0.08/0.15 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gaOsFN7I0C true 0.15/0.38 % Computer : n014.cluster.edu 0.15/0.38 % Model : x86_64 x86_64 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.38 % Memory : 8042.1875MB 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.38 % CPULimit : 960 0.15/0.38 % WCLimit : 120 0.15/0.38 % DateTime : Tue Aug 9 05:19:01 EDT 2022 0.15/0.39 % CPUTime : 0.15/0.39 % Running portfolio for 960 s 0.15/0.39 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.22/0.42 % Number of cores: 8 0.22/0.43 % Python version: Python 3.6.8 0.22/0.46 % Running in HO mode 0.50/0.74 % Total configuration time : 828 0.50/0.74 % Estimated wc time : 1656 0.50/0.74 % Estimated cpu time (8 cpus) : 207.0 0.51/0.82 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.51/0.82 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.51/0.82 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.51/0.83 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.51/0.83 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.53/0.91 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.53/0.94 % Solved by lams/35_full_unif4.sh. 0.53/0.94 % done 4 iterations in 0.019s 0.53/0.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 0.53/0.94 % SZS output start Refutation 0.53/0.94 thf('#sk1_type', type, '#sk1': $i > $o). 0.53/0.94 thf('#sk3_type', type, '#sk3': $i > $o). 0.53/0.94 thf('#sk4_type', type, '#sk4': $i). 0.53/0.94 thf(excl_union_type, type, excl_union: ($i > $o) > ($i > $o) > $i > $o). 0.53/0.94 thf('#sk2_type', type, '#sk2': $i > $o). 0.53/0.94 thf(excl_union, axiom,(( excl_union ) = 0.53/0.94 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: 0.53/0.94 ( ( ( X @ U ) & ( ~( Y @ U ) ) ) | ( ( ~( X @ U ) ) & ( Y @ U ) ) )))). 0.53/0.94 thf('0', plain, 0.53/0.94 (( excl_union ) = 0.53/0.94 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: 0.53/0.94 ( ( ( X @ U ) & ( ~( Y @ U ) ) ) | ( ( ~( X @ U ) ) & ( Y @ U ) ) ) )), 0.53/0.94 inference('simplify_rw_rule', [status(thm)], [excl_union])). 0.53/0.94 thf('1', plain, 0.53/0.94 (( excl_union ) = 0.53/0.94 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 0.53/0.94 ( ( ( V_1 @ V_3 ) & ( ~( V_2 @ V_3 ) ) ) | 0.53/0.94 ( ( ~( V_1 @ V_3 ) ) & ( V_2 @ V_3 ) ) ) )), 0.53/0.94 define([status(thm)])). 0.53/0.94 thf(thm, conjecture, 0.53/0.94 (![X:( $i > $o ),Y:( $i > $o ),Z:( $i > $o )]: 0.53/0.94 ( ( excl_union @ ( excl_union @ X @ Y ) @ Z ) = 0.53/0.94 ( excl_union @ X @ ( excl_union @ Y @ Z ) ) ))). 0.53/0.94 thf(zf_stmt_0, conjecture, 0.53/0.94 (![X4:( $i > $o ),X6:( $i > $o ),X8:( $i > $o )]: 0.53/0.94 ( ( ^[V_1:$i]: 0.53/0.94 ( ( ( X8 @ V_1 ) & 0.53/0.94 ( ~( ( ( X6 @ V_1 ) & ( ~( X4 @ V_1 ) ) ) | 0.53/0.94 ( ( ~( X6 @ V_1 ) ) & ( X4 @ V_1 ) ) ) ) ) | 0.53/0.94 ( ( ~( X8 @ V_1 ) ) & 0.53/0.94 ( ( ( X6 @ V_1 ) & ( ~( X4 @ V_1 ) ) ) | 0.53/0.94 ( ( ~( X6 @ V_1 ) ) & ( X4 @ V_1 ) ) ) ) ) ) = 0.53/0.94 ( ^[V_2:$i]: 0.53/0.94 ( ( ( ( ( X8 @ V_2 ) & ( ~( X6 @ V_2 ) ) ) | 0.53/0.94 ( ( ~( X8 @ V_2 ) ) & ( X6 @ V_2 ) ) ) & 0.53/0.94 ( ~( X4 @ V_2 ) ) ) | 0.53/0.94 ( ( ~( ( ( X8 @ V_2 ) & ( ~( X6 @ V_2 ) ) ) | 0.53/0.94 ( ( ~( X8 @ V_2 ) ) & ( X6 @ V_2 ) ) ) ) & 0.53/0.94 ( X4 @ V_2 ) ) ) ) ))). 0.53/0.94 thf(zf_stmt_1, negated_conjecture, 0.53/0.94 (~( ![X4:( $i > $o ),X6:( $i > $o ),X8:( $i > $o )]: 0.53/0.94 ( ( ^[V_1:$i]: 0.53/0.94 ( ( ( X8 @ V_1 ) & 0.53/0.94 ( ~( ( ( X6 @ V_1 ) & ( ~( X4 @ V_1 ) ) ) | 0.53/0.94 ( ( ~( X6 @ V_1 ) ) & ( X4 @ V_1 ) ) ) ) ) | 0.53/0.94 ( ( ~( X8 @ V_1 ) ) & 0.53/0.94 ( ( ( X6 @ V_1 ) & ( ~( X4 @ V_1 ) ) ) | 0.53/0.94 ( ( ~( X6 @ V_1 ) ) & ( X4 @ V_1 ) ) ) ) ) ) = 0.53/0.94 ( ^[V_2:$i]: 0.53/0.94 ( ( ( ( ( X8 @ V_2 ) & ( ~( X6 @ V_2 ) ) ) | 0.53/0.94 ( ( ~( X8 @ V_2 ) ) & ( X6 @ V_2 ) ) ) & 0.53/0.94 ( ~( X4 @ V_2 ) ) ) | 0.53/0.94 ( ( ~( ( ( X8 @ V_2 ) & ( ~( X6 @ V_2 ) ) ) | 0.53/0.94 ( ( ~( X8 @ V_2 ) ) & ( X6 @ V_2 ) ) ) ) & 0.53/0.94 ( X4 @ V_2 ) ) ) ) ) )), 0.53/0.94 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 0.53/0.94 thf(zip_derived_cl0, plain, 0.53/0.94 (~ (((!!) @ (^[Y0 : $i > $o]: 0.53/0.94 (((!!) @ (^[Y1 : $i > $o]: 0.53/0.94 (((!!) @ (^[Y2 : $i > $o]: 0.53/0.94 ((((^[Y3 : $i]: 0.53/0.94 (((((Y2 @ Y3) & 0.53/0.94 (((~) @ (((((Y1 @ Y3) & 0.53/0.94 (((~) @ ( 0.53/0.94 Y0 @ Y3))))) | 0.53/0.94 (((((~) @ ( 0.53/0.94 Y1 @ Y3))) & 0.53/0.94 (Y0 @ Y3))))))))) | 0.53/0.94 (((((~) @ (Y2 @ Y3))) & 0.53/0.94 (((((Y1 @ Y3) & 0.53/0.94 (((~) @ (Y0 @ Y3))))) | 0.53/0.94 (((((~) @ (Y1 @ Y3))) & 0.53/0.94 (Y0 @ Y3))))))))))) = 0.53/0.94 ((^[Y3 : $i]: 0.53/0.94 (((((((((Y2 @ Y3) & 0.53/0.94 (((~) @ (Y1 @ Y3))))) | 0.53/0.94 (((((~) @ (Y2 @ Y3))) & 0.53/0.94 (Y1 @ Y3))))) & 0.53/0.94 (((~) @ (Y0 @ Y3))))) | 0.53/0.94 (((((~) @ (((((Y2 @ Y3) & 0.53/0.94 (((~) @ ( 0.53/0.94 Y1 @ Y3))))) | 0.53/0.94 (((((~) @ ( 0.53/0.94 Y2 @ Y3))) & 0.53/0.94 (Y1 @ Y3))))))) & 0.53/0.94 (Y0 @ Y3))))))))))))))))))), 0.53/0.94 inference('cnf', [status(esa)], [zf_stmt_1])). 0.53/0.94 thf(zip_derived_cl1, plain, 0.53/0.94 (~ (((!!) @ (^[Y0 : $i > $o]: 0.53/0.94 (((!!) @ (^[Y1 : $i > $o]: 0.53/0.94 ((((^[Y2 : $i]: 0.53/0.94 (((((Y1 @ Y2) & 0.53/0.94 (((~) @ (((((Y0 @ Y2) & 0.53/0.94 (((~) @ ('#sk1' @ Y2))))) | 0.53/0.94 (((((~) @ (Y0 @ Y2))) & 0.53/0.94 ('#sk1' @ Y2))))))))) | 0.53/0.94 (((((~) @ (Y1 @ Y2))) & 0.53/0.94 (((((Y0 @ Y2) & 0.53/0.94 (((~) @ ('#sk1' @ Y2))))) | 0.53/0.94 (((((~) @ (Y0 @ Y2))) & ('#sk1' @ 0.53/0.94 Y2))))))))))) = 0.53/0.94 ((^[Y2 : $i]: 0.53/0.94 (((((((((Y1 @ Y2) & (((~) @ (Y0 @ Y2))))) | 0.53/0.94 (((((~) @ (Y1 @ Y2))) & (Y0 @ Y2))))) & 0.53/0.94 (((~) @ ('#sk1' @ Y2))))) | 0.53/0.94 (((((~) @ (((((Y1 @ Y2) & 0.53/0.94 (((~) @ (Y0 @ Y2))))) | 0.53/0.94 (((((~) @ (Y1 @ Y2))) & 0.53/0.94 (Y0 @ Y2))))))) & 0.53/0.94 ('#sk1' @ Y2)))))))))))))))), 0.53/0.94 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 0.53/0.94 thf(zip_derived_cl2, plain, 0.53/0.94 (~ (((!!) @ (^[Y0 : $i > $o]: 0.53/0.94 ((((^[Y1 : $i]: 0.53/0.94 (((((Y0 @ Y1) & 0.53/0.94 (((~) @ ((((('#sk2' @ Y1) & 0.53/0.94 (((~) @ ('#sk1' @ Y1))))) | 0.53/0.94 (((((~) @ ('#sk2' @ Y1))) & ('#sk1' @ 0.53/0.94 Y1))))))))) | 0.53/0.94 (((((~) @ (Y0 @ Y1))) & 0.53/0.94 ((((('#sk2' @ Y1) & (((~) @ ('#sk1' @ Y1))))) | 0.53/0.94 (((((~) @ ('#sk2' @ Y1))) & ('#sk1' @ Y1))))))))))) = 0.53/0.94 ((^[Y1 : $i]: 0.53/0.94 (((((((((Y0 @ Y1) & (((~) @ ('#sk2' @ Y1))))) | 0.53/0.94 (((((~) @ (Y0 @ Y1))) & ('#sk2' @ Y1))))) & 0.53/0.94 (((~) @ ('#sk1' @ Y1))))) | 0.53/0.94 (((((~) @ (((((Y0 @ Y1) & (((~) @ ('#sk2' @ Y1))))) | 0.53/0.94 (((((~) @ (Y0 @ Y1))) & ('#sk2' @ Y1))))))) & 0.53/0.94 ('#sk1' @ Y1))))))))))))), 0.53/0.94 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 0.53/0.94 thf(zip_derived_cl3, plain, 0.53/0.94 (~ ((((^[Y0 : $i]: 0.53/0.94 ((((('#sk3' @ Y0) & 0.53/0.94 (((~) @ ((((('#sk2' @ Y0) & (((~) @ ('#sk1' @ Y0))))) | 0.53/0.94 (((((~) @ ('#sk2' @ Y0))) & ('#sk1' @ Y0))))))))) | 0.53/0.94 (((((~) @ ('#sk3' @ Y0))) & 0.53/0.94 ((((('#sk2' @ Y0) & (((~) @ ('#sk1' @ Y0))))) | 0.53/0.94 (((((~) @ ('#sk2' @ Y0))) & ('#sk1' @ Y0))))))))))) = 0.53/0.94 ((^[Y0 : $i]: 0.53/0.94 ((((((((('#sk3' @ Y0) & (((~) @ ('#sk2' @ Y0))))) | 0.53/0.94 (((((~) @ ('#sk3' @ Y0))) & ('#sk2' @ Y0))))) & 0.53/0.94 (((~) @ ('#sk1' @ Y0))))) | 0.53/0.94 (((((~) @ ((((('#sk3' @ Y0) & (((~) @ ('#sk2' @ Y0))))) | 0.53/0.94 (((((~) @ ('#sk3' @ Y0))) & ('#sk2' @ Y0))))))) & 0.53/0.94 ('#sk1' @ Y0)))))))))), 0.53/0.94 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 0.53/0.94 thf(zip_derived_cl4, plain, 0.53/0.94 ((((^[Y0 : $i]: 0.53/0.94 ((((('#sk3' @ Y0) & 0.53/0.94 (((~) @ ((((('#sk2' @ Y0) & (((~) @ ('#sk1' @ Y0))))) | 0.53/0.94 (((((~) @ ('#sk2' @ Y0))) & ('#sk1' @ Y0))))))))) | 0.53/0.94 (((((~) @ ('#sk3' @ Y0))) & 0.53/0.94 ((((('#sk2' @ Y0) & (((~) @ ('#sk1' @ Y0))))) | 0.53/0.94 (((((~) @ ('#sk2' @ Y0))) & ('#sk1' @ Y0))))))))))) 0.53/0.94 != ((^[Y0 : $i]: 0.53/0.94 ((((((((('#sk3' @ Y0) & (((~) @ ('#sk2' @ Y0))))) | 0.53/0.94 (((((~) @ ('#sk3' @ Y0))) & ('#sk2' @ Y0))))) & 0.53/0.94 (((~) @ ('#sk1' @ Y0))))) | 0.53/0.94 (((((~) @ ((((('#sk3' @ Y0) & (((~) @ ('#sk2' @ Y0))))) | 0.53/0.94 (((((~) @ ('#sk3' @ Y0))) & ('#sk2' @ Y0))))))) & 0.53/0.94 ('#sk1' @ Y0))))))))), 0.53/0.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])). 0.53/0.94 thf(zip_derived_cl5, plain, 0.53/0.94 ((((((('#sk3' @ '#sk4') & 0.53/0.94 (((~) @ ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))))) | 0.53/0.94 (((((~) @ ('#sk3' @ '#sk4'))) & 0.53/0.94 ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))))) 0.53/0.94 != ((((((((('#sk3' @ '#sk4') & (((~) @ ('#sk2' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk3' @ '#sk4'))) & ('#sk2' @ '#sk4'))))) & 0.53/0.94 (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ((((('#sk3' @ '#sk4') & (((~) @ ('#sk2' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk3' @ '#sk4'))) & ('#sk2' @ '#sk4'))))))) & 0.53/0.94 ('#sk1' @ '#sk4'))))))), 0.53/0.94 inference('neg_ext', [status(thm)], [zip_derived_cl4])). 0.53/0.94 thf(zip_derived_cl5, plain, 0.53/0.94 ((((((('#sk3' @ '#sk4') & 0.53/0.94 (((~) @ ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))))) | 0.53/0.94 (((((~) @ ('#sk3' @ '#sk4'))) & 0.53/0.94 ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))))) 0.53/0.94 != ((((((((('#sk3' @ '#sk4') & (((~) @ ('#sk2' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk3' @ '#sk4'))) & ('#sk2' @ '#sk4'))))) & 0.53/0.94 (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ((((('#sk3' @ '#sk4') & (((~) @ ('#sk2' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk3' @ '#sk4'))) & ('#sk2' @ '#sk4'))))))) & 0.53/0.94 ('#sk1' @ '#sk4'))))))), 0.53/0.94 inference('neg_ext', [status(thm)], [zip_derived_cl4])). 0.53/0.94 thf(zip_derived_cl8, plain, 0.53/0.94 (( ('#sk3' @ '#sk4') 0.53/0.94 | (((((($false) & 0.53/0.94 (((~) @ ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))))) | 0.53/0.94 (((((~) @ ($false))) & 0.53/0.94 ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))))) 0.53/0.94 != ((((((((($false) & (((~) @ ('#sk2' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ($false))) & ('#sk2' @ '#sk4'))))) & 0.53/0.94 (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ((((($false) & (((~) @ ('#sk2' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ($false))) & ('#sk2' @ '#sk4'))))))) & 0.53/0.94 ('#sk1' @ '#sk4')))))))), 0.53/0.94 inference('bool_hoist', [status(thm)], [zip_derived_cl5])). 0.53/0.94 thf(zip_derived_cl9, plain, 0.53/0.94 (( ('#sk3' @ '#sk4') 0.53/0.94 | (((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))) 0.53/0.94 != ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4')))))))), 0.53/0.94 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl8])). 0.53/0.94 thf(zip_derived_cl10, plain, ( ('#sk3' @ '#sk4')), 0.53/0.94 inference('simplify', [status(thm)], [zip_derived_cl9])). 0.53/0.94 thf(zip_derived_cl10, plain, ( ('#sk3' @ '#sk4')), 0.53/0.94 inference('simplify', [status(thm)], [zip_derived_cl9])). 0.53/0.94 thf(zip_derived_cl10, plain, ( ('#sk3' @ '#sk4')), 0.53/0.94 inference('simplify', [status(thm)], [zip_derived_cl9])). 0.53/0.94 thf(zip_derived_cl10, plain, ( ('#sk3' @ '#sk4')), 0.53/0.94 inference('simplify', [status(thm)], [zip_derived_cl9])). 0.53/0.94 thf(zip_derived_cl10, plain, ( ('#sk3' @ '#sk4')), 0.53/0.94 inference('simplify', [status(thm)], [zip_derived_cl9])). 0.53/0.94 thf(zip_derived_cl10, plain, ( ('#sk3' @ '#sk4')), 0.53/0.94 inference('simplify', [status(thm)], [zip_derived_cl9])). 0.53/0.94 thf(zip_derived_cl11, plain, 0.53/0.94 ((((((($true) & 0.53/0.94 (((~) @ ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))))) | 0.53/0.94 (((((~) @ ($true))) & 0.53/0.94 ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))))) 0.53/0.94 != ((((((((($true) & (((~) @ ('#sk2' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ($true))) & ('#sk2' @ '#sk4'))))) & 0.53/0.94 (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ((((($true) & (((~) @ ('#sk2' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ($true))) & ('#sk2' @ '#sk4'))))))) & 0.53/0.94 ('#sk1' @ '#sk4'))))))), 0.53/0.94 inference('demod', [status(thm)], 0.53/0.94 [zip_derived_cl5, zip_derived_cl10, zip_derived_cl10, 0.53/0.94 zip_derived_cl10, zip_derived_cl10, zip_derived_cl10, 0.53/0.94 zip_derived_cl10])). 0.53/0.94 thf(zip_derived_cl12, plain, 0.53/0.94 (((((~) @ ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))) 0.53/0.94 != (((((((~) @ ('#sk2' @ '#sk4'))) & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 ((('#sk2' @ '#sk4') & ('#sk1' @ '#sk4'))))))), 0.53/0.94 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl11])). 0.53/0.94 thf(zip_derived_cl13, plain, 0.53/0.94 ((((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))) 0.53/0.94 = (((((((~) @ ('#sk2' @ '#sk4'))) & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 ((('#sk2' @ '#sk4') & ('#sk1' @ '#sk4'))))))), 0.53/0.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl12])). 0.53/0.94 thf(zip_derived_cl13, plain, 0.53/0.94 ((((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))) 0.53/0.94 = (((((((~) @ ('#sk2' @ '#sk4'))) & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 ((('#sk2' @ '#sk4') & ('#sk1' @ '#sk4'))))))), 0.53/0.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl12])). 0.53/0.94 thf(zip_derived_cl16, plain, 0.53/0.94 (( ('#sk2' @ '#sk4') 0.53/0.94 | (((((($false) & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ($false))) & ('#sk1' @ '#sk4'))))) 0.53/0.94 = (((((((~) @ ($false))) & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 ((($false) & ('#sk1' @ '#sk4')))))))), 0.53/0.94 inference('bool_hoist', [status(thm)], [zip_derived_cl13])). 0.53/0.94 thf(zip_derived_cl17, plain, 0.53/0.94 (( ('#sk2' @ '#sk4') | (('#sk1' @ '#sk4') = (((~) @ ('#sk1' @ '#sk4')))))), 0.53/0.94 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl16])). 0.53/0.94 thf(zip_derived_cl18, plain, 0.53/0.94 (( ('#sk2' @ '#sk4') | (('#sk1' @ '#sk4') != ('#sk1' @ '#sk4')))), 0.53/0.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl17])). 0.53/0.94 thf(zip_derived_cl19, plain, ( ('#sk2' @ '#sk4')), 0.53/0.94 inference('simplify', [status(thm)], [zip_derived_cl18])). 0.53/0.94 thf(zip_derived_cl19, plain, ( ('#sk2' @ '#sk4')), 0.53/0.94 inference('simplify', [status(thm)], [zip_derived_cl18])). 0.53/0.94 thf(zip_derived_cl19, plain, ( ('#sk2' @ '#sk4')), 0.53/0.94 inference('simplify', [status(thm)], [zip_derived_cl18])). 0.53/0.94 thf(zip_derived_cl19, plain, ( ('#sk2' @ '#sk4')), 0.53/0.94 inference('simplify', [status(thm)], [zip_derived_cl18])). 0.53/0.94 thf(zip_derived_cl20, plain, 0.53/0.94 ((((((($true) & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 (((((~) @ ($true))) & ('#sk1' @ '#sk4'))))) 0.53/0.94 = (((((((~) @ ($true))) & (((~) @ ('#sk1' @ '#sk4'))))) | 0.53/0.94 ((($true) & ('#sk1' @ '#sk4'))))))), 0.53/0.94 inference('demod', [status(thm)], 0.53/0.94 [zip_derived_cl13, zip_derived_cl19, zip_derived_cl19, 0.53/0.94 zip_derived_cl19, zip_derived_cl19])). 0.53/0.94 thf(zip_derived_cl21, plain, 0.53/0.94 (((((~) @ ('#sk1' @ '#sk4'))) = ('#sk1' @ '#sk4'))), 0.53/0.94 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl20])). 0.53/0.94 thf(zip_derived_cl22, plain, ((('#sk1' @ '#sk4') != ('#sk1' @ '#sk4'))), 0.53/0.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl21])). 0.53/0.94 thf(zip_derived_cl23, plain, ($false), 0.53/0.94 inference('simplify', [status(thm)], [zip_derived_cl22])). 0.53/0.94 0.53/0.94 % SZS output end Refutation 0.53/0.94 0.53/0.94 0.53/0.94 % Terminating... 0.53/1.04 % Runner terminated. 0.53/1.04 % Zipperpin 1.5 exiting 0.53/1.05 EOF