0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5bGVIglFsk true 0.10/0.31 % Computer : n007.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 1920 0.10/0.31 % WCLimit : 240 0.10/0.31 % DateTime : Wed Jul 30 02:05:04 EDT 2025 0.10/0.31 % CPUTime : 0.10/0.31 % Running portfolio for 1920 s 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.31 % Number of cores: 8 0.16/0.31 % Python version: Python 3.6.8 0.16/0.31 % Running in HO mode 0.44/0.60 % Total configuration time : 828 0.44/0.60 % Estimated wc time : 1656 0.44/0.60 % Estimated cpu time (8 cpus) : 207.0 0.47/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.47/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.47/0.68 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.47/0.68 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.47/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.49/0.68 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.49/0.68 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.49/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.49/0.76 % Solved by lams/30_sp5.sh. 0.49/0.76 % done 22 iterations in 0.046s 0.49/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.49/0.76 % SZS output start Refutation 0.49/0.76 thf('#sk6_type', type, '#sk6': $i). 0.49/0.76 thf('#sk1_type', type, '#sk1': $i > $o). 0.49/0.76 thf('#sk7_type', type, '#sk7': $i). 0.49/0.76 thf('#sk2_type', type, '#sk2': $i > $o). 0.49/0.76 thf(union_type, type, union: ($i > $o) > ($i > $o) > $i > $o). 0.49/0.76 thf('#sk3_type', type, '#sk3': $i > $i). 0.49/0.76 thf('#sk4_type', type, '#sk4': $i). 0.49/0.76 thf('#form5_type', type, '#form5': $o). 0.49/0.76 thf('#sk8_type', type, '#sk8': $i). 0.49/0.76 thf(fun_image_type, type, fun_image: ($i > $i) > ($i > $o) > $i > $o). 0.49/0.76 thf(fun_image, axiom,(( fun_image ) = 0.49/0.76 (^[F:( $i > $i ),A:( $i > $o ),Y:$i]: 0.49/0.76 ( ?[X:$i]: ( ( ( Y ) = ( F @ X ) ) & ( A @ X ) ) )))). 0.49/0.76 thf('0', plain, 0.49/0.76 (( fun_image ) = 0.49/0.76 ( ^[F:( $i > $i ),A:( $i > $o ),Y:$i]: 0.49/0.76 ( ?[X:$i]: ( ( ( Y ) = ( F @ X ) ) & ( A @ X ) ) ) )), 0.49/0.76 inference('simplify_rw_rule', [status(thm)], [fun_image])). 0.49/0.76 thf('1', plain, 0.49/0.76 (( fun_image ) = 0.49/0.76 ( ^[V_1:( $i > $i ),V_2:( $i > $o ),V_3:$i]: 0.49/0.76 ( ?[X4:$i]: ( ( ( V_3 ) = ( V_1 @ X4 ) ) & ( V_2 @ X4 ) ) ) )), 0.49/0.76 define([status(thm)])). 0.49/0.76 thf(union, axiom,(( union ) = 0.49/0.76 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) )))). 0.49/0.76 thf('2', plain, 0.49/0.76 (( union ) = 0.49/0.76 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) ) )), 0.49/0.76 inference('simplify_rw_rule', [status(thm)], [union])). 0.49/0.76 thf('3', plain, 0.49/0.76 (( union ) = 0.49/0.76 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 0.49/0.76 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )), 0.49/0.76 define([status(thm)])). 0.49/0.76 thf(thm, conjecture, 0.49/0.76 (![X:( $i > $o ),Y:( $i > $o ),F:( $i > $i )]: 0.49/0.76 ( ( fun_image @ F @ ( union @ X @ Y ) ) = 0.49/0.76 ( union @ ( fun_image @ F @ X ) @ ( fun_image @ F @ Y ) ) ))). 0.49/0.76 thf(zf_stmt_0, conjecture, 0.49/0.76 (![X4:( $i > $o ),X6:( $i > $o ),X8:( $i > $i )]: 0.49/0.76 ( ( ^[V_1:$i]: 0.49/0.76 ( ?[X10:$i]: 0.49/0.76 ( ( ( X6 @ X10 ) | ( X4 @ X10 ) ) & ( ( V_1 ) = ( X8 @ X10 ) ) ) ) ) = 0.49/0.76 ( ^[V_2:$i]: 0.49/0.76 ( ( ?[X14:$i]: ( ( X6 @ X14 ) & ( ( V_2 ) = ( X8 @ X14 ) ) ) ) | 0.49/0.76 ( ?[X12:$i]: ( ( X4 @ X12 ) & ( ( V_2 ) = ( X8 @ X12 ) ) ) ) ) ) ))). 0.49/0.76 thf(zf_stmt_1, negated_conjecture, 0.49/0.76 (~( ![X4:( $i > $o ),X6:( $i > $o ),X8:( $i > $i )]: 0.49/0.76 ( ( ^[V_1:$i]: 0.49/0.76 ( ?[X10:$i]: 0.49/0.76 ( ( ( X6 @ X10 ) | ( X4 @ X10 ) ) & ( ( V_1 ) = ( X8 @ X10 ) ) ) ) ) = 0.49/0.76 ( ^[V_2:$i]: 0.49/0.76 ( ( ?[X14:$i]: ( ( X6 @ X14 ) & ( ( V_2 ) = ( X8 @ X14 ) ) ) ) | 0.49/0.76 ( ?[X12:$i]: ( ( X4 @ X12 ) & ( ( V_2 ) = ( X8 @ X12 ) ) ) ) ) ) ) )), 0.49/0.76 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 0.49/0.76 thf(zip_derived_cl0, plain, 0.49/0.76 (~ (((!!) @ (^[Y0 : $i > $o]: 0.49/0.76 (((!!) @ (^[Y1 : $i > $o]: 0.49/0.76 (((!!) @ (^[Y2 : $i > $i]: 0.49/0.76 ((((^[Y3 : $i]: 0.49/0.76 (((??) @ (^[Y4 : $i]: 0.49/0.76 (((((Y1 @ Y4) | 0.49/0.76 (Y0 @ Y4))) & 0.49/0.76 (((Y3) = 0.49/0.76 (Y2 @ Y4)))))))))) = 0.49/0.76 ((^[Y3 : $i]: 0.49/0.76 (((((??) @ (^[Y4 : $i]: 0.49/0.76 (((Y1 @ Y4) & 0.49/0.76 (((Y3) = 0.49/0.76 (Y2 @ Y4)))))))) | 0.49/0.76 (((??) @ (^[Y4 : $i]: 0.49/0.76 (((Y0 @ Y4) & 0.49/0.76 (((Y3) = 0.49/0.76 (Y2 @ Y4)))))))))))))))))))))))), 0.49/0.76 inference('cnf', [status(esa)], [zf_stmt_1])). 0.49/0.76 thf(zip_derived_cl1, plain, 0.49/0.76 (~ (((!!) @ (^[Y0 : $i > $o]: 0.49/0.76 (((!!) @ (^[Y1 : $i > $i]: 0.49/0.76 ((((^[Y2 : $i]: 0.49/0.76 (((??) @ (^[Y3 : $i]: 0.49/0.76 (((((Y0 @ Y3) | ('#sk1' @ 0.49/0.76 Y3))) & 0.49/0.76 (((Y2) = (Y1 @ Y3)))))))))) = 0.49/0.76 ((^[Y2 : $i]: 0.49/0.76 (((((??) @ (^[Y3 : $i]: 0.49/0.76 (((Y0 @ Y3) & 0.49/0.76 (((Y2) = (Y1 @ Y3)))))))) | 0.49/0.76 (((??) @ (^[Y3 : $i]: 0.49/0.76 ((('#sk1' @ Y3) & 0.49/0.76 (((Y2) = (Y1 @ Y3))))))))))))))))))))), 0.49/0.76 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 0.49/0.76 thf(zip_derived_cl2, plain, 0.49/0.76 (~ (((!!) @ (^[Y0 : $i > $i]: 0.49/0.76 ((((^[Y1 : $i]: 0.49/0.76 (((??) @ (^[Y2 : $i]: 0.49/0.76 ((((('#sk2' @ Y2) | ('#sk1' @ Y2))) & 0.49/0.76 (((Y1) = (Y0 @ Y2)))))))))) = 0.49/0.76 ((^[Y1 : $i]: 0.49/0.76 (((((??) @ (^[Y2 : $i]: 0.49/0.76 ((('#sk2' @ Y2) & (((Y1) = (Y0 @ Y2)))))))) | 0.49/0.76 (((??) @ (^[Y2 : $i]: 0.49/0.76 ((('#sk1' @ Y2) & (((Y1) = (Y0 @ Y2)))))))))))))))))), 0.49/0.76 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 0.49/0.76 thf(zip_derived_cl3, plain, 0.49/0.76 (~ ((((^[Y0 : $i]: 0.49/0.76 (((??) @ (^[Y1 : $i]: 0.49/0.76 ((((('#sk2' @ Y1) | ('#sk1' @ Y1))) & 0.49/0.76 (((Y0) = ('#sk3' @ Y1)))))))))) = 0.49/0.76 ((^[Y0 : $i]: 0.49/0.76 (((((??) @ (^[Y1 : $i]: 0.49/0.76 ((('#sk2' @ Y1) & (((Y0) = ('#sk3' @ Y1)))))))) | 0.49/0.76 (((??) @ (^[Y1 : $i]: 0.49/0.76 ((('#sk1' @ Y1) & (((Y0) = ('#sk3' @ Y1))))))))))))))), 0.49/0.76 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 0.49/0.76 thf(zip_derived_cl4, plain, 0.49/0.76 ((((^[Y0 : $i]: 0.49/0.76 (((??) @ (^[Y1 : $i]: 0.49/0.76 ((((('#sk2' @ Y1) | ('#sk1' @ Y1))) & 0.49/0.76 (((Y0) = ('#sk3' @ Y1)))))))))) 0.49/0.76 != ((^[Y0 : $i]: 0.49/0.76 (((((??) @ (^[Y1 : $i]: 0.49/0.76 ((('#sk2' @ Y1) & (((Y0) = ('#sk3' @ Y1)))))))) | 0.49/0.76 (((??) @ (^[Y1 : $i]: 0.49/0.76 ((('#sk1' @ Y1) & (((Y0) = ('#sk3' @ Y1)))))))))))))), 0.49/0.76 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])). 0.49/0.76 thf(zip_derived_cl5, plain, 0.49/0.76 (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((((('#sk2' @ Y0) | ('#sk1' @ Y0))) & 0.49/0.76 ((('#sk4') = ('#sk3' @ Y0)))))))) 0.49/0.76 != (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))))), 0.49/0.76 inference('neg_ext', [status(thm)], [zip_derived_cl4])). 0.49/0.76 thf(zip_derived_cl6, plain, 0.49/0.76 (( (((??) @ (^[Y0 : $i]: 0.49/0.76 ((((('#sk2' @ Y0) | ('#sk1' @ Y0))) & 0.49/0.76 ((('#sk4') = ('#sk3' @ Y0)))))))) 0.49/0.76 | (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))))), 0.49/0.76 inference('eq_elim', [status(thm)], [zip_derived_cl5])). 0.49/0.76 thf(zip_derived_cl26, plain, 0.49/0.76 ((~ ('#form5') 0.49/0.76 | (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))))), 0.49/0.76 define([status(thm)])). 0.49/0.76 thf(zip_derived_cl27, plain, 0.49/0.76 (( (((??) @ (^[Y0 : $i]: ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) 0.49/0.76 | (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) 0.49/0.76 | ~ ('#form5'))), 0.49/0.76 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl26])). 0.49/0.76 thf(zip_derived_cl30, plain, 0.49/0.76 (( ((('#sk2' @ '#sk7') & ((('#sk4') = ('#sk3' @ '#sk7'))))) 0.49/0.76 | ~ ('#form5') 0.49/0.76 | (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))), 0.49/0.76 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl27])). 0.49/0.76 thf(zip_derived_cl33, plain, 0.49/0.76 (( ('#sk2' @ '#sk7') 0.49/0.76 | (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) 0.49/0.76 | ~ ('#form5'))), 0.49/0.76 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])). 0.49/0.76 thf(zip_derived_cl37, plain, 0.49/0.76 (( ((('#sk1' @ '#sk8') & ((('#sk4') = ('#sk3' @ '#sk8'))))) 0.49/0.76 | ~ ('#form5') 0.49/0.76 | ('#sk2' @ '#sk7'))), 0.49/0.76 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl33])). 0.49/0.76 thf(zip_derived_cl41, plain, 0.49/0.76 (( ((('#sk4') = ('#sk3' @ '#sk8'))) | ('#sk2' @ '#sk7') | ~ ('#form5'))), 0.49/0.76 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl37])). 0.49/0.76 thf(zip_derived_cl44, plain, 0.49/0.76 (((('#sk4') = ('#sk3' @ '#sk8')) | ('#sk2' @ '#sk7') | ~ ('#form5'))), 0.49/0.76 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 0.49/0.76 thf(zip_derived_cl40, plain, 0.49/0.76 (( ('#sk1' @ '#sk8') | ('#sk2' @ '#sk7') | ~ ('#form5'))), 0.49/0.76 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl37])). 0.49/0.76 thf(zip_derived_cl5, plain, 0.49/0.76 (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((((('#sk2' @ Y0) | ('#sk1' @ Y0))) & 0.49/0.76 ((('#sk4') = ('#sk3' @ Y0)))))))) 0.49/0.76 != (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))))), 0.49/0.76 inference('neg_ext', [status(thm)], [zip_derived_cl4])). 0.49/0.76 thf(zip_derived_cl7, plain, 0.49/0.76 ((~ (((??) @ (^[Y0 : $i]: 0.49/0.76 ((((('#sk2' @ Y0) | ('#sk1' @ Y0))) & 0.49/0.76 ((('#sk4') = ('#sk3' @ Y0)))))))) 0.49/0.76 | ~ (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))))), 0.49/0.76 inference('eq_elim', [status(thm)], [zip_derived_cl5])). 0.49/0.76 thf(zip_derived_cl8, plain, 0.49/0.76 (![X2 : $i]: 0.49/0.76 (~ ((((('#sk2' @ X2) | ('#sk1' @ X2))) & ((('#sk4') = ('#sk3' @ X2))))) 0.49/0.76 | ~ (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))))), 0.49/0.76 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 0.49/0.76 thf(zip_derived_cl9, plain, 0.49/0.76 (![X2 : $i]: 0.49/0.76 (~ ((('#sk2' @ X2) | ('#sk1' @ X2))) 0.49/0.76 | ~ ((('#sk4') = ('#sk3' @ X2))) 0.49/0.76 | ~ (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))))), 0.49/0.76 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl8])). 0.49/0.76 thf(zip_derived_cl10, plain, 0.49/0.76 (![X2 : $i]: 0.49/0.76 (~ ((('#sk2' @ X2) | ('#sk1' @ X2))) 0.49/0.76 | (('#sk4') != ('#sk3' @ X2)) 0.49/0.76 | ~ (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))))), 0.49/0.76 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 0.49/0.76 thf(zip_derived_cl11, plain, 0.49/0.76 (![X2 : $i]: 0.49/0.76 (~ ('#sk2' @ X2) 0.49/0.76 | ~ (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))) 0.49/0.76 | (('#sk4') != ('#sk3' @ X2)))), 0.49/0.76 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl10])). 0.49/0.76 thf(zip_derived_cl13, plain, 0.49/0.76 (( ('#form5') 0.49/0.76 | ~ (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))))), 0.49/0.76 define([status(thm)])). 0.49/0.76 thf(zip_derived_cl14, plain, 0.49/0.76 ((~ (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) 0.49/0.76 | ('#form5'))), 0.49/0.76 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])). 0.49/0.76 thf(zip_derived_cl18, plain, 0.49/0.76 (![X2 : $i]: 0.49/0.76 (~ ((('#sk2' @ X2) & ((('#sk4') = ('#sk3' @ X2))))) | ('#form5'))), 0.49/0.76 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 0.49/0.76 thf(zip_derived_cl20, plain, 0.49/0.76 (![X2 : $i]: 0.49/0.76 (~ ('#sk2' @ X2) | ~ ((('#sk4') = ('#sk3' @ X2))) | ('#form5'))), 0.49/0.76 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 0.49/0.76 thf(zip_derived_cl22, plain, 0.49/0.76 (![X2 : $i]: 0.49/0.76 (~ ('#sk2' @ X2) | (('#sk4') != ('#sk3' @ X2)) | ('#form5'))), 0.49/0.76 inference('simplify nested equalities', [status(thm)], [zip_derived_cl20])). 0.49/0.76 thf(zip_derived_cl11, plain, 0.49/0.76 (![X2 : $i]: 0.49/0.76 (~ ('#sk2' @ X2) 0.49/0.76 | ~ (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))) 0.49/0.76 | (('#sk4') != ('#sk3' @ X2)))), 0.49/0.76 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl10])). 0.49/0.76 thf(zip_derived_cl13, plain, 0.49/0.76 (( ('#form5') 0.49/0.76 | ~ (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))))), 0.49/0.76 define([status(thm)])). 0.49/0.76 thf(zip_derived_cl16, plain, 0.49/0.76 (![X2 : $i]: 0.49/0.76 (~ ('#form5') | (('#sk4') != ('#sk3' @ X2)) | ~ ('#sk2' @ X2))), 0.49/0.76 inference('renaming', [status(thm)], [zip_derived_cl11, zip_derived_cl13])). 0.49/0.76 thf(zip_derived_cl24, plain, 0.49/0.76 (![X2 : $i]: ((('#sk4') != ('#sk3' @ X2)) | ~ ('#sk2' @ X2))), 0.49/0.76 inference('clc', [status(thm)], [zip_derived_cl22, zip_derived_cl16])). 0.49/0.76 thf(zip_derived_cl50, plain, 0.49/0.76 ((~ ('#form5') | ('#sk1' @ '#sk8') | (('#sk4') != ('#sk3' @ '#sk7')))), 0.49/0.76 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl24])). 0.49/0.76 thf(zip_derived_cl34, plain, 0.49/0.76 (( ((('#sk4') = ('#sk3' @ '#sk7'))) 0.49/0.76 | (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) 0.49/0.76 | ~ ('#form5'))), 0.49/0.76 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])). 0.49/0.76 thf(zip_derived_cl38, plain, 0.49/0.76 (((('#sk4') = ('#sk3' @ '#sk7')) 0.49/0.76 | (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) 0.49/0.76 | ~ ('#form5'))), 0.49/0.76 inference('simplify nested equalities', [status(thm)], [zip_derived_cl34])). 0.49/0.76 thf(zip_derived_cl39, plain, 0.49/0.76 (( ((('#sk1' @ '#sk8') & ((('#sk4') = ('#sk3' @ '#sk8'))))) 0.49/0.76 | ~ ('#form5') 0.49/0.76 | (('#sk4') = ('#sk3' @ '#sk7')))), 0.49/0.76 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl38])). 0.49/0.76 thf(zip_derived_cl42, plain, 0.49/0.76 (( ('#sk1' @ '#sk8') | (('#sk4') = ('#sk3' @ '#sk7')) | ~ ('#form5'))), 0.49/0.76 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl39])). 0.49/0.76 thf(zip_derived_cl58, plain, (( ('#sk1' @ '#sk8') | ~ ('#form5'))), 0.49/0.76 inference('clc', [status(thm)], [zip_derived_cl50, zip_derived_cl42])). 0.49/0.76 thf(zip_derived_cl15, plain, 0.49/0.76 ((~ (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) 0.49/0.76 | ('#form5'))), 0.49/0.76 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])). 0.49/0.76 thf(zip_derived_cl19, plain, 0.49/0.76 (![X2 : $i]: 0.49/0.76 (~ ((('#sk1' @ X2) & ((('#sk4') = ('#sk3' @ X2))))) | ('#form5'))), 0.49/0.76 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])). 0.49/0.76 thf(zip_derived_cl21, plain, 0.49/0.76 (![X2 : $i]: 0.49/0.76 (~ ('#sk1' @ X2) | ~ ((('#sk4') = ('#sk3' @ X2))) | ('#form5'))), 0.49/0.76 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])). 0.49/0.76 thf(zip_derived_cl23, plain, 0.49/0.76 (![X2 : $i]: 0.49/0.76 (~ ('#sk1' @ X2) | (('#sk4') != ('#sk3' @ X2)) | ('#form5'))), 0.49/0.76 inference('simplify nested equalities', [status(thm)], [zip_derived_cl21])). 0.49/0.76 thf(zip_derived_cl12, plain, 0.49/0.76 (![X2 : $i]: 0.49/0.76 (~ ('#sk1' @ X2) 0.49/0.76 | ~ (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))) 0.49/0.76 | (('#sk4') != ('#sk3' @ X2)))), 0.49/0.76 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl10])). 0.49/0.76 thf(zip_derived_cl13, plain, 0.49/0.76 (( ('#form5') 0.49/0.76 | ~ (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))))), 0.49/0.76 define([status(thm)])). 0.49/0.76 thf(zip_derived_cl17, plain, 0.49/0.76 (![X2 : $i]: 0.49/0.76 (~ ('#form5') | (('#sk4') != ('#sk3' @ X2)) | ~ ('#sk1' @ X2))), 0.49/0.76 inference('renaming', [status(thm)], [zip_derived_cl12, zip_derived_cl13])). 0.49/0.76 thf(zip_derived_cl25, plain, 0.49/0.76 (![X2 : $i]: ((('#sk4') != ('#sk3' @ X2)) | ~ ('#sk1' @ X2))), 0.49/0.76 inference('clc', [status(thm)], [zip_derived_cl23, zip_derived_cl17])). 0.49/0.76 thf(zip_derived_cl59, plain, 0.49/0.76 ((~ ('#form5') | (('#sk4') != ('#sk3' @ '#sk8')))), 0.49/0.76 inference('sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl25])). 0.49/0.76 thf(zip_derived_cl61, plain, 0.49/0.76 (((('#sk4') != ('#sk4')) 0.49/0.76 | ~ ('#form5') 0.49/0.76 | ('#sk2' @ '#sk7') 0.49/0.76 | ~ ('#form5'))), 0.49/0.76 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl59])). 0.49/0.76 thf(zip_derived_cl63, plain, (( ('#sk2' @ '#sk7') | ~ ('#form5'))), 0.49/0.76 inference('simplify', [status(thm)], [zip_derived_cl61])). 0.49/0.76 thf(zip_derived_cl24, plain, 0.49/0.76 (![X2 : $i]: ((('#sk4') != ('#sk3' @ X2)) | ~ ('#sk2' @ X2))), 0.49/0.76 inference('clc', [status(thm)], [zip_derived_cl22, zip_derived_cl16])). 0.49/0.76 thf(zip_derived_cl65, plain, 0.49/0.76 ((~ ('#form5') | (('#sk4') != ('#sk3' @ '#sk7')))), 0.49/0.76 inference('sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl24])). 0.49/0.76 thf(zip_derived_cl6, plain, 0.49/0.76 (( (((??) @ (^[Y0 : $i]: 0.49/0.76 ((((('#sk2' @ Y0) | ('#sk1' @ Y0))) & 0.49/0.76 ((('#sk4') = ('#sk3' @ Y0)))))))) 0.49/0.76 | (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))))), 0.49/0.76 inference('eq_elim', [status(thm)], [zip_derived_cl5])). 0.49/0.76 thf(zip_derived_cl26, plain, 0.49/0.76 ((~ ('#form5') 0.49/0.76 | (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))))), 0.49/0.76 define([status(thm)])). 0.49/0.76 thf(zip_derived_cl13, plain, 0.49/0.76 (( ('#form5') 0.49/0.76 | ~ (((((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk2' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))) | 0.49/0.76 (((??) @ (^[Y0 : $i]: 0.49/0.76 ((('#sk1' @ Y0) & ((('#sk4') = ('#sk3' @ Y0)))))))))))), 0.49/0.76 define([status(thm)])). 0.49/0.76 thf(zip_derived_cl28, plain, 0.49/0.76 (( ('#form5') 0.49/0.76 | (((??) @ (^[Y0 : $i]: 0.49/0.76 ((((('#sk2' @ Y0) | ('#sk1' @ Y0))) & 0.49/0.76 ((('#sk4') = ('#sk3' @ Y0)))))))))), 0.49/0.76 inference('renaming', [status(thm)], 0.49/0.76 [zip_derived_cl6, zip_derived_cl26, zip_derived_cl13])). 0.49/0.76 thf(zip_derived_cl29, plain, 0.49/0.76 (( ((((('#sk2' @ '#sk6') | ('#sk1' @ '#sk6'))) & 0.49/0.76 ((('#sk4') = ('#sk3' @ '#sk6'))))) 0.49/0.76 | ('#form5'))), 0.49/0.76 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl28])). 0.49/0.76 thf(zip_derived_cl31, plain, 0.49/0.76 (( ((('#sk2' @ '#sk6') | ('#sk1' @ '#sk6'))) | ('#form5'))), 0.49/0.76 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl29])). 0.49/0.76 thf(zip_derived_cl35, plain, 0.49/0.76 (( ('#sk2' @ '#sk6') | ('#sk1' @ '#sk6') | ('#form5'))), 0.49/0.76 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl31])). 0.49/0.76 thf(zip_derived_cl25, plain, 0.49/0.76 (![X2 : $i]: ((('#sk4') != ('#sk3' @ X2)) | ~ ('#sk1' @ X2))), 0.49/0.76 inference('clc', [status(thm)], [zip_derived_cl23, zip_derived_cl17])). 0.49/0.76 thf(zip_derived_cl46, plain, 0.49/0.76 (( ('#form5') | ('#sk2' @ '#sk6') | (('#sk4') != ('#sk3' @ '#sk6')))), 0.49/0.76 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl25])). 0.49/0.76 thf(zip_derived_cl24, plain, 0.49/0.76 (![X2 : $i]: ((('#sk4') != ('#sk3' @ X2)) | ~ ('#sk2' @ X2))), 0.49/0.76 inference('clc', [status(thm)], [zip_derived_cl22, zip_derived_cl16])). 0.49/0.76 thf(zip_derived_cl67, plain, 0.49/0.76 (((('#sk4') != ('#sk3' @ '#sk6')) | ('#form5'))), 0.49/0.76 inference('clc', [status(thm)], [zip_derived_cl46, zip_derived_cl24])). 0.49/0.76 thf(zip_derived_cl32, plain, 0.49/0.76 (( ((('#sk4') = ('#sk3' @ '#sk6'))) | ('#form5'))), 0.49/0.76 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl29])). 0.49/0.76 thf(zip_derived_cl36, plain, 0.49/0.76 (((('#sk4') = ('#sk3' @ '#sk6')) | ('#form5'))), 0.49/0.76 inference('simplify nested equalities', [status(thm)], [zip_derived_cl32])). 0.49/0.76 thf(zip_derived_cl68, plain, ( ('#form5')), 0.49/0.76 inference('clc', [status(thm)], [zip_derived_cl67, zip_derived_cl36])). 0.49/0.76 thf(zip_derived_cl72, plain, ((('#sk4') != ('#sk3' @ '#sk7'))), 0.49/0.76 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl68])). 0.49/0.76 thf(zip_derived_cl43, plain, 0.49/0.76 (( ((('#sk4') = ('#sk3' @ '#sk8'))) 0.49/0.76 | (('#sk4') = ('#sk3' @ '#sk7')) 0.49/0.76 | ~ ('#form5'))), 0.49/0.76 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl39])). 0.49/0.76 thf(zip_derived_cl45, plain, 0.49/0.76 (((('#sk4') = ('#sk3' @ '#sk8')) 0.49/0.76 | (('#sk4') = ('#sk3' @ '#sk7')) 0.49/0.76 | ~ ('#form5'))), 0.49/0.76 inference('simplify nested equalities', [status(thm)], [zip_derived_cl43])). 0.49/0.76 thf(zip_derived_cl68, plain, ( ('#form5')), 0.49/0.76 inference('clc', [status(thm)], [zip_derived_cl67, zip_derived_cl36])). 0.49/0.76 thf(zip_derived_cl75, plain, 0.49/0.76 (((('#sk4') = ('#sk3' @ '#sk8')) | (('#sk4') = ('#sk3' @ '#sk7')))), 0.49/0.76 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl68])). 0.49/0.76 thf(zip_derived_cl59, plain, 0.49/0.76 ((~ ('#form5') | (('#sk4') != ('#sk3' @ '#sk8')))), 0.49/0.76 inference('sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl25])). 0.49/0.76 thf(zip_derived_cl68, plain, ( ('#form5')), 0.49/0.76 inference('clc', [status(thm)], [zip_derived_cl67, zip_derived_cl36])). 0.49/0.76 thf(zip_derived_cl70, plain, ((('#sk4') != ('#sk3' @ '#sk8'))), 0.49/0.76 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl68])). 0.49/0.76 thf(zip_derived_cl76, plain, ((('#sk4') = ('#sk3' @ '#sk7'))), 0.49/0.76 inference('simplify_reflect-', [status(thm)], 0.49/0.76 [zip_derived_cl75, zip_derived_cl70])). 0.49/0.76 thf(zip_derived_cl77, plain, ((('#sk4') != ('#sk4'))), 0.49/0.76 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl76])). 0.49/0.76 thf(zip_derived_cl78, plain, ($false), 0.49/0.76 inference('simplify', [status(thm)], [zip_derived_cl77])). 0.49/0.76 0.49/0.76 % SZS output end Refutation 0.49/0.76 0.49/0.76 0.49/0.76 % Terminating... 1.63/0.82 % Runner terminated. 1.63/0.83 % Zipperpin 1.5 exiting 1.63/0.84 EOF