0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xs40yZkTPS true 0.13/0.34 % Computer : n016.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 : 1440 0.13/0.34 % WCLimit : 180 0.20/0.34 % DateTime : Thu Jul 4 07:16:39 EDT 2024 0.20/0.34 % CPUTime : 0.20/0.34 % Running portfolio for 1440 s 0.20/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.20/0.35 % Number of cores: 8 0.20/0.35 % Python version: Python 3.6.8 0.20/0.35 % Running in HO mode 0.55/0.67 % Total configuration time : 828 0.55/0.67 % Estimated wc time : 1656 0.55/0.67 % Estimated cpu time (8 cpus) : 207.0 0.56/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 85.56/11.41 % Solved by lams/20_acsne_simpl.sh. 85.56/11.41 % done 963 iterations in 10.585s 85.56/11.41 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 85.56/11.41 % SZS output start Refutation 85.56/11.41 thf(a_type, type, a: $tType). 85.56/11.41 thf('#sk1_type', type, '#sk1': a > a > $o). 85.56/11.41 thf('#sk2_type', type, '#sk2': (a > $o) > a). 85.56/11.41 thf('#l_lift24572_type', type, '#l_lift24572': (a > a) > a > $o). 85.56/11.41 thf('#sk3_type', type, '#sk3': a > a). 85.56/11.41 thf('#sk18_type', type, '#sk18': (a > $o) > a > a). 85.56/11.41 thf(cTHM145_B_pme, conjecture, 85.56/11.41 (![R:( a > a > $o ),U:( ( a > $o ) > a )]: 85.56/11.41 ( ( ( ![Xx:a,Xy:a,Xz:a]: 85.56/11.41 ( ( ( R @ Xx @ Xy ) & ( R @ Xy @ Xz ) ) => ( R @ Xx @ Xz ) ) ) & 85.56/11.41 ( ![Xs:( a > $o )]: 85.56/11.41 ( ( ![Xj:a]: 85.56/11.41 ( ( ![Xk:a]: ( ( Xs @ Xk ) => ( R @ Xk @ Xj ) ) ) => 85.56/11.41 ( R @ ( U @ Xs ) @ Xj ) ) ) & 85.56/11.41 ( ![Xz:a]: ( ( Xs @ Xz ) => ( R @ Xz @ ( U @ Xs ) ) ) ) & 85.56/11.41 ( ![Xz:a]: ( ( Xs @ Xz ) => ( R @ Xz @ ( U @ Xs ) ) ) ) ) ) ) => 85.56/11.41 ( ![Xf:( a > a )]: 85.56/11.41 ( ( ( ![Xx:a,Xy:a]: 85.56/11.41 ( ( R @ Xx @ Xy ) => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) ) & 85.56/11.41 ( ![Xx:a,Xy:a]: 85.56/11.41 ( ( R @ Xx @ Xy ) => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) ) ) => 85.56/11.41 ( ?[Xw:a]: ( ( R @ ( Xf @ Xw ) @ Xw ) & ( R @ Xw @ ( Xf @ Xw ) ) ) ) ) ) ))). 85.56/11.41 thf(zf_stmt_0, negated_conjecture, 85.56/11.41 (~( ![R:( a > a > $o ),U:( ( a > $o ) > a )]: 85.56/11.41 ( ( ( ![Xx:a,Xy:a,Xz:a]: 85.56/11.41 ( ( ( R @ Xx @ Xy ) & ( R @ Xy @ Xz ) ) => ( R @ Xx @ Xz ) ) ) & 85.56/11.41 ( ![Xs:( a > $o )]: 85.56/11.41 ( ( ![Xj:a]: 85.56/11.41 ( ( ![Xk:a]: ( ( Xs @ Xk ) => ( R @ Xk @ Xj ) ) ) => 85.56/11.41 ( R @ ( U @ Xs ) @ Xj ) ) ) & 85.56/11.41 ( ![Xz:a]: ( ( Xs @ Xz ) => ( R @ Xz @ ( U @ Xs ) ) ) ) & 85.56/11.41 ( ![Xz:a]: ( ( Xs @ Xz ) => ( R @ Xz @ ( U @ Xs ) ) ) ) ) ) ) => 85.56/11.41 ( ![Xf:( a > a )]: 85.56/11.41 ( ( ( ![Xx:a,Xy:a]: 85.56/11.41 ( ( R @ Xx @ Xy ) => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) ) & 85.56/11.41 ( ![Xx:a,Xy:a]: 85.56/11.41 ( ( R @ Xx @ Xy ) => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) ) ) => 85.56/11.41 ( ?[Xw:a]: 85.56/11.41 ( ( R @ ( Xf @ Xw ) @ Xw ) & ( R @ Xw @ ( Xf @ Xw ) ) ) ) ) ) ) )), 85.56/11.41 inference('cnf.neg', [status(esa)], [cTHM145_B_pme])). 85.56/11.41 thf(zip_derived_cl0, plain, 85.56/11.41 (~ (((!!) @ (^[Y0 : a > a > $o]: 85.56/11.41 (((!!) @ (^[Y1 : (a > $o) > a]: 85.56/11.41 (((((((!!) @ (^[Y2 : a]: 85.56/11.41 (((!!) @ (^[Y3 : a]: 85.56/11.41 (((!!) @ ( 85.56/11.41 ^[Y4 : a]: 85.56/11.41 (((((Y0 @ 85.56/11.41 Y2 @ Y3) & 85.56/11.41 (Y0 @ 85.56/11.41 Y3 @ Y4))) => 85.56/11.41 (Y0 @ Y2 @ 85.56/11.41 Y4)))))))))))) & 85.56/11.41 (((!!) @ (^[Y2 : a > $o]: 85.56/11.41 (((((!!) @ (^[Y3 : a]: 85.56/11.41 (((((!!) @ ( 85.56/11.41 ^[Y4 : a]: 85.56/11.41 (( 85.56/11.41 (Y2 @ 85.56/11.41 Y4) => 85.56/11.41 (Y0 @ 85.56/11.41 Y4 @ Y3)))))) => 85.56/11.41 (Y0 @ 85.56/11.41 (Y1 @ Y2) @ 85.56/11.41 Y3)))))) & 85.56/11.41 (((!!) @ (^[Y3 : a]: 85.56/11.41 (((Y2 @ Y3) => 85.56/11.41 (Y0 @ Y3 @ 85.56/11.41 (Y1 @ Y2))))))) & 85.56/11.41 (((!!) @ (^[Y3 : a]: 85.56/11.41 (((Y2 @ Y3) => 85.56/11.41 (Y0 @ Y3 @ 85.56/11.41 (Y1 @ Y2)))))))))))))) => 85.56/11.41 (((!!) @ (^[Y2 : a > a]: 85.56/11.41 (((((((!!) @ (^[Y3 : a]: 85.56/11.41 (((!!) @ ( 85.56/11.41 ^[Y4 : a]: 85.56/11.41 (((Y0 @ 85.56/11.41 Y3 @ 85.56/11.41 Y4) => 85.56/11.41 (Y0 @ 85.56/11.41 (Y2 @ Y3) @ 85.56/11.41 (Y2 @ Y4)))))))))) & 85.56/11.41 (((!!) @ (^[Y3 : a]: 85.56/11.41 (((!!) @ ( 85.56/11.41 ^[Y4 : a]: 85.56/11.41 (((Y0 @ 85.56/11.41 Y3 @ 85.56/11.41 Y4) => 85.56/11.41 (Y0 @ 85.56/11.41 (Y2 @ Y3) @ 85.56/11.41 (Y2 @ Y4)))))))))))) => 85.56/11.41 (((??) @ (^[Y3 : a]: 85.56/11.41 (((Y0 @ 85.56/11.41 (Y2 @ Y3) @ 85.56/11.41 Y3) & (Y0 @ 85.56/11.41 Y3 @ (Y2 @ Y3))))))))))))))))))))), 85.56/11.41 inference('cnf', [status(esa)], [zf_stmt_0])). 85.56/11.41 thf(zip_derived_cl1, plain, 85.56/11.41 (~ (((!!) @ (^[Y0 : a > a > $o]: 85.56/11.41 (((!!) @ (^[Y1 : (a > $o) > a]: 85.56/11.41 (((((((!!) @ (^[Y2 : a]: 85.56/11.41 (((!!) @ (^[Y3 : a]: 85.56/11.41 (((!!) @ ( 85.56/11.41 ^[Y4 : a]: 85.56/11.41 (((((Y0 @ 85.56/11.41 Y2 @ Y3) & 85.56/11.41 (Y0 @ 85.56/11.41 Y3 @ Y4))) => 85.56/11.41 (Y0 @ Y2 @ 85.56/11.41 Y4)))))))))))) & 85.56/11.41 (((!!) @ (^[Y2 : a > $o]: 85.56/11.41 (((((!!) @ (^[Y3 : a]: 85.56/11.41 (((Y2 @ Y3) => 85.56/11.41 (Y0 @ Y3 @ 85.56/11.41 (Y1 @ Y2))))))) & 85.56/11.41 (((!!) @ (^[Y3 : a]: 85.56/11.41 (((((!!) @ ( 85.56/11.41 ^[Y4 : a]: 85.56/11.41 (( 85.56/11.41 (Y2 @ 85.56/11.41 Y4) => 85.56/11.41 (Y0 @ 85.56/11.41 Y4 @ Y3)))))) => 85.56/11.41 (Y0 @ 85.56/11.41 (Y1 @ Y2) @ 85.56/11.41 Y3))))))))))))) => 85.56/11.41 (((!!) @ (^[Y2 : a > a]: 85.56/11.41 (((((!!) @ (^[Y3 : a]: 85.56/11.41 (((!!) @ ( 85.56/11.41 ^[Y4 : a]: 85.56/11.41 (((Y0 @ Y3 @ 85.56/11.41 Y4) => 85.56/11.41 (Y0 @ 85.56/11.41 (Y2 @ Y3) @ 85.56/11.41 (Y2 @ Y4)))))))))) => 85.56/11.41 (((??) @ (^[Y3 : a]: 85.56/11.41 (((Y0 @ 85.56/11.41 (Y2 @ Y3) @ 85.56/11.41 Y3) & (Y0 @ 85.56/11.41 Y3 @ (Y2 @ Y3))))))))))))))))))))), 85.56/11.41 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl0])). 85.56/11.41 thf(zip_derived_cl2, plain, 85.56/11.41 (~ (((!!) @ (^[Y0 : (a > $o) > a]: 85.56/11.41 (((((((!!) @ (^[Y1 : a]: 85.56/11.41 (((!!) @ (^[Y2 : a]: 85.56/11.41 (((!!) @ (^[Y3 : a]: 85.56/11.41 ((((('#sk1' @ 85.56/11.41 Y1 @ Y2) & 85.56/11.41 ('#sk1' @ 85.56/11.41 Y2 @ Y3))) => 85.56/11.41 ('#sk1' @ Y1 @ 85.56/11.41 Y3)))))))))))) & 85.56/11.41 (((!!) @ (^[Y1 : a > $o]: 85.56/11.41 (((((!!) @ (^[Y2 : a]: 85.56/11.41 (((Y1 @ Y2) => ('#sk1' @ 85.56/11.41 Y2 @ (Y0 @ Y1))))))) & 85.56/11.41 (((!!) @ (^[Y2 : a]: 85.56/11.41 (((((!!) @ (^[Y3 : a]: 85.56/11.41 (((Y1 @ Y3) => 85.56/11.41 ('#sk1' @ 85.56/11.41 Y3 @ Y2)))))) => 85.56/11.41 ('#sk1' @ (Y0 @ Y1) @ Y2))))))))))))) => 85.56/11.41 (((!!) @ (^[Y1 : a > a]: 85.56/11.41 (((((!!) @ (^[Y2 : a]: 85.56/11.41 (((!!) @ (^[Y3 : a]: 85.56/11.41 ((('#sk1' @ Y2 @ 85.56/11.41 Y3) => 85.56/11.41 ('#sk1' @ 85.56/11.41 (Y1 @ Y2) @ 85.56/11.41 (Y1 @ Y3)))))))))) => 85.56/11.41 (((??) @ (^[Y2 : a]: 85.56/11.41 ((('#sk1' @ (Y1 @ Y2) @ Y2) & 85.56/11.41 ('#sk1' @ Y2 @ (Y1 @ Y2)))))))))))))))))), 85.56/11.41 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 85.56/11.41 thf(zip_derived_cl3, plain, 85.56/11.41 (~ (((((((!!) @ (^[Y0 : a]: 85.56/11.41 (((!!) @ (^[Y1 : a]: 85.56/11.41 (((!!) @ (^[Y2 : a]: 85.56/11.41 ((((('#sk1' @ Y0 @ Y1) & 85.56/11.41 ('#sk1' @ Y1 @ Y2))) => 85.56/11.41 ('#sk1' @ Y0 @ Y2)))))))))))) & 85.56/11.41 (((!!) @ (^[Y0 : a > $o]: 85.56/11.41 (((((!!) @ (^[Y1 : a]: 85.56/11.41 (((Y0 @ Y1) => ('#sk1' @ Y1 @ 85.56/11.41 ('#sk2' @ Y0))))))) & 85.56/11.41 (((!!) @ (^[Y1 : a]: 85.56/11.41 (((((!!) @ (^[Y2 : a]: 85.56/11.41 (((Y0 @ Y2) => ('#sk1' @ 85.56/11.41 Y2 @ Y1)))))) => 85.56/11.41 ('#sk1' @ ('#sk2' @ Y0) @ Y1))))))))))))) => 85.56/11.41 (((!!) @ (^[Y0 : a > a]: 85.56/11.41 (((((!!) @ (^[Y1 : a]: 85.56/11.41 (((!!) @ (^[Y2 : a]: 85.56/11.41 ((('#sk1' @ Y1 @ Y2) => 85.56/11.41 ('#sk1' @ (Y0 @ Y1) @ 85.56/11.41 (Y0 @ Y2)))))))))) => 85.56/11.41 (((??) @ (^[Y1 : a]: 85.56/11.41 ((('#sk1' @ (Y0 @ Y1) @ Y1) & ('#sk1' @ 85.56/11.41 Y1 @ (Y0 @ Y1))))))))))))))), 85.56/11.41 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 85.56/11.41 thf(zip_derived_cl4, plain, 85.56/11.41 ( (((((!!) @ (^[Y0 : a]: 85.56/11.41 (((!!) @ (^[Y1 : a]: 85.56/11.41 (((!!) @ (^[Y2 : a]: 85.56/11.41 ((((('#sk1' @ Y0 @ Y1) & 85.56/11.41 ('#sk1' @ Y1 @ Y2))) => 85.56/11.41 ('#sk1' @ Y0 @ Y2)))))))))))) & 85.56/11.41 (((!!) @ (^[Y0 : a > $o]: 85.56/11.41 (((((!!) @ (^[Y1 : a]: 85.56/11.41 (((Y0 @ Y1) => ('#sk1' @ Y1 @ 85.56/11.41 ('#sk2' @ Y0))))))) & 85.56/11.41 (((!!) @ (^[Y1 : a]: 85.56/11.41 (((((!!) @ (^[Y2 : a]: 85.56/11.41 (((Y0 @ Y2) => ('#sk1' @ 85.56/11.41 Y2 @ Y1)))))) => 85.56/11.41 ('#sk1' @ ('#sk2' @ Y0) @ Y1)))))))))))))), 85.56/11.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 85.56/11.41 thf(zip_derived_cl7, plain, 85.56/11.41 ( (((!!) @ (^[Y0 : a > $o]: 85.56/11.41 (((((!!) @ (^[Y1 : a]: 85.56/11.41 (((Y0 @ Y1) => ('#sk1' @ Y1 @ ('#sk2' @ Y0))))))) & 85.56/11.41 (((!!) @ (^[Y1 : a]: 85.56/11.41 (((((!!) @ (^[Y2 : a]: 85.56/11.41 (((Y0 @ Y2) => ('#sk1' @ Y2 @ 85.56/11.41 Y1)))))) => 85.56/11.41 ('#sk1' @ ('#sk2' @ Y0) @ Y1)))))))))))), 85.56/11.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 85.56/11.41 thf(zip_derived_cl10, plain, 85.56/11.41 (![X2 : a > $o]: 85.56/11.41 (((((!!) @ (^[Y0 : a]: (((X2 @ Y0) => ('#sk1' @ Y0 @ ('#sk2' @ X2))))))) & 85.56/11.41 (((!!) @ (^[Y0 : a]: 85.56/11.41 (((((!!) @ (^[Y1 : a]: 85.56/11.41 (((X2 @ Y1) => ('#sk1' @ Y1 @ Y0)))))) => 85.56/11.41 ('#sk1' @ ('#sk2' @ X2) @ Y0))))))))), 85.56/11.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 85.56/11.41 thf(zip_derived_cl15, plain, 85.56/11.41 (![X2 : a > $o]: 85.56/11.41 (((!!) @ (^[Y0 : a]: 85.56/11.41 (((((!!) @ (^[Y1 : a]: 85.56/11.41 (((X2 @ Y1) => ('#sk1' @ Y1 @ Y0)))))) => 85.56/11.41 ('#sk1' @ ('#sk2' @ X2) @ Y0))))))), 85.56/11.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 85.56/11.41 thf(zip_derived_cl20, plain, 85.56/11.41 (![X2 : a > $o, X4 : a]: 85.56/11.41 (((((!!) @ (^[Y0 : a]: (((X2 @ Y0) => ('#sk1' @ Y0 @ X4)))))) => 85.56/11.41 ('#sk1' @ ('#sk2' @ X2) @ X4)))), 85.56/11.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])). 85.56/11.41 thf(zip_derived_cl25, plain, 85.56/11.41 (![X2 : a > $o, X4 : a]: 85.56/11.41 (~ (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => ('#sk1' @ Y0 @ X4)))))) 85.56/11.41 | ('#sk1' @ ('#sk2' @ X2) @ X4))), 85.56/11.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 85.56/11.41 thf(zip_derived_cl28, plain, 85.56/11.41 (![X2 : a > $o, X4 : a]: 85.56/11.41 (~ (((X2 @ ('#sk18' @ X2 @ X4)) => ('#sk1' @ ('#sk18' @ X2 @ X4) @ X4))) 85.56/11.41 | ('#sk1' @ ('#sk2' @ X2) @ X4))), 85.56/11.41 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl25])). 85.56/11.41 thf(zip_derived_cl29, plain, 85.56/11.41 (![X2 : a > $o, X4 : a]: 85.56/11.41 ( (X2 @ ('#sk18' @ X2 @ X4)) | ('#sk1' @ ('#sk2' @ X2) @ X4))), 85.56/11.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl28])). 85.56/11.41 thf(zip_derived_cl14, plain, 85.56/11.41 (![X2 : a > $o]: 85.56/11.41 (((!!) @ (^[Y0 : a]: (((X2 @ Y0) => ('#sk1' @ Y0 @ ('#sk2' @ X2)))))))), 85.56/11.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 85.56/11.41 thf(zip_derived_cl19, plain, 85.56/11.41 (![X2 : a > $o, X4 : a]: (((X2 @ X4) => ('#sk1' @ X4 @ ('#sk2' @ X2))))), 85.56/11.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 85.56/11.41 thf(zip_derived_cl24, plain, 85.56/11.41 (![X2 : a > $o, X4 : a]: (~ (X2 @ X4) | ('#sk1' @ X4 @ ('#sk2' @ X2)))), 85.56/11.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])). 85.56/11.41 thf(zip_derived_cl74, plain, 85.56/11.41 (![X0 : a > a, X1 : a > $o]: 85.56/11.41 ( (X1 @ ('#sk18' @ X1 @ (X0 @ ('#sk2' @ X1)))) 85.56/11.41 | ('#sk1' @ ('#sk2' @ X1) @ 85.56/11.41 ('#sk2' @ 85.56/11.41 (^[Y0 : a]: 85.56/11.41 ('#sk1' @ ((^[Y1 : a]: (Y1)) @ Y0) @ 85.56/11.41 ((^[Y1 : a]: (X0 @ Y1)) @ Y0))))))), 85.56/11.41 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl24])). 85.56/11.41 thf(zip_derived_cl83, plain, 85.56/11.41 (![X0 : a > a, X1 : a > $o]: 85.56/11.41 ( (X1 @ ('#sk18' @ X1 @ (X0 @ ('#sk2' @ X1)))) 85.56/11.41 | ('#sk1' @ ('#sk2' @ X1) @ 85.56/11.41 ('#sk2' @ (^[Y0 : a]: ('#sk1' @ Y0 @ (X0 @ Y0))))))), 85.56/11.41 inference('ho_norm', [status(thm)], [zip_derived_cl74])). 85.56/11.41 thf(zip_derived_cl11437, plain, 85.56/11.41 (![X0 : a > a, X2 : a]: 85.56/11.41 (('#l_lift24572' @ X0 @ X2) = ('#sk1' @ X2 @ (X0 @ X2)))), 85.56/11.41 define([status(thm)])). 85.56/11.41 thf(zip_derived_cl29, plain, 85.56/11.41 (![X2 : a > $o, X4 : a]: 85.56/11.41 ( (X2 @ ('#sk18' @ X2 @ X4)) | ('#sk1' @ ('#sk2' @ X2) @ X4))), 85.56/11.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl28])). 85.56/11.41 thf(zip_derived_cl5, plain, 85.56/11.41 (~ (((!!) @ (^[Y0 : a > a]: 85.56/11.41 (((((!!) @ (^[Y1 : a]: 85.56/11.41 (((!!) @ (^[Y2 : a]: 85.56/11.41 ((('#sk1' @ Y1 @ Y2) => 85.56/11.41 ('#sk1' @ (Y0 @ Y1) @ 85.56/11.41 (Y0 @ Y2)))))))))) => 85.56/11.41 (((??) @ (^[Y1 : a]: 85.56/11.41 ((('#sk1' @ (Y0 @ Y1) @ Y1) & ('#sk1' @ 85.56/11.41 Y1 @ (Y0 @ Y1))))))))))))), 85.56/11.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 85.56/11.41 thf(zip_derived_cl8, plain, 85.56/11.41 (~ (((((!!) @ (^[Y0 : a]: 85.56/11.41 (((!!) @ (^[Y1 : a]: 85.56/11.41 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ 85.56/11.41 ('#sk3' @ Y0) @ ('#sk3' @ Y1)))))))))) => 85.56/11.41 (((??) @ (^[Y0 : a]: 85.56/11.41 ((('#sk1' @ ('#sk3' @ Y0) @ Y0) & ('#sk1' @ Y0 @ 85.56/11.41 ('#sk3' @ Y0)))))))))), 85.56/11.41 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl5])). 85.56/11.41 thf(zip_derived_cl12, plain, 85.56/11.41 (~ (((??) @ (^[Y0 : a]: 85.56/11.41 ((('#sk1' @ ('#sk3' @ Y0) @ Y0) & ('#sk1' @ Y0 @ 85.56/11.41 ('#sk3' @ Y0)))))))), 85.56/11.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 85.56/11.41 thf(zip_derived_cl17, plain, 85.56/11.41 (![X2 : a]: 85.56/11.41 ~ ((('#sk1' @ ('#sk3' @ X2) @ X2) & ('#sk1' @ X2 @ ('#sk3' @ X2))))), 85.56/11.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 85.56/11.41 thf(zip_derived_cl22, plain, 85.56/11.41 (![X2 : a]: 85.56/11.41 (~ ('#sk1' @ ('#sk3' @ X2) @ X2) | ~ ('#sk1' @ X2 @ ('#sk3' @ X2)))), 85.56/11.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])). 85.56/11.41 thf(zip_derived_cl24, plain, 85.56/11.41 (![X2 : a > $o, X4 : a]: (~ (X2 @ X4) | ('#sk1' @ X4 @ ('#sk2' @ X2)))), 85.56/11.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])). 85.56/11.41 thf(zip_derived_cl30, plain, 85.56/11.41 (![X2 : a > $o, X4 : a]: 85.56/11.41 (~ ('#sk1' @ ('#sk18' @ X2 @ X4) @ X4) 85.56/11.41 | ('#sk1' @ ('#sk2' @ X2) @ X4))), 85.56/11.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl28])). 85.56/11.41 thf(zip_derived_cl11, plain, 85.56/11.41 ( (((!!) @ (^[Y0 : a]: 85.56/11.41 (((!!) @ (^[Y1 : a]: 85.56/11.41 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ 85.56/11.41 ('#sk3' @ Y0) @ ('#sk3' @ Y1))))))))))), 85.56/11.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 85.56/11.41 thf(zip_derived_cl16, plain, 85.56/11.41 (![X2 : a]: 85.56/11.41 (((!!) @ (^[Y0 : a]: 85.56/11.41 ((('#sk1' @ X2 @ Y0) => ('#sk1' @ ('#sk3' @ X2) @ 85.56/11.41 ('#sk3' @ Y0)))))))), 85.56/11.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])). 85.56/11.41 thf(zip_derived_cl21, plain, 85.56/11.41 (![X2 : a, X4 : a]: 85.56/11.41 ((('#sk1' @ X2 @ X4) => ('#sk1' @ ('#sk3' @ X2) @ ('#sk3' @ X4))))), 85.56/11.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])). 85.56/11.41 thf(zip_derived_cl26, plain, 85.56/11.41 (![X2 : a, X4 : a]: 85.56/11.41 (~ ('#sk1' @ X2 @ X4) | ('#sk1' @ ('#sk3' @ X2) @ ('#sk3' @ X4)))), 85.56/11.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 85.56/11.41 thf(zip_derived_cl29, plain, 85.56/11.41 (![X2 : a > $o, X4 : a]: 85.56/11.41 ( (X2 @ ('#sk18' @ X2 @ X4)) | ('#sk1' @ ('#sk2' @ X2) @ X4))), 85.56/11.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl28])). 85.56/11.41 thf(zip_derived_cl6, plain, 85.56/11.41 ( (((!!) @ (^[Y0 : a]: 85.56/11.41 (((!!) @ (^[Y1 : a]: 85.56/11.41 (((!!) @ (^[Y2 : a]: 85.56/11.41 ((((('#sk1' @ Y0 @ Y1) & ('#sk1' @ 85.56/11.41 Y1 @ Y2))) => 85.56/11.41 ('#sk1' @ Y0 @ Y2))))))))))))), 85.56/11.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 85.56/11.41 thf(zip_derived_cl9, plain, 85.56/11.41 (![X2 : a]: 85.56/11.41 (((!!) @ (^[Y0 : a]: 85.56/11.41 (((!!) @ (^[Y1 : a]: 85.56/11.41 ((((('#sk1' @ X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 85.56/11.41 ('#sk1' @ X2 @ Y1)))))))))), 85.56/11.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 85.56/11.41 thf(zip_derived_cl13, plain, 85.56/11.41 (![X2 : a, X4 : a]: 85.56/11.41 (((!!) @ (^[Y0 : a]: 85.56/11.41 ((((('#sk1' @ X2 @ X4) & ('#sk1' @ X4 @ Y0))) => 85.56/11.41 ('#sk1' @ X2 @ Y0))))))), 85.56/11.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 85.56/11.41 thf(zip_derived_cl18, plain, 85.56/11.41 (![X2 : a, X4 : a, X6 : a]: 85.56/11.41 ((((('#sk1' @ X2 @ X4) & ('#sk1' @ X4 @ X6))) => ('#sk1' @ X2 @ X6)))), 85.56/11.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 85.56/11.41 thf(zip_derived_cl23, plain, 85.56/11.41 (![X2 : a, X4 : a, X6 : a]: 85.56/11.41 (~ ((('#sk1' @ X2 @ X4) & ('#sk1' @ X4 @ X6))) | ('#sk1' @ X2 @ X6))), 85.56/11.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 85.56/11.41 thf(zip_derived_cl27, plain, 85.56/11.41 (![X2 : a, X4 : a, X6 : a]: 85.56/11.41 (~ ('#sk1' @ X2 @ X4) | ~ ('#sk1' @ X4 @ X6) | ('#sk1' @ X2 @ X6))), 85.56/11.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 85.56/11.41 thf(zip_derived_cl75, plain, 85.56/11.41 (![X0 : a > a, X1 : a, X2 : a]: 85.56/11.41 ( ('#sk1' @ 85.56/11.41 ('#sk2' @ 85.56/11.41 (^[Y0 : a]: 85.56/11.41 ('#sk1' @ ((^[Y1 : a]: (Y1)) @ Y0) @ 85.56/11.41 ((^[Y1 : a]: (X0 @ Y1)) @ Y0)))) @ 85.56/11.41 X1) 85.56/11.41 | ('#sk1' @ 85.56/11.41 ('#sk18' @ 85.56/11.41 (^[Y0 : a]: ('#sk1' @ Y0 @ ((^[Y1 : a]: (X0 @ Y1)) @ Y0))) @ X1) @ 85.56/11.41 X2) 85.56/11.41 | ~ ('#sk1' @ 85.56/11.41 (X0 @ ('#sk18' @ (^[Y0 : a]: ('#sk1' @ Y0 @ (X0 @ Y0))) @ X1)) @ 85.56/11.41 X2))), 85.56/11.41 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl27])). 85.56/11.41 thf(zip_derived_cl84, plain, 85.56/11.41 (![X0 : a > a, X1 : a, X2 : a]: 85.56/11.41 ( ('#sk1' @ ('#sk2' @ (^[Y0 : a]: ('#sk1' @ Y0 @ (X0 @ Y0)))) @ X1) 85.56/11.41 | ('#sk1' @ 85.56/11.41 ('#sk18' @ (^[Y0 : a]: ('#sk1' @ Y0 @ (X0 @ Y0))) @ X1) @ X2) 85.56/11.41 | ~ ('#sk1' @ 85.56/11.41 (X0 @ ('#sk18' @ (^[Y0 : a]: ('#sk1' @ Y0 @ (X0 @ Y0))) @ X1)) @ 85.56/11.41 X2))), 85.56/11.41 inference('ho_norm', [status(thm)], [zip_derived_cl75])). 85.56/11.41 thf(zip_derived_cl11437, plain, 85.56/11.41 (![X0 : a > a, X2 : a]: 85.56/11.41 (('#l_lift24572' @ X0 @ X2) = ('#sk1' @ X2 @ (X0 @ X2)))), 85.56/11.41 define([status(thm)])). 85.56/11.41 thf(zip_derived_cl11437, plain, 85.56/11.41 (![X0 : a > a, X2 : a]: 85.56/11.41 (('#l_lift24572' @ X0 @ X2) = ('#sk1' @ X2 @ (X0 @ X2)))), 85.56/11.41 define([status(thm)])). 85.56/11.41 thf(zip_derived_cl11437, plain, 85.56/11.41 (![X0 : a > a, X2 : a]: 85.56/11.41 (('#l_lift24572' @ X0 @ X2) = ('#sk1' @ X2 @ (X0 @ X2)))), 85.56/11.41 define([status(thm)])). 85.56/11.41 thf(zip_derived_cl11443, plain, 85.56/11.41 (![X0 : a > a, X1 : a, X2 : a]: 85.56/11.41 ( ('#sk1' @ ('#sk2' @ ('#l_lift24572' @ X0)) @ X1) 85.56/11.41 | ('#sk1' @ ('#sk18' @ ('#l_lift24572' @ X0) @ X1) @ X2) 85.56/11.41 | ~ ('#sk1' @ (X0 @ ('#sk18' @ ('#l_lift24572' @ X0) @ X1)) @ X2))), 85.56/11.41 inference('lambda_lifting', [status(thm)], 85.56/11.41 [zip_derived_cl84, zip_derived_cl11437, zip_derived_cl11437, 85.56/11.41 zip_derived_cl11437])). 85.56/11.41 thf(zip_derived_cl11447, plain, ($false), 85.56/11.41 inference('eprover', [status(thm)], 85.56/11.41 [zip_derived_cl11437, zip_derived_cl29, zip_derived_cl22, 85.56/11.41 zip_derived_cl24, zip_derived_cl30, zip_derived_cl26, 85.56/11.41 zip_derived_cl11443])). 85.56/11.41 85.56/11.41 % SZS output end Refutation 85.56/11.41 85.56/11.41 85.56/11.41 % Terminating... 85.56/11.50 % Runner terminated. 85.56/11.50 % Zipperpin 1.5 exiting 85.56/11.50 EOF