0.05/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PEwmJUv6PY true 0.10/0.32 % Computer : n020.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 07:13:05 EDT 2022 0.10/0.32 % CPUTime : 0.10/0.32 % Running portfolio for 960 s 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.10/0.32 % Number of cores: 8 0.10/0.33 % Python version: Python 3.6.8 0.10/0.33 % Running in HO mode 0.45/0.62 % Total configuration time : 828 0.45/0.62 % Estimated wc time : 1656 0.45/0.62 % Estimated cpu time (8 cpus) : 207.0 0.47/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.47/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.47/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.47/0.70 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.48/0.82 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.48/0.82 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.48/0.83 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.48/0.84 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 7.96/1.80 % Solved by lams/35_full_unif4.sh. 7.96/1.80 % done 129 iterations in 1.029s 7.96/1.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 7.96/1.80 % SZS output start Refutation 7.96/1.80 thf(a_type, type, a: $tType). 7.96/1.80 thf('#sk1_type', type, '#sk1': (a > $o) > $o). 7.96/1.80 thf('#sk11_type', type, '#sk11': (a > $o) > a). 7.96/1.80 thf('#sk24_type', type, '#sk24': (a > a > $o) > a > $o). 7.96/1.80 thf('#sk8_type', type, '#sk8': a > a > $o). 7.96/1.80 thf('#sk113_type', type, '#sk113': (a > a > $o) > a). 7.96/1.80 thf(cTHM262_NEW_pme, conjecture, 7.96/1.80 (![P:( ( a > $o ) > $o )]: 7.96/1.80 ( ( ( ![Xp:( a > $o )]: ( ( P @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) & 7.96/1.80 ( ![Xx:a]: 7.96/1.80 ( ?[Xp:( a > $o )]: 7.96/1.80 ( ( ![Xq:( a > $o )]: 7.96/1.80 ( ( ( P @ Xq ) & ( Xq @ Xx ) ) => ( ( Xq ) = ( Xp ) ) ) ) & 7.96/1.80 ( Xp @ Xx ) & ( P @ Xp ) ) ) ) ) => 7.96/1.80 ( ?[Q:( a > a > $o )]: 7.96/1.80 ( ( ^[Xs:( a > $o )]: 7.96/1.80 ( ?[Xz:a]: ( ( Xs ) = ( ^[Xx:a]: ( Q @ Xx @ Xz ) ) ) ) ) = 7.96/1.80 ( P ) ) ) ))). 7.96/1.80 thf(zf_stmt_0, negated_conjecture, 7.96/1.80 (~( ![P:( ( a > $o ) > $o )]: 7.96/1.80 ( ( ( ![Xp:( a > $o )]: ( ( P @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) & 7.96/1.80 ( ![Xx:a]: 7.96/1.80 ( ?[Xp:( a > $o )]: 7.96/1.80 ( ( ![Xq:( a > $o )]: 7.96/1.80 ( ( ( P @ Xq ) & ( Xq @ Xx ) ) => ( ( Xq ) = ( Xp ) ) ) ) & 7.96/1.80 ( Xp @ Xx ) & ( P @ Xp ) ) ) ) ) => 7.96/1.80 ( ?[Q:( a > a > $o )]: 7.96/1.80 ( ( ^[Xs:( a > $o )]: 7.96/1.80 ( ?[Xz:a]: ( ( Xs ) = ( ^[Xx:a]: ( Q @ Xx @ Xz ) ) ) ) ) = 7.96/1.80 ( P ) ) ) ) )), 7.96/1.80 inference('cnf.neg', [status(esa)], [cTHM262_NEW_pme])). 7.96/1.80 thf(zip_derived_cl0, plain, 7.96/1.80 (~ (((!!) @ (^[Y0 : (a > $o) > $o]: 7.96/1.80 (((((((!!) @ (^[Y1 : a > $o]: 7.96/1.80 (((Y0 @ Y1) => 7.96/1.80 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))) & 7.96/1.80 (((!!) @ (^[Y1 : a]: 7.96/1.80 (((??) @ (^[Y2 : a > $o]: 7.96/1.80 (((((!!) @ (^[Y3 : a > $o]: 7.96/1.80 (((((Y0 @ Y3) & 7.96/1.80 (Y3 @ Y1))) => 7.96/1.80 (((Y3) = (Y2)))))))) & 7.96/1.80 (Y2 @ Y1) & (Y0 @ Y2))))))))))) => 7.96/1.80 (((??) @ (^[Y1 : a > a > $o]: 7.96/1.80 ((((^[Y2 : a > $o]: 7.96/1.80 (((??) @ (^[Y3 : a]: 7.96/1.80 (((Y2) = 7.96/1.80 ((^[Y4 : a]: 7.96/1.80 (Y1 @ Y4 @ Y3)))))))))) = 7.96/1.80 (Y0)))))))))))), 7.96/1.80 inference('cnf', [status(esa)], [zf_stmt_0])). 7.96/1.80 thf(zip_derived_cl1, plain, 7.96/1.80 (~ (((((((!!) @ (^[Y0 : a > $o]: 7.96/1.80 ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) & 7.96/1.80 (((!!) @ (^[Y0 : a]: 7.96/1.80 (((??) @ (^[Y1 : a > $o]: 7.96/1.80 (((((!!) @ (^[Y2 : a > $o]: 7.96/1.80 ((((('#sk1' @ Y2) & (Y2 @ 7.96/1.80 Y0))) => 7.96/1.80 (((Y2) = (Y1)))))))) & 7.96/1.80 (Y1 @ Y0) & ('#sk1' @ Y1))))))))))) => 7.96/1.80 (((??) @ (^[Y0 : a > a > $o]: 7.96/1.80 ((((^[Y1 : a > $o]: 7.96/1.80 (((??) @ (^[Y2 : a]: 7.96/1.80 (((Y1) = ((^[Y3 : a]: (Y0 @ Y3 @ Y2)))))))))) = 7.96/1.80 ('#sk1'))))))))), 7.96/1.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 7.96/1.80 thf(zip_derived_cl2, plain, 7.96/1.80 ( (((((!!) @ (^[Y0 : a > $o]: 7.96/1.80 ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) & 7.96/1.80 (((!!) @ (^[Y0 : a]: 7.96/1.80 (((??) @ (^[Y1 : a > $o]: 7.96/1.80 (((((!!) @ (^[Y2 : a > $o]: 7.96/1.80 ((((('#sk1' @ Y2) & (Y2 @ Y0))) => 7.96/1.80 (((Y2) = (Y1)))))))) & 7.96/1.80 (Y1 @ Y0) & ('#sk1' @ Y1)))))))))))), 7.96/1.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 7.96/1.80 thf(zip_derived_cl5, plain, 7.96/1.80 ( (((!!) @ (^[Y0 : a]: 7.96/1.80 (((??) @ (^[Y1 : a > $o]: 7.96/1.80 (((((!!) @ (^[Y2 : a > $o]: 7.96/1.80 ((((('#sk1' @ Y2) & (Y2 @ Y0))) => 7.96/1.80 (((Y2) = (Y1)))))))) & 7.96/1.80 (Y1 @ Y0) & ('#sk1' @ Y1)))))))))), 7.96/1.80 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2])). 7.96/1.80 thf(zip_derived_cl8, plain, 7.96/1.80 (![X2 : a]: 7.96/1.80 (((??) @ (^[Y0 : a > $o]: 7.96/1.80 (((((!!) @ (^[Y1 : a > $o]: 7.96/1.80 ((((('#sk1' @ Y1) & (Y1 @ X2))) => 7.96/1.80 (((Y1) = (Y0)))))))) & 7.96/1.80 (Y0 @ X2) & ('#sk1' @ Y0))))))), 7.96/1.80 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 7.96/1.80 thf(zip_derived_cl12, plain, 7.96/1.80 (![X2 : a]: 7.96/1.80 (((((!!) @ (^[Y0 : a > $o]: 7.96/1.80 ((((('#sk1' @ Y0) & (Y0 @ X2))) => 7.96/1.80 (((Y0) = ('#sk8' @ X2)))))))) & 7.96/1.80 ('#sk8' @ X2 @ X2) & ('#sk1' @ ('#sk8' @ X2))))), 7.96/1.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])). 7.96/1.80 thf(zip_derived_cl14, plain, 7.96/1.80 (![X2 : a]: 7.96/1.80 (((!!) @ (^[Y0 : a > $o]: 7.96/1.80 ((((('#sk1' @ Y0) & (Y0 @ X2))) => 7.96/1.80 (((Y0) = ('#sk8' @ X2))))))))), 7.96/1.80 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl12])). 7.96/1.80 thf(zip_derived_cl17, plain, 7.96/1.80 (![X2 : a, X4 : a > $o]: 7.96/1.80 ((((('#sk1' @ X4) & (X4 @ X2))) => (((X4) = ('#sk8' @ X2)))))), 7.96/1.80 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 7.96/1.80 thf(zip_derived_cl18, plain, 7.96/1.80 (![X0 : a, X1 : a]: 7.96/1.80 ((((('#sk1' @ ('#sk8' @ X1)) & ('#sk8' @ X1 @ X0))) => 7.96/1.80 ((('#sk8' @ X1) = ('#sk8' @ X0)))))), 7.96/1.80 inference('triggered_bool_instantiation', [status(thm)], 7.96/1.80 [zip_derived_cl17])). 7.96/1.80 thf(zip_derived_cl16, plain, (![X2 : a]: ('#sk1' @ ('#sk8' @ X2))), 7.96/1.80 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl12])). 7.96/1.80 thf(zip_derived_cl40, plain, 7.96/1.80 (![X0 : a, X1 : a]: 7.96/1.80 ((((($true) & ('#sk8' @ X1 @ X0))) => 7.96/1.80 ((('#sk8' @ X1) = ('#sk8' @ X0)))))), 7.96/1.80 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl16])). 7.96/1.80 thf(zip_derived_cl41, plain, 7.96/1.80 (![X0 : a, X1 : a]: 7.96/1.80 ((('#sk8' @ X1 @ X0) => ((('#sk8' @ X1) = ('#sk8' @ X0)))))), 7.96/1.80 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl40])). 7.96/1.80 thf(zip_derived_cl42, plain, 7.96/1.80 (![X0 : a, X1 : a]: 7.96/1.80 (~ ('#sk8' @ X1 @ X0) | ((('#sk8' @ X1) = ('#sk8' @ X0))))), 7.96/1.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])). 7.96/1.80 thf(zip_derived_cl43, plain, 7.96/1.80 (![X0 : a, X1 : a]: 7.96/1.80 (~ ('#sk8' @ X1 @ X0) | (('#sk8' @ X1) = ('#sk8' @ X0)))), 7.96/1.80 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])). 7.96/1.80 thf(zip_derived_cl4, plain, 7.96/1.80 ( (((!!) @ (^[Y0 : a > $o]: 7.96/1.80 ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))))), 7.96/1.80 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2])). 7.96/1.80 thf(zip_derived_cl7, plain, 7.96/1.80 (![X2 : a > $o]: ((('#sk1' @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0))))))), 7.96/1.80 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 7.96/1.80 thf(zip_derived_cl11, plain, 7.96/1.80 (![X0 : a]: 7.96/1.80 ((('#sk1' @ ('#sk8' @ X0)) => 7.96/1.80 (((??) @ (^[Y0 : a]: ('#sk8' @ X0 @ Y0))))))), 7.96/1.80 inference('triggered_bool_instantiation', [status(thm)], 7.96/1.80 [zip_derived_cl7])). 7.96/1.80 thf(zip_derived_cl16, plain, (![X2 : a]: ('#sk1' @ ('#sk8' @ X2))), 7.96/1.80 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl12])). 7.96/1.80 thf(zip_derived_cl26, plain, 7.96/1.80 (![X0 : a]: ((($true) => (((??) @ (^[Y0 : a]: ('#sk8' @ X0 @ Y0))))))), 7.96/1.80 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl16])). 7.96/1.80 thf(zip_derived_cl27, plain, 7.96/1.80 (![X0 : a]: (((??) @ (^[Y0 : a]: ('#sk8' @ X0 @ Y0))))), 7.96/1.80 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl26])). 7.96/1.80 thf(zip_derived_cl28, plain, 7.96/1.80 (![X0 : a]: ('#sk8' @ X0 @ ('#sk11' @ ('#sk8' @ X0)))), 7.96/1.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl27])). 7.96/1.80 thf(zip_derived_cl44, plain, 7.96/1.80 (![X0 : a]: (('#sk8' @ X0) = ('#sk8' @ ('#sk11' @ ('#sk8' @ X0))))), 7.96/1.80 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl28])). 7.96/1.80 thf(zip_derived_cl3, plain, 7.96/1.80 (~ (((??) @ (^[Y0 : a > a > $o]: 7.96/1.80 ((((^[Y1 : a > $o]: 7.96/1.80 (((??) @ (^[Y2 : a]: 7.96/1.80 (((Y1) = ((^[Y3 : a]: (Y0 @ Y3 @ Y2)))))))))) = 7.96/1.80 ('#sk1'))))))), 7.96/1.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 7.96/1.80 thf(zip_derived_cl6, plain, 7.96/1.80 (![X2 : a > a > $o]: 7.96/1.80 ~ ((((^[Y0 : a > $o]: 7.96/1.80 (((??) @ (^[Y1 : a]: (((Y0) = ((^[Y2 : a]: (X2 @ Y2 @ Y1)))))))))) = 7.96/1.80 ('#sk1')))), 7.96/1.80 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 7.96/1.80 thf(zip_derived_cl9, plain, 7.96/1.80 (![X2 : a > a > $o]: 7.96/1.80 (((^[Y0 : a > $o]: 7.96/1.80 (((??) @ (^[Y1 : a]: (((Y0) = ((^[Y2 : a]: (X2 @ Y2 @ Y1)))))))))) 7.96/1.80 != ('#sk1'))), 7.96/1.80 inference('simplify nested equalities', [status(thm)], [zip_derived_cl6])). 7.96/1.80 thf(zip_derived_cl24, plain, 7.96/1.80 (![X2 : a > a > $o]: 7.96/1.80 ((((??) @ (^[Y0 : a]: 7.96/1.80 ((((^[Y1 : a]: ('#sk24' @ X2 @ Y1))) = 7.96/1.80 ((^[Y1 : a]: (X2 @ Y1 @ Y0)))))))) 7.96/1.80 != ('#sk1' @ (^[Y0 : a]: ('#sk24' @ X2 @ Y0))))), 7.96/1.80 inference('neg_ext', [status(thm)], [zip_derived_cl9])). 7.96/1.80 thf(zip_derived_cl25, plain, 7.96/1.80 (![X2 : a > a > $o]: 7.96/1.80 ((((??) @ (^[Y0 : a]: 7.96/1.80 ((('#sk24' @ X2) = ((^[Y1 : a]: (X2 @ Y1 @ Y0)))))))) 7.96/1.80 != ('#sk1' @ ('#sk24' @ X2)))), 7.96/1.80 inference('ho_norm', [status(thm)], [zip_derived_cl24])). 7.96/1.80 thf(zip_derived_cl95, plain, 7.96/1.80 (![X2 : a > a > $o]: 7.96/1.80 (((^[Y0 : a]: 7.96/1.80 ((((^[Y1 : a]: 7.96/1.80 ('#sk24' @ (^[Y2 : a,Y3 : a]: (X2 @ Y2 @ Y3)) @ Y1))) = 7.96/1.80 ((^[Y1 : a]: (X2 @ Y1 @ Y0)))))) @ 7.96/1.80 ('#sk113' @ X2)) != ('#sk1' @ ('#sk24' @ X2)))), 7.96/1.80 inference('quantifier_rw', [status(thm)], [zip_derived_cl25])). 7.96/1.80 thf(zip_derived_cl96, plain, 7.96/1.80 (![X2 : a > a > $o]: 7.96/1.80 (((('#sk24' @ X2) = ((^[Y0 : a]: (X2 @ Y0 @ ('#sk113' @ X2)))))) 7.96/1.80 != ('#sk1' @ ('#sk24' @ X2)))), 7.96/1.80 inference('ho_norm', [status(thm)], [zip_derived_cl95])). 7.96/1.80 thf(zip_derived_cl108, plain, 7.96/1.80 ((((('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: 7.96/1.80 ('#sk8' @ 7.96/1.80 ((^[Y2 : a,Y3 : a]: 7.96/1.80 ('#sk11' @ 7.96/1.80 ((^[Y4 : a,Y5 : a,Y6 : a]: 7.96/1.80 ('#sk8' @ 7.96/1.80 ((^[Y7 : a,Y8 : a,Y9 : a]: (Y8)) @ Y4 @ Y5 @ Y6) @ 7.96/1.80 ((^[Y7 : a,Y8 : a,Y9 : a]: (Y9)) @ Y4 @ Y5 @ Y6))) @ 7.96/1.80 Y2 @ Y3))) @ 7.96/1.80 Y0 @ Y1) @ 7.96/1.80 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1)))) = 7.96/1.80 ('#sk8' @ 7.96/1.80 ('#sk113' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: 7.96/1.80 ('#sk8' @ ('#sk11' @ (^[Y2 : a]: ('#sk8' @ Y1 @ Y2))) @ Y0)))))) 7.96/1.80 != ('#sk1' @ 7.96/1.80 ('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: 7.96/1.80 ('#sk8' @ 7.96/1.80 ((^[Y2 : a,Y3 : a]: 7.96/1.80 ('#sk11' @ 7.96/1.80 ((^[Y4 : a,Y5 : a,Y6 : a]: 7.96/1.80 ('#sk8' @ 7.96/1.80 ((^[Y7 : a,Y8 : a,Y9 : a]: (Y8)) @ Y4 @ Y5 @ Y6) @ 7.96/1.80 ((^[Y7 : a,Y8 : a,Y9 : a]: (Y9)) @ Y4 @ Y5 @ Y6))) @ 7.96/1.80 Y2 @ Y3))) @ 7.96/1.80 Y0 @ Y1) @ 7.96/1.80 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))))))), 7.96/1.80 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl96])). 7.96/1.80 thf(zip_derived_cl111, plain, 7.96/1.80 ((((('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0))) = 7.96/1.80 ('#sk8' @ 7.96/1.80 ('#sk113' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0)))))) 7.96/1.80 != ('#sk1' @ 7.96/1.80 ('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0)))))), 7.96/1.80 inference('ho_norm', [status(thm)], [zip_derived_cl108])). 7.96/1.80 thf(zip_derived_cl132, plain, 7.96/1.80 (((('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0))) 7.96/1.80 = ('#sk8' @ 7.96/1.80 ('#sk113' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0))))) 7.96/1.80 | ('#sk1' @ 7.96/1.80 ('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0)))))), 7.96/1.80 inference('eq_hoist', [status(thm)], [zip_derived_cl111])). 7.96/1.80 thf(zip_derived_cl16, plain, (![X2 : a]: ('#sk1' @ ('#sk8' @ X2))), 7.96/1.80 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl12])). 7.96/1.80 thf(zip_derived_cl143, plain, 7.96/1.80 (( ('#sk1' @ 7.96/1.80 ('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0)))) 7.96/1.80 | ('#sk1' @ 7.96/1.80 ('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0)))))), 7.96/1.80 inference('sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl16])). 7.96/1.80 thf(zip_derived_cl147, plain, 7.96/1.80 ( ('#sk1' @ 7.96/1.80 ('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0))))), 7.96/1.80 inference('simplify', [status(thm)], [zip_derived_cl143])). 7.96/1.80 thf(zip_derived_cl17, plain, 7.96/1.80 (![X2 : a, X4 : a > $o]: 7.96/1.80 ((((('#sk1' @ X4) & (X4 @ X2))) => (((X4) = ('#sk8' @ X2)))))), 7.96/1.80 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 7.96/1.80 thf(zip_derived_cl19, plain, 7.96/1.80 (![X2 : a, X4 : a > $o]: 7.96/1.80 (~ ((('#sk1' @ X4) & (X4 @ X2))) | (((X4) = ('#sk8' @ X2))))), 7.96/1.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl17])). 7.96/1.80 thf(zip_derived_cl20, plain, 7.96/1.80 (![X2 : a, X4 : a > $o]: 7.96/1.80 (~ ((('#sk1' @ X4) & (X4 @ X2))) | ((X4) = ('#sk8' @ X2)))), 7.96/1.80 inference('simplify nested equalities', [status(thm)], [zip_derived_cl19])). 7.96/1.80 thf(zip_derived_cl21, plain, 7.96/1.80 (![X2 : a, X4 : a > $o]: 7.96/1.80 (~ ('#sk1' @ X4) | ~ (X4 @ X2) | ((X4) = ('#sk8' @ X2)))), 7.96/1.80 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 7.96/1.80 thf(zip_derived_cl151, plain, 7.96/1.80 (![X0 : a]: 7.96/1.80 ((('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0))) 7.96/1.80 = ('#sk8' @ X0)) 7.96/1.80 | ~ ('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0)) @ 7.96/1.80 X0))), 7.96/1.80 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl21])). 7.96/1.80 thf(zip_derived_cl147, plain, 7.96/1.80 ( ('#sk1' @ 7.96/1.80 ('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0))))), 7.96/1.80 inference('simplify', [status(thm)], [zip_derived_cl143])). 7.96/1.80 thf(zip_derived_cl25, plain, 7.96/1.80 (![X2 : a > a > $o]: 7.96/1.80 ((((??) @ (^[Y0 : a]: 7.96/1.80 ((('#sk24' @ X2) = ((^[Y1 : a]: (X2 @ Y1 @ Y0)))))))) 7.96/1.80 != ('#sk1' @ ('#sk24' @ X2)))), 7.96/1.80 inference('ho_norm', [status(thm)], [zip_derived_cl24])). 7.96/1.80 thf(zip_derived_cl94, plain, 7.96/1.80 (![X-134 : a, X2 : a > a > $o]: 7.96/1.80 (~ ((^[Y0 : a]: ((('#sk24' @ X2) = ((^[Y1 : a]: (X2 @ Y1 @ Y0)))))) @ 7.96/1.80 X-134) 7.96/1.80 | ~ ('#sk1' @ ('#sk24' @ X2)))), 7.96/1.80 inference('exists_hoist', [status(thm)], [zip_derived_cl25])). 7.96/1.80 thf(zip_derived_cl97, plain, 7.96/1.80 (![X-134 : a, X2 : a > a > $o]: 7.96/1.80 (~ ((('#sk24' @ X2) = ((^[Y0 : a]: (X2 @ Y0 @ X-134))))) 7.96/1.80 | ~ ('#sk1' @ ('#sk24' @ X2)))), 7.96/1.80 inference('ho_norm', [status(thm)], [zip_derived_cl94])). 7.96/1.80 thf(zip_derived_cl98, plain, 7.96/1.80 (![X2 : a > a > $o, X3 : a]: 7.96/1.80 (~ ((('#sk24' @ X2) = ((^[Y0 : a]: (X2 @ Y0 @ X3))))) 7.96/1.80 | ~ ('#sk1' @ ('#sk24' @ X2)))), 7.96/1.80 inference('cannonize vars', [status(thm)], [zip_derived_cl97])). 7.96/1.80 thf(zip_derived_cl99, plain, 7.96/1.80 (![X2 : a > a > $o, X3 : a]: 7.96/1.80 ((('#sk24' @ X2) != ((^[Y0 : a]: (X2 @ Y0 @ X3)))) 7.96/1.80 | ~ ('#sk1' @ ('#sk24' @ X2)))), 7.96/1.80 inference('simplify nested equalities', [status(thm)], [zip_derived_cl98])). 7.96/1.80 thf(zip_derived_cl153, plain, 7.96/1.80 (![X0 : a]: 7.96/1.80 (('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0))) 7.96/1.80 != ((^[Y0 : a]: 7.96/1.80 ((^[Y1 : a,Y2 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y2)) @ Y1)) @ 7.96/1.80 Y0 @ X0))))), 7.96/1.80 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl99])). 7.96/1.80 thf(zip_derived_cl154, plain, 7.96/1.80 (![X0 : a]: 7.96/1.80 (('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0))) 7.96/1.80 != ('#sk8' @ ('#sk11' @ ('#sk8' @ X0))))), 7.96/1.80 inference('ho_norm', [status(thm)], [zip_derived_cl153])). 7.96/1.80 thf(zip_derived_cl44, plain, 7.96/1.80 (![X0 : a]: (('#sk8' @ X0) = ('#sk8' @ ('#sk11' @ ('#sk8' @ X0))))), 7.96/1.80 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl28])). 7.96/1.80 thf(zip_derived_cl155, plain, 7.96/1.80 (![X0 : a]: 7.96/1.80 (('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0))) 7.96/1.80 != ('#sk8' @ X0))), 7.96/1.80 inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl44])). 7.96/1.80 thf(zip_derived_cl608, plain, 7.96/1.80 (![X0 : a]: 7.96/1.80 ~ ('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0)) @ X0)), 7.96/1.80 inference('simplify_reflect-', [status(thm)], 7.96/1.80 [zip_derived_cl151, zip_derived_cl155])). 7.96/1.80 thf(zip_derived_cl147, plain, 7.96/1.80 ( ('#sk1' @ 7.96/1.80 ('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0))))), 7.96/1.80 inference('simplify', [status(thm)], [zip_derived_cl143])). 7.96/1.80 thf(zip_derived_cl7, plain, 7.96/1.80 (![X2 : a > $o]: ((('#sk1' @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0))))))), 7.96/1.80 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 7.96/1.80 thf(zip_derived_cl10, plain, 7.96/1.80 (![X2 : a > $o]: (~ ('#sk1' @ X2) | (((??) @ (^[Y0 : a]: (X2 @ Y0)))))), 7.96/1.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])). 7.96/1.80 thf(zip_derived_cl13, plain, 7.96/1.80 (![X2 : a > $o]: ( (X2 @ ('#sk11' @ X2)) | ~ ('#sk1' @ X2))), 7.96/1.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl10])). 7.96/1.80 thf(zip_derived_cl152, plain, 7.96/1.80 ( ('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0)) @ 7.96/1.80 ('#sk11' @ 7.96/1.80 ('#sk24' @ 7.96/1.80 (^[Y0 : a,Y1 : a]: ('#sk8' @ ('#sk11' @ ('#sk8' @ Y1)) @ Y0)))))), 7.96/1.80 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl13])). 7.96/1.80 thf(zip_derived_cl609, plain, ($false), 7.96/1.80 inference('sup+', [status(thm)], [zip_derived_cl608, zip_derived_cl152])). 7.96/1.80 7.96/1.80 % SZS output end Refutation 7.96/1.80 7.96/1.80 8.05/1.80 % Terminating... 8.73/2.04 % Runner terminated. 8.73/2.06 % Zipperpin 1.5 exiting 8.73/2.07 EOF