0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8Z1DnnLEvL true 0.13/0.34 % Computer : n029.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1920 0.13/0.34 % WCLimit : 240 0.13/0.34 % DateTime : Wed Jul 30 03:03:19 EDT 2025 0.13/0.35 % CPUTime : 0.13/0.35 % Running portfolio for 1920 s 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.35 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.58/0.68 % Total configuration time : 828 0.58/0.68 % Estimated wc time : 1656 0.58/0.68 % Estimated cpu time (8 cpus) : 207.0 0.58/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.58/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.58/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.58/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 83.87/11.35 % Solved by lams/20_acsne_simpl.sh. 83.87/11.35 % done 963 iterations in 10.503s 83.87/11.35 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 83.87/11.35 % SZS output start Refutation 83.87/11.35 thf(a_type, type, a: $tType). 83.87/11.35 thf('#l_lift26055_type', type, '#l_lift26055': (a > a) > a > $o). 83.87/11.35 thf('#sk2_type', type, '#sk2': a > a). 83.87/11.35 thf('#sk1_type', type, '#sk1': (a > $o) > a). 83.87/11.35 thf('#sk16_type', type, '#sk16': (a > $o) > a > a). 83.87/11.35 thf(cLQ_type, type, cLQ: a > a > $o). 83.87/11.35 thf(cTHM145L1_pme, conjecture, 83.87/11.35 (![U:( ( a > $o ) > a )]: 83.87/11.35 ( ( ( ![Xs:( a > $o )]: 83.87/11.35 ( ( ![Xj:a]: 83.87/11.35 ( ( ![Xk:a]: ( ( Xs @ Xk ) => ( cLQ @ Xk @ Xj ) ) ) => 83.87/11.35 ( cLQ @ ( U @ Xs ) @ Xj ) ) ) & 83.87/11.35 ( ![Xz:a]: ( ( Xs @ Xz ) => ( cLQ @ Xz @ ( U @ Xs ) ) ) ) ) ) & 83.87/11.35 ( ![Xx:a,Xy:a,Xz:a]: 83.87/11.35 ( ( ( cLQ @ Xx @ Xy ) & ( cLQ @ Xy @ Xz ) ) => ( cLQ @ Xx @ Xz ) ) ) ) => 83.87/11.35 ( ![Xf:( a > a )]: 83.87/11.35 ( ( ![Xx:a,Xy:a]: 83.87/11.35 ( ( cLQ @ Xx @ Xy ) => ( cLQ @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) ) => 83.87/11.35 ( ?[Xw:a]: 83.87/11.35 ( ( cLQ @ ( Xf @ Xw ) @ Xw ) & ( cLQ @ Xw @ ( Xf @ Xw ) ) ) ) ) ) ))). 83.87/11.35 thf(zf_stmt_0, negated_conjecture, 83.87/11.35 (~( ![U:( ( a > $o ) > a )]: 83.87/11.35 ( ( ( ![Xs:( a > $o )]: 83.87/11.35 ( ( ![Xj:a]: 83.87/11.35 ( ( ![Xk:a]: ( ( Xs @ Xk ) => ( cLQ @ Xk @ Xj ) ) ) => 83.87/11.35 ( cLQ @ ( U @ Xs ) @ Xj ) ) ) & 83.87/11.35 ( ![Xz:a]: ( ( Xs @ Xz ) => ( cLQ @ Xz @ ( U @ Xs ) ) ) ) ) ) & 83.87/11.35 ( ![Xx:a,Xy:a,Xz:a]: 83.87/11.35 ( ( ( cLQ @ Xx @ Xy ) & ( cLQ @ Xy @ Xz ) ) => ( cLQ @ Xx @ Xz ) ) ) ) => 83.87/11.35 ( ![Xf:( a > a )]: 83.87/11.35 ( ( ![Xx:a,Xy:a]: 83.87/11.35 ( ( cLQ @ Xx @ Xy ) => ( cLQ @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) ) => 83.87/11.35 ( ?[Xw:a]: 83.87/11.35 ( ( cLQ @ ( Xf @ Xw ) @ Xw ) & ( cLQ @ Xw @ ( Xf @ Xw ) ) ) ) ) ) ) )), 83.87/11.35 inference('cnf.neg', [status(esa)], [cTHM145L1_pme])). 83.87/11.35 thf(zip_derived_cl0, plain, 83.87/11.35 (~ (((!!) @ (^[Y0 : (a > $o) > a]: 83.87/11.35 (((((((!!) @ (^[Y1 : a > $o]: 83.87/11.35 (((((!!) @ (^[Y2 : a]: 83.87/11.35 (((((!!) @ (^[Y3 : a]: 83.87/11.35 (((Y1 @ Y3) => 83.87/11.35 (cLQ @ Y3 @ 83.87/11.35 Y2)))))) => 83.87/11.35 (cLQ @ (Y0 @ Y1) @ Y2)))))) & 83.87/11.35 (((!!) @ (^[Y2 : a]: 83.87/11.35 (((Y1 @ Y2) => (cLQ @ Y2 @ 83.87/11.35 (Y0 @ Y1)))))))))))) & 83.87/11.35 (((!!) @ (^[Y1 : a]: 83.87/11.35 (((!!) @ (^[Y2 : a]: 83.87/11.35 (((!!) @ (^[Y3 : a]: 83.87/11.35 (((((cLQ @ Y1 @ 83.87/11.35 Y2) & (cLQ @ 83.87/11.35 Y2 @ Y3))) => 83.87/11.35 (cLQ @ Y1 @ Y3)))))))))))))) => 83.87/11.35 (((!!) @ (^[Y1 : a > a]: 83.87/11.35 (((((!!) @ (^[Y2 : a]: 83.87/11.35 (((!!) @ (^[Y3 : a]: 83.87/11.35 (((cLQ @ Y2 @ 83.87/11.35 Y3) => (cLQ @ 83.87/11.35 (Y1 @ Y2) @ 83.87/11.35 (Y1 @ Y3)))))))))) => 83.87/11.35 (((??) @ (^[Y2 : a]: 83.87/11.35 (((cLQ @ (Y1 @ Y2) @ Y2) & 83.87/11.35 (cLQ @ Y2 @ (Y1 @ Y2)))))))))))))))))), 83.87/11.35 inference('cnf', [status(esa)], [zf_stmt_0])). 83.87/11.35 thf(zip_derived_cl1, plain, 83.87/11.35 (~ (((((((!!) @ (^[Y0 : a > $o]: 83.87/11.35 (((((!!) @ (^[Y1 : a]: 83.87/11.35 (((((!!) @ (^[Y2 : a]: 83.87/11.35 (((Y0 @ Y2) => (cLQ @ 83.87/11.35 Y2 @ Y1)))))) => 83.87/11.35 (cLQ @ ('#sk1' @ Y0) @ Y1)))))) & 83.87/11.35 (((!!) @ (^[Y1 : a]: 83.87/11.35 (((Y0 @ Y1) => (cLQ @ Y1 @ 83.87/11.35 ('#sk1' @ Y0)))))))))))) & 83.87/11.35 (((!!) @ (^[Y0 : a]: 83.87/11.35 (((!!) @ (^[Y1 : a]: 83.87/11.35 (((!!) @ (^[Y2 : a]: 83.87/11.35 (((((cLQ @ Y0 @ Y1) & (cLQ @ 83.87/11.35 Y1 @ Y2))) => 83.87/11.35 (cLQ @ Y0 @ Y2)))))))))))))) => 83.87/11.35 (((!!) @ (^[Y0 : a > a]: 83.87/11.35 (((((!!) @ (^[Y1 : a]: 83.87/11.35 (((!!) @ (^[Y2 : a]: 83.87/11.35 (((cLQ @ Y1 @ Y2) => (cLQ @ 83.87/11.35 (Y0 @ Y1) @ (Y0 @ Y2)))))))))) => 83.87/11.35 (((??) @ (^[Y1 : a]: 83.87/11.35 (((cLQ @ (Y0 @ Y1) @ Y1) & (cLQ @ Y1 @ 83.87/11.35 (Y0 @ Y1))))))))))))))), 83.87/11.35 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 83.87/11.35 thf(zip_derived_cl2, plain, 83.87/11.35 ( (((((!!) @ (^[Y0 : a > $o]: 83.87/11.35 (((((!!) @ (^[Y1 : a]: 83.87/11.35 (((((!!) @ (^[Y2 : a]: 83.87/11.35 (((Y0 @ Y2) => (cLQ @ Y2 @ 83.87/11.35 Y1)))))) => 83.87/11.35 (cLQ @ ('#sk1' @ Y0) @ Y1)))))) & 83.87/11.35 (((!!) @ (^[Y1 : a]: 83.87/11.35 (((Y0 @ Y1) => (cLQ @ Y1 @ ('#sk1' @ Y0)))))))))))) & 83.87/11.35 (((!!) @ (^[Y0 : a]: 83.87/11.35 (((!!) @ (^[Y1 : a]: 83.87/11.35 (((!!) @ (^[Y2 : a]: 83.87/11.35 (((((cLQ @ Y0 @ Y1) & (cLQ @ 83.87/11.35 Y1 @ Y2))) => 83.87/11.35 (cLQ @ Y0 @ Y2))))))))))))))), 83.87/11.35 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 83.87/11.35 thf(zip_derived_cl4, plain, 83.87/11.35 ( (((!!) @ (^[Y0 : a > $o]: 83.87/11.35 (((((!!) @ (^[Y1 : a]: 83.87/11.35 (((((!!) @ (^[Y2 : a]: 83.87/11.35 (((Y0 @ Y2) => (cLQ @ Y2 @ Y1)))))) => 83.87/11.35 (cLQ @ ('#sk1' @ Y0) @ Y1)))))) & 83.87/11.35 (((!!) @ (^[Y1 : a]: 83.87/11.35 (((Y0 @ Y1) => (cLQ @ Y1 @ ('#sk1' @ Y0))))))))))))), 83.87/11.35 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2])). 83.87/11.35 thf(zip_derived_cl7, plain, 83.87/11.35 (![X2 : a > $o]: 83.87/11.35 (((((!!) @ (^[Y0 : a]: 83.87/11.35 (((((!!) @ (^[Y1 : a]: (((X2 @ Y1) => (cLQ @ Y1 @ Y0)))))) => 83.87/11.35 (cLQ @ ('#sk1' @ X2) @ Y0)))))) & 83.87/11.35 (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cLQ @ Y0 @ ('#sk1' @ X2)))))))))), 83.87/11.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 83.87/11.35 thf(zip_derived_cl11, plain, 83.87/11.35 (![X2 : a > $o]: 83.87/11.35 (((!!) @ (^[Y0 : a]: 83.87/11.35 (((((!!) @ (^[Y1 : a]: (((X2 @ Y1) => (cLQ @ Y1 @ Y0)))))) => 83.87/11.35 (cLQ @ ('#sk1' @ X2) @ Y0))))))), 83.87/11.35 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl7])). 83.87/11.35 thf(zip_derived_cl16, plain, 83.87/11.35 (![X2 : a > $o, X4 : a]: 83.87/11.35 (((((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cLQ @ Y0 @ X4)))))) => (cLQ @ 83.87/11.35 ('#sk1' @ X2) @ X4)))), 83.87/11.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])). 83.87/11.35 thf(zip_derived_cl21, plain, 83.87/11.35 (![X2 : a > $o, X4 : a]: 83.87/11.35 (~ (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cLQ @ Y0 @ X4)))))) 83.87/11.35 | (cLQ @ ('#sk1' @ X2) @ X4))), 83.87/11.35 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 83.87/11.35 thf(zip_derived_cl25, plain, 83.87/11.35 (![X2 : a > $o, X4 : a]: 83.87/11.35 (~ (((X2 @ ('#sk16' @ X2 @ X4)) => (cLQ @ ('#sk16' @ X2 @ X4) @ X4))) 83.87/11.35 | (cLQ @ ('#sk1' @ X2) @ X4))), 83.87/11.35 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])). 83.87/11.35 thf(zip_derived_cl27, plain, 83.87/11.35 (![X2 : a > $o, X4 : a]: 83.87/11.35 ( (X2 @ ('#sk16' @ X2 @ X4)) | (cLQ @ ('#sk1' @ X2) @ X4))), 83.87/11.35 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])). 83.87/11.35 thf(zip_derived_cl12, plain, 83.87/11.35 (![X2 : a > $o]: 83.87/11.35 (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => (cLQ @ Y0 @ ('#sk1' @ X2)))))))), 83.87/11.35 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl7])). 83.87/11.35 thf(zip_derived_cl17, plain, 83.87/11.35 (![X2 : a > $o, X4 : a]: (((X2 @ X4) => (cLQ @ X4 @ ('#sk1' @ X2))))), 83.87/11.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 83.87/11.35 thf(zip_derived_cl22, plain, 83.87/11.35 (![X2 : a > $o, X4 : a]: (~ (X2 @ X4) | (cLQ @ X4 @ ('#sk1' @ X2)))), 83.87/11.35 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl17])). 83.87/11.35 thf(zip_derived_cl72, plain, 83.87/11.35 (![X0 : a > a, X1 : a > $o]: 83.87/11.35 ( (X1 @ ('#sk16' @ X1 @ (X0 @ ('#sk1' @ X1)))) 83.87/11.35 | (cLQ @ ('#sk1' @ X1) @ 83.87/11.35 ('#sk1' @ 83.87/11.35 (^[Y0 : a]: 83.87/11.35 (cLQ @ ((^[Y1 : a]: (Y1)) @ Y0) @ 83.87/11.35 ((^[Y1 : a]: (X0 @ Y1)) @ Y0))))))), 83.87/11.35 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl22])). 83.87/11.35 thf(zip_derived_cl81, plain, 83.87/11.35 (![X0 : a > a, X1 : a > $o]: 83.87/11.35 ( (X1 @ ('#sk16' @ X1 @ (X0 @ ('#sk1' @ X1)))) 83.87/11.35 | (cLQ @ ('#sk1' @ X1) @ 83.87/11.35 ('#sk1' @ (^[Y0 : a]: (cLQ @ Y0 @ (X0 @ Y0))))))), 83.87/11.35 inference('ho_norm', [status(thm)], [zip_derived_cl72])). 83.87/11.35 thf(zip_derived_cl11942, plain, 83.87/11.35 (![X0 : a > a, X2 : a]: 83.87/11.35 (('#l_lift26055' @ X0 @ X2) = (cLQ @ X2 @ (X0 @ X2)))), 83.87/11.35 define([status(thm)])). 83.87/11.35 thf(zip_derived_cl27, plain, 83.87/11.35 (![X2 : a > $o, X4 : a]: 83.87/11.35 ( (X2 @ ('#sk16' @ X2 @ X4)) | (cLQ @ ('#sk1' @ X2) @ X4))), 83.87/11.35 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])). 83.87/11.35 thf(zip_derived_cl3, plain, 83.87/11.35 (~ (((!!) @ (^[Y0 : a > a]: 83.87/11.35 (((((!!) @ (^[Y1 : a]: 83.87/11.35 (((!!) @ (^[Y2 : a]: 83.87/11.35 (((cLQ @ Y1 @ Y2) => (cLQ @ 83.87/11.35 (Y0 @ Y1) @ (Y0 @ Y2)))))))))) => 83.87/11.35 (((??) @ (^[Y1 : a]: 83.87/11.35 (((cLQ @ (Y0 @ Y1) @ Y1) & (cLQ @ Y1 @ 83.87/11.35 (Y0 @ Y1))))))))))))), 83.87/11.35 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 83.87/11.35 thf(zip_derived_cl6, plain, 83.87/11.35 (~ (((((!!) @ (^[Y0 : a]: 83.87/11.35 (((!!) @ (^[Y1 : a]: 83.87/11.35 (((cLQ @ Y0 @ Y1) => (cLQ @ ('#sk2' @ Y0) @ 83.87/11.35 ('#sk2' @ Y1)))))))))) => 83.87/11.35 (((??) @ (^[Y0 : a]: 83.87/11.35 (((cLQ @ ('#sk2' @ Y0) @ Y0) & (cLQ @ Y0 @ 83.87/11.35 ('#sk2' @ Y0)))))))))), 83.87/11.35 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 83.87/11.35 thf(zip_derived_cl10, plain, 83.87/11.35 (~ (((??) @ (^[Y0 : a]: 83.87/11.35 (((cLQ @ ('#sk2' @ Y0) @ Y0) & (cLQ @ Y0 @ ('#sk2' @ Y0)))))))), 83.87/11.35 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])). 83.87/11.35 thf(zip_derived_cl15, plain, 83.87/11.35 (![X2 : a]: ~ (((cLQ @ ('#sk2' @ X2) @ X2) & (cLQ @ X2 @ ('#sk2' @ X2))))), 83.87/11.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])). 83.87/11.35 thf(zip_derived_cl20, plain, 83.87/11.35 (![X2 : a]: (~ (cLQ @ ('#sk2' @ X2) @ X2) | ~ (cLQ @ X2 @ ('#sk2' @ X2)))), 83.87/11.35 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])). 83.87/11.35 thf(zip_derived_cl22, plain, 83.87/11.35 (![X2 : a > $o, X4 : a]: (~ (X2 @ X4) | (cLQ @ X4 @ ('#sk1' @ X2)))), 83.87/11.35 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl17])). 83.87/11.35 thf(zip_derived_cl28, plain, 83.87/11.35 (![X2 : a > $o, X4 : a]: 83.87/11.35 (~ (cLQ @ ('#sk16' @ X2 @ X4) @ X4) | (cLQ @ ('#sk1' @ X2) @ X4))), 83.87/11.35 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])). 83.87/11.35 thf(zip_derived_cl9, plain, 83.87/11.35 ( (((!!) @ (^[Y0 : a]: 83.87/11.35 (((!!) @ (^[Y1 : a]: 83.87/11.35 (((cLQ @ Y0 @ Y1) => (cLQ @ ('#sk2' @ Y0) @ 83.87/11.35 ('#sk2' @ Y1))))))))))), 83.87/11.35 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])). 83.87/11.35 thf(zip_derived_cl14, plain, 83.87/11.35 (![X2 : a]: 83.87/11.35 (((!!) @ (^[Y0 : a]: 83.87/11.35 (((cLQ @ X2 @ Y0) => (cLQ @ ('#sk2' @ X2) @ 83.87/11.35 ('#sk2' @ Y0)))))))), 83.87/11.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 83.87/11.35 thf(zip_derived_cl19, plain, 83.87/11.35 (![X2 : a, X4 : a]: 83.87/11.35 (((cLQ @ X2 @ X4) => (cLQ @ ('#sk2' @ X2) @ ('#sk2' @ X4))))), 83.87/11.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 83.87/11.35 thf(zip_derived_cl24, plain, 83.87/11.35 (![X2 : a, X4 : a]: 83.87/11.35 (~ (cLQ @ X2 @ X4) | (cLQ @ ('#sk2' @ X2) @ ('#sk2' @ X4)))), 83.87/11.35 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])). 83.87/11.35 thf(zip_derived_cl27, plain, 83.87/11.35 (![X2 : a > $o, X4 : a]: 83.87/11.35 ( (X2 @ ('#sk16' @ X2 @ X4)) | (cLQ @ ('#sk1' @ X2) @ X4))), 83.87/11.35 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])). 83.87/11.35 thf(zip_derived_cl5, plain, 83.87/11.35 ( (((!!) @ (^[Y0 : a]: 83.87/11.35 (((!!) @ (^[Y1 : a]: 83.87/11.35 (((!!) @ (^[Y2 : a]: 83.87/11.35 (((((cLQ @ Y0 @ Y1) & (cLQ @ Y1 @ 83.87/11.35 Y2))) => 83.87/11.35 (cLQ @ Y0 @ Y2))))))))))))), 83.87/11.35 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2])). 83.87/11.35 thf(zip_derived_cl8, plain, 83.87/11.35 (![X2 : a]: 83.87/11.35 (((!!) @ (^[Y0 : a]: 83.87/11.35 (((!!) @ (^[Y1 : a]: 83.87/11.35 (((((cLQ @ X2 @ Y0) & (cLQ @ Y0 @ Y1))) => 83.87/11.35 (cLQ @ X2 @ Y1)))))))))), 83.87/11.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 83.87/11.35 thf(zip_derived_cl13, plain, 83.87/11.35 (![X2 : a, X4 : a]: 83.87/11.35 (((!!) @ (^[Y0 : a]: 83.87/11.35 (((((cLQ @ X2 @ X4) & (cLQ @ X4 @ Y0))) => (cLQ @ X2 @ 83.87/11.35 Y0))))))), 83.87/11.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 83.87/11.35 thf(zip_derived_cl18, plain, 83.87/11.35 (![X2 : a, X4 : a, X6 : a]: 83.87/11.35 (((((cLQ @ X2 @ X4) & (cLQ @ X4 @ X6))) => (cLQ @ X2 @ X6)))), 83.87/11.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 83.87/11.35 thf(zip_derived_cl23, plain, 83.87/11.35 (![X2 : a, X4 : a, X6 : a]: 83.87/11.35 (~ (((cLQ @ X2 @ X4) & (cLQ @ X4 @ X6))) | (cLQ @ X2 @ X6))), 83.87/11.35 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 83.87/11.35 thf(zip_derived_cl26, plain, 83.87/11.35 (![X2 : a, X4 : a, X6 : a]: 83.87/11.35 (~ (cLQ @ X2 @ X4) | ~ (cLQ @ X4 @ X6) | (cLQ @ X2 @ X6))), 83.87/11.35 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 83.87/11.35 thf(zip_derived_cl73, plain, 83.87/11.35 (![X0 : a > a, X1 : a, X2 : a]: 83.87/11.35 ( (cLQ @ 83.87/11.35 ('#sk1' @ 83.87/11.35 (^[Y0 : a]: 83.87/11.35 (cLQ @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (X0 @ Y1)) @ Y0)))) @ 83.87/11.35 X1) 83.87/11.35 | (cLQ @ 83.87/11.35 ('#sk16' @ 83.87/11.35 (^[Y0 : a]: (cLQ @ Y0 @ ((^[Y1 : a]: (X0 @ Y1)) @ Y0))) @ X1) @ 83.87/11.35 X2) 83.87/11.35 | ~ (cLQ @ 83.87/11.35 (X0 @ ('#sk16' @ (^[Y0 : a]: (cLQ @ Y0 @ (X0 @ Y0))) @ X1)) @ X2))), 83.87/11.35 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl26])). 83.87/11.35 thf(zip_derived_cl82, plain, 83.87/11.35 (![X0 : a > a, X1 : a, X2 : a]: 83.87/11.35 ( (cLQ @ ('#sk1' @ (^[Y0 : a]: (cLQ @ Y0 @ (X0 @ Y0)))) @ X1) 83.87/11.35 | (cLQ @ ('#sk16' @ (^[Y0 : a]: (cLQ @ Y0 @ (X0 @ Y0))) @ X1) @ X2) 83.87/11.35 | ~ (cLQ @ 83.87/11.35 (X0 @ ('#sk16' @ (^[Y0 : a]: (cLQ @ Y0 @ (X0 @ Y0))) @ X1)) @ X2))), 83.87/11.35 inference('ho_norm', [status(thm)], [zip_derived_cl73])). 83.87/11.35 thf(zip_derived_cl11942, plain, 83.87/11.35 (![X0 : a > a, X2 : a]: 83.87/11.35 (('#l_lift26055' @ X0 @ X2) = (cLQ @ X2 @ (X0 @ X2)))), 83.87/11.35 define([status(thm)])). 83.87/11.35 thf(zip_derived_cl11942, plain, 83.87/11.35 (![X0 : a > a, X2 : a]: 83.87/11.35 (('#l_lift26055' @ X0 @ X2) = (cLQ @ X2 @ (X0 @ X2)))), 83.87/11.35 define([status(thm)])). 83.87/11.35 thf(zip_derived_cl11942, plain, 83.87/11.35 (![X0 : a > a, X2 : a]: 83.87/11.35 (('#l_lift26055' @ X0 @ X2) = (cLQ @ X2 @ (X0 @ X2)))), 83.87/11.35 define([status(thm)])). 83.87/11.35 thf(zip_derived_cl11948, plain, 83.87/11.35 (![X0 : a > a, X1 : a, X2 : a]: 83.87/11.35 ( (cLQ @ ('#sk1' @ ('#l_lift26055' @ X0)) @ X1) 83.87/11.35 | (cLQ @ ('#sk16' @ ('#l_lift26055' @ X0) @ X1) @ X2) 83.87/11.35 | ~ (cLQ @ (X0 @ ('#sk16' @ ('#l_lift26055' @ X0) @ X1)) @ X2))), 83.87/11.35 inference('lambda_lifting', [status(thm)], 83.87/11.35 [zip_derived_cl82, zip_derived_cl11942, zip_derived_cl11942, 83.87/11.35 zip_derived_cl11942])). 83.87/11.35 thf(zip_derived_cl11952, plain, ($false), 83.87/11.35 inference('eprover', [status(thm)], 83.87/11.35 [zip_derived_cl11942, zip_derived_cl27, zip_derived_cl20, 83.87/11.35 zip_derived_cl22, zip_derived_cl28, zip_derived_cl24, 83.87/11.35 zip_derived_cl11948])). 83.87/11.35 83.87/11.35 % SZS output end Refutation 83.87/11.35 83.87/11.35 83.87/11.35 % Terminating... 83.87/11.42 % Runner terminated. 83.87/11.43 % Zipperpin 1.5 exiting 83.87/11.43 EOF