0.09/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.N6kmruHmCN true 0.10/0.32 % Computer : n019.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 960 0.10/0.32 % WCLimit : 120 0.10/0.32 % DateTime : Tue Aug 9 03:12:06 EDT 2022 0.10/0.32 % CPUTime : 0.10/0.32 % Running portfolio for 960 s 0.10/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.10/0.32 % Number of cores: 8 0.10/0.32 % Python version: Python 3.6.8 0.10/0.32 % Running in HO mode 0.17/0.60 % Total configuration time : 828 0.17/0.60 % Estimated wc time : 1656 0.17/0.60 % Estimated cpu time (8 cpus) : 207.0 0.97/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.97/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.97/0.68 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.97/0.68 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.97/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.97/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.97/0.70 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.97/0.70 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 51.43/7.10 % Solved by lams/20_acsne_simpl.sh. 51.43/7.10 % running E: timeout 13 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.N6kmruHmCN/e_input85a1a2 --cpu-limit=11 --auto -s -p 51.43/7.10 % done 285 iterations in 6.325s 51.43/7.10 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 51.43/7.10 % SZS output start Refutation 51.43/7.10 thf('#sk1_type', type, '#sk1': ($i > $o) > $i > $o). 51.43/7.10 thf('#l_lift14662_type', type, '#l_lift14662': $i > $o). 51.43/7.10 thf('#sk405_type', type, '#sk405': ($i > $o) > $i). 51.43/7.10 thf('#sk13_type', type, '#sk13': ($i > $o) > ($i > $o) > $i). 51.43/7.10 thf('#sk2_type', type, '#sk2': $i). 51.43/7.10 thf(cTHM2A_ONE_pme, conjecture, 51.43/7.10 (![K:( ( $i > $o ) > $i > $o )]: 51.43/7.10 ( ( ![Xx:( $i > $o ),Xy:( $i > $o )]: 51.43/7.10 ( ( ![Xx0:$i]: ( ( Xx @ Xx0 ) => ( Xy @ Xx0 ) ) ) => 51.43/7.10 ( ![Xx0:$i]: ( ( K @ Xx @ Xx0 ) => ( K @ Xy @ Xx0 ) ) ) ) ) => 51.43/7.10 ( ![Xx:$i]: 51.43/7.10 ( ( K @ 51.43/7.10 ( ^[Xx0:$i]: 51.43/7.10 ( ?[S:( $i > $o )]: 51.43/7.10 ( ( S @ Xx0 ) & 51.43/7.10 ( ![Xx1:$i]: ( ( S @ Xx1 ) => ( K @ S @ Xx1 ) ) ) ) ) ) @ 51.43/7.10 Xx ) => 51.43/7.10 ( ?[S:( $i > $o )]: 51.43/7.10 ( ( ![Xx0:$i]: ( ( S @ Xx0 ) => ( K @ S @ Xx0 ) ) ) & ( S @ Xx ) ) ) ) ) ))). 51.43/7.10 thf(zf_stmt_0, negated_conjecture, 51.43/7.10 (~( ![K:( ( $i > $o ) > $i > $o )]: 51.43/7.10 ( ( ![Xx:( $i > $o ),Xy:( $i > $o )]: 51.43/7.10 ( ( ![Xx0:$i]: ( ( Xx @ Xx0 ) => ( Xy @ Xx0 ) ) ) => 51.43/7.10 ( ![Xx0:$i]: ( ( K @ Xx @ Xx0 ) => ( K @ Xy @ Xx0 ) ) ) ) ) => 51.43/7.10 ( ![Xx:$i]: 51.43/7.10 ( ( K @ 51.43/7.10 ( ^[Xx0:$i]: 51.43/7.10 ( ?[S:( $i > $o )]: 51.43/7.10 ( ( S @ Xx0 ) & 51.43/7.10 ( ![Xx1:$i]: ( ( S @ Xx1 ) => ( K @ S @ Xx1 ) ) ) ) ) ) @ 51.43/7.10 Xx ) => 51.43/7.10 ( ?[S:( $i > $o )]: 51.43/7.10 ( ( ![Xx0:$i]: ( ( S @ Xx0 ) => ( K @ S @ Xx0 ) ) ) & 51.43/7.10 ( S @ Xx ) ) ) ) ) ) )), 51.43/7.10 inference('cnf.neg', [status(esa)], [cTHM2A_ONE_pme])). 51.43/7.10 thf(zip_derived_cl0, plain, 51.43/7.10 (~ (((!!) @ (^[Y0 : ($i > $o) > $i > $o]: 51.43/7.10 (((((!!) @ (^[Y1 : $i > $o]: 51.43/7.10 (((!!) @ (^[Y2 : $i > $o]: 51.43/7.10 (((((!!) @ (^[Y3 : $i]: 51.43/7.10 (((Y1 @ Y3) => 51.43/7.10 (Y2 @ Y3)))))) => 51.43/7.10 (((!!) @ (^[Y3 : $i]: 51.43/7.10 (((Y0 @ Y1 @ 51.43/7.10 Y3) => (Y0 @ 51.43/7.10 Y2 @ Y3)))))))))))))) => 51.43/7.10 (((!!) @ (^[Y1 : $i]: 51.43/7.10 (((Y0 @ 51.43/7.10 (^[Y2 : $i]: 51.43/7.10 (((??) @ (^[Y3 : $i > $o]: 51.43/7.10 (((Y3 @ Y2) & 51.43/7.10 (((!!) @ (^[Y4 : $i]: 51.43/7.10 (((Y3 @ 51.43/7.10 Y4) => 51.43/7.10 (Y0 @ Y3 @ 51.43/7.10 Y4)))))))))))) @ 51.43/7.10 Y1) => 51.43/7.10 (((??) @ (^[Y2 : $i > $o]: 51.43/7.10 (((((!!) @ (^[Y3 : $i]: 51.43/7.10 (((Y2 @ Y3) => 51.43/7.10 (Y0 @ Y2 @ Y3)))))) & 51.43/7.10 (Y2 @ Y1))))))))))))))))), 51.43/7.10 inference('cnf', [status(esa)], [zf_stmt_0])). 51.43/7.10 thf(zip_derived_cl1, plain, 51.43/7.10 (~ (((((!!) @ (^[Y0 : $i > $o]: 51.43/7.10 (((!!) @ (^[Y1 : $i > $o]: 51.43/7.10 (((((!!) @ (^[Y2 : $i]: 51.43/7.10 (((Y0 @ Y2) => (Y1 @ Y2)))))) => 51.43/7.10 (((!!) @ (^[Y2 : $i]: 51.43/7.10 ((('#sk1' @ Y0 @ Y2) => 51.43/7.10 ('#sk1' @ Y1 @ Y2)))))))))))))) => 51.43/7.10 (((!!) @ (^[Y0 : $i]: 51.43/7.10 ((('#sk1' @ 51.43/7.10 (^[Y1 : $i]: 51.43/7.10 (((??) @ (^[Y2 : $i > $o]: 51.43/7.10 (((Y2 @ Y1) & 51.43/7.10 (((!!) @ (^[Y3 : $i]: 51.43/7.10 (((Y2 @ Y3) => ('#sk1' @ 51.43/7.10 Y2 @ Y3)))))))))))) @ 51.43/7.10 Y0) => 51.43/7.10 (((??) @ (^[Y1 : $i > $o]: 51.43/7.10 (((((!!) @ (^[Y2 : $i]: 51.43/7.10 (((Y1 @ Y2) => ('#sk1' @ 51.43/7.10 Y1 @ Y2)))))) & 51.43/7.10 (Y1 @ Y0)))))))))))))), 51.43/7.10 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 51.43/7.10 thf(zip_derived_cl2, plain, 51.43/7.10 ( (((!!) @ (^[Y0 : $i > $o]: 51.43/7.10 (((!!) @ (^[Y1 : $i > $o]: 51.43/7.10 (((((!!) @ (^[Y2 : $i]: 51.43/7.10 (((Y0 @ Y2) => (Y1 @ Y2)))))) => 51.43/7.10 (((!!) @ (^[Y2 : $i]: 51.43/7.10 ((('#sk1' @ Y0 @ Y2) => 51.43/7.10 ('#sk1' @ Y1 @ Y2))))))))))))))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 51.43/7.10 thf(zip_derived_cl4, plain, 51.43/7.10 (![X2 : $i > $o]: 51.43/7.10 (((!!) @ (^[Y0 : $i > $o]: 51.43/7.10 (((((!!) @ (^[Y1 : $i]: (((X2 @ Y1) => (Y0 @ Y1)))))) => 51.43/7.10 (((!!) @ (^[Y1 : $i]: 51.43/7.10 ((('#sk1' @ X2 @ Y1) => ('#sk1' @ Y0 @ Y1)))))))))))), 51.43/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 51.43/7.10 thf(zip_derived_cl6, plain, 51.43/7.10 (![X2 : $i > $o, X4 : $i > $o]: 51.43/7.10 (((((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => (X4 @ Y0)))))) => 51.43/7.10 (((!!) @ (^[Y0 : $i]: ((('#sk1' @ X2 @ Y0) => ('#sk1' @ X4 @ Y0))))))))), 51.43/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 51.43/7.10 thf(zip_derived_cl9, plain, 51.43/7.10 (![X2 : $i > $o, X4 : $i > $o]: 51.43/7.10 (~ (((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => (X4 @ Y0)))))) 51.43/7.10 | (((!!) @ (^[Y0 : $i]: ((('#sk1' @ X2 @ Y0) => ('#sk1' @ X4 @ Y0)))))))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])). 51.43/7.10 thf(zip_derived_cl11, plain, 51.43/7.10 (![X2 : $i > $o, X4 : $i > $o]: 51.43/7.10 (~ (((X2 @ ('#sk13' @ X2 @ X4)) => (X4 @ ('#sk13' @ X2 @ X4)))) 51.43/7.10 | (((!!) @ (^[Y0 : $i]: ((('#sk1' @ X2 @ Y0) => ('#sk1' @ X4 @ Y0)))))))), 51.43/7.10 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])). 51.43/7.10 thf(zip_derived_cl14, plain, 51.43/7.10 (![X2 : $i > $o, X4 : $i > $o]: 51.43/7.10 (~ (X4 @ ('#sk13' @ X2 @ X4)) 51.43/7.10 | (((!!) @ (^[Y0 : $i]: ((('#sk1' @ X2 @ Y0) => ('#sk1' @ X4 @ Y0)))))))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 51.43/7.10 thf(zip_derived_cl17, plain, 51.43/7.10 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 51.43/7.10 ( ((('#sk1' @ X2 @ X6) => ('#sk1' @ X4 @ X6))) 51.43/7.10 | ~ (X4 @ ('#sk13' @ X2 @ X4)))), 51.43/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 51.43/7.10 thf(zip_derived_cl21, plain, 51.43/7.10 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 51.43/7.10 (~ ('#sk1' @ X2 @ X6) 51.43/7.10 | ('#sk1' @ X4 @ X6) 51.43/7.10 | ~ (X4 @ ('#sk13' @ X2 @ X4)))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl17])). 51.43/7.10 thf(zip_derived_cl6, plain, 51.43/7.10 (![X2 : $i > $o, X4 : $i > $o]: 51.43/7.10 (((((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => (X4 @ Y0)))))) => 51.43/7.10 (((!!) @ (^[Y0 : $i]: ((('#sk1' @ X2 @ Y0) => ('#sk1' @ X4 @ Y0))))))))), 51.43/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 51.43/7.10 thf(zip_derived_cl23, plain, 51.43/7.10 (![X0 : $i > $o]: 51.43/7.10 (((((!!) @ (^[Y0 : $i]: 51.43/7.10 (((X0 @ Y0) => 51.43/7.10 (((??) @ (^[Y1 : $i > $o]: 51.43/7.10 (((Y1 @ Y0) & 51.43/7.10 (((!!) @ (^[Y2 : $i]: 51.43/7.10 (((Y1 @ Y2) => ('#sk1' @ 51.43/7.10 Y1 @ Y2)))))))))))))))) => 51.43/7.10 (((!!) @ (^[Y0 : $i]: 51.43/7.10 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 51.43/7.10 (^[Y1 : $i]: 51.43/7.10 (((??) @ (^[Y2 : $i > $o]: 51.43/7.10 (((Y2 @ Y1) & 51.43/7.10 (((!!) @ (^[Y3 : $i]: 51.43/7.10 (((Y2 @ Y3) => 51.43/7.10 ('#sk1' @ Y2 @ Y3)))))))))))) @ 51.43/7.10 Y0))))))))), 51.43/7.10 inference('triggered_bool_instantiation', [status(thm)], 51.43/7.10 [zip_derived_cl6])). 51.43/7.10 thf(zip_derived_cl141, plain, 51.43/7.10 (![X0 : $i > $o]: 51.43/7.10 (~ (((!!) @ (^[Y0 : $i]: 51.43/7.10 (((X0 @ Y0) => 51.43/7.10 (((??) @ (^[Y1 : $i > $o]: 51.43/7.10 (((Y1 @ Y0) & 51.43/7.10 (((!!) @ (^[Y2 : $i]: 51.43/7.10 (((Y1 @ Y2) => ('#sk1' @ 51.43/7.10 Y1 @ Y2)))))))))))))))) 51.43/7.10 | (((!!) @ (^[Y0 : $i]: 51.43/7.10 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 51.43/7.10 (^[Y1 : $i]: 51.43/7.10 (((??) @ (^[Y2 : $i > $o]: 51.43/7.10 (((Y2 @ Y1) & 51.43/7.10 (((!!) @ (^[Y3 : $i]: 51.43/7.10 (((Y2 @ Y3) => 51.43/7.10 ('#sk1' @ Y2 @ Y3)))))))))))) @ 51.43/7.10 Y0)))))))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 51.43/7.10 thf(zip_derived_cl142, plain, 51.43/7.10 (![X0 : $i > $o]: 51.43/7.10 (~ (((X0 @ ('#sk405' @ X0)) => 51.43/7.10 (((??) @ (^[Y0 : $i > $o]: 51.43/7.10 (((Y0 @ ('#sk405' @ X0)) & 51.43/7.10 (((!!) @ (^[Y1 : $i]: 51.43/7.10 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))))) 51.43/7.10 | (((!!) @ (^[Y0 : $i]: 51.43/7.10 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 51.43/7.10 (^[Y1 : $i]: 51.43/7.10 (((??) @ (^[Y2 : $i > $o]: 51.43/7.10 (((Y2 @ Y1) & 51.43/7.10 (((!!) @ (^[Y3 : $i]: 51.43/7.10 (((Y2 @ Y3) => 51.43/7.10 ('#sk1' @ Y2 @ Y3)))))))))))) @ 51.43/7.10 Y0)))))))), 51.43/7.10 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl141])). 51.43/7.10 thf(zip_derived_cl144, plain, 51.43/7.10 (![X0 : $i > $o]: 51.43/7.10 (~ (((??) @ (^[Y0 : $i > $o]: 51.43/7.10 (((Y0 @ ('#sk405' @ X0)) & 51.43/7.10 (((!!) @ (^[Y1 : $i]: 51.43/7.10 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))) 51.43/7.10 | (((!!) @ (^[Y0 : $i]: 51.43/7.10 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 51.43/7.10 (^[Y1 : $i]: 51.43/7.10 (((??) @ (^[Y2 : $i > $o]: 51.43/7.10 (((Y2 @ Y1) & 51.43/7.10 (((!!) @ (^[Y3 : $i]: 51.43/7.10 (((Y2 @ Y3) => 51.43/7.10 ('#sk1' @ Y2 @ Y3)))))))))))) @ 51.43/7.10 Y0)))))))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl142])). 51.43/7.10 thf(zip_derived_cl146, plain, 51.43/7.10 (![X0 : $i > $o, X2 : $i > $o]: 51.43/7.10 (~ (((X2 @ ('#sk405' @ X0)) & 51.43/7.10 (((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => ('#sk1' @ X2 @ Y0)))))))) 51.43/7.10 | (((!!) @ (^[Y0 : $i]: 51.43/7.10 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 51.43/7.10 (^[Y1 : $i]: 51.43/7.10 (((??) @ (^[Y2 : $i > $o]: 51.43/7.10 (((Y2 @ Y1) & 51.43/7.10 (((!!) @ (^[Y3 : $i]: 51.43/7.10 (((Y2 @ Y3) => 51.43/7.10 ('#sk1' @ Y2 @ Y3)))))))))))) @ 51.43/7.10 Y0)))))))), 51.43/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl144])). 51.43/7.10 thf(zip_derived_cl150, plain, 51.43/7.10 (![X0 : $i > $o, X2 : $i > $o]: 51.43/7.10 (~ (X2 @ ('#sk405' @ X0)) 51.43/7.10 | ~ (((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => ('#sk1' @ X2 @ Y0)))))) 51.43/7.10 | (((!!) @ (^[Y0 : $i]: 51.43/7.10 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 51.43/7.10 (^[Y1 : $i]: 51.43/7.10 (((??) @ (^[Y2 : $i > $o]: 51.43/7.10 (((Y2 @ Y1) & 51.43/7.10 (((!!) @ (^[Y3 : $i]: 51.43/7.10 (((Y2 @ Y3) => 51.43/7.10 ('#sk1' @ Y2 @ Y3)))))))))))) @ 51.43/7.10 Y0)))))))), 51.43/7.10 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl146])). 51.43/7.10 thf(zip_derived_cl151, plain, 51.43/7.10 (![X0 : $i > $o, X2 : $i > $o]: 51.43/7.10 (~ (((X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) => ('#sk1' @ X2 @ 51.43/7.10 ('#sk13' @ X2 @ ('#sk1' @ X2))))) 51.43/7.10 | (((!!) @ (^[Y0 : $i]: 51.43/7.10 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 51.43/7.10 (^[Y1 : $i]: 51.43/7.10 (((??) @ (^[Y2 : $i > $o]: 51.43/7.10 (((Y2 @ Y1) & 51.43/7.10 (((!!) @ (^[Y3 : $i]: 51.43/7.10 (((Y2 @ Y3) => 51.43/7.10 ('#sk1' @ Y2 @ Y3)))))))))))) @ 51.43/7.10 Y0)))))) 51.43/7.10 | ~ (X2 @ ('#sk405' @ X0)))), 51.43/7.10 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl150])). 51.43/7.10 thf(zip_derived_cl152, plain, 51.43/7.10 (![X0 : $i > $o, X2 : $i > $o]: 51.43/7.10 ( (X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) 51.43/7.10 | ~ (X2 @ ('#sk405' @ X0)) 51.43/7.10 | (((!!) @ (^[Y0 : $i]: 51.43/7.10 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 51.43/7.10 (^[Y1 : $i]: 51.43/7.10 (((??) @ (^[Y2 : $i > $o]: 51.43/7.10 (((Y2 @ Y1) & 51.43/7.10 (((!!) @ (^[Y3 : $i]: 51.43/7.10 (((Y2 @ Y3) => 51.43/7.10 ('#sk1' @ Y2 @ Y3)))))))))))) @ 51.43/7.10 Y0)))))))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl151])). 51.43/7.10 thf(zip_derived_cl154, plain, 51.43/7.10 (![X0 : $i > $o, X2 : $i > $o, X4 : $i]: 51.43/7.10 ( ((('#sk1' @ X0 @ X4) => ('#sk1' @ 51.43/7.10 (^[Y0 : $i]: 51.43/7.10 (((??) @ (^[Y1 : $i > $o]: 51.43/7.10 (((Y1 @ Y0) & 51.43/7.10 (((!!) @ (^[Y2 : $i]: 51.43/7.10 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))))))))) @ 51.43/7.10 X4))) 51.43/7.10 | ~ (X2 @ ('#sk405' @ X0)) 51.43/7.10 | (X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))))), 51.43/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl152])). 51.43/7.10 thf(zip_derived_cl156, plain, 51.43/7.10 (![X0 : $i > $o, X2 : $i > $o, X4 : $i]: 51.43/7.10 (~ ('#sk1' @ X0 @ X4) 51.43/7.10 | ('#sk1' @ 51.43/7.10 (^[Y0 : $i]: 51.43/7.10 (((??) @ (^[Y1 : $i > $o]: 51.43/7.10 (((Y1 @ Y0) & 51.43/7.10 (((!!) @ (^[Y2 : $i]: 51.43/7.10 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))))))))) @ 51.43/7.10 X4) 51.43/7.10 | (X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) 51.43/7.10 | ~ (X2 @ ('#sk405' @ X0)))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl154])). 51.43/7.10 thf(zip_derived_cl3, plain, 51.43/7.10 (~ (((!!) @ (^[Y0 : $i]: 51.43/7.10 ((('#sk1' @ 51.43/7.10 (^[Y1 : $i]: 51.43/7.10 (((??) @ (^[Y2 : $i > $o]: 51.43/7.10 (((Y2 @ Y1) & 51.43/7.10 (((!!) @ (^[Y3 : $i]: 51.43/7.10 (((Y2 @ Y3) => ('#sk1' @ 51.43/7.10 Y2 @ Y3)))))))))))) @ 51.43/7.10 Y0) => 51.43/7.10 (((??) @ (^[Y1 : $i > $o]: 51.43/7.10 (((((!!) @ (^[Y2 : $i]: 51.43/7.10 (((Y1 @ Y2) => ('#sk1' @ Y1 @ 51.43/7.10 Y2)))))) & 51.43/7.10 (Y1 @ Y0)))))))))))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 51.43/7.10 thf(zip_derived_cl5, plain, 51.43/7.10 (~ ((('#sk1' @ 51.43/7.10 (^[Y0 : $i]: 51.43/7.10 (((??) @ (^[Y1 : $i > $o]: 51.43/7.10 (((Y1 @ Y0) & 51.43/7.10 (((!!) @ (^[Y2 : $i]: 51.43/7.10 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))))))))) @ 51.43/7.10 '#sk2') => 51.43/7.10 (((??) @ (^[Y0 : $i > $o]: 51.43/7.10 (((((!!) @ (^[Y1 : $i]: 51.43/7.10 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 51.43/7.10 (Y0 @ '#sk2'))))))))), 51.43/7.10 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 51.43/7.10 thf(zip_derived_cl7, plain, 51.43/7.10 ( ('#sk1' @ 51.43/7.10 (^[Y0 : $i]: 51.43/7.10 (((??) @ (^[Y1 : $i > $o]: 51.43/7.10 (((Y1 @ Y0) & 51.43/7.10 (((!!) @ (^[Y2 : $i]: 51.43/7.10 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))))))))) @ 51.43/7.10 '#sk2')), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 51.43/7.10 thf(zip_derived_cl4034, plain, 51.43/7.10 (![X1 : $i]: 51.43/7.10 (('#l_lift14662' @ X1) 51.43/7.10 = (((??) @ (^[Y0 : $i > $o]: 51.43/7.10 (((Y0 @ X1) & 51.43/7.10 (((!!) @ (^[Y1 : $i]: 51.43/7.10 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))))), 51.43/7.10 define([status(thm)])). 51.43/7.10 thf(zip_derived_cl4038, plain, 51.43/7.10 (![X0 : $i > $o, X2 : $i > $o, X4 : $i]: 51.43/7.10 (~ ('#sk1' @ X0 @ X4) 51.43/7.10 | ('#sk1' @ '#l_lift14662' @ X4) 51.43/7.10 | (X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) 51.43/7.10 | ~ (X2 @ ('#sk405' @ X0)))), 51.43/7.10 inference('lambda_lifting', [status(thm)], 51.43/7.10 [zip_derived_cl156, zip_derived_cl4034])). 51.43/7.10 thf(zip_derived_cl153, plain, 51.43/7.10 (![X0 : $i > $o, X2 : $i > $o]: 51.43/7.10 (~ ('#sk1' @ X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) 51.43/7.10 | ~ (X2 @ ('#sk405' @ X0)) 51.43/7.10 | (((!!) @ (^[Y0 : $i]: 51.43/7.10 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 51.43/7.10 (^[Y1 : $i]: 51.43/7.10 (((??) @ (^[Y2 : $i > $o]: 51.43/7.10 (((Y2 @ Y1) & 51.43/7.10 (((!!) @ (^[Y3 : $i]: 51.43/7.10 (((Y2 @ Y3) => 51.43/7.10 ('#sk1' @ Y2 @ Y3)))))))))))) @ 51.43/7.10 Y0)))))))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl151])). 51.43/7.10 thf(zip_derived_cl155, plain, 51.43/7.10 (![X0 : $i > $o, X2 : $i > $o, X4 : $i]: 51.43/7.10 ( ((('#sk1' @ X0 @ X4) => ('#sk1' @ 51.43/7.10 (^[Y0 : $i]: 51.43/7.10 (((??) @ (^[Y1 : $i > $o]: 51.43/7.10 (((Y1 @ Y0) & 51.43/7.10 (((!!) @ (^[Y2 : $i]: 51.43/7.10 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))))))))) @ 51.43/7.10 X4))) 51.43/7.10 | ~ (X2 @ ('#sk405' @ X0)) 51.43/7.10 | ~ ('#sk1' @ X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))))), 51.43/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl153])). 51.43/7.10 thf(zip_derived_cl157, plain, 51.43/7.10 (![X0 : $i > $o, X2 : $i > $o, X4 : $i]: 51.43/7.10 (~ ('#sk1' @ X0 @ X4) 51.43/7.10 | ('#sk1' @ 51.43/7.10 (^[Y0 : $i]: 51.43/7.10 (((??) @ (^[Y1 : $i > $o]: 51.43/7.10 (((Y1 @ Y0) & 51.43/7.10 (((!!) @ (^[Y2 : $i]: 51.43/7.10 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))))))))) @ 51.43/7.10 X4) 51.43/7.10 | ~ ('#sk1' @ X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) 51.43/7.10 | ~ (X2 @ ('#sk405' @ X0)))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl155])). 51.43/7.10 thf(zip_derived_cl4034, plain, 51.43/7.10 (![X1 : $i]: 51.43/7.10 (('#l_lift14662' @ X1) 51.43/7.10 = (((??) @ (^[Y0 : $i > $o]: 51.43/7.10 (((Y0 @ X1) & 51.43/7.10 (((!!) @ (^[Y1 : $i]: 51.43/7.10 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))))), 51.43/7.10 define([status(thm)])). 51.43/7.10 thf(zip_derived_cl4039, plain, 51.43/7.10 (![X0 : $i > $o, X2 : $i > $o, X4 : $i]: 51.43/7.10 (~ ('#sk1' @ X0 @ X4) 51.43/7.10 | ('#sk1' @ '#l_lift14662' @ X4) 51.43/7.10 | ~ ('#sk1' @ X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) 51.43/7.10 | ~ (X2 @ ('#sk405' @ X0)))), 51.43/7.10 inference('lambda_lifting', [status(thm)], 51.43/7.10 [zip_derived_cl157, zip_derived_cl4034])). 51.43/7.10 thf(zip_derived_cl7, plain, 51.43/7.10 ( ('#sk1' @ 51.43/7.10 (^[Y0 : $i]: 51.43/7.10 (((??) @ (^[Y1 : $i > $o]: 51.43/7.10 (((Y1 @ Y0) & 51.43/7.10 (((!!) @ (^[Y2 : $i]: 51.43/7.10 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))))))))) @ 51.43/7.10 '#sk2')), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 51.43/7.10 thf(zip_derived_cl4034, plain, 51.43/7.10 (![X1 : $i]: 51.43/7.10 (('#l_lift14662' @ X1) 51.43/7.10 = (((??) @ (^[Y0 : $i > $o]: 51.43/7.10 (((Y0 @ X1) & 51.43/7.10 (((!!) @ (^[Y1 : $i]: 51.43/7.10 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))))), 51.43/7.10 define([status(thm)])). 51.43/7.10 thf(zip_derived_cl4035, plain, ( ('#sk1' @ '#l_lift14662' @ '#sk2')), 51.43/7.10 inference('lambda_lifting', [status(thm)], 51.43/7.10 [zip_derived_cl7, zip_derived_cl4034])). 51.43/7.10 thf(zip_derived_cl13, plain, 51.43/7.10 (![X2 : $i > $o, X4 : $i > $o]: 51.43/7.10 ( (X2 @ ('#sk13' @ X2 @ X4)) 51.43/7.10 | (((!!) @ (^[Y0 : $i]: ((('#sk1' @ X2 @ Y0) => ('#sk1' @ X4 @ Y0)))))))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 51.43/7.10 thf(zip_derived_cl16, plain, 51.43/7.10 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 51.43/7.10 ( ((('#sk1' @ X2 @ X6) => ('#sk1' @ X4 @ X6))) 51.43/7.10 | (X2 @ ('#sk13' @ X2 @ X4)))), 51.43/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 51.43/7.10 thf(zip_derived_cl20, plain, 51.43/7.10 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 51.43/7.10 (~ ('#sk1' @ X2 @ X6) 51.43/7.10 | ('#sk1' @ X4 @ X6) 51.43/7.10 | (X2 @ ('#sk13' @ X2 @ X4)))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 51.43/7.10 thf(zip_derived_cl143, plain, 51.43/7.10 (![X0 : $i > $o]: 51.43/7.10 ( (X0 @ ('#sk405' @ X0)) 51.43/7.10 | (((!!) @ (^[Y0 : $i]: 51.43/7.10 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 51.43/7.10 (^[Y1 : $i]: 51.43/7.10 (((??) @ (^[Y2 : $i > $o]: 51.43/7.10 (((Y2 @ Y1) & 51.43/7.10 (((!!) @ (^[Y3 : $i]: 51.43/7.10 (((Y2 @ Y3) => 51.43/7.10 ('#sk1' @ Y2 @ Y3)))))))))))) @ 51.43/7.10 Y0)))))))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl142])). 51.43/7.10 thf(zip_derived_cl145, plain, 51.43/7.10 (![X0 : $i > $o, X2 : $i]: 51.43/7.10 ( ((('#sk1' @ X0 @ X2) => ('#sk1' @ 51.43/7.10 (^[Y0 : $i]: 51.43/7.10 (((??) @ (^[Y1 : $i > $o]: 51.43/7.10 (((Y1 @ Y0) & 51.43/7.10 (((!!) @ (^[Y2 : $i]: 51.43/7.10 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))))))))) @ 51.43/7.10 X2))) 51.43/7.10 | (X0 @ ('#sk405' @ X0)))), 51.43/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl143])). 51.43/7.10 thf(zip_derived_cl149, plain, 51.43/7.10 (![X0 : $i > $o, X2 : $i]: 51.43/7.10 (~ ('#sk1' @ X0 @ X2) 51.43/7.10 | ('#sk1' @ 51.43/7.10 (^[Y0 : $i]: 51.43/7.10 (((??) @ (^[Y1 : $i > $o]: 51.43/7.10 (((Y1 @ Y0) & 51.43/7.10 (((!!) @ (^[Y2 : $i]: 51.43/7.10 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))))))))) @ 51.43/7.10 X2) 51.43/7.10 | (X0 @ ('#sk405' @ X0)))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl145])). 51.43/7.10 thf(zip_derived_cl4034, plain, 51.43/7.10 (![X1 : $i]: 51.43/7.10 (('#l_lift14662' @ X1) 51.43/7.10 = (((??) @ (^[Y0 : $i > $o]: 51.43/7.10 (((Y0 @ X1) & 51.43/7.10 (((!!) @ (^[Y1 : $i]: 51.43/7.10 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))))), 51.43/7.10 define([status(thm)])). 51.43/7.10 thf(zip_derived_cl4037, plain, 51.43/7.10 (![X0 : $i > $o, X2 : $i]: 51.43/7.10 (~ ('#sk1' @ X0 @ X2) 51.43/7.10 | ('#sk1' @ '#l_lift14662' @ X2) 51.43/7.10 | (X0 @ ('#sk405' @ X0)))), 51.43/7.10 inference('lambda_lifting', [status(thm)], 51.43/7.10 [zip_derived_cl149, zip_derived_cl4034])). 51.43/7.10 thf(zip_derived_cl4034, plain, 51.43/7.10 (![X1 : $i]: 51.43/7.10 (('#l_lift14662' @ X1) 51.43/7.10 = (((??) @ (^[Y0 : $i > $o]: 51.43/7.10 (((Y0 @ X1) & 51.43/7.10 (((!!) @ (^[Y1 : $i]: 51.43/7.10 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1))))))))))))), 51.43/7.10 define([status(thm)])). 51.43/7.10 thf(zip_derived_cl8, plain, 51.43/7.10 (~ (((??) @ (^[Y0 : $i > $o]: 51.43/7.10 (((((!!) @ (^[Y1 : $i]: 51.43/7.10 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 51.43/7.10 (Y0 @ '#sk2'))))))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 51.43/7.10 thf(zip_derived_cl10, plain, 51.43/7.10 (![X2 : $i > $o]: 51.43/7.10 ~ (((((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => ('#sk1' @ X2 @ Y0)))))) & 51.43/7.10 (X2 @ '#sk2')))), 51.43/7.10 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 51.43/7.10 thf(zip_derived_cl12, plain, 51.43/7.10 (![X2 : $i > $o]: 51.43/7.10 (~ (((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => ('#sk1' @ X2 @ Y0)))))) 51.43/7.10 | ~ (X2 @ '#sk2'))), 51.43/7.10 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 51.43/7.10 thf(zip_derived_cl15, plain, 51.43/7.10 (![X2 : $i > $o]: 51.43/7.10 (~ (((X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) => ('#sk1' @ X2 @ 51.43/7.10 ('#sk13' @ X2 @ ('#sk1' @ X2))))) 51.43/7.10 | ~ (X2 @ '#sk2'))), 51.43/7.10 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])). 51.43/7.10 thf(zip_derived_cl18, plain, 51.43/7.10 (![X2 : $i > $o]: 51.43/7.10 ( (X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) | ~ (X2 @ '#sk2'))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 51.43/7.10 thf(zip_derived_cl19, plain, 51.43/7.10 (![X2 : $i > $o]: 51.43/7.10 (~ ('#sk1' @ X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) | ~ (X2 @ '#sk2'))), 51.43/7.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 51.43/7.10 thf(zip_derived_cl4052, plain, ($false), 51.43/7.10 inference('eprover', [status(thm)], 51.43/7.10 [zip_derived_cl21, zip_derived_cl4038, zip_derived_cl4039, 51.43/7.10 zip_derived_cl4035, zip_derived_cl20, zip_derived_cl4037, 51.43/7.10 zip_derived_cl4034, zip_derived_cl18, zip_derived_cl19])). 51.43/7.10 51.43/7.10 % SZS output end Refutation 51.43/7.10 51.43/7.10 51.43/7.10 % Terminating... 52.03/7.15 % Runner terminated. 52.03/7.17 % Zipperpin 1.5 exiting 52.03/7.17 EOF