0.09/0.15 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MYBikI6cYr true 0.11/0.37 % Computer : n009.cluster.edu 0.11/0.37 % Model : x86_64 x86_64 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.37 % Memory : 8042.1875MB 0.11/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.37 % CPULimit : 1440 0.11/0.37 % WCLimit : 180 0.11/0.37 % DateTime : Mon Jul 3 07:06:11 EDT 2023 0.11/0.37 % CPUTime : 0.11/0.37 % Running portfolio for 1440 s 0.11/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.37 % Number of cores: 8 0.11/0.38 % Python version: Python 3.6.8 0.11/0.38 % Running in HO mode 0.52/0.69 % Total configuration time : 828 0.52/0.69 % Estimated wc time : 1656 0.52/0.69 % Estimated cpu time (8 cpus) : 207.0 0.54/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.54/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.54/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.54/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.54/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.54/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.54/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 60.46/8.27 % Solved by lams/35_full_unif4.sh. 60.46/8.27 % done 261 iterations in 7.473s 60.46/8.27 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 60.46/8.27 % SZS output start Refutation 60.46/8.27 thf(a_type, type, a: $tType). 60.46/8.27 thf('#sk2_type', type, '#sk2': a). 60.46/8.27 thf('#sk29_type', type, '#sk29': (a > a > $o) > a). 60.46/8.27 thf('#sk104_type', type, '#sk104': (a > a > $o) > a). 60.46/8.27 thf('#sk66_type', type, '#sk66': (a > a > $o) > a > a > $o). 60.46/8.27 thf('#sk3_type', type, '#sk3': a). 60.46/8.27 thf('#sk41_type', type, '#sk41': (a > a > $o) > a). 60.46/8.27 thf('#sk1_type', type, '#sk1': (a > a > $o) > $o). 60.46/8.27 thf('#sk10626_type', type, '#sk10626': (a > a > $o) > a > a > a > a > $o). 60.46/8.27 thf('#sk141_type', type, '#sk141': (a > a > $o) > a). 60.46/8.27 thf('#sk4_type', type, '#sk4': a > a > $o). 60.46/8.27 thf('#sk77_type', type, '#sk77': (a > a > $o) > a). 60.46/8.27 thf(cTHM253_A_pme, conjecture, 60.46/8.27 (![S:( ( a > a > $o ) > $o ),Xx:a,Xy:a]: 60.46/8.27 ( ( ![Xp1:( a > a > $o )]: 60.46/8.27 ( ( ( ![Xx0:a,Xy0:a]: 60.46/8.27 ( ( ?[R:( a > a > $o )]: ( ( S @ R ) & ( R @ Xx0 @ Xy0 ) ) ) => 60.46/8.27 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 60.46/8.27 ( ![Xx0:a,Xy0:a,Xz:a]: 60.46/8.27 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 60.46/8.27 ( Xp1 @ Xx0 @ Xz ) ) ) ) => 60.46/8.27 ( Xp1 @ Xx @ Xy ) ) ) => 60.46/8.27 ( ![Xp1:( a > a > $o )]: 60.46/8.27 ( ( ( ![Xx0:a,Xy0:a]: 60.46/8.27 ( ( ?[R:( a > a > $o )]: 60.46/8.27 ( ( ?[Q:( a > a > $o )]: 60.46/8.27 ( ( S @ Q ) & 60.46/8.27 ( ( R ) = 60.46/8.27 ( ^[Xx1:a,Xy1:a]: 60.46/8.27 ( ![Xp10:( a > a > $o )]: 60.46/8.27 ( ( ( ![Xx2:a,Xy2:a]: 60.46/8.27 ( ( Q @ Xx2 @ Xy2 ) => 60.46/8.27 ( Xp10 @ Xx2 @ Xy2 ) ) ) & 60.46/8.27 ( ![Xx2:a,Xy2:a,Xz:a]: 60.46/8.27 ( ( ( Xp10 @ Xy2 @ Xz ) & 60.46/8.27 ( Xp10 @ Xx2 @ Xy2 ) ) => 60.46/8.27 ( Xp10 @ Xx2 @ Xz ) ) ) ) => 60.46/8.27 ( Xp10 @ Xx1 @ Xy1 ) ) ) ) ) ) ) & 60.46/8.27 ( R @ Xx0 @ Xy0 ) ) ) => 60.46/8.27 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 60.46/8.27 ( ![Xx0:a,Xy0:a,Xz:a]: 60.46/8.27 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 60.46/8.27 ( Xp1 @ Xx0 @ Xz ) ) ) ) => 60.46/8.27 ( Xp1 @ Xx @ Xy ) ) ) ))). 60.46/8.27 thf(zf_stmt_0, negated_conjecture, 60.46/8.27 (~( ![S:( ( a > a > $o ) > $o ),Xx:a,Xy:a]: 60.46/8.27 ( ( ![Xp1:( a > a > $o )]: 60.46/8.27 ( ( ( ![Xx0:a,Xy0:a]: 60.46/8.27 ( ( ?[R:( a > a > $o )]: ( ( S @ R ) & ( R @ Xx0 @ Xy0 ) ) ) => 60.46/8.27 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 60.46/8.27 ( ![Xx0:a,Xy0:a,Xz:a]: 60.46/8.27 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 60.46/8.27 ( Xp1 @ Xx0 @ Xz ) ) ) ) => 60.46/8.27 ( Xp1 @ Xx @ Xy ) ) ) => 60.46/8.27 ( ![Xp1:( a > a > $o )]: 60.46/8.27 ( ( ( ![Xx0:a,Xy0:a]: 60.46/8.27 ( ( ?[R:( a > a > $o )]: 60.46/8.27 ( ( ?[Q:( a > a > $o )]: 60.46/8.27 ( ( S @ Q ) & 60.46/8.27 ( ( R ) = 60.46/8.27 ( ^[Xx1:a,Xy1:a]: 60.46/8.27 ( ![Xp10:( a > a > $o )]: 60.46/8.27 ( ( ( ![Xx2:a,Xy2:a]: 60.46/8.27 ( ( Q @ Xx2 @ Xy2 ) => 60.46/8.27 ( Xp10 @ Xx2 @ Xy2 ) ) ) & 60.46/8.27 ( ![Xx2:a,Xy2:a,Xz:a]: 60.46/8.27 ( ( ( Xp10 @ Xy2 @ Xz ) & 60.46/8.27 ( Xp10 @ Xx2 @ Xy2 ) ) => 60.46/8.27 ( Xp10 @ Xx2 @ Xz ) ) ) ) => 60.46/8.27 ( Xp10 @ Xx1 @ Xy1 ) ) ) ) ) ) ) & 60.46/8.27 ( R @ Xx0 @ Xy0 ) ) ) => 60.46/8.27 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 60.46/8.27 ( ![Xx0:a,Xy0:a,Xz:a]: 60.46/8.27 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 60.46/8.27 ( Xp1 @ Xx0 @ Xz ) ) ) ) => 60.46/8.27 ( Xp1 @ Xx @ Xy ) ) ) ) )), 60.46/8.27 inference('cnf.neg', [status(esa)], [cTHM253_A_pme])). 60.46/8.27 thf(zip_derived_cl0, plain, 60.46/8.27 (~ (((!!) @ (^[Y0 : (a > a > $o) > $o]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((((!!) @ (^[Y3 : a > a > $o]: 60.46/8.27 (((((((!!) @ ( 60.46/8.27 ^[Y4 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y5 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (??) @ ( 60.46/8.27 ^[Y6 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 (Y0 @ 60.46/8.27 Y6) & 60.46/8.27 (Y6 @ 60.46/8.27 Y4 @ Y5)))))) => 60.46/8.27 (Y3 @ 60.46/8.27 Y4 @ Y5))))))))) & 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y4 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y5 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y6 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y3 @ 60.46/8.27 Y4 @ 60.46/8.27 Y5) & 60.46/8.27 (Y3 @ 60.46/8.27 Y5 @ Y6))) => 60.46/8.27 (Y3 @ 60.46/8.27 Y4 @ Y6)))))))))))))) => 60.46/8.27 (Y3 @ Y1 @ Y2)))))) => 60.46/8.27 (((!!) @ (^[Y3 : a > a > $o]: 60.46/8.27 (((((((!!) @ ( 60.46/8.27 ^[Y4 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y5 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (??) @ ( 60.46/8.27 ^[Y6 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (??) @ ( 60.46/8.27 ^[Y7 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 (Y0 @ 60.46/8.27 Y7) & 60.46/8.27 (( 60.46/8.27 (Y6) = 60.46/8.27 (( 60.46/8.27 ^[Y8 : a, 60.46/8.27 Y9 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y10 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y11 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y12 : a]: 60.46/8.27 (( 60.46/8.27 (Y7 @ 60.46/8.27 Y11 @ 60.46/8.27 Y12) => 60.46/8.27 (Y10 @ 60.46/8.27 Y11 @ 60.46/8.27 Y12))))))))) & 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y11 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y12 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y13 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y10 @ 60.46/8.27 Y12 @ 60.46/8.27 Y13) & 60.46/8.27 (Y10 @ 60.46/8.27 Y11 @ 60.46/8.27 Y12))) => 60.46/8.27 (Y10 @ 60.46/8.27 Y11 @ 60.46/8.27 Y13)))))))))))))) => 60.46/8.27 (Y10 @ 60.46/8.27 Y8 @ Y9))))))))))))))) & 60.46/8.27 (Y6 @ 60.46/8.27 Y4 @ Y5)))))) => 60.46/8.27 (Y3 @ 60.46/8.27 Y4 @ Y5))))))))) & 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y4 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y5 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y6 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y3 @ 60.46/8.27 Y4 @ 60.46/8.27 Y5) & 60.46/8.27 (Y3 @ 60.46/8.27 Y5 @ Y6))) => 60.46/8.27 (Y3 @ 60.46/8.27 Y4 @ Y6)))))))))))))) => 60.46/8.27 (Y3 @ Y1 @ Y2)))))))))))))))))), 60.46/8.27 inference('cnf', [status(esa)], [zf_stmt_0])). 60.46/8.27 thf(zip_derived_cl1, plain, 60.46/8.27 (~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((((!!) @ (^[Y2 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y3 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y4 : a]: 60.46/8.27 (((( 60.46/8.27 (??) @ ( 60.46/8.27 ^[Y5 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 ('#sk1' @ 60.46/8.27 Y5) & 60.46/8.27 (Y5 @ 60.46/8.27 Y3 @ Y4)))))) => 60.46/8.27 (Y2 @ 60.46/8.27 Y3 @ Y4))))))))) & 60.46/8.27 (((!!) @ (^[Y3 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y4 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y5 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y2 @ 60.46/8.27 Y3 @ 60.46/8.27 Y4) & 60.46/8.27 (Y2 @ 60.46/8.27 Y4 @ Y5))) => 60.46/8.27 (Y2 @ 60.46/8.27 Y3 @ Y5)))))))))))))) => 60.46/8.27 (Y2 @ Y0 @ Y1)))))) => 60.46/8.27 (((!!) @ (^[Y2 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y3 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y4 : a]: 60.46/8.27 (((( 60.46/8.27 (??) @ ( 60.46/8.27 ^[Y5 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (??) @ ( 60.46/8.27 ^[Y6 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 ('#sk1' @ 60.46/8.27 Y6) & 60.46/8.27 (( 60.46/8.27 (Y5) = 60.46/8.27 (( 60.46/8.27 ^[Y7 : a, 60.46/8.27 Y8 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y9 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y10 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y11 : a]: 60.46/8.27 (( 60.46/8.27 (Y6 @ 60.46/8.27 Y10 @ 60.46/8.27 Y11) => 60.46/8.27 (Y9 @ 60.46/8.27 Y10 @ 60.46/8.27 Y11))))))))) & 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y10 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y11 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y12 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y9 @ 60.46/8.27 Y11 @ 60.46/8.27 Y12) & 60.46/8.27 (Y9 @ 60.46/8.27 Y10 @ 60.46/8.27 Y11))) => 60.46/8.27 (Y9 @ 60.46/8.27 Y10 @ 60.46/8.27 Y12)))))))))))))) => 60.46/8.27 (Y9 @ 60.46/8.27 Y7 @ Y8))))))))))))))) & 60.46/8.27 (Y5 @ 60.46/8.27 Y3 @ Y4)))))) => 60.46/8.27 (Y2 @ 60.46/8.27 Y3 @ Y4))))))))) & 60.46/8.27 (((!!) @ (^[Y3 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y4 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y5 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y2 @ 60.46/8.27 Y3 @ 60.46/8.27 Y4) & 60.46/8.27 (Y2 @ 60.46/8.27 Y4 @ Y5))) => 60.46/8.27 (Y2 @ 60.46/8.27 Y3 @ Y5)))))))))))))) => 60.46/8.27 (Y2 @ Y0 @ Y1))))))))))))))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 60.46/8.27 thf(zip_derived_cl2, plain, 60.46/8.27 (~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((((!!) @ (^[Y1 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y2 : a]: 60.46/8.27 (((!!) @ (^[Y3 : a]: 60.46/8.27 (((((??) @ ( 60.46/8.27 ^[Y4 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 ('#sk1' @ 60.46/8.27 Y4) & 60.46/8.27 (Y4 @ 60.46/8.27 Y2 @ Y3)))))) => 60.46/8.27 (Y1 @ Y2 @ Y3))))))))) & 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((!!) @ (^[Y3 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y4 : a]: 60.46/8.27 (((( 60.46/8.27 (Y1 @ 60.46/8.27 Y2 @ Y3) & 60.46/8.27 (Y1 @ 60.46/8.27 Y3 @ Y4))) => 60.46/8.27 (Y1 @ 60.46/8.27 Y2 @ Y4)))))))))))))) => 60.46/8.27 (Y1 @ '#sk2' @ Y0)))))) => 60.46/8.27 (((!!) @ (^[Y1 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y2 : a]: 60.46/8.27 (((!!) @ (^[Y3 : a]: 60.46/8.27 (((((??) @ ( 60.46/8.27 ^[Y4 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (??) @ ( 60.46/8.27 ^[Y5 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 ('#sk1' @ 60.46/8.27 Y5) & 60.46/8.27 (( 60.46/8.27 (Y4) = 60.46/8.27 (( 60.46/8.27 ^[Y6 : a, 60.46/8.27 Y7 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y8 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y9 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y10 : a]: 60.46/8.27 (( 60.46/8.27 (Y5 @ 60.46/8.27 Y9 @ 60.46/8.27 Y10) => 60.46/8.27 (Y8 @ 60.46/8.27 Y9 @ Y10))))))))) & 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y9 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y10 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y11 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y8 @ 60.46/8.27 Y10 @ 60.46/8.27 Y11) & 60.46/8.27 (Y8 @ 60.46/8.27 Y9 @ Y10))) => 60.46/8.27 (Y8 @ 60.46/8.27 Y9 @ Y11)))))))))))))) => 60.46/8.27 (Y8 @ 60.46/8.27 Y6 @ Y7))))))))))))))) & 60.46/8.27 (Y4 @ 60.46/8.27 Y2 @ Y3)))))) => 60.46/8.27 (Y1 @ Y2 @ Y3))))))))) & 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((!!) @ (^[Y3 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y4 : a]: 60.46/8.27 (((( 60.46/8.27 (Y1 @ 60.46/8.27 Y2 @ Y3) & 60.46/8.27 (Y1 @ 60.46/8.27 Y3 @ Y4))) => 60.46/8.27 (Y1 @ 60.46/8.27 Y2 @ Y4)))))))))))))) => 60.46/8.27 (Y1 @ '#sk2' @ Y0)))))))))))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 60.46/8.27 thf(zip_derived_cl3, plain, 60.46/8.27 (~ (((((!!) @ (^[Y0 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((((??) @ (^[Y3 : a > a > $o]: 60.46/8.27 ((('#sk1' @ 60.46/8.27 Y3) & (Y3 @ 60.46/8.27 Y1 @ Y2)))))) => 60.46/8.27 (Y0 @ Y1 @ Y2))))))))) & 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((!!) @ (^[Y3 : a]: 60.46/8.27 (((((Y0 @ Y1 @ 60.46/8.27 Y2) & (Y0 @ 60.46/8.27 Y2 @ Y3))) => 60.46/8.27 (Y0 @ Y1 @ Y3)))))))))))))) => 60.46/8.27 (Y0 @ '#sk2' @ '#sk3')))))) => 60.46/8.27 (((!!) @ (^[Y0 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((((??) @ (^[Y3 : a > a > $o]: 60.46/8.27 (((((??) @ ( 60.46/8.27 ^[Y4 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 ('#sk1' @ 60.46/8.27 Y4) & 60.46/8.27 (( 60.46/8.27 (Y3) = 60.46/8.27 (( 60.46/8.27 ^[Y5 : a, 60.46/8.27 Y6 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y7 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y8 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y9 : a]: 60.46/8.27 (( 60.46/8.27 (Y4 @ 60.46/8.27 Y8 @ 60.46/8.27 Y9) => 60.46/8.27 (Y7 @ 60.46/8.27 Y8 @ Y9))))))))) & 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y8 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y9 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y10 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y7 @ 60.46/8.27 Y9 @ 60.46/8.27 Y10) & 60.46/8.27 (Y7 @ 60.46/8.27 Y8 @ Y9))) => 60.46/8.27 (Y7 @ 60.46/8.27 Y8 @ Y10)))))))))))))) => 60.46/8.27 (Y7 @ 60.46/8.27 Y5 @ Y6))))))))))))))) & 60.46/8.27 (Y3 @ Y1 @ 60.46/8.27 Y2)))))) => 60.46/8.27 (Y0 @ Y1 @ Y2))))))))) & 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((!!) @ (^[Y3 : a]: 60.46/8.27 (((((Y0 @ Y1 @ 60.46/8.27 Y2) & (Y0 @ 60.46/8.27 Y2 @ Y3))) => 60.46/8.27 (Y0 @ Y1 @ Y3)))))))))))))) => 60.46/8.27 (Y0 @ '#sk2' @ '#sk3'))))))))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 60.46/8.27 thf(zip_derived_cl4, plain, 60.46/8.27 ( (((!!) @ (^[Y0 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((((??) @ (^[Y3 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y3) & 60.46/8.27 (Y3 @ Y1 @ Y2)))))) => 60.46/8.27 (Y0 @ Y1 @ Y2))))))))) & 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((!!) @ (^[Y3 : a]: 60.46/8.27 (((((Y0 @ Y1 @ 60.46/8.27 Y2) & (Y0 @ 60.46/8.27 Y2 @ Y3))) => 60.46/8.27 (Y0 @ Y1 @ Y3)))))))))))))) => 60.46/8.27 (Y0 @ '#sk2' @ '#sk3'))))))), 60.46/8.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 60.46/8.27 thf(zip_derived_cl6, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((((??) @ (^[Y2 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y2) & (Y2 @ 60.46/8.27 Y0 @ Y1)))))) => 60.46/8.27 (X2 @ Y0 @ Y1))))))))) & 60.46/8.27 (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((((X2 @ Y0 @ Y1) & (X2 @ 60.46/8.27 Y1 @ Y2))) => 60.46/8.27 (X2 @ Y0 @ Y2)))))))))))))) => 60.46/8.27 (X2 @ '#sk2' @ '#sk3')))), 60.46/8.27 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 60.46/8.27 thf(zip_derived_cl9, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 (~ (((((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((((??) @ (^[Y2 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y2) & (Y2 @ 60.46/8.27 Y0 @ Y1)))))) => 60.46/8.27 (X2 @ Y0 @ Y1))))))))) & 60.46/8.27 (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((((X2 @ Y0 @ Y1) & (X2 @ 60.46/8.27 Y1 @ Y2))) => 60.46/8.27 (X2 @ Y0 @ Y2)))))))))))))) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3'))), 60.46/8.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])). 60.46/8.27 thf(zip_derived_cl12, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 (~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((((??) @ (^[Y2 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y2) & (Y2 @ Y0 @ 60.46/8.27 Y1)))))) => 60.46/8.27 (X2 @ Y0 @ Y1))))))))) 60.46/8.27 | ~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((((X2 @ Y0 @ Y1) & (X2 @ 60.46/8.27 Y1 @ Y2))) => 60.46/8.27 (X2 @ Y0 @ Y2)))))))))))) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3'))), 60.46/8.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl9])). 60.46/8.27 thf(zip_derived_cl15, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 (~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((((??) @ (^[Y1 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y1) & (Y1 @ ('#sk29' @ X2) @ 60.46/8.27 Y0)))))) => 60.46/8.27 (X2 @ ('#sk29' @ X2) @ Y0)))))) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3') 60.46/8.27 | ~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((((X2 @ Y0 @ Y1) & (X2 @ 60.46/8.27 Y1 @ Y2))) => 60.46/8.27 (X2 @ Y0 @ Y2)))))))))))))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])). 60.46/8.27 thf(zip_derived_cl18, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 (~ (((((??) @ (^[Y0 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y0) & (Y0 @ ('#sk29' @ X2) @ 60.46/8.27 ('#sk41' @ X2))))))) => 60.46/8.27 (X2 @ ('#sk29' @ X2) @ ('#sk41' @ X2)))) 60.46/8.27 | ~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((((X2 @ Y0 @ Y1) & (X2 @ 60.46/8.27 Y1 @ Y2))) => 60.46/8.27 (X2 @ Y0 @ Y2)))))))))))) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3'))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl15])). 60.46/8.27 thf(zip_derived_cl21, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 ( (((??) @ (^[Y0 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y0) & (Y0 @ ('#sk29' @ X2) @ ('#sk41' @ X2))))))) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3') 60.46/8.27 | ~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((((X2 @ Y0 @ Y1) & (X2 @ 60.46/8.27 Y1 @ Y2))) => 60.46/8.27 (X2 @ Y0 @ Y2)))))))))))))), 60.46/8.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 60.46/8.27 thf(zip_derived_cl26, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 ( ((('#sk1' @ ('#sk66' @ X2)) & ('#sk66' @ X2 @ ('#sk29' @ X2) @ 60.46/8.27 ('#sk41' @ X2)))) 60.46/8.27 | ~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((((X2 @ Y0 @ Y1) & (X2 @ 60.46/8.27 Y1 @ Y2))) => 60.46/8.27 (X2 @ Y0 @ Y2)))))))))))) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3'))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])). 60.46/8.27 thf(zip_derived_cl33, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 ( ('#sk66' @ X2 @ ('#sk29' @ X2) @ ('#sk41' @ X2)) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3') 60.46/8.27 | ~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((((X2 @ Y0 @ Y1) & (X2 @ 60.46/8.27 Y1 @ Y2))) => 60.46/8.27 (X2 @ Y0 @ Y2)))))))))))))), 60.46/8.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])). 60.46/8.27 thf(zip_derived_cl38, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 (~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((((X2 @ ('#sk77' @ X2) @ Y0) & (X2 @ 60.46/8.27 Y0 @ Y1))) => 60.46/8.27 (X2 @ ('#sk77' @ X2) @ Y1))))))))) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3') 60.46/8.27 | ('#sk66' @ X2 @ ('#sk29' @ X2) @ ('#sk41' @ X2)))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl33])). 60.46/8.27 thf(zip_derived_cl44, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 (~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((((X2 @ ('#sk77' @ X2) @ ('#sk104' @ X2)) & (X2 @ 60.46/8.27 ('#sk104' @ X2) @ Y0))) => 60.46/8.27 (X2 @ ('#sk77' @ X2) @ Y0)))))) 60.46/8.27 | ('#sk66' @ X2 @ ('#sk29' @ X2) @ ('#sk41' @ X2)) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3'))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl38])). 60.46/8.27 thf(zip_derived_cl49, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 (~ (((((X2 @ ('#sk77' @ X2) @ ('#sk104' @ X2)) & (X2 @ 60.46/8.27 ('#sk104' @ X2) @ ('#sk141' @ X2)))) => 60.46/8.27 (X2 @ ('#sk77' @ X2) @ ('#sk141' @ X2)))) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3') 60.46/8.27 | ('#sk66' @ X2 @ ('#sk29' @ X2) @ ('#sk41' @ X2)))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl44])). 60.46/8.27 thf(zip_derived_cl56, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 (~ (X2 @ ('#sk77' @ X2) @ ('#sk141' @ X2)) 60.46/8.27 | ('#sk66' @ X2 @ ('#sk29' @ X2) @ ('#sk41' @ X2)) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3'))), 60.46/8.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl49])). 60.46/8.27 thf(zip_derived_cl5, plain, 60.46/8.27 (~ (((!!) @ (^[Y0 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((((??) @ (^[Y3 : a > a > $o]: 60.46/8.27 (((((??) @ ( 60.46/8.27 ^[Y4 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 ('#sk1' @ 60.46/8.27 Y4) & 60.46/8.27 (( 60.46/8.27 (Y3) = 60.46/8.27 (( 60.46/8.27 ^[Y5 : a, 60.46/8.27 Y6 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y7 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y8 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y9 : a]: 60.46/8.27 (( 60.46/8.27 (Y4 @ 60.46/8.27 Y8 @ 60.46/8.27 Y9) => 60.46/8.27 (Y7 @ 60.46/8.27 Y8 @ Y9))))))))) & 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y8 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y9 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y10 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y7 @ 60.46/8.27 Y9 @ 60.46/8.27 Y10) & 60.46/8.27 (Y7 @ 60.46/8.27 Y8 @ Y9))) => 60.46/8.27 (Y7 @ 60.46/8.27 Y8 @ Y10)))))))))))))) => 60.46/8.27 (Y7 @ 60.46/8.27 Y5 @ Y6))))))))))))))) & 60.46/8.27 (Y3 @ Y1 @ Y2)))))) => 60.46/8.27 (Y0 @ Y1 @ Y2))))))))) & 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((!!) @ (^[Y3 : a]: 60.46/8.27 (((((Y0 @ Y1 @ 60.46/8.27 Y2) & (Y0 @ 60.46/8.27 Y2 @ Y3))) => 60.46/8.27 (Y0 @ Y1 @ Y3)))))))))))))) => 60.46/8.27 (Y0 @ '#sk2' @ '#sk3'))))))), 60.46/8.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 60.46/8.27 thf(zip_derived_cl8, plain, 60.46/8.27 (~ (((((((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((((??) @ (^[Y2 : a > a > $o]: 60.46/8.27 (((((??) @ (^[Y3 : a > a > $o]: 60.46/8.27 ((('#sk1' @ 60.46/8.27 Y3) & 60.46/8.27 (((Y2) = 60.46/8.27 (( 60.46/8.27 ^[Y4 : a, 60.46/8.27 Y5 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y6 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y7 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y8 : a]: 60.46/8.27 (( 60.46/8.27 (Y3 @ 60.46/8.27 Y7 @ 60.46/8.27 Y8) => 60.46/8.27 (Y6 @ 60.46/8.27 Y7 @ Y8))))))))) & 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y7 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y8 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y9 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y6 @ 60.46/8.27 Y8 @ 60.46/8.27 Y9) & 60.46/8.27 (Y6 @ 60.46/8.27 Y7 @ Y8))) => 60.46/8.27 (Y6 @ 60.46/8.27 Y7 @ Y9)))))))))))))) => 60.46/8.27 (Y6 @ 60.46/8.27 Y4 @ Y5))))))))))))))) & 60.46/8.27 (Y2 @ Y0 @ Y1)))))) => 60.46/8.27 ('#sk4' @ Y0 @ Y1))))))))) & 60.46/8.27 (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 ((((('#sk4' @ Y0 @ Y1) & 60.46/8.27 ('#sk4' @ Y1 @ Y2))) => 60.46/8.27 ('#sk4' @ Y0 @ Y2)))))))))))))) => 60.46/8.27 ('#sk4' @ '#sk2' @ '#sk3')))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl5])). 60.46/8.27 thf(zip_derived_cl10, plain, 60.46/8.27 ( (((((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((((??) @ (^[Y2 : a > a > $o]: 60.46/8.27 (((((??) @ (^[Y3 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y3) & 60.46/8.27 (((Y2) = 60.46/8.27 ((^[Y4 : a, 60.46/8.27 Y5 : a]: 60.46/8.27 ( 60.46/8.27 ( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y6 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y7 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y8 : a]: 60.46/8.27 (( 60.46/8.27 (Y3 @ 60.46/8.27 Y7 @ 60.46/8.27 Y8) => 60.46/8.27 (Y6 @ 60.46/8.27 Y7 @ Y8))))))))) & 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y7 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y8 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y9 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y6 @ 60.46/8.27 Y8 @ 60.46/8.27 Y9) & 60.46/8.27 (Y6 @ 60.46/8.27 Y7 @ Y8))) => 60.46/8.27 (Y6 @ 60.46/8.27 Y7 @ Y9)))))))))))))) => 60.46/8.27 (Y6 @ 60.46/8.27 Y4 @ Y5))))))))))))))) & 60.46/8.27 (Y2 @ Y0 @ Y1)))))) => 60.46/8.27 ('#sk4' @ Y0 @ Y1))))))))) & 60.46/8.27 (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 ((((('#sk4' @ Y0 @ Y1) & 60.46/8.27 ('#sk4' @ Y1 @ Y2))) => 60.46/8.27 ('#sk4' @ Y0 @ Y2))))))))))))))), 60.46/8.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 60.46/8.27 thf(zip_derived_cl13, plain, 60.46/8.27 ( (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((((??) @ (^[Y2 : a > a > $o]: 60.46/8.27 (((((??) @ (^[Y3 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y3) & 60.46/8.27 (((Y2) = 60.46/8.27 ((^[Y4 : a, 60.46/8.27 Y5 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y6 : 60.46/8.27 a > a > $o]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y7 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y8 : a]: 60.46/8.27 (( 60.46/8.27 (Y3 @ 60.46/8.27 Y7 @ 60.46/8.27 Y8) => 60.46/8.27 (Y6 @ 60.46/8.27 Y7 @ Y8))))))))) & 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y7 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y8 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y9 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y6 @ 60.46/8.27 Y8 @ 60.46/8.27 Y9) & 60.46/8.27 (Y6 @ 60.46/8.27 Y7 @ Y8))) => 60.46/8.27 (Y6 @ 60.46/8.27 Y7 @ Y9)))))))))))))) => 60.46/8.27 (Y6 @ 60.46/8.27 Y4 @ Y5))))))))))))))) & 60.46/8.27 (Y2 @ Y0 @ Y1)))))) => 60.46/8.27 ('#sk4' @ Y0 @ Y1)))))))))), 60.46/8.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 60.46/8.27 thf(zip_derived_cl16, plain, 60.46/8.27 (![X2 : a]: 60.46/8.27 (((!!) @ (^[Y0 : a]: 60.46/8.27 (((((??) @ (^[Y1 : a > a > $o]: 60.46/8.27 (((((??) @ (^[Y2 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y2) & 60.46/8.27 (((Y1) = 60.46/8.27 ((^[Y3 : a,Y4 : a]: 60.46/8.27 (((!!) @ (^[Y5 : 60.46/8.27 a > a > $o]: 60.46/8.27 ( 60.46/8.27 ( 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y6 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y7 : a]: 60.46/8.27 (( 60.46/8.27 (Y2 @ 60.46/8.27 Y6 @ 60.46/8.27 Y7) => 60.46/8.27 (Y5 @ 60.46/8.27 Y6 @ Y7))))))))) & 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y6 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y7 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y8 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y5 @ 60.46/8.27 Y7 @ 60.46/8.27 Y8) & 60.46/8.27 (Y5 @ 60.46/8.27 Y6 @ Y7))) => 60.46/8.27 (Y5 @ 60.46/8.27 Y6 @ Y8)))))))))))))) => 60.46/8.27 (Y5 @ 60.46/8.27 Y3 @ Y4))))))))))))))) & 60.46/8.27 (Y1 @ X2 @ Y0)))))) => 60.46/8.27 ('#sk4' @ X2 @ Y0))))))), 60.46/8.27 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 60.46/8.27 thf(zip_derived_cl19, plain, 60.46/8.27 (![X2 : a, X4 : a]: 60.46/8.27 (((((??) @ (^[Y0 : a > a > $o]: 60.46/8.27 (((((??) @ (^[Y1 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y1) & 60.46/8.27 (((Y0) = 60.46/8.27 ((^[Y2 : a,Y3 : a]: 60.46/8.27 (((!!) @ (^[Y4 : a > a > $o]: 60.46/8.27 (((((((!!) @ ( 60.46/8.27 ^[Y5 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y6 : a]: 60.46/8.27 ( 60.46/8.27 ( 60.46/8.27 (Y1 @ 60.46/8.27 Y5 @ 60.46/8.27 Y6) => 60.46/8.27 (Y4 @ 60.46/8.27 Y5 @ Y6))))))))) & 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y5 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y6 : a]: 60.46/8.27 ( 60.46/8.27 ( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y7 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y4 @ 60.46/8.27 Y6 @ 60.46/8.27 Y7) & 60.46/8.27 (Y4 @ 60.46/8.27 Y5 @ Y6))) => 60.46/8.27 (Y4 @ 60.46/8.27 Y5 @ Y7)))))))))))))) => 60.46/8.27 (Y4 @ Y2 @ Y3))))))))))))))) & 60.46/8.27 (Y0 @ X2 @ X4)))))) => 60.46/8.27 ('#sk4' @ X2 @ X4)))), 60.46/8.27 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])). 60.46/8.27 thf(zip_derived_cl23, plain, 60.46/8.27 (![X2 : a, X4 : a]: 60.46/8.27 (~ (((??) @ (^[Y0 : a > a > $o]: 60.46/8.27 (((((??) @ (^[Y1 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y1) & 60.46/8.27 (((Y0) = 60.46/8.27 ((^[Y2 : a,Y3 : a]: 60.46/8.27 (((!!) @ (^[Y4 : a > a > $o]: 60.46/8.27 (((((((!!) @ ( 60.46/8.27 ^[Y5 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y6 : a]: 60.46/8.27 ( 60.46/8.27 ( 60.46/8.27 (Y1 @ 60.46/8.27 Y5 @ 60.46/8.27 Y6) => 60.46/8.27 (Y4 @ 60.46/8.27 Y5 @ Y6))))))))) & 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y5 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y6 : a]: 60.46/8.27 ( 60.46/8.27 ( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y7 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y4 @ 60.46/8.27 Y6 @ 60.46/8.27 Y7) & 60.46/8.27 (Y4 @ 60.46/8.27 Y5 @ Y6))) => 60.46/8.27 (Y4 @ 60.46/8.27 Y5 @ Y7)))))))))))))) => 60.46/8.27 (Y4 @ Y2 @ Y3))))))))))))))) & 60.46/8.27 (Y0 @ X2 @ X4)))))) 60.46/8.27 | ('#sk4' @ X2 @ X4))), 60.46/8.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])). 60.46/8.27 thf(zip_derived_cl28, plain, 60.46/8.27 (![X2 : a, X4 : a, X6 : a > a > $o]: 60.46/8.27 (~ (((((??) @ (^[Y0 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y0) & 60.46/8.27 (((X6) = 60.46/8.27 ((^[Y1 : a,Y2 : a]: 60.46/8.27 (((!!) @ (^[Y3 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y4 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y5 : a]: 60.46/8.27 (((Y0 @ Y4 @ 60.46/8.27 Y5) => 60.46/8.27 (Y3 @ Y4 @ 60.46/8.27 Y5))))))))) & 60.46/8.27 (((!!) @ (^[Y4 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y5 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y6 : a]: 60.46/8.27 ( 60.46/8.27 ( 60.46/8.27 (( 60.46/8.27 (Y3 @ 60.46/8.27 Y5 @ 60.46/8.27 Y6) & 60.46/8.27 (Y3 @ 60.46/8.27 Y4 @ Y5))) => 60.46/8.27 (Y3 @ 60.46/8.27 Y4 @ Y6)))))))))))))) => 60.46/8.27 (Y3 @ Y1 @ Y2))))))))))))))) & 60.46/8.27 (X6 @ X2 @ X4))) 60.46/8.27 | ('#sk4' @ X2 @ X4))), 60.46/8.27 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])). 60.46/8.27 thf(zip_derived_cl35, plain, 60.46/8.27 (![X2 : a, X4 : a, X6 : a > a > $o]: 60.46/8.27 (~ (((??) @ (^[Y0 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y0) & 60.46/8.27 (((X6) = 60.46/8.27 ((^[Y1 : a,Y2 : a]: 60.46/8.27 (((!!) @ (^[Y3 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y4 : a]: 60.46/8.27 (((!!) @ (^[Y5 : a]: 60.46/8.27 (( 60.46/8.27 (Y0 @ 60.46/8.27 Y4 @ 60.46/8.27 Y5) => 60.46/8.27 (Y3 @ 60.46/8.27 Y4 @ Y5))))))))) & 60.46/8.27 (((!!) @ (^[Y4 : a]: 60.46/8.27 (((!!) @ (^[Y5 : a]: 60.46/8.27 (( 60.46/8.27 (!!) @ ( 60.46/8.27 ^[Y6 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y3 @ 60.46/8.27 Y5 @ 60.46/8.27 Y6) & 60.46/8.27 (Y3 @ 60.46/8.27 Y4 @ Y5))) => 60.46/8.27 (Y3 @ 60.46/8.27 Y4 @ Y6)))))))))))))) => 60.46/8.27 (Y3 @ Y1 @ Y2))))))))))))))) 60.46/8.27 | ~ (X6 @ X2 @ X4) 60.46/8.27 | ('#sk4' @ X2 @ X4))), 60.46/8.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])). 60.46/8.27 thf(zip_derived_cl40, plain, 60.46/8.27 (![X2 : a, X4 : a, X6 : a > a > $o, X8 : a > a > $o]: 60.46/8.27 (~ ((('#sk1' @ X8) & 60.46/8.27 (((X6) = 60.46/8.27 ((^[Y0 : a,Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y3 : a]: 60.46/8.27 (((!!) @ (^[Y4 : a]: 60.46/8.27 (((X8 @ Y3 @ Y4) => 60.46/8.27 (Y2 @ Y3 @ Y4))))))))) & 60.46/8.27 (((!!) @ (^[Y3 : a]: 60.46/8.27 (((!!) @ (^[Y4 : a]: 60.46/8.27 (((!!) @ (^[Y5 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y2 @ 60.46/8.27 Y4 @ 60.46/8.27 Y5) & 60.46/8.27 (Y2 @ 60.46/8.27 Y3 @ Y4))) => 60.46/8.27 (Y2 @ 60.46/8.27 Y3 @ Y5)))))))))))))) => 60.46/8.27 (Y2 @ Y0 @ Y1)))))))))))) 60.46/8.27 | ('#sk4' @ X2 @ X4) 60.46/8.27 | ~ (X6 @ X2 @ X4))), 60.46/8.27 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl35])). 60.46/8.27 thf(zip_derived_cl47, plain, 60.46/8.27 (![X2 : a, X4 : a, X6 : a > a > $o, X8 : a > a > $o]: 60.46/8.27 (~ ('#sk1' @ X8) 60.46/8.27 | ~ (((X6) = 60.46/8.27 ((^[Y0 : a,Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y3 : a]: 60.46/8.27 (((!!) @ (^[Y4 : a]: 60.46/8.27 (((X8 @ Y3 @ Y4) => 60.46/8.27 (Y2 @ Y3 @ Y4))))))))) & 60.46/8.27 (((!!) @ (^[Y3 : a]: 60.46/8.27 (((!!) @ (^[Y4 : a]: 60.46/8.27 (((!!) @ (^[Y5 : a]: 60.46/8.27 (( 60.46/8.27 (( 60.46/8.27 (Y2 @ 60.46/8.27 Y4 @ 60.46/8.27 Y5) & 60.46/8.27 (Y2 @ 60.46/8.27 Y3 @ Y4))) => 60.46/8.27 (Y2 @ 60.46/8.27 Y3 @ Y5)))))))))))))) => 60.46/8.27 (Y2 @ Y0 @ Y1)))))))))) 60.46/8.27 | ~ (X6 @ X2 @ X4) 60.46/8.27 | ('#sk4' @ X2 @ X4))), 60.46/8.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl40])). 60.46/8.27 thf(zip_derived_cl52, plain, 60.46/8.27 (![X2 : a, X4 : a, X6 : a > a > $o, X8 : a > a > $o]: 60.46/8.27 (~ ('#sk1' @ X8) 60.46/8.27 | ((X6) 60.46/8.27 != ((^[Y0 : a,Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y3 : a]: 60.46/8.27 (((!!) @ (^[Y4 : a]: 60.46/8.27 (((X8 @ Y3 @ 60.46/8.27 Y4) => (Y2 @ 60.46/8.27 Y3 @ Y4))))))))) & 60.46/8.27 (((!!) @ (^[Y3 : a]: 60.46/8.27 (((!!) @ (^[Y4 : a]: 60.46/8.27 (((!!) @ ( 60.46/8.27 ^[Y5 : a]: 60.46/8.27 (((((Y2 @ 60.46/8.27 Y4 @ Y5) & 60.46/8.27 (Y2 @ 60.46/8.27 Y3 @ Y4))) => 60.46/8.27 (Y2 @ Y3 @ 60.46/8.27 Y5)))))))))))))) => 60.46/8.27 (Y2 @ Y0 @ Y1))))))))) 60.46/8.27 | ~ (X6 @ X2 @ X4) 60.46/8.27 | ('#sk4' @ X2 @ X4))), 60.46/8.27 inference('simplify nested equalities', [status(thm)], [zip_derived_cl47])). 60.46/8.27 thf(zip_derived_cl74, plain, 60.46/8.27 (![X0 : a, X1 : a, X2 : a > a > $o]: 60.46/8.27 ( ('#sk4' @ X1 @ X0) 60.46/8.27 | ~ ((^[Y0 : a,Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y3 : a]: 60.46/8.27 (((!!) @ (^[Y4 : a]: 60.46/8.27 (((X2 @ Y3 @ Y4) => 60.46/8.27 (Y2 @ Y3 @ Y4))))))))) & 60.46/8.27 (((!!) @ (^[Y3 : a]: 60.46/8.27 (((!!) @ (^[Y4 : a]: 60.46/8.27 (((!!) @ (^[Y5 : a]: 60.46/8.27 ( 60.46/8.27 ( 60.46/8.27 (( 60.46/8.27 (Y2 @ 60.46/8.27 Y4 @ 60.46/8.27 Y5) & 60.46/8.27 (Y2 @ 60.46/8.27 Y3 @ Y4))) => 60.46/8.27 (Y2 @ 60.46/8.27 Y3 @ Y5)))))))))))))) => 60.46/8.27 (Y2 @ Y0 @ Y1))))))) @ 60.46/8.27 X1 @ X0) 60.46/8.27 | ~ ('#sk1' @ X2))), 60.46/8.27 inference('eq_res', [status(thm)], [zip_derived_cl52])). 60.46/8.27 thf(zip_derived_cl75, plain, 60.46/8.27 (![X0 : a, X1 : a, X2 : a > a > $o]: 60.46/8.27 ( ('#sk4' @ X1 @ X0) 60.46/8.27 | ~ (((!!) @ (^[Y0 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((X2 @ Y1 @ Y2) => 60.46/8.27 (Y0 @ Y1 @ Y2))))))))) & 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((!!) @ (^[Y3 : a]: 60.46/8.27 (((((Y0 @ 60.46/8.27 Y2 @ 60.46/8.27 Y3) & 60.46/8.27 (Y0 @ 60.46/8.27 Y1 @ Y2))) => 60.46/8.27 (Y0 @ Y1 @ 60.46/8.27 Y3)))))))))))))) => 60.46/8.27 (Y0 @ X1 @ X0)))))) 60.46/8.27 | ~ ('#sk1' @ X2))), 60.46/8.27 inference('ho_norm', [status(thm)], [zip_derived_cl74])). 60.46/8.27 thf(zip_derived_cl1811, plain, 60.46/8.27 (![X0 : a, X1 : a, X2 : a > a > $o]: 60.46/8.27 (~ (((((((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((X2 @ Y0 @ Y1) => ('#sk10626' @ X2 @ 60.46/8.27 X0 @ X1 @ Y0 @ Y1))))))))) & 60.46/8.27 (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 ((((('#sk10626' @ X2 @ 60.46/8.27 X0 @ X1 @ Y1 @ Y2) & 60.46/8.27 ('#sk10626' @ X2 @ 60.46/8.27 X0 @ X1 @ Y0 @ Y1))) => 60.46/8.27 ('#sk10626' @ X2 @ X0 @ 60.46/8.27 X1 @ Y0 @ Y2)))))))))))))) => 60.46/8.27 ('#sk10626' @ X2 @ X0 @ X1 @ X1 @ X0))) 60.46/8.27 | ~ ('#sk1' @ X2) 60.46/8.27 | ('#sk4' @ X1 @ X0))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl75])). 60.46/8.27 thf(zip_derived_cl1813, plain, 60.46/8.27 (![X0 : a, X1 : a, X2 : a > a > $o]: 60.46/8.27 (~ ('#sk10626' @ X2 @ X0 @ X1 @ X1 @ X0) 60.46/8.27 | ('#sk4' @ X1 @ X0) 60.46/8.27 | ~ ('#sk1' @ X2))), 60.46/8.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1811])). 60.46/8.27 thf(zip_derived_cl6, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 (((((((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((((??) @ (^[Y2 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y2) & (Y2 @ 60.46/8.27 Y0 @ Y1)))))) => 60.46/8.27 (X2 @ Y0 @ Y1))))))))) & 60.46/8.27 (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((((X2 @ Y0 @ Y1) & (X2 @ 60.46/8.27 Y1 @ Y2))) => 60.46/8.27 (X2 @ Y0 @ Y2)))))))))))))) => 60.46/8.27 (X2 @ '#sk2' @ '#sk3')))), 60.46/8.27 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 60.46/8.27 thf(zip_derived_cl7, plain, 60.46/8.27 ( (((((((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((((??) @ (^[Y2 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y2) & (Y2 @ Y0 @ 60.46/8.27 Y1)))))) => 60.46/8.27 ('#sk4' @ Y0 @ Y1))))))))) & 60.46/8.27 (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 ((((('#sk4' @ Y0 @ Y1) & 60.46/8.27 ('#sk4' @ Y1 @ Y2))) => 60.46/8.27 ('#sk4' @ Y0 @ Y2)))))))))))))) => 60.46/8.27 ('#sk4' @ '#sk2' @ '#sk3')))), 60.46/8.27 inference('triggered_bool_instantiation', [status(thm)], 60.46/8.27 [zip_derived_cl6])). 60.46/8.27 thf(zip_derived_cl11, plain, (~ ('#sk4' @ '#sk2' @ '#sk3')), 60.46/8.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 60.46/8.27 thf(zip_derived_cl127, plain, 60.46/8.27 ( (((((((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((((??) @ (^[Y2 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y2) & (Y2 @ Y0 @ 60.46/8.27 Y1)))))) => 60.46/8.27 ('#sk4' @ Y0 @ Y1))))))))) & 60.46/8.27 (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 ((((('#sk4' @ Y0 @ Y1) & 60.46/8.27 ('#sk4' @ Y1 @ Y2))) => 60.46/8.27 ('#sk4' @ Y0 @ Y2)))))))))))))) => 60.46/8.27 ($false)))), 60.46/8.27 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl11])). 60.46/8.27 thf(zip_derived_cl128, plain, 60.46/8.27 ( (((~) @ (((((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((((??) @ (^[Y2 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y2) & 60.46/8.27 (Y2 @ Y0 @ Y1)))))) => 60.46/8.27 ('#sk4' @ Y0 @ Y1))))))))) & 60.46/8.27 (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 ((((('#sk4' @ Y0 @ Y1) & 60.46/8.27 ('#sk4' @ Y1 @ Y2))) => 60.46/8.27 ('#sk4' @ Y0 @ Y2))))))))))))))))), 60.46/8.27 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl127])). 60.46/8.27 thf(zip_derived_cl129, plain, 60.46/8.27 (~ (((((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((((??) @ (^[Y2 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y2) & (Y2 @ Y0 @ 60.46/8.27 Y1)))))) => 60.46/8.27 ('#sk4' @ Y0 @ Y1))))))))) & 60.46/8.27 (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 ((((('#sk4' @ Y0 @ Y1) & 60.46/8.27 ('#sk4' @ Y1 @ Y2))) => 60.46/8.27 ('#sk4' @ Y0 @ Y2))))))))))))))), 60.46/8.27 inference('simplify nested equalities', [status(thm)], 60.46/8.27 [zip_derived_cl128])). 60.46/8.27 thf(zip_derived_cl130, plain, 60.46/8.27 ((~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((((??) @ (^[Y2 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y2) & (Y2 @ Y0 @ 60.46/8.27 Y1)))))) => 60.46/8.27 ('#sk4' @ Y0 @ Y1))))))))) 60.46/8.27 | ~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 ((((('#sk4' @ Y0 @ Y1) & 60.46/8.27 ('#sk4' @ Y1 @ Y2))) => 60.46/8.27 ('#sk4' @ Y0 @ Y2)))))))))))))), 60.46/8.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl129])). 60.46/8.27 thf(zip_derived_cl131, plain, 60.46/8.27 ((~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((((??) @ (^[Y1 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y1) & (Y1 @ 60.46/8.27 ('#sk29' @ '#sk4') @ Y0)))))) => 60.46/8.27 ('#sk4' @ ('#sk29' @ '#sk4') @ Y0)))))) 60.46/8.27 | ~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 ((((('#sk4' @ Y0 @ Y1) & 60.46/8.27 ('#sk4' @ Y1 @ Y2))) => 60.46/8.27 ('#sk4' @ Y0 @ Y2)))))))))))))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl130])). 60.46/8.27 thf(zip_derived_cl132, plain, 60.46/8.27 ((~ (((((??) @ (^[Y0 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y0) & (Y0 @ ('#sk29' @ '#sk4') @ 60.46/8.27 ('#sk41' @ '#sk4'))))))) => 60.46/8.27 ('#sk4' @ ('#sk29' @ '#sk4') @ ('#sk41' @ '#sk4')))) 60.46/8.27 | ~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 ((((('#sk4' @ Y0 @ Y1) & 60.46/8.27 ('#sk4' @ Y1 @ Y2))) => 60.46/8.27 ('#sk4' @ Y0 @ Y2)))))))))))))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl131])). 60.46/8.27 thf(zip_derived_cl133, plain, 60.46/8.27 (( (((??) @ (^[Y0 : a > a > $o]: 60.46/8.27 ((('#sk1' @ Y0) & (Y0 @ ('#sk29' @ '#sk4') @ 60.46/8.27 ('#sk41' @ '#sk4'))))))) 60.46/8.27 | ~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 ((((('#sk4' @ Y0 @ Y1) & 60.46/8.27 ('#sk4' @ Y1 @ Y2))) => 60.46/8.27 ('#sk4' @ Y0 @ Y2)))))))))))))), 60.46/8.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl132])). 60.46/8.27 thf(zip_derived_cl135, plain, 60.46/8.27 (( ((('#sk1' @ ('#sk66' @ '#sk4')) & ('#sk66' @ '#sk4' @ 60.46/8.27 ('#sk29' @ '#sk4') @ ('#sk41' @ '#sk4')))) 60.46/8.27 | ~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 ((((('#sk4' @ Y0 @ Y1) & 60.46/8.27 ('#sk4' @ Y1 @ Y2))) => 60.46/8.27 ('#sk4' @ Y0 @ Y2)))))))))))))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl133])). 60.46/8.27 thf(zip_derived_cl137, plain, 60.46/8.27 (( ('#sk1' @ ('#sk66' @ '#sk4')) 60.46/8.27 | ~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 ((((('#sk4' @ Y0 @ Y1) & 60.46/8.27 ('#sk4' @ Y1 @ Y2))) => 60.46/8.27 ('#sk4' @ Y0 @ Y2)))))))))))))), 60.46/8.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl135])). 60.46/8.27 thf(zip_derived_cl140, plain, 60.46/8.27 ((~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 ((((('#sk4' @ ('#sk77' @ '#sk4') @ Y0) & 60.46/8.27 ('#sk4' @ Y0 @ Y1))) => 60.46/8.27 ('#sk4' @ ('#sk77' @ '#sk4') @ Y1))))))))) 60.46/8.27 | ('#sk1' @ ('#sk66' @ '#sk4')))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl137])). 60.46/8.27 thf(zip_derived_cl143, plain, 60.46/8.27 ((~ (((!!) @ (^[Y0 : a]: 60.46/8.27 ((((('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk104' @ '#sk4')) & 60.46/8.27 ('#sk4' @ ('#sk104' @ '#sk4') @ Y0))) => 60.46/8.27 ('#sk4' @ ('#sk77' @ '#sk4') @ Y0)))))) 60.46/8.27 | ('#sk1' @ ('#sk66' @ '#sk4')))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl140])). 60.46/8.27 thf(zip_derived_cl147, plain, 60.46/8.27 ((~ ((((('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk104' @ '#sk4')) & ('#sk4' @ 60.46/8.27 ('#sk104' @ '#sk4') @ ('#sk141' @ '#sk4')))) => 60.46/8.27 ('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk141' @ '#sk4')))) 60.46/8.27 | ('#sk1' @ ('#sk66' @ '#sk4')))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl143])). 60.46/8.27 thf(zip_derived_cl151, plain, 60.46/8.27 (( ((('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk104' @ '#sk4')) & ('#sk4' @ 60.46/8.27 ('#sk104' @ '#sk4') @ ('#sk141' @ '#sk4')))) 60.46/8.27 | ('#sk1' @ ('#sk66' @ '#sk4')))), 60.46/8.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl147])). 60.46/8.27 thf(zip_derived_cl156, plain, 60.46/8.27 (( ('#sk4' @ ('#sk104' @ '#sk4') @ ('#sk141' @ '#sk4')) 60.46/8.27 | ('#sk1' @ ('#sk66' @ '#sk4')))), 60.46/8.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl151])). 60.46/8.27 thf(zip_derived_cl32, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 ( ('#sk1' @ ('#sk66' @ X2)) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3') 60.46/8.27 | ~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 (((((X2 @ Y0 @ Y1) & (X2 @ 60.46/8.27 Y1 @ Y2))) => 60.46/8.27 (X2 @ Y0 @ Y2)))))))))))))), 60.46/8.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])). 60.46/8.27 thf(zip_derived_cl37, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 (~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((((X2 @ ('#sk77' @ X2) @ Y0) & (X2 @ 60.46/8.27 Y0 @ Y1))) => 60.46/8.27 (X2 @ ('#sk77' @ X2) @ Y1))))))))) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3') 60.46/8.27 | ('#sk1' @ ('#sk66' @ X2)))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl32])). 60.46/8.27 thf(zip_derived_cl43, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 (~ (((!!) @ (^[Y0 : a]: 60.46/8.27 (((((X2 @ ('#sk77' @ X2) @ ('#sk104' @ X2)) & (X2 @ 60.46/8.27 ('#sk104' @ X2) @ Y0))) => 60.46/8.27 (X2 @ ('#sk77' @ X2) @ Y0)))))) 60.46/8.27 | ('#sk1' @ ('#sk66' @ X2)) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3'))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl37])). 60.46/8.27 thf(zip_derived_cl48, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 (~ (((((X2 @ ('#sk77' @ X2) @ ('#sk104' @ X2)) & (X2 @ 60.46/8.27 ('#sk104' @ X2) @ ('#sk141' @ X2)))) => 60.46/8.27 (X2 @ ('#sk77' @ X2) @ ('#sk141' @ X2)))) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3') 60.46/8.27 | ('#sk1' @ ('#sk66' @ X2)))), 60.46/8.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl43])). 60.46/8.27 thf(zip_derived_cl53, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 ( (((X2 @ ('#sk77' @ X2) @ ('#sk104' @ X2)) & (X2 @ ('#sk104' @ X2) @ 60.46/8.27 ('#sk141' @ X2)))) 60.46/8.27 | ('#sk1' @ ('#sk66' @ X2)) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3'))), 60.46/8.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl48])). 60.46/8.27 thf(zip_derived_cl57, plain, 60.46/8.27 (![X2 : a > a > $o]: 60.46/8.27 ( (X2 @ ('#sk77' @ X2) @ ('#sk104' @ X2)) 60.46/8.27 | (X2 @ '#sk2' @ '#sk3') 60.46/8.27 | ('#sk1' @ ('#sk66' @ X2)))), 60.46/8.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl53])). 60.46/8.27 thf(zip_derived_cl14, plain, 60.46/8.27 ( (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 (((!!) @ (^[Y2 : a]: 60.46/8.27 ((((('#sk4' @ Y0 @ Y1) & ('#sk4' @ 60.46/8.27 Y1 @ Y2))) => 60.46/8.27 ('#sk4' @ Y0 @ Y2))))))))))))), 60.46/8.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 60.46/8.27 thf(zip_derived_cl17, plain, 60.46/8.27 (![X2 : a]: 60.46/8.27 (((!!) @ (^[Y0 : a]: 60.46/8.27 (((!!) @ (^[Y1 : a]: 60.46/8.27 ((((('#sk4' @ X2 @ Y0) & ('#sk4' @ Y0 @ Y1))) => 60.46/8.27 ('#sk4' @ X2 @ Y1)))))))))), 60.46/8.27 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 60.46/8.27 thf(zip_derived_cl20, plain, 60.46/8.27 (![X2 : a, X4 : a]: 60.46/8.27 (((!!) @ (^[Y0 : a]: 60.46/8.27 ((((('#sk4' @ X2 @ X4) & ('#sk4' @ X4 @ Y0))) => 60.46/8.27 ('#sk4' @ X2 @ Y0))))))), 60.46/8.27 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 60.46/8.27 thf(zip_derived_cl24, plain, 60.46/8.27 (![X2 : a, X4 : a, X6 : a]: 60.46/8.27 ((((('#sk4' @ X2 @ X4) & ('#sk4' @ X4 @ X6))) => ('#sk4' @ X2 @ X6)))), 60.46/8.27 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])). 60.46/8.27 thf(zip_derived_cl31, plain, 60.46/8.27 (![X2 : a, X4 : a, X6 : a]: 60.46/8.27 (~ ((('#sk4' @ X2 @ X4) & ('#sk4' @ X4 @ X6))) | ('#sk4' @ X2 @ X6))), 60.46/8.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])). 60.46/8.27 thf(zip_derived_cl36, plain, 60.46/8.27 (![X2 : a, X4 : a, X6 : a]: 60.46/8.27 (~ ('#sk4' @ X2 @ X4) | ~ ('#sk4' @ X4 @ X6) | ('#sk4' @ X2 @ X6))), 60.46/8.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl31])). 60.46/8.27 thf(zip_derived_cl84, plain, 60.46/8.27 (![X0 : a]: 60.46/8.27 ( ('#sk1' @ ('#sk66' @ '#sk4')) 60.46/8.27 | ('#sk4' @ '#sk2' @ '#sk3') 60.46/8.27 | ('#sk4' @ ('#sk77' @ '#sk4') @ X0) 60.46/8.27 | ~ ('#sk4' @ ('#sk104' @ '#sk4') @ X0))), 60.46/8.27 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl36])). 60.46/8.27 thf(zip_derived_cl11, plain, (~ ('#sk4' @ '#sk2' @ '#sk3')), 60.46/8.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 60.46/8.27 thf(zip_derived_cl112, plain, 60.46/8.27 (![X0 : a]: 60.46/8.27 ( ('#sk1' @ ('#sk66' @ '#sk4')) 60.46/8.27 | ('#sk4' @ ('#sk77' @ '#sk4') @ X0) 60.46/8.27 | ~ ('#sk4' @ ('#sk104' @ '#sk4') @ X0))), 60.46/8.27 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl11])). 60.46/8.27 thf(zip_derived_cl196, plain, 60.46/8.27 (( ('#sk1' @ ('#sk66' @ '#sk4')) 60.46/8.27 | ('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk141' @ '#sk4')) 60.46/8.27 | ('#sk1' @ ('#sk66' @ '#sk4')))), 60.46/8.27 inference('sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl112])). 60.46/8.27 thf(zip_derived_cl200, plain, 60.46/8.27 (( ('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk141' @ '#sk4')) 60.46/8.27 | ('#sk1' @ ('#sk66' @ '#sk4')))), 60.46/8.27 inference('simplify', [status(thm)], [zip_derived_cl196])). 60.46/8.27 thf(zip_derived_cl152, plain, 60.46/8.27 ((~ ('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk141' @ '#sk4')) 60.46/8.27 | ('#sk1' @ ('#sk66' @ '#sk4')))), 60.46/8.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl147])). 60.46/8.27 thf(zip_derived_cl203, plain, ( ('#sk1' @ ('#sk66' @ '#sk4'))), 60.46/8.27 inference('clc', [status(thm)], [zip_derived_cl200, zip_derived_cl152])). 60.46/8.28 thf(zip_derived_cl1812, plain, 60.46/8.28 (![X0 : a, X1 : a, X2 : a > a > $o]: 60.46/8.28 ( (((((!!) @ (^[Y0 : a]: 60.46/8.28 (((!!) @ (^[Y1 : a]: 60.46/8.28 (((X2 @ Y0 @ Y1) => ('#sk10626' @ X2 @ 60.46/8.28 X0 @ X1 @ Y0 @ Y1))))))))) & 60.46/8.28 (((!!) @ (^[Y0 : a]: 60.46/8.28 (((!!) @ (^[Y1 : a]: 60.46/8.28 (((!!) @ (^[Y2 : a]: 60.46/8.28 ((((('#sk10626' @ X2 @ X0 @ 60.46/8.28 X1 @ Y1 @ Y2) & 60.46/8.28 ('#sk10626' @ X2 @ X0 @ 60.46/8.28 X1 @ Y0 @ Y1))) => 60.46/8.28 ('#sk10626' @ X2 @ X0 @ 60.46/8.28 X1 @ Y0 @ Y2)))))))))))))) 60.46/8.28 | ('#sk4' @ X1 @ X0) 60.46/8.28 | ~ ('#sk1' @ X2))), 60.46/8.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1811])). 60.46/8.28 thf(zip_derived_cl1814, plain, 60.46/8.28 (![X0 : a, X1 : a, X2 : a > a > $o]: 60.46/8.28 ( (((!!) @ (^[Y0 : a]: 60.46/8.28 (((!!) @ (^[Y1 : a]: 60.46/8.28 (((X2 @ Y0 @ Y1) => ('#sk10626' @ X2 @ X0 @ 60.46/8.28 X1 @ Y0 @ Y1))))))))) 60.46/8.28 | ~ ('#sk1' @ X2) 60.46/8.28 | ('#sk4' @ X1 @ X0))), 60.46/8.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1812])). 60.46/8.28 thf(zip_derived_cl1816, plain, 60.46/8.28 (![X0 : a, X1 : a, X2 : a > a > $o, X4 : a]: 60.46/8.28 ( (((!!) @ (^[Y0 : a]: 60.46/8.28 (((X2 @ X4 @ Y0) => ('#sk10626' @ X2 @ X0 @ X1 @ X4 @ 60.46/8.28 Y0)))))) 60.46/8.28 | ('#sk4' @ X1 @ X0) 60.46/8.28 | ~ ('#sk1' @ X2))), 60.46/8.28 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1814])). 60.46/8.28 thf(zip_derived_cl1820, plain, 60.46/8.28 (![X0 : a, X1 : a, X2 : a > a > $o, X4 : a, X6 : a]: 60.46/8.28 ( (((X2 @ X4 @ X6) => ('#sk10626' @ X2 @ X0 @ X1 @ X4 @ X6))) 60.46/8.28 | ~ ('#sk1' @ X2) 60.46/8.28 | ('#sk4' @ X1 @ X0))), 60.46/8.28 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1816])). 60.46/8.28 thf(zip_derived_cl1822, plain, 60.46/8.28 (![X0 : a, X1 : a, X2 : a > a > $o, X4 : a, X6 : a]: 60.46/8.28 (~ (X2 @ X4 @ X6) 60.46/8.28 | ('#sk10626' @ X2 @ X0 @ X1 @ X4 @ X6) 60.46/8.28 | ('#sk4' @ X1 @ X0) 60.46/8.28 | ~ ('#sk1' @ X2))), 60.46/8.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1820])). 60.46/8.28 thf(zip_derived_cl4088, plain, 60.46/8.28 (![X0 : a, X1 : a, X2 : a, X3 : a]: 60.46/8.28 ( ('#sk4' @ X1 @ X0) 60.46/8.28 | ('#sk10626' @ ('#sk66' @ '#sk4') @ X0 @ X1 @ X3 @ X2) 60.46/8.28 | ~ ('#sk66' @ '#sk4' @ X3 @ X2))), 60.46/8.28 inference('sup-', [status(thm)], [zip_derived_cl203, zip_derived_cl1822])). 60.46/8.28 thf(zip_derived_cl4426, plain, 60.46/8.28 (![X0 : a, X1 : a]: 60.46/8.28 (~ ('#sk1' @ ('#sk66' @ '#sk4')) 60.46/8.28 | ('#sk4' @ X1 @ X0) 60.46/8.28 | ~ ('#sk66' @ '#sk4' @ X1 @ X0) 60.46/8.28 | ('#sk4' @ X1 @ X0))), 60.46/8.28 inference('sup+', [status(thm)], [zip_derived_cl1813, zip_derived_cl4088])). 60.46/8.28 thf(zip_derived_cl203, plain, ( ('#sk1' @ ('#sk66' @ '#sk4'))), 60.46/8.28 inference('clc', [status(thm)], [zip_derived_cl200, zip_derived_cl152])). 60.46/8.28 thf(zip_derived_cl4436, plain, 60.46/8.28 (![X0 : a, X1 : a]: 60.46/8.28 ( ('#sk4' @ X1 @ X0) 60.46/8.28 | ~ ('#sk66' @ '#sk4' @ X1 @ X0) 60.46/8.28 | ('#sk4' @ X1 @ X0))), 60.46/8.28 inference('demod', [status(thm)], [zip_derived_cl4426, zip_derived_cl203])). 60.46/8.28 thf(zip_derived_cl4437, plain, 60.46/8.28 (![X0 : a, X1 : a]: 60.46/8.28 (~ ('#sk66' @ '#sk4' @ X1 @ X0) | ('#sk4' @ X1 @ X0))), 60.46/8.28 inference('simplify', [status(thm)], [zip_derived_cl4436])). 60.46/8.28 thf(zip_derived_cl4474, plain, 60.46/8.28 (( ('#sk4' @ '#sk2' @ '#sk3') 60.46/8.28 | ~ ('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk141' @ '#sk4')) 60.46/8.28 | ('#sk4' @ ('#sk29' @ '#sk4') @ ('#sk41' @ '#sk4')))), 60.46/8.28 inference('sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl4437])). 60.46/8.28 thf(zip_derived_cl11, plain, (~ ('#sk4' @ '#sk2' @ '#sk3')), 60.46/8.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 60.46/8.28 thf(zip_derived_cl4500, plain, 60.46/8.28 ((~ ('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk141' @ '#sk4')) 60.46/8.28 | ('#sk4' @ ('#sk29' @ '#sk4') @ ('#sk41' @ '#sk4')))), 60.46/8.28 inference('demod', [status(thm)], [zip_derived_cl4474, zip_derived_cl11])). 60.46/8.28 thf(zip_derived_cl134, plain, 60.46/8.28 ((~ ('#sk4' @ ('#sk29' @ '#sk4') @ ('#sk41' @ '#sk4')) 60.46/8.28 | ~ (((!!) @ (^[Y0 : a]: 60.46/8.28 (((!!) @ (^[Y1 : a]: 60.46/8.28 (((!!) @ (^[Y2 : a]: 60.46/8.28 ((((('#sk4' @ Y0 @ Y1) & 60.46/8.28 ('#sk4' @ Y1 @ Y2))) => 60.46/8.28 ('#sk4' @ Y0 @ Y2)))))))))))))), 60.46/8.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl132])). 60.46/8.28 thf(zip_derived_cl136, plain, 60.46/8.28 ((~ (((!!) @ (^[Y0 : a]: 60.46/8.28 (((!!) @ (^[Y1 : a]: 60.46/8.28 ((((('#sk4' @ ('#sk77' @ '#sk4') @ Y0) & 60.46/8.28 ('#sk4' @ Y0 @ Y1))) => 60.46/8.28 ('#sk4' @ ('#sk77' @ '#sk4') @ Y1))))))))) 60.46/8.28 | ~ ('#sk4' @ ('#sk29' @ '#sk4') @ ('#sk41' @ '#sk4')))), 60.46/8.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl134])). 60.46/8.28 thf(zip_derived_cl139, plain, 60.46/8.28 ((~ (((!!) @ (^[Y0 : a]: 60.46/8.28 ((((('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk104' @ '#sk4')) & 60.46/8.28 ('#sk4' @ ('#sk104' @ '#sk4') @ Y0))) => 60.46/8.28 ('#sk4' @ ('#sk77' @ '#sk4') @ Y0)))))) 60.46/8.28 | ~ ('#sk4' @ ('#sk29' @ '#sk4') @ ('#sk41' @ '#sk4')))), 60.46/8.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl136])). 60.46/8.28 thf(zip_derived_cl142, plain, 60.46/8.28 ((~ ((((('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk104' @ '#sk4')) & ('#sk4' @ 60.46/8.28 ('#sk104' @ '#sk4') @ ('#sk141' @ '#sk4')))) => 60.46/8.28 ('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk141' @ '#sk4')))) 60.46/8.28 | ~ ('#sk4' @ ('#sk29' @ '#sk4') @ ('#sk41' @ '#sk4')))), 60.46/8.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl139])). 60.46/8.28 thf(zip_derived_cl146, plain, 60.46/8.28 ((~ ('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk141' @ '#sk4')) 60.46/8.28 | ~ ('#sk4' @ ('#sk29' @ '#sk4') @ ('#sk41' @ '#sk4')))), 60.46/8.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl142])). 60.46/8.28 thf(zip_derived_cl4514, plain, 60.46/8.28 (~ ('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk141' @ '#sk4'))), 60.46/8.28 inference('clc', [status(thm)], [zip_derived_cl4500, zip_derived_cl146])). 60.46/8.28 thf(zip_derived_cl55, plain, 60.46/8.28 (![X2 : a > a > $o]: 60.46/8.28 ( (((X2 @ ('#sk77' @ X2) @ ('#sk104' @ X2)) & (X2 @ ('#sk104' @ X2) @ 60.46/8.28 ('#sk141' @ X2)))) 60.46/8.28 | ('#sk66' @ X2 @ ('#sk29' @ X2) @ ('#sk41' @ X2)) 60.46/8.28 | (X2 @ '#sk2' @ '#sk3'))), 60.46/8.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl49])). 60.46/8.28 thf(zip_derived_cl60, plain, 60.46/8.28 (![X2 : a > a > $o]: 60.46/8.28 ( (X2 @ ('#sk104' @ X2) @ ('#sk141' @ X2)) 60.46/8.28 | (X2 @ '#sk2' @ '#sk3') 60.46/8.28 | ('#sk66' @ X2 @ ('#sk29' @ X2) @ ('#sk41' @ X2)))), 60.46/8.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl55])). 60.46/8.28 thf(zip_derived_cl4437, plain, 60.46/8.28 (![X0 : a, X1 : a]: 60.46/8.28 (~ ('#sk66' @ '#sk4' @ X1 @ X0) | ('#sk4' @ X1 @ X0))), 60.46/8.28 inference('simplify', [status(thm)], [zip_derived_cl4436])). 60.46/8.28 thf(zip_derived_cl4472, plain, 60.46/8.28 (( ('#sk4' @ '#sk2' @ '#sk3') 60.46/8.28 | ('#sk4' @ ('#sk104' @ '#sk4') @ ('#sk141' @ '#sk4')) 60.46/8.28 | ('#sk4' @ ('#sk29' @ '#sk4') @ ('#sk41' @ '#sk4')))), 60.46/8.28 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl4437])). 60.46/8.28 thf(zip_derived_cl11, plain, (~ ('#sk4' @ '#sk2' @ '#sk3')), 60.46/8.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 60.46/8.28 thf(zip_derived_cl4498, plain, 60.46/8.28 (( ('#sk4' @ ('#sk104' @ '#sk4') @ ('#sk141' @ '#sk4')) 60.46/8.28 | ('#sk4' @ ('#sk29' @ '#sk4') @ ('#sk41' @ '#sk4')))), 60.46/8.28 inference('demod', [status(thm)], [zip_derived_cl4472, zip_derived_cl11])). 60.46/8.28 thf(zip_derived_cl145, plain, 60.46/8.28 (( ((('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk104' @ '#sk4')) & ('#sk4' @ 60.46/8.28 ('#sk104' @ '#sk4') @ ('#sk141' @ '#sk4')))) 60.46/8.28 | ~ ('#sk4' @ ('#sk29' @ '#sk4') @ ('#sk41' @ '#sk4')))), 60.46/8.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl142])). 60.46/8.28 thf(zip_derived_cl150, plain, 60.46/8.28 (( ('#sk4' @ ('#sk104' @ '#sk4') @ ('#sk141' @ '#sk4')) 60.46/8.28 | ~ ('#sk4' @ ('#sk29' @ '#sk4') @ ('#sk41' @ '#sk4')))), 60.46/8.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl145])). 60.46/8.28 thf(zip_derived_cl4504, plain, 60.46/8.28 ( ('#sk4' @ ('#sk104' @ '#sk4') @ ('#sk141' @ '#sk4'))), 60.46/8.28 inference('clc', [status(thm)], [zip_derived_cl4498, zip_derived_cl150])). 60.46/8.28 thf(zip_derived_cl59, plain, 60.46/8.28 (![X2 : a > a > $o]: 60.46/8.28 ( (X2 @ ('#sk77' @ X2) @ ('#sk104' @ X2)) 60.46/8.28 | (X2 @ '#sk2' @ '#sk3') 60.46/8.28 | ('#sk66' @ X2 @ ('#sk29' @ X2) @ ('#sk41' @ X2)))), 60.46/8.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl55])). 60.46/8.28 thf(zip_derived_cl4437, plain, 60.46/8.28 (![X0 : a, X1 : a]: 60.46/8.28 (~ ('#sk66' @ '#sk4' @ X1 @ X0) | ('#sk4' @ X1 @ X0))), 60.46/8.28 inference('simplify', [status(thm)], [zip_derived_cl4436])). 60.46/8.28 thf(zip_derived_cl4473, plain, 60.46/8.28 (( ('#sk4' @ '#sk2' @ '#sk3') 60.46/8.28 | ('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk104' @ '#sk4')) 60.46/8.28 | ('#sk4' @ ('#sk29' @ '#sk4') @ ('#sk41' @ '#sk4')))), 60.46/8.28 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl4437])). 60.46/8.28 thf(zip_derived_cl11, plain, (~ ('#sk4' @ '#sk2' @ '#sk3')), 60.46/8.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 60.46/8.28 thf(zip_derived_cl4499, plain, 60.46/8.28 (( ('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk104' @ '#sk4')) 60.46/8.28 | ('#sk4' @ ('#sk29' @ '#sk4') @ ('#sk41' @ '#sk4')))), 60.46/8.28 inference('demod', [status(thm)], [zip_derived_cl4473, zip_derived_cl11])). 60.46/8.28 thf(zip_derived_cl149, plain, 60.46/8.28 (( ('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk104' @ '#sk4')) 60.46/8.28 | ~ ('#sk4' @ ('#sk29' @ '#sk4') @ ('#sk41' @ '#sk4')))), 60.46/8.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl145])). 60.46/8.28 thf(zip_derived_cl4506, plain, 60.46/8.28 ( ('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk104' @ '#sk4'))), 60.46/8.28 inference('clc', [status(thm)], [zip_derived_cl4499, zip_derived_cl149])). 60.46/8.28 thf(zip_derived_cl36, plain, 60.46/8.28 (![X2 : a, X4 : a, X6 : a]: 60.46/8.28 (~ ('#sk4' @ X2 @ X4) | ~ ('#sk4' @ X4 @ X6) | ('#sk4' @ X2 @ X6))), 60.46/8.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl31])). 60.46/8.28 thf(zip_derived_cl4507, plain, 60.46/8.28 (![X0 : a]: 60.46/8.28 ( ('#sk4' @ ('#sk77' @ '#sk4') @ X0) 60.46/8.28 | ~ ('#sk4' @ ('#sk104' @ '#sk4') @ X0))), 60.46/8.28 inference('sup-', [status(thm)], [zip_derived_cl4506, zip_derived_cl36])). 60.46/8.28 thf(zip_derived_cl4538, plain, 60.46/8.28 ( ('#sk4' @ ('#sk77' @ '#sk4') @ ('#sk141' @ '#sk4'))), 60.46/8.28 inference('sup-', [status(thm)], [zip_derived_cl4504, zip_derived_cl4507])). 60.46/8.28 thf(zip_derived_cl4554, plain, ($false), 60.46/8.28 inference('demod', [status(thm)], 60.46/8.28 [zip_derived_cl4514, zip_derived_cl4538])). 60.46/8.28 60.46/8.28 % SZS output end Refutation 60.46/8.28 60.46/8.28 60.46/8.28 % Terminating... 60.46/8.31 % Runner terminated. 60.46/8.33 % Zipperpin 1.5 exiting 60.46/8.33 EOF