0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Zq5nnzpgX7 true 0.14/0.35 % Computer : n027.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1440 0.14/0.35 % WCLimit : 180 0.14/0.35 % DateTime : Thu Jul 4 10:24:54 EDT 2024 0.14/0.35 % CPUTime : 0.14/0.35 % Running portfolio for 1440 s 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.35 % Number of cores: 8 0.14/0.35 % Python version: Python 3.6.8 0.14/0.36 % Running in HO mode 0.55/0.66 % Total configuration time : 828 0.55/0.66 % Estimated wc time : 1656 0.55/0.66 % Estimated cpu time (8 cpus) : 207.0 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 55.50/7.60 % Solved by lams/20_acsne_simpl.sh. 55.50/7.60 % done 214 iterations in 6.793s 55.50/7.60 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 55.50/7.60 % SZS output start Refutation 55.50/7.60 thf(a_type, type, a: $tType). 55.50/7.60 thf('#sk69_type', type, '#sk69': (a > $o) > a). 55.50/7.60 thf('#sk60_type', type, '#sk60': a > a > $o). 55.50/7.60 thf('#_fresh_sk15_type', type, '#_fresh_sk15': (a > a > $o) > a > $o). 55.50/7.60 thf('#sk1_type', type, '#sk1': (a > $o) > $o). 55.50/7.60 thf('#sk12_type', type, '#sk12': (a > $o) > (a > $o) > a). 55.50/7.60 thf(cTHM262_D_EXT_pme, conjecture, 55.50/7.60 (( ![Xp:( a > $o ),Xa:( a > $o )]: 55.50/7.60 ( ( ![Xb:a]: ( ( Xp @ Xb ) <=> ( Xa @ Xb ) ) ) => 55.50/7.60 ( ![P:( ( a > $o ) > $o )]: ( ( P @ Xp ) => ( P @ Xa ) ) ) ) ) => 55.50/7.60 ( ![P:( ( a > $o ) > $o )]: 55.50/7.60 ( ( ( ![Xp:( a > $o )]: ( ( P @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) & 55.50/7.60 ( ![Xx:a,Xy:a,Xp:( a > $o ),Xq:( a > $o )]: 55.50/7.60 ( ( ( P @ Xp ) & ( P @ Xq ) & ( Xp @ Xy ) & ( Xq @ Xx ) & 55.50/7.60 ( Xp @ Xx ) ) => 55.50/7.60 ( Xq @ Xy ) ) ) & 55.50/7.60 ( ![Xx:a]: ( ?[Xp:( a > $o )]: ( ( Xp @ Xx ) & ( P @ Xp ) ) ) ) ) => 55.50/7.60 ( ?[Q:( a > a > $o )]: 55.50/7.60 ( ( ^[Xs:( a > $o )]: 55.50/7.60 ( ( ![Xx:a]: 55.50/7.60 ( ( Xs @ Xx ) => 55.50/7.60 ( ![Xy:a]: ( ( Q @ Xx @ Xy ) <=> ( Xs @ Xy ) ) ) ) ) & 55.50/7.60 ( ?[Xz:a]: ( Xs @ Xz ) ) ) ) = 55.50/7.60 ( P ) ) ) ) ))). 55.50/7.60 thf(zf_stmt_0, negated_conjecture, 55.50/7.60 (~( ( ![Xp:( a > $o ),Xa:( a > $o )]: 55.50/7.60 ( ( ![Xb:a]: ( ( Xp @ Xb ) <=> ( Xa @ Xb ) ) ) => 55.50/7.60 ( ![P:( ( a > $o ) > $o )]: ( ( P @ Xp ) => ( P @ Xa ) ) ) ) ) => 55.50/7.60 ( ![P:( ( a > $o ) > $o )]: 55.50/7.60 ( ( ( ![Xp:( a > $o )]: ( ( P @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) & 55.50/7.60 ( ![Xx:a,Xy:a,Xp:( a > $o ),Xq:( a > $o )]: 55.50/7.60 ( ( ( P @ Xp ) & ( P @ Xq ) & ( Xp @ Xy ) & ( Xq @ Xx ) & 55.50/7.60 ( Xp @ Xx ) ) => 55.50/7.60 ( Xq @ Xy ) ) ) & 55.50/7.60 ( ![Xx:a]: ( ?[Xp:( a > $o )]: ( ( Xp @ Xx ) & ( P @ Xp ) ) ) ) ) => 55.50/7.60 ( ?[Q:( a > a > $o )]: 55.50/7.60 ( ( ^[Xs:( a > $o )]: 55.50/7.60 ( ( ![Xx:a]: 55.50/7.60 ( ( Xs @ Xx ) => 55.50/7.60 ( ![Xy:a]: ( ( Q @ Xx @ Xy ) <=> ( Xs @ Xy ) ) ) ) ) & 55.50/7.60 ( ?[Xz:a]: ( Xs @ Xz ) ) ) ) = 55.50/7.60 ( P ) ) ) ) ) )), 55.50/7.60 inference('cnf.neg', [status(esa)], [cTHM262_D_EXT_pme])). 55.50/7.60 thf(zip_derived_cl0, plain, 55.50/7.60 (~ (((((!!) @ (^[Y0 : a > $o]: 55.50/7.60 (((!!) @ (^[Y1 : a > $o]: 55.50/7.60 (((((!!) @ (^[Y2 : a]: 55.50/7.60 (((Y0 @ Y2) <=> (Y1 @ Y2)))))) => 55.50/7.60 (((!!) @ (^[Y2 : (a > $o) > $o]: 55.50/7.60 (((Y2 @ Y0) => (Y2 @ Y1)))))))))))))) => 55.50/7.60 (((!!) @ (^[Y0 : (a > $o) > $o]: 55.50/7.60 (((((((!!) @ (^[Y1 : a > $o]: 55.50/7.60 (((Y0 @ Y1) => 55.50/7.60 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))) & 55.50/7.60 (((!!) @ (^[Y1 : a]: 55.50/7.60 (((!!) @ (^[Y2 : a]: 55.50/7.60 (((!!) @ (^[Y3 : a > $o]: 55.50/7.60 (((!!) @ ( 55.50/7.60 ^[Y4 : a > $o]: 55.50/7.60 (((( 55.50/7.60 (Y0 @ Y3) & 55.50/7.60 (Y0 @ Y4) & 55.50/7.60 (Y3 @ Y2) & 55.50/7.60 (Y4 @ Y1) & 55.50/7.60 (Y3 @ Y1))) => 55.50/7.60 (Y4 @ Y2))))))))))))))) & 55.50/7.60 (((!!) @ (^[Y1 : a]: 55.50/7.60 (((??) @ (^[Y2 : a > $o]: 55.50/7.60 (((Y2 @ Y1) & (Y0 @ Y2))))))))))) => 55.50/7.60 (((??) @ (^[Y1 : a > a > $o]: 55.50/7.60 ((((^[Y2 : a > $o]: 55.50/7.60 (((((!!) @ (^[Y3 : a]: 55.50/7.60 (((Y2 @ Y3) => 55.50/7.60 (((!!) @ (^[Y4 : a]: 55.50/7.60 (( 55.50/7.60 (Y1 @ 55.50/7.60 Y3 @ 55.50/7.60 Y4) <=> 55.50/7.60 (Y2 @ Y4))))))))))) & 55.50/7.60 (((??) @ (^[Y3 : a]: (Y2 @ Y3)))))))) = 55.50/7.60 (Y0)))))))))))))), 55.50/7.60 inference('cnf', [status(esa)], [zf_stmt_0])). 55.50/7.60 thf(zip_derived_cl2, plain, 55.50/7.60 (~ (((!!) @ (^[Y0 : (a > $o) > $o]: 55.50/7.60 (((((((!!) @ (^[Y1 : a > $o]: 55.50/7.60 (((Y0 @ Y1) => 55.50/7.60 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))) & 55.50/7.60 (((!!) @ (^[Y1 : a]: 55.50/7.60 (((!!) @ (^[Y2 : a]: 55.50/7.60 (((!!) @ (^[Y3 : a > $o]: 55.50/7.60 (((!!) @ ( 55.50/7.60 ^[Y4 : a > $o]: 55.50/7.60 (((((Y0 @ Y3) & 55.50/7.60 (Y0 @ Y4) & 55.50/7.60 (Y3 @ Y2) & 55.50/7.60 (Y4 @ Y1) & 55.50/7.60 (Y3 @ Y1))) => 55.50/7.60 (Y4 @ Y2))))))))))))))) & 55.50/7.60 (((!!) @ (^[Y1 : a]: 55.50/7.60 (((??) @ (^[Y2 : a > $o]: 55.50/7.60 (((Y2 @ Y1) & (Y0 @ Y2))))))))))) => 55.50/7.60 (((??) @ (^[Y1 : a > a > $o]: 55.50/7.60 ((((^[Y2 : a > $o]: 55.50/7.60 (((((!!) @ (^[Y3 : a]: 55.50/7.60 (((Y2 @ Y3) => 55.50/7.60 (((!!) @ (^[Y4 : a]: 55.50/7.60 (( 55.50/7.60 (Y1 @ 55.50/7.60 Y3 @ 55.50/7.60 Y4) <=> 55.50/7.60 (Y2 @ Y4))))))))))) & 55.50/7.60 (((??) @ (^[Y3 : a]: (Y2 @ Y3)))))))) = 55.50/7.60 (Y0)))))))))))), 55.50/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])). 55.50/7.60 thf(zip_derived_cl4, plain, 55.50/7.60 (~ (((((((!!) @ (^[Y0 : a > $o]: 55.50/7.60 ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) & 55.50/7.60 (((!!) @ (^[Y0 : a]: 55.50/7.60 (((!!) @ (^[Y1 : a]: 55.50/7.60 (((!!) @ (^[Y2 : a > $o]: 55.50/7.60 (((!!) @ (^[Y3 : a > $o]: 55.50/7.60 ((((('#sk1' @ Y2) & 55.50/7.60 ('#sk1' @ Y3) & 55.50/7.60 (Y2 @ Y1) & 55.50/7.60 (Y3 @ Y0) & 55.50/7.60 (Y2 @ Y0))) => 55.50/7.60 (Y3 @ Y1))))))))))))))) & 55.50/7.60 (((!!) @ (^[Y0 : a]: 55.50/7.60 (((??) @ (^[Y1 : a > $o]: 55.50/7.60 (((Y1 @ Y0) & ('#sk1' @ Y1))))))))))) => 55.50/7.60 (((??) @ (^[Y0 : a > a > $o]: 55.50/7.60 ((((^[Y1 : a > $o]: 55.50/7.60 (((((!!) @ (^[Y2 : a]: 55.50/7.60 (((Y1 @ Y2) => 55.50/7.60 (((!!) @ (^[Y3 : a]: 55.50/7.60 (((Y0 @ Y2 @ Y3) <=> 55.50/7.60 (Y1 @ Y3))))))))))) & 55.50/7.60 (((??) @ (^[Y2 : a]: (Y1 @ Y2)))))))) = 55.50/7.60 ('#sk1'))))))))), 55.50/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 55.50/7.60 thf(zip_derived_cl6, plain, 55.50/7.60 ( (((((!!) @ (^[Y0 : a > $o]: 55.50/7.60 ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) & 55.50/7.60 (((!!) @ (^[Y0 : a]: 55.50/7.60 (((!!) @ (^[Y1 : a]: 55.50/7.60 (((!!) @ (^[Y2 : a > $o]: 55.50/7.60 (((!!) @ (^[Y3 : a > $o]: 55.50/7.60 ((((('#sk1' @ Y2) & 55.50/7.60 ('#sk1' @ Y3) & 55.50/7.60 (Y2 @ Y1) & 55.50/7.60 (Y3 @ Y0) & 55.50/7.60 (Y2 @ Y0))) => 55.50/7.60 (Y3 @ Y1))))))))))))))) & 55.50/7.60 (((!!) @ (^[Y0 : a]: 55.50/7.60 (((??) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & ('#sk1' @ Y1)))))))))))), 55.50/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 55.50/7.60 thf(zip_derived_cl10, plain, 55.50/7.60 ( (((!!) @ (^[Y0 : a]: 55.50/7.60 (((!!) @ (^[Y1 : a]: 55.50/7.60 (((!!) @ (^[Y2 : a > $o]: 55.50/7.60 (((!!) @ (^[Y3 : a > $o]: 55.50/7.60 ((((('#sk1' @ Y2) & 55.50/7.60 ('#sk1' @ Y3) & 55.50/7.60 (Y2 @ Y1) & 55.50/7.60 (Y3 @ Y0) & 55.50/7.60 (Y2 @ Y0))) => 55.50/7.60 (Y3 @ Y1)))))))))))))))), 55.50/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])). 55.50/7.60 thf(zip_derived_cl15, plain, 55.50/7.60 (![X2 : a]: 55.50/7.60 (((!!) @ (^[Y0 : a]: 55.50/7.60 (((!!) @ (^[Y1 : a > $o]: 55.50/7.60 (((!!) @ (^[Y2 : a > $o]: 55.50/7.60 ((((('#sk1' @ Y1) & 55.50/7.60 ('#sk1' @ Y2) & (Y1 @ Y0) & 55.50/7.60 (Y2 @ X2) & (Y1 @ X2))) => 55.50/7.60 (Y2 @ Y0))))))))))))), 55.50/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])). 55.50/7.60 thf(zip_derived_cl24, plain, 55.50/7.60 (![X2 : a, X4 : a]: 55.50/7.60 (((!!) @ (^[Y0 : a > $o]: 55.50/7.60 (((!!) @ (^[Y1 : a > $o]: 55.50/7.60 ((((('#sk1' @ Y0) & ('#sk1' @ Y1) & 55.50/7.60 (Y0 @ X4) & (Y1 @ X2) & (Y0 @ X2))) => 55.50/7.60 (Y1 @ X4)))))))))), 55.50/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])). 55.50/7.60 thf(zip_derived_cl31, plain, 55.50/7.60 (![X2 : a, X4 : a, X6 : a > $o]: 55.50/7.60 (((!!) @ (^[Y0 : a > $o]: 55.50/7.60 ((((('#sk1' @ X6) & ('#sk1' @ Y0) & (X6 @ X4) & 55.50/7.60 (Y0 @ X2) & (X6 @ X2))) => 55.50/7.60 (Y0 @ X4))))))), 55.50/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])). 55.50/7.60 thf(zip_derived_cl32, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a]: 55.50/7.60 (((!!) @ (^[Y0 : a > $o]: 55.50/7.60 ((((('#sk1' @ ('#sk60' @ X1)) & ('#sk1' @ Y0) & 55.50/7.60 ('#sk60' @ X1 @ X0) & (Y0 @ X2) & ('#sk60' @ X1 @ X2))) => 55.50/7.60 (Y0 @ X0))))))), 55.50/7.60 inference('triggered_bool_instantiation', [status(thm)], 55.50/7.60 [zip_derived_cl31])). 55.50/7.60 thf(zip_derived_cl164, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a, X4 : a > $o]: 55.50/7.60 ((((('#sk1' @ ('#sk60' @ X1)) & ('#sk1' @ X4) & 55.50/7.60 ('#sk60' @ X1 @ X0) & (X4 @ X2) & ('#sk60' @ X1 @ X2))) => 55.50/7.60 (X4 @ X0)))), 55.50/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])). 55.50/7.60 thf(zip_derived_cl11, plain, 55.50/7.60 ( (((!!) @ (^[Y0 : a]: 55.50/7.60 (((??) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & ('#sk1' @ Y1)))))))))), 55.50/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])). 55.50/7.60 thf(zip_derived_cl16, plain, 55.50/7.60 (![X2 : a]: (((??) @ (^[Y0 : a > $o]: (((Y0 @ X2) & ('#sk1' @ Y0))))))), 55.50/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])). 55.50/7.60 thf(zip_derived_cl28, plain, 55.50/7.60 (![X2 : a]: ((('#sk60' @ X2 @ X2) & ('#sk1' @ ('#sk60' @ X2))))), 55.50/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl16])). 55.50/7.60 thf(zip_derived_cl34, plain, (![X2 : a]: ('#sk1' @ ('#sk60' @ X2))), 55.50/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])). 55.50/7.60 thf(zip_derived_cl169, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a, X4 : a > $o]: 55.50/7.60 ((((($true) & ('#sk1' @ X4) & ('#sk60' @ X1 @ X0) & (X4 @ X2) & 55.50/7.60 ('#sk60' @ X1 @ X2))) => 55.50/7.60 (X4 @ X0)))), 55.50/7.60 inference('demod', [status(thm)], [zip_derived_cl164, zip_derived_cl34])). 55.50/7.60 thf(zip_derived_cl170, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a, X4 : a > $o]: 55.50/7.60 ((((('#sk60' @ X1 @ X2) & ('#sk60' @ X1 @ X0) & (X4 @ X2) & 55.50/7.60 ('#sk1' @ X4))) => 55.50/7.60 (X4 @ X0)))), 55.50/7.60 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl169])). 55.50/7.60 thf(zip_derived_cl171, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a, X4 : a > $o]: 55.50/7.60 (~ ((('#sk60' @ X1 @ X2) & ('#sk60' @ X1 @ X0) & (X4 @ X2) & 55.50/7.60 ('#sk1' @ X4))) 55.50/7.60 | (X4 @ X0))), 55.50/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl170])). 55.50/7.60 thf(zip_derived_cl172, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a, X4 : a > $o]: 55.50/7.60 (~ ('#sk60' @ X1 @ X2) 55.50/7.60 | ~ ('#sk60' @ X1 @ X0) 55.50/7.60 | ~ (X4 @ X2) 55.50/7.60 | ~ ('#sk1' @ X4) 55.50/7.60 | (X4 @ X0))), 55.50/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl171])). 55.50/7.60 thf(zip_derived_cl9, plain, 55.50/7.60 ( (((!!) @ (^[Y0 : a > $o]: 55.50/7.60 ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))))), 55.50/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])). 55.50/7.60 thf(zip_derived_cl14, plain, 55.50/7.60 (![X2 : a > $o]: ((('#sk1' @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0))))))), 55.50/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 55.50/7.60 thf(zip_derived_cl23, plain, 55.50/7.60 (![X2 : a > $o]: (~ ('#sk1' @ X2) | (((??) @ (^[Y0 : a]: (X2 @ Y0)))))), 55.50/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])). 55.50/7.60 thf(zip_derived_cl30, plain, 55.50/7.60 (![X2 : a > $o]: ( (X2 @ ('#sk69' @ X2)) | ~ ('#sk1' @ X2))), 55.50/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl23])). 55.50/7.60 thf(zip_derived_cl33, plain, (![X2 : a]: ('#sk60' @ X2 @ X2)), 55.50/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])). 55.50/7.60 thf(zip_derived_cl31, plain, 55.50/7.60 (![X2 : a, X4 : a, X6 : a > $o]: 55.50/7.60 (((!!) @ (^[Y0 : a > $o]: 55.50/7.60 ((((('#sk1' @ X6) & ('#sk1' @ Y0) & (X6 @ X4) & 55.50/7.60 (Y0 @ X2) & (X6 @ X2))) => 55.50/7.60 (Y0 @ X4))))))), 55.50/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])). 55.50/7.60 thf(zip_derived_cl35, plain, 55.50/7.60 (![X2 : a, X4 : a, X6 : a > $o, X8 : a > $o]: 55.50/7.60 ((((('#sk1' @ X6) & ('#sk1' @ X8) & (X6 @ X4) & (X8 @ X2) & (X6 @ X2))) => 55.50/7.60 (X8 @ X4)))), 55.50/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl31])). 55.50/7.60 thf(zip_derived_cl36, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a > $o, X3 : a]: 55.50/7.60 ((((('#sk1' @ X2) & ('#sk1' @ ('#sk60' @ X0)) & (X2 @ X1) & 55.50/7.60 ('#sk60' @ X0 @ X3) & (X2 @ X3))) => 55.50/7.60 ('#sk60' @ X0 @ X1)))), 55.50/7.60 inference('triggered_bool_instantiation', [status(thm)], 55.50/7.60 [zip_derived_cl35])). 55.50/7.60 thf(zip_derived_cl34, plain, (![X2 : a]: ('#sk1' @ ('#sk60' @ X2))), 55.50/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])). 55.50/7.60 thf(zip_derived_cl77, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a > $o, X3 : a]: 55.50/7.60 ((((('#sk1' @ X2) & ($true) & (X2 @ X1) & ('#sk60' @ X0 @ X3) & 55.50/7.60 (X2 @ X3))) => 55.50/7.60 ('#sk60' @ X0 @ X1)))), 55.50/7.60 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl34])). 55.50/7.60 thf(zip_derived_cl78, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a > $o, X3 : a]: 55.50/7.60 ((((('#sk1' @ X2) & (X2 @ X3) & ('#sk60' @ X0 @ X3) & (X2 @ X1))) => 55.50/7.60 ('#sk60' @ X0 @ X1)))), 55.50/7.60 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl77])). 55.50/7.60 thf(zip_derived_cl79, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a > $o, X3 : a]: 55.50/7.60 (~ ((('#sk1' @ X2) & (X2 @ X3) & ('#sk60' @ X0 @ X3) & (X2 @ X1))) 55.50/7.60 | ('#sk60' @ X0 @ X1))), 55.50/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl78])). 55.50/7.60 thf(zip_derived_cl80, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a > $o, X3 : a]: 55.50/7.60 (~ ('#sk1' @ X2) 55.50/7.60 | ~ (X2 @ X3) 55.50/7.60 | ~ ('#sk60' @ X0 @ X3) 55.50/7.60 | ~ (X2 @ X1) 55.50/7.60 | ('#sk60' @ X0 @ X1))), 55.50/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl79])). 55.50/7.60 thf(zip_derived_cl164, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a, X4 : a > $o]: 55.50/7.60 ((((('#sk1' @ ('#sk60' @ X1)) & ('#sk1' @ X4) & 55.50/7.60 ('#sk60' @ X1 @ X0) & (X4 @ X2) & ('#sk60' @ X1 @ X2))) => 55.50/7.60 (X4 @ X0)))), 55.50/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])). 55.50/7.60 thf(zip_derived_cl168, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a, X3 : a]: 55.50/7.60 ((((('#sk1' @ ('#sk60' @ X3)) & ('#sk1' @ ('#sk60' @ X0)) & 55.50/7.60 ('#sk60' @ X3 @ X1) & ('#sk60' @ X0 @ X2) & ('#sk60' @ X3 @ X2))) => 55.50/7.60 ('#sk60' @ X0 @ X1)))), 55.50/7.60 inference('triggered_bool_instantiation', [status(thm)], 55.50/7.60 [zip_derived_cl164])). 55.50/7.60 thf(zip_derived_cl34, plain, (![X2 : a]: ('#sk1' @ ('#sk60' @ X2))), 55.50/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])). 55.50/7.60 thf(zip_derived_cl34, plain, (![X2 : a]: ('#sk1' @ ('#sk60' @ X2))), 55.50/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])). 55.50/7.60 thf(zip_derived_cl181, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a, X3 : a]: 55.50/7.60 ((((($true) & ($true) & ('#sk60' @ X3 @ X1) & ('#sk60' @ X0 @ X2) & 55.50/7.60 ('#sk60' @ X3 @ X2))) => 55.50/7.60 ('#sk60' @ X0 @ X1)))), 55.50/7.60 inference('demod', [status(thm)], 55.50/7.60 [zip_derived_cl168, zip_derived_cl34, zip_derived_cl34])). 55.50/7.60 thf(zip_derived_cl182, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a, X3 : a]: 55.50/7.60 ((((('#sk60' @ X3 @ X2) & ('#sk60' @ X3 @ X1) & ('#sk60' @ X0 @ X2))) => 55.50/7.60 ('#sk60' @ X0 @ X1)))), 55.50/7.60 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl181])). 55.50/7.60 thf(zip_derived_cl183, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a, X3 : a]: 55.50/7.60 (~ ((('#sk60' @ X3 @ X2) & ('#sk60' @ X3 @ X1) & ('#sk60' @ X0 @ X2))) 55.50/7.60 | ('#sk60' @ X0 @ X1))), 55.50/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl182])). 55.50/7.60 thf(zip_derived_cl184, plain, 55.50/7.60 (![X0 : a, X1 : a, X2 : a, X3 : a]: 55.50/7.60 (~ ('#sk60' @ X3 @ X2) 55.50/7.60 | ~ ('#sk60' @ X3 @ X1) 55.50/7.60 | ~ ('#sk60' @ X0 @ X2) 55.50/7.60 | ('#sk60' @ X0 @ X1))), 55.50/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl183])). 55.50/7.60 thf(zip_derived_cl1, plain, 55.50/7.60 ( (((!!) @ (^[Y0 : a > $o]: 55.50/7.60 (((!!) @ (^[Y1 : a > $o]: 55.50/7.60 (((((!!) @ (^[Y2 : a]: 55.50/7.60 (((Y0 @ Y2) <=> (Y1 @ Y2)))))) => 55.50/7.60 (((!!) @ (^[Y2 : (a > $o) > $o]: 55.50/7.60 (((Y2 @ Y0) => (Y2 @ Y1))))))))))))))), 55.50/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])). 55.50/7.60 thf(zip_derived_cl3, plain, 55.50/7.60 (![X2 : a > $o]: 55.50/7.60 (((!!) @ (^[Y0 : a > $o]: 55.50/7.60 (((((!!) @ (^[Y1 : a]: (((X2 @ Y1) <=> (Y0 @ Y1)))))) => 55.50/7.60 (((!!) @ (^[Y1 : (a > $o) > $o]: 55.50/7.60 (((Y1 @ X2) => (Y1 @ Y0)))))))))))), 55.50/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 55.50/7.60 thf(zip_derived_cl27, plain, 55.50/7.60 (![X0 : a]: 55.50/7.60 (((!!) @ (^[Y0 : a > $o]: 55.50/7.60 (((((!!) @ (^[Y1 : a]: 55.50/7.60 ((('#sk60' @ X0 @ Y1) <=> (Y0 @ Y1)))))) => 55.50/7.60 (((!!) @ (^[Y1 : (a > $o) > $o]: 55.50/7.60 (((Y1 @ ('#sk60' @ X0)) => (Y1 @ Y0)))))))))))), 55.50/7.60 inference('triggered_bool_instantiation', [status(thm)], 55.50/7.60 [zip_derived_cl3])). 55.50/7.60 thf(zip_derived_cl91, plain, 55.50/7.60 (![X0 : a, X2 : a > $o]: 55.50/7.60 (((((!!) @ (^[Y0 : a]: ((('#sk60' @ X0 @ Y0) <=> (X2 @ Y0)))))) => 55.50/7.60 (((!!) @ (^[Y0 : (a > $o) > $o]: 55.50/7.60 (((Y0 @ ('#sk60' @ X0)) => (Y0 @ X2))))))))), 55.50/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl27])). 55.50/7.60 thf(zip_derived_cl96, plain, 55.50/7.60 (![X0 : a, X2 : a > $o]: 55.50/7.60 (~ (((!!) @ (^[Y0 : a]: ((('#sk60' @ X0 @ Y0) <=> (X2 @ Y0)))))) 55.50/7.60 | (((!!) @ (^[Y0 : (a > $o) > $o]: 55.50/7.60 (((Y0 @ ('#sk60' @ X0)) => (Y0 @ X2)))))))), 55.50/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])). 55.50/7.60 thf(zip_derived_cl97, plain, 55.50/7.60 (![X0 : a, X2 : a > $o]: 55.50/7.60 (~ ((('#sk60' @ X0 @ ('#sk12' @ ('#sk60' @ X0) @ X2)) <=> (X2 @ 55.50/7.60 ('#sk12' @ ('#sk60' @ X0) @ X2)))) 55.50/7.60 | (((!!) @ (^[Y0 : (a > $o) > $o]: 55.50/7.60 (((Y0 @ ('#sk60' @ X0)) => (Y0 @ X2)))))))), 55.50/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl96])). 55.50/7.60 thf(zip_derived_cl98, plain, 55.50/7.60 (![X0 : a, X2 : a > $o]: 55.50/7.60 ((('#sk60' @ X0 @ ('#sk12' @ ('#sk60' @ X0) @ X2)) 55.50/7.60 != (X2 @ ('#sk12' @ ('#sk60' @ X0) @ X2))) 55.50/7.60 | (((!!) @ (^[Y0 : (a > $o) > $o]: 55.50/7.60 (((Y0 @ ('#sk60' @ X0)) => (Y0 @ X2)))))))), 55.50/7.60 inference('simplify nested equalities', [status(thm)], [zip_derived_cl97])). 55.50/7.60 thf(zip_derived_cl99, plain, 55.50/7.60 (![X0 : a, X2 : a > $o, X4 : (a > $o) > $o]: 55.50/7.60 ( (((X4 @ ('#sk60' @ X0)) => (X4 @ X2))) 55.50/7.60 | (('#sk60' @ X0 @ ('#sk12' @ ('#sk60' @ X0) @ X2)) 55.50/7.60 != (X2 @ ('#sk12' @ ('#sk60' @ X0) @ X2))))), 55.50/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl98])). 55.50/7.60 thf(zip_derived_cl100, plain, 55.50/7.60 (![X0 : a > $o, X1 : a]: 55.50/7.60 ( ((('#sk1' @ ('#sk60' @ X1)) => ('#sk1' @ X0))) 55.50/7.60 | (('#sk60' @ X1 @ ('#sk12' @ ('#sk60' @ X1) @ X0)) 55.50/7.60 != (X0 @ ('#sk12' @ ('#sk60' @ X1) @ X0))))), 55.50/7.60 inference('triggered_bool_instantiation', [status(thm)], 55.50/7.60 [zip_derived_cl99])). 55.50/7.60 thf(zip_derived_cl34, plain, (![X2 : a]: ('#sk1' @ ('#sk60' @ X2))), 55.50/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])). 55.50/7.60 thf(zip_derived_cl154, plain, 55.50/7.60 (![X0 : a > $o, X1 : a]: 55.50/7.60 ( ((($true) => ('#sk1' @ X0))) 55.50/7.60 | (('#sk60' @ X1 @ ('#sk12' @ ('#sk60' @ X1) @ X0)) 55.50/7.60 != (X0 @ ('#sk12' @ ('#sk60' @ X1) @ X0))))), 55.50/7.60 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl34])). 55.50/7.60 thf(zip_derived_cl155, plain, 55.50/7.60 (![X0 : a > $o, X1 : a]: 55.50/7.60 ( ('#sk1' @ X0) 55.50/7.60 | (('#sk60' @ X1 @ ('#sk12' @ ('#sk60' @ X1) @ X0)) 55.50/7.60 != (X0 @ ('#sk12' @ ('#sk60' @ X1) @ X0))))), 55.50/7.60 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl154])). 55.50/7.60 thf(zip_derived_cl7, plain, 55.50/7.60 (~ (((??) @ (^[Y0 : a > a > $o]: 55.50/7.60 ((((^[Y1 : a > $o]: 55.50/7.60 (((((!!) @ (^[Y2 : a]: 55.50/7.60 (((Y1 @ Y2) => 55.50/7.60 (((!!) @ (^[Y3 : a]: 55.50/7.60 (((Y0 @ Y2 @ Y3) <=> 55.50/7.60 (Y1 @ Y3))))))))))) & 55.50/7.60 (((??) @ (^[Y2 : a]: (Y1 @ Y2)))))))) = 55.50/7.60 ('#sk1'))))))), 55.50/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 55.50/7.60 thf(zip_derived_cl12, plain, 55.50/7.60 (![X2 : a > a > $o]: 55.50/7.60 ~ ((((^[Y0 : a > $o]: 55.50/7.60 (((((!!) @ (^[Y1 : a]: 55.50/7.60 (((Y0 @ Y1) => 55.50/7.60 (((!!) @ (^[Y2 : a]: 55.50/7.60 (((X2 @ Y1 @ Y2) <=> (Y0 @ Y2))))))))))) & 55.50/7.60 (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))) = 55.50/7.60 ('#sk1')))), 55.50/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 55.50/7.60 thf(zip_derived_cl17, plain, 55.50/7.60 (![X2 : a > a > $o]: 55.50/7.60 (((^[Y0 : a > $o]: 55.50/7.60 (((((!!) @ (^[Y1 : a]: 55.50/7.60 (((Y0 @ Y1) => 55.50/7.60 (((!!) @ (^[Y2 : a]: 55.50/7.60 (((X2 @ Y1 @ Y2) <=> (Y0 @ Y2))))))))))) & 55.50/7.60 (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))) 55.50/7.60 != ('#sk1'))), 55.50/7.60 inference('simplify nested equalities', [status(thm)], [zip_derived_cl12])). 55.50/7.60 thf(zip_derived_cl18, plain, 55.50/7.60 (![X2 : a > a > $o]: 55.50/7.60 (((^[Y0 : a > $o]: 55.50/7.60 (((((!!) @ (^[Y1 : a]: 55.50/7.60 (((Y0 @ Y1) => 55.50/7.60 (((!!) @ (^[Y2 : a]: 55.50/7.60 (((X2 @ Y1 @ Y2) <=> (Y0 @ Y2))))))))))) & 55.50/7.60 (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))) @ 55.50/7.60 ('#_fresh_sk15' @ X2)) != ('#sk1' @ ('#_fresh_sk15' @ X2)))), 55.50/7.60 inference('neg_ext_simpl', [status(thm)], [zip_derived_cl17])). 55.50/7.60 thf(zip_derived_cl19, plain, 55.50/7.60 (![X2 : a > a > $o]: 55.50/7.60 ((((((!!) @ (^[Y0 : a]: 55.50/7.60 ((('#_fresh_sk15' @ X2 @ Y0) => 55.50/7.60 (((!!) @ (^[Y1 : a]: 55.50/7.60 (((X2 @ Y0 @ Y1) <=> ('#_fresh_sk15' @ 55.50/7.60 X2 @ Y1))))))))))) & 55.50/7.60 (((??) @ (^[Y0 : a]: ('#_fresh_sk15' @ X2 @ Y0)))))) 55.50/7.60 != ('#sk1' @ ('#_fresh_sk15' @ X2)))), 55.50/7.60 inference('ho_norm', [status(thm)], [zip_derived_cl18])). 55.50/7.60 thf(zip_derived_cl9641, plain, ($false), 55.50/7.60 inference('eprover', [status(thm)], 55.50/7.60 [zip_derived_cl172, zip_derived_cl30, zip_derived_cl33, 55.50/7.60 zip_derived_cl80, zip_derived_cl184, zip_derived_cl155, 55.50/7.60 zip_derived_cl19])). 55.50/7.60 55.50/7.60 % SZS output end Refutation 55.50/7.60 55.50/7.60 55.50/7.60 % Terminating... 55.64/7.75 % Runner terminated. 55.64/7.75 % Zipperpin 1.5 exiting 55.64/7.75 EOF