0.00/0.01 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.02 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jfSQ26dGK0 true 0.02/0.30 % Computer : n012.cluster.edu 0.02/0.30 % Model : x86_64 x86_64 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.02/0.30 % Memory : 8046.5625MB 0.02/0.30 % OS : Linux 6.8.0-71-generic 0.02/0.30 % CPULimit : 1440 0.02/0.30 % WCLimit : 180 0.02/0.30 % DateTime : Mon Jul 27 11:00:03 UTC 2026 0.02/0.30 % CPUTime : 0.02/0.30 % Running portfolio for 1440 s 0.02/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.02/0.30 % Number of cores: 8 0.02/0.30 % Python version: Python 3.12.3 0.02/0.30 % Running in HO mode 0.21/0.44 % Total configuration time : 828 0.21/0.44 % Estimated wc time : 1656 0.21/0.44 % Estimated cpu time (8 cpus) : 207.0 0.21/0.51 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.21/0.51 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.21/0.51 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.21/0.51 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.21/0.51 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.21/0.53 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.21/0.54 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.82/0.56 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 177.50/30.35 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 260.74/40.48 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 399.95/60.57 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s 437.56/70.58 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s 454.49/70.64 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s 533.24/80.52 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s 533.24/80.53 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s 533.24/80.54 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s 666.32/90.39 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s 667.61/90.53 % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 16s 738.60/94.20 % Solved by lams/8_add_var_l_av.sh. 738.60/94.20 % done 246 iterations in 3.642s 738.60/94.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 738.60/94.20 % SZS output start Refutation 738.60/94.20 thf(a_type, type, a: $tType). 738.60/94.20 thf('#sk1_type', type, '#sk1': a > a > $o). 738.60/94.20 thf('#sk1886_type', type, '#sk1886': (a > a > $o) > a). 738.60/94.20 thf('#sk1833_type', type, '#sk1833': (a > a > $o) > a > a > $o). 738.60/94.20 thf('#sk1873_type', type, '#sk1873': (a > a > $o) > a). 738.60/94.20 thf('#sk1920_type', type, '#sk1920': (a > a > $o) > a). 738.60/94.20 thf('#sk1851_type', type, '#sk1851': (a > a > $o) > a). 738.60/94.20 thf('#form1850_type', type, '#form1850': (a > a > $o) > $o). 738.60/94.20 thf(cTHM599_pme, conjecture, 738.60/94.20 (![Xr:( a > a > $o )]: 738.60/94.20 ( ?[Xs:( a > a > $o )]: 738.60/94.20 ( ( ![Xx:a]: ( Xs @ Xx @ Xx ) ) & 738.60/94.20 ( ![Xt:( a > a > $o )]: 738.60/94.20 ( ( ( ![Xa:a,Xb:a]: ( ( Xr @ Xa @ Xb ) => ( Xt @ Xa @ Xb ) ) ) & 738.60/94.20 ( ![Xx:a]: ( Xt @ Xx @ Xx ) ) ) => 738.60/94.20 ( ![Xa:a,Xb:a]: ( ( Xs @ Xa @ Xb ) => ( Xt @ Xa @ Xb ) ) ) ) ) & 738.60/94.20 ( ![Xa:a,Xb:a]: ( ( Xr @ Xa @ Xb ) => ( Xs @ Xa @ Xb ) ) ) ) ))). 738.60/94.20 thf(zf_stmt_0, negated_conjecture, 738.60/94.20 (~( ![Xr:( a > a > $o )]: 738.60/94.20 ( ?[Xs:( a > a > $o )]: 738.60/94.20 ( ( ![Xx:a]: ( Xs @ Xx @ Xx ) ) & 738.60/94.20 ( ![Xt:( a > a > $o )]: 738.60/94.20 ( ( ( ![Xa:a,Xb:a]: ( ( Xr @ Xa @ Xb ) => ( Xt @ Xa @ Xb ) ) ) & 738.60/94.20 ( ![Xx:a]: ( Xt @ Xx @ Xx ) ) ) => 738.60/94.20 ( ![Xa:a,Xb:a]: ( ( Xs @ Xa @ Xb ) => ( Xt @ Xa @ Xb ) ) ) ) ) & 738.60/94.20 ( ![Xa:a,Xb:a]: ( ( Xr @ Xa @ Xb ) => ( Xs @ Xa @ Xb ) ) ) ) ) )), 738.60/94.20 inference('cnf.neg', [status(esa)], [cTHM599_pme])). 738.60/94.20 thf(zip_derived_cl0, plain, 738.60/94.20 (~ (((!!) @ (^[Y0 : a > a > $o]: 738.60/94.20 (((??) @ (^[Y1 : a > a > $o]: 738.60/94.20 (((((!!) @ (^[Y2 : a]: (Y1 @ Y2 @ Y2)))) & 738.60/94.20 (((!!) @ (^[Y2 : a > a > $o]: 738.60/94.20 (((((((!!) @ (^[Y3 : a]: 738.60/94.20 (((!!) @ ( 738.60/94.20 ^[Y4 : a]: 738.60/94.20 (((Y0 @ 738.60/94.20 Y3 @ 738.60/94.20 Y4) => 738.60/94.20 (Y2 @ 738.60/94.20 Y3 @ Y4))))))))) & 738.60/94.20 (((!!) @ (^[Y3 : a]: 738.60/94.20 (Y2 @ Y3 @ Y3)))))) => 738.60/94.20 (((!!) @ (^[Y3 : a]: 738.60/94.20 (((!!) @ ( 738.60/94.20 ^[Y4 : a]: 738.60/94.20 (((Y1 @ Y3 @ 738.60/94.20 Y4) => 738.60/94.20 (Y2 @ Y3 @ 738.60/94.20 Y4)))))))))))))) & 738.60/94.20 (((!!) @ (^[Y2 : a]: 738.60/94.20 (((!!) @ (^[Y3 : a]: 738.60/94.20 (((Y0 @ Y2 @ Y3) => 738.60/94.20 (Y1 @ Y2 @ Y3)))))))))))))))))), 738.60/94.20 inference('cnf', [status(esa)], [zf_stmt_0])). 738.60/94.20 thf(zip_derived_cl1, plain, 738.60/94.20 (~ (((??) @ (^[Y0 : a > a > $o]: 738.60/94.20 (((((!!) @ (^[Y1 : a]: (Y0 @ Y1 @ Y1)))) & 738.60/94.20 (((!!) @ (^[Y1 : a > a > $o]: 738.60/94.20 (((((((!!) @ (^[Y2 : a]: 738.60/94.20 (((!!) @ (^[Y3 : a]: 738.60/94.20 ((('#sk1' @ 738.60/94.20 Y2 @ Y3) => 738.60/94.20 (Y1 @ Y2 @ Y3))))))))) & 738.60/94.20 (((!!) @ (^[Y2 : a]: (Y1 @ Y2 @ Y2)))))) => 738.60/94.20 (((!!) @ (^[Y2 : a]: 738.60/94.20 (((!!) @ (^[Y3 : a]: 738.60/94.20 (((Y0 @ Y2 @ 738.60/94.20 Y3) => (Y1 @ 738.60/94.20 Y2 @ Y3)))))))))))))) & 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 (((!!) @ (^[Y2 : a]: 738.60/94.20 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 738.60/94.20 Y1 @ Y2))))))))))))))), 738.60/94.20 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 738.60/94.20 thf(zip_derived_cl2, plain, 738.60/94.20 (![X2 : a > a > $o]: 738.60/94.20 ~ (((((!!) @ (^[Y0 : a]: (X2 @ Y0 @ Y0)))) & 738.60/94.20 (((!!) @ (^[Y0 : a > a > $o]: 738.60/94.20 (((((((!!) @ (^[Y1 : a]: 738.60/94.20 (((!!) @ (^[Y2 : a]: 738.60/94.20 ((('#sk1' @ Y1 @ Y2) => 738.60/94.20 (Y0 @ Y1 @ Y2))))))))) & 738.60/94.20 (((!!) @ (^[Y1 : a]: (Y0 @ Y1 @ Y1)))))) => 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 (((!!) @ (^[Y2 : a]: 738.60/94.20 (((X2 @ Y1 @ Y2) => (Y0 @ 738.60/94.20 Y1 @ Y2)))))))))))))) & 738.60/94.20 (((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1)))))))))))), 738.60/94.20 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 738.60/94.20 thf(zip_derived_cl4, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 ~ (((((!!) @ (^[Y0 : a]: (((X0 @ Y0 @ Y0) | (((Y0) = (Y0)))))))) & 738.60/94.20 (((!!) @ (^[Y0 : a > a > $o]: 738.60/94.20 (((((((!!) @ (^[Y1 : a]: 738.60/94.20 (((!!) @ (^[Y2 : a]: 738.60/94.20 ((('#sk1' @ Y1 @ Y2) => 738.60/94.20 (Y0 @ Y1 @ Y2))))))))) & 738.60/94.20 (((!!) @ (^[Y1 : a]: (Y0 @ Y1 @ Y1)))))) => 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 (((!!) @ (^[Y2 : a]: 738.60/94.20 (((((X0 @ Y1 @ Y2) | 738.60/94.20 (((Y1) = (Y2))))) => 738.60/94.20 (Y0 @ Y1 @ Y2)))))))))))))) & 738.60/94.20 (((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 ((('#sk1' @ Y0 @ Y1) => 738.60/94.20 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1)))))))))))))))), 738.60/94.20 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl2])). 738.60/94.20 thf(zip_derived_cl112, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 ~ (((((!!) @ (^[Y0 : a > a > $o]: 738.60/94.20 (((((((!!) @ (^[Y1 : a]: 738.60/94.20 (((!!) @ (^[Y2 : a]: 738.60/94.20 ((('#sk1' @ Y1 @ Y2) => 738.60/94.20 (Y0 @ Y1 @ Y2))))))))) & 738.60/94.20 (((!!) @ (^[Y1 : a]: (Y0 @ Y1 @ Y1)))))) => 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 (((!!) @ (^[Y2 : a]: 738.60/94.20 (((((X0 @ Y1 @ Y2) | 738.60/94.20 (((Y1) = (Y2))))) => 738.60/94.20 (Y0 @ Y1 @ Y2)))))))))))))) & 738.60/94.20 (((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 ((('#sk1' @ Y0 @ Y1) => 738.60/94.20 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1)))))))))))))))), 738.60/94.20 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl4])). 738.60/94.20 thf(zip_derived_cl113, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 (~ (((!!) @ (^[Y0 : a > a > $o]: 738.60/94.20 (((((((!!) @ (^[Y1 : a]: 738.60/94.20 (((!!) @ (^[Y2 : a]: 738.60/94.20 ((('#sk1' @ Y1 @ Y2) => 738.60/94.20 (Y0 @ Y1 @ Y2))))))))) & 738.60/94.20 (((!!) @ (^[Y1 : a]: (Y0 @ Y1 @ Y1)))))) => 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 (((!!) @ (^[Y2 : a]: 738.60/94.20 (((((X0 @ Y1 @ Y2) | 738.60/94.20 (((Y1) = (Y2))))) => 738.60/94.20 (Y0 @ Y1 @ Y2)))))))))))))) 738.60/94.20 | ~ (((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 ((('#sk1' @ Y0 @ Y1) => 738.60/94.20 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))))))))))))), 738.60/94.20 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl112])). 738.60/94.20 thf(zip_derived_cl114, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 (~ (((((((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 ((('#sk1' @ Y0 @ Y1) => ('#sk1833' @ 738.60/94.20 X0 @ Y0 @ Y1))))))))) & 738.60/94.20 (((!!) @ (^[Y0 : a]: ('#sk1833' @ X0 @ Y0 @ Y0)))))) => 738.60/94.20 (((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 (((((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))) => 738.60/94.20 ('#sk1833' @ X0 @ Y0 @ Y1))))))))))) 738.60/94.20 | ~ (((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 ((('#sk1' @ Y0 @ Y1) => 738.60/94.20 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))))))))))))), 738.60/94.20 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl113])). 738.60/94.20 thf(zip_derived_cl115, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 ( (((((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 ((('#sk1' @ Y0 @ Y1) => ('#sk1833' @ X0 @ 738.60/94.20 Y0 @ Y1))))))))) & 738.60/94.20 (((!!) @ (^[Y0 : a]: ('#sk1833' @ X0 @ Y0 @ Y0)))))) 738.60/94.20 | ~ (((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 ((('#sk1' @ Y0 @ Y1) => 738.60/94.20 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))))))))))))), 738.60/94.20 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl114])). 738.60/94.20 thf(zip_derived_cl115, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 ( (((((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 ((('#sk1' @ Y0 @ Y1) => ('#sk1833' @ X0 @ 738.60/94.20 Y0 @ Y1))))))))) & 738.60/94.20 (((!!) @ (^[Y0 : a]: ('#sk1833' @ X0 @ Y0 @ Y0)))))) 738.60/94.20 | ~ (((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 ((('#sk1' @ Y0 @ Y1) => 738.60/94.20 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))))))))))))), 738.60/94.20 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl114])). 738.60/94.20 thf(zip_derived_cl117, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 ( ('#form1850' @ X0) 738.60/94.20 | ~ (((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 ((('#sk1' @ Y0 @ Y1) => 738.60/94.20 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))))))))))))), 738.60/94.20 define([status(thm)])). 738.60/94.20 thf(zip_derived_cl119, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 (~ ('#form1850' @ X0) 738.60/94.20 | (((((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 ((('#sk1' @ Y0 @ Y1) => ('#sk1833' @ 738.60/94.20 X0 @ Y0 @ Y1))))))))) & 738.60/94.20 (((!!) @ (^[Y0 : a]: ('#sk1833' @ X0 @ Y0 @ Y0)))))))), 738.60/94.20 inference('renaming', [status(thm)], 738.60/94.20 [zip_derived_cl115, zip_derived_cl117])). 738.60/94.20 thf(zip_derived_cl122, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 ( (((!!) @ (^[Y0 : a]: ('#sk1833' @ X0 @ Y0 @ Y0)))) 738.60/94.20 | ~ ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl119])). 738.60/94.20 thf(zip_derived_cl127, plain, 738.60/94.20 (![X0 : a > a > $o, X2 : a]: 738.60/94.20 ( ('#sk1833' @ X0 @ X2 @ X2) | ~ ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl122])). 738.60/94.20 thf(zip_derived_cl116, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 (~ (((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 (((((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))) => 738.60/94.20 ('#sk1833' @ X0 @ Y0 @ Y1))))))))) 738.60/94.20 | ~ (((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 ((('#sk1' @ Y0 @ Y1) => 738.60/94.20 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))))))))))))), 738.60/94.20 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl114])). 738.60/94.20 thf(zip_derived_cl117, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 ( ('#form1850' @ X0) 738.60/94.20 | ~ (((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 ((('#sk1' @ Y0 @ Y1) => 738.60/94.20 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))))))))))))), 738.60/94.20 define([status(thm)])). 738.60/94.20 thf(zip_derived_cl120, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 (~ ('#form1850' @ (^[Y0 : a,Y1 : a]: (X0 @ Y0 @ Y1))) 738.60/94.20 | ~ (((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 (((((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))) => 738.60/94.20 ('#sk1833' @ X0 @ Y0 @ Y1))))))))))), 738.60/94.20 inference('renaming', [status(thm)], 738.60/94.20 [zip_derived_cl116, zip_derived_cl117])). 738.60/94.20 thf(zip_derived_cl124, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 (~ ('#form1850' @ X0) 738.60/94.20 | ~ (((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 (((((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))) => 738.60/94.20 ('#sk1833' @ X0 @ Y0 @ Y1))))))))))), 738.60/94.20 inference('ho_norm', [status(thm)], [zip_derived_cl120])). 738.60/94.20 thf(zip_derived_cl125, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 (~ (((!!) @ (^[Y0 : a]: 738.60/94.20 (((((X0 @ ('#sk1886' @ X0) @ Y0) | 738.60/94.20 ((('#sk1886' @ X0) = (Y0))))) => 738.60/94.20 ('#sk1833' @ X0 @ ('#sk1886' @ X0) @ Y0)))))) 738.60/94.20 | ~ ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl124])). 738.60/94.20 thf(zip_derived_cl130, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 (~ (((((X0 @ ('#sk1886' @ X0) @ ('#sk1920' @ X0)) | 738.60/94.20 ((('#sk1886' @ X0) = ('#sk1920' @ X0))))) => 738.60/94.20 ('#sk1833' @ X0 @ ('#sk1886' @ X0) @ ('#sk1920' @ X0)))) 738.60/94.20 | ~ ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl125])). 738.60/94.20 thf(zip_derived_cl134, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 ( (((X0 @ ('#sk1886' @ X0) @ ('#sk1920' @ X0)) | 738.60/94.20 ((('#sk1886' @ X0) = ('#sk1920' @ X0))))) 738.60/94.20 | ~ ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl130])). 738.60/94.20 thf(zip_derived_cl138, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 ( (X0 @ ('#sk1886' @ X0) @ ('#sk1920' @ X0)) 738.60/94.20 | ((('#sk1886' @ X0) = ('#sk1920' @ X0))) 738.60/94.20 | ~ ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl134])). 738.60/94.20 thf(zip_derived_cl139, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 ( (X0 @ ('#sk1886' @ X0) @ ('#sk1920' @ X0)) 738.60/94.20 | (('#sk1886' @ X0) = ('#sk1920' @ X0)) 738.60/94.20 | ~ ('#form1850' @ X0))), 738.60/94.20 inference('simplify nested equalities', [status(thm)], 738.60/94.20 [zip_derived_cl138])). 738.60/94.20 thf(zip_derived_cl121, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 ( (((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 ((('#sk1' @ Y0 @ Y1) => ('#sk1833' @ X0 @ 738.60/94.20 Y0 @ Y1))))))))) 738.60/94.20 | ~ ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl119])). 738.60/94.20 thf(zip_derived_cl126, plain, 738.60/94.20 (![X0 : a > a > $o, X2 : a]: 738.60/94.20 ( (((!!) @ (^[Y0 : a]: 738.60/94.20 ((('#sk1' @ X2 @ Y0) => ('#sk1833' @ X0 @ X2 @ Y0)))))) 738.60/94.20 | ~ ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl121])). 738.60/94.20 thf(zip_derived_cl131, plain, 738.60/94.20 (![X0 : a > a > $o, X2 : a, X4 : a]: 738.60/94.20 ( ((('#sk1' @ X2 @ X4) => ('#sk1833' @ X0 @ X2 @ X4))) 738.60/94.20 | ~ ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl126])). 738.60/94.20 thf(zip_derived_cl136, plain, 738.60/94.20 (![X0 : a > a > $o, X2 : a, X4 : a]: 738.60/94.20 (~ ('#sk1' @ X2 @ X4) 738.60/94.20 | ('#sk1833' @ X0 @ X2 @ X4) 738.60/94.20 | ~ ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl131])). 738.60/94.20 thf(zip_derived_cl135, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 (~ ('#sk1833' @ X0 @ ('#sk1886' @ X0) @ ('#sk1920' @ X0)) 738.60/94.20 | ~ ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl130])). 738.60/94.20 thf(zip_derived_cl523, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 (~ ('#form1850' @ X0) 738.60/94.20 | ~ ('#sk1' @ ('#sk1886' @ X0) @ ('#sk1920' @ X0)) 738.60/94.20 | ~ ('#form1850' @ X0))), 738.60/94.20 inference('sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl135])). 738.60/94.20 thf(zip_derived_cl551, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 (~ ('#sk1' @ ('#sk1886' @ X0) @ ('#sk1920' @ X0)) 738.60/94.20 | ~ ('#form1850' @ X0))), 738.60/94.20 inference('simplify', [status(thm)], [zip_derived_cl523])). 738.60/94.20 thf(zip_derived_cl1057, plain, 738.60/94.20 ((~ ('#form1850' @ '#sk1') 738.60/94.20 | (('#sk1886' @ '#sk1') = ('#sk1920' @ '#sk1')) 738.60/94.20 | ~ ('#form1850' @ '#sk1'))), 738.60/94.20 inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl551])). 738.60/94.20 thf(zip_derived_cl117, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 ( ('#form1850' @ X0) 738.60/94.20 | ~ (((!!) @ (^[Y0 : a]: 738.60/94.20 (((!!) @ (^[Y1 : a]: 738.60/94.20 ((('#sk1' @ Y0 @ Y1) => 738.60/94.20 (((X0 @ Y0 @ Y1) | (((Y0) = (Y1))))))))))))))), 738.60/94.20 define([status(thm)])). 738.60/94.20 thf(zip_derived_cl118, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 (~ (((!!) @ (^[Y0 : a]: 738.60/94.20 ((('#sk1' @ ('#sk1851' @ X0) @ Y0) => 738.60/94.20 (((X0 @ ('#sk1851' @ X0) @ Y0) | 738.60/94.20 ((('#sk1851' @ X0) = (Y0)))))))))) 738.60/94.20 | ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl117])). 738.60/94.20 thf(zip_derived_cl123, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 (~ ((('#sk1' @ ('#sk1851' @ X0) @ ('#sk1873' @ X0)) => 738.60/94.20 (((X0 @ ('#sk1851' @ X0) @ ('#sk1873' @ X0)) | 738.60/94.20 ((('#sk1851' @ X0) = ('#sk1873' @ X0))))))) 738.60/94.20 | ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl118])). 738.60/94.20 thf(zip_derived_cl128, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 ( ('#sk1' @ ('#sk1851' @ X0) @ ('#sk1873' @ X0)) | ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl123])). 738.60/94.20 thf(zip_derived_cl129, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 (~ (((X0 @ ('#sk1851' @ X0) @ ('#sk1873' @ X0)) | 738.60/94.20 ((('#sk1851' @ X0) = ('#sk1873' @ X0))))) 738.60/94.20 | ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl123])). 738.60/94.20 thf(zip_derived_cl132, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 (~ (X0 @ ('#sk1851' @ X0) @ ('#sk1873' @ X0)) | ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl129])). 738.60/94.20 thf(zip_derived_cl147, plain, 738.60/94.20 (( ('#form1850' @ '#sk1') | ('#form1850' @ '#sk1'))), 738.60/94.20 inference('sup-', [status(thm)], [zip_derived_cl128, zip_derived_cl132])). 738.60/94.20 thf(zip_derived_cl148, plain, ( ('#form1850' @ '#sk1')), 738.60/94.20 inference('simplify', [status(thm)], [zip_derived_cl147])). 738.60/94.20 thf(zip_derived_cl148, plain, ( ('#form1850' @ '#sk1')), 738.60/94.20 inference('simplify', [status(thm)], [zip_derived_cl147])). 738.60/94.20 thf(zip_derived_cl1110, plain, 738.60/94.20 ((('#sk1886' @ '#sk1') = ('#sk1920' @ '#sk1'))), 738.60/94.20 inference('demod', [status(thm)], 738.60/94.20 [zip_derived_cl1057, zip_derived_cl148, zip_derived_cl148])). 738.60/94.20 thf(zip_derived_cl135, plain, 738.60/94.20 (![X0 : a > a > $o]: 738.60/94.20 (~ ('#sk1833' @ X0 @ ('#sk1886' @ X0) @ ('#sk1920' @ X0)) 738.60/94.20 | ~ ('#form1850' @ X0))), 738.60/94.20 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl130])). 738.60/94.20 thf(zip_derived_cl1141, plain, 738.60/94.20 ((~ ('#sk1833' @ '#sk1' @ ('#sk1920' @ '#sk1') @ ('#sk1920' @ '#sk1')) 738.60/94.20 | ~ ('#form1850' @ '#sk1'))), 738.60/94.20 inference('sup-', [status(thm)], [zip_derived_cl1110, zip_derived_cl135])). 738.60/94.20 thf(zip_derived_cl148, plain, ( ('#form1850' @ '#sk1')), 738.60/94.20 inference('simplify', [status(thm)], [zip_derived_cl147])). 738.60/94.20 thf(zip_derived_cl1150, plain, 738.60/94.20 (~ ('#sk1833' @ '#sk1' @ ('#sk1920' @ '#sk1') @ ('#sk1920' @ '#sk1'))), 738.60/94.20 inference('demod', [status(thm)], [zip_derived_cl1141, zip_derived_cl148])). 738.60/94.20 thf(zip_derived_cl1352, plain, (~ ('#form1850' @ '#sk1')), 738.60/94.20 inference('sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl1150])). 738.60/94.20 thf(zip_derived_cl148, plain, ( ('#form1850' @ '#sk1')), 738.60/94.20 inference('simplify', [status(thm)], [zip_derived_cl147])). 738.60/94.20 thf(zip_derived_cl1359, plain, ($false), 738.60/94.20 inference('demod', [status(thm)], [zip_derived_cl1352, zip_derived_cl148])). 738.60/94.20 738.60/94.20 % SZS output end Refutation 738.60/94.20 738.60/94.20 738.60/94.20 % Terminating... 739.15/94.23 % Runner terminated. 739.15/94.24 % Zipperpin 1.5 exiting 739.15/94.25 EOF