0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4I4fh3IqXC true 0.11/0.32 % Computer : n021.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1200 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Tue Jul 13 14:50:56 EDT 2021 0.11/0.32 % CPUTime : 0.11/0.32 % Running portfolio for 120 s 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.33 % Number of cores: 8 0.18/0.33 % Python version: Python 3.6.8 0.18/0.33 % Running in HO mode 0.51/0.63 % Total configuration time : 828 0.51/0.63 % Estimated wc time : 983 0.51/0.63 % Estimated cpu time (8 cpus) : 122.875 0.52/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.52/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.52/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.52/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.52/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.52/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.52/0.72 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.52/0.72 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 33.47/4.81 % Solved by lams/20_acsne_simpl.sh. 33.47/4.81 % running E: timeout 13 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.4I4fh3IqXC/e_inputa43631 --cpu-limit=11 --auto -s -p 33.47/4.81 % done 443 iterations in 4.016s 33.47/4.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 33.47/4.81 % SZS output start Refutation 33.47/4.81 thf(a_type, type, a: $tType). 33.47/4.81 thf('#sk3_type', type, '#sk3': a > $o). 33.47/4.81 thf('#sk68_type', type, '#sk68': (a > a) > a > a). 33.47/4.81 thf('#sk12_type', type, '#sk12': (a > a) > a). 33.47/4.81 thf('#sk4_type', type, '#sk4': a > a). 33.47/4.81 thf('#l_lift15391_type', type, '#l_lift15391': (a > a) > a > a). 33.47/4.81 thf('#sk1_type', type, '#sk1': a > $o). 33.47/4.81 thf('#sk25_type', type, '#sk25': a > a). 33.47/4.81 thf('#sk2_type', type, '#sk2': a > $o). 33.47/4.81 thf('#sk20_type', type, '#sk20': (a > a) > a). 33.47/4.81 thf('#sk24_type', type, '#sk24': a > a). 33.47/4.81 thf('#sk5_type', type, '#sk5': a > a). 33.47/4.81 thf(cEQP1_1C_pme, conjecture, 33.47/4.81 (![Xx:( a > $o ),Xy:( a > $o ),Xz:( a > $o )]: 33.47/4.81 ( ( ( ?[Xs:( a > a )]: 33.47/4.81 ( ( ![Xy0:a]: 33.47/4.81 ( ( Xz @ Xy0 ) => 33.47/4.81 ( ?[Xx0:a]: 33.47/4.81 ( ( Xy @ Xx0 ) & ( ( Xy0 ) = ( Xs @ Xx0 ) ) & 33.47/4.81 ( ![Xz0:a]: 33.47/4.81 ( ( ( ( Xy0 ) = ( Xs @ Xz0 ) ) & ( Xy @ Xz0 ) ) => 33.47/4.81 ( ( Xz0 ) = ( Xx0 ) ) ) ) ) ) ) ) & 33.47/4.81 ( ![Xx0:a]: ( ( Xy @ Xx0 ) => ( Xz @ ( Xs @ Xx0 ) ) ) ) ) ) & 33.47/4.81 ( ?[Xs:( a > a )]: 33.47/4.81 ( ( ![Xy0:a]: 33.47/4.81 ( ( Xy @ Xy0 ) => 33.47/4.81 ( ?[Xx0:a]: 33.47/4.81 ( ( ![Xz0:a]: 33.47/4.81 ( ( ( Xx @ Xz0 ) & ( ( Xy0 ) = ( Xs @ Xz0 ) ) ) => 33.47/4.81 ( ( Xz0 ) = ( Xx0 ) ) ) ) & 33.47/4.81 ( ( Xy0 ) = ( Xs @ Xx0 ) ) & ( Xx @ Xx0 ) ) ) ) ) & 33.47/4.81 ( ![Xx0:a]: ( ( Xx @ Xx0 ) => ( Xy @ ( Xs @ Xx0 ) ) ) ) ) ) ) => 33.47/4.81 ( ?[Xs:( a > a )]: 33.47/4.81 ( ( ![Xx0:a]: ( ( Xx @ Xx0 ) => ( Xz @ ( Xs @ Xx0 ) ) ) ) & 33.47/4.81 ( ![Xy0:a]: 33.47/4.81 ( ( Xz @ Xy0 ) => 33.47/4.81 ( ?[Xx0:a]: 33.47/4.81 ( ( ( Xy0 ) = ( Xs @ Xx0 ) ) & 33.47/4.81 ( ![Xz0:a]: 33.47/4.81 ( ( ( Xx @ Xz0 ) & ( ( Xy0 ) = ( Xs @ Xz0 ) ) ) => 33.47/4.81 ( ( Xz0 ) = ( Xx0 ) ) ) ) & 33.47/4.81 ( Xx @ Xx0 ) ) ) ) ) ) ) ))). 33.47/4.81 thf(zf_stmt_0, negated_conjecture, 33.47/4.81 (~( ![Xx:( a > $o ),Xy:( a > $o ),Xz:( a > $o )]: 33.47/4.81 ( ( ( ?[Xs:( a > a )]: 33.47/4.81 ( ( ![Xy0:a]: 33.47/4.81 ( ( Xz @ Xy0 ) => 33.47/4.81 ( ?[Xx0:a]: 33.47/4.81 ( ( Xy @ Xx0 ) & ( ( Xy0 ) = ( Xs @ Xx0 ) ) & 33.47/4.81 ( ![Xz0:a]: 33.47/4.81 ( ( ( ( Xy0 ) = ( Xs @ Xz0 ) ) & ( Xy @ Xz0 ) ) => 33.47/4.81 ( ( Xz0 ) = ( Xx0 ) ) ) ) ) ) ) ) & 33.47/4.81 ( ![Xx0:a]: ( ( Xy @ Xx0 ) => ( Xz @ ( Xs @ Xx0 ) ) ) ) ) ) & 33.47/4.81 ( ?[Xs:( a > a )]: 33.47/4.81 ( ( ![Xy0:a]: 33.47/4.81 ( ( Xy @ Xy0 ) => 33.47/4.81 ( ?[Xx0:a]: 33.47/4.81 ( ( ![Xz0:a]: 33.47/4.81 ( ( ( Xx @ Xz0 ) & ( ( Xy0 ) = ( Xs @ Xz0 ) ) ) => 33.47/4.81 ( ( Xz0 ) = ( Xx0 ) ) ) ) & 33.47/4.81 ( ( Xy0 ) = ( Xs @ Xx0 ) ) & ( Xx @ Xx0 ) ) ) ) ) & 33.47/4.81 ( ![Xx0:a]: ( ( Xx @ Xx0 ) => ( Xy @ ( Xs @ Xx0 ) ) ) ) ) ) ) => 33.47/4.81 ( ?[Xs:( a > a )]: 33.47/4.81 ( ( ![Xx0:a]: ( ( Xx @ Xx0 ) => ( Xz @ ( Xs @ Xx0 ) ) ) ) & 33.47/4.81 ( ![Xy0:a]: 33.47/4.81 ( ( Xz @ Xy0 ) => 33.47/4.81 ( ?[Xx0:a]: 33.47/4.81 ( ( ( Xy0 ) = ( Xs @ Xx0 ) ) & 33.47/4.81 ( ![Xz0:a]: 33.47/4.81 ( ( ( Xx @ Xz0 ) & ( ( Xy0 ) = ( Xs @ Xz0 ) ) ) => 33.47/4.81 ( ( Xz0 ) = ( Xx0 ) ) ) ) & 33.47/4.81 ( Xx @ Xx0 ) ) ) ) ) ) ) ) )), 33.47/4.81 inference('cnf.neg', [status(esa)], [cEQP1_1C_pme])). 33.47/4.81 thf(zip_derived_cl0, plain, 33.47/4.81 (~ (((!!) @ (^[Y0 : a > $o]: 33.47/4.81 (((!!) @ (^[Y1 : a > $o]: 33.47/4.81 (((!!) @ (^[Y2 : a > $o]: 33.47/4.81 (((((((??) @ (^[Y3 : a > a]: 33.47/4.81 (((((!!) @ ( 33.47/4.81 ^[Y4 : a]: 33.47/4.81 (((Y2 @ 33.47/4.81 Y4) => 33.47/4.81 (( 33.47/4.81 (??) @ ( 33.47/4.81 ^[Y5 : a]: 33.47/4.81 (( 33.47/4.81 ( 33.47/4.81 Y1 @ Y5) & 33.47/4.81 ( 33.47/4.81 ( 33.47/4.81 (Y4) = 33.47/4.81 (Y3 @ Y5))) & 33.47/4.81 ( 33.47/4.81 ( 33.47/4.81 (!!) @ ( 33.47/4.81 ^[Y6 : a]: 33.47/4.81 (( 33.47/4.81 (( 33.47/4.81 (( 33.47/4.81 (Y4) = 33.47/4.81 (Y3 @ Y6))) & 33.47/4.81 (Y1 @ Y6))) => 33.47/4.81 (( 33.47/4.81 (Y6) = 33.47/4.81 (Y5)))))))))))))))))) & 33.47/4.81 (((!!) @ ( 33.47/4.81 ^[Y4 : a]: 33.47/4.81 (((Y1 @ 33.47/4.81 Y4) => 33.47/4.81 (Y2 @ 33.47/4.81 (Y3 @ Y4)))))))))))) & 33.47/4.81 (((??) @ (^[Y3 : a > a]: 33.47/4.81 (((((!!) @ ( 33.47/4.81 ^[Y4 : a]: 33.47/4.81 (((Y1 @ 33.47/4.81 Y4) => 33.47/4.81 (( 33.47/4.81 (??) @ ( 33.47/4.81 ^[Y5 : a]: 33.47/4.81 (( 33.47/4.81 ( 33.47/4.81 ( 33.47/4.81 (!!) @ ( 33.47/4.81 ^[Y6 : a]: 33.47/4.81 (( 33.47/4.81 (( 33.47/4.81 (Y0 @ 33.47/4.81 Y6) & 33.47/4.81 (( 33.47/4.81 (Y4) = 33.47/4.81 (Y3 @ Y6))))) => 33.47/4.81 (( 33.47/4.81 (Y6) = 33.47/4.81 (Y5)))))))) & 33.47/4.81 ( 33.47/4.81 ( 33.47/4.81 (Y4) = 33.47/4.81 (Y3 @ Y5))) & 33.47/4.81 ( 33.47/4.81 Y0 @ Y5))))))))))) & 33.47/4.81 (((!!) @ ( 33.47/4.81 ^[Y4 : a]: 33.47/4.81 (((Y0 @ 33.47/4.81 Y4) => 33.47/4.81 (Y1 @ 33.47/4.81 (Y3 @ Y4)))))))))))))) => 33.47/4.81 (((??) @ (^[Y3 : a > a]: 33.47/4.81 (((((!!) @ ( 33.47/4.81 ^[Y4 : a]: 33.47/4.81 (((Y0 @ Y4) => 33.47/4.81 (Y2 @ 33.47/4.81 (Y3 @ Y4))))))) & 33.47/4.81 (((!!) @ ( 33.47/4.81 ^[Y4 : a]: 33.47/4.81 (((Y2 @ Y4) => 33.47/4.81 (((??) @ ( 33.47/4.81 ^[Y5 : a]: 33.47/4.81 (( 33.47/4.81 ( 33.47/4.81 ( 33.47/4.81 (Y4) = 33.47/4.81 (Y3 @ Y5))) & 33.47/4.81 ( 33.47/4.81 ( 33.47/4.81 (!!) @ ( 33.47/4.81 ^[Y6 : a]: 33.47/4.81 (( 33.47/4.81 (( 33.47/4.81 (Y0 @ 33.47/4.81 Y6) & 33.47/4.81 (( 33.47/4.81 (Y4) = 33.47/4.81 (Y3 @ Y6))))) => 33.47/4.81 (( 33.47/4.81 (Y6) = 33.47/4.81 (Y5)))))))) & 33.47/4.81 ( 33.47/4.81 Y0 @ Y5)))))))))))))))))))))))))))), 33.47/4.81 inference('cnf', [status(esa)], [zf_stmt_0])). 33.47/4.81 thf(zip_derived_cl1, plain, 33.47/4.81 (~ (((!!) @ (^[Y0 : a > $o]: 33.47/4.81 (((!!) @ (^[Y1 : a > $o]: 33.47/4.81 (((((((??) @ (^[Y2 : a > a]: 33.47/4.81 (((((!!) @ (^[Y3 : a]: 33.47/4.81 (((Y1 @ Y3) => 33.47/4.81 (((??) @ ( 33.47/4.81 ^[Y4 : a]: 33.47/4.81 (( 33.47/4.81 ( 33.47/4.81 Y0 @ Y4) & 33.47/4.81 ( 33.47/4.81 ( 33.47/4.81 (Y3) = 33.47/4.81 (Y2 @ Y4))) & 33.47/4.81 ( 33.47/4.81 ( 33.47/4.81 (!!) @ ( 33.47/4.81 ^[Y5 : a]: 33.47/4.81 (( 33.47/4.81 (( 33.47/4.81 (( 33.47/4.81 (Y3) = 33.47/4.81 (Y2 @ Y5))) & 33.47/4.81 (Y0 @ Y5))) => 33.47/4.81 (( 33.47/4.81 (Y5) = 33.47/4.81 (Y4)))))))))))))))))) & 33.47/4.81 (((!!) @ (^[Y3 : a]: 33.47/4.81 (((Y0 @ Y3) => 33.47/4.81 (Y1 @ 33.47/4.81 (Y2 @ Y3)))))))))))) & 33.47/4.81 (((??) @ (^[Y2 : a > a]: 33.47/4.81 (((((!!) @ (^[Y3 : a]: 33.47/4.81 (((Y0 @ Y3) => 33.47/4.81 (((??) @ ( 33.47/4.81 ^[Y4 : a]: 33.47/4.81 (( 33.47/4.81 ( 33.47/4.81 ( 33.47/4.81 (!!) @ ( 33.47/4.81 ^[Y5 : a]: 33.47/4.81 (( 33.47/4.81 (( 33.47/4.81 ('#sk1' @ 33.47/4.81 Y5) & 33.47/4.81 (( 33.47/4.81 (Y3) = 33.47/4.81 (Y2 @ Y5))))) => 33.47/4.81 (( 33.47/4.81 (Y5) = 33.47/4.81 (Y4)))))))) & 33.47/4.81 ( 33.47/4.81 ( 33.47/4.81 (Y3) = 33.47/4.81 (Y2 @ Y4))) & 33.47/4.81 ( 33.47/4.81 '#sk1' @ 33.47/4.81 Y4))))))))))) & 33.47/4.81 (((!!) @ (^[Y3 : a]: 33.47/4.81 ((('#sk1' @ 33.47/4.81 Y3) => (Y0 @ 33.47/4.81 (Y2 @ Y3)))))))))))))) => 33.47/4.81 (((??) @ (^[Y2 : a > a]: 33.47/4.81 (((((!!) @ (^[Y3 : a]: 33.47/4.81 ((('#sk1' @ Y3) => 33.47/4.81 (Y1 @ (Y2 @ Y3))))))) & 33.47/4.81 (((!!) @ (^[Y3 : a]: 33.47/4.81 (((Y1 @ Y3) => 33.47/4.81 (((??) @ ( 33.47/4.81 ^[Y4 : a]: 33.47/4.81 (((( 33.47/4.81 (Y3) = 33.47/4.81 (Y2 @ Y4))) & 33.47/4.81 (( 33.47/4.81 (!!) @ ( 33.47/4.81 ^[Y5 : a]: 33.47/4.81 (( 33.47/4.81 (( 33.47/4.81 ('#sk1' @ 33.47/4.81 Y5) & 33.47/4.81 (( 33.47/4.81 (Y3) = 33.47/4.81 (Y2 @ Y5))))) => 33.47/4.81 (( 33.47/4.81 (Y5) = 33.47/4.81 (Y4)))))))) & 33.47/4.81 ('#sk1' @ 33.47/4.81 Y4))))))))))))))))))))))))), 33.47/4.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 33.47/4.81 thf(zip_derived_cl2, plain, 33.47/4.81 (~ (((!!) @ (^[Y0 : a > $o]: 33.47/4.81 (((((((??) @ (^[Y1 : a > a]: 33.47/4.81 (((((!!) @ (^[Y2 : a]: 33.47/4.81 (((Y0 @ Y2) => 33.47/4.81 (((??) @ (^[Y3 : a]: 33.47/4.81 ((('#sk2' @ Y3) & 33.47/4.81 (((Y2) = 33.47/4.81 (Y1 @ Y3))) & 33.47/4.81 (((!!) @ ( 33.47/4.81 ^[Y4 : a]: 33.47/4.81 (( 33.47/4.81 (( 33.47/4.81 (( 33.47/4.81 (Y2) = 33.47/4.81 (Y1 @ Y4))) & 33.47/4.81 ('#sk2' @ 33.47/4.81 Y4))) => 33.47/4.81 (( 33.47/4.81 (Y4) = 33.47/4.81 (Y3)))))))))))))))))) & 33.47/4.81 (((!!) @ (^[Y2 : a]: 33.47/4.81 ((('#sk2' @ Y2) => (Y0 @ 33.47/4.81 (Y1 @ Y2)))))))))))) & 33.47/4.81 (((??) @ (^[Y1 : a > a]: 33.47/4.81 (((((!!) @ (^[Y2 : a]: 33.47/4.81 ((('#sk2' @ Y2) => 33.47/4.81 (((??) @ (^[Y3 : a]: 33.47/4.81 (((((!!) @ ( 33.47/4.81 ^[Y4 : a]: 33.47/4.81 (( 33.47/4.81 (( 33.47/4.81 ('#sk1' @ 33.47/4.81 Y4) & 33.47/4.81 (( 33.47/4.81 (Y2) = 33.47/4.81 (Y1 @ Y4))))) => 33.47/4.81 (( 33.47/4.81 (Y4) = 33.47/4.81 (Y3)))))))) & 33.47/4.81 (((Y2) = 33.47/4.81 (Y1 @ Y3))) & 33.47/4.81 ('#sk1' @ Y3))))))))))) & 33.47/4.81 (((!!) @ (^[Y2 : a]: 33.47/4.81 ((('#sk1' @ Y2) => 33.47/4.81 ('#sk2' @ (Y1 @ Y2)))))))))))))) => 33.47/4.81 (((??) @ (^[Y1 : a > a]: 33.47/4.81 (((((!!) @ (^[Y2 : a]: 33.47/4.81 ((('#sk1' @ Y2) => (Y0 @ 33.47/4.81 (Y1 @ Y2))))))) & 33.47/4.81 (((!!) @ (^[Y2 : a]: 33.47/4.81 (((Y0 @ Y2) => 33.47/4.81 (((??) @ (^[Y3 : a]: 33.47/4.81 (((((Y2) = 33.47/4.81 (Y1 @ Y3))) & 33.47/4.81 (((!!) @ ( 33.47/4.81 ^[Y4 : a]: 33.47/4.81 (( 33.47/4.81 (( 33.47/4.81 ('#sk1' @ 33.47/4.81 Y4) & 33.47/4.81 (( 33.47/4.81 (Y2) = 33.47/4.81 (Y1 @ Y4))))) => 33.47/4.81 (( 33.47/4.81 (Y4) = 33.47/4.81 (Y3)))))))) & 33.47/4.81 ('#sk1' @ Y3)))))))))))))))))))))), 33.47/4.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 33.47/4.81 thf(zip_derived_cl3, plain, 33.47/4.81 (~ (((((((??) @ (^[Y0 : a > a]: 33.47/4.81 (((((!!) @ (^[Y1 : a]: 33.47/4.81 ((('#sk3' @ Y1) => 33.47/4.81 (((??) @ (^[Y2 : a]: 33.47/4.81 ((('#sk2' @ Y2) & 33.47/4.81 (((Y1) = (Y0 @ Y2))) & 33.47/4.81 (((!!) @ (^[Y3 : a]: 33.47/4.81 (((( 33.47/4.81 (( 33.47/4.81 (Y1) = 33.47/4.81 (Y0 @ Y3))) & 33.47/4.81 ('#sk2' @ 33.47/4.81 Y3))) => 33.47/4.81 (( 33.47/4.81 (Y3) = 33.47/4.81 (Y2)))))))))))))))))) & 33.47/4.81 (((!!) @ (^[Y1 : a]: 33.47/4.81 ((('#sk2' @ Y1) => ('#sk3' @ (Y0 @ Y1)))))))))))) & 33.47/4.81 (((??) @ (^[Y0 : a > a]: 33.47/4.81 (((((!!) @ (^[Y1 : a]: 33.47/4.81 ((('#sk2' @ Y1) => 33.47/4.81 (((??) @ (^[Y2 : a]: 33.47/4.81 (((((!!) @ (^[Y3 : a]: 33.47/4.81 (((( 33.47/4.81 ('#sk1' @ 33.47/4.81 Y3) & 33.47/4.81 (( 33.47/4.81 (Y1) = 33.47/4.81 (Y0 @ Y3))))) => 33.47/4.81 (( 33.47/4.81 (Y3) = 33.47/4.81 (Y2)))))))) & 33.47/4.81 (((Y1) = (Y0 @ Y2))) & 33.47/4.81 ('#sk1' @ Y2))))))))))) & 33.47/4.81 (((!!) @ (^[Y1 : a]: 33.47/4.81 ((('#sk1' @ Y1) => ('#sk2' @ (Y0 @ Y1)))))))))))))) => 33.47/4.81 (((??) @ (^[Y0 : a > a]: 33.47/4.81 (((((!!) @ (^[Y1 : a]: 33.47/4.81 ((('#sk1' @ Y1) => ('#sk3' @ (Y0 @ Y1))))))) & 33.47/4.81 (((!!) @ (^[Y1 : a]: 33.47/4.81 ((('#sk3' @ Y1) => 33.47/4.81 (((??) @ (^[Y2 : a]: 33.47/4.81 (((((Y1) = (Y0 @ Y2))) & 33.47/4.81 (((!!) @ (^[Y3 : a]: 33.47/4.81 ((((('#sk1' @ 33.47/4.81 Y3) & 33.47/4.81 (( 33.47/4.81 (Y1) = 33.47/4.81 (Y0 @ Y3))))) => 33.47/4.81 (((Y3) = 33.47/4.81 (Y2)))))))) & 33.47/4.81 ('#sk1' @ Y2))))))))))))))))))), 33.47/4.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 33.47/4.81 thf(zip_derived_cl4, plain, 33.47/4.81 ( (((((??) @ (^[Y0 : a > a]: 33.47/4.81 (((((!!) @ (^[Y1 : a]: 33.47/4.81 ((('#sk3' @ Y1) => 33.47/4.81 (((??) @ (^[Y2 : a]: 33.47/4.81 ((('#sk2' @ Y2) & 33.47/4.81 (((Y1) = (Y0 @ Y2))) & 33.47/4.81 (((!!) @ (^[Y3 : a]: 33.47/4.81 (((((((Y1) = 33.47/4.81 (Y0 @ Y3))) & 33.47/4.81 ('#sk2' @ 33.47/4.81 Y3))) => 33.47/4.81 (((Y3) = (Y2)))))))))))))))))) & 33.47/4.81 (((!!) @ (^[Y1 : a]: 33.47/4.81 ((('#sk2' @ Y1) => ('#sk3' @ (Y0 @ Y1)))))))))))) & 33.47/4.81 (((??) @ (^[Y0 : a > a]: 33.47/4.81 (((((!!) @ (^[Y1 : a]: 33.47/4.81 ((('#sk2' @ Y1) => 33.47/4.81 (((??) @ (^[Y2 : a]: 33.47/4.81 (((((!!) @ (^[Y3 : a]: 33.47/4.81 ((((('#sk1' @ 33.47/4.81 Y3) & 33.47/4.81 (((Y1) = 33.47/4.81 (Y0 @ Y3))))) => 33.47/4.81 (((Y3) = (Y2)))))))) & 33.47/4.81 (((Y1) = (Y0 @ Y2))) & 33.47/4.81 ('#sk1' @ Y2))))))))))) & 33.47/4.81 (((!!) @ (^[Y1 : a]: 33.47/4.81 ((('#sk1' @ Y1) => ('#sk2' @ (Y0 @ Y1))))))))))))))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 33.47/4.81 thf(zip_derived_cl7, plain, 33.47/4.81 ( (((??) @ (^[Y0 : a > a]: 33.47/4.81 (((((!!) @ (^[Y1 : a]: 33.47/4.81 ((('#sk2' @ Y1) => 33.47/4.81 (((??) @ (^[Y2 : a]: 33.47/4.81 (((((!!) @ (^[Y3 : a]: 33.47/4.81 ((((('#sk1' @ 33.47/4.81 Y3) & 33.47/4.81 (((Y1) = 33.47/4.81 (Y0 @ Y3))))) => 33.47/4.81 (((Y3) = (Y2)))))))) & 33.47/4.81 (((Y1) = (Y0 @ Y2))) & 33.47/4.81 ('#sk1' @ Y2))))))))))) & 33.47/4.81 (((!!) @ (^[Y1 : a]: 33.47/4.81 ((('#sk1' @ Y1) => ('#sk2' @ (Y0 @ Y1))))))))))))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 33.47/4.81 thf(zip_derived_cl10, plain, 33.47/4.81 ( (((((!!) @ (^[Y0 : a]: 33.47/4.81 ((('#sk2' @ Y0) => 33.47/4.81 (((??) @ (^[Y1 : a]: 33.47/4.81 (((((!!) @ (^[Y2 : a]: 33.47/4.81 ((((('#sk1' @ Y2) & 33.47/4.81 (((Y0) = ('#sk5' @ Y2))))) => 33.47/4.81 (((Y2) = (Y1)))))))) & 33.47/4.81 (((Y0) = ('#sk5' @ Y1))) & ('#sk1' @ Y1))))))))))) & 33.47/4.81 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ ('#sk5' @ Y0)))))))))), 33.47/4.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 33.47/4.81 thf(zip_derived_cl14, plain, 33.47/4.81 ( (((!!) @ (^[Y0 : a]: 33.47/4.81 ((('#sk2' @ Y0) => 33.47/4.81 (((??) @ (^[Y1 : a]: 33.47/4.81 (((((!!) @ (^[Y2 : a]: 33.47/4.81 ((((('#sk1' @ Y2) & 33.47/4.81 (((Y0) = ('#sk5' @ Y2))))) => 33.47/4.81 (((Y2) = (Y1)))))))) & 33.47/4.81 (((Y0) = ('#sk5' @ Y1))) & ('#sk1' @ Y1)))))))))))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 33.47/4.81 thf(zip_derived_cl19, plain, 33.47/4.81 (![X2 : a]: 33.47/4.81 ((('#sk2' @ X2) => 33.47/4.81 (((??) @ (^[Y0 : a]: 33.47/4.81 (((((!!) @ (^[Y1 : a]: 33.47/4.81 ((((('#sk1' @ Y1) & 33.47/4.81 (((X2) = ('#sk5' @ Y1))))) => 33.47/4.81 (((Y1) = (Y0)))))))) & 33.47/4.81 (((X2) = ('#sk5' @ Y0))) & ('#sk1' @ Y0))))))))), 33.47/4.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 33.47/4.81 thf(zip_derived_cl25, plain, 33.47/4.81 (![X2 : a]: 33.47/4.81 (~ ('#sk2' @ X2) 33.47/4.81 | (((??) @ (^[Y0 : a]: 33.47/4.81 (((((!!) @ (^[Y1 : a]: 33.47/4.81 ((((('#sk1' @ Y1) & 33.47/4.81 (((X2) = ('#sk5' @ Y1))))) => 33.47/4.81 (((Y1) = (Y0)))))))) & 33.47/4.81 (((X2) = ('#sk5' @ Y0))) & ('#sk1' @ Y0)))))))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])). 33.47/4.81 thf(zip_derived_cl30, plain, 33.47/4.81 (![X2 : a]: 33.47/4.81 ( (((((!!) @ (^[Y0 : a]: 33.47/4.81 ((((('#sk1' @ Y0) & (((X2) = ('#sk5' @ Y0))))) => 33.47/4.81 (((Y0) = ('#sk25' @ X2)))))))) & 33.47/4.81 (((X2) = ('#sk5' @ ('#sk25' @ X2)))) & ('#sk1' @ ('#sk25' @ X2)))) 33.47/4.81 | ~ ('#sk2' @ X2))), 33.47/4.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl25])). 33.47/4.81 thf(zip_derived_cl40, plain, 33.47/4.81 (![X2 : a]: ( ('#sk1' @ ('#sk25' @ X2)) | ~ ('#sk2' @ X2))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])). 33.47/4.81 thf(zip_derived_cl5, plain, 33.47/4.81 (~ (((??) @ (^[Y0 : a > a]: 33.47/4.81 (((((!!) @ (^[Y1 : a]: 33.47/4.81 ((('#sk1' @ Y1) => ('#sk3' @ (Y0 @ Y1))))))) & 33.47/4.81 (((!!) @ (^[Y1 : a]: 33.47/4.81 ((('#sk3' @ Y1) => 33.47/4.81 (((??) @ (^[Y2 : a]: 33.47/4.81 (((((Y1) = (Y0 @ Y2))) & 33.47/4.81 (((!!) @ (^[Y3 : a]: 33.47/4.81 ((((('#sk1' @ 33.47/4.81 Y3) & 33.47/4.81 (((Y1) = 33.47/4.81 (Y0 @ Y3))))) => 33.47/4.81 (((Y3) = (Y2)))))))) & 33.47/4.81 ('#sk1' @ Y2))))))))))))))))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 33.47/4.81 thf(zip_derived_cl8, plain, 33.47/4.81 (![X2 : a > a]: 33.47/4.81 ~ (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ (X2 @ Y0))))))) & 33.47/4.81 (((!!) @ (^[Y0 : a]: 33.47/4.81 ((('#sk3' @ Y0) => 33.47/4.81 (((??) @ (^[Y1 : a]: 33.47/4.81 (((((Y0) = (X2 @ Y1))) & 33.47/4.81 (((!!) @ (^[Y2 : a]: 33.47/4.81 ((((('#sk1' @ Y2) & 33.47/4.81 (((Y0) = (X2 @ Y2))))) => 33.47/4.81 (((Y2) = (Y1)))))))) & 33.47/4.81 ('#sk1' @ Y1)))))))))))))), 33.47/4.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 33.47/4.81 thf(zip_derived_cl11, plain, 33.47/4.81 (![X2 : a > a]: 33.47/4.81 (~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ (X2 @ Y0))))))) 33.47/4.81 | ~ (((!!) @ (^[Y0 : a]: 33.47/4.81 ((('#sk3' @ Y0) => 33.47/4.81 (((??) @ (^[Y1 : a]: 33.47/4.81 (((((Y0) = (X2 @ Y1))) & 33.47/4.81 (((!!) @ (^[Y2 : a]: 33.47/4.81 ((((('#sk1' @ Y2) & 33.47/4.81 (((Y0) = (X2 @ Y2))))) => 33.47/4.81 (((Y2) = (Y1)))))))) & 33.47/4.81 ('#sk1' @ Y1))))))))))))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl8])). 33.47/4.81 thf(zip_derived_cl16, plain, 33.47/4.81 (![X2 : a > a]: 33.47/4.81 (~ ((('#sk1' @ ('#sk12' @ X2)) => ('#sk3' @ (X2 @ ('#sk12' @ X2))))) 33.47/4.81 | ~ (((!!) @ (^[Y0 : a]: 33.47/4.81 ((('#sk3' @ Y0) => 33.47/4.81 (((??) @ (^[Y1 : a]: 33.47/4.81 (((((Y0) = (X2 @ Y1))) & 33.47/4.81 (((!!) @ (^[Y2 : a]: 33.47/4.81 ((((('#sk1' @ Y2) & 33.47/4.81 (((Y0) = (X2 @ Y2))))) => 33.47/4.81 (((Y2) = (Y1)))))))) & 33.47/4.81 ('#sk1' @ Y1))))))))))))), 33.47/4.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])). 33.47/4.81 thf(zip_derived_cl22, plain, 33.47/4.81 (![X2 : a > a]: 33.47/4.81 (~ ('#sk3' @ (X2 @ ('#sk12' @ X2))) 33.47/4.81 | ~ (((!!) @ (^[Y0 : a]: 33.47/4.81 ((('#sk3' @ Y0) => 33.47/4.81 (((??) @ (^[Y1 : a]: 33.47/4.81 (((((Y0) = (X2 @ Y1))) & 33.47/4.81 (((!!) @ (^[Y2 : a]: 33.47/4.81 ((((('#sk1' @ Y2) & 33.47/4.81 (((Y0) = (X2 @ Y2))))) => 33.47/4.81 (((Y2) = (Y1)))))))) & 33.47/4.81 ('#sk1' @ Y1))))))))))))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 33.47/4.81 thf(zip_derived_cl28, plain, 33.47/4.81 (![X2 : a > a]: 33.47/4.81 (~ ((('#sk3' @ ('#sk20' @ X2)) => 33.47/4.81 (((??) @ (^[Y0 : a]: 33.47/4.81 ((((('#sk20' @ X2) = (X2 @ Y0))) & 33.47/4.81 (((!!) @ (^[Y1 : a]: 33.47/4.81 ((((('#sk1' @ Y1) & 33.47/4.81 ((('#sk20' @ X2) = (X2 @ Y1))))) => 33.47/4.81 (((Y1) = (Y0)))))))) & 33.47/4.81 ('#sk1' @ Y0)))))))) 33.47/4.81 | ~ ('#sk3' @ (X2 @ ('#sk12' @ X2))))), 33.47/4.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl22])). 33.47/4.81 thf(zip_derived_cl34, plain, 33.47/4.81 (![X2 : a > a]: 33.47/4.81 (~ (((??) @ (^[Y0 : a]: 33.47/4.81 ((((('#sk20' @ X2) = (X2 @ Y0))) & 33.47/4.81 (((!!) @ (^[Y1 : a]: 33.47/4.81 ((((('#sk1' @ Y1) & 33.47/4.81 ((('#sk20' @ X2) = (X2 @ Y1))))) => 33.47/4.81 (((Y1) = (Y0)))))))) & 33.47/4.81 ('#sk1' @ Y0)))))) 33.47/4.81 | ~ ('#sk3' @ (X2 @ ('#sk12' @ X2))))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl28])). 33.47/4.81 thf(zip_derived_cl42, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 (~ ((((('#sk20' @ X2) = (X2 @ X4))) & 33.47/4.81 (((!!) @ (^[Y0 : a]: 33.47/4.81 ((((('#sk1' @ Y0) & ((('#sk20' @ X2) = (X2 @ Y0))))) => 33.47/4.81 (((Y0) = (X4)))))))) & 33.47/4.81 ('#sk1' @ X4))) 33.47/4.81 | ~ ('#sk3' @ (X2 @ ('#sk12' @ X2))))), 33.47/4.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl34])). 33.47/4.81 thf(zip_derived_cl48, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 (~ ((('#sk20' @ X2) = (X2 @ X4))) 33.47/4.81 | ~ (((!!) @ (^[Y0 : a]: 33.47/4.81 ((((('#sk1' @ Y0) & ((('#sk20' @ X2) = (X2 @ Y0))))) => 33.47/4.81 (((Y0) = (X4)))))))) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | ~ ('#sk3' @ (X2 @ ('#sk12' @ X2))))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl42])). 33.47/4.81 thf(zip_derived_cl53, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 ((('#sk20' @ X2) != (X2 @ X4)) 33.47/4.81 | ~ (((!!) @ (^[Y0 : a]: 33.47/4.81 ((((('#sk1' @ Y0) & ((('#sk20' @ X2) = (X2 @ Y0))))) => 33.47/4.81 (((Y0) = (X4)))))))) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | ~ ('#sk3' @ (X2 @ ('#sk12' @ X2))))), 33.47/4.81 inference('simplify nested equalities', [status(thm)], [zip_derived_cl48])). 33.47/4.81 thf(zip_derived_cl54, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 (~ ((((('#sk1' @ ('#sk68' @ X2 @ X4)) & 33.47/4.81 ((('#sk20' @ X2) = (X2 @ ('#sk68' @ X2 @ X4)))))) => 33.47/4.81 ((('#sk68' @ X2 @ X4) = (X4))))) 33.47/4.81 | ~ ('#sk3' @ (X2 @ ('#sk12' @ X2))) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | (('#sk20' @ X2) != (X2 @ X4)))), 33.47/4.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl53])). 33.47/4.81 thf(zip_derived_cl62, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 (~ ((('#sk68' @ X2 @ X4) = (X4))) 33.47/4.81 | (('#sk20' @ X2) != (X2 @ X4)) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | ~ ('#sk3' @ (X2 @ ('#sk12' @ X2))))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])). 33.47/4.81 thf(zip_derived_cl72, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 ((('#sk68' @ X2 @ X4) != (X4)) 33.47/4.81 | (('#sk20' @ X2) != (X2 @ X4)) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | ~ ('#sk3' @ (X2 @ ('#sk12' @ X2))))), 33.47/4.81 inference('simplify nested equalities', [status(thm)], [zip_derived_cl62])). 33.47/4.81 thf(zip_derived_cl93, plain, 33.47/4.81 (![X0 : a, X1 : a > a]: 33.47/4.81 (~ ('#sk2' @ X0) 33.47/4.81 | ~ ('#sk3' @ (X1 @ ('#sk12' @ X1))) 33.47/4.81 | (('#sk20' @ X1) != (X1 @ ('#sk25' @ X0))) 33.47/4.81 | (('#sk68' @ X1 @ ('#sk25' @ X0)) != ('#sk25' @ X0)))), 33.47/4.81 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl72])). 33.47/4.81 thf(zip_derived_cl6, plain, 33.47/4.81 ( (((??) @ (^[Y0 : a > a]: 33.47/4.81 (((((!!) @ (^[Y1 : a]: 33.47/4.81 ((('#sk3' @ Y1) => 33.47/4.81 (((??) @ (^[Y2 : a]: 33.47/4.81 ((('#sk2' @ Y2) & 33.47/4.81 (((Y1) = (Y0 @ Y2))) & 33.47/4.81 (((!!) @ (^[Y3 : a]: 33.47/4.81 (((((((Y1) = 33.47/4.81 (Y0 @ Y3))) & 33.47/4.81 ('#sk2' @ Y3))) => 33.47/4.81 (((Y3) = (Y2)))))))))))))))))) & 33.47/4.81 (((!!) @ (^[Y1 : a]: 33.47/4.81 ((('#sk2' @ Y1) => ('#sk3' @ (Y0 @ Y1))))))))))))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 33.47/4.81 thf(zip_derived_cl9, plain, 33.47/4.81 ( (((((!!) @ (^[Y0 : a]: 33.47/4.81 ((('#sk3' @ Y0) => 33.47/4.81 (((??) @ (^[Y1 : a]: 33.47/4.81 ((('#sk2' @ Y1) & 33.47/4.81 (((Y0) = ('#sk4' @ Y1))) & 33.47/4.81 (((!!) @ (^[Y2 : a]: 33.47/4.81 (((((((Y0) = ('#sk4' @ Y2))) & 33.47/4.81 ('#sk2' @ Y2))) => 33.47/4.81 (((Y2) = (Y1)))))))))))))))))) & 33.47/4.81 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk3' @ ('#sk4' @ Y0)))))))))), 33.47/4.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 33.47/4.81 thf(zip_derived_cl13, plain, 33.47/4.81 ( (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk3' @ ('#sk4' @ Y0)))))))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl9])). 33.47/4.81 thf(zip_derived_cl18, plain, 33.47/4.81 (![X2 : a]: ((('#sk2' @ X2) => ('#sk3' @ ('#sk4' @ X2))))), 33.47/4.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 33.47/4.81 thf(zip_derived_cl24, plain, 33.47/4.81 (![X2 : a]: (~ ('#sk2' @ X2) | ('#sk3' @ ('#sk4' @ X2)))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 33.47/4.81 thf(zip_derived_cl40, plain, 33.47/4.81 (![X2 : a]: ( ('#sk1' @ ('#sk25' @ X2)) | ~ ('#sk2' @ X2))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])). 33.47/4.81 thf(zip_derived_cl61, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 ( ((('#sk1' @ ('#sk68' @ X2 @ X4)) & 33.47/4.81 ((('#sk20' @ X2) = (X2 @ ('#sk68' @ X2 @ X4)))))) 33.47/4.81 | (('#sk20' @ X2) != (X2 @ X4)) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | ~ ('#sk3' @ (X2 @ ('#sk12' @ X2))))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])). 33.47/4.81 thf(zip_derived_cl71, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 ( ((('#sk20' @ X2) = (X2 @ ('#sk68' @ X2 @ X4)))) 33.47/4.81 | ~ ('#sk3' @ (X2 @ ('#sk12' @ X2))) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | (('#sk20' @ X2) != (X2 @ X4)))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl61])). 33.47/4.81 thf(zip_derived_cl74, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 ((('#sk20' @ X2) = (X2 @ ('#sk68' @ X2 @ X4))) 33.47/4.81 | ~ ('#sk3' @ (X2 @ ('#sk12' @ X2))) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | (('#sk20' @ X2) != (X2 @ X4)))), 33.47/4.81 inference('simplify nested equalities', [status(thm)], [zip_derived_cl71])). 33.47/4.81 thf(zip_derived_cl124, plain, 33.47/4.81 (![X0 : a, X1 : a > a]: 33.47/4.81 (~ ('#sk2' @ X0) 33.47/4.81 | (('#sk20' @ X1) != (X1 @ ('#sk25' @ X0))) 33.47/4.81 | ~ ('#sk3' @ (X1 @ ('#sk12' @ X1))) 33.47/4.81 | (('#sk20' @ X1) = (X1 @ ('#sk68' @ X1 @ ('#sk25' @ X0)))))), 33.47/4.81 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl74])). 33.47/4.81 thf(zip_derived_cl40, plain, 33.47/4.81 (![X2 : a]: ( ('#sk1' @ ('#sk25' @ X2)) | ~ ('#sk2' @ X2))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])). 33.47/4.81 thf(zip_derived_cl21, plain, 33.47/4.81 (![X2 : a > a]: 33.47/4.81 ( ('#sk1' @ ('#sk12' @ X2)) 33.47/4.81 | ~ (((!!) @ (^[Y0 : a]: 33.47/4.81 ((('#sk3' @ Y0) => 33.47/4.81 (((??) @ (^[Y1 : a]: 33.47/4.81 (((((Y0) = (X2 @ Y1))) & 33.47/4.81 (((!!) @ (^[Y2 : a]: 33.47/4.81 ((((('#sk1' @ Y2) & 33.47/4.81 (((Y0) = (X2 @ Y2))))) => 33.47/4.81 (((Y2) = (Y1)))))))) & 33.47/4.81 ('#sk1' @ Y1))))))))))))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 33.47/4.81 thf(zip_derived_cl27, plain, 33.47/4.81 (![X2 : a > a]: 33.47/4.81 (~ ((('#sk3' @ ('#sk20' @ X2)) => 33.47/4.81 (((??) @ (^[Y0 : a]: 33.47/4.81 ((((('#sk20' @ X2) = (X2 @ Y0))) & 33.47/4.81 (((!!) @ (^[Y1 : a]: 33.47/4.81 ((((('#sk1' @ Y1) & 33.47/4.81 ((('#sk20' @ X2) = (X2 @ Y1))))) => 33.47/4.81 (((Y1) = (Y0)))))))) & 33.47/4.81 ('#sk1' @ Y0)))))))) 33.47/4.81 | ('#sk1' @ ('#sk12' @ X2)))), 33.47/4.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])). 33.47/4.81 thf(zip_derived_cl32, plain, 33.47/4.81 (![X2 : a > a]: 33.47/4.81 (~ (((??) @ (^[Y0 : a]: 33.47/4.81 ((((('#sk20' @ X2) = (X2 @ Y0))) & 33.47/4.81 (((!!) @ (^[Y1 : a]: 33.47/4.81 ((((('#sk1' @ Y1) & 33.47/4.81 ((('#sk20' @ X2) = (X2 @ Y1))))) => 33.47/4.81 (((Y1) = (Y0)))))))) & 33.47/4.81 ('#sk1' @ Y0)))))) 33.47/4.81 | ('#sk1' @ ('#sk12' @ X2)))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl27])). 33.47/4.81 thf(zip_derived_cl41, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 (~ ((((('#sk20' @ X2) = (X2 @ X4))) & 33.47/4.81 (((!!) @ (^[Y0 : a]: 33.47/4.81 ((((('#sk1' @ Y0) & ((('#sk20' @ X2) = (X2 @ Y0))))) => 33.47/4.81 (((Y0) = (X4)))))))) & 33.47/4.81 ('#sk1' @ X4))) 33.47/4.81 | ('#sk1' @ ('#sk12' @ X2)))), 33.47/4.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])). 33.47/4.81 thf(zip_derived_cl47, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 (~ ((('#sk20' @ X2) = (X2 @ X4))) 33.47/4.81 | ~ (((!!) @ (^[Y0 : a]: 33.47/4.81 ((((('#sk1' @ Y0) & ((('#sk20' @ X2) = (X2 @ Y0))))) => 33.47/4.81 (((Y0) = (X4)))))))) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | ('#sk1' @ ('#sk12' @ X2)))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl41])). 33.47/4.81 thf(zip_derived_cl51, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 ((('#sk20' @ X2) != (X2 @ X4)) 33.47/4.81 | ~ (((!!) @ (^[Y0 : a]: 33.47/4.81 ((((('#sk1' @ Y0) & ((('#sk20' @ X2) = (X2 @ Y0))))) => 33.47/4.81 (((Y0) = (X4)))))))) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | ('#sk1' @ ('#sk12' @ X2)))), 33.47/4.81 inference('simplify nested equalities', [status(thm)], [zip_derived_cl47])). 33.47/4.81 thf(zip_derived_cl52, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 (~ ((((('#sk1' @ ('#sk68' @ X2 @ X4)) & 33.47/4.81 ((('#sk20' @ X2) = (X2 @ ('#sk68' @ X2 @ X4)))))) => 33.47/4.81 ((('#sk68' @ X2 @ X4) = (X4))))) 33.47/4.81 | ('#sk1' @ ('#sk12' @ X2)) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | (('#sk20' @ X2) != (X2 @ X4)))), 33.47/4.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl51])). 33.47/4.81 thf(zip_derived_cl60, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 (~ ((('#sk68' @ X2 @ X4) = (X4))) 33.47/4.81 | (('#sk20' @ X2) != (X2 @ X4)) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | ('#sk1' @ ('#sk12' @ X2)))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl52])). 33.47/4.81 thf(zip_derived_cl69, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 ((('#sk68' @ X2 @ X4) != (X4)) 33.47/4.81 | (('#sk20' @ X2) != (X2 @ X4)) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | ('#sk1' @ ('#sk12' @ X2)))), 33.47/4.81 inference('simplify nested equalities', [status(thm)], [zip_derived_cl60])). 33.47/4.81 thf(zip_derived_cl112, plain, 33.47/4.81 (![X0 : a, X1 : a > a]: 33.47/4.81 (~ ('#sk2' @ X0) 33.47/4.81 | ('#sk1' @ ('#sk12' @ X1)) 33.47/4.81 | (('#sk20' @ X1) != (X1 @ ('#sk25' @ X0))) 33.47/4.81 | (('#sk68' @ X1 @ ('#sk25' @ X0)) != ('#sk25' @ X0)))), 33.47/4.81 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl69])). 33.47/4.81 thf(zip_derived_cl40, plain, 33.47/4.81 (![X2 : a]: ( ('#sk1' @ ('#sk25' @ X2)) | ~ ('#sk2' @ X2))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])). 33.47/4.81 thf(zip_derived_cl70, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 ( ('#sk1' @ ('#sk68' @ X2 @ X4)) 33.47/4.81 | ~ ('#sk3' @ (X2 @ ('#sk12' @ X2))) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | (('#sk20' @ X2) != (X2 @ X4)))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl61])). 33.47/4.81 thf(zip_derived_cl175, plain, 33.47/4.81 (![X0 : a, X1 : a > a]: 33.47/4.81 (~ ('#sk2' @ X0) 33.47/4.81 | (('#sk20' @ X1) != (X1 @ ('#sk25' @ X0))) 33.47/4.81 | ~ ('#sk3' @ (X1 @ ('#sk12' @ X1))) 33.47/4.81 | ('#sk1' @ ('#sk68' @ X1 @ ('#sk25' @ X0))))), 33.47/4.81 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl70])). 33.47/4.81 thf(zip_derived_cl38, plain, 33.47/4.81 (![X2 : a]: 33.47/4.81 ( (((!!) @ (^[Y0 : a]: 33.47/4.81 ((((('#sk1' @ Y0) & (((X2) = ('#sk5' @ Y0))))) => 33.47/4.81 (((Y0) = ('#sk25' @ X2)))))))) 33.47/4.81 | ~ ('#sk2' @ X2))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])). 33.47/4.81 thf(zip_derived_cl45, plain, 33.47/4.81 (![X2 : a, X4 : a]: 33.47/4.81 ( ((((('#sk1' @ X4) & (((X2) = ('#sk5' @ X4))))) => 33.47/4.81 (((X4) = ('#sk25' @ X2))))) 33.47/4.81 | ~ ('#sk2' @ X2))), 33.47/4.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl38])). 33.47/4.81 thf(zip_derived_cl50, plain, 33.47/4.81 (![X2 : a, X4 : a]: 33.47/4.81 (~ ((('#sk1' @ X4) & (((X2) = ('#sk5' @ X4))))) 33.47/4.81 | (((X4) = ('#sk25' @ X2))) 33.47/4.81 | ~ ('#sk2' @ X2))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl45])). 33.47/4.81 thf(zip_derived_cl57, plain, 33.47/4.81 (![X2 : a, X4 : a]: 33.47/4.81 (~ ((('#sk1' @ X4) & (((X2) = ('#sk5' @ X4))))) 33.47/4.81 | ((X4) = ('#sk25' @ X2)) 33.47/4.81 | ~ ('#sk2' @ X2))), 33.47/4.81 inference('simplify nested equalities', [status(thm)], [zip_derived_cl50])). 33.47/4.81 thf(zip_derived_cl58, plain, 33.47/4.81 (![X2 : a, X4 : a]: 33.47/4.81 (~ ('#sk1' @ X4) 33.47/4.81 | ~ (((X2) = ('#sk5' @ X4))) 33.47/4.81 | ~ ('#sk2' @ X2) 33.47/4.81 | ((X4) = ('#sk25' @ X2)))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl57])). 33.47/4.81 thf(zip_derived_cl65, plain, 33.47/4.81 (![X2 : a, X4 : a]: 33.47/4.81 (~ ('#sk1' @ X4) 33.47/4.81 | ((X2) != ('#sk5' @ X4)) 33.47/4.81 | ~ ('#sk2' @ X2) 33.47/4.81 | ((X4) = ('#sk25' @ X2)))), 33.47/4.81 inference('simplify nested equalities', [status(thm)], [zip_derived_cl58])). 33.47/4.81 thf(zip_derived_cl66, plain, 33.47/4.81 (![X4 : a]: 33.47/4.81 (((X4) = ('#sk25' @ ('#sk5' @ X4))) 33.47/4.81 | ~ ('#sk2' @ ('#sk5' @ X4)) 33.47/4.81 | ~ ('#sk1' @ X4))), 33.47/4.81 inference('simplify', [status(thm)], [zip_derived_cl65])). 33.47/4.81 thf(zip_derived_cl15, plain, 33.47/4.81 ( (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ ('#sk5' @ Y0)))))))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 33.47/4.81 thf(zip_derived_cl20, plain, 33.47/4.81 (![X2 : a]: ((('#sk1' @ X2) => ('#sk2' @ ('#sk5' @ X2))))), 33.47/4.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])). 33.47/4.81 thf(zip_derived_cl26, plain, 33.47/4.81 (![X2 : a]: (~ ('#sk1' @ X2) | ('#sk2' @ ('#sk5' @ X2)))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 33.47/4.81 thf(zip_derived_cl76, plain, 33.47/4.81 (![X4 : a]: (~ ('#sk1' @ X4) | ((X4) = ('#sk25' @ ('#sk5' @ X4))))), 33.47/4.81 inference('clc', [status(thm)], [zip_derived_cl66, zip_derived_cl26])). 33.47/4.81 thf(zip_derived_cl12, plain, 33.47/4.81 ( (((!!) @ (^[Y0 : a]: 33.47/4.81 ((('#sk3' @ Y0) => 33.47/4.81 (((??) @ (^[Y1 : a]: 33.47/4.81 ((('#sk2' @ Y1) & (((Y0) = ('#sk4' @ Y1))) & 33.47/4.81 (((!!) @ (^[Y2 : a]: 33.47/4.81 (((((((Y0) = ('#sk4' @ Y2))) & 33.47/4.81 ('#sk2' @ Y2))) => 33.47/4.81 (((Y2) = (Y1))))))))))))))))))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl9])). 33.47/4.81 thf(zip_derived_cl17, plain, 33.47/4.81 (![X2 : a]: 33.47/4.81 ((('#sk3' @ X2) => 33.47/4.81 (((??) @ (^[Y0 : a]: 33.47/4.81 ((('#sk2' @ Y0) & (((X2) = ('#sk4' @ Y0))) & 33.47/4.81 (((!!) @ (^[Y1 : a]: 33.47/4.81 (((((((X2) = ('#sk4' @ Y1))) & ('#sk2' @ 33.47/4.81 Y1))) => 33.47/4.81 (((Y1) = (Y0)))))))))))))))), 33.47/4.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 33.47/4.81 thf(zip_derived_cl23, plain, 33.47/4.81 (![X2 : a]: 33.47/4.81 (~ ('#sk3' @ X2) 33.47/4.81 | (((??) @ (^[Y0 : a]: 33.47/4.81 ((('#sk2' @ Y0) & (((X2) = ('#sk4' @ Y0))) & 33.47/4.81 (((!!) @ (^[Y1 : a]: 33.47/4.81 (((((((X2) = ('#sk4' @ Y1))) & 33.47/4.81 ('#sk2' @ Y1))) => 33.47/4.81 (((Y1) = (Y0))))))))))))))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl17])). 33.47/4.81 thf(zip_derived_cl29, plain, 33.47/4.81 (![X2 : a]: 33.47/4.81 ( ((('#sk2' @ ('#sk24' @ X2)) & 33.47/4.81 (((X2) = ('#sk4' @ ('#sk24' @ X2)))) & 33.47/4.81 (((!!) @ (^[Y0 : a]: 33.47/4.81 (((((((X2) = ('#sk4' @ Y0))) & ('#sk2' @ Y0))) => 33.47/4.81 (((Y0) = ('#sk24' @ X2)))))))))) 33.47/4.81 | ~ ('#sk3' @ X2))), 33.47/4.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl23])). 33.47/4.81 thf(zip_derived_cl37, plain, 33.47/4.81 (![X2 : a]: 33.47/4.81 ( (((!!) @ (^[Y0 : a]: 33.47/4.81 (((((((X2) = ('#sk4' @ Y0))) & ('#sk2' @ Y0))) => 33.47/4.81 (((Y0) = ('#sk24' @ X2)))))))) 33.47/4.81 | ~ ('#sk3' @ X2))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl29])). 33.47/4.81 thf(zip_derived_cl44, plain, 33.47/4.81 (![X2 : a, X4 : a]: 33.47/4.81 ( (((((((X2) = ('#sk4' @ X4))) & ('#sk2' @ X4))) => 33.47/4.81 (((X4) = ('#sk24' @ X2))))) 33.47/4.81 | ~ ('#sk3' @ X2))), 33.47/4.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl37])). 33.47/4.81 thf(zip_derived_cl49, plain, 33.47/4.81 (![X2 : a, X4 : a]: 33.47/4.81 (~ (((((X2) = ('#sk4' @ X4))) & ('#sk2' @ X4))) 33.47/4.81 | (((X4) = ('#sk24' @ X2))) 33.47/4.81 | ~ ('#sk3' @ X2))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl44])). 33.47/4.81 thf(zip_derived_cl55, plain, 33.47/4.81 (![X2 : a, X4 : a]: 33.47/4.81 (~ (((((X2) = ('#sk4' @ X4))) & ('#sk2' @ X4))) 33.47/4.81 | ((X4) = ('#sk24' @ X2)) 33.47/4.81 | ~ ('#sk3' @ X2))), 33.47/4.81 inference('simplify nested equalities', [status(thm)], [zip_derived_cl49])). 33.47/4.81 thf(zip_derived_cl56, plain, 33.47/4.81 (![X2 : a, X4 : a]: 33.47/4.81 (~ (((X2) = ('#sk4' @ X4))) 33.47/4.81 | ~ ('#sk2' @ X4) 33.47/4.81 | ~ ('#sk3' @ X2) 33.47/4.81 | ((X4) = ('#sk24' @ X2)))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl55])). 33.47/4.81 thf(zip_derived_cl63, plain, 33.47/4.81 (![X2 : a, X4 : a]: 33.47/4.81 (((X2) != ('#sk4' @ X4)) 33.47/4.81 | ~ ('#sk2' @ X4) 33.47/4.81 | ~ ('#sk3' @ X2) 33.47/4.81 | ((X4) = ('#sk24' @ X2)))), 33.47/4.81 inference('simplify nested equalities', [status(thm)], [zip_derived_cl56])). 33.47/4.81 thf(zip_derived_cl64, plain, 33.47/4.81 (![X4 : a]: 33.47/4.81 (((X4) = ('#sk24' @ ('#sk4' @ X4))) 33.47/4.81 | ~ ('#sk3' @ ('#sk4' @ X4)) 33.47/4.81 | ~ ('#sk2' @ X4))), 33.47/4.81 inference('simplify', [status(thm)], [zip_derived_cl63])). 33.47/4.81 thf(zip_derived_cl24, plain, 33.47/4.81 (![X2 : a]: (~ ('#sk2' @ X2) | ('#sk3' @ ('#sk4' @ X2)))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 33.47/4.81 thf(zip_derived_cl75, plain, 33.47/4.81 (![X4 : a]: (~ ('#sk2' @ X4) | ((X4) = ('#sk24' @ ('#sk4' @ X4))))), 33.47/4.81 inference('clc', [status(thm)], [zip_derived_cl64, zip_derived_cl24])). 33.47/4.81 thf(zip_derived_cl35, plain, 33.47/4.81 (![X2 : a]: ( ('#sk2' @ ('#sk24' @ X2)) | ~ ('#sk3' @ X2))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl29])). 33.47/4.81 thf(zip_derived_cl31, plain, 33.47/4.81 (![X2 : a > a]: ( ('#sk3' @ ('#sk20' @ X2)) | ('#sk1' @ ('#sk12' @ X2)))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl27])). 33.47/4.81 thf(zip_derived_cl36, plain, 33.47/4.81 (![X2 : a]: ( (((X2) = ('#sk4' @ ('#sk24' @ X2)))) | ~ ('#sk3' @ X2))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl29])). 33.47/4.81 thf(zip_derived_cl43, plain, 33.47/4.81 (![X2 : a]: (((X2) = ('#sk4' @ ('#sk24' @ X2))) | ~ ('#sk3' @ X2))), 33.47/4.81 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 33.47/4.81 thf(zip_derived_cl40, plain, 33.47/4.81 (![X2 : a]: ( ('#sk1' @ ('#sk25' @ X2)) | ~ ('#sk2' @ X2))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])). 33.47/4.81 thf(zip_derived_cl59, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 ( ((('#sk1' @ ('#sk68' @ X2 @ X4)) & 33.47/4.81 ((('#sk20' @ X2) = (X2 @ ('#sk68' @ X2 @ X4)))))) 33.47/4.81 | (('#sk20' @ X2) != (X2 @ X4)) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | ('#sk1' @ ('#sk12' @ X2)))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl52])). 33.47/4.81 thf(zip_derived_cl67, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 ( ('#sk1' @ ('#sk68' @ X2 @ X4)) 33.47/4.81 | ('#sk1' @ ('#sk12' @ X2)) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | (('#sk20' @ X2) != (X2 @ X4)))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl59])). 33.47/4.81 thf(zip_derived_cl134, plain, 33.47/4.81 (![X0 : a, X1 : a > a]: 33.47/4.81 (~ ('#sk2' @ X0) 33.47/4.81 | (('#sk20' @ X1) != (X1 @ ('#sk25' @ X0))) 33.47/4.81 | ('#sk1' @ ('#sk12' @ X1)) 33.47/4.81 | ('#sk1' @ ('#sk68' @ X1 @ ('#sk25' @ X0))))), 33.47/4.81 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl67])). 33.47/4.81 thf(zip_derived_cl26, plain, 33.47/4.81 (![X2 : a]: (~ ('#sk1' @ X2) | ('#sk2' @ ('#sk5' @ X2)))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 33.47/4.81 thf(zip_derived_cl24, plain, 33.47/4.81 (![X2 : a]: (~ ('#sk2' @ X2) | ('#sk3' @ ('#sk4' @ X2)))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 33.47/4.81 thf(zip_derived_cl33, plain, 33.47/4.81 (![X2 : a > a]: 33.47/4.81 ( ('#sk3' @ ('#sk20' @ X2)) | ~ ('#sk3' @ (X2 @ ('#sk12' @ X2))))), 33.47/4.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl28])). 33.47/4.81 thf(zip_derived_cl105, plain, 33.47/4.81 (![X0 : a > a]: 33.47/4.81 (~ ('#sk2' @ (X0 @ ('#sk12' @ (^[Y0 : a]: ('#sk4' @ (X0 @ Y0)))))) 33.47/4.81 | ('#sk3' @ 33.47/4.81 ('#sk20' @ (^[Y0 : a]: ('#sk4' @ ((^[Y1 : a]: (X0 @ Y1)) @ Y0))))))), 33.47/4.81 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl33])). 33.47/4.81 thf(zip_derived_cl107, plain, 33.47/4.81 (![X0 : a > a]: 33.47/4.81 (~ ('#sk2' @ (X0 @ ('#sk12' @ (^[Y0 : a]: ('#sk4' @ (X0 @ Y0)))))) 33.47/4.81 | ('#sk3' @ ('#sk20' @ (^[Y0 : a]: ('#sk4' @ (X0 @ Y0))))))), 33.47/4.81 inference('ho_norm', [status(thm)], [zip_derived_cl105])). 33.47/4.81 thf(zip_derived_cl107, plain, 33.47/4.81 (![X0 : a > a]: 33.47/4.81 (~ ('#sk2' @ (X0 @ ('#sk12' @ (^[Y0 : a]: ('#sk4' @ (X0 @ Y0)))))) 33.47/4.81 | ('#sk3' @ ('#sk20' @ (^[Y0 : a]: ('#sk4' @ (X0 @ Y0))))))), 33.47/4.81 inference('ho_norm', [status(thm)], [zip_derived_cl105])). 33.47/4.81 thf(zip_derived_cl3493, plain, 33.47/4.81 (![X0 : a > a, X1 : a]: 33.47/4.81 (('#l_lift15391' @ X0 @ X1) = ('#sk4' @ (X0 @ X1)))), 33.47/4.81 define([status(thm)])). 33.47/4.81 thf(zip_derived_cl3493, plain, 33.47/4.81 (![X0 : a > a, X1 : a]: 33.47/4.81 (('#l_lift15391' @ X0 @ X1) = ('#sk4' @ (X0 @ X1)))), 33.47/4.81 define([status(thm)])). 33.47/4.81 thf(zip_derived_cl3494, plain, 33.47/4.81 (![X0 : a > a]: 33.47/4.81 (~ ('#sk2' @ (X0 @ ('#sk12' @ ('#l_lift15391' @ X0)))) 33.47/4.81 | ('#sk3' @ ('#sk20' @ ('#l_lift15391' @ X0))))), 33.47/4.81 inference('lambda_lifting', [status(thm)], 33.47/4.81 [zip_derived_cl107, zip_derived_cl3493, zip_derived_cl3493])). 33.47/4.81 thf(zip_derived_cl40, plain, 33.47/4.81 (![X2 : a]: ( ('#sk1' @ ('#sk25' @ X2)) | ~ ('#sk2' @ X2))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])). 33.47/4.81 thf(zip_derived_cl39, plain, 33.47/4.81 (![X2 : a]: ( (((X2) = ('#sk5' @ ('#sk25' @ X2)))) | ~ ('#sk2' @ X2))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])). 33.47/4.81 thf(zip_derived_cl46, plain, 33.47/4.81 (![X2 : a]: (((X2) = ('#sk5' @ ('#sk25' @ X2))) | ~ ('#sk2' @ X2))), 33.47/4.81 inference('simplify nested equalities', [status(thm)], [zip_derived_cl39])). 33.47/4.81 thf(zip_derived_cl3493, plain, 33.47/4.81 (![X0 : a > a, X1 : a]: 33.47/4.81 (('#l_lift15391' @ X0 @ X1) = ('#sk4' @ (X0 @ X1)))), 33.47/4.81 define([status(thm)])). 33.47/4.81 thf(zip_derived_cl68, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 ( ((('#sk20' @ X2) = (X2 @ ('#sk68' @ X2 @ X4)))) 33.47/4.81 | ('#sk1' @ ('#sk12' @ X2)) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | (('#sk20' @ X2) != (X2 @ X4)))), 33.47/4.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl59])). 33.47/4.81 thf(zip_derived_cl73, plain, 33.47/4.81 (![X2 : a > a, X4 : a]: 33.47/4.81 ((('#sk20' @ X2) = (X2 @ ('#sk68' @ X2 @ X4))) 33.47/4.81 | ('#sk1' @ ('#sk12' @ X2)) 33.47/4.81 | ~ ('#sk1' @ X4) 33.47/4.81 | (('#sk20' @ X2) != (X2 @ X4)))), 33.47/4.81 inference('simplify nested equalities', [status(thm)], [zip_derived_cl68])). 33.47/4.81 thf(zip_derived_cl3506, plain, ($false), 33.47/4.81 inference('eprover', [status(thm)], 33.47/4.81 [zip_derived_cl93, zip_derived_cl24, zip_derived_cl124, 33.47/4.81 zip_derived_cl112, zip_derived_cl175, zip_derived_cl76, 33.47/4.81 zip_derived_cl75, zip_derived_cl35, zip_derived_cl31, 33.47/4.81 zip_derived_cl43, zip_derived_cl134, zip_derived_cl26, 33.47/4.81 zip_derived_cl3494, zip_derived_cl40, zip_derived_cl46, 33.47/4.81 zip_derived_cl3493, zip_derived_cl73])). 33.47/4.81 33.47/4.81 % SZS output end Refutation 33.47/4.81 33.47/4.81 33.47/4.81 % Terminating... 33.47/4.88 % Runner terminated. 33.47/4.89 % Zipperpin 1.5 exiting 33.47/4.90 EOF