) > $o )]: 328.49/42.28 ( ( ![X:( b > $o )]: ( ( Xs @ X ) => ( ?[Xy:b]: ( X @ Xy ) ) ) ) => 328.49/42.28 ( ?[Xf:( ( b > $o ) > b )]: 328.49/42.28 ( ![X:( b > $o )]: ( ( Xs @ X ) => ( X @ ( Xf @ X ) ) ) ) ) ) ) => 328.49/42.28 ( ![Xr:( a > b > $o )]: 328.49/42.28 ( ?[Xg:( a > b )]: 328.49/42.28 ( ![Xx:a]: 328.49/42.28 ( ( ?[Xy:b]: ( Xr @ Xx @ Xy ) ) => ( Xr @ Xx @ ( Xg @ Xx ) ) ) ) ) ) ) )), 328.49/42.28 inference('cnf.neg', [status(esa)], [cTHM561])). 328.49/42.28 thf(zip_derived_cl0, plain, 328.49/42.28 (~ (((((((!!) @ (^[Y0 : (a > $o) > a > $o]: 328.49/42.28 (((??) @ (^[Y1 : (a > $o) > a]: 328.49/42.28 (((!!) @ (^[Y2 : a > $o]: 328.49/42.28 (((((??) @ (^[Y3 : a]: 328.49/42.28 (Y0 @ Y2 @ Y3)))) => 328.49/42.28 (Y0 @ Y2 @ (Y1 @ Y2))))))))))))) => 328.49/42.28 (((!!) @ (^[Y0 : (a > $o) > $o]: 328.49/42.28 (((((!!) @ (^[Y1 : a > $o]: 328.49/42.28 (((Y0 @ Y1) => 328.49/42.28 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))) => 328.49/42.28 (((??) @ (^[Y1 : (a > $o) > a]: 328.49/42.28 (((!!) @ (^[Y2 : a > $o]: 328.49/42.28 (((Y0 @ Y2) => (Y2 @ 328.49/42.28 (Y1 @ Y2))))))))))))))))) & 328.49/42.28 (((((!!) @ (^[Y0 : (b > $o) > $o]: 328.49/42.28 (((((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((Y0 @ Y1) => 328.49/42.28 (((??) @ (^[Y2 : b]: (Y1 @ Y2))))))))) => 328.49/42.28 (((??) @ (^[Y1 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y2 : b > $o]: 328.49/42.28 (((Y0 @ Y2) => (Y2 @ 328.49/42.28 (Y1 @ Y2))))))))))))))) => 328.49/42.28 (((!!) @ (^[Y0 : a > b > $o]: 328.49/42.28 (((??) @ (^[Y1 : a > b]: 328.49/42.28 (((!!) @ (^[Y2 : a]: 328.49/42.28 (((((??) @ (^[Y3 : b]: 328.49/42.28 (Y0 @ Y2 @ Y3)))) => 328.49/42.28 (Y0 @ Y2 @ (Y1 @ Y2)))))))))))))))))), 328.49/42.28 inference('cnf', [status(esa)], [zf_stmt_0])). 328.49/42.28 thf(zip_derived_cl1, plain, 328.49/42.28 ((~ (((((!!) @ (^[Y0 : (a > $o) > a > $o]: 328.49/42.28 (((??) @ (^[Y1 : (a > $o) > a]: 328.49/42.28 (((!!) @ (^[Y2 : a > $o]: 328.49/42.28 (((((??) @ (^[Y3 : a]: 328.49/42.28 (Y0 @ Y2 @ Y3)))) => 328.49/42.28 (Y0 @ Y2 @ (Y1 @ Y2))))))))))))) => 328.49/42.28 (((!!) @ (^[Y0 : (a > $o) > $o]: 328.49/42.28 (((((!!) @ (^[Y1 : a > $o]: 328.49/42.28 (((Y0 @ Y1) => 328.49/42.28 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))) => 328.49/42.28 (((??) @ (^[Y1 : (a > $o) > a]: 328.49/42.28 (((!!) @ (^[Y2 : a > $o]: 328.49/42.28 (((Y0 @ Y2) => (Y2 @ 328.49/42.28 (Y1 @ Y2))))))))))))))))) 328.49/42.28 | ~ (((((!!) @ (^[Y0 : (b > $o) > $o]: 328.49/42.28 (((((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((Y0 @ Y1) => 328.49/42.28 (((??) @ (^[Y2 : b]: (Y1 @ Y2))))))))) => 328.49/42.28 (((??) @ (^[Y1 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y2 : b > $o]: 328.49/42.28 (((Y0 @ Y2) => (Y2 @ 328.49/42.28 (Y1 @ Y2))))))))))))))) => 328.49/42.28 (((!!) @ (^[Y0 : a > b > $o]: 328.49/42.28 (((??) @ (^[Y1 : a > b]: 328.49/42.28 (((!!) @ (^[Y2 : a]: 328.49/42.28 (((((??) @ (^[Y3 : b]: 328.49/42.28 (Y0 @ Y2 @ Y3)))) => 328.49/42.28 (Y0 @ Y2 @ (Y1 @ Y2))))))))))))))))), 328.49/42.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl0])). 328.49/42.28 thf(zip_derived_cl3, plain, 328.49/42.28 ((~ (((!!) @ (^[Y0 : (a > $o) > $o]: 328.49/42.28 (((((!!) @ (^[Y1 : a > $o]: 328.49/42.28 (((Y0 @ Y1) => 328.49/42.28 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))) => 328.49/42.28 (((??) @ (^[Y1 : (a > $o) > a]: 328.49/42.28 (((!!) @ (^[Y2 : a > $o]: 328.49/42.28 (((Y0 @ Y2) => (Y2 @ (Y1 @ Y2))))))))))))))) 328.49/42.28 | ~ (((((!!) @ (^[Y0 : (b > $o) > $o]: 328.49/42.28 (((((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((Y0 @ Y1) => 328.49/42.28 (((??) @ (^[Y2 : b]: (Y1 @ Y2))))))))) => 328.49/42.28 (((??) @ (^[Y1 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y2 : b > $o]: 328.49/42.28 (((Y0 @ Y2) => (Y2 @ 328.49/42.28 (Y1 @ Y2))))))))))))))) => 328.49/42.28 (((!!) @ (^[Y0 : a > b > $o]: 328.49/42.28 (((??) @ (^[Y1 : a > b]: 328.49/42.28 (((!!) @ (^[Y2 : a]: 328.49/42.28 (((((??) @ (^[Y3 : b]: 328.49/42.28 (Y0 @ Y2 @ Y3)))) => 328.49/42.28 (Y0 @ Y2 @ (Y1 @ Y2))))))))))))))))), 328.49/42.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 328.49/42.28 thf(zip_derived_cl4, plain, 328.49/42.28 (( ('#form1') 328.49/42.28 | ~ (((((!!) @ (^[Y0 : (b > $o) > $o]: 328.49/42.28 (((((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((Y0 @ Y1) => 328.49/42.28 (((??) @ (^[Y2 : b]: (Y1 @ Y2))))))))) => 328.49/42.28 (((??) @ (^[Y1 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y2 : b > $o]: 328.49/42.28 (((Y0 @ Y2) => (Y2 @ 328.49/42.28 (Y1 @ Y2))))))))))))))) => 328.49/42.28 (((!!) @ (^[Y0 : a > b > $o]: 328.49/42.28 (((??) @ (^[Y1 : a > b]: 328.49/42.28 (((!!) @ (^[Y2 : a]: 328.49/42.28 (((((??) @ (^[Y3 : b]: 328.49/42.28 (Y0 @ Y2 @ Y3)))) => 328.49/42.28 (Y0 @ Y2 @ (Y1 @ Y2))))))))))))))))), 328.49/42.28 define([status(thm)])). 328.49/42.28 thf(zip_derived_cl6, plain, 328.49/42.28 ((~ (((!!) @ (^[Y0 : a > b > $o]: 328.49/42.28 (((??) @ (^[Y1 : a > b]: 328.49/42.28 (((!!) @ (^[Y2 : a]: 328.49/42.28 (((((??) @ (^[Y3 : b]: 328.49/42.28 (Y0 @ Y2 @ Y3)))) => 328.49/42.28 (Y0 @ Y2 @ (Y1 @ Y2))))))))))))) 328.49/42.28 | ('#form1'))), 328.49/42.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 328.49/42.28 thf(zip_derived_cl24, plain, 328.49/42.28 ((~ (((??) @ (^[Y0 : a > b]: 328.49/42.28 (((!!) @ (^[Y1 : a]: 328.49/42.28 (((((??) @ (^[Y2 : b]: ('#sk14' @ Y1 @ Y2)))) => 328.49/42.28 ('#sk14' @ Y1 @ (Y0 @ Y1)))))))))) 328.49/42.28 | ('#form1'))), 328.49/42.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 328.49/42.28 thf(zip_derived_cl25, plain, 328.49/42.28 (![X2 : a > b]: 328.49/42.28 (~ (((!!) @ (^[Y0 : a]: 328.49/42.28 (((((??) @ (^[Y1 : b]: ('#sk14' @ Y0 @ Y1)))) => 328.49/42.28 ('#sk14' @ Y0 @ (X2 @ Y0))))))) 328.49/42.28 | ('#form1'))), 328.49/42.28 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])). 328.49/42.28 thf(zip_derived_cl26, plain, 328.49/42.28 (![X2 : a > b]: 328.49/42.28 (~ (((((??) @ (^[Y0 : b]: ('#sk14' @ ('#sk19' @ X2) @ Y0)))) => 328.49/42.28 ('#sk14' @ ('#sk19' @ X2) @ (X2 @ ('#sk19' @ X2))))) 328.49/42.28 | ('#form1'))), 328.49/42.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl25])). 328.49/42.28 thf(zip_derived_cl34, plain, 328.49/42.28 (![X2 : a > b]: 328.49/42.28 ( (((??) @ (^[Y0 : b]: ('#sk14' @ ('#sk19' @ X2) @ Y0)))) 328.49/42.28 | ('#form1'))), 328.49/42.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl26])). 328.49/42.28 thf(zip_derived_cl37, plain, 328.49/42.28 (![X2 : a > b]: 328.49/42.28 ( ('#sk14' @ ('#sk19' @ X2) @ ('#sk51' @ X2)) | ('#form1'))), 328.49/42.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl34])). 328.49/42.28 thf(zip_derived_cl3, plain, 328.49/42.28 ((~ (((!!) @ (^[Y0 : (a > $o) > $o]: 328.49/42.28 (((((!!) @ (^[Y1 : a > $o]: 328.49/42.28 (((Y0 @ Y1) => 328.49/42.28 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))) => 328.49/42.28 (((??) @ (^[Y1 : (a > $o) > a]: 328.49/42.28 (((!!) @ (^[Y2 : a > $o]: 328.49/42.28 (((Y0 @ Y2) => (Y2 @ (Y1 @ Y2))))))))))))))) 328.49/42.28 | ~ (((((!!) @ (^[Y0 : (b > $o) > $o]: 328.49/42.28 (((((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((Y0 @ Y1) => 328.49/42.28 (((??) @ (^[Y2 : b]: (Y1 @ Y2))))))))) => 328.49/42.28 (((??) @ (^[Y1 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y2 : b > $o]: 328.49/42.28 (((Y0 @ Y2) => (Y2 @ 328.49/42.28 (Y1 @ Y2))))))))))))))) => 328.49/42.28 (((!!) @ (^[Y0 : a > b > $o]: 328.49/42.28 (((??) @ (^[Y1 : a > b]: 328.49/42.28 (((!!) @ (^[Y2 : a]: 328.49/42.28 (((((??) @ (^[Y3 : b]: 328.49/42.28 (Y0 @ Y2 @ Y3)))) => 328.49/42.28 (Y0 @ Y2 @ (Y1 @ Y2))))))))))))))))), 328.49/42.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 328.49/42.28 thf(zip_derived_cl4, plain, 328.49/42.28 (( ('#form1') 328.49/42.28 | ~ (((((!!) @ (^[Y0 : (b > $o) > $o]: 328.49/42.28 (((((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((Y0 @ Y1) => 328.49/42.28 (((??) @ (^[Y2 : b]: (Y1 @ Y2))))))))) => 328.49/42.28 (((??) @ (^[Y1 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y2 : b > $o]: 328.49/42.28 (((Y0 @ Y2) => (Y2 @ 328.49/42.28 (Y1 @ Y2))))))))))))))) => 328.49/42.28 (((!!) @ (^[Y0 : a > b > $o]: 328.49/42.28 (((??) @ (^[Y1 : a > b]: 328.49/42.28 (((!!) @ (^[Y2 : a]: 328.49/42.28 (((((??) @ (^[Y3 : b]: 328.49/42.28 (Y0 @ Y2 @ Y3)))) => 328.49/42.28 (Y0 @ Y2 @ (Y1 @ Y2))))))))))))))))), 328.49/42.28 define([status(thm)])). 328.49/42.28 thf(zip_derived_cl7, plain, 328.49/42.28 ((~ ('#form1') 328.49/42.28 | ~ (((!!) @ (^[Y0 : (a > $o) > $o]: 328.49/42.28 (((((!!) @ (^[Y1 : a > $o]: 328.49/42.28 (((Y0 @ Y1) => 328.49/42.28 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))) => 328.49/42.28 (((??) @ (^[Y1 : (a > $o) > a]: 328.49/42.28 (((!!) @ (^[Y2 : a > $o]: 328.49/42.28 (((Y0 @ Y2) => (Y2 @ 328.49/42.28 (Y1 @ Y2))))))))))))))))), 328.49/42.28 inference('renaming', [status(thm)], [zip_derived_cl3, zip_derived_cl4])). 328.49/42.28 thf(zip_derived_cl28, plain, 328.49/42.28 ((~ (((((!!) @ (^[Y0 : a > $o]: 328.49/42.28 ((('#sk26' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) => 328.49/42.28 (((??) @ (^[Y0 : (a > $o) > a]: 328.49/42.28 (((!!) @ (^[Y1 : a > $o]: 328.49/42.28 ((('#sk26' @ Y1) => (Y1 @ (Y0 @ Y1)))))))))))) 328.49/42.28 | ~ ('#form1'))), 328.49/42.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 328.49/42.28 thf(zip_derived_cl30, plain, 328.49/42.28 ((~ (((??) @ (^[Y0 : (a > $o) > a]: 328.49/42.28 (((!!) @ (^[Y1 : a > $o]: 328.49/42.28 ((('#sk26' @ Y1) => (Y1 @ (Y0 @ Y1)))))))))) 328.49/42.28 | ~ ('#form1'))), 328.49/42.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl28])). 328.49/42.28 thf(zip_derived_cl31, plain, 328.49/42.28 (![X2 : (a > $o) > a]: 328.49/42.28 (~ (((!!) @ (^[Y0 : a > $o]: ((('#sk26' @ Y0) => (Y0 @ (X2 @ Y0))))))) 328.49/42.28 | ~ ('#form1'))), 328.49/42.28 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl30])). 328.49/42.28 thf(zip_derived_cl50, plain, 328.49/42.28 (![X2 : (a > $o) > a]: 328.49/42.28 (~ ((('#sk26' @ ('#sk66' @ X2)) => ('#sk66' @ X2 @ 328.49/42.28 (X2 @ ('#sk66' @ X2))))) 328.49/42.28 | ~ ('#form1'))), 328.49/42.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl31])). 328.49/42.28 thf(zip_derived_cl51, plain, 328.49/42.28 (![X2 : (a > $o) > a]: ( ('#sk26' @ ('#sk66' @ X2)) | ~ ('#form1'))), 328.49/42.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])). 328.49/42.28 thf(zip_derived_cl29, plain, 328.49/42.28 (( (((!!) @ (^[Y0 : a > $o]: 328.49/42.28 ((('#sk26' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) 328.49/42.28 | ~ ('#form1'))), 328.49/42.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl28])). 328.49/42.28 thf(zip_derived_cl41, plain, 328.49/42.28 (![X2 : a > $o]: 328.49/42.28 ( ((('#sk26' @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0)))))) 328.49/42.28 | ~ ('#form1'))), 328.49/42.28 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])). 328.49/42.28 thf(zip_derived_cl68, plain, 328.49/42.28 (![X2 : a > $o]: 328.49/42.28 (~ ('#sk26' @ X2) | (((??) @ (^[Y0 : a]: (X2 @ Y0)))) | ~ ('#form1'))), 328.49/42.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])). 328.49/42.28 thf(zip_derived_cl79, plain, 328.49/42.28 (![X2 : a > $o]: 328.49/42.28 ( (X2 @ ('#sk179' @ X2)) | ~ ('#form1') | ~ ('#sk26' @ X2))), 328.49/42.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl68])). 328.49/42.28 thf(zip_derived_cl90, plain, 328.49/42.28 (![X0 : (a > $o) > a]: 328.49/42.28 (~ ('#form1') 328.49/42.28 | ~ ('#form1') 328.49/42.28 | ('#sk66' @ X0 @ ('#sk179' @ ('#sk66' @ X0))))), 328.49/42.28 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl79])). 328.49/42.28 thf(zip_derived_cl92, plain, 328.49/42.28 (![X0 : (a > $o) > a]: 328.49/42.28 ( ('#sk66' @ X0 @ ('#sk179' @ ('#sk66' @ X0))) | ~ ('#form1'))), 328.49/42.28 inference('simplify', [status(thm)], [zip_derived_cl90])). 328.49/42.28 thf(zip_derived_cl52, plain, 328.49/42.28 (![X2 : (a > $o) > a]: 328.49/42.28 (~ ('#sk66' @ X2 @ (X2 @ ('#sk66' @ X2))) | ~ ('#form1'))), 328.49/42.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])). 328.49/42.28 thf(zip_derived_cl94, plain, ((~ ('#form1') | ~ ('#form1'))), 328.49/42.28 inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl52])). 328.49/42.28 thf(zip_derived_cl98, plain, (~ ('#form1')), 328.49/42.28 inference('simplify', [status(thm)], [zip_derived_cl94])). 328.49/42.28 thf(zip_derived_cl114, plain, 328.49/42.28 (![X2 : a > b]: ('#sk14' @ ('#sk19' @ X2) @ ('#sk51' @ X2))), 328.49/42.28 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl98])). 328.49/42.28 thf(zip_derived_cl5, plain, 328.49/42.28 (( (((!!) @ (^[Y0 : (b > $o) > $o]: 328.49/42.28 (((((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((Y0 @ Y1) => 328.49/42.28 (((??) @ (^[Y2 : b]: (Y1 @ Y2))))))))) => 328.49/42.28 (((??) @ (^[Y1 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y2 : b > $o]: 328.49/42.28 (((Y0 @ Y2) => (Y2 @ (Y1 @ Y2))))))))))))))) 328.49/42.28 | ('#form1'))), 328.49/42.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 328.49/42.28 thf(zip_derived_cl10, plain, 328.49/42.28 (![X2 : (b > $o) > $o]: 328.49/42.28 ( (((((!!) @ (^[Y0 : b > $o]: 328.49/42.28 (((X2 @ Y0) => (((??) @ (^[Y1 : b]: (Y0 @ Y1))))))))) => 328.49/42.28 (((??) @ (^[Y0 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((X2 @ Y1) => (Y1 @ (Y0 @ Y1)))))))))))) 328.49/42.28 | ('#form1'))), 328.49/42.28 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 328.49/42.28 thf(zip_derived_cl98, plain, (~ ('#form1')), 328.49/42.28 inference('simplify', [status(thm)], [zip_derived_cl94])). 328.49/42.28 thf(zip_derived_cl107, plain, 328.49/42.28 (![X2 : (b > $o) > $o]: 328.49/42.28 (((((!!) @ (^[Y0 : b > $o]: 328.49/42.28 (((X2 @ Y0) => (((??) @ (^[Y1 : b]: (Y0 @ Y1))))))))) => 328.49/42.28 (((??) @ (^[Y0 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((X2 @ Y1) => (Y1 @ (Y0 @ Y1))))))))))))), 328.49/42.28 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl98])). 328.49/42.28 thf(zip_derived_cl158, plain, 328.49/42.28 (![X2 : (b > $o) > $o]: 328.49/42.28 (~ (((!!) @ (^[Y0 : b > $o]: 328.49/42.28 (((X2 @ Y0) => (((??) @ (^[Y1 : b]: (Y0 @ Y1))))))))) 328.49/42.28 | (((??) @ (^[Y0 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((X2 @ Y1) => (Y1 @ (Y0 @ Y1)))))))))))), 328.49/42.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl107])). 328.49/42.28 thf(zip_derived_cl159, plain, 328.49/42.28 (![X2 : (b > $o) > $o]: 328.49/42.28 (~ (((X2 @ ('#sk352' @ X2)) => 328.49/42.28 (((??) @ (^[Y0 : b]: ('#sk352' @ X2 @ Y0)))))) 328.49/42.28 | (((??) @ (^[Y0 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((X2 @ Y1) => (Y1 @ (Y0 @ Y1)))))))))))), 328.49/42.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl158])). 328.49/42.28 thf(zip_derived_cl160, plain, 328.49/42.28 (![X2 : (b > $o) > $o]: 328.49/42.28 ( (X2 @ ('#sk352' @ X2)) 328.49/42.28 | (((??) @ (^[Y0 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((X2 @ Y1) => (Y1 @ (Y0 @ Y1)))))))))))), 328.49/42.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl159])). 328.49/42.28 thf(zip_derived_cl161, plain, 328.49/42.28 (![X2 : (b > $o) > $o]: 328.49/42.28 (~ (((??) @ (^[Y0 : b]: ('#sk352' @ X2 @ Y0)))) 328.49/42.28 | (((??) @ (^[Y0 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((X2 @ Y1) => (Y1 @ (Y0 @ Y1)))))))))))), 328.49/42.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl159])). 328.49/42.28 thf(zip_derived_cl168, plain, 328.49/42.28 (![X2 : (b > $o) > $o, X4 : b]: 328.49/42.28 (~ ('#sk352' @ X2 @ X4) 328.49/42.28 | (((??) @ (^[Y0 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((X2 @ Y1) => (Y1 @ (Y0 @ Y1)))))))))))), 328.49/42.28 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl161])). 328.49/42.28 thf(zip_derived_cl181, plain, 328.49/42.28 (![X0 : (b > $o) > b]: 328.49/42.28 ( (((??) @ (^[Y0 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y1 : b > $o]: 328.49/42.28 ((((^[Y2 : b > $o]: (Y2 @ (X0 @ Y2))) @ 328.49/42.28 Y1) => (Y1 @ (Y0 @ Y1)))))))))) 328.49/42.28 | (((??) @ (^[Y0 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y1 : b > $o]: 328.49/42.28 ((((^[Y2 : b > $o]: (Y2 @ (X0 @ Y2))) @ 328.49/42.28 Y1) => (Y1 @ (Y0 @ Y1)))))))))))), 328.49/42.28 inference('sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl168])). 328.49/42.28 thf(zip_derived_cl196, plain, 328.49/42.28 (![X0 : (b > $o) > b]: 328.49/42.28 ( (((??) @ (^[Y0 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((Y1 @ (X0 @ Y1)) => (Y1 @ (Y0 @ Y1)))))))))) 328.49/42.28 | (((??) @ (^[Y0 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((Y1 @ (X0 @ Y1)) => (Y1 @ (Y0 @ Y1)))))))))))), 328.49/42.28 inference('ho_norm', [status(thm)], [zip_derived_cl181])). 328.49/42.28 thf(zip_derived_cl197, plain, 328.49/42.28 (![X0 : (b > $o) > b]: 328.49/42.28 (((??) @ (^[Y0 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y1 : b > $o]: 328.49/42.28 (((Y1 @ (X0 @ Y1)) => (Y1 @ (Y0 @ Y1))))))))))), 328.49/42.28 inference('simplify', [status(thm)], [zip_derived_cl196])). 328.49/42.28 thf(zip_derived_cl206, plain, 328.49/42.28 (![X0 : (b > $o) > b]: 328.49/42.28 (((!!) @ (^[Y0 : b > $o]: 328.49/42.28 (((Y0 @ (X0 @ Y0)) => (Y0 @ ('#sk501' @ X0 @ Y0)))))))), 328.49/42.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl197])). 328.49/42.28 thf(zip_derived_cl209, plain, 328.49/42.28 (![X0 : (b > $o) > b, X2 : b > $o]: 328.49/42.28 (((X2 @ (X0 @ X2)) => (X2 @ ('#sk501' @ X0 @ X2))))), 328.49/42.28 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl206])). 328.49/42.28 thf(zip_derived_cl223, plain, 328.49/42.28 (![X2 : b > $o, X4 : b]: (~ (X2 @ X4) | (X2 @ ((($$choice) @ X2))))), 328.49/42.28 inference('inst_choice((X2))', [status(thm)], [zip_derived_cl209])). 328.49/42.28 thf(zip_derived_cl34, plain, 328.49/42.28 (![X2 : a > b]: 328.49/42.28 ( (((??) @ (^[Y0 : b]: ('#sk14' @ ('#sk19' @ X2) @ Y0)))) 328.49/42.28 | ('#form1'))), 328.49/42.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl26])). 328.49/42.28 thf(zip_derived_cl26, plain, 328.49/42.28 (![X2 : a > b]: 328.49/42.28 (~ (((((??) @ (^[Y0 : b]: ('#sk14' @ ('#sk19' @ X2) @ Y0)))) => 328.49/42.28 ('#sk14' @ ('#sk19' @ X2) @ (X2 @ ('#sk19' @ X2))))) 328.49/42.28 | ('#form1'))), 328.49/42.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl25])). 328.49/42.28 thf(zip_derived_cl36, plain, 328.49/42.28 (![X0 : a > b]: 328.49/42.28 (~ ((($true) => ('#sk14' @ ('#sk19' @ X0) @ (X0 @ ('#sk19' @ X0))))) 328.49/42.28 | ('#form1') 328.49/42.28 | ('#form1'))), 328.49/42.28 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl26])). 328.49/42.28 thf(zip_derived_cl38, plain, 328.49/42.28 (![X0 : a > b]: 328.49/42.28 ( ('#form1') 328.49/42.28 | ~ ((($true) => ('#sk14' @ ('#sk19' @ X0) @ (X0 @ ('#sk19' @ X0))))))), 328.49/42.28 inference('simplify', [status(thm)], [zip_derived_cl36])). 328.49/42.28 thf(zip_derived_cl39, plain, 328.49/42.28 (![X0 : a > b]: 328.49/42.28 ( ('#form1') | ~ ('#sk14' @ ('#sk19' @ X0) @ (X0 @ ('#sk19' @ X0))))), 328.49/42.28 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl38])). 328.49/42.28 thf(zip_derived_cl98, plain, (~ ('#form1')), 328.49/42.28 inference('simplify', [status(thm)], [zip_derived_cl94])). 328.49/42.28 thf(zip_derived_cl118, plain, 328.49/42.28 (![X0 : a > b]: ~ ('#sk14' @ ('#sk19' @ X0) @ (X0 @ ('#sk19' @ X0)))), 328.49/42.28 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl98])). 328.49/42.28 thf(zip_derived_cl314, plain, 328.49/42.28 (![X0 : b]: 328.49/42.28 ~ ((^[Y0 : b]: 328.49/42.28 ('#sk14' @ 328.49/42.28 ((^[Y1 : b]: 328.49/42.28 ('#sk19' @ 328.49/42.28 ((^[Y2 : b,Y3 : a]: 328.49/42.28 ((($$choice) @ ((^[Y4 : b,Y5 : a,Y6 : b]: 328.49/42.28 ('#sk14' @ 328.49/42.28 ((^[Y7 : b,Y8 : a,Y9 : b]: (Y8)) @ 328.49/42.28 Y4 @ Y5 @ Y6) @ 328.49/42.28 ((^[Y7 : b,Y8 : a,Y9 : b]: (Y9)) @ 328.49/42.28 Y4 @ Y5 @ Y6))) @ 328.49/42.28 Y2 @ Y3)))) @ 328.49/42.28 Y1))) @ 328.49/42.28 Y0) @ 328.49/42.28 ((^[Y1 : b]: (Y1)) @ Y0))) @ 328.49/42.28 X0)), 328.49/42.28 inference('sup-', [status(thm)], [zip_derived_cl223, zip_derived_cl118])). 328.49/42.28 thf(zip_derived_cl425, plain, 328.49/42.28 (![X0 : b]: 328.49/42.28 ~ ('#sk14' @ 328.49/42.28 ('#sk19' @ (^[Y0 : a]: ((($$choice) @ ('#sk14' @ Y0))))) @ X0)), 328.49/42.28 inference('ho_norm', [status(thm)], [zip_derived_cl314])). 328.49/42.28 thf(zip_derived_cl507, plain, ($false), 328.49/42.28 inference('sup-', [status(thm)], [zip_derived_cl114, zip_derived_cl425])). 328.49/42.28 328.49/42.28 % SZS output end Refutation 328.49/42.28 328.49/42.28 328.49/42.28 % Terminating... 328.49/42.31 % Runner terminated. 328.49/42.31 % Zipperpin 1.5 exiting 328.49/42.31 EOF