0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OiW254IUWx true 0.11/0.31 % Computer : n008.cluster.edu 0.11/0.31 % Model : x86_64 x86_64 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.31 % Memory : 8042.1875MB 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.31 % CPULimit : 1440 0.11/0.31 % WCLimit : 180 0.11/0.31 % DateTime : Thu Jul 4 07:17:54 EDT 2024 0.11/0.31 % CPUTime : 0.11/0.31 % Running portfolio for 1440 s 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.17/0.31 % Number of cores: 8 0.17/0.32 % Python version: Python 3.6.8 0.17/0.32 % Running in HO mode 0.49/0.62 % Total configuration time : 828 0.49/0.62 % Estimated wc time : 1656 0.49/0.62 % Estimated cpu time (8 cpus) : 207.0 0.49/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.49/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.49/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.49/0.70 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.49/0.70 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.51/0.70 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.51/0.71 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.51/0.71 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 237.34/30.54 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 318.04/40.80 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s 476.00/60.70 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s 556.49/70.89 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s 557.07/70.97 % /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s 633.45/80.66 % /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 80s 633.75/80.69 % /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 30s 633.75/80.74 % /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 16s 712.63/90.77 % /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 20s 712.75/90.78 % /export/starexec/sandbox/solver/bin/lams/8_add_var_l_av.sh running for 16s 759.30/96.74 % /export/starexec/sandbox/solver/bin/lams/8_new_sh_or.sh running for 16s 760.31/96.85 % /export/starexec/sandbox/solver/bin/lams/30_old_zip1.sh running for 36s 813.53/103.62 % Solved by lams/8_add_var_l_av.sh. 813.53/103.62 % done 376 iterations in 12.767s 813.53/103.62 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 813.53/103.62 % SZS output start Refutation 813.53/103.62 thf(a_type, type, a: $tType). 813.53/103.62 thf('#sk1_type', type, '#sk1': a > a > $o). 813.53/103.62 thf('#sk1824_type', type, '#sk1824': (a > a > $o) > a). 813.53/103.62 thf('#form1801_type', type, '#form1801': (a > a > $o) > $o). 813.53/103.62 thf('#sk1837_type', type, '#sk1837': (a > a > $o) > a). 813.53/103.62 thf('#sk1802_type', type, '#sk1802': (a > a > $o) > a). 813.53/103.62 thf('#sk1871_type', type, '#sk1871': (a > a > $o) > a). 813.53/103.62 thf('#sk1784_type', type, '#sk1784': (a > a > $o) > a > a > $o). 813.53/103.62 thf(cTHM599_pme, conjecture, 813.53/103.62 (![Xr:( a > a > $o )]: 813.53/103.62 ( ?[Xs:( a > a > $o )]: 813.53/103.62 ( ( ![Xt:( a > a > $o )]: 813.53/103.62 ( ( ( ![Xx:a]: ( Xt @ Xx @ Xx ) ) & 813.53/103.62 ( ![Xa:a,Xb:a]: ( ( Xr @ Xa @ Xb ) => ( Xt @ Xa @ Xb ) ) ) ) => 813.53/103.62 ( ![Xa:a,Xb:a]: ( ( Xs @ Xa @ Xb ) => ( Xt @ Xa @ Xb ) ) ) ) ) & 813.53/103.62 ( ![Xx:a]: ( Xs @ Xx @ Xx ) ) & 813.53/103.62 ( ![Xa:a,Xb:a]: ( ( Xr @ Xa @ Xb ) => ( Xs @ Xa @ Xb ) ) ) ) ))). 813.53/103.62 thf(zf_stmt_0, negated_conjecture, 813.53/103.62 (~( ![Xr:( a > a > $o )]: 813.53/103.62 ( ?[Xs:( a > a > $o )]: 813.53/103.62 ( ( ![Xt:( a > a > $o )]: 813.53/103.62 ( ( ( ![Xx:a]: ( Xt @ Xx @ Xx ) ) & 813.53/103.62 ( ![Xa:a,Xb:a]: ( ( Xr @ Xa @ Xb ) => ( Xt @ Xa @ Xb ) ) ) ) => 813.53/103.62 ( ![Xa:a,Xb:a]: ( ( Xs @ Xa @ Xb ) => ( Xt @ Xa @ Xb ) ) ) ) ) & 813.53/103.62 ( ![Xx:a]: ( Xs @ Xx @ Xx ) ) & 813.53/103.62 ( ![Xa:a,Xb:a]: ( ( Xr @ Xa @ Xb ) => ( Xs @ Xa @ Xb ) ) ) ) ) )), 813.53/103.62 inference('cnf.neg', [status(esa)], [cTHM599_pme])). 813.53/103.62 thf(zip_derived_cl0, plain, 813.53/103.62 (~ (((!!) @ (^[Y0 : a > a > $o]: 813.53/103.62 (((??) @ (^[Y1 : a > a > $o]: 813.53/103.62 (((((!!) @ (^[Y2 : a > a > $o]: 813.53/103.62 (((((((!!) @ (^[Y3 : a]: 813.53/103.62 (Y2 @ Y3 @ Y3)))) & 813.53/103.62 (((!!) @ (^[Y3 : a]: 813.53/103.62 (((!!) @ ( 813.53/103.62 ^[Y4 : a]: 813.53/103.62 (((Y0 @ 813.53/103.62 Y3 @ 813.53/103.62 Y4) => 813.53/103.62 (Y2 @ 813.53/103.62 Y3 @ Y4))))))))))) => 813.53/103.62 (((!!) @ (^[Y3 : a]: 813.53/103.62 (((!!) @ ( 813.53/103.62 ^[Y4 : a]: 813.53/103.62 (((Y1 @ Y3 @ 813.53/103.62 Y4) => 813.53/103.62 (Y2 @ Y3 @ 813.53/103.62 Y4)))))))))))))) & 813.53/103.62 (((!!) @ (^[Y2 : a]: (Y1 @ Y2 @ Y2)))) & 813.53/103.62 (((!!) @ (^[Y2 : a]: 813.53/103.62 (((!!) @ (^[Y3 : a]: 813.53/103.62 (((Y0 @ Y2 @ Y3) => 813.53/103.62 (Y1 @ Y2 @ Y3)))))))))))))))))), 813.53/103.62 inference('cnf', [status(esa)], [zf_stmt_0])). 813.53/103.62 thf(zip_derived_cl1, plain, 813.53/103.62 (~ (((??) @ (^[Y0 : a > a > $o]: 813.53/103.62 (((((!!) @ (^[Y1 : a > a > $o]: 813.53/103.62 (((((((!!) @ (^[Y2 : a]: (Y1 @ Y2 @ Y2)))) & 813.53/103.62 (((!!) @ (^[Y2 : a]: 813.53/103.62 (((!!) @ (^[Y3 : a]: 813.53/103.62 ((('#sk1' @ 813.53/103.62 Y2 @ Y3) => 813.53/103.62 (Y1 @ Y2 @ Y3))))))))))) => 813.53/103.62 (((!!) @ (^[Y2 : a]: 813.53/103.62 (((!!) @ (^[Y3 : a]: 813.53/103.62 (((Y0 @ Y2 @ 813.53/103.62 Y3) => (Y1 @ 813.53/103.62 Y2 @ Y3)))))))))))))) & 813.53/103.62 (((!!) @ (^[Y1 : a]: (Y0 @ Y1 @ Y1)))) & 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 (((!!) @ (^[Y2 : a]: 813.53/103.62 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 813.53/103.62 Y1 @ Y2))))))))))))))), 813.53/103.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 813.53/103.62 thf(zip_derived_cl2, plain, 813.53/103.62 (![X2 : a > a > $o]: 813.53/103.62 ~ (((((!!) @ (^[Y0 : a > a > $o]: 813.53/103.62 (((((((!!) @ (^[Y1 : a]: (Y0 @ Y1 @ Y1)))) & 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 (((!!) @ (^[Y2 : a]: 813.53/103.62 ((('#sk1' @ Y1 @ Y2) => 813.53/103.62 (Y0 @ Y1 @ Y2))))))))))) => 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 (((!!) @ (^[Y2 : a]: 813.53/103.62 (((X2 @ Y1 @ Y2) => (Y0 @ 813.53/103.62 Y1 @ Y2)))))))))))))) & 813.53/103.62 (((!!) @ (^[Y0 : a]: (X2 @ Y0 @ Y0)))) & 813.53/103.62 (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1)))))))))))), 813.53/103.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 813.53/103.62 thf(zip_derived_cl4, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 ~ (((((!!) @ (^[Y0 : a > a > $o]: 813.53/103.62 (((((((!!) @ (^[Y1 : a]: (Y0 @ Y1 @ Y1)))) & 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 (((!!) @ (^[Y2 : a]: 813.53/103.62 ((('#sk1' @ Y1 @ Y2) => 813.53/103.62 (Y0 @ Y1 @ Y2))))))))))) => 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 (((!!) @ (^[Y2 : a]: 813.53/103.62 (((((X0 @ Y1 @ Y2) | 813.53/103.62 (((Y1) = (Y2))))) => 813.53/103.62 (Y0 @ Y1 @ Y2)))))))))))))) & 813.53/103.62 (((!!) @ (^[Y0 : a]: (((X0 @ Y0 @ Y0) | (((Y0) = (Y0)))))))) & 813.53/103.62 (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 ((('#sk1' @ Y0 @ Y1) => 813.53/103.62 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1)))))))))))))))), 813.53/103.62 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl2])). 813.53/103.62 thf(zip_derived_cl135, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 ~ (((((!!) @ (^[Y0 : a > a > $o]: 813.53/103.62 (((((((!!) @ (^[Y1 : a]: (Y0 @ Y1 @ Y1)))) & 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 (((!!) @ (^[Y2 : a]: 813.53/103.62 ((('#sk1' @ Y1 @ Y2) => 813.53/103.62 (Y0 @ Y1 @ Y2))))))))))) => 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 (((!!) @ (^[Y2 : a]: 813.53/103.62 (((((X0 @ Y1 @ Y2) | 813.53/103.62 (((Y1) = (Y2))))) => 813.53/103.62 (Y0 @ Y1 @ Y2)))))))))))))) & 813.53/103.62 (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 ((('#sk1' @ Y0 @ Y1) => 813.53/103.62 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1)))))))))))))))), 813.53/103.62 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl4])). 813.53/103.62 thf(zip_derived_cl136, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 (~ (((!!) @ (^[Y0 : a > a > $o]: 813.53/103.62 (((((((!!) @ (^[Y1 : a]: (Y0 @ Y1 @ Y1)))) & 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 (((!!) @ (^[Y2 : a]: 813.53/103.62 ((('#sk1' @ Y1 @ Y2) => 813.53/103.62 (Y0 @ Y1 @ Y2))))))))))) => 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 (((!!) @ (^[Y2 : a]: 813.53/103.62 (((((X0 @ Y1 @ Y2) | 813.53/103.62 (((Y1) = (Y2))))) => 813.53/103.62 (Y0 @ Y1 @ Y2)))))))))))))) 813.53/103.62 | ~ (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 ((('#sk1' @ Y0 @ Y1) => 813.53/103.62 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))))))))))))), 813.53/103.62 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl135])). 813.53/103.62 thf(zip_derived_cl137, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 (~ (((((((!!) @ (^[Y0 : a]: ('#sk1784' @ X0 @ Y0 @ Y0)))) & 813.53/103.62 (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 ((('#sk1' @ Y0 @ Y1) => ('#sk1784' @ 813.53/103.62 X0 @ Y0 @ Y1))))))))))) => 813.53/103.62 (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 (((((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))) => 813.53/103.62 ('#sk1784' @ X0 @ Y0 @ Y1))))))))))) 813.53/103.62 | ~ (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 ((('#sk1' @ Y0 @ Y1) => 813.53/103.62 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))))))))))))), 813.53/103.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl136])). 813.53/103.62 thf(zip_derived_cl138, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 ( (((((!!) @ (^[Y0 : a]: ('#sk1784' @ X0 @ Y0 @ Y0)))) & 813.53/103.62 (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 ((('#sk1' @ Y0 @ Y1) => ('#sk1784' @ X0 @ 813.53/103.62 Y0 @ Y1))))))))))) 813.53/103.62 | ~ (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 ((('#sk1' @ Y0 @ Y1) => 813.53/103.62 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))))))))))))), 813.53/103.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl137])). 813.53/103.62 thf(zip_derived_cl138, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 ( (((((!!) @ (^[Y0 : a]: ('#sk1784' @ X0 @ Y0 @ Y0)))) & 813.53/103.62 (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 ((('#sk1' @ Y0 @ Y1) => ('#sk1784' @ X0 @ 813.53/103.62 Y0 @ Y1))))))))))) 813.53/103.62 | ~ (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 ((('#sk1' @ Y0 @ Y1) => 813.53/103.62 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))))))))))))), 813.53/103.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl137])). 813.53/103.62 thf(zip_derived_cl140, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 ( ('#form1801' @ X0) 813.53/103.62 | ~ (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 ((('#sk1' @ Y0 @ Y1) => 813.53/103.62 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))))))))))))), 813.53/103.62 define([status(thm)])). 813.53/103.62 thf(zip_derived_cl142, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 (~ ('#form1801' @ X0) 813.53/103.62 | (((((!!) @ (^[Y0 : a]: ('#sk1784' @ X0 @ Y0 @ Y0)))) & 813.53/103.62 (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 ((('#sk1' @ Y0 @ Y1) => ('#sk1784' @ 813.53/103.62 X0 @ Y0 @ Y1))))))))))))), 813.53/103.62 inference('renaming', [status(thm)], 813.53/103.62 [zip_derived_cl138, zip_derived_cl140])). 813.53/103.62 thf(zip_derived_cl144, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 ( (((!!) @ (^[Y0 : a]: ('#sk1784' @ X0 @ Y0 @ Y0)))) 813.53/103.62 | ~ ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl142])). 813.53/103.62 thf(zip_derived_cl149, plain, 813.53/103.62 (![X0 : a > a > $o, X2 : a]: 813.53/103.62 ( ('#sk1784' @ X0 @ X2 @ X2) | ~ ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl144])). 813.53/103.62 thf(zip_derived_cl139, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 (~ (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 (((((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))) => 813.53/103.62 ('#sk1784' @ X0 @ Y0 @ Y1))))))))) 813.53/103.62 | ~ (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 ((('#sk1' @ Y0 @ Y1) => 813.53/103.62 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))))))))))))), 813.53/103.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl137])). 813.53/103.62 thf(zip_derived_cl140, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 ( ('#form1801' @ X0) 813.53/103.62 | ~ (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 ((('#sk1' @ Y0 @ Y1) => 813.53/103.62 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))))))))))))), 813.53/103.62 define([status(thm)])). 813.53/103.62 thf(zip_derived_cl143, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 (~ ('#form1801' @ (^[Y0 : a,Y1 : a]: (X0 @ Y0 @ Y1))) 813.53/103.62 | ~ (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 (((((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))) => 813.53/103.62 ('#sk1784' @ X0 @ Y0 @ Y1))))))))))), 813.53/103.62 inference('renaming', [status(thm)], 813.53/103.62 [zip_derived_cl139, zip_derived_cl140])). 813.53/103.62 thf(zip_derived_cl147, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 (~ ('#form1801' @ X0) 813.53/103.62 | ~ (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 (((((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))) => 813.53/103.62 ('#sk1784' @ X0 @ Y0 @ Y1))))))))))), 813.53/103.62 inference('ho_norm', [status(thm)], [zip_derived_cl143])). 813.53/103.62 thf(zip_derived_cl148, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 (~ (((!!) @ (^[Y0 : a]: 813.53/103.62 (((((X0 @ ('#sk1837' @ X0) @ Y0) | 813.53/103.62 ((('#sk1837' @ X0) = (Y0))))) => 813.53/103.62 ('#sk1784' @ X0 @ ('#sk1837' @ X0) @ Y0)))))) 813.53/103.62 | ~ ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl147])). 813.53/103.62 thf(zip_derived_cl153, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 (~ (((((X0 @ ('#sk1837' @ X0) @ ('#sk1871' @ X0)) | 813.53/103.62 ((('#sk1837' @ X0) = ('#sk1871' @ X0))))) => 813.53/103.62 ('#sk1784' @ X0 @ ('#sk1837' @ X0) @ ('#sk1871' @ X0)))) 813.53/103.62 | ~ ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl148])). 813.53/103.62 thf(zip_derived_cl157, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 ( (((X0 @ ('#sk1837' @ X0) @ ('#sk1871' @ X0)) | 813.53/103.62 ((('#sk1837' @ X0) = ('#sk1871' @ X0))))) 813.53/103.62 | ~ ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl153])). 813.53/103.62 thf(zip_derived_cl161, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 ( (X0 @ ('#sk1837' @ X0) @ ('#sk1871' @ X0)) 813.53/103.62 | ((('#sk1837' @ X0) = ('#sk1871' @ X0))) 813.53/103.62 | ~ ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl157])). 813.53/103.62 thf(zip_derived_cl162, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 ( (X0 @ ('#sk1837' @ X0) @ ('#sk1871' @ X0)) 813.53/103.62 | (('#sk1837' @ X0) = ('#sk1871' @ X0)) 813.53/103.62 | ~ ('#form1801' @ X0))), 813.53/103.62 inference('simplify nested equalities', [status(thm)], 813.53/103.62 [zip_derived_cl161])). 813.53/103.62 thf(zip_derived_cl145, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 ( (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 ((('#sk1' @ Y0 @ Y1) => ('#sk1784' @ X0 @ 813.53/103.62 Y0 @ Y1))))))))) 813.53/103.62 | ~ ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl142])). 813.53/103.62 thf(zip_derived_cl150, plain, 813.53/103.62 (![X0 : a > a > $o, X2 : a]: 813.53/103.62 ( (((!!) @ (^[Y0 : a]: 813.53/103.62 ((('#sk1' @ X2 @ Y0) => ('#sk1784' @ X0 @ X2 @ Y0)))))) 813.53/103.62 | ~ ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl145])). 813.53/103.62 thf(zip_derived_cl154, plain, 813.53/103.62 (![X0 : a > a > $o, X2 : a, X4 : a]: 813.53/103.62 ( ((('#sk1' @ X2 @ X4) => ('#sk1784' @ X0 @ X2 @ X4))) 813.53/103.62 | ~ ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl150])). 813.53/103.62 thf(zip_derived_cl159, plain, 813.53/103.62 (![X0 : a > a > $o, X2 : a, X4 : a]: 813.53/103.62 (~ ('#sk1' @ X2 @ X4) 813.53/103.62 | ('#sk1784' @ X0 @ X2 @ X4) 813.53/103.62 | ~ ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl154])). 813.53/103.62 thf(zip_derived_cl158, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 (~ ('#sk1784' @ X0 @ ('#sk1837' @ X0) @ ('#sk1871' @ X0)) 813.53/103.62 | ~ ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl153])). 813.53/103.62 thf(zip_derived_cl365, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 (~ ('#form1801' @ X0) 813.53/103.62 | ~ ('#sk1' @ ('#sk1837' @ X0) @ ('#sk1871' @ X0)) 813.53/103.62 | ~ ('#form1801' @ X0))), 813.53/103.62 inference('sup-', [status(thm)], [zip_derived_cl159, zip_derived_cl158])). 813.53/103.62 thf(zip_derived_cl385, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 (~ ('#sk1' @ ('#sk1837' @ X0) @ ('#sk1871' @ X0)) 813.53/103.62 | ~ ('#form1801' @ X0))), 813.53/103.62 inference('simplify', [status(thm)], [zip_derived_cl365])). 813.53/103.62 thf(zip_derived_cl1908, plain, 813.53/103.62 ((~ ('#form1801' @ '#sk1') 813.53/103.62 | (('#sk1837' @ '#sk1') = ('#sk1871' @ '#sk1')) 813.53/103.62 | ~ ('#form1801' @ '#sk1'))), 813.53/103.62 inference('sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl385])). 813.53/103.62 thf(zip_derived_cl140, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 ( ('#form1801' @ X0) 813.53/103.62 | ~ (((!!) @ (^[Y0 : a]: 813.53/103.62 (((!!) @ (^[Y1 : a]: 813.53/103.62 ((('#sk1' @ Y0 @ Y1) => 813.53/103.62 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))))))))))))), 813.53/103.62 define([status(thm)])). 813.53/103.62 thf(zip_derived_cl141, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 (~ (((!!) @ (^[Y0 : a]: 813.53/103.62 ((('#sk1' @ ('#sk1802' @ X0) @ Y0) => 813.53/103.62 (((X0 @ ('#sk1802' @ X0) @ Y0) | 813.53/103.62 ((('#sk1802' @ X0) = (Y0)))))))))) 813.53/103.62 | ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl140])). 813.53/103.62 thf(zip_derived_cl146, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 (~ ((('#sk1' @ ('#sk1802' @ X0) @ ('#sk1824' @ X0)) => 813.53/103.62 (((X0 @ ('#sk1802' @ X0) @ ('#sk1824' @ X0)) | 813.53/103.62 ((('#sk1802' @ X0) = ('#sk1824' @ X0))))))) 813.53/103.62 | ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl141])). 813.53/103.62 thf(zip_derived_cl152, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 (~ (((X0 @ ('#sk1802' @ X0) @ ('#sk1824' @ X0)) | 813.53/103.62 ((('#sk1802' @ X0) = ('#sk1824' @ X0))))) 813.53/103.62 | ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl146])). 813.53/103.62 thf(zip_derived_cl155, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 (~ (X0 @ ('#sk1802' @ X0) @ ('#sk1824' @ X0)) | ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl152])). 813.53/103.62 thf(zip_derived_cl151, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 ( ('#sk1' @ ('#sk1802' @ X0) @ ('#sk1824' @ X0)) | ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl146])). 813.53/103.62 thf(zip_derived_cl429, plain, 813.53/103.62 (( ('#form1801' @ '#sk1') | ('#form1801' @ '#sk1'))), 813.53/103.62 inference('sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl151])). 813.53/103.62 thf(zip_derived_cl431, plain, ( ('#form1801' @ '#sk1')), 813.53/103.62 inference('simplify', [status(thm)], [zip_derived_cl429])). 813.53/103.62 thf(zip_derived_cl431, plain, ( ('#form1801' @ '#sk1')), 813.53/103.62 inference('simplify', [status(thm)], [zip_derived_cl429])). 813.53/103.62 thf(zip_derived_cl1942, plain, 813.53/103.62 ((('#sk1837' @ '#sk1') = ('#sk1871' @ '#sk1'))), 813.53/103.62 inference('demod', [status(thm)], 813.53/103.62 [zip_derived_cl1908, zip_derived_cl431, zip_derived_cl431])). 813.53/103.62 thf(zip_derived_cl158, plain, 813.53/103.62 (![X0 : a > a > $o]: 813.53/103.62 (~ ('#sk1784' @ X0 @ ('#sk1837' @ X0) @ ('#sk1871' @ X0)) 813.53/103.62 | ~ ('#form1801' @ X0))), 813.53/103.62 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl153])). 813.53/103.62 thf(zip_derived_cl1950, plain, 813.53/103.62 ((~ ('#sk1784' @ '#sk1' @ ('#sk1871' @ '#sk1') @ ('#sk1871' @ '#sk1')) 813.53/103.62 | ~ ('#form1801' @ '#sk1'))), 813.53/103.62 inference('sup-', [status(thm)], [zip_derived_cl1942, zip_derived_cl158])). 813.53/103.62 thf(zip_derived_cl431, plain, ( ('#form1801' @ '#sk1')), 813.53/103.62 inference('simplify', [status(thm)], [zip_derived_cl429])). 813.53/103.62 thf(zip_derived_cl1964, plain, 813.53/103.62 (~ ('#sk1784' @ '#sk1' @ ('#sk1871' @ '#sk1') @ ('#sk1871' @ '#sk1'))), 813.53/103.62 inference('demod', [status(thm)], [zip_derived_cl1950, zip_derived_cl431])). 813.53/103.62 thf(zip_derived_cl2139, plain, (~ ('#form1801' @ '#sk1')), 813.53/103.62 inference('sup-', [status(thm)], [zip_derived_cl149, zip_derived_cl1964])). 813.53/103.62 thf(zip_derived_cl431, plain, ( ('#form1801' @ '#sk1')), 813.53/103.62 inference('simplify', [status(thm)], [zip_derived_cl429])). 813.53/103.62 thf(zip_derived_cl2146, plain, ($false), 813.53/103.62 inference('demod', [status(thm)], [zip_derived_cl2139, zip_derived_cl431])). 813.53/103.62 813.53/103.62 % SZS output end Refutation 813.53/103.62 813.53/103.62 813.53/103.62 % Terminating... 814.49/103.78 % Runner terminated. 814.49/103.80 % Zipperpin 1.5 exiting 814.49/103.81 EOF