0.06/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UsV9doN2m7 true 0.12/0.33 % Computer : n028.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 03:39:49 EDT 2025 0.12/0.33 % CPUTime : 0.12/0.33 % Running portfolio for 1920 s 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.33 % Number of cores: 8 0.12/0.33 % Python version: Python 3.6.8 0.12/0.34 % Running in HO mode 0.65/0.63 % Total configuration time : 828 0.65/0.63 % Estimated wc time : 1656 0.65/0.63 % Estimated cpu time (8 cpus) : 207.0 0.76/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.76/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.76/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.76/0.70 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.76/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.76/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.76/0.70 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.76/0.71 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 1.04/0.76 % Solved by lams/35_full_unif4.sh. 1.04/0.76 % done 4 iterations in 0.031s 1.04/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 1.04/0.76 % SZS output start Refutation 1.04/0.76 thf('#sk1_type', type, '#sk1': $i > $o). 1.04/0.76 thf(excl_union_type, type, excl_union: ($i > $o) > ($i > $o) > $i > $o). 1.04/0.76 thf('#sk2_type', type, '#sk2': $i > $o). 1.04/0.76 thf('#sk4_type', type, '#sk4': $i). 1.04/0.76 thf('#sk3_type', type, '#sk3': $i > $o). 1.04/0.76 thf(excl_union, axiom,(( excl_union ) = 1.04/0.76 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: 1.04/0.76 ( ( ( X @ U ) & ( ~( Y @ U ) ) ) | ( ( ~( X @ U ) ) & ( Y @ U ) ) )))). 1.04/0.76 thf('0', plain, 1.04/0.76 (( excl_union ) = 1.04/0.76 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: 1.04/0.76 ( ( ( X @ U ) & ( ~( Y @ U ) ) ) | ( ( ~( X @ U ) ) & ( Y @ U ) ) ) )), 1.04/0.76 inference('simplify_rw_rule', [status(thm)], [excl_union])). 1.04/0.76 thf('1', plain, 1.04/0.76 (( excl_union ) = 1.04/0.76 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 1.04/0.76 ( ( ( V_1 @ V_3 ) & ( ~( V_2 @ V_3 ) ) ) | 1.04/0.76 ( ( ~( V_1 @ V_3 ) ) & ( V_2 @ V_3 ) ) ) )), 1.04/0.76 define([status(thm)])). 1.04/0.76 thf(thm, conjecture, 1.04/0.76 (![X:( $i > $o ),Y:( $i > $o ),Z:( $i > $o )]: 1.04/0.76 ( ( excl_union @ ( excl_union @ X @ Y ) @ Z ) = 1.04/0.76 ( excl_union @ X @ ( excl_union @ Y @ Z ) ) ))). 1.04/0.76 thf(zf_stmt_0, conjecture, 1.04/0.76 (![X4:( $i > $o ),X6:( $i > $o ),X8:( $i > $o )]: 1.04/0.76 ( ( ^[V_1:$i]: 1.04/0.76 ( ( ( X8 @ V_1 ) & 1.04/0.76 ( ~( ( ( X6 @ V_1 ) & ( ~( X4 @ V_1 ) ) ) | 1.04/0.76 ( ( ~( X6 @ V_1 ) ) & ( X4 @ V_1 ) ) ) ) ) | 1.04/0.76 ( ( ~( X8 @ V_1 ) ) & 1.04/0.76 ( ( ( X6 @ V_1 ) & ( ~( X4 @ V_1 ) ) ) | 1.04/0.76 ( ( ~( X6 @ V_1 ) ) & ( X4 @ V_1 ) ) ) ) ) ) = 1.04/0.76 ( ^[V_2:$i]: 1.04/0.76 ( ( ( ( ( X8 @ V_2 ) & ( ~( X6 @ V_2 ) ) ) | 1.04/0.76 ( ( ~( X8 @ V_2 ) ) & ( X6 @ V_2 ) ) ) & 1.04/0.76 ( ~( X4 @ V_2 ) ) ) | 1.04/0.76 ( ( ~( ( ( X8 @ V_2 ) & ( ~( X6 @ V_2 ) ) ) | 1.04/0.76 ( ( ~( X8 @ V_2 ) ) & ( X6 @ V_2 ) ) ) ) & 1.04/0.76 ( X4 @ V_2 ) ) ) ) ))). 1.04/0.76 thf(zf_stmt_1, negated_conjecture, 1.04/0.76 (~( ![X4:( $i > $o ),X6:( $i > $o ),X8:( $i > $o )]: 1.04/0.76 ( ( ^[V_1:$i]: 1.04/0.76 ( ( ( X8 @ V_1 ) & 1.04/0.76 ( ~( ( ( X6 @ V_1 ) & ( ~( X4 @ V_1 ) ) ) | 1.04/0.76 ( ( ~( X6 @ V_1 ) ) & ( X4 @ V_1 ) ) ) ) ) | 1.04/0.76 ( ( ~( X8 @ V_1 ) ) & 1.04/0.76 ( ( ( X6 @ V_1 ) & ( ~( X4 @ V_1 ) ) ) | 1.04/0.76 ( ( ~( X6 @ V_1 ) ) & ( X4 @ V_1 ) ) ) ) ) ) = 1.04/0.76 ( ^[V_2:$i]: 1.04/0.76 ( ( ( ( ( X8 @ V_2 ) & ( ~( X6 @ V_2 ) ) ) | 1.04/0.76 ( ( ~( X8 @ V_2 ) ) & ( X6 @ V_2 ) ) ) & 1.04/0.76 ( ~( X4 @ V_2 ) ) ) | 1.04/0.76 ( ( ~( ( ( X8 @ V_2 ) & ( ~( X6 @ V_2 ) ) ) | 1.04/0.76 ( ( ~( X8 @ V_2 ) ) & ( X6 @ V_2 ) ) ) ) & 1.04/0.76 ( X4 @ V_2 ) ) ) ) ) )), 1.04/0.76 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 1.04/0.76 thf(zip_derived_cl0, plain, 1.04/0.76 (~ (((!!) @ (^[Y0 : $i > $o]: 1.04/0.76 (((!!) @ (^[Y1 : $i > $o]: 1.04/0.76 (((!!) @ (^[Y2 : $i > $o]: 1.04/0.76 ((((^[Y3 : $i]: 1.04/0.76 (((((Y2 @ Y3) & 1.04/0.76 (((~) @ (((((Y1 @ Y3) & 1.04/0.76 (((~) @ ( 1.04/0.76 Y0 @ Y3))))) | 1.04/0.76 (((((~) @ ( 1.04/0.76 Y1 @ Y3))) & 1.04/0.76 (Y0 @ Y3))))))))) | 1.04/0.76 (((((~) @ (Y2 @ Y3))) & 1.04/0.76 (((((Y1 @ Y3) & 1.04/0.76 (((~) @ (Y0 @ Y3))))) | 1.04/0.76 (((((~) @ (Y1 @ Y3))) & 1.04/0.76 (Y0 @ Y3))))))))))) = 1.04/0.76 ((^[Y3 : $i]: 1.04/0.76 (((((((((Y2 @ Y3) & 1.04/0.76 (((~) @ (Y1 @ Y3))))) | 1.04/0.76 (((((~) @ (Y2 @ Y3))) & 1.04/0.76 (Y1 @ Y3))))) & 1.04/0.76 (((~) @ (Y0 @ Y3))))) | 1.04/0.76 (((((~) @ (((((Y2 @ Y3) & 1.04/0.76 (((~) @ ( 1.04/0.76 Y1 @ Y3))))) | 1.04/0.76 (((((~) @ ( 1.04/0.76 Y2 @ Y3))) & 1.04/0.76 (Y1 @ Y3))))))) & 1.04/0.76 (Y0 @ Y3))))))))))))))))))), 1.04/0.76 inference('cnf', [status(esa)], [zf_stmt_1])). 1.04/0.76 thf(zip_derived_cl1, plain, 1.04/0.76 (~ (((!!) @ (^[Y0 : $i > $o]: 1.04/0.76 (((!!) @ (^[Y1 : $i > $o]: 1.04/0.76 ((((^[Y2 : $i]: 1.04/0.76 (((((Y1 @ Y2) & 1.04/0.76 (((~) @ (((((Y0 @ Y2) & 1.04/0.76 (((~) @ ('#sk1' @ Y2))))) | 1.04/0.76 (((((~) @ (Y0 @ Y2))) & 1.04/0.76 ('#sk1' @ Y2))))))))) | 1.04/0.76 (((((~) @ (Y1 @ Y2))) & 1.04/0.76 (((((Y0 @ Y2) & 1.04/0.76 (((~) @ ('#sk1' @ Y2))))) | 1.04/0.76 (((((~) @ (Y0 @ Y2))) & ('#sk1' @ 1.04/0.76 Y2))))))))))) = 1.04/0.76 ((^[Y2 : $i]: 1.04/0.76 (((((((((Y1 @ Y2) & (((~) @ (Y0 @ Y2))))) | 1.04/0.76 (((((~) @ (Y1 @ Y2))) & (Y0 @ Y2))))) & 1.04/0.76 (((~) @ ('#sk1' @ Y2))))) | 1.04/0.76 (((((~) @ (((((Y1 @ Y2) & 1.04/0.76 (((~) @ (Y0 @ Y2))))) | 1.04/0.76 (((((~) @ (Y1 @ Y2))) & 1.04/0.76 (Y0 @ Y2))))))) & 1.04/0.76 ('#sk1' @ Y2)))))))))))))))), 1.04/0.76 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 1.04/0.76 thf(zip_derived_cl2, plain, 1.04/0.76 (~ (((!!) @ (^[Y0 : $i > $o]: 1.04/0.76 ((((^[Y1 : $i]: 1.04/0.76 (((((Y0 @ Y1) & 1.04/0.76 (((~) @ ((((('#sk2' @ Y1) & 1.04/0.76 (((~) @ ('#sk1' @ Y1))))) | 1.04/0.76 (((((~) @ ('#sk2' @ Y1))) & ('#sk1' @ 1.04/0.76 Y1))))))))) | 1.04/0.76 (((((~) @ (Y0 @ Y1))) & 1.04/0.76 ((((('#sk2' @ Y1) & (((~) @ ('#sk1' @ Y1))))) | 1.04/0.76 (((((~) @ ('#sk2' @ Y1))) & ('#sk1' @ Y1))))))))))) = 1.04/0.76 ((^[Y1 : $i]: 1.04/0.76 (((((((((Y0 @ Y1) & (((~) @ ('#sk2' @ Y1))))) | 1.04/0.76 (((((~) @ (Y0 @ Y1))) & ('#sk2' @ Y1))))) & 1.04/0.76 (((~) @ ('#sk1' @ Y1))))) | 1.04/0.76 (((((~) @ (((((Y0 @ Y1) & (((~) @ ('#sk2' @ Y1))))) | 1.04/0.76 (((((~) @ (Y0 @ Y1))) & ('#sk2' @ Y1))))))) & 1.04/0.76 ('#sk1' @ Y1))))))))))))), 1.04/0.76 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 1.04/0.76 thf(zip_derived_cl3, plain, 1.04/0.76 (~ ((((^[Y0 : $i]: 1.04/0.76 ((((('#sk3' @ Y0) & 1.04/0.76 (((~) @ ((((('#sk2' @ Y0) & (((~) @ ('#sk1' @ Y0))))) | 1.04/0.76 (((((~) @ ('#sk2' @ Y0))) & ('#sk1' @ Y0))))))))) | 1.04/0.76 (((((~) @ ('#sk3' @ Y0))) & 1.04/0.76 ((((('#sk2' @ Y0) & (((~) @ ('#sk1' @ Y0))))) | 1.04/0.76 (((((~) @ ('#sk2' @ Y0))) & ('#sk1' @ Y0))))))))))) = 1.04/0.76 ((^[Y0 : $i]: 1.04/0.76 ((((((((('#sk3' @ Y0) & (((~) @ ('#sk2' @ Y0))))) | 1.04/0.76 (((((~) @ ('#sk3' @ Y0))) & ('#sk2' @ Y0))))) & 1.04/0.76 (((~) @ ('#sk1' @ Y0))))) | 1.04/0.76 (((((~) @ ((((('#sk3' @ Y0) & (((~) @ ('#sk2' @ Y0))))) | 1.04/0.76 (((((~) @ ('#sk3' @ Y0))) & ('#sk2' @ Y0))))))) & 1.04/0.76 ('#sk1' @ Y0)))))))))), 1.04/0.76 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 1.04/0.76 thf(zip_derived_cl4, plain, 1.04/0.76 ((((^[Y0 : $i]: 1.04/0.76 ((((('#sk3' @ Y0) & 1.04/0.76 (((~) @ ((((('#sk2' @ Y0) & (((~) @ ('#sk1' @ Y0))))) | 1.04/0.76 (((((~) @ ('#sk2' @ Y0))) & ('#sk1' @ Y0))))))))) | 1.04/0.76 (((((~) @ ('#sk3' @ Y0))) & 1.04/0.76 ((((('#sk2' @ Y0) & (((~) @ ('#sk1' @ Y0))))) | 1.04/0.76 (((((~) @ ('#sk2' @ Y0))) & ('#sk1' @ Y0))))))))))) 1.04/0.76 != ((^[Y0 : $i]: 1.04/0.76 ((((((((('#sk3' @ Y0) & (((~) @ ('#sk2' @ Y0))))) | 1.04/0.76 (((((~) @ ('#sk3' @ Y0))) & ('#sk2' @ Y0))))) & 1.04/0.76 (((~) @ ('#sk1' @ Y0))))) | 1.04/0.76 (((((~) @ ((((('#sk3' @ Y0) & (((~) @ ('#sk2' @ Y0))))) | 1.04/0.76 (((((~) @ ('#sk3' @ Y0))) & ('#sk2' @ Y0))))))) & 1.04/0.76 ('#sk1' @ Y0))))))))), 1.04/0.76 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])). 1.04/0.76 thf(zip_derived_cl5, plain, 1.04/0.76 ((((((('#sk3' @ '#sk4') & 1.04/0.76 (((~) @ ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))))) | 1.04/0.76 (((((~) @ ('#sk3' @ '#sk4'))) & 1.04/0.76 ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))))) 1.04/0.76 != ((((((((('#sk3' @ '#sk4') & (((~) @ ('#sk2' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk3' @ '#sk4'))) & ('#sk2' @ '#sk4'))))) & 1.04/0.76 (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ((((('#sk3' @ '#sk4') & (((~) @ ('#sk2' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk3' @ '#sk4'))) & ('#sk2' @ '#sk4'))))))) & 1.04/0.76 ('#sk1' @ '#sk4'))))))), 1.04/0.76 inference('neg_ext', [status(thm)], [zip_derived_cl4])). 1.04/0.76 thf(zip_derived_cl5, plain, 1.04/0.76 ((((((('#sk3' @ '#sk4') & 1.04/0.76 (((~) @ ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))))) | 1.04/0.76 (((((~) @ ('#sk3' @ '#sk4'))) & 1.04/0.76 ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))))) 1.04/0.76 != ((((((((('#sk3' @ '#sk4') & (((~) @ ('#sk2' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk3' @ '#sk4'))) & ('#sk2' @ '#sk4'))))) & 1.04/0.76 (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ((((('#sk3' @ '#sk4') & (((~) @ ('#sk2' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk3' @ '#sk4'))) & ('#sk2' @ '#sk4'))))))) & 1.04/0.76 ('#sk1' @ '#sk4'))))))), 1.04/0.76 inference('neg_ext', [status(thm)], [zip_derived_cl4])). 1.04/0.76 thf(zip_derived_cl8, plain, 1.04/0.76 (( ('#sk3' @ '#sk4') 1.04/0.76 | (((((($false) & 1.04/0.76 (((~) @ ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))))) | 1.04/0.76 (((((~) @ ($false))) & 1.04/0.76 ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))))) 1.04/0.76 != ((((((((($false) & (((~) @ ('#sk2' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ($false))) & ('#sk2' @ '#sk4'))))) & 1.04/0.76 (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ((((($false) & (((~) @ ('#sk2' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ($false))) & ('#sk2' @ '#sk4'))))))) & 1.04/0.76 ('#sk1' @ '#sk4')))))))), 1.04/0.76 inference('bool_hoist', [status(thm)], [zip_derived_cl5])). 1.04/0.76 thf(zip_derived_cl9, plain, 1.04/0.76 (( ('#sk3' @ '#sk4') 1.04/0.76 | (((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))) 1.04/0.76 != ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4')))))))), 1.04/0.76 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl8])). 1.04/0.76 thf(zip_derived_cl10, plain, ( ('#sk3' @ '#sk4')), 1.04/0.76 inference('simplify', [status(thm)], [zip_derived_cl9])). 1.04/0.76 thf(zip_derived_cl10, plain, ( ('#sk3' @ '#sk4')), 1.04/0.76 inference('simplify', [status(thm)], [zip_derived_cl9])). 1.04/0.76 thf(zip_derived_cl10, plain, ( ('#sk3' @ '#sk4')), 1.04/0.76 inference('simplify', [status(thm)], [zip_derived_cl9])). 1.04/0.76 thf(zip_derived_cl10, plain, ( ('#sk3' @ '#sk4')), 1.04/0.76 inference('simplify', [status(thm)], [zip_derived_cl9])). 1.04/0.76 thf(zip_derived_cl10, plain, ( ('#sk3' @ '#sk4')), 1.04/0.76 inference('simplify', [status(thm)], [zip_derived_cl9])). 1.04/0.76 thf(zip_derived_cl10, plain, ( ('#sk3' @ '#sk4')), 1.04/0.76 inference('simplify', [status(thm)], [zip_derived_cl9])). 1.04/0.76 thf(zip_derived_cl11, plain, 1.04/0.76 ((((((($true) & 1.04/0.76 (((~) @ ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))))) | 1.04/0.76 (((((~) @ ($true))) & 1.04/0.76 ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))))) 1.04/0.76 != ((((((((($true) & (((~) @ ('#sk2' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ($true))) & ('#sk2' @ '#sk4'))))) & 1.04/0.76 (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ((((($true) & (((~) @ ('#sk2' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ($true))) & ('#sk2' @ '#sk4'))))))) & 1.04/0.76 ('#sk1' @ '#sk4'))))))), 1.04/0.76 inference('demod', [status(thm)], 1.04/0.76 [zip_derived_cl5, zip_derived_cl10, zip_derived_cl10, 1.04/0.76 zip_derived_cl10, zip_derived_cl10, zip_derived_cl10, 1.04/0.76 zip_derived_cl10])). 1.04/0.76 thf(zip_derived_cl12, plain, 1.04/0.76 (((((~) @ ((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))))) 1.04/0.76 != (((((((~) @ ('#sk2' @ '#sk4'))) & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 ((('#sk2' @ '#sk4') & ('#sk1' @ '#sk4'))))))), 1.04/0.76 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl11])). 1.04/0.76 thf(zip_derived_cl13, plain, 1.04/0.76 ((((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))) 1.04/0.76 = (((((((~) @ ('#sk2' @ '#sk4'))) & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 ((('#sk2' @ '#sk4') & ('#sk1' @ '#sk4'))))))), 1.04/0.76 inference('simplify nested equalities', [status(thm)], [zip_derived_cl12])). 1.04/0.76 thf(zip_derived_cl13, plain, 1.04/0.76 ((((((('#sk2' @ '#sk4') & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ('#sk2' @ '#sk4'))) & ('#sk1' @ '#sk4'))))) 1.04/0.76 = (((((((~) @ ('#sk2' @ '#sk4'))) & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 ((('#sk2' @ '#sk4') & ('#sk1' @ '#sk4'))))))), 1.04/0.76 inference('simplify nested equalities', [status(thm)], [zip_derived_cl12])). 1.04/0.76 thf(zip_derived_cl16, plain, 1.04/0.76 (( ('#sk2' @ '#sk4') 1.04/0.76 | (((((($false) & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ($false))) & ('#sk1' @ '#sk4'))))) 1.04/0.76 = (((((((~) @ ($false))) & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 ((($false) & ('#sk1' @ '#sk4')))))))), 1.04/0.76 inference('bool_hoist', [status(thm)], [zip_derived_cl13])). 1.04/0.76 thf(zip_derived_cl17, plain, 1.04/0.76 (( ('#sk2' @ '#sk4') | (('#sk1' @ '#sk4') = (((~) @ ('#sk1' @ '#sk4')))))), 1.04/0.76 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl16])). 1.04/0.76 thf(zip_derived_cl18, plain, 1.04/0.76 (( ('#sk2' @ '#sk4') | (('#sk1' @ '#sk4') != ('#sk1' @ '#sk4')))), 1.04/0.76 inference('simplify nested equalities', [status(thm)], [zip_derived_cl17])). 1.04/0.76 thf(zip_derived_cl19, plain, ( ('#sk2' @ '#sk4')), 1.04/0.76 inference('simplify', [status(thm)], [zip_derived_cl18])). 1.04/0.76 thf(zip_derived_cl19, plain, ( ('#sk2' @ '#sk4')), 1.04/0.76 inference('simplify', [status(thm)], [zip_derived_cl18])). 1.04/0.76 thf(zip_derived_cl19, plain, ( ('#sk2' @ '#sk4')), 1.04/0.76 inference('simplify', [status(thm)], [zip_derived_cl18])). 1.04/0.76 thf(zip_derived_cl19, plain, ( ('#sk2' @ '#sk4')), 1.04/0.76 inference('simplify', [status(thm)], [zip_derived_cl18])). 1.04/0.76 thf(zip_derived_cl20, plain, 1.04/0.76 ((((((($true) & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 (((((~) @ ($true))) & ('#sk1' @ '#sk4'))))) 1.04/0.76 = (((((((~) @ ($true))) & (((~) @ ('#sk1' @ '#sk4'))))) | 1.04/0.76 ((($true) & ('#sk1' @ '#sk4'))))))), 1.04/0.76 inference('demod', [status(thm)], 1.04/0.76 [zip_derived_cl13, zip_derived_cl19, zip_derived_cl19, 1.04/0.76 zip_derived_cl19, zip_derived_cl19])). 1.04/0.76 thf(zip_derived_cl21, plain, 1.04/0.76 (((((~) @ ('#sk1' @ '#sk4'))) = ('#sk1' @ '#sk4'))), 1.04/0.76 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl20])). 1.04/0.76 thf(zip_derived_cl22, plain, ((('#sk1' @ '#sk4') != ('#sk1' @ '#sk4'))), 1.04/0.76 inference('simplify nested equalities', [status(thm)], [zip_derived_cl21])). 1.04/0.76 thf(zip_derived_cl23, plain, ($false), 1.04/0.76 inference('simplify', [status(thm)], [zip_derived_cl22])). 1.04/0.76 1.04/0.76 % SZS output end Refutation 1.04/0.76 1.04/0.76 1.04/0.76 % Terminating... 1.10/0.83 % Runner terminated. 1.10/0.84 % Zipperpin 1.5 exiting 1.10/0.84 EOF