0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GAhVn0f1w9 true 0.15/0.36 % Computer : n018.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.36 % CPULimit : 960 0.15/0.36 % WCLimit : 120 0.15/0.36 % DateTime : Tue Aug 9 02:54:30 EDT 2022 0.15/0.36 % CPUTime : 0.15/0.36 % Running portfolio for 960 s 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.36 % Number of cores: 8 0.15/0.36 % Python version: Python 3.6.8 0.15/0.37 % Running in HO mode 0.56/0.68 % Total configuration time : 828 0.56/0.68 % Estimated wc time : 1656 0.56/0.68 % Estimated cpu time (8 cpus) : 207.0 0.56/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.57/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.58/0.81 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.58/0.81 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.58/0.81 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.58/0.81 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.58/0.82 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.58/0.83 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 40.51/7.14 % Solved by lams/20_acsne_simpl.sh. 40.51/7.14 % running E: timeout 13 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.GAhVn0f1w9/e_input12787b --cpu-limit=11 --auto -s -p 40.51/7.14 % done 243 iterations in 6.273s 40.51/7.14 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 40.51/7.14 % SZS output start Refutation 40.51/7.14 thf('#sk13_type', type, '#sk13': ($i > $o) > ($i > $o) > $i). 40.51/7.14 thf('#sk56_type', type, '#sk56': ($i > $o) > $i). 40.51/7.14 thf('#l_lift17654_type', type, '#l_lift17654': $i > $o). 40.51/7.14 thf('#sk2_type', type, '#sk2': $i). 40.51/7.14 thf('#sk1_type', type, '#sk1': ($i > $o) > $i > $o). 40.51/7.14 thf(cTHM2A_EXPANDED_pme, conjecture, 40.51/7.14 (![K:( ( $i > $o ) > $i > $o )]: 40.51/7.14 ( ( ( ![Xx:( $i > $o ),Xy:( $i > $o )]: 40.51/7.14 ( ( ![Xx0:$i]: ( ( Xx @ Xx0 ) => ( Xy @ Xx0 ) ) ) => 40.51/7.14 ( ![Xx0:$i]: ( ( K @ Xx @ Xx0 ) => ( K @ Xy @ Xx0 ) ) ) ) ) & 40.51/7.14 ( ![Xx:( $i > $o ),Xy:( $i > $o )]: 40.51/7.14 ( ( ![Xx0:$i]: ( ( Xx @ Xx0 ) => ( Xy @ Xx0 ) ) ) => 40.51/7.14 ( ![Xx0:$i]: ( ( K @ Xx @ Xx0 ) => ( K @ Xy @ Xx0 ) ) ) ) ) ) => 40.51/7.14 ( ![Xx:$i]: 40.51/7.14 ( ( K @ 40.51/7.14 ( ^[Xx0:$i]: 40.51/7.14 ( ?[S:( $i > $o )]: 40.51/7.14 ( ( ![Xx1:$i]: ( ( S @ Xx1 ) => ( K @ S @ Xx1 ) ) ) & 40.51/7.14 ( S @ Xx0 ) ) ) ) @ 40.51/7.14 Xx ) <=> 40.51/7.14 ( ?[S:( $i > $o )]: 40.51/7.14 ( ( ![Xx0:$i]: ( ( S @ Xx0 ) => ( K @ S @ Xx0 ) ) ) & ( S @ Xx ) ) ) ) ) ))). 40.51/7.14 thf(zf_stmt_0, negated_conjecture, 40.51/7.14 (~( ![K:( ( $i > $o ) > $i > $o )]: 40.51/7.14 ( ( ( ![Xx:( $i > $o ),Xy:( $i > $o )]: 40.51/7.14 ( ( ![Xx0:$i]: ( ( Xx @ Xx0 ) => ( Xy @ Xx0 ) ) ) => 40.51/7.14 ( ![Xx0:$i]: ( ( K @ Xx @ Xx0 ) => ( K @ Xy @ Xx0 ) ) ) ) ) & 40.51/7.14 ( ![Xx:( $i > $o ),Xy:( $i > $o )]: 40.51/7.14 ( ( ![Xx0:$i]: ( ( Xx @ Xx0 ) => ( Xy @ Xx0 ) ) ) => 40.51/7.14 ( ![Xx0:$i]: ( ( K @ Xx @ Xx0 ) => ( K @ Xy @ Xx0 ) ) ) ) ) ) => 40.51/7.14 ( ![Xx:$i]: 40.51/7.14 ( ( K @ 40.51/7.14 ( ^[Xx0:$i]: 40.51/7.14 ( ?[S:( $i > $o )]: 40.51/7.14 ( ( ![Xx1:$i]: ( ( S @ Xx1 ) => ( K @ S @ Xx1 ) ) ) & 40.51/7.14 ( S @ Xx0 ) ) ) ) @ 40.51/7.14 Xx ) <=> 40.51/7.14 ( ?[S:( $i > $o )]: 40.51/7.14 ( ( ![Xx0:$i]: ( ( S @ Xx0 ) => ( K @ S @ Xx0 ) ) ) & 40.51/7.14 ( S @ Xx ) ) ) ) ) ) )), 40.51/7.14 inference('cnf.neg', [status(esa)], [cTHM2A_EXPANDED_pme])). 40.51/7.14 thf(zip_derived_cl0, plain, 40.51/7.14 (~ (((!!) @ (^[Y0 : ($i > $o) > $i > $o]: 40.51/7.14 (((((((!!) @ (^[Y1 : $i > $o]: 40.51/7.14 (((!!) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y1 @ Y3) => 40.51/7.14 (Y2 @ Y3)))))) => 40.51/7.14 (((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y0 @ Y1 @ 40.51/7.14 Y3) => (Y0 @ 40.51/7.14 Y2 @ Y3)))))))))))))) & 40.51/7.14 (((!!) @ (^[Y1 : $i > $o]: 40.51/7.14 (((!!) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y1 @ Y3) => 40.51/7.14 (Y2 @ Y3)))))) => 40.51/7.14 (((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y0 @ Y1 @ 40.51/7.14 Y3) => (Y0 @ 40.51/7.14 Y2 @ Y3)))))))))))))))) => 40.51/7.14 (((!!) @ (^[Y1 : $i]: 40.51/7.14 (((Y0 @ 40.51/7.14 (^[Y2 : $i]: 40.51/7.14 (((??) @ (^[Y3 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y4 : $i]: 40.51/7.14 (((Y3 @ 40.51/7.14 Y4) => 40.51/7.14 (Y0 @ Y3 @ 40.51/7.14 Y4)))))) & 40.51/7.14 (Y3 @ Y2))))))) @ 40.51/7.14 Y1) <=> 40.51/7.14 (((??) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y2 @ Y3) => 40.51/7.14 (Y0 @ Y2 @ Y3)))))) & 40.51/7.14 (Y2 @ Y1))))))))))))))))), 40.51/7.14 inference('cnf', [status(esa)], [zf_stmt_0])). 40.51/7.14 thf(zip_derived_cl1, plain, 40.51/7.14 (~ (((!!) @ (^[Y0 : ($i > $o) > $i > $o]: 40.51/7.14 (((((!!) @ (^[Y1 : $i > $o]: 40.51/7.14 (((!!) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y1 @ Y3) => 40.51/7.14 (Y2 @ Y3)))))) => 40.51/7.14 (((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y0 @ Y1 @ 40.51/7.14 Y3) => (Y0 @ 40.51/7.14 Y2 @ Y3)))))))))))))) => 40.51/7.14 (((!!) @ (^[Y1 : $i]: 40.51/7.14 (((Y0 @ 40.51/7.14 (^[Y2 : $i]: 40.51/7.14 (((??) @ (^[Y3 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y4 : $i]: 40.51/7.14 (((Y3 @ 40.51/7.14 Y4) => 40.51/7.14 (Y0 @ Y3 @ 40.51/7.14 Y4)))))) & 40.51/7.14 (Y3 @ Y2))))))) @ 40.51/7.14 Y1) <=> 40.51/7.14 (((??) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y2 @ Y3) => 40.51/7.14 (Y0 @ Y2 @ Y3)))))) & 40.51/7.14 (Y2 @ Y1))))))))))))))))), 40.51/7.14 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl0])). 40.51/7.14 thf(zip_derived_cl2, plain, 40.51/7.14 (~ (((((!!) @ (^[Y0 : $i > $o]: 40.51/7.14 (((!!) @ (^[Y1 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y2 : $i]: 40.51/7.14 (((Y0 @ Y2) => (Y1 @ Y2)))))) => 40.51/7.14 (((!!) @ (^[Y2 : $i]: 40.51/7.14 ((('#sk1' @ Y0 @ Y2) => 40.51/7.14 ('#sk1' @ Y1 @ Y2)))))))))))))) => 40.51/7.14 (((!!) @ (^[Y0 : $i]: 40.51/7.14 ((('#sk1' @ 40.51/7.14 (^[Y1 : $i]: 40.51/7.14 (((??) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y2 @ Y3) => ('#sk1' @ 40.51/7.14 Y2 @ Y3)))))) & 40.51/7.14 (Y2 @ Y1))))))) @ 40.51/7.14 Y0) <=> 40.51/7.14 (((??) @ (^[Y1 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y2 : $i]: 40.51/7.14 (((Y1 @ Y2) => ('#sk1' @ 40.51/7.14 Y1 @ Y2)))))) & 40.51/7.14 (Y1 @ Y0)))))))))))))), 40.51/7.14 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 40.51/7.14 thf(zip_derived_cl3, plain, 40.51/7.14 ( (((!!) @ (^[Y0 : $i > $o]: 40.51/7.14 (((!!) @ (^[Y1 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y2 : $i]: 40.51/7.14 (((Y0 @ Y2) => (Y1 @ Y2)))))) => 40.51/7.14 (((!!) @ (^[Y2 : $i]: 40.51/7.14 ((('#sk1' @ Y0 @ Y2) => 40.51/7.14 ('#sk1' @ Y1 @ Y2))))))))))))))), 40.51/7.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2])). 40.51/7.14 thf(zip_derived_cl5, plain, 40.51/7.14 (![X2 : $i > $o]: 40.51/7.14 (((!!) @ (^[Y0 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y1 : $i]: (((X2 @ Y1) => (Y0 @ Y1)))))) => 40.51/7.14 (((!!) @ (^[Y1 : $i]: 40.51/7.14 ((('#sk1' @ X2 @ Y1) => ('#sk1' @ Y0 @ Y1)))))))))))), 40.51/7.14 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 40.51/7.14 thf(zip_derived_cl7, plain, 40.51/7.14 (![X2 : $i > $o, X4 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => (X4 @ Y0)))))) => 40.51/7.14 (((!!) @ (^[Y0 : $i]: ((('#sk1' @ X2 @ Y0) => ('#sk1' @ X4 @ Y0))))))))), 40.51/7.14 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 40.51/7.14 thf(zip_derived_cl9, plain, 40.51/7.14 (![X2 : $i > $o, X4 : $i > $o]: 40.51/7.14 (~ (((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => (X4 @ Y0)))))) 40.51/7.14 | (((!!) @ (^[Y0 : $i]: ((('#sk1' @ X2 @ Y0) => ('#sk1' @ X4 @ Y0)))))))), 40.51/7.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])). 40.51/7.14 thf(zip_derived_cl10, plain, 40.51/7.14 (![X2 : $i > $o, X4 : $i > $o]: 40.51/7.14 (~ (((X2 @ ('#sk13' @ X2 @ X4)) => (X4 @ ('#sk13' @ X2 @ X4)))) 40.51/7.14 | (((!!) @ (^[Y0 : $i]: ((('#sk1' @ X2 @ Y0) => ('#sk1' @ X4 @ Y0)))))))), 40.51/7.14 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])). 40.51/7.14 thf(zip_derived_cl12, plain, 40.51/7.14 (![X2 : $i > $o, X4 : $i > $o]: 40.51/7.14 (~ (X4 @ ('#sk13' @ X2 @ X4)) 40.51/7.14 | (((!!) @ (^[Y0 : $i]: ((('#sk1' @ X2 @ Y0) => ('#sk1' @ X4 @ Y0)))))))), 40.51/7.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])). 40.51/7.14 thf(zip_derived_cl14, plain, 40.51/7.14 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 40.51/7.14 ( ((('#sk1' @ X2 @ X6) => ('#sk1' @ X4 @ X6))) 40.51/7.14 | ~ (X4 @ ('#sk13' @ X2 @ X4)))), 40.51/7.14 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 40.51/7.14 thf(zip_derived_cl16, plain, 40.51/7.14 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 40.51/7.14 (~ ('#sk1' @ X2 @ X6) 40.51/7.14 | ('#sk1' @ X4 @ X6) 40.51/7.14 | ~ (X4 @ ('#sk13' @ X2 @ X4)))), 40.51/7.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])). 40.51/7.14 thf(zip_derived_cl7, plain, 40.51/7.14 (![X2 : $i > $o, X4 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => (X4 @ Y0)))))) => 40.51/7.14 (((!!) @ (^[Y0 : $i]: ((('#sk1' @ X2 @ Y0) => ('#sk1' @ X4 @ Y0))))))))), 40.51/7.14 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 40.51/7.14 thf(zip_derived_cl17, plain, 40.51/7.14 (![X0 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y0 : $i]: 40.51/7.14 (((X0 @ Y0) => 40.51/7.14 (((??) @ (^[Y1 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y2 : $i]: 40.51/7.14 (((Y1 @ Y2) => ('#sk1' @ 40.51/7.14 Y1 @ Y2)))))) & 40.51/7.14 (Y1 @ Y0))))))))))) => 40.51/7.14 (((!!) @ (^[Y0 : $i]: 40.51/7.14 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 40.51/7.14 (^[Y1 : $i]: 40.51/7.14 (((??) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y2 @ Y3) => 40.51/7.14 ('#sk1' @ Y2 @ Y3)))))) & 40.51/7.14 (Y2 @ Y1))))))) @ 40.51/7.14 Y0))))))))), 40.51/7.14 inference('triggered_bool_instantiation', [status(thm)], 40.51/7.14 [zip_derived_cl7])). 40.51/7.14 thf(zip_derived_cl19, plain, 40.51/7.14 (![X0 : $i > $o]: 40.51/7.14 (~ (((!!) @ (^[Y0 : $i]: 40.51/7.14 (((X0 @ Y0) => 40.51/7.14 (((??) @ (^[Y1 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y2 : $i]: 40.51/7.14 (((Y1 @ Y2) => ('#sk1' @ 40.51/7.14 Y1 @ Y2)))))) & 40.51/7.14 (Y1 @ Y0))))))))))) 40.51/7.14 | (((!!) @ (^[Y0 : $i]: 40.51/7.14 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 40.51/7.14 (^[Y1 : $i]: 40.51/7.14 (((??) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y2 @ Y3) => 40.51/7.14 ('#sk1' @ Y2 @ Y3)))))) & 40.51/7.14 (Y2 @ Y1))))))) @ 40.51/7.14 Y0)))))))), 40.51/7.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl17])). 40.51/7.14 thf(zip_derived_cl20, plain, 40.51/7.14 (![X0 : $i > $o]: 40.51/7.14 (~ (((X0 @ ('#sk56' @ X0)) => 40.51/7.14 (((??) @ (^[Y0 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y1 : $i]: 40.51/7.14 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 40.51/7.14 (Y0 @ ('#sk56' @ X0))))))))) 40.51/7.14 | (((!!) @ (^[Y0 : $i]: 40.51/7.14 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 40.51/7.14 (^[Y1 : $i]: 40.51/7.14 (((??) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y2 @ Y3) => 40.51/7.14 ('#sk1' @ Y2 @ Y3)))))) & 40.51/7.14 (Y2 @ Y1))))))) @ 40.51/7.14 Y0)))))))), 40.51/7.14 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 40.51/7.14 thf(zip_derived_cl22, plain, 40.51/7.14 (![X0 : $i > $o]: 40.51/7.14 (~ (((??) @ (^[Y0 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y1 : $i]: 40.51/7.14 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 40.51/7.14 (Y0 @ ('#sk56' @ X0))))))) 40.51/7.14 | (((!!) @ (^[Y0 : $i]: 40.51/7.14 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 40.51/7.14 (^[Y1 : $i]: 40.51/7.14 (((??) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y2 @ Y3) => 40.51/7.14 ('#sk1' @ Y2 @ Y3)))))) & 40.51/7.14 (Y2 @ Y1))))))) @ 40.51/7.14 Y0)))))))), 40.51/7.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 40.51/7.14 thf(zip_derived_cl24, plain, 40.51/7.14 (![X0 : $i > $o, X2 : $i > $o]: 40.51/7.14 (~ (((((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => ('#sk1' @ X2 @ Y0)))))) & 40.51/7.14 (X2 @ ('#sk56' @ X0)))) 40.51/7.14 | (((!!) @ (^[Y0 : $i]: 40.51/7.14 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 40.51/7.14 (^[Y1 : $i]: 40.51/7.14 (((??) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y2 @ Y3) => 40.51/7.14 ('#sk1' @ Y2 @ Y3)))))) & 40.51/7.14 (Y2 @ Y1))))))) @ 40.51/7.14 Y0)))))))), 40.51/7.14 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])). 40.51/7.14 thf(zip_derived_cl27, plain, 40.51/7.14 (![X0 : $i > $o, X2 : $i > $o]: 40.51/7.14 (~ (((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => ('#sk1' @ X2 @ Y0)))))) 40.51/7.14 | ~ (X2 @ ('#sk56' @ X0)) 40.51/7.14 | (((!!) @ (^[Y0 : $i]: 40.51/7.14 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 40.51/7.14 (^[Y1 : $i]: 40.51/7.14 (((??) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y2 @ Y3) => 40.51/7.14 ('#sk1' @ Y2 @ Y3)))))) & 40.51/7.14 (Y2 @ Y1))))))) @ 40.51/7.14 Y0)))))))), 40.51/7.14 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl24])). 40.51/7.14 thf(zip_derived_cl28, plain, 40.51/7.14 (![X0 : $i > $o, X2 : $i > $o]: 40.51/7.14 (~ (((X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) => ('#sk1' @ X2 @ 40.51/7.14 ('#sk13' @ X2 @ ('#sk1' @ X2))))) 40.51/7.14 | (((!!) @ (^[Y0 : $i]: 40.51/7.14 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 40.51/7.14 (^[Y1 : $i]: 40.51/7.14 (((??) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y2 @ Y3) => 40.51/7.14 ('#sk1' @ Y2 @ Y3)))))) & 40.51/7.14 (Y2 @ Y1))))))) @ 40.51/7.14 Y0)))))) 40.51/7.14 | ~ (X2 @ ('#sk56' @ X0)))), 40.51/7.14 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl27])). 40.51/7.14 thf(zip_derived_cl29, plain, 40.51/7.14 (![X0 : $i > $o, X2 : $i > $o]: 40.51/7.14 ( (X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) 40.51/7.14 | ~ (X2 @ ('#sk56' @ X0)) 40.51/7.14 | (((!!) @ (^[Y0 : $i]: 40.51/7.14 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 40.51/7.14 (^[Y1 : $i]: 40.51/7.14 (((??) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y2 @ Y3) => 40.51/7.14 ('#sk1' @ Y2 @ Y3)))))) & 40.51/7.14 (Y2 @ Y1))))))) @ 40.51/7.14 Y0)))))))), 40.51/7.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl28])). 40.51/7.14 thf(zip_derived_cl31, plain, 40.51/7.14 (![X0 : $i > $o, X2 : $i > $o, X4 : $i]: 40.51/7.14 ( ((('#sk1' @ X0 @ X4) => ('#sk1' @ 40.51/7.14 (^[Y0 : $i]: 40.51/7.14 (((??) @ (^[Y1 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y2 : $i]: 40.51/7.14 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 40.51/7.14 (Y1 @ Y0))))))) @ 40.51/7.14 X4))) 40.51/7.14 | ~ (X2 @ ('#sk56' @ X0)) 40.51/7.14 | (X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))))), 40.51/7.14 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])). 40.51/7.14 thf(zip_derived_cl33, plain, 40.51/7.14 (![X0 : $i > $o, X2 : $i > $o, X4 : $i]: 40.51/7.14 (~ ('#sk1' @ X0 @ X4) 40.51/7.14 | ('#sk1' @ 40.51/7.14 (^[Y0 : $i]: 40.51/7.14 (((??) @ (^[Y1 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y2 : $i]: 40.51/7.14 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 40.51/7.14 (Y1 @ Y0))))))) @ 40.51/7.14 X4) 40.51/7.14 | (X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) 40.51/7.14 | ~ (X2 @ ('#sk56' @ X0)))), 40.51/7.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl31])). 40.51/7.14 thf(zip_derived_cl4, plain, 40.51/7.14 (~ (((!!) @ (^[Y0 : $i]: 40.51/7.14 ((('#sk1' @ 40.51/7.14 (^[Y1 : $i]: 40.51/7.14 (((??) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y2 @ Y3) => ('#sk1' @ 40.51/7.14 Y2 @ Y3)))))) & 40.51/7.14 (Y2 @ Y1))))))) @ 40.51/7.14 Y0) <=> 40.51/7.14 (((??) @ (^[Y1 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y2 : $i]: 40.51/7.14 (((Y1 @ Y2) => ('#sk1' @ Y1 @ 40.51/7.14 Y2)))))) & 40.51/7.14 (Y1 @ Y0)))))))))))), 40.51/7.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2])). 40.51/7.14 thf(zip_derived_cl6, plain, 40.51/7.14 (~ ((('#sk1' @ 40.51/7.14 (^[Y0 : $i]: 40.51/7.14 (((??) @ (^[Y1 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y2 : $i]: 40.51/7.14 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 40.51/7.14 (Y1 @ Y0))))))) @ 40.51/7.14 '#sk2') <=> 40.51/7.14 (((??) @ (^[Y0 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y1 : $i]: 40.51/7.14 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 40.51/7.14 (Y0 @ '#sk2'))))))))), 40.51/7.14 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])). 40.51/7.14 thf(zip_derived_cl8, plain, 40.51/7.14 ((('#sk1' @ 40.51/7.14 (^[Y0 : $i]: 40.51/7.14 (((??) @ (^[Y1 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y2 : $i]: 40.51/7.14 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 40.51/7.14 (Y1 @ Y0))))))) @ 40.51/7.14 '#sk2') 40.51/7.14 != (((??) @ (^[Y0 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y1 : $i]: 40.51/7.14 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 40.51/7.14 (Y0 @ '#sk2')))))))), 40.51/7.14 inference('simplify nested equalities', [status(thm)], [zip_derived_cl6])). 40.51/7.14 thf(zip_derived_cl4718, plain, 40.51/7.14 (![X1 : $i]: 40.51/7.14 (('#l_lift17654' @ X1) 40.51/7.14 = (((??) @ (^[Y0 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y1 : $i]: 40.51/7.14 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 40.51/7.14 (Y0 @ X1)))))))), 40.51/7.14 define([status(thm)])). 40.51/7.14 thf(zip_derived_cl4721, plain, 40.51/7.14 (![X0 : $i > $o, X2 : $i > $o, X4 : $i]: 40.51/7.14 (~ ('#sk1' @ X0 @ X4) 40.51/7.14 | ('#sk1' @ '#l_lift17654' @ X4) 40.51/7.14 | (X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) 40.51/7.14 | ~ (X2 @ ('#sk56' @ X0)))), 40.51/7.14 inference('lambda_lifting', [status(thm)], 40.51/7.14 [zip_derived_cl33, zip_derived_cl4718])). 40.51/7.14 thf(zip_derived_cl30, plain, 40.51/7.14 (![X0 : $i > $o, X2 : $i > $o]: 40.51/7.14 (~ ('#sk1' @ X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) 40.51/7.14 | ~ (X2 @ ('#sk56' @ X0)) 40.51/7.14 | (((!!) @ (^[Y0 : $i]: 40.51/7.14 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 40.51/7.14 (^[Y1 : $i]: 40.51/7.14 (((??) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y2 @ Y3) => 40.51/7.14 ('#sk1' @ Y2 @ Y3)))))) & 40.51/7.14 (Y2 @ Y1))))))) @ 40.51/7.14 Y0)))))))), 40.51/7.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl28])). 40.51/7.14 thf(zip_derived_cl32, plain, 40.51/7.14 (![X0 : $i > $o, X2 : $i > $o, X4 : $i]: 40.51/7.14 ( ((('#sk1' @ X0 @ X4) => ('#sk1' @ 40.51/7.14 (^[Y0 : $i]: 40.51/7.14 (((??) @ (^[Y1 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y2 : $i]: 40.51/7.14 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 40.51/7.14 (Y1 @ Y0))))))) @ 40.51/7.14 X4))) 40.51/7.14 | ~ (X2 @ ('#sk56' @ X0)) 40.51/7.14 | ~ ('#sk1' @ X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))))), 40.51/7.14 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl30])). 40.51/7.14 thf(zip_derived_cl34, plain, 40.51/7.14 (![X0 : $i > $o, X2 : $i > $o, X4 : $i]: 40.51/7.14 (~ ('#sk1' @ X0 @ X4) 40.51/7.14 | ('#sk1' @ 40.51/7.14 (^[Y0 : $i]: 40.51/7.14 (((??) @ (^[Y1 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y2 : $i]: 40.51/7.14 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 40.51/7.14 (Y1 @ Y0))))))) @ 40.51/7.14 X4) 40.51/7.14 | ~ ('#sk1' @ X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) 40.51/7.14 | ~ (X2 @ ('#sk56' @ X0)))), 40.51/7.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl32])). 40.51/7.14 thf(zip_derived_cl4718, plain, 40.51/7.14 (![X1 : $i]: 40.51/7.14 (('#l_lift17654' @ X1) 40.51/7.14 = (((??) @ (^[Y0 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y1 : $i]: 40.51/7.14 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 40.51/7.14 (Y0 @ X1)))))))), 40.51/7.14 define([status(thm)])). 40.51/7.14 thf(zip_derived_cl4722, plain, 40.51/7.14 (![X0 : $i > $o, X2 : $i > $o, X4 : $i]: 40.51/7.14 (~ ('#sk1' @ X0 @ X4) 40.51/7.14 | ('#sk1' @ '#l_lift17654' @ X4) 40.51/7.14 | ~ ('#sk1' @ X2 @ ('#sk13' @ X2 @ ('#sk1' @ X2))) 40.51/7.14 | ~ (X2 @ ('#sk56' @ X0)))), 40.51/7.14 inference('lambda_lifting', [status(thm)], 40.51/7.14 [zip_derived_cl34, zip_derived_cl4718])). 40.51/7.14 thf(zip_derived_cl11, plain, 40.51/7.14 (![X2 : $i > $o, X4 : $i > $o]: 40.51/7.14 ( (X2 @ ('#sk13' @ X2 @ X4)) 40.51/7.14 | (((!!) @ (^[Y0 : $i]: ((('#sk1' @ X2 @ Y0) => ('#sk1' @ X4 @ Y0)))))))), 40.51/7.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])). 40.51/7.14 thf(zip_derived_cl13, plain, 40.51/7.14 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 40.51/7.14 ( ((('#sk1' @ X2 @ X6) => ('#sk1' @ X4 @ X6))) 40.51/7.14 | (X2 @ ('#sk13' @ X2 @ X4)))), 40.51/7.14 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])). 40.51/7.14 thf(zip_derived_cl15, plain, 40.51/7.14 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 40.51/7.14 (~ ('#sk1' @ X2 @ X6) 40.51/7.14 | ('#sk1' @ X4 @ X6) 40.51/7.14 | (X2 @ ('#sk13' @ X2 @ X4)))), 40.51/7.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])). 40.51/7.14 thf(zip_derived_cl21, plain, 40.51/7.14 (![X0 : $i > $o]: 40.51/7.14 ( (X0 @ ('#sk56' @ X0)) 40.51/7.14 | (((!!) @ (^[Y0 : $i]: 40.51/7.14 ((('#sk1' @ X0 @ Y0) => ('#sk1' @ 40.51/7.14 (^[Y1 : $i]: 40.51/7.14 (((??) @ (^[Y2 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y3 : $i]: 40.51/7.14 (((Y2 @ Y3) => 40.51/7.14 ('#sk1' @ Y2 @ Y3)))))) & 40.51/7.14 (Y2 @ Y1))))))) @ 40.51/7.14 Y0)))))))), 40.51/7.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 40.51/7.14 thf(zip_derived_cl23, plain, 40.51/7.14 (![X0 : $i > $o, X2 : $i]: 40.51/7.14 ( ((('#sk1' @ X0 @ X2) => ('#sk1' @ 40.51/7.14 (^[Y0 : $i]: 40.51/7.14 (((??) @ (^[Y1 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y2 : $i]: 40.51/7.14 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 40.51/7.14 (Y1 @ Y0))))))) @ 40.51/7.14 X2))) 40.51/7.14 | (X0 @ ('#sk56' @ X0)))), 40.51/7.14 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl21])). 40.51/7.14 thf(zip_derived_cl26, plain, 40.51/7.14 (![X0 : $i > $o, X2 : $i]: 40.51/7.14 (~ ('#sk1' @ X0 @ X2) 40.51/7.14 | ('#sk1' @ 40.51/7.14 (^[Y0 : $i]: 40.51/7.14 (((??) @ (^[Y1 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y2 : $i]: 40.51/7.14 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 40.51/7.14 (Y1 @ Y0))))))) @ 40.51/7.14 X2) 40.51/7.14 | (X0 @ ('#sk56' @ X0)))), 40.51/7.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 40.51/7.14 thf(zip_derived_cl4718, plain, 40.51/7.14 (![X1 : $i]: 40.51/7.14 (('#l_lift17654' @ X1) 40.51/7.14 = (((??) @ (^[Y0 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y1 : $i]: 40.51/7.14 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 40.51/7.14 (Y0 @ X1)))))))), 40.51/7.14 define([status(thm)])). 40.51/7.14 thf(zip_derived_cl4720, plain, 40.51/7.14 (![X0 : $i > $o, X2 : $i]: 40.51/7.14 (~ ('#sk1' @ X0 @ X2) 40.51/7.14 | ('#sk1' @ '#l_lift17654' @ X2) 40.51/7.14 | (X0 @ ('#sk56' @ X0)))), 40.51/7.14 inference('lambda_lifting', [status(thm)], 40.51/7.14 [zip_derived_cl26, zip_derived_cl4718])). 40.51/7.14 thf(zip_derived_cl4718, plain, 40.51/7.14 (![X1 : $i]: 40.51/7.14 (('#l_lift17654' @ X1) 40.51/7.14 = (((??) @ (^[Y0 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y1 : $i]: 40.51/7.14 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 40.51/7.14 (Y0 @ X1)))))))), 40.51/7.14 define([status(thm)])). 40.51/7.14 thf(zip_derived_cl8, plain, 40.51/7.14 ((('#sk1' @ 40.51/7.14 (^[Y0 : $i]: 40.51/7.14 (((??) @ (^[Y1 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y2 : $i]: 40.51/7.14 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 40.51/7.14 (Y1 @ Y0))))))) @ 40.51/7.14 '#sk2') 40.51/7.14 != (((??) @ (^[Y0 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y1 : $i]: 40.51/7.14 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 40.51/7.14 (Y0 @ '#sk2')))))))), 40.51/7.14 inference('simplify nested equalities', [status(thm)], [zip_derived_cl6])). 40.51/7.14 thf(zip_derived_cl4718, plain, 40.51/7.14 (![X1 : $i]: 40.51/7.14 (('#l_lift17654' @ X1) 40.51/7.14 = (((??) @ (^[Y0 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y1 : $i]: 40.51/7.14 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 40.51/7.14 (Y0 @ X1)))))))), 40.51/7.14 define([status(thm)])). 40.51/7.14 thf(zip_derived_cl4719, plain, 40.51/7.14 ((('#sk1' @ '#l_lift17654' @ '#sk2') 40.51/7.14 != (((??) @ (^[Y0 : $i > $o]: 40.51/7.14 (((((!!) @ (^[Y1 : $i]: 40.51/7.14 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 40.51/7.14 (Y0 @ '#sk2')))))))), 40.51/7.14 inference('lambda_lifting', [status(thm)], 40.51/7.14 [zip_derived_cl8, zip_derived_cl4718])). 40.51/7.14 thf(zip_derived_cl4736, plain, ($false), 40.51/7.14 inference('eprover', [status(thm)], 40.51/7.14 [zip_derived_cl16, zip_derived_cl4721, zip_derived_cl4722, 40.51/7.14 zip_derived_cl15, zip_derived_cl4720, zip_derived_cl4718, 40.51/7.14 zip_derived_cl4719])). 40.51/7.14 40.51/7.14 % SZS output end Refutation 40.51/7.14 40.51/7.14 40.51/7.14 % Terminating... 40.94/7.28 % Runner terminated. 40.94/7.28 % Zipperpin 1.5 exiting 40.94/7.28 EOF