0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yQr5kZz37M true 0.14/0.35 % Computer : n022.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1440 0.14/0.35 % WCLimit : 180 0.14/0.35 % DateTime : Mon Jul 3 06:51:14 EDT 2023 0.14/0.35 % CPUTime : 0.14/0.35 % Running portfolio for 1440 s 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.35 % Number of cores: 8 0.14/0.35 % Python version: Python 3.6.8 0.14/0.35 % Running in HO mode 0.56/0.68 % Total configuration time : 828 0.56/0.68 % Estimated wc time : 1656 0.56/0.68 % Estimated cpu time (8 cpus) : 207.0 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.56/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 13.86/2.39 % Solved by lams/35_full_unif4.sh. 13.86/2.39 % done 178 iterations in 1.608s 13.86/2.39 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 13.86/2.39 % SZS output start Refutation 13.86/2.39 thf(a_type, type, a: $tType). 13.86/2.39 thf('#sk4_type', type, '#sk4': a). 13.86/2.39 thf('#sk43_type', type, '#sk43': (a > a > $o) > a > a > $o). 13.86/2.39 thf('#sk5_type', type, '#sk5': a > a > $o). 13.86/2.39 thf('#sk2_type', type, '#sk2': (a > a > $o) > $o). 13.86/2.39 thf('#sk26_type', type, '#sk26': (a > a > $o) > a). 13.86/2.39 thf('#sk3_type', type, '#sk3': a). 13.86/2.39 thf('#sk18_type', type, '#sk18': (a > a > $o) > a). 13.86/2.39 thf('#sk1_type', type, '#sk1': (a > a > $o) > $o). 13.86/2.39 thf('#sk11832_type', type, '#sk11832': a > a > (a > a > $o) > a > a > $o). 13.86/2.39 thf(cTHM254_A_pme, conjecture, 13.86/2.39 (![PROP:( ( a > a > $o ) > $o ),S:( ( a > a > $o ) > $o ),Xx:a,Xy:a]: 13.86/2.39 ( ( ![Xp:( a > a > $o )]: 13.86/2.39 ( ( ( ![Xx0:a,Xy0:a]: 13.86/2.39 ( ( ?[R:( a > a > $o )]: ( ( S @ R ) & ( R @ Xx0 @ Xy0 ) ) ) => 13.86/2.39 ( Xp @ Xx0 @ Xy0 ) ) ) & 13.86/2.39 ( PROP @ Xp ) ) => 13.86/2.39 ( Xp @ Xx @ Xy ) ) ) => 13.86/2.39 ( ![Xp:( a > a > $o )]: 13.86/2.39 ( ( ( PROP @ Xp ) & 13.86/2.39 ( ![Xx0:a,Xy0:a]: 13.86/2.39 ( ( ?[R:( a > a > $o )]: 13.86/2.39 ( ( R @ Xx0 @ Xy0 ) & 13.86/2.39 ( ?[Q:( a > a > $o )]: 13.86/2.39 ( ( ( R ) = 13.86/2.39 ( ^[Xx1:a,Xy1:a]: 13.86/2.39 ( ![Xp0:( a > a > $o )]: 13.86/2.39 ( ( ( PROP @ Xp0 ) & 13.86/2.39 ( ![Xx2:a,Xy2:a]: 13.86/2.39 ( ( Q @ Xx2 @ Xy2 ) => ( Xp0 @ Xx2 @ Xy2 ) ) ) ) => 13.86/2.39 ( Xp0 @ Xx1 @ Xy1 ) ) ) ) ) & 13.86/2.39 ( S @ Q ) ) ) ) ) => 13.86/2.39 ( Xp @ Xx0 @ Xy0 ) ) ) ) => 13.86/2.39 ( Xp @ Xx @ Xy ) ) ) ))). 13.86/2.39 thf(zf_stmt_0, negated_conjecture, 13.86/2.39 (~( ![PROP:( ( a > a > $o ) > $o ),S:( ( a > a > $o ) > $o ),Xx:a,Xy:a]: 13.86/2.39 ( ( ![Xp:( a > a > $o )]: 13.86/2.39 ( ( ( ![Xx0:a,Xy0:a]: 13.86/2.39 ( ( ?[R:( a > a > $o )]: ( ( S @ R ) & ( R @ Xx0 @ Xy0 ) ) ) => 13.86/2.39 ( Xp @ Xx0 @ Xy0 ) ) ) & 13.86/2.39 ( PROP @ Xp ) ) => 13.86/2.39 ( Xp @ Xx @ Xy ) ) ) => 13.86/2.39 ( ![Xp:( a > a > $o )]: 13.86/2.39 ( ( ( PROP @ Xp ) & 13.86/2.39 ( ![Xx0:a,Xy0:a]: 13.86/2.39 ( ( ?[R:( a > a > $o )]: 13.86/2.39 ( ( R @ Xx0 @ Xy0 ) & 13.86/2.39 ( ?[Q:( a > a > $o )]: 13.86/2.39 ( ( ( R ) = 13.86/2.39 ( ^[Xx1:a,Xy1:a]: 13.86/2.39 ( ![Xp0:( a > a > $o )]: 13.86/2.39 ( ( ( PROP @ Xp0 ) & 13.86/2.39 ( ![Xx2:a,Xy2:a]: 13.86/2.39 ( ( Q @ Xx2 @ Xy2 ) => 13.86/2.39 ( Xp0 @ Xx2 @ Xy2 ) ) ) ) => 13.86/2.39 ( Xp0 @ Xx1 @ Xy1 ) ) ) ) ) & 13.86/2.39 ( S @ Q ) ) ) ) ) => 13.86/2.39 ( Xp @ Xx0 @ Xy0 ) ) ) ) => 13.86/2.39 ( Xp @ Xx @ Xy ) ) ) ) )), 13.86/2.39 inference('cnf.neg', [status(esa)], [cTHM254_A_pme])). 13.86/2.39 thf(zip_derived_cl0, plain, 13.86/2.39 (~ (((!!) @ (^[Y0 : (a > a > $o) > $o]: 13.86/2.39 (((!!) @ (^[Y1 : (a > a > $o) > $o]: 13.86/2.39 (((!!) @ (^[Y2 : a]: 13.86/2.39 (((!!) @ (^[Y3 : a]: 13.86/2.39 (((((!!) @ (^[Y4 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y5 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y6 : a]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 (??) @ ( 13.86/2.39 ^[Y7 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (Y1 @ 13.86/2.39 Y7) & 13.86/2.39 (Y7 @ 13.86/2.39 Y5 @ Y6)))))) => 13.86/2.39 (Y4 @ 13.86/2.39 Y5 @ Y6))))))))) & 13.86/2.39 (Y0 @ Y4))) => 13.86/2.39 (Y4 @ 13.86/2.39 Y2 @ Y3)))))) => 13.86/2.39 (((!!) @ (^[Y4 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 (Y0 @ 13.86/2.39 Y4) & 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y5 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y6 : a]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 (??) @ ( 13.86/2.39 ^[Y7 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (Y7 @ 13.86/2.39 Y5 @ 13.86/2.39 Y6) & 13.86/2.39 (( 13.86/2.39 (??) @ ( 13.86/2.39 ^[Y8 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 (Y7) = 13.86/2.39 (( 13.86/2.39 ^[Y9 : a, 13.86/2.39 Y10 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y11 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 (Y0 @ 13.86/2.39 Y11) & 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y12 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y13 : a]: 13.86/2.39 (( 13.86/2.39 (Y8 @ 13.86/2.39 Y12 @ 13.86/2.39 Y13) => 13.86/2.39 (Y11 @ 13.86/2.39 Y12 @ 13.86/2.39 Y13))))))))))) => 13.86/2.39 (Y11 @ 13.86/2.39 Y9 @ Y10)))))))))) & 13.86/2.39 (Y1 @ Y8))))))))))) => 13.86/2.39 (Y4 @ 13.86/2.39 Y5 @ Y6))))))))))) => 13.86/2.39 (Y4 @ 13.86/2.39 Y2 @ Y3))))))))))))))))))))), 13.86/2.39 inference('cnf', [status(esa)], [zf_stmt_0])). 13.86/2.39 thf(zip_derived_cl1, plain, 13.86/2.39 (~ (((!!) @ (^[Y0 : (a > a > $o) > $o]: 13.86/2.39 (((!!) @ (^[Y1 : a]: 13.86/2.39 (((!!) @ (^[Y2 : a]: 13.86/2.39 (((((!!) @ (^[Y3 : a > a > $o]: 13.86/2.39 (((((((!!) @ ( 13.86/2.39 ^[Y4 : a]: 13.86/2.39 (((!!) @ ( 13.86/2.39 ^[Y5 : a]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 (??) @ ( 13.86/2.39 ^[Y6 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (Y0 @ 13.86/2.39 Y6) & 13.86/2.39 (Y6 @ 13.86/2.39 Y4 @ Y5)))))) => 13.86/2.39 (Y3 @ 13.86/2.39 Y4 @ Y5))))))))) & 13.86/2.39 ('#sk1' @ Y3))) => 13.86/2.39 (Y3 @ Y1 @ Y2)))))) => 13.86/2.39 (((!!) @ (^[Y3 : a > a > $o]: 13.86/2.39 ((((('#sk1' @ Y3) & 13.86/2.39 (((!!) @ ( 13.86/2.39 ^[Y4 : a]: 13.86/2.39 (((!!) @ ( 13.86/2.39 ^[Y5 : a]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 (??) @ ( 13.86/2.39 ^[Y6 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (Y6 @ 13.86/2.39 Y4 @ 13.86/2.39 Y5) & 13.86/2.39 (( 13.86/2.39 (??) @ ( 13.86/2.39 ^[Y7 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 (Y6) = 13.86/2.39 (( 13.86/2.39 ^[Y8 : a, 13.86/2.39 Y9 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y10 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 ('#sk1' @ 13.86/2.39 Y10) & 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y11 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y12 : a]: 13.86/2.39 (( 13.86/2.39 (Y7 @ 13.86/2.39 Y11 @ 13.86/2.39 Y12) => 13.86/2.39 (Y10 @ 13.86/2.39 Y11 @ 13.86/2.39 Y12))))))))))) => 13.86/2.39 (Y10 @ 13.86/2.39 Y8 @ Y9)))))))))) & 13.86/2.39 (Y0 @ Y7))))))))))) => 13.86/2.39 (Y3 @ 13.86/2.39 Y4 @ Y5))))))))))) => 13.86/2.39 (Y3 @ Y1 @ Y2)))))))))))))))))), 13.86/2.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 13.86/2.39 thf(zip_derived_cl2, plain, 13.86/2.39 (~ (((!!) @ (^[Y0 : a]: 13.86/2.39 (((!!) @ (^[Y1 : a]: 13.86/2.39 (((((!!) @ (^[Y2 : a > a > $o]: 13.86/2.39 (((((((!!) @ (^[Y3 : a]: 13.86/2.39 (((!!) @ ( 13.86/2.39 ^[Y4 : a]: 13.86/2.39 (((( 13.86/2.39 (??) @ ( 13.86/2.39 ^[Y5 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 ('#sk2' @ 13.86/2.39 Y5) & 13.86/2.39 (Y5 @ 13.86/2.39 Y3 @ Y4)))))) => 13.86/2.39 (Y2 @ 13.86/2.39 Y3 @ Y4))))))))) & 13.86/2.39 ('#sk1' @ Y2))) => 13.86/2.39 (Y2 @ Y0 @ Y1)))))) => 13.86/2.39 (((!!) @ (^[Y2 : a > a > $o]: 13.86/2.39 ((((('#sk1' @ Y2) & 13.86/2.39 (((!!) @ (^[Y3 : a]: 13.86/2.39 (((!!) @ ( 13.86/2.39 ^[Y4 : a]: 13.86/2.39 (((( 13.86/2.39 (??) @ ( 13.86/2.39 ^[Y5 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (Y5 @ 13.86/2.39 Y3 @ 13.86/2.39 Y4) & 13.86/2.39 (( 13.86/2.39 (??) @ ( 13.86/2.39 ^[Y6 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 (Y5) = 13.86/2.39 (( 13.86/2.39 ^[Y7 : a, 13.86/2.39 Y8 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y9 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 ('#sk1' @ 13.86/2.39 Y9) & 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y10 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y11 : a]: 13.86/2.39 (( 13.86/2.39 (Y6 @ 13.86/2.39 Y10 @ 13.86/2.39 Y11) => 13.86/2.39 (Y9 @ 13.86/2.39 Y10 @ 13.86/2.39 Y11))))))))))) => 13.86/2.39 (Y9 @ 13.86/2.39 Y7 @ Y8)))))))))) & 13.86/2.39 ('#sk2' @ 13.86/2.39 Y6))))))))))) => 13.86/2.39 (Y2 @ 13.86/2.39 Y3 @ Y4))))))))))) => 13.86/2.39 (Y2 @ Y0 @ Y1))))))))))))))), 13.86/2.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 13.86/2.39 thf(zip_derived_cl3, plain, 13.86/2.39 (~ (((!!) @ (^[Y0 : a]: 13.86/2.39 (((((!!) @ (^[Y1 : a > a > $o]: 13.86/2.39 (((((((!!) @ (^[Y2 : a]: 13.86/2.39 (((!!) @ (^[Y3 : a]: 13.86/2.39 (((((??) @ ( 13.86/2.39 ^[Y4 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 ('#sk2' @ 13.86/2.39 Y4) & 13.86/2.39 (Y4 @ 13.86/2.39 Y2 @ Y3)))))) => 13.86/2.39 (Y1 @ Y2 @ Y3))))))))) & 13.86/2.39 ('#sk1' @ Y1))) => 13.86/2.39 (Y1 @ '#sk3' @ Y0)))))) => 13.86/2.39 (((!!) @ (^[Y1 : a > a > $o]: 13.86/2.39 ((((('#sk1' @ Y1) & 13.86/2.39 (((!!) @ (^[Y2 : a]: 13.86/2.39 (((!!) @ (^[Y3 : a]: 13.86/2.39 (((((??) @ ( 13.86/2.39 ^[Y4 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (Y4 @ 13.86/2.39 Y2 @ 13.86/2.39 Y3) & 13.86/2.39 (( 13.86/2.39 (??) @ ( 13.86/2.39 ^[Y5 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 (Y4) = 13.86/2.39 (( 13.86/2.39 ^[Y6 : a, 13.86/2.39 Y7 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y8 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 ('#sk1' @ 13.86/2.39 Y8) & 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y9 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y10 : a]: 13.86/2.39 (( 13.86/2.39 (Y5 @ 13.86/2.39 Y9 @ 13.86/2.39 Y10) => 13.86/2.39 (Y8 @ 13.86/2.39 Y9 @ Y10))))))))))) => 13.86/2.39 (Y8 @ 13.86/2.39 Y6 @ Y7)))))))))) & 13.86/2.39 ('#sk2' @ 13.86/2.39 Y5))))))))))) => 13.86/2.39 (Y1 @ Y2 @ Y3))))))))))) => 13.86/2.39 (Y1 @ '#sk3' @ Y0)))))))))))), 13.86/2.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 13.86/2.39 thf(zip_derived_cl4, plain, 13.86/2.39 (~ (((((!!) @ (^[Y0 : a > a > $o]: 13.86/2.39 (((((((!!) @ (^[Y1 : a]: 13.86/2.39 (((!!) @ (^[Y2 : a]: 13.86/2.39 (((((??) @ (^[Y3 : a > a > $o]: 13.86/2.39 ((('#sk2' @ 13.86/2.39 Y3) & (Y3 @ 13.86/2.39 Y1 @ Y2)))))) => 13.86/2.39 (Y0 @ Y1 @ Y2))))))))) & 13.86/2.39 ('#sk1' @ Y0))) => 13.86/2.39 (Y0 @ '#sk3' @ '#sk4')))))) => 13.86/2.39 (((!!) @ (^[Y0 : a > a > $o]: 13.86/2.39 ((((('#sk1' @ Y0) & 13.86/2.39 (((!!) @ (^[Y1 : a]: 13.86/2.39 (((!!) @ (^[Y2 : a]: 13.86/2.39 (((((??) @ (^[Y3 : a > a > $o]: 13.86/2.39 (((Y3 @ Y1 @ 13.86/2.39 Y2) & 13.86/2.39 (((??) @ ( 13.86/2.39 ^[Y4 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 (Y3) = 13.86/2.39 (( 13.86/2.39 ^[Y5 : a, 13.86/2.39 Y6 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y7 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 ('#sk1' @ 13.86/2.39 Y7) & 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y8 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y9 : a]: 13.86/2.39 (( 13.86/2.39 (Y4 @ 13.86/2.39 Y8 @ 13.86/2.39 Y9) => 13.86/2.39 (Y7 @ 13.86/2.39 Y8 @ Y9))))))))))) => 13.86/2.39 (Y7 @ 13.86/2.39 Y5 @ Y6)))))))))) & 13.86/2.39 ('#sk2' @ 13.86/2.39 Y4))))))))))) => 13.86/2.39 (Y0 @ Y1 @ Y2))))))))))) => 13.86/2.39 (Y0 @ '#sk3' @ '#sk4'))))))))), 13.86/2.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 13.86/2.39 thf(zip_derived_cl5, plain, 13.86/2.39 ( (((!!) @ (^[Y0 : a > a > $o]: 13.86/2.39 (((((((!!) @ (^[Y1 : a]: 13.86/2.39 (((!!) @ (^[Y2 : a]: 13.86/2.39 (((((??) @ (^[Y3 : a > a > $o]: 13.86/2.39 ((('#sk2' @ Y3) & 13.86/2.39 (Y3 @ Y1 @ Y2)))))) => 13.86/2.39 (Y0 @ Y1 @ Y2))))))))) & 13.86/2.39 ('#sk1' @ Y0))) => 13.86/2.39 (Y0 @ '#sk3' @ '#sk4'))))))), 13.86/2.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 13.86/2.39 thf(zip_derived_cl7, plain, 13.86/2.39 (![X2 : a > a > $o]: 13.86/2.39 (((((((!!) @ (^[Y0 : a]: 13.86/2.39 (((!!) @ (^[Y1 : a]: 13.86/2.39 (((((??) @ (^[Y2 : a > a > $o]: 13.86/2.39 ((('#sk2' @ Y2) & (Y2 @ 13.86/2.39 Y0 @ Y1)))))) => 13.86/2.39 (X2 @ Y0 @ Y1))))))))) & 13.86/2.39 ('#sk1' @ X2))) => 13.86/2.39 (X2 @ '#sk3' @ '#sk4')))), 13.86/2.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 13.86/2.39 thf(zip_derived_cl8, plain, 13.86/2.39 ( (((((((!!) @ (^[Y0 : a]: 13.86/2.39 (((!!) @ (^[Y1 : a]: 13.86/2.39 (((((??) @ (^[Y2 : a > a > $o]: 13.86/2.39 ((('#sk2' @ Y2) & (Y2 @ Y0 @ 13.86/2.39 Y1)))))) => 13.86/2.39 ('#sk5' @ Y0 @ Y1))))))))) & 13.86/2.39 ('#sk1' @ '#sk5'))) => 13.86/2.39 ('#sk5' @ '#sk3' @ '#sk4')))), 13.86/2.39 inference('triggered_bool_instantiation', [status(thm)], 13.86/2.39 [zip_derived_cl7])). 13.86/2.39 thf(zip_derived_cl6, plain, 13.86/2.39 (~ (((!!) @ (^[Y0 : a > a > $o]: 13.86/2.39 ((((('#sk1' @ Y0) & 13.86/2.39 (((!!) @ (^[Y1 : a]: 13.86/2.39 (((!!) @ (^[Y2 : a]: 13.86/2.39 (((((??) @ (^[Y3 : a > a > $o]: 13.86/2.39 (((Y3 @ Y1 @ 13.86/2.39 Y2) & 13.86/2.39 (((??) @ ( 13.86/2.39 ^[Y4 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 (Y3) = 13.86/2.39 (( 13.86/2.39 ^[Y5 : a, 13.86/2.39 Y6 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y7 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 ('#sk1' @ 13.86/2.39 Y7) & 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y8 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y9 : a]: 13.86/2.39 (( 13.86/2.39 (Y4 @ 13.86/2.39 Y8 @ 13.86/2.39 Y9) => 13.86/2.39 (Y7 @ 13.86/2.39 Y8 @ Y9))))))))))) => 13.86/2.39 (Y7 @ 13.86/2.39 Y5 @ Y6)))))))))) & 13.86/2.39 ('#sk2' @ 13.86/2.39 Y4))))))))))) => 13.86/2.39 (Y0 @ Y1 @ Y2))))))))))) => 13.86/2.39 (Y0 @ '#sk3' @ '#sk4'))))))), 13.86/2.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 13.86/2.39 thf(zip_derived_cl9, plain, 13.86/2.39 (~ ((((('#sk1' @ '#sk5') & 13.86/2.39 (((!!) @ (^[Y0 : a]: 13.86/2.39 (((!!) @ (^[Y1 : a]: 13.86/2.39 (((((??) @ (^[Y2 : a > a > $o]: 13.86/2.39 (((Y2 @ Y0 @ Y1) & 13.86/2.39 (((??) @ (^[Y3 : a > a > $o]: 13.86/2.39 (((((Y2) = 13.86/2.39 (( 13.86/2.39 ^[Y4 : a, 13.86/2.39 Y5 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y6 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 ('#sk1' @ 13.86/2.39 Y6) & 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y7 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y8 : a]: 13.86/2.39 (( 13.86/2.39 (Y3 @ 13.86/2.39 Y7 @ 13.86/2.39 Y8) => 13.86/2.39 (Y6 @ 13.86/2.39 Y7 @ Y8))))))))))) => 13.86/2.39 (Y6 @ 13.86/2.39 Y4 @ Y5)))))))))) & 13.86/2.39 ('#sk2' @ 13.86/2.39 Y3))))))))))) => 13.86/2.39 ('#sk5' @ Y0 @ Y1))))))))))) => 13.86/2.39 ('#sk5' @ '#sk3' @ '#sk4')))), 13.86/2.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 13.86/2.39 thf(zip_derived_cl11, plain, 13.86/2.39 ( ((('#sk1' @ '#sk5') & 13.86/2.39 (((!!) @ (^[Y0 : a]: 13.86/2.39 (((!!) @ (^[Y1 : a]: 13.86/2.39 (((((??) @ (^[Y2 : a > a > $o]: 13.86/2.39 (((Y2 @ Y0 @ Y1) & 13.86/2.39 (((??) @ (^[Y3 : a > a > $o]: 13.86/2.39 (((((Y2) = 13.86/2.39 ((^[Y4 : a, 13.86/2.39 Y5 : a]: 13.86/2.39 ( 13.86/2.39 ( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y6 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 ('#sk1' @ 13.86/2.39 Y6) & 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y7 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y8 : a]: 13.86/2.39 (( 13.86/2.39 (Y3 @ 13.86/2.39 Y7 @ 13.86/2.39 Y8) => 13.86/2.39 (Y6 @ 13.86/2.39 Y7 @ Y8))))))))))) => 13.86/2.39 (Y6 @ 13.86/2.39 Y4 @ Y5)))))))))) & 13.86/2.39 ('#sk2' @ Y3))))))))))) => 13.86/2.39 ('#sk5' @ Y0 @ Y1)))))))))))), 13.86/2.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])). 13.86/2.39 thf(zip_derived_cl14, plain, ( ('#sk1' @ '#sk5')), 13.86/2.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])). 13.86/2.39 thf(zip_derived_cl12, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')), 13.86/2.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])). 13.86/2.39 thf(zip_derived_cl48, plain, 13.86/2.39 ( (((((((!!) @ (^[Y0 : a]: 13.86/2.39 (((!!) @ (^[Y1 : a]: 13.86/2.39 (((((??) @ (^[Y2 : a > a > $o]: 13.86/2.39 ((('#sk2' @ Y2) & (Y2 @ Y0 @ 13.86/2.39 Y1)))))) => 13.86/2.39 ('#sk5' @ Y0 @ Y1))))))))) & 13.86/2.39 ($true))) => 13.86/2.39 ($false)))), 13.86/2.39 inference('demod', [status(thm)], 13.86/2.39 [zip_derived_cl8, zip_derived_cl14, zip_derived_cl12])). 13.86/2.39 thf(zip_derived_cl49, plain, 13.86/2.39 ( (((~) @ (((!!) @ (^[Y0 : a]: 13.86/2.39 (((!!) @ (^[Y1 : a]: 13.86/2.39 (((((??) @ (^[Y2 : a > a > $o]: 13.86/2.39 ((('#sk2' @ Y2) & (Y2 @ 13.86/2.39 Y0 @ Y1)))))) => 13.86/2.39 ('#sk5' @ Y0 @ Y1)))))))))))), 13.86/2.39 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl48])). 13.86/2.39 thf(zip_derived_cl50, plain, 13.86/2.39 (~ (((!!) @ (^[Y0 : a]: 13.86/2.39 (((!!) @ (^[Y1 : a]: 13.86/2.39 (((((??) @ (^[Y2 : a > a > $o]: 13.86/2.39 ((('#sk2' @ Y2) & (Y2 @ Y0 @ Y1)))))) => 13.86/2.39 ('#sk5' @ Y0 @ Y1)))))))))), 13.86/2.39 inference('simplify nested equalities', [status(thm)], [zip_derived_cl49])). 13.86/2.39 thf(zip_derived_cl51, plain, 13.86/2.39 (~ (((!!) @ (^[Y0 : a]: 13.86/2.39 (((((??) @ (^[Y1 : a > a > $o]: 13.86/2.39 ((('#sk2' @ Y1) & (Y1 @ 13.86/2.39 ('#sk18' @ '#sk5') @ Y0)))))) => 13.86/2.39 ('#sk5' @ ('#sk18' @ '#sk5') @ Y0))))))), 13.86/2.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl50])). 13.86/2.39 thf(zip_derived_cl52, plain, 13.86/2.39 (~ (((((??) @ (^[Y0 : a > a > $o]: 13.86/2.39 ((('#sk2' @ Y0) & (Y0 @ ('#sk18' @ '#sk5') @ 13.86/2.39 ('#sk26' @ '#sk5'))))))) => 13.86/2.39 ('#sk5' @ ('#sk18' @ '#sk5') @ ('#sk26' @ '#sk5'))))), 13.86/2.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl51])). 13.86/2.39 thf(zip_derived_cl54, plain, 13.86/2.39 (~ ('#sk5' @ ('#sk18' @ '#sk5') @ ('#sk26' @ '#sk5'))), 13.86/2.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl52])). 13.86/2.39 thf(zip_derived_cl15, plain, 13.86/2.39 ( (((!!) @ (^[Y0 : a]: 13.86/2.39 (((!!) @ (^[Y1 : a]: 13.86/2.39 (((((??) @ (^[Y2 : a > a > $o]: 13.86/2.39 (((Y2 @ Y0 @ Y1) & 13.86/2.39 (((??) @ (^[Y3 : a > a > $o]: 13.86/2.39 (((((Y2) = 13.86/2.39 ((^[Y4 : a, 13.86/2.39 Y5 : a]: 13.86/2.39 (((!!) @ ( 13.86/2.39 ^[Y6 : 13.86/2.39 a > a > $o]: 13.86/2.39 (( 13.86/2.39 (( 13.86/2.39 ('#sk1' @ 13.86/2.39 Y6) & 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y7 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y8 : a]: 13.86/2.39 (( 13.86/2.39 (Y3 @ 13.86/2.39 Y7 @ 13.86/2.39 Y8) => 13.86/2.39 (Y6 @ 13.86/2.39 Y7 @ Y8))))))))))) => 13.86/2.39 (Y6 @ 13.86/2.39 Y4 @ Y5)))))))))) & 13.86/2.39 ('#sk2' @ Y3))))))))))) => 13.86/2.39 ('#sk5' @ Y0 @ Y1)))))))))), 13.86/2.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])). 13.86/2.39 thf(zip_derived_cl17, plain, 13.86/2.39 (![X2 : a]: 13.86/2.39 (((!!) @ (^[Y0 : a]: 13.86/2.39 (((((??) @ (^[Y1 : a > a > $o]: 13.86/2.39 (((Y1 @ X2 @ Y0) & 13.86/2.39 (((??) @ (^[Y2 : a > a > $o]: 13.86/2.39 (((((Y1) = 13.86/2.39 ((^[Y3 : a,Y4 : a]: 13.86/2.39 (((!!) @ (^[Y5 : 13.86/2.39 a > a > $o]: 13.86/2.39 ( 13.86/2.39 ( 13.86/2.39 (( 13.86/2.39 ('#sk1' @ 13.86/2.39 Y5) & 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y6 : a]: 13.86/2.39 (( 13.86/2.39 (!!) @ ( 13.86/2.39 ^[Y7 : a]: 13.86/2.39 (( 13.86/2.39 (Y2 @ 13.86/2.39 Y6 @ 13.86/2.39 Y7) => 13.86/2.39 (Y5 @ 13.86/2.39 Y6 @ Y7))))))))))) => 13.86/2.39 (Y5 @ 13.86/2.39 Y3 @ Y4)))))))))) & 13.86/2.39 ('#sk2' @ Y2))))))))))) => 13.86/2.39 ('#sk5' @ X2 @ Y0))))))), 13.86/2.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])). 13.86/2.39 thf(zip_derived_cl19, plain, 13.86/2.39 (![X2 : a, X4 : a]: 13.86/2.39 (((((??) @ (^[Y0 : a > a > $o]: 13.86/2.39 (((Y0 @ X2 @ X4) & 13.86/2.39 (((??) @ (^[Y1 : a > a > $o]: 13.86/2.39 (((((Y0) = 13.86/2.39 ((^[Y2 : a,Y3 : a]: 13.86/2.39 (((!!) @ (^[Y4 : a > a > $o]: 13.86/2.39 ((((('#sk1' @ Y4) & 13.86/2.39 (((!!) @ ( 13.86/2.39 ^[Y5 : a]: 13.86/2.39 (((!!) @ ( 13.86/2.39 ^[Y6 : a]: 13.86/2.39 ( 13.86/2.39 ( 13.86/2.39 (Y1 @ 13.86/2.39 Y5 @ 13.86/2.39 Y6) => 13.86/2.39 (Y4 @ 13.86/2.39 Y5 @ Y6))))))))))) => 13.86/2.39 (Y4 @ Y2 @ Y3)))))))))) & 13.86/2.39 ('#sk2' @ Y1))))))))))) => 13.86/2.39 ('#sk5' @ X2 @ X4)))), 13.86/2.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 13.86/2.39 thf(zip_derived_cl22, plain, 13.86/2.39 (![X2 : a, X4 : a]: 13.86/2.39 (~ (((??) @ (^[Y0 : a > a > $o]: 13.86/2.39 (((Y0 @ X2 @ X4) & 13.86/2.39 (((??) @ (^[Y1 : a > a > $o]: 13.86/2.39 (((((Y0) = 13.86/2.39 ((^[Y2 : a,Y3 : a]: 13.86/2.39 (((!!) @ (^[Y4 : a > a > $o]: 13.86/2.39 ((((('#sk1' @ Y4) & 13.86/2.39 (((!!) @ ( 13.86/2.39 ^[Y5 : a]: 13.86/2.40 (((!!) @ ( 13.86/2.40 ^[Y6 : a]: 13.86/2.40 ( 13.86/2.40 ( 13.86/2.40 (Y1 @ 13.86/2.40 Y5 @ 13.86/2.40 Y6) => 13.86/2.40 (Y4 @ 13.86/2.40 Y5 @ Y6))))))))))) => 13.86/2.40 (Y4 @ Y2 @ Y3)))))))))) & 13.86/2.40 ('#sk2' @ Y1))))))))))) 13.86/2.40 | ('#sk5' @ X2 @ X4))), 13.86/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])). 13.86/2.40 thf(zip_derived_cl25, plain, 13.86/2.40 (![X2 : a, X4 : a, X6 : a > a > $o]: 13.86/2.40 (~ (((X6 @ X2 @ X4) & 13.86/2.40 (((??) @ (^[Y0 : a > a > $o]: 13.86/2.40 (((((X6) = 13.86/2.40 ((^[Y1 : a,Y2 : a]: 13.86/2.40 (((!!) @ (^[Y3 : a > a > $o]: 13.86/2.40 ((((('#sk1' @ Y3) & 13.86/2.40 (((!!) @ (^[Y4 : a]: 13.86/2.40 (((!!) @ ( 13.86/2.40 ^[Y5 : a]: 13.86/2.40 (((Y0 @ Y4 @ 13.86/2.40 Y5) => 13.86/2.40 (Y3 @ Y4 @ 13.86/2.40 Y5))))))))))) => 13.86/2.40 (Y3 @ Y1 @ Y2)))))))))) & 13.86/2.40 ('#sk2' @ Y0)))))))) 13.86/2.40 | ('#sk5' @ X2 @ X4))), 13.86/2.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])). 13.86/2.40 thf(zip_derived_cl30, plain, 13.86/2.40 (![X2 : a, X4 : a, X6 : a > a > $o]: 13.86/2.40 (~ (X6 @ X2 @ X4) 13.86/2.40 | ~ (((??) @ (^[Y0 : a > a > $o]: 13.86/2.40 (((((X6) = 13.86/2.40 ((^[Y1 : a,Y2 : a]: 13.86/2.40 (((!!) @ (^[Y3 : a > a > $o]: 13.86/2.40 ((((('#sk1' @ Y3) & 13.86/2.40 (((!!) @ (^[Y4 : a]: 13.86/2.40 (((!!) @ ( 13.86/2.40 ^[Y5 : a]: 13.86/2.40 (((Y0 @ Y4 @ 13.86/2.40 Y5) => 13.86/2.40 (Y3 @ Y4 @ 13.86/2.40 Y5))))))))))) => 13.86/2.40 (Y3 @ Y1 @ Y2)))))))))) & 13.86/2.40 ('#sk2' @ Y0)))))) 13.86/2.40 | ('#sk5' @ X2 @ X4))), 13.86/2.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl25])). 13.86/2.40 thf(zip_derived_cl31, plain, 13.86/2.40 (![X2 : a, X4 : a, X6 : a > a > $o, X8 : a > a > $o]: 13.86/2.40 (~ (((((X6) = 13.86/2.40 ((^[Y0 : a,Y1 : a]: 13.86/2.40 (((!!) @ (^[Y2 : a > a > $o]: 13.86/2.40 ((((('#sk1' @ Y2) & 13.86/2.40 (((!!) @ (^[Y3 : a]: 13.86/2.40 (((!!) @ (^[Y4 : a]: 13.86/2.40 (((X8 @ Y3 @ Y4) => 13.86/2.40 (Y2 @ Y3 @ Y4))))))))))) => 13.86/2.40 (Y2 @ Y0 @ Y1)))))))))) & 13.86/2.40 ('#sk2' @ X8))) 13.86/2.40 | ('#sk5' @ X2 @ X4) 13.86/2.40 | ~ (X6 @ X2 @ X4))), 13.86/2.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl30])). 13.86/2.40 thf(zip_derived_cl34, plain, 13.86/2.40 (![X2 : a, X4 : a, X6 : a > a > $o, X8 : a > a > $o]: 13.86/2.40 (~ (((X6) = 13.86/2.40 ((^[Y0 : a,Y1 : a]: 13.86/2.40 (((!!) @ (^[Y2 : a > a > $o]: 13.86/2.40 ((((('#sk1' @ Y2) & 13.86/2.40 (((!!) @ (^[Y3 : a]: 13.86/2.40 (((!!) @ (^[Y4 : a]: 13.86/2.40 (((X8 @ Y3 @ Y4) => 13.86/2.40 (Y2 @ Y3 @ Y4))))))))))) => 13.86/2.40 (Y2 @ Y0 @ Y1)))))))))) 13.86/2.40 | ~ ('#sk2' @ X8) 13.86/2.40 | ~ (X6 @ X2 @ X4) 13.86/2.40 | ('#sk5' @ X2 @ X4))), 13.86/2.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl31])). 13.86/2.40 thf(zip_derived_cl35, plain, 13.86/2.40 (![X2 : a, X4 : a, X6 : a > a > $o, X8 : a > a > $o]: 13.86/2.40 (((X6) 13.86/2.40 != ((^[Y0 : a,Y1 : a]: 13.86/2.40 (((!!) @ (^[Y2 : a > a > $o]: 13.86/2.40 ((((('#sk1' @ Y2) & 13.86/2.40 (((!!) @ (^[Y3 : a]: 13.86/2.40 (((!!) @ (^[Y4 : a]: 13.86/2.40 (((X8 @ Y3 @ Y4) => 13.86/2.40 (Y2 @ Y3 @ Y4))))))))))) => 13.86/2.40 (Y2 @ Y0 @ Y1))))))))) 13.86/2.40 | ~ ('#sk2' @ X8) 13.86/2.40 | ~ (X6 @ X2 @ X4) 13.86/2.40 | ('#sk5' @ X2 @ X4))), 13.86/2.40 inference('simplify nested equalities', [status(thm)], [zip_derived_cl34])). 13.86/2.40 thf(zip_derived_cl288, plain, 13.86/2.40 (![X0 : a, X1 : a, X2 : a > a > $o]: 13.86/2.40 ( ('#sk5' @ X1 @ X0) 13.86/2.40 | ~ ((^[Y0 : a,Y1 : a]: 13.86/2.40 (((!!) @ (^[Y2 : a > a > $o]: 13.86/2.40 ((((('#sk1' @ Y2) & 13.86/2.40 (((!!) @ (^[Y3 : a]: 13.86/2.40 (((!!) @ (^[Y4 : a]: 13.86/2.40 (((X2 @ Y3 @ Y4) => 13.86/2.40 (Y2 @ Y3 @ Y4))))))))))) => 13.86/2.40 (Y2 @ Y0 @ Y1))))))) @ 13.86/2.40 X1 @ X0) 13.86/2.40 | ~ ('#sk2' @ X2))), 13.86/2.40 inference('eq_res', [status(thm)], [zip_derived_cl35])). 13.86/2.40 thf(zip_derived_cl289, plain, 13.86/2.40 (![X0 : a, X1 : a, X2 : a > a > $o]: 13.86/2.40 ( ('#sk5' @ X1 @ X0) 13.86/2.40 | ~ (((!!) @ (^[Y0 : a > a > $o]: 13.86/2.40 ((((('#sk1' @ Y0) & 13.86/2.40 (((!!) @ (^[Y1 : a]: 13.86/2.40 (((!!) @ (^[Y2 : a]: 13.86/2.40 (((X2 @ Y1 @ Y2) => 13.86/2.40 (Y0 @ Y1 @ Y2))))))))))) => 13.86/2.40 (Y0 @ X1 @ X0)))))) 13.86/2.40 | ~ ('#sk2' @ X2))), 13.86/2.40 inference('ho_norm', [status(thm)], [zip_derived_cl288])). 13.86/2.40 thf(zip_derived_cl867, plain, 13.86/2.40 (![X0 : a, X1 : a, X2 : a > a > $o]: 13.86/2.40 (~ ((((('#sk1' @ ('#sk11832' @ X0 @ X1 @ X2)) & 13.86/2.40 (((!!) @ (^[Y0 : a]: 13.86/2.40 (((!!) @ (^[Y1 : a]: 13.86/2.40 (((X2 @ Y0 @ Y1) => ('#sk11832' @ X0 @ 13.86/2.40 X1 @ X2 @ Y0 @ Y1))))))))))) => 13.86/2.40 ('#sk11832' @ X0 @ X1 @ X2 @ X1 @ X0))) 13.86/2.40 | ~ ('#sk2' @ X2) 13.86/2.40 | ('#sk5' @ X1 @ X0))), 13.86/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl289])). 13.86/2.40 thf(zip_derived_cl869, plain, 13.86/2.40 (![X0 : a, X1 : a, X2 : a > a > $o]: 13.86/2.40 (~ ('#sk11832' @ X0 @ X1 @ X2 @ X1 @ X0) 13.86/2.40 | ('#sk5' @ X1 @ X0) 13.86/2.40 | ~ ('#sk2' @ X2))), 13.86/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl867])). 13.86/2.40 thf(zip_derived_cl14, plain, ( ('#sk1' @ '#sk5')), 13.86/2.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])). 13.86/2.40 thf(zip_derived_cl7, plain, 13.86/2.40 (![X2 : a > a > $o]: 13.86/2.40 (((((((!!) @ (^[Y0 : a]: 13.86/2.40 (((!!) @ (^[Y1 : a]: 13.86/2.40 (((((??) @ (^[Y2 : a > a > $o]: 13.86/2.40 ((('#sk2' @ Y2) & (Y2 @ 13.86/2.40 Y0 @ Y1)))))) => 13.86/2.40 (X2 @ Y0 @ Y1))))))))) & 13.86/2.40 ('#sk1' @ X2))) => 13.86/2.40 (X2 @ '#sk3' @ '#sk4')))), 13.86/2.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 13.86/2.40 thf(zip_derived_cl10, plain, 13.86/2.40 (![X2 : a > a > $o]: 13.86/2.40 (~ (((((!!) @ (^[Y0 : a]: 13.86/2.40 (((!!) @ (^[Y1 : a]: 13.86/2.40 (((((??) @ (^[Y2 : a > a > $o]: 13.86/2.40 ((('#sk2' @ Y2) & (Y2 @ 13.86/2.40 Y0 @ Y1)))))) => 13.86/2.40 (X2 @ Y0 @ Y1))))))))) & 13.86/2.40 ('#sk1' @ X2))) 13.86/2.40 | (X2 @ '#sk3' @ '#sk4'))), 13.86/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])). 13.86/2.40 thf(zip_derived_cl13, plain, 13.86/2.40 (![X2 : a > a > $o]: 13.86/2.40 (~ (((!!) @ (^[Y0 : a]: 13.86/2.40 (((!!) @ (^[Y1 : a]: 13.86/2.40 (((((??) @ (^[Y2 : a > a > $o]: 13.86/2.40 ((('#sk2' @ Y2) & (Y2 @ Y0 @ 13.86/2.40 Y1)))))) => 13.86/2.40 (X2 @ Y0 @ Y1))))))))) 13.86/2.40 | ~ ('#sk1' @ X2) 13.86/2.40 | (X2 @ '#sk3' @ '#sk4'))), 13.86/2.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 13.86/2.40 thf(zip_derived_cl16, plain, 13.86/2.40 (![X2 : a > a > $o]: 13.86/2.40 (~ (((!!) @ (^[Y0 : a]: 13.86/2.40 (((((??) @ (^[Y1 : a > a > $o]: 13.86/2.40 ((('#sk2' @ Y1) & (Y1 @ ('#sk18' @ X2) @ 13.86/2.40 Y0)))))) => 13.86/2.40 (X2 @ ('#sk18' @ X2) @ Y0)))))) 13.86/2.40 | (X2 @ '#sk3' @ '#sk4') 13.86/2.40 | ~ ('#sk1' @ X2))), 13.86/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl13])). 13.86/2.40 thf(zip_derived_cl18, plain, 13.86/2.40 (![X2 : a > a > $o]: 13.86/2.40 (~ (((((??) @ (^[Y0 : a > a > $o]: 13.86/2.40 ((('#sk2' @ Y0) & (Y0 @ ('#sk18' @ X2) @ 13.86/2.40 ('#sk26' @ X2))))))) => 13.86/2.40 (X2 @ ('#sk18' @ X2) @ ('#sk26' @ X2)))) 13.86/2.40 | ~ ('#sk1' @ X2) 13.86/2.40 | (X2 @ '#sk3' @ '#sk4'))), 13.86/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl16])). 13.86/2.40 thf(zip_derived_cl20, plain, 13.86/2.40 (![X2 : a > a > $o]: 13.86/2.40 ( (((??) @ (^[Y0 : a > a > $o]: 13.86/2.40 ((('#sk2' @ Y0) & (Y0 @ ('#sk18' @ X2) @ ('#sk26' @ X2))))))) 13.86/2.40 | (X2 @ '#sk3' @ '#sk4') 13.86/2.40 | ~ ('#sk1' @ X2))), 13.86/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 13.86/2.40 thf(zip_derived_cl24, plain, 13.86/2.40 (![X2 : a > a > $o]: 13.86/2.40 ( ((('#sk2' @ ('#sk43' @ X2)) & ('#sk43' @ X2 @ ('#sk18' @ X2) @ 13.86/2.40 ('#sk26' @ X2)))) 13.86/2.40 | ~ ('#sk1' @ X2) 13.86/2.40 | (X2 @ '#sk3' @ '#sk4'))), 13.86/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl20])). 13.86/2.40 thf(zip_derived_cl28, plain, 13.86/2.40 (![X2 : a > a > $o]: 13.86/2.40 ( ('#sk2' @ ('#sk43' @ X2)) 13.86/2.40 | (X2 @ '#sk3' @ '#sk4') 13.86/2.40 | ~ ('#sk1' @ X2))), 13.86/2.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl24])). 13.86/2.40 thf(zip_derived_cl36, plain, 13.86/2.40 (( ('#sk5' @ '#sk3' @ '#sk4') | ('#sk2' @ ('#sk43' @ '#sk5')))), 13.86/2.40 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl28])). 13.86/2.40 thf(zip_derived_cl12, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')), 13.86/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])). 13.86/2.40 thf(zip_derived_cl45, plain, ( ('#sk2' @ ('#sk43' @ '#sk5'))), 13.86/2.40 inference('clc', [status(thm)], [zip_derived_cl36, zip_derived_cl12])). 13.86/2.40 thf(zip_derived_cl868, plain, 13.86/2.40 (![X0 : a, X1 : a, X2 : a > a > $o]: 13.86/2.40 ( ((('#sk1' @ ('#sk11832' @ X0 @ X1 @ X2)) & 13.86/2.40 (((!!) @ (^[Y0 : a]: 13.86/2.40 (((!!) @ (^[Y1 : a]: 13.86/2.40 (((X2 @ Y0 @ Y1) => ('#sk11832' @ X0 @ 13.86/2.40 X1 @ X2 @ Y0 @ Y1))))))))))) 13.86/2.40 | ('#sk5' @ X1 @ X0) 13.86/2.40 | ~ ('#sk2' @ X2))), 13.86/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl867])). 13.86/2.40 thf(zip_derived_cl871, plain, 13.86/2.40 (![X0 : a, X1 : a, X2 : a > a > $o]: 13.86/2.40 ( (((!!) @ (^[Y0 : a]: 13.86/2.40 (((!!) @ (^[Y1 : a]: 13.86/2.40 (((X2 @ Y0 @ Y1) => ('#sk11832' @ X0 @ X1 @ 13.86/2.40 X2 @ Y0 @ Y1))))))))) 13.86/2.40 | ~ ('#sk2' @ X2) 13.86/2.40 | ('#sk5' @ X1 @ X0))), 13.86/2.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl868])). 13.86/2.40 thf(zip_derived_cl872, plain, 13.86/2.40 (![X0 : a, X1 : a, X2 : a > a > $o, X4 : a]: 13.86/2.40 ( (((!!) @ (^[Y0 : a]: 13.86/2.40 (((X2 @ X4 @ Y0) => ('#sk11832' @ X0 @ X1 @ X2 @ X4 @ 13.86/2.40 Y0)))))) 13.86/2.40 | ('#sk5' @ X1 @ X0) 13.86/2.40 | ~ ('#sk2' @ X2))), 13.86/2.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl871])). 13.86/2.40 thf(zip_derived_cl873, plain, 13.86/2.40 (![X0 : a, X1 : a, X2 : a > a > $o, X4 : a, X6 : a]: 13.86/2.40 ( (((X2 @ X4 @ X6) => ('#sk11832' @ X0 @ X1 @ X2 @ X4 @ X6))) 13.86/2.40 | ~ ('#sk2' @ X2) 13.86/2.40 | ('#sk5' @ X1 @ X0))), 13.86/2.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl872])). 13.86/2.40 thf(zip_derived_cl874, plain, 13.86/2.40 (![X0 : a, X1 : a, X2 : a > a > $o, X4 : a, X6 : a]: 13.86/2.40 (~ (X2 @ X4 @ X6) 13.86/2.40 | ('#sk11832' @ X0 @ X1 @ X2 @ X4 @ X6) 13.86/2.40 | ('#sk5' @ X1 @ X0) 13.86/2.40 | ~ ('#sk2' @ X2))), 13.86/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl873])). 13.86/2.40 thf(zip_derived_cl922, plain, 13.86/2.40 (![X0 : a, X1 : a, X2 : a, X3 : a]: 13.86/2.40 ( ('#sk5' @ X1 @ X0) 13.86/2.40 | ('#sk11832' @ X0 @ X1 @ ('#sk43' @ '#sk5') @ X3 @ X2) 13.86/2.40 | ~ ('#sk43' @ '#sk5' @ X3 @ X2))), 13.86/2.40 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl874])). 13.86/2.40 thf(zip_derived_cl937, plain, 13.86/2.40 (![X0 : a, X1 : a]: 13.86/2.40 (~ ('#sk2' @ ('#sk43' @ '#sk5')) 13.86/2.40 | ('#sk5' @ X1 @ X0) 13.86/2.40 | ~ ('#sk43' @ '#sk5' @ X1 @ X0) 13.86/2.40 | ('#sk5' @ X1 @ X0))), 13.86/2.40 inference('sup+', [status(thm)], [zip_derived_cl869, zip_derived_cl922])). 13.86/2.40 thf(zip_derived_cl45, plain, ( ('#sk2' @ ('#sk43' @ '#sk5'))), 13.86/2.40 inference('clc', [status(thm)], [zip_derived_cl36, zip_derived_cl12])). 13.86/2.40 thf(zip_derived_cl940, plain, 13.86/2.40 (![X0 : a, X1 : a]: 13.86/2.40 ( ('#sk5' @ X1 @ X0) 13.86/2.40 | ~ ('#sk43' @ '#sk5' @ X1 @ X0) 13.86/2.40 | ('#sk5' @ X1 @ X0))), 13.86/2.40 inference('demod', [status(thm)], [zip_derived_cl937, zip_derived_cl45])). 13.86/2.40 thf(zip_derived_cl941, plain, 13.86/2.40 (![X0 : a, X1 : a]: 13.86/2.40 (~ ('#sk43' @ '#sk5' @ X1 @ X0) | ('#sk5' @ X1 @ X0))), 13.86/2.40 inference('simplify', [status(thm)], [zip_derived_cl940])). 13.86/2.40 thf(zip_derived_cl53, plain, 13.86/2.40 ( (((??) @ (^[Y0 : a > a > $o]: 13.86/2.40 ((('#sk2' @ Y0) & (Y0 @ ('#sk18' @ '#sk5') @ 13.86/2.40 ('#sk26' @ '#sk5')))))))), 13.86/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl52])). 13.86/2.40 thf(zip_derived_cl55, plain, 13.86/2.40 ( ((('#sk2' @ ('#sk43' @ '#sk5')) & ('#sk43' @ '#sk5' @ 13.86/2.40 ('#sk18' @ '#sk5') @ ('#sk26' @ '#sk5'))))), 13.86/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl53])). 13.86/2.40 thf(zip_derived_cl45, plain, ( ('#sk2' @ ('#sk43' @ '#sk5'))), 13.86/2.40 inference('clc', [status(thm)], [zip_derived_cl36, zip_derived_cl12])). 13.86/2.40 thf(zip_derived_cl56, plain, 13.86/2.40 ( ((($true) & ('#sk43' @ '#sk5' @ ('#sk18' @ '#sk5') @ 13.86/2.40 ('#sk26' @ '#sk5'))))), 13.86/2.40 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl45])). 13.86/2.40 thf(zip_derived_cl57, plain, 13.86/2.40 ( ('#sk43' @ '#sk5' @ ('#sk18' @ '#sk5') @ ('#sk26' @ '#sk5'))), 13.86/2.40 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl56])). 13.86/2.40 thf(zip_derived_cl952, plain, 13.86/2.40 ( ('#sk5' @ ('#sk18' @ '#sk5') @ ('#sk26' @ '#sk5'))), 13.86/2.40 inference('sup+', [status(thm)], [zip_derived_cl941, zip_derived_cl57])). 13.86/2.40 thf(zip_derived_cl992, plain, ($false), 13.86/2.40 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl952])). 13.86/2.40 13.86/2.40 % SZS output end Refutation 13.86/2.40 13.86/2.40 13.86/2.40 % Terminating... 14.48/2.47 % Runner terminated. 14.48/2.49 % Zipperpin 1.5 exiting 14.48/2.49 EOF