0.06/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UcKqAxl1bJ true 0.11/0.32 % Computer : n015.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 : 1440 0.11/0.32 % WCLimit : 180 0.11/0.32 % DateTime : Thu Jul 4 10:37:24 EDT 2024 0.11/0.32 % CPUTime : 0.11/0.32 % Running portfolio for 1440 s 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.11/0.32 % Number of cores: 8 0.11/0.32 % Python version: Python 3.6.8 0.11/0.32 % Running in HO mode 0.46/0.61 % Total configuration time : 828 0.46/0.61 % Estimated wc time : 1656 0.46/0.61 % Estimated cpu time (8 cpus) : 207.0 0.50/0.69 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.50/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.50/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.50/0.69 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.50/0.69 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.50/0.70 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.50/0.70 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.50/0.70 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 97.36/12.89 % Solved by lams/35_full_unif4.sh. 97.36/12.89 % done 422 iterations in 12.103s 97.36/12.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 97.36/12.89 % SZS output start Refutation 97.36/12.89 thf(a_type, type, a: $tType). 97.36/12.89 thf('#sk2_type', type, '#sk2': (a > a > $o) > $o). 97.36/12.89 thf('#sk3_type', type, '#sk3': a). 97.36/12.89 thf('#sk12196_type', type, '#sk12196': a > a > (a > a > $o) > a > a > $o). 97.36/12.89 thf('#sk43_type', type, '#sk43': (a > a > $o) > a). 97.36/12.89 thf('#sk117_type', type, '#sk117': (a > a > $o) > a > a > $o). 97.36/12.89 thf('#sk73_type', type, '#sk73': (a > a > $o) > a > a > $o). 97.36/12.89 thf('#sk66_type', type, '#sk66': (a > a > $o) > a). 97.36/12.89 thf('#sk1_type', type, '#sk1': (a > a > $o) > $o). 97.36/12.89 thf('#sk48_type', type, '#sk48': (a > a > $o) > a). 97.36/12.89 thf('#sk5_type', type, '#sk5': a > a > $o). 97.36/12.89 thf('#sk438_type', type, '#sk438': (a > a > $o) > a). 97.36/12.89 thf('#sk430_type', type, '#sk430': (a > a > $o) > a). 97.36/12.89 thf('#sk216_type', type, '#sk216': a > a > $o). 97.36/12.89 thf('#sk4_type', type, '#sk4': a). 97.36/12.89 thf('#sk31_type', type, '#sk31': (a > a > $o) > a). 97.36/12.89 thf('#form18_type', type, '#form18': $o). 97.36/12.89 thf('#sk106_type', type, '#sk106': (a > a > $o) > a > a > $o). 97.36/12.89 thf(cTHM254_pme, conjecture, 97.36/12.89 (![PROP:( ( a > a > $o ) > $o ),S:( ( a > a > $o ) > $o )]: 97.36/12.89 ( ( ^[Xx:a,Xy:a]: 97.36/12.89 ( ![Xp:( a > a > $o )]: 97.36/12.89 ( ( ( ![Xx0:a,Xy0:a]: 97.36/12.89 ( ( ?[R:( a > a > $o )]: ( ( S @ R ) & ( R @ Xx0 @ Xy0 ) ) ) => 97.36/12.89 ( Xp @ Xx0 @ Xy0 ) ) ) & 97.36/12.89 ( PROP @ Xp ) ) => 97.36/12.89 ( Xp @ Xx @ Xy ) ) ) ) = 97.36/12.89 ( ^[Xx:a,Xy:a]: 97.36/12.89 ( ![Xp:( a > a > $o )]: 97.36/12.89 ( ( ( PROP @ Xp ) & 97.36/12.89 ( ![Xx0:a,Xy0:a]: 97.36/12.89 ( ( ?[R:( a > a > $o )]: 97.36/12.89 ( ( ?[Q:( a > a > $o )]: 97.36/12.89 ( ( S @ Q ) & 97.36/12.89 ( ( R ) = 97.36/12.89 ( ^[Xx1:a,Xy1:a]: 97.36/12.89 ( ![Xp0:( a > a > $o )]: 97.36/12.89 ( ( ( ![Xx2:a,Xy2:a]: 97.36/12.89 ( ( Q @ Xx2 @ Xy2 ) => 97.36/12.89 ( Xp0 @ Xx2 @ Xy2 ) ) ) & 97.36/12.89 ( PROP @ Xp0 ) ) => 97.36/12.89 ( Xp0 @ Xx1 @ Xy1 ) ) ) ) ) ) ) & 97.36/12.89 ( R @ Xx0 @ Xy0 ) ) ) => 97.36/12.89 ( Xp @ Xx0 @ Xy0 ) ) ) ) => 97.36/12.89 ( Xp @ Xx @ Xy ) ) ) ) ))). 97.36/12.89 thf(zf_stmt_0, negated_conjecture, 97.36/12.89 (~( ![PROP:( ( a > a > $o ) > $o ),S:( ( a > a > $o ) > $o )]: 97.36/12.89 ( ( ^[Xx:a,Xy:a]: 97.36/12.89 ( ![Xp:( a > a > $o )]: 97.36/12.89 ( ( ( ![Xx0:a,Xy0:a]: 97.36/12.89 ( ( ?[R:( a > a > $o )]: ( ( S @ R ) & ( R @ Xx0 @ Xy0 ) ) ) => 97.36/12.89 ( Xp @ Xx0 @ Xy0 ) ) ) & 97.36/12.89 ( PROP @ Xp ) ) => 97.36/12.89 ( Xp @ Xx @ Xy ) ) ) ) = 97.36/12.89 ( ^[Xx:a,Xy:a]: 97.36/12.89 ( ![Xp:( a > a > $o )]: 97.36/12.89 ( ( ( PROP @ Xp ) & 97.36/12.89 ( ![Xx0:a,Xy0:a]: 97.36/12.89 ( ( ?[R:( a > a > $o )]: 97.36/12.89 ( ( ?[Q:( a > a > $o )]: 97.36/12.89 ( ( S @ Q ) & 97.36/12.89 ( ( R ) = 97.36/12.89 ( ^[Xx1:a,Xy1:a]: 97.36/12.89 ( ![Xp0:( a > a > $o )]: 97.36/12.89 ( ( ( ![Xx2:a,Xy2:a]: 97.36/12.89 ( ( Q @ Xx2 @ Xy2 ) => 97.36/12.89 ( Xp0 @ Xx2 @ Xy2 ) ) ) & 97.36/12.89 ( PROP @ Xp0 ) ) => 97.36/12.89 ( Xp0 @ Xx1 @ Xy1 ) ) ) ) ) ) ) & 97.36/12.89 ( R @ Xx0 @ Xy0 ) ) ) => 97.36/12.89 ( Xp @ Xx0 @ Xy0 ) ) ) ) => 97.36/12.89 ( Xp @ Xx @ Xy ) ) ) ) ) )), 97.36/12.89 inference('cnf.neg', [status(esa)], [cTHM254_pme])). 97.36/12.89 thf(zip_derived_cl0, plain, 97.36/12.89 (~ (((!!) @ (^[Y0 : (a > a > $o) > $o]: 97.36/12.89 (((!!) @ (^[Y1 : (a > a > $o) > $o]: 97.36/12.89 ((((^[Y2 : a,Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y5 : a]: 97.36/12.89 (((!!) @ ( 97.36/12.89 ^[Y6 : a]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (??) @ ( 97.36/12.89 ^[Y7 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (Y1 @ 97.36/12.89 Y7) & 97.36/12.89 (Y7 @ 97.36/12.89 Y5 @ Y6)))))) => 97.36/12.89 (Y4 @ 97.36/12.89 Y5 @ Y6))))))))) & 97.36/12.89 (Y0 @ Y4))) => 97.36/12.89 (Y4 @ Y2 @ Y3)))))))) = 97.36/12.89 ((^[Y2 : a,Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a > a > $o]: 97.36/12.89 (((((Y0 @ Y4) & 97.36/12.89 (((!!) @ (^[Y5 : a]: 97.36/12.89 (((!!) @ ( 97.36/12.89 ^[Y6 : a]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (??) @ ( 97.36/12.89 ^[Y7 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (??) @ ( 97.36/12.89 ^[Y8 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (Y1 @ 97.36/12.89 Y8) & 97.36/12.89 (( 97.36/12.89 (Y7) = 97.36/12.89 (( 97.36/12.89 ^[Y9 : a, 97.36/12.89 Y10 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y11 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y12 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y13 : a]: 97.36/12.89 (( 97.36/12.89 (Y8 @ 97.36/12.89 Y12 @ 97.36/12.89 Y13) => 97.36/12.89 (Y11 @ 97.36/12.89 Y12 @ 97.36/12.89 Y13))))))))) & 97.36/12.89 (Y0 @ 97.36/12.89 Y11))) => 97.36/12.89 (Y11 @ 97.36/12.89 Y9 @ Y10))))))))))))))) & 97.36/12.89 (Y7 @ 97.36/12.89 Y5 @ Y6)))))) => 97.36/12.89 (Y4 @ 97.36/12.89 Y5 @ Y6))))))))))) => 97.36/12.89 (Y4 @ Y2 @ Y3))))))))))))))))), 97.36/12.89 inference('cnf', [status(esa)], [zf_stmt_0])). 97.36/12.89 thf(zip_derived_cl1, plain, 97.36/12.89 (~ (((!!) @ (^[Y0 : (a > a > $o) > $o]: 97.36/12.89 ((((^[Y1 : a,Y2 : a]: 97.36/12.89 (((!!) @ (^[Y3 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y4 : a]: 97.36/12.89 (((!!) @ (^[Y5 : a]: 97.36/12.89 (((( 97.36/12.89 (??) @ ( 97.36/12.89 ^[Y6 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (Y0 @ 97.36/12.89 Y6) & 97.36/12.89 (Y6 @ 97.36/12.89 Y4 @ Y5)))))) => 97.36/12.89 (Y3 @ 97.36/12.89 Y4 @ Y5))))))))) & 97.36/12.89 ('#sk1' @ Y3))) => 97.36/12.89 (Y3 @ Y1 @ Y2)))))))) = 97.36/12.89 ((^[Y1 : a,Y2 : a]: 97.36/12.89 (((!!) @ (^[Y3 : a > a > $o]: 97.36/12.89 ((((('#sk1' @ Y3) & 97.36/12.89 (((!!) @ (^[Y4 : a]: 97.36/12.89 (((!!) @ (^[Y5 : a]: 97.36/12.89 (((( 97.36/12.89 (??) @ ( 97.36/12.89 ^[Y6 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (??) @ ( 97.36/12.89 ^[Y7 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (Y0 @ 97.36/12.89 Y7) & 97.36/12.89 (( 97.36/12.89 (Y6) = 97.36/12.89 (( 97.36/12.89 ^[Y8 : a, 97.36/12.89 Y9 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y10 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y11 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y12 : a]: 97.36/12.89 (( 97.36/12.89 (Y7 @ 97.36/12.89 Y11 @ 97.36/12.89 Y12) => 97.36/12.89 (Y10 @ 97.36/12.89 Y11 @ 97.36/12.89 Y12))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y10))) => 97.36/12.89 (Y10 @ 97.36/12.89 Y8 @ Y9))))))))))))))) & 97.36/12.89 (Y6 @ 97.36/12.89 Y4 @ Y5)))))) => 97.36/12.89 (Y3 @ 97.36/12.89 Y4 @ Y5))))))))))) => 97.36/12.89 (Y3 @ Y1 @ Y2)))))))))))))), 97.36/12.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 97.36/12.89 thf(zip_derived_cl2, plain, 97.36/12.89 (~ ((((^[Y0 : a,Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a]: 97.36/12.89 (((((??) @ (^[Y5 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 ('#sk2' @ 97.36/12.89 Y5) & 97.36/12.89 (Y5 @ 97.36/12.89 Y3 @ Y4)))))) => 97.36/12.89 (Y2 @ Y3 @ Y4))))))))) & 97.36/12.89 ('#sk1' @ Y2))) => 97.36/12.89 (Y2 @ Y0 @ Y1)))))))) = 97.36/12.89 ((^[Y0 : a,Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.89 ((((('#sk1' @ Y2) & 97.36/12.89 (((!!) @ (^[Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a]: 97.36/12.89 (((((??) @ (^[Y5 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (??) @ ( 97.36/12.89 ^[Y6 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 ('#sk2' @ 97.36/12.89 Y6) & 97.36/12.89 (( 97.36/12.89 (Y5) = 97.36/12.89 (( 97.36/12.89 ^[Y7 : a, 97.36/12.89 Y8 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y9 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y10 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y11 : a]: 97.36/12.89 (( 97.36/12.89 (Y6 @ 97.36/12.89 Y10 @ 97.36/12.89 Y11) => 97.36/12.89 (Y9 @ 97.36/12.89 Y10 @ 97.36/12.89 Y11))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y9))) => 97.36/12.89 (Y9 @ 97.36/12.89 Y7 @ Y8))))))))))))))) & 97.36/12.89 (Y5 @ 97.36/12.89 Y3 @ Y4)))))) => 97.36/12.89 (Y2 @ Y3 @ Y4))))))))))) => 97.36/12.89 (Y2 @ Y0 @ Y1))))))))))), 97.36/12.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 97.36/12.89 thf(zip_derived_cl3, plain, 97.36/12.89 ((((^[Y0 : a,Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a]: 97.36/12.89 (((((??) @ (^[Y5 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y5) & 97.36/12.89 (Y5 @ Y3 @ 97.36/12.89 Y4)))))) => 97.36/12.89 (Y2 @ Y3 @ Y4))))))))) & 97.36/12.89 ('#sk1' @ Y2))) => 97.36/12.89 (Y2 @ Y0 @ Y1)))))))) 97.36/12.89 != ((^[Y0 : a,Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.89 ((((('#sk1' @ Y2) & 97.36/12.89 (((!!) @ (^[Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a]: 97.36/12.89 (((((??) @ (^[Y5 : 97.36/12.89 a > a > $o]: 97.36/12.89 ( 97.36/12.89 ( 97.36/12.89 (( 97.36/12.89 (??) @ ( 97.36/12.89 ^[Y6 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 ('#sk2' @ 97.36/12.89 Y6) & 97.36/12.89 (( 97.36/12.89 (Y5) = 97.36/12.89 (( 97.36/12.89 ^[Y7 : a, 97.36/12.89 Y8 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y9 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y10 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y11 : a]: 97.36/12.89 (( 97.36/12.89 (Y6 @ 97.36/12.89 Y10 @ 97.36/12.89 Y11) => 97.36/12.89 (Y9 @ 97.36/12.89 Y10 @ 97.36/12.89 Y11))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y9))) => 97.36/12.89 (Y9 @ 97.36/12.89 Y7 @ Y8))))))))))))))) & 97.36/12.89 (Y5 @ 97.36/12.89 Y3 @ Y4)))))) => 97.36/12.89 (Y2 @ Y3 @ Y4))))))))))) => 97.36/12.89 (Y2 @ Y0 @ Y1)))))))))), 97.36/12.89 inference('simplify nested equalities', [status(thm)], [zip_derived_cl2])). 97.36/12.89 thf(zip_derived_cl4, plain, 97.36/12.89 (((((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 (^[Y4 : a, 97.36/12.89 Y5 : a]: 97.36/12.89 (Y3 @ Y4 @ 97.36/12.89 Y5))) & 97.36/12.89 (Y3 @ Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ (^[Y1 : a,Y2 : a]: (Y0 @ Y1 @ Y2))))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))) 97.36/12.89 != (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 ((((('#sk1' @ (^[Y1 : a,Y2 : a]: (Y0 @ Y1 @ Y2))) & 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 (((((??) @ ( 97.36/12.89 ^[Y4 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 ('#sk2' @ 97.36/12.89 ( 97.36/12.89 ^[Y5 : a, 97.36/12.89 Y6 : a]: 97.36/12.89 (Y4 @ 97.36/12.89 Y5 @ Y6))) & 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 ^[Y5 : a, 97.36/12.89 Y6 : a]: 97.36/12.89 (Y3 @ 97.36/12.89 Y5 @ Y6))) = 97.36/12.89 (( 97.36/12.89 ^[Y5 : a, 97.36/12.89 Y6 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y9 : a]: 97.36/12.89 (( 97.36/12.89 (Y4 @ 97.36/12.89 Y8 @ 97.36/12.89 Y9) => 97.36/12.89 (Y7 @ 97.36/12.89 Y8 @ Y9))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 ( 97.36/12.89 ^[Y8 : a, 97.36/12.89 Y9 : a]: 97.36/12.89 (Y7 @ 97.36/12.89 Y8 @ Y9))))) => 97.36/12.89 (Y7 @ 97.36/12.89 Y5 @ Y6))))))))))))))) & 97.36/12.89 (Y3 @ Y1 @ 97.36/12.89 Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))))), 97.36/12.89 inference('neg_ext', [status(thm)], [zip_derived_cl3])). 97.36/12.89 thf(zip_derived_cl7, plain, 97.36/12.89 (((((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y3) & 97.36/12.89 (Y3 @ Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))) 97.36/12.89 != (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 ((((('#sk1' @ Y0) & 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 (((((??) @ ( 97.36/12.89 ^[Y4 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 ('#sk2' @ 97.36/12.89 Y4) & 97.36/12.89 (( 97.36/12.89 (Y3) = 97.36/12.89 (( 97.36/12.89 ^[Y5 : a, 97.36/12.89 Y6 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y9 : a]: 97.36/12.89 (( 97.36/12.89 (Y4 @ 97.36/12.89 Y8 @ 97.36/12.89 Y9) => 97.36/12.89 (Y7 @ 97.36/12.89 Y8 @ Y9))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y7))) => 97.36/12.89 (Y7 @ 97.36/12.89 Y5 @ Y6))))))))))))))) & 97.36/12.89 (Y3 @ Y1 @ 97.36/12.89 Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))))), 97.36/12.89 inference('ho_norm', [status(thm)], [zip_derived_cl4])). 97.36/12.89 thf(zip_derived_cl12, plain, 97.36/12.89 (((((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y3) & 97.36/12.89 (Y3 @ Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))) 97.36/12.89 != ((^[Y0 : a > a > $o]: 97.36/12.89 ((((('#sk1' @ (^[Y1 : a,Y2 : a]: (Y0 @ Y1 @ Y2))) & 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y4 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 ('#sk2' @ 97.36/12.89 ( 97.36/12.89 ^[Y5 : a, 97.36/12.89 Y6 : a]: 97.36/12.89 (Y4 @ 97.36/12.89 Y5 @ Y6))) & 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 ^[Y5 : a, 97.36/12.89 Y6 : a]: 97.36/12.89 (Y3 @ 97.36/12.89 Y5 @ Y6))) = 97.36/12.89 (( 97.36/12.89 ^[Y5 : a, 97.36/12.89 Y6 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y9 : a]: 97.36/12.89 (( 97.36/12.89 (Y4 @ 97.36/12.89 Y8 @ 97.36/12.89 Y9) => 97.36/12.89 (Y7 @ 97.36/12.89 Y8 @ Y9))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 ( 97.36/12.89 ^[Y8 : a, 97.36/12.89 Y9 : a]: 97.36/12.89 (Y7 @ 97.36/12.89 Y8 @ Y9))))) => 97.36/12.89 (Y7 @ 97.36/12.89 Y5 @ Y6))))))))))))))) & 97.36/12.89 (Y3 @ Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))) @ 97.36/12.89 '#sk5'))), 97.36/12.89 inference('quantifier_rw', [status(thm)], [zip_derived_cl7])). 97.36/12.89 thf(zip_derived_cl13, plain, 97.36/12.89 (((((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y3) & 97.36/12.89 (Y3 @ Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))) 97.36/12.89 != ((((('#sk1' @ '#sk5') & 97.36/12.89 (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (( 97.36/12.89 (Y2) = 97.36/12.89 (( 97.36/12.89 ^[Y4 : a, 97.36/12.89 Y5 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y6 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (Y3 @ 97.36/12.89 Y7 @ 97.36/12.89 Y8) => 97.36/12.89 (Y6 @ 97.36/12.89 Y7 @ Y8))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y6))) => 97.36/12.89 (Y6 @ 97.36/12.89 Y4 @ Y5))))))))))))))) & 97.36/12.89 (Y2 @ Y0 @ Y1)))))) => 97.36/12.89 ('#sk5' @ Y0 @ Y1))))))))))) => 97.36/12.89 ('#sk5' @ '#sk3' @ '#sk4'))))), 97.36/12.89 inference('ho_norm', [status(thm)], [zip_derived_cl12])). 97.36/12.89 thf(zip_derived_cl45, plain, 97.36/12.89 ((~ (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & (Y3 @ 97.36/12.89 Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))) 97.36/12.89 | ~ ((((('#sk1' @ '#sk5') & 97.36/12.89 (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (( 97.36/12.89 (Y2) = 97.36/12.89 (( 97.36/12.89 ^[Y4 : a, 97.36/12.89 Y5 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y6 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (Y3 @ 97.36/12.89 Y7 @ 97.36/12.89 Y8) => 97.36/12.89 (Y6 @ 97.36/12.89 Y7 @ Y8))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y6))) => 97.36/12.89 (Y6 @ 97.36/12.89 Y4 @ Y5))))))))))))))) & 97.36/12.89 (Y2 @ Y0 @ Y1)))))) => 97.36/12.89 ('#sk5' @ Y0 @ Y1))))))))))) => 97.36/12.89 ('#sk5' @ '#sk3' @ '#sk4'))))), 97.36/12.89 inference('eq_elim', [status(thm)], [zip_derived_cl13])). 97.36/12.89 thf(zip_derived_cl45, plain, 97.36/12.89 ((~ (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & (Y3 @ 97.36/12.89 Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))) 97.36/12.89 | ~ ((((('#sk1' @ '#sk5') & 97.36/12.89 (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (( 97.36/12.89 (Y2) = 97.36/12.89 (( 97.36/12.89 ^[Y4 : a, 97.36/12.89 Y5 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y6 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (Y3 @ 97.36/12.89 Y7 @ 97.36/12.89 Y8) => 97.36/12.89 (Y6 @ 97.36/12.89 Y7 @ Y8))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y6))) => 97.36/12.89 (Y6 @ 97.36/12.89 Y4 @ Y5))))))))))))))) & 97.36/12.89 (Y2 @ Y0 @ Y1)))))) => 97.36/12.89 ('#sk5' @ Y0 @ Y1))))))))))) => 97.36/12.89 ('#sk5' @ '#sk3' @ '#sk4'))))), 97.36/12.89 inference('eq_elim', [status(thm)], [zip_derived_cl13])). 97.36/12.89 thf(zip_derived_cl58, plain, 97.36/12.89 (( ('#form18') 97.36/12.89 | ~ (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (Y3 @ Y1 @ 97.36/12.89 Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))))), 97.36/12.89 define([status(thm)])). 97.36/12.89 thf(zip_derived_cl7, plain, 97.36/12.89 (((((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y3) & 97.36/12.89 (Y3 @ Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))) 97.36/12.89 != (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 ((((('#sk1' @ Y0) & 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 (((((??) @ ( 97.36/12.89 ^[Y4 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 ('#sk2' @ 97.36/12.89 Y4) & 97.36/12.89 (( 97.36/12.89 (Y3) = 97.36/12.89 (( 97.36/12.89 ^[Y5 : a, 97.36/12.89 Y6 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y9 : a]: 97.36/12.89 (( 97.36/12.89 (Y4 @ 97.36/12.89 Y8 @ 97.36/12.89 Y9) => 97.36/12.89 (Y7 @ 97.36/12.89 Y8 @ Y9))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y7))) => 97.36/12.89 (Y7 @ 97.36/12.89 Y5 @ Y6))))))))))))))) & 97.36/12.89 (Y3 @ Y1 @ 97.36/12.89 Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))))), 97.36/12.89 inference('ho_norm', [status(thm)], [zip_derived_cl4])). 97.36/12.89 thf(zip_derived_cl8, plain, 97.36/12.89 (![X-81 : a > a > $o]: 97.36/12.89 ( ((^[Y0 : a > a > $o]: 97.36/12.89 ((((('#sk1' @ Y0) & 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y4 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 ('#sk2' @ 97.36/12.89 Y4) & 97.36/12.89 (( 97.36/12.89 (Y3) = 97.36/12.89 (( 97.36/12.89 ^[Y5 : a, 97.36/12.89 Y6 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y9 : a]: 97.36/12.89 (( 97.36/12.89 (Y4 @ 97.36/12.89 Y8 @ 97.36/12.89 Y9) => 97.36/12.89 (Y7 @ 97.36/12.89 Y8 @ Y9))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y7))) => 97.36/12.89 (Y7 @ 97.36/12.89 Y5 @ Y6))))))))))))))) & 97.36/12.89 (Y3 @ Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))) @ 97.36/12.89 X-81) 97.36/12.89 | (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (Y3 @ 97.36/12.89 Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))))), 97.36/12.89 inference('forall_hoist', [status(thm)], [zip_derived_cl7])). 97.36/12.89 thf(zip_derived_cl14, plain, 97.36/12.89 (![X-81 : a > a > $o]: 97.36/12.89 ( ((((('#sk1' @ X-81) & 97.36/12.89 (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (( 97.36/12.89 (Y2) = 97.36/12.89 (( 97.36/12.89 ^[Y4 : a, 97.36/12.89 Y5 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y6 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (Y3 @ 97.36/12.89 Y7 @ 97.36/12.89 Y8) => 97.36/12.89 (Y6 @ 97.36/12.89 Y7 @ Y8))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y6))) => 97.36/12.89 (Y6 @ 97.36/12.89 Y4 @ Y5))))))))))))))) & 97.36/12.89 (Y2 @ Y0 @ Y1)))))) => 97.36/12.89 (X-81 @ Y0 @ Y1))))))))))) => 97.36/12.89 (X-81 @ '#sk3' @ '#sk4'))) 97.36/12.89 | (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (Y3 @ 97.36/12.89 Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))))), 97.36/12.89 inference('ho_norm', [status(thm)], [zip_derived_cl8])). 97.36/12.89 thf(zip_derived_cl15, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 ( ((((('#sk1' @ X0) & 97.36/12.89 (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (( 97.36/12.89 (Y2) = 97.36/12.89 (( 97.36/12.89 ^[Y4 : a, 97.36/12.89 Y5 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y6 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (Y3 @ 97.36/12.89 Y7 @ 97.36/12.89 Y8) => 97.36/12.89 (Y6 @ 97.36/12.89 Y7 @ Y8))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y6))) => 97.36/12.89 (Y6 @ 97.36/12.89 Y4 @ Y5))))))))))))))) & 97.36/12.89 (Y2 @ Y0 @ Y1)))))) => 97.36/12.89 (X0 @ Y0 @ Y1))))))))))) => 97.36/12.89 (X0 @ '#sk3' @ '#sk4'))) 97.36/12.89 | (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (Y3 @ 97.36/12.89 Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))))), 97.36/12.89 inference('cannonize vars', [status(thm)], [zip_derived_cl14])). 97.36/12.89 thf(zip_derived_cl16, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 (~ ((('#sk1' @ X0) & 97.36/12.89 (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (((Y2) = 97.36/12.89 (( 97.36/12.89 ^[Y4 : a, 97.36/12.89 Y5 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y6 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (Y3 @ 97.36/12.89 Y7 @ 97.36/12.89 Y8) => 97.36/12.89 (Y6 @ 97.36/12.89 Y7 @ Y8))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y6))) => 97.36/12.89 (Y6 @ 97.36/12.89 Y4 @ Y5))))))))))))))) & 97.36/12.89 (Y2 @ Y0 @ Y1)))))) => 97.36/12.89 (X0 @ Y0 @ Y1))))))))))) 97.36/12.89 | (X0 @ '#sk3' @ '#sk4') 97.36/12.89 | (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (Y3 @ 97.36/12.89 Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 97.36/12.89 thf(zip_derived_cl17, plain, 97.36/12.89 ((~ ('#form18') 97.36/12.89 | (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & (Y3 @ 97.36/12.89 Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))))), 97.36/12.89 define([status(thm)])). 97.36/12.89 thf(zip_derived_cl62, plain, 97.36/12.89 ((~ ('#form18') 97.36/12.89 | ~ ((((('#sk1' @ '#sk5') & 97.36/12.89 (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (( 97.36/12.89 (Y2) = 97.36/12.89 (( 97.36/12.89 ^[Y4 : a, 97.36/12.89 Y5 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y6 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (Y3 @ 97.36/12.89 Y7 @ 97.36/12.89 Y8) => 97.36/12.89 (Y6 @ 97.36/12.89 Y7 @ Y8))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y6))) => 97.36/12.89 (Y6 @ 97.36/12.89 Y4 @ Y5))))))))))))))) & 97.36/12.89 (Y2 @ Y0 @ Y1)))))) => 97.36/12.89 ('#sk5' @ Y0 @ Y1))))))))))) => 97.36/12.89 ('#sk5' @ '#sk3' @ '#sk4'))))), 97.36/12.89 inference('renaming', [status(thm)], 97.36/12.89 [zip_derived_cl45, zip_derived_cl58, zip_derived_cl17])). 97.36/12.89 thf(zip_derived_cl63, plain, 97.36/12.89 (( ((('#sk1' @ '#sk5') & 97.36/12.89 (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y3 : a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (((Y2) = 97.36/12.89 ((^[Y4 : a, 97.36/12.89 Y5 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y6 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (Y3 @ 97.36/12.89 Y7 @ 97.36/12.89 Y8) => 97.36/12.89 (Y6 @ 97.36/12.89 Y7 @ Y8))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y6))) => 97.36/12.89 (Y6 @ 97.36/12.89 Y4 @ Y5))))))))))))))) & 97.36/12.89 (Y2 @ Y0 @ Y1)))))) => 97.36/12.89 ('#sk5' @ Y0 @ Y1))))))))))) 97.36/12.89 | ~ ('#form18'))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])). 97.36/12.89 thf(zip_derived_cl67, plain, (( ('#sk1' @ '#sk5') | ~ ('#form18'))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl63])). 97.36/12.89 thf(zip_derived_cl17, plain, 97.36/12.89 ((~ ('#form18') 97.36/12.89 | (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & (Y3 @ 97.36/12.89 Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))))), 97.36/12.89 define([status(thm)])). 97.36/12.89 thf(zip_derived_cl18, plain, 97.36/12.89 (![X2 : a > a > $o]: 97.36/12.89 ( (((((((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y2) & (Y2 @ 97.36/12.89 Y0 @ Y1)))))) => 97.36/12.89 (X2 @ Y0 @ Y1))))))))) & 97.36/12.89 ('#sk1' @ X2))) => 97.36/12.89 (X2 @ '#sk3' @ '#sk4'))) 97.36/12.89 | ~ ('#form18'))), 97.36/12.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 97.36/12.89 thf(zip_derived_cl24, plain, 97.36/12.89 (![X2 : a > a > $o]: 97.36/12.89 (~ (((((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y2) & (Y2 @ 97.36/12.89 Y0 @ Y1)))))) => 97.36/12.89 (X2 @ Y0 @ Y1))))))))) & 97.36/12.89 ('#sk1' @ X2))) 97.36/12.89 | (X2 @ '#sk3' @ '#sk4') 97.36/12.89 | ~ ('#form18'))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 97.36/12.89 thf(zip_derived_cl26, plain, 97.36/12.89 (![X2 : a > a > $o]: 97.36/12.89 (~ (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y2) & (Y2 @ Y0 @ 97.36/12.89 Y1)))))) => 97.36/12.89 (X2 @ Y0 @ Y1))))))))) 97.36/12.89 | ~ ('#sk1' @ X2) 97.36/12.89 | ~ ('#form18') 97.36/12.89 | (X2 @ '#sk3' @ '#sk4'))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl24])). 97.36/12.89 thf(zip_derived_cl28, plain, 97.36/12.89 (![X2 : a > a > $o]: 97.36/12.89 (~ (((!!) @ (^[Y0 : a]: 97.36/12.89 (((((??) @ (^[Y1 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y1) & (Y1 @ ('#sk48' @ X2) @ 97.36/12.89 Y0)))))) => 97.36/12.89 (X2 @ ('#sk48' @ X2) @ Y0)))))) 97.36/12.89 | (X2 @ '#sk3' @ '#sk4') 97.36/12.89 | ~ ('#form18') 97.36/12.89 | ~ ('#sk1' @ X2))), 97.36/12.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl26])). 97.36/12.89 thf(zip_derived_cl31, plain, 97.36/12.89 (![X2 : a > a > $o]: 97.36/12.89 (~ (((((??) @ (^[Y0 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y0) & (Y0 @ ('#sk48' @ X2) @ 97.36/12.89 ('#sk66' @ X2))))))) => 97.36/12.89 (X2 @ ('#sk48' @ X2) @ ('#sk66' @ X2)))) 97.36/12.89 | ~ ('#sk1' @ X2) 97.36/12.89 | ~ ('#form18') 97.36/12.89 | (X2 @ '#sk3' @ '#sk4'))), 97.36/12.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl28])). 97.36/12.89 thf(zip_derived_cl34, plain, 97.36/12.89 (![X2 : a > a > $o]: 97.36/12.89 (~ (X2 @ ('#sk48' @ X2) @ ('#sk66' @ X2)) 97.36/12.89 | (X2 @ '#sk3' @ '#sk4') 97.36/12.89 | ~ ('#form18') 97.36/12.89 | ~ ('#sk1' @ X2))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl31])). 97.36/12.89 thf(zip_derived_cl199, plain, 97.36/12.89 ((~ ('#form18') 97.36/12.89 | ~ ('#form18') 97.36/12.89 | ('#sk5' @ '#sk3' @ '#sk4') 97.36/12.89 | ~ ('#sk5' @ ('#sk48' @ '#sk5') @ ('#sk66' @ '#sk5')))), 97.36/12.89 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl34])). 97.36/12.89 thf(zip_derived_cl202, plain, 97.36/12.89 ((~ ('#sk5' @ ('#sk48' @ '#sk5') @ ('#sk66' @ '#sk5')) 97.36/12.89 | ('#sk5' @ '#sk3' @ '#sk4') 97.36/12.89 | ~ ('#form18'))), 97.36/12.89 inference('simplify', [status(thm)], [zip_derived_cl199])). 97.36/12.89 thf(zip_derived_cl64, plain, 97.36/12.89 ((~ ('#sk5' @ '#sk3' @ '#sk4') | ~ ('#form18'))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])). 97.36/12.89 thf(zip_derived_cl204, plain, 97.36/12.89 ((~ ('#form18') | ~ ('#sk5' @ ('#sk48' @ '#sk5') @ ('#sk66' @ '#sk5')))), 97.36/12.89 inference('clc', [status(thm)], [zip_derived_cl202, zip_derived_cl64])). 97.36/12.89 thf(zip_derived_cl58, plain, 97.36/12.89 (( ('#form18') 97.36/12.89 | ~ (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (Y3 @ Y1 @ 97.36/12.89 Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))))), 97.36/12.89 define([status(thm)])). 97.36/12.89 thf(zip_derived_cl61, plain, 97.36/12.89 ((~ (((((((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y2) & (Y2 @ 97.36/12.89 Y0 @ Y1)))))) => 97.36/12.89 ('#sk216' @ Y0 @ Y1))))))))) & 97.36/12.89 ('#sk1' @ '#sk216'))) => 97.36/12.89 ('#sk216' @ '#sk3' @ '#sk4'))) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl58])). 97.36/12.89 thf(zip_derived_cl65, plain, 97.36/12.89 (( (((((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y2) & (Y2 @ Y0 @ 97.36/12.89 Y1)))))) => 97.36/12.89 ('#sk216' @ Y0 @ Y1))))))))) & 97.36/12.89 ('#sk1' @ '#sk216'))) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl61])). 97.36/12.89 thf(zip_derived_cl70, plain, (( ('#sk1' @ '#sk216') | ('#form18'))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl65])). 97.36/12.89 thf(zip_derived_cl16, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 (~ ((('#sk1' @ X0) & 97.36/12.89 (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (((Y2) = 97.36/12.89 (( 97.36/12.89 ^[Y4 : a, 97.36/12.89 Y5 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y6 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (Y3 @ 97.36/12.89 Y7 @ 97.36/12.89 Y8) => 97.36/12.89 (Y6 @ 97.36/12.89 Y7 @ Y8))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y6))) => 97.36/12.89 (Y6 @ 97.36/12.89 Y4 @ Y5))))))))))))))) & 97.36/12.89 (Y2 @ Y0 @ Y1)))))) => 97.36/12.89 (X0 @ Y0 @ Y1))))))))))) 97.36/12.89 | (X0 @ '#sk3' @ '#sk4') 97.36/12.89 | (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (Y3 @ 97.36/12.89 Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 97.36/12.89 thf(zip_derived_cl17, plain, 97.36/12.89 ((~ ('#form18') 97.36/12.89 | (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 (((((??) @ (^[Y3 : a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & (Y3 @ 97.36/12.89 Y1 @ Y2)))))) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ '#sk3' @ '#sk4')))))))), 97.36/12.89 define([status(thm)])). 97.36/12.89 thf(zip_derived_cl22, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 ( ('#form18') 97.36/12.89 | (X0 @ '#sk3' @ '#sk4') 97.36/12.89 | ~ ((('#sk1' @ X0) & 97.36/12.89 (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (( 97.36/12.89 (Y2) = 97.36/12.89 (( 97.36/12.89 ^[Y4 : a, 97.36/12.89 Y5 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y6 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (Y3 @ 97.36/12.89 Y7 @ 97.36/12.89 Y8) => 97.36/12.89 (Y6 @ 97.36/12.89 Y7 @ Y8))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y6))) => 97.36/12.89 (Y6 @ 97.36/12.89 Y4 @ Y5))))))))))))))) & 97.36/12.89 (Y2 @ Y0 @ Y1)))))) => 97.36/12.89 (X0 @ Y0 @ Y1))))))))))))), 97.36/12.89 inference('renaming', [status(thm)], [zip_derived_cl16, zip_derived_cl17])). 97.36/12.89 thf(zip_derived_cl23, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 (~ ('#sk1' @ X0) 97.36/12.89 | ~ (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y3 : 97.36/12.89 a > a > $o]: 97.36/12.89 ((('#sk2' @ 97.36/12.89 Y3) & 97.36/12.89 (((Y2) = 97.36/12.89 (( 97.36/12.89 ^[Y4 : a, 97.36/12.89 Y5 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y6 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (Y3 @ 97.36/12.89 Y7 @ 97.36/12.89 Y8) => 97.36/12.89 (Y6 @ 97.36/12.89 Y7 @ Y8))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y6))) => 97.36/12.89 (Y6 @ 97.36/12.89 Y4 @ Y5))))))))))))))) & 97.36/12.89 (Y2 @ Y0 @ Y1)))))) => 97.36/12.89 (X0 @ Y0 @ Y1))))))))) 97.36/12.89 | (X0 @ '#sk3' @ '#sk4') 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl22])). 97.36/12.89 thf(zip_derived_cl25, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 (~ (((!!) @ (^[Y0 : a]: 97.36/12.89 (((((??) @ (^[Y1 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y2) & 97.36/12.89 (((Y1) = 97.36/12.89 ((^[Y3 : a,Y4 : a]: 97.36/12.89 (((!!) @ (^[Y5 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y6 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : a]: 97.36/12.89 (( 97.36/12.89 (Y2 @ 97.36/12.89 Y6 @ 97.36/12.89 Y7) => 97.36/12.89 (Y5 @ 97.36/12.89 Y6 @ Y7))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y5))) => 97.36/12.89 (Y5 @ 97.36/12.89 Y3 @ Y4))))))))))))))) & 97.36/12.89 (Y1 @ ('#sk31' @ X0) @ Y0)))))) => 97.36/12.89 (X0 @ ('#sk31' @ X0) @ Y0)))))) 97.36/12.89 | ('#form18') 97.36/12.89 | (X0 @ '#sk3' @ '#sk4') 97.36/12.89 | ~ ('#sk1' @ X0))), 97.36/12.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl23])). 97.36/12.89 thf(zip_derived_cl27, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 (~ (((((??) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y1 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y1) & 97.36/12.89 (((Y0) = 97.36/12.89 ((^[Y2 : a,Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a > a > $o]: 97.36/12.89 (((((((!!) @ ( 97.36/12.89 ^[Y5 : a]: 97.36/12.89 (((!!) @ ( 97.36/12.89 ^[Y6 : a]: 97.36/12.89 (( 97.36/12.89 (Y1 @ 97.36/12.89 Y5 @ 97.36/12.89 Y6) => 97.36/12.89 (Y4 @ 97.36/12.89 Y5 @ Y6))))))))) & 97.36/12.89 ('#sk1' @ Y4))) => 97.36/12.89 (Y4 @ Y2 @ Y3))))))))))))))) & 97.36/12.89 (Y0 @ ('#sk31' @ X0) @ ('#sk43' @ X0))))))) => 97.36/12.89 (X0 @ ('#sk31' @ X0) @ ('#sk43' @ X0)))) 97.36/12.89 | ~ ('#sk1' @ X0) 97.36/12.89 | (X0 @ '#sk3' @ '#sk4') 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl25])). 97.36/12.89 thf(zip_derived_cl29, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 ( (((??) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y1 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y1) & 97.36/12.89 (((Y0) = 97.36/12.89 ((^[Y2 : a,Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a > a > $o]: 97.36/12.89 (((((((!!) @ ( 97.36/12.89 ^[Y5 : a]: 97.36/12.89 (((!!) @ ( 97.36/12.89 ^[Y6 : a]: 97.36/12.89 (( 97.36/12.89 (Y1 @ 97.36/12.89 Y5 @ 97.36/12.89 Y6) => 97.36/12.89 (Y4 @ 97.36/12.89 Y5 @ Y6))))))))) & 97.36/12.89 ('#sk1' @ Y4))) => 97.36/12.89 (Y4 @ Y2 @ Y3))))))))))))))) & 97.36/12.89 (Y0 @ ('#sk31' @ X0) @ ('#sk43' @ X0))))))) 97.36/12.89 | ('#form18') 97.36/12.89 | (X0 @ '#sk3' @ '#sk4') 97.36/12.89 | ~ ('#sk1' @ X0))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl27])). 97.36/12.89 thf(zip_derived_cl32, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 ( (((((??) @ (^[Y0 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y0) & 97.36/12.89 ((('#sk73' @ X0) = 97.36/12.89 ((^[Y1 : a,Y2 : a]: 97.36/12.89 (((!!) @ (^[Y3 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y4 : a]: 97.36/12.89 (((!!) @ ( 97.36/12.89 ^[Y5 : a]: 97.36/12.89 (((Y0 @ Y4 @ 97.36/12.89 Y5) => 97.36/12.89 (Y3 @ Y4 @ 97.36/12.89 Y5))))))))) & 97.36/12.89 ('#sk1' @ Y3))) => 97.36/12.89 (Y3 @ Y1 @ Y2))))))))))))))) & 97.36/12.89 ('#sk73' @ X0 @ ('#sk31' @ X0) @ ('#sk43' @ X0)))) 97.36/12.89 | ~ ('#sk1' @ X0) 97.36/12.89 | (X0 @ '#sk3' @ '#sk4') 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl29])). 97.36/12.89 thf(zip_derived_cl36, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 ( ('#sk73' @ X0 @ ('#sk31' @ X0) @ ('#sk43' @ X0)) 97.36/12.89 | ('#form18') 97.36/12.89 | (X0 @ '#sk3' @ '#sk4') 97.36/12.89 | ~ ('#sk1' @ X0))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl32])). 97.36/12.89 thf(zip_derived_cl109, plain, 97.36/12.89 (( ('#form18') 97.36/12.89 | ('#sk216' @ '#sk3' @ '#sk4') 97.36/12.89 | ('#form18') 97.36/12.89 | ('#sk73' @ '#sk216' @ ('#sk31' @ '#sk216') @ ('#sk43' @ '#sk216')))), 97.36/12.89 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl36])). 97.36/12.89 thf(zip_derived_cl116, plain, 97.36/12.89 (( ('#sk73' @ '#sk216' @ ('#sk31' @ '#sk216') @ ('#sk43' @ '#sk216')) 97.36/12.89 | ('#sk216' @ '#sk3' @ '#sk4') 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('simplify', [status(thm)], [zip_derived_cl109])). 97.36/12.89 thf(zip_derived_cl66, plain, 97.36/12.89 ((~ ('#sk216' @ '#sk3' @ '#sk4') | ('#form18'))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl61])). 97.36/12.89 thf(zip_derived_cl185, plain, 97.36/12.89 (( ('#form18') 97.36/12.89 | ('#sk73' @ '#sk216' @ ('#sk31' @ '#sk216') @ ('#sk43' @ '#sk216')))), 97.36/12.89 inference('clc', [status(thm)], [zip_derived_cl116, zip_derived_cl66])). 97.36/12.89 thf(zip_derived_cl70, plain, (( ('#sk1' @ '#sk216') | ('#form18'))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl65])). 97.36/12.89 thf(zip_derived_cl35, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 ( (((??) @ (^[Y0 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y0) & 97.36/12.89 ((('#sk73' @ X0) = 97.36/12.89 ((^[Y1 : a,Y2 : a]: 97.36/12.89 (((!!) @ (^[Y3 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y4 : a]: 97.36/12.89 (((!!) @ (^[Y5 : a]: 97.36/12.89 (( 97.36/12.89 (Y0 @ 97.36/12.89 Y4 @ 97.36/12.89 Y5) => 97.36/12.89 (Y3 @ 97.36/12.89 Y4 @ Y5))))))))) & 97.36/12.89 ('#sk1' @ Y3))) => 97.36/12.89 (Y3 @ Y1 @ Y2))))))))))))))) 97.36/12.89 | ('#form18') 97.36/12.89 | (X0 @ '#sk3' @ '#sk4') 97.36/12.89 | ~ ('#sk1' @ X0))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl32])). 97.36/12.89 thf(zip_derived_cl38, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 ( ((('#sk2' @ ('#sk117' @ X0)) & 97.36/12.89 ((('#sk73' @ X0) = 97.36/12.89 ((^[Y0 : a,Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a]: 97.36/12.89 ((('#sk117' @ X0 @ 97.36/12.89 Y3 @ Y4) => (Y2 @ 97.36/12.89 Y3 @ Y4))))))))) & 97.36/12.89 ('#sk1' @ Y2))) => 97.36/12.89 (Y2 @ Y0 @ Y1)))))))))))) 97.36/12.89 | ~ ('#sk1' @ X0) 97.36/12.89 | (X0 @ '#sk3' @ '#sk4') 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl35])). 97.36/12.89 thf(zip_derived_cl42, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 ( ((('#sk73' @ X0) = 97.36/12.89 ((^[Y0 : a,Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a]: 97.36/12.89 ((('#sk117' @ X0 @ 97.36/12.89 Y3 @ Y4) => (Y2 @ 97.36/12.89 Y3 @ Y4))))))))) & 97.36/12.89 ('#sk1' @ Y2))) => 97.36/12.89 (Y2 @ Y0 @ Y1)))))))))) 97.36/12.89 | ('#form18') 97.36/12.89 | (X0 @ '#sk3' @ '#sk4') 97.36/12.89 | ~ ('#sk1' @ X0))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl38])). 97.36/12.89 thf(zip_derived_cl43, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 ((('#sk73' @ X0) 97.36/12.89 = ((^[Y0 : a,Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a]: 97.36/12.89 ((('#sk117' @ X0 @ 97.36/12.89 Y3 @ Y4) => (Y2 @ 97.36/12.89 Y3 @ Y4))))))))) & 97.36/12.89 ('#sk1' @ Y2))) => 97.36/12.89 (Y2 @ Y0 @ Y1))))))))) 97.36/12.89 | ('#form18') 97.36/12.89 | (X0 @ '#sk3' @ '#sk4') 97.36/12.89 | ~ ('#sk1' @ X0))), 97.36/12.89 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])). 97.36/12.89 thf(zip_derived_cl295, plain, 97.36/12.89 (( ('#form18') 97.36/12.89 | ('#sk216' @ '#sk3' @ '#sk4') 97.36/12.89 | ('#form18') 97.36/12.89 | (('#sk73' @ '#sk216') 97.36/12.89 = ((^[Y0 : a,Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a]: 97.36/12.89 ((('#sk117' @ 97.36/12.89 '#sk216' @ Y3 @ 97.36/12.89 Y4) => (Y2 @ Y3 @ 97.36/12.89 Y4))))))))) & 97.36/12.89 ('#sk1' @ Y2))) => 97.36/12.89 (Y2 @ Y0 @ Y1))))))))))), 97.36/12.89 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl43])). 97.36/12.89 thf(zip_derived_cl299, plain, 97.36/12.89 (((('#sk73' @ '#sk216') 97.36/12.89 = ((^[Y0 : a,Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a]: 97.36/12.89 ((('#sk117' @ 97.36/12.89 '#sk216' @ Y3 @ 97.36/12.89 Y4) => (Y2 @ Y3 @ Y4))))))))) & 97.36/12.89 ('#sk1' @ Y2))) => 97.36/12.89 (Y2 @ Y0 @ Y1))))))))) 97.36/12.89 | ('#sk216' @ '#sk3' @ '#sk4') 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('simplify', [status(thm)], [zip_derived_cl295])). 97.36/12.89 thf(zip_derived_cl66, plain, 97.36/12.89 ((~ ('#sk216' @ '#sk3' @ '#sk4') | ('#form18'))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl61])). 97.36/12.89 thf(zip_derived_cl301, plain, 97.36/12.89 (( ('#form18') 97.36/12.89 | (('#sk73' @ '#sk216') 97.36/12.89 = ((^[Y0 : a,Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a]: 97.36/12.89 ((('#sk117' @ 97.36/12.89 '#sk216' @ Y3 @ 97.36/12.89 Y4) => (Y2 @ Y3 @ 97.36/12.89 Y4))))))))) & 97.36/12.89 ('#sk1' @ Y2))) => 97.36/12.89 (Y2 @ Y0 @ Y1))))))))))), 97.36/12.89 inference('clc', [status(thm)], [zip_derived_cl299, zip_derived_cl66])). 97.36/12.89 thf(zip_derived_cl303, plain, 97.36/12.89 (![X1 : a, X2 : a]: 97.36/12.89 ((('#sk73' @ '#sk216' @ X1 @ X2) 97.36/12.89 = ((^[Y0 : a,Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a]: 97.36/12.89 ((('#sk117' @ 97.36/12.89 '#sk216' @ Y3 @ 97.36/12.89 Y4) => (Y2 @ Y3 @ 97.36/12.89 Y4))))))))) & 97.36/12.89 ('#sk1' @ Y2))) => 97.36/12.89 (Y2 @ Y0 @ Y1))))))) @ 97.36/12.89 X1 @ X2)) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('ho_complete_eq', [status(thm)], [zip_derived_cl301])). 97.36/12.89 thf(zip_derived_cl305, plain, 97.36/12.89 (![X1 : a, X2 : a]: 97.36/12.89 ((('#sk73' @ '#sk216' @ X1 @ X2) 97.36/12.89 = (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 ((('#sk117' @ '#sk216' @ 97.36/12.89 Y1 @ Y2) => (Y0 @ Y1 @ 97.36/12.89 Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ X1 @ X2))))))) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('ho_norm', [status(thm)], [zip_derived_cl303])). 97.36/12.89 thf(zip_derived_cl306, plain, 97.36/12.89 (![X-1059 : a > a > $o, X1 : a, X2 : a]: 97.36/12.89 ( ((^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 ((('#sk117' @ '#sk216' @ Y1 @ Y2) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ X1 @ X2)))) @ 97.36/12.89 X-1059) 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X2) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('forall_hoist', [status(thm)], [zip_derived_cl305])). 97.36/12.89 thf(zip_derived_cl307, plain, 97.36/12.89 (![X0 : a, X1 : a]: 97.36/12.89 ( (((((((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 ((('#sk117' @ '#sk216' @ Y0 @ Y1) => 97.36/12.89 ('#sk216' @ Y0 @ Y1))))))))) & 97.36/12.89 ('#sk1' @ '#sk216'))) => 97.36/12.89 ('#sk216' @ X1 @ X0))) 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X0) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('triggered_bool_instantiation', [status(thm)], 97.36/12.89 [zip_derived_cl306])). 97.36/12.89 thf(zip_derived_cl480, plain, 97.36/12.89 (![X0 : a, X1 : a]: 97.36/12.89 (~ (((((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 ((('#sk117' @ '#sk216' @ Y0 @ Y1) => 97.36/12.89 ('#sk216' @ Y0 @ Y1))))))))) & 97.36/12.89 ('#sk1' @ '#sk216'))) 97.36/12.89 | ('#sk216' @ X1 @ X0) 97.36/12.89 | ('#form18') 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X0))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl307])). 97.36/12.89 thf(zip_derived_cl481, plain, 97.36/12.89 (![X0 : a, X1 : a]: 97.36/12.89 (~ (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 ((('#sk117' @ '#sk216' @ Y0 @ Y1) => 97.36/12.89 ('#sk216' @ Y0 @ Y1))))))))) 97.36/12.89 | ~ ('#sk1' @ '#sk216') 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X0) 97.36/12.89 | ('#form18') 97.36/12.89 | ('#sk216' @ X1 @ X0))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl480])). 97.36/12.89 thf(zip_derived_cl70, plain, (( ('#sk1' @ '#sk216') | ('#form18'))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl65])). 97.36/12.89 thf(zip_derived_cl482, plain, 97.36/12.89 (![X0 : a, X1 : a]: 97.36/12.89 ( ('#sk216' @ X1 @ X0) 97.36/12.89 | ('#form18') 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X0) 97.36/12.89 | ~ (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 ((('#sk117' @ '#sk216' @ Y0 @ Y1) => 97.36/12.89 ('#sk216' @ Y0 @ Y1))))))))))), 97.36/12.89 inference('clc', [status(thm)], [zip_derived_cl481, zip_derived_cl70])). 97.36/12.89 thf(zip_derived_cl483, plain, 97.36/12.89 (![X0 : a, X1 : a]: 97.36/12.89 (~ (((!!) @ (^[Y0 : a]: 97.36/12.89 ((('#sk117' @ '#sk216' @ ('#sk430' @ '#sk216') @ Y0) => 97.36/12.89 ('#sk216' @ ('#sk430' @ '#sk216') @ Y0)))))) 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X0) 97.36/12.89 | ('#form18') 97.36/12.89 | ('#sk216' @ X1 @ X0))), 97.36/12.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl482])). 97.36/12.89 thf(zip_derived_cl484, plain, 97.36/12.89 (![X0 : a, X1 : a]: 97.36/12.89 (~ ((('#sk117' @ '#sk216' @ ('#sk430' @ '#sk216') @ 97.36/12.89 ('#sk438' @ '#sk216')) => ('#sk216' @ ('#sk430' @ '#sk216') @ 97.36/12.89 ('#sk438' @ '#sk216')))) 97.36/12.89 | ('#sk216' @ X1 @ X0) 97.36/12.89 | ('#form18') 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X0))), 97.36/12.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl483])). 97.36/12.89 thf(zip_derived_cl486, plain, 97.36/12.89 (![X0 : a, X1 : a]: 97.36/12.89 (~ ('#sk216' @ ('#sk430' @ '#sk216') @ ('#sk438' @ '#sk216')) 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X0) 97.36/12.89 | ('#form18') 97.36/12.89 | ('#sk216' @ X1 @ X0))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl484])). 97.36/12.89 thf(zip_derived_cl70, plain, (( ('#sk1' @ '#sk216') | ('#form18'))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl65])). 97.36/12.89 thf(zip_derived_cl41, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 ( ('#sk2' @ ('#sk117' @ X0)) 97.36/12.89 | ('#form18') 97.36/12.89 | (X0 @ '#sk3' @ '#sk4') 97.36/12.89 | ~ ('#sk1' @ X0))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl38])). 97.36/12.89 thf(zip_derived_cl108, plain, 97.36/12.89 (( ('#form18') 97.36/12.89 | ('#sk216' @ '#sk3' @ '#sk4') 97.36/12.89 | ('#form18') 97.36/12.89 | ('#sk2' @ ('#sk117' @ '#sk216')))), 97.36/12.89 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl41])). 97.36/12.89 thf(zip_derived_cl115, plain, 97.36/12.89 (( ('#sk2' @ ('#sk117' @ '#sk216')) 97.36/12.89 | ('#sk216' @ '#sk3' @ '#sk4') 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('simplify', [status(thm)], [zip_derived_cl108])). 97.36/12.89 thf(zip_derived_cl66, plain, 97.36/12.89 ((~ ('#sk216' @ '#sk3' @ '#sk4') | ('#form18'))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl61])). 97.36/12.89 thf(zip_derived_cl183, plain, 97.36/12.89 (( ('#form18') | ('#sk2' @ ('#sk117' @ '#sk216')))), 97.36/12.89 inference('clc', [status(thm)], [zip_derived_cl115, zip_derived_cl66])). 97.36/12.89 thf(zip_derived_cl69, plain, 97.36/12.89 (( (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y2) & (Y2 @ Y0 @ Y1)))))) => 97.36/12.89 ('#sk216' @ Y0 @ Y1))))))))) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl65])). 97.36/12.89 thf(zip_derived_cl72, plain, 97.36/12.89 (![X2 : a]: 97.36/12.89 ( (((!!) @ (^[Y0 : a]: 97.36/12.89 (((((??) @ (^[Y1 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y1) & (Y1 @ X2 @ Y0)))))) => 97.36/12.89 ('#sk216' @ X2 @ Y0)))))) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl69])). 97.36/12.89 thf(zip_derived_cl74, plain, 97.36/12.89 (![X2 : a, X4 : a]: 97.36/12.89 ( (((((??) @ (^[Y0 : a > a > $o]: ((('#sk2' @ Y0) & (Y0 @ X2 @ X4)))))) => 97.36/12.89 ('#sk216' @ X2 @ X4))) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl72])). 97.36/12.89 thf(zip_derived_cl76, plain, 97.36/12.89 (![X2 : a, X4 : a]: 97.36/12.89 (~ (((??) @ (^[Y0 : a > a > $o]: ((('#sk2' @ Y0) & (Y0 @ X2 @ X4)))))) 97.36/12.89 | ('#sk216' @ X2 @ X4) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl74])). 97.36/12.89 thf(zip_derived_cl82, plain, 97.36/12.89 (![X2 : a, X4 : a, X6 : a > a > $o]: 97.36/12.89 (~ ((('#sk2' @ X6) & (X6 @ X2 @ X4))) 97.36/12.89 | ('#form18') 97.36/12.89 | ('#sk216' @ X2 @ X4))), 97.36/12.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl76])). 97.36/12.89 thf(zip_derived_cl88, plain, 97.36/12.89 (![X2 : a, X4 : a, X6 : a > a > $o]: 97.36/12.89 (~ ('#sk2' @ X6) 97.36/12.89 | ~ (X6 @ X2 @ X4) 97.36/12.89 | ('#sk216' @ X2 @ X4) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl82])). 97.36/12.89 thf(zip_derived_cl239, plain, 97.36/12.89 (![X0 : a, X1 : a]: 97.36/12.89 ( ('#form18') 97.36/12.89 | ('#form18') 97.36/12.89 | ('#sk216' @ X1 @ X0) 97.36/12.89 | ~ ('#sk117' @ '#sk216' @ X1 @ X0))), 97.36/12.89 inference('sup-', [status(thm)], [zip_derived_cl183, zip_derived_cl88])). 97.36/12.89 thf(zip_derived_cl250, plain, 97.36/12.89 (![X0 : a, X1 : a]: 97.36/12.89 (~ ('#sk117' @ '#sk216' @ X1 @ X0) 97.36/12.89 | ('#sk216' @ X1 @ X0) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('simplify', [status(thm)], [zip_derived_cl239])). 97.36/12.89 thf(zip_derived_cl70, plain, (( ('#sk1' @ '#sk216') | ('#form18'))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl65])). 97.36/12.89 thf(zip_derived_cl185, plain, 97.36/12.89 (( ('#form18') 97.36/12.89 | ('#sk73' @ '#sk216' @ ('#sk31' @ '#sk216') @ ('#sk43' @ '#sk216')))), 97.36/12.89 inference('clc', [status(thm)], [zip_derived_cl116, zip_derived_cl66])). 97.36/12.89 thf(zip_derived_cl301, plain, 97.36/12.89 (( ('#form18') 97.36/12.89 | (('#sk73' @ '#sk216') 97.36/12.89 = ((^[Y0 : a,Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a]: 97.36/12.89 ((('#sk117' @ 97.36/12.89 '#sk216' @ Y3 @ 97.36/12.89 Y4) => (Y2 @ Y3 @ 97.36/12.89 Y4))))))))) & 97.36/12.89 ('#sk1' @ Y2))) => 97.36/12.89 (Y2 @ Y0 @ Y1))))))))))), 97.36/12.89 inference('clc', [status(thm)], [zip_derived_cl299, zip_derived_cl66])). 97.36/12.89 thf(zip_derived_cl302, plain, 97.36/12.89 (![X1 : a]: 97.36/12.89 ((('#sk73' @ '#sk216' @ X1) 97.36/12.89 = ((^[Y0 : a,Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a]: 97.36/12.89 ((('#sk117' @ 97.36/12.89 '#sk216' @ Y3 @ 97.36/12.89 Y4) => (Y2 @ Y3 @ 97.36/12.89 Y4))))))))) & 97.36/12.89 ('#sk1' @ Y2))) => 97.36/12.89 (Y2 @ Y0 @ Y1))))))) @ 97.36/12.89 X1)) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('ho_complete_eq', [status(thm)], [zip_derived_cl301])). 97.36/12.89 thf(zip_derived_cl304, plain, 97.36/12.89 (![X1 : a]: 97.36/12.89 ((('#sk73' @ '#sk216' @ X1) 97.36/12.89 = ((^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y2 : a]: 97.36/12.89 (((!!) @ (^[Y3 : a]: 97.36/12.89 ((('#sk117' @ 97.36/12.89 '#sk216' @ Y2 @ 97.36/12.89 Y3) => (Y1 @ Y2 @ 97.36/12.89 Y3))))))))) & 97.36/12.89 ('#sk1' @ Y1))) => 97.36/12.89 (Y1 @ X1 @ Y0))))))))) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('ho_norm', [status(thm)], [zip_derived_cl302])). 97.36/12.89 thf(zip_derived_cl348, plain, 97.36/12.89 (![X1 : a, X2 : a]: 97.36/12.89 ((('#sk73' @ '#sk216' @ X1 @ X2) 97.36/12.89 = ((^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y2 : a]: 97.36/12.89 (((!!) @ (^[Y3 : a]: 97.36/12.89 ((('#sk117' @ 97.36/12.89 '#sk216' @ Y2 @ 97.36/12.89 Y3) => (Y1 @ Y2 @ 97.36/12.89 Y3))))))))) & 97.36/12.89 ('#sk1' @ Y1))) => 97.36/12.89 (Y1 @ X1 @ Y0))))))) @ 97.36/12.89 X2)) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('ho_complete_eq', [status(thm)], [zip_derived_cl304])). 97.36/12.89 thf(zip_derived_cl349, plain, 97.36/12.89 (![X1 : a, X2 : a]: 97.36/12.89 ((('#sk73' @ '#sk216' @ X1 @ X2) 97.36/12.89 = (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 ((('#sk117' @ '#sk216' @ 97.36/12.89 Y1 @ Y2) => (Y0 @ Y1 @ 97.36/12.89 Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ X1 @ X2))))))) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('ho_norm', [status(thm)], [zip_derived_cl348])). 97.36/12.89 thf(zip_derived_cl350, plain, 97.36/12.89 (![X-1253 : a > a > $o, X1 : a, X2 : a]: 97.36/12.89 ( ((^[Y0 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a]: 97.36/12.89 ((('#sk117' @ '#sk216' @ Y1 @ Y2) => 97.36/12.89 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.89 ('#sk1' @ Y0))) => 97.36/12.89 (Y0 @ X1 @ X2)))) @ 97.36/12.89 X-1253) 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X2) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('forall_hoist', [status(thm)], [zip_derived_cl349])). 97.36/12.89 thf(zip_derived_cl357, plain, 97.36/12.89 (![X-1253 : a > a > $o, X1 : a, X2 : a]: 97.36/12.89 ( (((((((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 ((('#sk117' @ '#sk216' @ Y0 @ Y1) => 97.36/12.89 (X-1253 @ Y0 @ Y1))))))))) & 97.36/12.89 ('#sk1' @ X-1253))) => 97.36/12.89 (X-1253 @ X1 @ X2))) 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X2) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('ho_norm', [status(thm)], [zip_derived_cl350])). 97.36/12.89 thf(zip_derived_cl358, plain, 97.36/12.89 (![X1 : a, X2 : a, X3 : a > a > $o]: 97.36/12.89 ( (((((((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 ((('#sk117' @ '#sk216' @ Y0 @ Y1) => 97.36/12.89 (X3 @ Y0 @ Y1))))))))) & 97.36/12.89 ('#sk1' @ X3))) => 97.36/12.89 (X3 @ X1 @ X2))) 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X2) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('cannonize vars', [status(thm)], [zip_derived_cl357])). 97.36/12.89 thf(zip_derived_cl359, plain, 97.36/12.89 (![X1 : a, X2 : a, X3 : a > a > $o]: 97.36/12.89 (~ (((((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 ((('#sk117' @ '#sk216' @ Y0 @ Y1) => 97.36/12.89 (X3 @ Y0 @ Y1))))))))) & 97.36/12.89 ('#sk1' @ X3))) 97.36/12.89 | (X3 @ X1 @ X2) 97.36/12.89 | ('#form18') 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X2))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl358])). 97.36/12.89 thf(zip_derived_cl360, plain, 97.36/12.89 (![X1 : a, X2 : a, X3 : a > a > $o]: 97.36/12.89 (~ (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 ((('#sk117' @ '#sk216' @ Y0 @ Y1) => (X3 @ 97.36/12.89 Y0 @ Y1))))))))) 97.36/12.89 | ~ ('#sk1' @ X3) 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X2) 97.36/12.89 | ('#form18') 97.36/12.89 | (X3 @ X1 @ X2))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl359])). 97.36/12.89 thf(zip_derived_cl361, plain, 97.36/12.89 (![X1 : a, X2 : a, X3 : a > a > $o]: 97.36/12.89 (~ (((!!) @ (^[Y0 : a]: 97.36/12.89 ((('#sk117' @ '#sk216' @ ('#sk430' @ X3) @ Y0) => 97.36/12.89 (X3 @ ('#sk430' @ X3) @ Y0)))))) 97.36/12.89 | (X3 @ X1 @ X2) 97.36/12.89 | ('#form18') 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X2) 97.36/12.89 | ~ ('#sk1' @ X3))), 97.36/12.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl360])). 97.36/12.89 thf(zip_derived_cl362, plain, 97.36/12.89 (![X1 : a, X2 : a, X3 : a > a > $o]: 97.36/12.89 (~ ((('#sk117' @ '#sk216' @ ('#sk430' @ X3) @ ('#sk438' @ X3)) => 97.36/12.89 (X3 @ ('#sk430' @ X3) @ ('#sk438' @ X3)))) 97.36/12.89 | ~ ('#sk1' @ X3) 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X2) 97.36/12.89 | ('#form18') 97.36/12.89 | (X3 @ X1 @ X2))), 97.36/12.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl361])). 97.36/12.89 thf(zip_derived_cl363, plain, 97.36/12.89 (![X1 : a, X2 : a, X3 : a > a > $o]: 97.36/12.89 ( ('#sk117' @ '#sk216' @ ('#sk430' @ X3) @ ('#sk438' @ X3)) 97.36/12.89 | (X3 @ X1 @ X2) 97.36/12.89 | ('#form18') 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X2) 97.36/12.89 | ~ ('#sk1' @ X3))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl362])). 97.36/12.89 thf(zip_derived_cl365, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 ( ('#form18') 97.36/12.89 | ~ ('#sk1' @ X0) 97.36/12.89 | ('#form18') 97.36/12.89 | (X0 @ ('#sk31' @ '#sk216') @ ('#sk43' @ '#sk216')) 97.36/12.89 | ('#sk117' @ '#sk216' @ ('#sk430' @ X0) @ ('#sk438' @ X0)))), 97.36/12.89 inference('sup-', [status(thm)], [zip_derived_cl185, zip_derived_cl363])). 97.36/12.89 thf(zip_derived_cl367, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 ( ('#sk117' @ '#sk216' @ ('#sk430' @ X0) @ ('#sk438' @ X0)) 97.36/12.89 | (X0 @ ('#sk31' @ '#sk216') @ ('#sk43' @ '#sk216')) 97.36/12.89 | ~ ('#sk1' @ X0) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('simplify', [status(thm)], [zip_derived_cl365])). 97.36/12.89 thf(zip_derived_cl369, plain, 97.36/12.89 (( ('#form18') 97.36/12.89 | ('#form18') 97.36/12.89 | ('#sk216' @ ('#sk31' @ '#sk216') @ ('#sk43' @ '#sk216')) 97.36/12.89 | ('#sk117' @ '#sk216' @ ('#sk430' @ '#sk216') @ ('#sk438' @ '#sk216')))), 97.36/12.89 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl367])). 97.36/12.89 thf(zip_derived_cl373, plain, 97.36/12.89 (( ('#sk117' @ '#sk216' @ ('#sk430' @ '#sk216') @ ('#sk438' @ '#sk216')) 97.36/12.89 | ('#sk216' @ ('#sk31' @ '#sk216') @ ('#sk43' @ '#sk216')) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('simplify', [status(thm)], [zip_derived_cl369])). 97.36/12.89 thf(zip_derived_cl70, plain, (( ('#sk1' @ '#sk216') | ('#form18'))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl65])). 97.36/12.89 thf(zip_derived_cl30, plain, 97.36/12.89 (![X0 : a > a > $o]: 97.36/12.89 (~ (X0 @ ('#sk31' @ X0) @ ('#sk43' @ X0)) 97.36/12.89 | ('#form18') 97.36/12.89 | (X0 @ '#sk3' @ '#sk4') 97.36/12.89 | ~ ('#sk1' @ X0))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl27])). 97.36/12.89 thf(zip_derived_cl110, plain, 97.36/12.89 (( ('#form18') 97.36/12.89 | ('#sk216' @ '#sk3' @ '#sk4') 97.36/12.89 | ('#form18') 97.36/12.89 | ~ ('#sk216' @ ('#sk31' @ '#sk216') @ ('#sk43' @ '#sk216')))), 97.36/12.89 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl30])). 97.36/12.89 thf(zip_derived_cl117, plain, 97.36/12.89 ((~ ('#sk216' @ ('#sk31' @ '#sk216') @ ('#sk43' @ '#sk216')) 97.36/12.89 | ('#sk216' @ '#sk3' @ '#sk4') 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('simplify', [status(thm)], [zip_derived_cl110])). 97.36/12.89 thf(zip_derived_cl66, plain, 97.36/12.89 ((~ ('#sk216' @ '#sk3' @ '#sk4') | ('#form18'))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl61])). 97.36/12.89 thf(zip_derived_cl187, plain, 97.36/12.89 (( ('#form18') 97.36/12.89 | ~ ('#sk216' @ ('#sk31' @ '#sk216') @ ('#sk43' @ '#sk216')))), 97.36/12.89 inference('clc', [status(thm)], [zip_derived_cl117, zip_derived_cl66])). 97.36/12.89 thf(zip_derived_cl377, plain, 97.36/12.89 (( ('#form18') 97.36/12.89 | ('#sk117' @ '#sk216' @ ('#sk430' @ '#sk216') @ ('#sk438' @ '#sk216')))), 97.36/12.89 inference('clc', [status(thm)], [zip_derived_cl373, zip_derived_cl187])). 97.36/12.89 thf(zip_derived_cl379, plain, 97.36/12.89 (( ('#form18') 97.36/12.89 | ('#sk216' @ ('#sk430' @ '#sk216') @ ('#sk438' @ '#sk216')) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl377])). 97.36/12.89 thf(zip_derived_cl382, plain, 97.36/12.89 (( ('#sk216' @ ('#sk430' @ '#sk216') @ ('#sk438' @ '#sk216')) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('simplify', [status(thm)], [zip_derived_cl379])). 97.36/12.89 thf(zip_derived_cl489, plain, 97.36/12.89 (![X0 : a, X1 : a]: 97.36/12.89 ( ('#sk216' @ X1 @ X0) 97.36/12.89 | ('#form18') 97.36/12.89 | ~ ('#sk73' @ '#sk216' @ X1 @ X0))), 97.36/12.89 inference('clc', [status(thm)], [zip_derived_cl486, zip_derived_cl382])). 97.36/12.89 thf(zip_derived_cl493, plain, 97.36/12.89 (( ('#form18') 97.36/12.89 | ('#form18') 97.36/12.89 | ('#sk216' @ ('#sk31' @ '#sk216') @ ('#sk43' @ '#sk216')))), 97.36/12.89 inference('sup-', [status(thm)], [zip_derived_cl185, zip_derived_cl489])). 97.36/12.89 thf(zip_derived_cl498, plain, 97.36/12.89 (( ('#sk216' @ ('#sk31' @ '#sk216') @ ('#sk43' @ '#sk216')) 97.36/12.89 | ('#form18'))), 97.36/12.89 inference('simplify', [status(thm)], [zip_derived_cl493])). 97.36/12.89 thf(zip_derived_cl187, plain, 97.36/12.89 (( ('#form18') 97.36/12.89 | ~ ('#sk216' @ ('#sk31' @ '#sk216') @ ('#sk43' @ '#sk216')))), 97.36/12.89 inference('clc', [status(thm)], [zip_derived_cl117, zip_derived_cl66])). 97.36/12.89 thf(zip_derived_cl502, plain, ( ('#form18')), 97.36/12.89 inference('clc', [status(thm)], [zip_derived_cl498, zip_derived_cl187])). 97.36/12.89 thf(zip_derived_cl509, plain, 97.36/12.89 (~ ('#sk5' @ ('#sk48' @ '#sk5') @ ('#sk66' @ '#sk5'))), 97.36/12.89 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl502])). 97.36/12.89 thf(zip_derived_cl68, plain, 97.36/12.89 (( (((!!) @ (^[Y0 : a]: 97.36/12.89 (((!!) @ (^[Y1 : a]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y3 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y3) & 97.36/12.89 (((Y2) = 97.36/12.89 ((^[Y4 : a, 97.36/12.89 Y5 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y6 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y8 : a]: 97.36/12.89 (( 97.36/12.89 (Y3 @ 97.36/12.89 Y7 @ 97.36/12.89 Y8) => 97.36/12.89 (Y6 @ 97.36/12.89 Y7 @ Y8))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y6))) => 97.36/12.89 (Y6 @ 97.36/12.89 Y4 @ Y5))))))))))))))) & 97.36/12.89 (Y2 @ Y0 @ Y1)))))) => 97.36/12.89 ('#sk5' @ Y0 @ Y1))))))))) 97.36/12.89 | ~ ('#form18'))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl63])). 97.36/12.89 thf(zip_derived_cl71, plain, 97.36/12.89 (![X2 : a]: 97.36/12.89 ( (((!!) @ (^[Y0 : a]: 97.36/12.89 (((((??) @ (^[Y1 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y2 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y2) & 97.36/12.89 (((Y1) = 97.36/12.89 ((^[Y3 : a,Y4 : a]: 97.36/12.89 (((!!) @ (^[Y5 : 97.36/12.89 a > a > $o]: 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y6 : a]: 97.36/12.89 (( 97.36/12.89 (!!) @ ( 97.36/12.89 ^[Y7 : a]: 97.36/12.89 (( 97.36/12.89 (Y2 @ 97.36/12.89 Y6 @ 97.36/12.89 Y7) => 97.36/12.89 (Y5 @ 97.36/12.89 Y6 @ Y7))))))))) & 97.36/12.89 ('#sk1' @ 97.36/12.89 Y5))) => 97.36/12.89 (Y5 @ 97.36/12.89 Y3 @ Y4))))))))))))))) & 97.36/12.89 (Y1 @ X2 @ Y0)))))) => 97.36/12.89 ('#sk5' @ X2 @ Y0)))))) 97.36/12.89 | ~ ('#form18'))), 97.36/12.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl68])). 97.36/12.89 thf(zip_derived_cl73, plain, 97.36/12.89 (![X2 : a, X4 : a]: 97.36/12.89 ( (((((??) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y1 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y1) & 97.36/12.89 (((Y0) = 97.36/12.89 ((^[Y2 : a,Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a > a > $o]: 97.36/12.89 (((((((!!) @ ( 97.36/12.89 ^[Y5 : a]: 97.36/12.89 (((!!) @ ( 97.36/12.89 ^[Y6 : a]: 97.36/12.89 (( 97.36/12.89 (Y1 @ 97.36/12.89 Y5 @ 97.36/12.89 Y6) => 97.36/12.89 (Y4 @ 97.36/12.89 Y5 @ Y6))))))))) & 97.36/12.89 ('#sk1' @ Y4))) => 97.36/12.89 (Y4 @ Y2 @ Y3))))))))))))))) & 97.36/12.89 (Y0 @ X2 @ X4)))))) => 97.36/12.89 ('#sk5' @ X2 @ X4))) 97.36/12.89 | ~ ('#form18'))), 97.36/12.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl71])). 97.36/12.89 thf(zip_derived_cl75, plain, 97.36/12.89 (![X2 : a, X4 : a]: 97.36/12.89 (~ (((??) @ (^[Y0 : a > a > $o]: 97.36/12.89 (((((??) @ (^[Y1 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y1) & 97.36/12.89 (((Y0) = 97.36/12.89 ((^[Y2 : a,Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a > a > $o]: 97.36/12.89 (((((((!!) @ ( 97.36/12.89 ^[Y5 : a]: 97.36/12.89 (((!!) @ ( 97.36/12.89 ^[Y6 : a]: 97.36/12.89 ( 97.36/12.89 ( 97.36/12.89 (Y1 @ 97.36/12.89 Y5 @ 97.36/12.89 Y6) => 97.36/12.89 (Y4 @ 97.36/12.89 Y5 @ Y6))))))))) & 97.36/12.89 ('#sk1' @ Y4))) => 97.36/12.89 (Y4 @ Y2 @ Y3))))))))))))))) & 97.36/12.89 (Y0 @ X2 @ X4)))))) 97.36/12.89 | ('#sk5' @ X2 @ X4) 97.36/12.89 | ~ ('#form18'))), 97.36/12.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl73])). 97.36/12.89 thf(zip_derived_cl77, plain, 97.36/12.89 (![X2 : a, X4 : a, X6 : a > a > $o]: 97.36/12.89 (~ (((((??) @ (^[Y0 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y0) & 97.36/12.89 (((X6) = 97.36/12.89 ((^[Y1 : a,Y2 : a]: 97.36/12.89 (((!!) @ (^[Y3 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y4 : a]: 97.36/12.89 (((!!) @ ( 97.36/12.89 ^[Y5 : a]: 97.36/12.89 (((Y0 @ Y4 @ 97.36/12.89 Y5) => 97.36/12.89 (Y3 @ Y4 @ 97.36/12.89 Y5))))))))) & 97.36/12.89 ('#sk1' @ Y3))) => 97.36/12.89 (Y3 @ Y1 @ Y2))))))))))))))) & 97.36/12.89 (X6 @ X2 @ X4))) 97.36/12.89 | ~ ('#form18') 97.36/12.89 | ('#sk5' @ X2 @ X4))), 97.36/12.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl75])). 97.36/12.89 thf(zip_derived_cl87, plain, 97.36/12.89 (![X2 : a, X4 : a, X6 : a > a > $o]: 97.36/12.89 (~ (((??) @ (^[Y0 : a > a > $o]: 97.36/12.89 ((('#sk2' @ Y0) & 97.36/12.89 (((X6) = 97.36/12.89 ((^[Y1 : a,Y2 : a]: 97.36/12.89 (((!!) @ (^[Y3 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y4 : a]: 97.36/12.89 (((!!) @ (^[Y5 : a]: 97.36/12.89 (( 97.36/12.89 (Y0 @ 97.36/12.89 Y4 @ 97.36/12.89 Y5) => 97.36/12.89 (Y3 @ 97.36/12.89 Y4 @ Y5))))))))) & 97.36/12.89 ('#sk1' @ Y3))) => 97.36/12.89 (Y3 @ Y1 @ Y2))))))))))))))) 97.36/12.89 | ~ (X6 @ X2 @ X4) 97.36/12.89 | ('#sk5' @ X2 @ X4) 97.36/12.89 | ~ ('#form18'))), 97.36/12.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl77])). 97.36/12.89 thf(zip_derived_cl89, plain, 97.36/12.89 (![X2 : a, X4 : a, X6 : a > a > $o, X8 : a > a > $o]: 97.36/12.89 (~ ((('#sk2' @ X8) & 97.36/12.89 (((X6) = 97.36/12.89 ((^[Y0 : a,Y1 : a]: 97.36/12.89 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.89 (((((((!!) @ (^[Y3 : a]: 97.36/12.89 (((!!) @ (^[Y4 : a]: 97.36/12.89 (((X8 @ Y3 @ Y4) => 97.36/12.89 (Y2 @ Y3 @ Y4))))))))) & 97.36/12.89 ('#sk1' @ Y2))) => 97.36/12.89 (Y2 @ Y0 @ Y1)))))))))))) 97.36/12.89 | ~ ('#form18') 97.36/12.89 | ('#sk5' @ X2 @ X4) 97.36/12.89 | ~ (X6 @ X2 @ X4))), 97.36/12.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl87])). 97.36/12.89 thf(zip_derived_cl94, plain, 97.36/12.89 (![X2 : a, X4 : a, X6 : a > a > $o, X8 : a > a > $o]: 97.36/12.89 (~ ('#sk2' @ X8) 97.36/12.89 | ~ (((X6) = 97.36/12.90 ((^[Y0 : a,Y1 : a]: 97.36/12.90 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.90 (((((((!!) @ (^[Y3 : a]: 97.36/12.90 (((!!) @ (^[Y4 : a]: 97.36/12.90 (((X8 @ Y3 @ Y4) => 97.36/12.90 (Y2 @ Y3 @ Y4))))))))) & 97.36/12.90 ('#sk1' @ Y2))) => 97.36/12.90 (Y2 @ Y0 @ Y1)))))))))) 97.36/12.90 | ~ (X6 @ X2 @ X4) 97.36/12.90 | ('#sk5' @ X2 @ X4) 97.36/12.90 | ~ ('#form18'))), 97.36/12.90 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl89])). 97.36/12.90 thf(zip_derived_cl95, plain, 97.36/12.90 (![X2 : a, X4 : a, X6 : a > a > $o, X8 : a > a > $o]: 97.36/12.90 (~ ('#sk2' @ X8) 97.36/12.90 | ((X6) 97.36/12.90 != ((^[Y0 : a,Y1 : a]: 97.36/12.90 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.90 (((((((!!) @ (^[Y3 : a]: 97.36/12.90 (((!!) @ (^[Y4 : a]: 97.36/12.90 (((X8 @ Y3 @ 97.36/12.90 Y4) => (Y2 @ 97.36/12.90 Y3 @ Y4))))))))) & 97.36/12.90 ('#sk1' @ Y2))) => 97.36/12.90 (Y2 @ Y0 @ Y1))))))))) 97.36/12.90 | ~ (X6 @ X2 @ X4) 97.36/12.90 | ('#sk5' @ X2 @ X4) 97.36/12.90 | ~ ('#form18'))), 97.36/12.90 inference('simplify nested equalities', [status(thm)], [zip_derived_cl94])). 97.36/12.90 thf(zip_derived_cl502, plain, ( ('#form18')), 97.36/12.90 inference('clc', [status(thm)], [zip_derived_cl498, zip_derived_cl187])). 97.36/12.90 thf(zip_derived_cl1524, plain, 97.36/12.90 (![X2 : a, X4 : a, X6 : a > a > $o, X8 : a > a > $o]: 97.36/12.90 (~ ('#sk2' @ X8) 97.36/12.90 | ((X6) 97.36/12.90 != ((^[Y0 : a,Y1 : a]: 97.36/12.90 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.90 (((((((!!) @ (^[Y3 : a]: 97.36/12.90 (((!!) @ (^[Y4 : a]: 97.36/12.90 (((X8 @ Y3 @ 97.36/12.90 Y4) => (Y2 @ 97.36/12.90 Y3 @ Y4))))))))) & 97.36/12.90 ('#sk1' @ Y2))) => 97.36/12.90 (Y2 @ Y0 @ Y1))))))))) 97.36/12.90 | ~ (X6 @ X2 @ X4) 97.36/12.90 | ('#sk5' @ X2 @ X4))), 97.36/12.90 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl502])). 97.36/12.90 thf(zip_derived_cl1528, plain, 97.36/12.90 (![X0 : a, X1 : a, X2 : a > a > $o]: 97.36/12.90 ( ('#sk5' @ X1 @ X0) 97.36/12.90 | ~ ((^[Y0 : a,Y1 : a]: 97.36/12.90 (((!!) @ (^[Y2 : a > a > $o]: 97.36/12.90 (((((((!!) @ (^[Y3 : a]: 97.36/12.90 (((!!) @ (^[Y4 : a]: 97.36/12.90 (((X2 @ Y3 @ Y4) => 97.36/12.90 (Y2 @ Y3 @ Y4))))))))) & 97.36/12.90 ('#sk1' @ Y2))) => 97.36/12.90 (Y2 @ Y0 @ Y1))))))) @ 97.36/12.90 X1 @ X0) 97.36/12.90 | ~ ('#sk2' @ X2))), 97.36/12.90 inference('eq_res', [status(thm)], [zip_derived_cl1524])). 97.36/12.90 thf(zip_derived_cl1529, plain, 97.36/12.90 (![X0 : a, X1 : a, X2 : a > a > $o]: 97.36/12.90 ( ('#sk5' @ X1 @ X0) 97.36/12.90 | ~ (((!!) @ (^[Y0 : a > a > $o]: 97.36/12.90 (((((((!!) @ (^[Y1 : a]: 97.36/12.90 (((!!) @ (^[Y2 : a]: 97.36/12.90 (((X2 @ Y1 @ Y2) => 97.36/12.90 (Y0 @ Y1 @ Y2))))))))) & 97.36/12.90 ('#sk1' @ Y0))) => 97.36/12.90 (Y0 @ X1 @ X0)))))) 97.36/12.90 | ~ ('#sk2' @ X2))), 97.36/12.90 inference('ho_norm', [status(thm)], [zip_derived_cl1528])). 97.36/12.90 thf(zip_derived_cl2568, plain, 97.36/12.90 (![X0 : a, X1 : a, X2 : a > a > $o]: 97.36/12.90 (~ (((((((!!) @ (^[Y0 : a]: 97.36/12.90 (((!!) @ (^[Y1 : a]: 97.36/12.90 (((X2 @ Y0 @ Y1) => ('#sk12196' @ X0 @ 97.36/12.90 X1 @ X2 @ Y0 @ Y1))))))))) & 97.36/12.90 ('#sk1' @ ('#sk12196' @ X0 @ X1 @ X2)))) => 97.36/12.90 ('#sk12196' @ X0 @ X1 @ X2 @ X1 @ X0))) 97.36/12.90 | ~ ('#sk2' @ X2) 97.36/12.90 | ('#sk5' @ X1 @ X0))), 97.36/12.90 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1529])). 97.36/12.90 thf(zip_derived_cl2570, plain, 97.36/12.90 (![X0 : a, X1 : a, X2 : a > a > $o]: 97.36/12.90 (~ ('#sk12196' @ X0 @ X1 @ X2 @ X1 @ X0) 97.36/12.90 | ('#sk5' @ X1 @ X0) 97.36/12.90 | ~ ('#sk2' @ X2))), 97.36/12.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2568])). 97.36/12.90 thf(zip_derived_cl67, plain, (( ('#sk1' @ '#sk5') | ~ ('#form18'))), 97.36/12.90 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl63])). 97.36/12.90 thf(zip_derived_cl33, plain, 97.36/12.90 (![X2 : a > a > $o]: 97.36/12.90 ( (((??) @ (^[Y0 : a > a > $o]: 97.36/12.90 ((('#sk2' @ Y0) & (Y0 @ ('#sk48' @ X2) @ ('#sk66' @ X2))))))) 97.36/12.90 | (X2 @ '#sk3' @ '#sk4') 97.36/12.90 | ~ ('#form18') 97.36/12.90 | ~ ('#sk1' @ X2))), 97.36/12.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl31])). 97.36/12.90 thf(zip_derived_cl37, plain, 97.36/12.90 (![X2 : a > a > $o]: 97.36/12.90 ( ((('#sk2' @ ('#sk106' @ X2)) & ('#sk106' @ X2 @ ('#sk48' @ X2) @ 97.36/12.90 ('#sk66' @ X2)))) 97.36/12.90 | ~ ('#sk1' @ X2) 97.36/12.90 | ~ ('#form18') 97.36/12.90 | (X2 @ '#sk3' @ '#sk4'))), 97.36/12.90 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl33])). 97.36/12.90 thf(zip_derived_cl39, plain, 97.36/12.90 (![X2 : a > a > $o]: 97.36/12.90 ( ('#sk2' @ ('#sk106' @ X2)) 97.36/12.90 | (X2 @ '#sk3' @ '#sk4') 97.36/12.90 | ~ ('#form18') 97.36/12.90 | ~ ('#sk1' @ X2))), 97.36/12.90 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl37])). 97.36/12.90 thf(zip_derived_cl96, plain, 97.36/12.90 ((~ ('#form18') 97.36/12.90 | ~ ('#form18') 97.36/12.90 | ('#sk5' @ '#sk3' @ '#sk4') 97.36/12.90 | ('#sk2' @ ('#sk106' @ '#sk5')))), 97.36/12.90 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl39])). 97.36/12.90 thf(zip_derived_cl104, plain, 97.36/12.90 (( ('#sk2' @ ('#sk106' @ '#sk5')) 97.36/12.90 | ('#sk5' @ '#sk3' @ '#sk4') 97.36/12.90 | ~ ('#form18'))), 97.36/12.90 inference('simplify', [status(thm)], [zip_derived_cl96])). 97.36/12.90 thf(zip_derived_cl64, plain, 97.36/12.90 ((~ ('#sk5' @ '#sk3' @ '#sk4') | ~ ('#form18'))), 97.36/12.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])). 97.36/12.90 thf(zip_derived_cl181, plain, 97.36/12.90 ((~ ('#form18') | ('#sk2' @ ('#sk106' @ '#sk5')))), 97.36/12.90 inference('clc', [status(thm)], [zip_derived_cl104, zip_derived_cl64])). 97.36/12.90 thf(zip_derived_cl502, plain, ( ('#form18')), 97.36/12.90 inference('clc', [status(thm)], [zip_derived_cl498, zip_derived_cl187])). 97.36/12.90 thf(zip_derived_cl508, plain, ( ('#sk2' @ ('#sk106' @ '#sk5'))), 97.36/12.90 inference('demod', [status(thm)], [zip_derived_cl181, zip_derived_cl502])). 97.36/12.90 thf(zip_derived_cl2569, plain, 97.36/12.90 (![X0 : a, X1 : a, X2 : a > a > $o]: 97.36/12.90 ( (((((!!) @ (^[Y0 : a]: 97.36/12.90 (((!!) @ (^[Y1 : a]: 97.36/12.90 (((X2 @ Y0 @ Y1) => ('#sk12196' @ X0 @ 97.36/12.90 X1 @ X2 @ Y0 @ Y1))))))))) & 97.36/12.90 ('#sk1' @ ('#sk12196' @ X0 @ X1 @ X2)))) 97.36/12.90 | ('#sk5' @ X1 @ X0) 97.36/12.90 | ~ ('#sk2' @ X2))), 97.36/12.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2568])). 97.36/12.90 thf(zip_derived_cl2571, plain, 97.36/12.90 (![X0 : a, X1 : a, X2 : a > a > $o]: 97.36/12.90 ( (((!!) @ (^[Y0 : a]: 97.36/12.90 (((!!) @ (^[Y1 : a]: 97.36/12.90 (((X2 @ Y0 @ Y1) => ('#sk12196' @ X0 @ X1 @ 97.36/12.90 X2 @ Y0 @ Y1))))))))) 97.36/12.90 | ~ ('#sk2' @ X2) 97.36/12.90 | ('#sk5' @ X1 @ X0))), 97.36/12.90 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2569])). 97.36/12.90 thf(zip_derived_cl2573, plain, 97.36/12.90 (![X0 : a, X1 : a, X2 : a > a > $o, X4 : a]: 97.36/12.90 ( (((!!) @ (^[Y0 : a]: 97.36/12.90 (((X2 @ X4 @ Y0) => ('#sk12196' @ X0 @ X1 @ X2 @ X4 @ 97.36/12.90 Y0)))))) 97.36/12.90 | ('#sk5' @ X1 @ X0) 97.36/12.90 | ~ ('#sk2' @ X2))), 97.36/12.90 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2571])). 97.36/12.90 thf(zip_derived_cl2574, plain, 97.36/12.90 (![X0 : a, X1 : a, X2 : a > a > $o, X4 : a, X6 : a]: 97.36/12.90 ( (((X2 @ X4 @ X6) => ('#sk12196' @ X0 @ X1 @ X2 @ X4 @ X6))) 97.36/12.90 | ~ ('#sk2' @ X2) 97.36/12.90 | ('#sk5' @ X1 @ X0))), 97.36/12.90 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2573])). 97.36/12.90 thf(zip_derived_cl2575, plain, 97.36/12.90 (![X0 : a, X1 : a, X2 : a > a > $o, X4 : a, X6 : a]: 97.36/12.90 (~ (X2 @ X4 @ X6) 97.36/12.90 | ('#sk12196' @ X0 @ X1 @ X2 @ X4 @ X6) 97.36/12.90 | ('#sk5' @ X1 @ X0) 97.36/12.90 | ~ ('#sk2' @ X2))), 97.36/12.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2574])). 97.36/12.90 thf(zip_derived_cl2641, plain, 97.36/12.90 (![X0 : a, X1 : a, X2 : a, X3 : a]: 97.36/12.90 ( ('#sk5' @ X1 @ X0) 97.36/12.90 | ('#sk12196' @ X0 @ X1 @ ('#sk106' @ '#sk5') @ X3 @ X2) 97.36/12.90 | ~ ('#sk106' @ '#sk5' @ X3 @ X2))), 97.36/12.90 inference('sup-', [status(thm)], [zip_derived_cl508, zip_derived_cl2575])). 97.36/12.90 thf(zip_derived_cl2648, plain, 97.36/12.90 (![X0 : a, X1 : a]: 97.36/12.90 (~ ('#sk2' @ ('#sk106' @ '#sk5')) 97.36/12.90 | ('#sk5' @ X1 @ X0) 97.36/12.90 | ~ ('#sk106' @ '#sk5' @ X1 @ X0) 97.36/12.90 | ('#sk5' @ X1 @ X0))), 97.36/12.90 inference('sup+', [status(thm)], [zip_derived_cl2570, zip_derived_cl2641])). 97.36/12.90 thf(zip_derived_cl508, plain, ( ('#sk2' @ ('#sk106' @ '#sk5'))), 97.36/12.90 inference('demod', [status(thm)], [zip_derived_cl181, zip_derived_cl502])). 97.36/12.90 thf(zip_derived_cl2653, plain, 97.36/12.90 (![X0 : a, X1 : a]: 97.36/12.90 ( ('#sk5' @ X1 @ X0) 97.36/12.90 | ~ ('#sk106' @ '#sk5' @ X1 @ X0) 97.36/12.90 | ('#sk5' @ X1 @ X0))), 97.36/12.90 inference('demod', [status(thm)], [zip_derived_cl2648, zip_derived_cl508])). 97.36/12.90 thf(zip_derived_cl2654, plain, 97.36/12.90 (![X0 : a, X1 : a]: 97.36/12.90 (~ ('#sk106' @ '#sk5' @ X1 @ X0) | ('#sk5' @ X1 @ X0))), 97.36/12.90 inference('simplify', [status(thm)], [zip_derived_cl2653])). 97.36/12.90 thf(zip_derived_cl67, plain, (( ('#sk1' @ '#sk5') | ~ ('#form18'))), 97.36/12.90 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl63])). 97.36/12.90 thf(zip_derived_cl40, plain, 97.36/12.90 (![X2 : a > a > $o]: 97.36/12.90 ( ('#sk106' @ X2 @ ('#sk48' @ X2) @ ('#sk66' @ X2)) 97.36/12.90 | (X2 @ '#sk3' @ '#sk4') 97.36/12.90 | ~ ('#form18') 97.36/12.90 | ~ ('#sk1' @ X2))), 97.36/12.90 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl37])). 97.36/12.90 thf(zip_derived_cl449, plain, 97.36/12.90 ((~ ('#form18') 97.36/12.90 | ~ ('#form18') 97.36/12.90 | ('#sk5' @ '#sk3' @ '#sk4') 97.36/12.90 | ('#sk106' @ '#sk5' @ ('#sk48' @ '#sk5') @ ('#sk66' @ '#sk5')))), 97.36/12.90 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl40])). 97.36/12.90 thf(zip_derived_cl450, plain, 97.36/12.90 (( ('#sk106' @ '#sk5' @ ('#sk48' @ '#sk5') @ ('#sk66' @ '#sk5')) 97.36/12.90 | ('#sk5' @ '#sk3' @ '#sk4') 97.36/12.90 | ~ ('#form18'))), 97.36/12.90 inference('simplify', [status(thm)], [zip_derived_cl449])). 97.36/12.90 thf(zip_derived_cl64, plain, 97.36/12.90 ((~ ('#sk5' @ '#sk3' @ '#sk4') | ~ ('#form18'))), 97.36/12.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])). 97.36/12.90 thf(zip_derived_cl475, plain, 97.36/12.90 ((~ ('#form18') 97.36/12.90 | ('#sk106' @ '#sk5' @ ('#sk48' @ '#sk5') @ ('#sk66' @ '#sk5')))), 97.36/12.90 inference('clc', [status(thm)], [zip_derived_cl450, zip_derived_cl64])). 97.36/12.90 thf(zip_derived_cl502, plain, ( ('#form18')), 97.36/12.90 inference('clc', [status(thm)], [zip_derived_cl498, zip_derived_cl187])). 97.36/12.90 thf(zip_derived_cl513, plain, 97.36/12.90 ( ('#sk106' @ '#sk5' @ ('#sk48' @ '#sk5') @ ('#sk66' @ '#sk5'))), 97.36/12.90 inference('demod', [status(thm)], [zip_derived_cl475, zip_derived_cl502])). 97.36/12.90 thf(zip_derived_cl2665, plain, 97.36/12.90 ( ('#sk5' @ ('#sk48' @ '#sk5') @ ('#sk66' @ '#sk5'))), 97.36/12.90 inference('sup+', [status(thm)], [zip_derived_cl2654, zip_derived_cl513])). 97.36/12.90 thf(zip_derived_cl2667, plain, ($false), 97.36/12.90 inference('demod', [status(thm)], [zip_derived_cl509, zip_derived_cl2665])). 97.36/12.90 97.36/12.90 % SZS output end Refutation 97.36/12.90 97.36/12.90 97.36/12.90 % Terminating... 98.01/12.98 % Runner terminated. 98.01/13.00 % Zipperpin 1.5 exiting 98.01/13.01 EOF