0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.08 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BRThg6Jh5K true 0.18/0.45 % Computer : n008.cluster.edu 0.18/0.45 % Model : x86_64 x86_64 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.18/0.45 % Memory : 8046.5625MB 0.18/0.45 % OS : Linux 6.8.0-71-generic 0.18/0.45 % CPULimit : 1440 0.18/0.45 % WCLimit : 180 0.18/0.45 % DateTime : Mon Jul 27 14:11:12 UTC 2026 0.18/0.46 % CPUTime : 0.18/0.46 % Running portfolio for 1440 s 0.18/0.46 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.18/0.46 % Number of cores: 8 0.18/0.47 % Python version: Python 3.12.3 0.18/0.47 % Running in HO mode 0.41/0.96 % Total configuration time : 828 0.41/0.96 % Estimated wc time : 1656 0.41/0.96 % Estimated cpu time (8 cpus) : 207.0 0.41/1.10 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 1.61/1.15 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 2.15/1.23 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 2.15/1.25 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 2.15/1.25 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 2.15/1.27 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 2.30/1.33 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 2.30/1.37 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 64.07/10.39 % Solved by lams/20_acsne_simpl.sh. 64.07/10.39 % done 205 iterations in 8.943s 64.07/10.39 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 64.07/10.39 % SZS output start Refutation 64.07/10.39 thf(qML_i_type, type, qML_i: $tType). 64.07/10.39 thf(qML_mu_type, type, qML_mu: $tType). 64.07/10.39 thf(scott_P_type, type, scott_P: (qML_mu > qML_i > $o) > qML_i > $o). 64.07/10.39 thf('#l_lift8994_type', type, '#l_lift8994': (qML_mu > qML_i > $o) > 64.07/10.39 qML_mu > qML_i > $o). 64.07/10.39 thf('#sk103_type', type, '#sk103': (qML_mu > qML_i > $o) > 64.07/10.39 (qML_mu > qML_i > $o) > qML_i). 64.07/10.39 thf('#l_lift8995_type', type, '#l_lift8995': qML_mu > qML_i > $o). 64.07/10.39 thf('#sk316_type', type, '#sk316': (qML_mu > qML_i > $o) > 64.07/10.39 (qML_mu > qML_i > $o) > qML_mu). 64.07/10.39 thf('#sk118_type', type, '#sk118': (qML_mu > qML_i > $o) > 64.07/10.39 (qML_mu > qML_i > $o) > qML_mu). 64.07/10.39 thf(scott_G_type, type, scott_G: qML_mu > qML_i > $o). 64.07/10.39 thf('#sk46_type', type, '#sk46': qML_i). 64.07/10.39 thf(scott_ess_QML_mu_type, type, scott_ess_QML_mu: (qML_mu > qML_i > $o) > 64.07/10.39 qML_mu > qML_i > $o). 64.07/10.39 thf(scott_NE_QML_mu_type, type, scott_NE_QML_mu: qML_mu > qML_i > $o). 64.07/10.39 thf('#sk301_type', type, '#sk301': (qML_mu > qML_i > $o) > 64.07/10.39 (qML_mu > qML_i > $o) > qML_i). 64.07/10.39 thf(fact_3_A1b, axiom, 64.07/10.39 (![W2:qML_i,X2:( qML_mu > qML_i > $o )]: 64.07/10.39 ( ( ~( scott_P @ X2 @ W2 ) ) => 64.07/10.39 ( scott_P @ ( ^[Y:qML_mu,Z:qML_i]: ( ~( X2 @ Y @ Z ) ) ) @ W2 ) ))). 64.07/10.39 thf(zip_derived_cl5, plain, 64.07/10.39 ( (((!!) @ (^[Y0 : qML_i]: 64.07/10.39 (((!!) @ (^[Y1 : qML_mu > qML_i > $o]: 64.07/10.39 (((((~) @ (scott_P @ Y1 @ Y0))) => (scott_P @ 64.07/10.39 (^[Y2 : qML_mu,Y3 : qML_i]: 64.07/10.39 (((~) @ (Y1 @ Y2 @ Y3)))) @ 64.07/10.39 Y0)))))))))), 64.07/10.39 inference('cnf', [status(esa)], [fact_3_A1b])). 64.07/10.39 thf(zip_derived_cl49, plain, 64.07/10.39 (![X2 : qML_i]: 64.07/10.39 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]: 64.07/10.39 (((((~) @ (scott_P @ Y0 @ X2))) => (scott_P @ 64.07/10.39 (^[Y1 : qML_mu,Y2 : qML_i]: (((~) @ (Y0 @ Y1 @ Y2)))) @ 64.07/10.39 X2))))))), 64.07/10.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 64.07/10.39 thf(zip_derived_cl50, plain, 64.07/10.39 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]: 64.07/10.39 (((((~) @ (scott_P @ X4 @ X2))) => (scott_P @ 64.07/10.39 (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X4 @ Y0 @ Y1)))) @ X2)))), 64.07/10.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl49])). 64.07/10.39 thf(zip_derived_cl54, plain, 64.07/10.39 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]: 64.07/10.39 ( (scott_P @ X4 @ X2) 64.07/10.39 | (scott_P @ 64.07/10.39 (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X4 @ Y0 @ Y1)))) @ X2))), 64.07/10.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])). 64.07/10.39 thf(fact_2_A4, axiom, 64.07/10.39 (![W2:qML_i,X2:( qML_mu > qML_i > $o )]: 64.07/10.39 ( ( scott_P @ X2 @ W2 ) => ( ![X_1:qML_i]: ( scott_P @ X2 @ X_1 ) ) ))). 64.07/10.39 thf(zip_derived_cl8, plain, 64.07/10.39 ( (((!!) @ (^[Y0 : qML_i]: 64.07/10.39 (((!!) @ (^[Y1 : qML_mu > qML_i > $o]: 64.07/10.39 (((scott_P @ Y1 @ Y0) => 64.07/10.39 (((!!) @ (^[Y2 : qML_i]: (scott_P @ Y1 @ Y2))))))))))))), 64.07/10.39 inference('cnf', [status(esa)], [fact_2_A4])). 64.07/10.39 thf(zip_derived_cl12, plain, 64.07/10.39 (![X2 : qML_i]: 64.07/10.39 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]: 64.07/10.39 (((scott_P @ Y0 @ X2) => 64.07/10.39 (((!!) @ (^[Y1 : qML_i]: (scott_P @ Y0 @ Y1)))))))))), 64.07/10.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 64.07/10.39 thf(zip_derived_cl13, plain, 64.07/10.39 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]: 64.07/10.39 (((scott_P @ X4 @ X2) => 64.07/10.39 (((!!) @ (^[Y0 : qML_i]: (scott_P @ X4 @ Y0))))))), 64.07/10.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 64.07/10.39 thf(zip_derived_cl16, plain, 64.07/10.39 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]: 64.07/10.39 (~ (scott_P @ X4 @ X2) 64.07/10.39 | (((!!) @ (^[Y0 : qML_i]: (scott_P @ X4 @ Y0)))))), 64.07/10.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])). 64.07/10.39 thf(zip_derived_cl17, plain, 64.07/10.39 (![X2 : qML_i, X4 : qML_mu > qML_i > $o, X6 : qML_i]: 64.07/10.39 ( (scott_P @ X4 @ X6) | ~ (scott_P @ X4 @ X2))), 64.07/10.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])). 64.07/10.39 thf(zip_derived_cl203, plain, 64.07/10.39 (![X0 : qML_i, X1 : qML_mu > qML_i > $o, X2 : qML_i]: 64.07/10.39 ( (scott_P @ (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X1 @ Y0 @ Y1)))) @ 64.07/10.39 X0) 64.07/10.39 | (scott_P @ X1 @ X2))), 64.07/10.39 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl17])). 64.07/10.39 thf(fact_7_A1a, axiom, 64.07/10.39 (![W2:qML_i,X2:( qML_mu > qML_i > $o )]: 64.07/10.39 ( ( scott_P @ ( ^[Y:qML_mu,Z:qML_i]: ( ~( X2 @ Y @ Z ) ) ) @ W2 ) => 64.07/10.39 ( ~( scott_P @ X2 @ W2 ) ) ))). 64.07/10.39 thf(zip_derived_cl0, plain, 64.07/10.39 ( (((!!) @ (^[Y0 : qML_i]: 64.07/10.39 (((!!) @ (^[Y1 : qML_mu > qML_i > $o]: 64.07/10.39 (((scott_P @ 64.07/10.39 (^[Y2 : qML_mu,Y3 : qML_i]: 64.07/10.39 (((~) @ (Y1 @ Y2 @ Y3)))) @ 64.07/10.39 Y0) => (((~) @ (scott_P @ Y1 @ Y0)))))))))))), 64.07/10.39 inference('cnf', [status(esa)], [fact_7_A1a])). 64.07/10.39 thf(zip_derived_cl22, plain, 64.07/10.39 (![X2 : qML_i]: 64.07/10.39 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]: 64.07/10.39 (((scott_P @ 64.07/10.39 (^[Y1 : qML_mu,Y2 : qML_i]: (((~) @ (Y0 @ Y1 @ Y2)))) @ 64.07/10.39 X2) => (((~) @ (scott_P @ Y0 @ X2))))))))), 64.07/10.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])). 64.07/10.39 thf(zip_derived_cl23, plain, 64.07/10.39 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]: 64.07/10.39 (((scott_P @ (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X4 @ Y0 @ Y1)))) @ 64.07/10.39 X2) => (((~) @ (scott_P @ X4 @ X2)))))), 64.07/10.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])). 64.07/10.39 thf(zip_derived_cl26, plain, 64.07/10.39 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]: 64.07/10.39 (~ (scott_P @ (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X4 @ Y0 @ Y1)))) @ 64.07/10.39 X2) 64.07/10.39 | ~ (scott_P @ X4 @ X2))), 64.07/10.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 64.07/10.39 thf(zip_derived_cl2306, plain, 64.07/10.39 (![X4 : qML_mu > qML_i > $o, X5 : qML_mu, X6 : qML_i]: 64.07/10.39 (('#l_lift8994' @ X4 @ X5 @ X6) = (((~) @ (X4 @ X5 @ X6))))), 64.07/10.39 define([status(thm)])). 64.07/10.39 thf(zip_derived_cl2334, plain, 64.07/10.39 (![X0 : qML_i, X1 : qML_mu > qML_i > $o, X2 : qML_i]: 64.07/10.39 ( (scott_P @ ('#l_lift8994' @ X1) @ X0) | (scott_P @ X1 @ X2))), 64.07/10.39 inference('lambda_lifting', [status(thm)], 64.07/10.39 [zip_derived_cl203, zip_derived_cl2306])). 64.07/10.39 thf(fact_0_G__def, axiom, 64.07/10.39 (( scott_G ) = 64.07/10.39 ( ^[X:qML_mu,W:qML_i]: 64.07/10.39 ( ![Y:( qML_mu > qML_i > $o )]: ( ( scott_P @ Y @ W ) => ( Y @ X @ W ) ) ) ))). 64.07/10.39 thf(zip_derived_cl6, plain, 64.07/10.39 (((scott_G) 64.07/10.39 = ((^[Y0 : qML_mu,Y1 : qML_i]: 64.07/10.39 (((!!) @ (^[Y2 : qML_mu > qML_i > $o]: 64.07/10.39 (((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))))), 64.07/10.39 inference('cnf', [status(esa)], [fact_0_G__def])). 64.07/10.39 thf(zip_derived_cl18, plain, 64.07/10.39 (![X2 : qML_mu, X3 : qML_i]: 64.07/10.39 ((scott_G @ X2 @ X3) 64.07/10.39 = ((^[Y0 : qML_mu,Y1 : qML_i]: 64.07/10.39 (((!!) @ (^[Y2 : qML_mu > qML_i > $o]: 64.07/10.39 (((scott_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) @ 64.07/10.39 X2 @ X3))), 64.07/10.39 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl6])). 64.07/10.39 thf(zip_derived_cl19, plain, 64.07/10.39 (![X2 : qML_mu, X3 : qML_i]: 64.07/10.39 ((scott_G @ X2 @ X3) 64.07/10.39 = (((!!) @ (^[Y0 : qML_mu > qML_i > $o]: 64.07/10.39 (((scott_P @ Y0 @ X3) => (Y0 @ X2 @ X3)))))))), 64.07/10.39 inference('ho_norm', [status(thm)], [zip_derived_cl18])). 64.07/10.39 thf(fact_6_ess__def, axiom, 64.07/10.39 (( scott_ess_QML_mu ) = 64.07/10.39 ( ^[Phi:( qML_mu > qML_i > $o ),X:qML_mu,W:qML_i]: 64.07/10.39 ( ( Phi @ X @ W ) & 64.07/10.39 ( ![Y:( qML_mu > qML_i > $o )]: 64.07/10.39 ( ( Y @ X @ W ) => 64.07/10.39 ( ![V2:qML_i,Z:qML_mu]: ( ( Phi @ Z @ V2 ) => ( Y @ Z @ V2 ) ) ) ) ) ) ))). 64.07/10.39 thf(zip_derived_cl7, plain, 64.07/10.39 (((scott_ess_QML_mu) 64.07/10.39 = ((^[Y0 : qML_mu > qML_i > $o,Y1 : qML_mu,Y2 : qML_i]: 64.07/10.39 (((Y0 @ Y1 @ Y2) & 64.07/10.39 (((!!) @ (^[Y3 : qML_mu > qML_i > $o]: 64.07/10.39 (((Y3 @ Y1 @ Y2) => 64.07/10.39 (((!!) @ (^[Y4 : qML_i]: 64.07/10.39 (((!!) @ (^[Y5 : qML_mu]: 64.07/10.39 (((Y0 @ Y5 @ Y4) => 64.07/10.39 (Y3 @ Y5 @ Y4)))))))))))))))))))), 64.07/10.39 inference('cnf', [status(esa)], [fact_6_ess__def])). 64.07/10.39 thf(zip_derived_cl62, plain, 64.07/10.39 (![X2 : qML_mu > qML_i > $o, X3 : qML_mu, X4 : qML_i]: 64.07/10.39 ((scott_ess_QML_mu @ X2 @ X3 @ X4) 64.07/10.39 = ((^[Y0 : qML_mu > qML_i > $o,Y1 : qML_mu,Y2 : qML_i]: 64.07/10.39 (((Y0 @ Y1 @ Y2) & 64.07/10.39 (((!!) @ (^[Y3 : qML_mu > qML_i > $o]: 64.07/10.39 (((Y3 @ Y1 @ Y2) => 64.07/10.39 (((!!) @ (^[Y4 : qML_i]: 64.07/10.39 (((!!) @ (^[Y5 : qML_mu]: 64.07/10.39 (((Y0 @ Y5 @ Y4) => 64.07/10.39 (Y3 @ Y5 @ Y4))))))))))))))))) @ 64.07/10.39 X2 @ X3 @ X4))), 64.07/10.39 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl7])). 64.07/10.39 thf(zip_derived_cl63, plain, 64.07/10.39 (![X2 : qML_mu > qML_i > $o, X3 : qML_mu, X4 : qML_i]: 64.07/10.39 ((scott_ess_QML_mu @ X2 @ X3 @ X4) 64.07/10.39 = (((X2 @ X3 @ X4) & 64.07/10.39 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]: 64.07/10.39 (((Y0 @ X3 @ X4) => 64.07/10.39 (((!!) @ (^[Y1 : qML_i]: 64.07/10.39 (((!!) @ (^[Y2 : qML_mu]: 64.07/10.39 (((X2 @ Y2 @ Y1) => (Y0 @ 64.07/10.39 Y2 @ Y1)))))))))))))))))), 64.07/10.39 inference('ho_norm', [status(thm)], [zip_derived_cl62])). 64.07/10.39 thf(fact_4_A2, axiom, 64.07/10.39 (![W2:qML_i,X2:( qML_mu > qML_i > $o ),Xa:( qML_mu > qML_i > $o )]: 64.07/10.39 ( ( ( ![V:qML_i,Xb:qML_mu]: ( ( X2 @ Xb @ V ) => ( Xa @ Xb @ V ) ) ) & 64.07/10.39 ( scott_P @ X2 @ W2 ) ) => 64.07/10.39 ( scott_P @ Xa @ W2 ) ))). 64.07/10.39 thf(zip_derived_cl2, plain, 64.07/10.39 ( (((!!) @ (^[Y0 : qML_i]: 64.07/10.39 (((!!) @ (^[Y1 : qML_mu > qML_i > $o]: 64.07/10.39 (((!!) @ (^[Y2 : qML_mu > qML_i > $o]: 64.07/10.39 (((((((!!) @ (^[Y3 : qML_i]: 64.07/10.39 (((!!) @ (^[Y4 : qML_mu]: 64.07/10.39 (( 64.07/10.39 (Y1 @ 64.07/10.39 Y4 @ 64.07/10.39 Y3) => 64.07/10.39 (Y2 @ 64.07/10.39 Y4 @ Y3))))))))) & 64.07/10.39 (scott_P @ Y1 @ Y0))) => 64.07/10.39 (scott_P @ Y2 @ Y0))))))))))))), 64.07/10.39 inference('cnf', [status(esa)], [fact_4_A2])). 64.07/10.39 thf(zip_derived_cl64, plain, 64.07/10.39 (![X2 : qML_i]: 64.07/10.39 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]: 64.07/10.39 (((!!) @ (^[Y1 : qML_mu > qML_i > $o]: 64.07/10.39 (((((((!!) @ (^[Y2 : qML_i]: 64.07/10.39 (((!!) @ (^[Y3 : qML_mu]: 64.07/10.39 (((Y0 @ Y3 @ 64.07/10.39 Y2) => (Y1 @ 64.07/10.39 Y3 @ Y2))))))))) & 64.07/10.39 (scott_P @ Y0 @ X2))) => 64.07/10.39 (scott_P @ Y1 @ X2)))))))))), 64.07/10.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 64.07/10.39 thf(zip_derived_cl65, plain, 64.07/10.39 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]: 64.07/10.39 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]: 64.07/10.39 (((((((!!) @ (^[Y1 : qML_i]: 64.07/10.39 (((!!) @ (^[Y2 : qML_mu]: 64.07/10.39 (((X4 @ Y2 @ Y1) => (Y0 @ 64.07/10.39 Y2 @ Y1))))))))) & 64.07/10.39 (scott_P @ X4 @ X2))) => 64.07/10.39 (scott_P @ Y0 @ X2))))))), 64.07/10.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl64])). 64.07/10.39 thf(zip_derived_cl68, plain, 64.07/10.39 (![X0 : qML_i]: 64.07/10.39 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]: 64.07/10.39 (((((((!!) @ (^[Y1 : qML_i]: 64.07/10.39 (((!!) @ (^[Y2 : qML_mu]: 64.07/10.39 (((scott_NE_QML_mu @ Y2 @ 64.07/10.39 Y1) => (Y0 @ Y2 @ Y1))))))))) & 64.07/10.39 (scott_P @ scott_NE_QML_mu @ X0))) => 64.07/10.39 (scott_P @ Y0 @ X0))))))), 64.07/10.39 inference('triggered_bool_instantiation', [status(thm)], 64.07/10.39 [zip_derived_cl65])). 64.07/10.39 thf(zip_derived_cl97, plain, 64.07/10.39 (![X0 : qML_i, X2 : qML_mu > qML_i > $o]: 64.07/10.39 (((((((!!) @ (^[Y0 : qML_i]: 64.07/10.39 (((!!) @ (^[Y1 : qML_mu]: 64.07/10.39 (((scott_NE_QML_mu @ Y1 @ Y0) => (X2 @ 64.07/10.39 Y1 @ Y0))))))))) & 64.07/10.39 (scott_P @ scott_NE_QML_mu @ X0))) => 64.07/10.39 (scott_P @ X2 @ X0)))), 64.07/10.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl68])). 64.07/10.39 thf(zip_derived_cl98, plain, 64.07/10.39 (![X0 : qML_i, X1 : qML_mu > qML_i > $o]: 64.07/10.39 (((((((!!) @ (^[Y0 : qML_i]: 64.07/10.39 (((!!) @ (^[Y1 : qML_mu]: 64.07/10.39 (((scott_NE_QML_mu @ Y1 @ Y0) => 64.07/10.39 (((~) @ (X1 @ Y1 @ Y0))))))))))) & 64.07/10.39 (scott_P @ scott_NE_QML_mu @ X0))) => 64.07/10.39 (scott_P @ (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X1 @ Y0 @ Y1)))) @ 64.07/10.39 X0)))), 64.07/10.39 inference('triggered_bool_instantiation', [status(thm)], 64.07/10.39 [zip_derived_cl97])). 64.07/10.39 thf(fact_5_A5, axiom, (![X_1:qML_i]: ( scott_P @ scott_NE_QML_mu @ X_1 ))). 64.07/10.39 thf(zip_derived_cl1, plain, 64.07/10.39 ( (((!!) @ (^[Y0 : qML_i]: (scott_P @ scott_NE_QML_mu @ Y0))))), 64.07/10.39 inference('cnf', [status(esa)], [fact_5_A5])). 64.07/10.39 thf(zip_derived_cl10, plain, 64.07/10.39 (![X2 : qML_i]: (scott_P @ scott_NE_QML_mu @ X2)), 64.07/10.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 64.07/10.39 thf(zip_derived_cl124, plain, 64.07/10.39 (![X0 : qML_i, X1 : qML_mu > qML_i > $o]: 64.07/10.39 (((((((!!) @ (^[Y0 : qML_i]: 64.07/10.39 (((!!) @ (^[Y1 : qML_mu]: 64.07/10.39 (((scott_NE_QML_mu @ Y1 @ Y0) => 64.07/10.39 (((~) @ (X1 @ Y1 @ Y0))))))))))) & 64.07/10.39 ($true))) => 64.07/10.39 (scott_P @ (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X1 @ Y0 @ Y1)))) @ 64.07/10.39 X0)))), 64.07/10.39 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl10])). 64.07/10.39 thf(zip_derived_cl125, plain, 64.07/10.39 (![X0 : qML_i, X1 : qML_mu > qML_i > $o]: 64.07/10.39 (((((!!) @ (^[Y0 : qML_i]: 64.07/10.39 (((!!) @ (^[Y1 : qML_mu]: 64.07/10.39 (((scott_NE_QML_mu @ Y1 @ Y0) => 64.07/10.39 (((~) @ (X1 @ Y1 @ Y0))))))))))) => 64.07/10.39 (scott_P @ (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X1 @ Y0 @ Y1)))) @ 64.07/10.39 X0)))), 64.07/10.39 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl124])). 64.07/10.39 thf(zip_derived_cl126, plain, 64.07/10.39 (![X0 : qML_i, X1 : qML_mu > qML_i > $o]: 64.07/10.39 (~ (((!!) @ (^[Y0 : qML_i]: 64.07/10.39 (((!!) @ (^[Y1 : qML_mu]: 64.07/10.39 (((scott_NE_QML_mu @ Y1 @ Y0) => 64.07/10.39 (((~) @ (X1 @ Y1 @ Y0))))))))))) 64.07/10.39 | (scott_P @ 64.07/10.39 (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X1 @ Y0 @ Y1)))) @ X0))), 64.07/10.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl125])). 64.07/10.39 thf(zip_derived_cl127, plain, 64.07/10.39 (![X0 : qML_i, X1 : qML_mu > qML_i > $o]: 64.07/10.39 (~ (((!!) @ (^[Y0 : qML_mu]: 64.07/10.39 (((scott_NE_QML_mu @ Y0 @ 64.07/10.39 ('#sk301' @ X1 @ scott_NE_QML_mu)) => 64.07/10.39 (((~) @ (X1 @ Y0 @ ('#sk301' @ X1 @ scott_NE_QML_mu))))))))) 64.07/10.39 | (scott_P @ 64.07/10.39 (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X1 @ Y0 @ Y1)))) @ X0))), 64.07/10.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl126])). 64.07/10.39 thf(zip_derived_cl128, plain, 64.07/10.39 (![X0 : qML_i, X1 : qML_mu > qML_i > $o]: 64.07/10.39 (~ (((scott_NE_QML_mu @ ('#sk316' @ X1 @ scott_NE_QML_mu) @ 64.07/10.39 ('#sk301' @ X1 @ scott_NE_QML_mu)) => 64.07/10.39 (((~) @ (X1 @ ('#sk316' @ X1 @ scott_NE_QML_mu) @ 64.07/10.39 ('#sk301' @ X1 @ scott_NE_QML_mu)))))) 64.07/10.39 | (scott_P @ 64.07/10.39 (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X1 @ Y0 @ Y1)))) @ X0))), 64.07/10.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl127])). 64.07/10.39 thf(zip_derived_cl129, plain, 64.07/10.39 (![X0 : qML_i, X1 : qML_mu > qML_i > $o]: 64.07/10.39 ( (scott_NE_QML_mu @ ('#sk316' @ X1 @ scott_NE_QML_mu) @ 64.07/10.39 ('#sk301' @ X1 @ scott_NE_QML_mu)) 64.07/10.39 | (scott_P @ 64.07/10.39 (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X1 @ Y0 @ Y1)))) @ X0))), 64.07/10.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl128])). 64.07/10.39 thf(zip_derived_cl2306, plain, 64.07/10.39 (![X4 : qML_mu > qML_i > $o, X5 : qML_mu, X6 : qML_i]: 64.07/10.39 (('#l_lift8994' @ X4 @ X5 @ X6) = (((~) @ (X4 @ X5 @ X6))))), 64.07/10.39 define([status(thm)])). 64.07/10.39 thf(zip_derived_cl2316, plain, 64.07/10.39 (![X0 : qML_i, X1 : qML_mu > qML_i > $o]: 64.07/10.39 ( (scott_NE_QML_mu @ ('#sk316' @ X1 @ scott_NE_QML_mu) @ 64.07/10.39 ('#sk301' @ X1 @ scott_NE_QML_mu)) 64.07/10.39 | (scott_P @ ('#l_lift8994' @ X1) @ X0))), 64.07/10.39 inference('lambda_lifting', [status(thm)], 64.07/10.39 [zip_derived_cl129, zip_derived_cl2306])). 64.07/10.39 thf(zip_derived_cl130, plain, 64.07/10.39 (![X0 : qML_i, X1 : qML_mu > qML_i > $o]: 64.07/10.39 ( (X1 @ ('#sk316' @ X1 @ scott_NE_QML_mu) @ 64.07/10.39 ('#sk301' @ X1 @ scott_NE_QML_mu)) 64.07/10.39 | (scott_P @ 64.07/10.39 (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X1 @ Y0 @ Y1)))) @ X0))), 64.07/10.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl128])). 64.07/10.39 thf(zip_derived_cl2306, plain, 64.07/10.39 (![X4 : qML_mu > qML_i > $o, X5 : qML_mu, X6 : qML_i]: 64.07/10.39 (('#l_lift8994' @ X4 @ X5 @ X6) = (((~) @ (X4 @ X5 @ X6))))), 64.07/10.39 define([status(thm)])). 64.07/10.39 thf(zip_derived_cl2317, plain, 64.07/10.39 (![X0 : qML_i, X1 : qML_mu > qML_i > $o]: 64.07/10.39 ( (X1 @ ('#sk316' @ X1 @ scott_NE_QML_mu) @ 64.07/10.39 ('#sk301' @ X1 @ scott_NE_QML_mu)) 64.07/10.39 | (scott_P @ ('#l_lift8994' @ X1) @ X0))), 64.07/10.39 inference('lambda_lifting', [status(thm)], 64.07/10.39 [zip_derived_cl130, zip_derived_cl2306])). 64.07/10.39 thf(fact_8_NE__def, axiom, 64.07/10.39 (( scott_NE_QML_mu ) = 64.07/10.39 ( ^[X:qML_mu,W:qML_i]: 64.07/10.39 ( ![Y:( qML_mu > qML_i > $o )]: 64.07/10.39 ( ( scott_ess_QML_mu @ Y @ X @ W ) => 64.07/10.39 ( ![V2:qML_i]: ( ?[Z:qML_mu]: ( Y @ Z @ V2 ) ) ) ) ) ))). 64.07/10.39 thf(zip_derived_cl4, plain, 64.07/10.39 (((scott_NE_QML_mu) 64.07/10.39 = ((^[Y0 : qML_mu,Y1 : qML_i]: 64.07/10.39 (((!!) @ (^[Y2 : qML_mu > qML_i > $o]: 64.07/10.39 (((scott_ess_QML_mu @ Y2 @ Y0 @ Y1) => 64.07/10.39 (((!!) @ (^[Y3 : qML_i]: 64.07/10.39 (((??) @ (^[Y4 : qML_mu]: 64.07/10.39 (Y2 @ Y4 @ Y3)))))))))))))))), 64.07/10.39 inference('cnf', [status(esa)], [fact_8_NE__def])). 64.07/10.39 thf(zip_derived_cl20, plain, 64.07/10.39 (![X2 : qML_mu, X3 : qML_i]: 64.07/10.39 ((scott_NE_QML_mu @ X2 @ X3) 64.07/10.39 = ((^[Y0 : qML_mu,Y1 : qML_i]: 64.07/10.39 (((!!) @ (^[Y2 : qML_mu > qML_i > $o]: 64.07/10.39 (((scott_ess_QML_mu @ Y2 @ Y0 @ Y1) => 64.07/10.39 (((!!) @ (^[Y3 : qML_i]: 64.07/10.39 (((??) @ (^[Y4 : qML_mu]: 64.07/10.39 (Y2 @ Y4 @ Y3))))))))))))) @ 64.07/10.39 X2 @ X3))), 64.07/10.39 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl4])). 64.07/10.39 thf(zip_derived_cl21, plain, 64.07/10.39 (![X2 : qML_mu, X3 : qML_i]: 64.07/10.39 ((scott_NE_QML_mu @ X2 @ X3) 64.07/10.39 = (((!!) @ (^[Y0 : qML_mu > qML_i > $o]: 64.07/10.39 (((scott_ess_QML_mu @ Y0 @ X2 @ X3) => 64.07/10.39 (((!!) @ (^[Y1 : qML_i]: 64.07/10.39 (((??) @ (^[Y2 : qML_mu]: (Y0 @ Y2 @ Y1)))))))))))))), 64.07/10.39 inference('ho_norm', [status(thm)], [zip_derived_cl20])). 64.07/10.39 thf(conj_0, conjecture, 64.07/10.39 (![W3:qML_i,V:qML_i]: ( ?[X2:qML_mu]: ( scott_G @ X2 @ V ) ))). 64.07/10.39 thf(zf_stmt_0, negated_conjecture, 64.07/10.39 (~( ![W3:qML_i,V:qML_i]: ( ?[X2:qML_mu]: ( scott_G @ X2 @ V ) ) )), 64.07/10.39 inference('cnf.neg', [status(esa)], [conj_0])). 64.07/10.39 thf(zip_derived_cl3, plain, 64.07/10.39 (~ (((!!) @ (^[Y0 : qML_i]: 64.07/10.39 (((!!) @ (^[Y1 : qML_i]: 64.07/10.39 (((??) @ (^[Y2 : qML_mu]: (scott_G @ Y2 @ Y1))))))))))), 64.07/10.39 inference('cnf', [status(esa)], [zf_stmt_0])). 64.07/10.39 thf(zip_derived_cl46, plain, 64.07/10.39 (~ (((!!) @ (^[Y0 : qML_i]: 64.07/10.39 (((??) @ (^[Y1 : qML_mu]: (scott_G @ Y1 @ Y0)))))))), 64.07/10.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 64.07/10.39 thf(zip_derived_cl47, plain, 64.07/10.39 (~ (((??) @ (^[Y0 : qML_mu]: (scott_G @ Y0 @ '#sk46'))))), 64.07/10.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl46])). 64.07/10.39 thf(zip_derived_cl48, plain, (![X2 : qML_mu]: ~ (scott_G @ X2 @ '#sk46')), 64.07/10.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl47])). 64.07/10.39 thf(fact_1_A3, axiom, (![X_1:qML_i]: ( scott_P @ scott_G @ X_1 ))). 64.07/10.39 thf(zip_derived_cl9, plain, 64.07/10.39 ( (((!!) @ (^[Y0 : qML_i]: (scott_P @ scott_G @ Y0))))), 64.07/10.39 inference('cnf', [status(esa)], [fact_1_A3])). 64.07/10.39 thf(zip_derived_cl11, plain, (![X2 : qML_i]: (scott_P @ scott_G @ X2)), 64.07/10.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 64.07/10.39 thf(zip_derived_cl65, plain, 64.07/10.39 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]: 64.07/10.39 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]: 64.07/10.39 (((((((!!) @ (^[Y1 : qML_i]: 64.07/10.39 (((!!) @ (^[Y2 : qML_mu]: 64.07/10.39 (((X4 @ Y2 @ Y1) => (Y0 @ 64.07/10.39 Y2 @ Y1))))))))) & 64.07/10.39 (scott_P @ X4 @ X2))) => 64.07/10.39 (scott_P @ Y0 @ X2))))))), 64.07/10.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl64])). 64.07/10.39 thf(zip_derived_cl67, plain, 64.07/10.39 (![X0 : qML_i]: 64.07/10.39 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]: 64.07/10.39 (((((((!!) @ (^[Y1 : qML_i]: 64.07/10.39 (((!!) @ (^[Y2 : qML_mu]: 64.07/10.39 (((scott_G @ Y2 @ Y1) => 64.07/10.39 (Y0 @ Y2 @ Y1))))))))) & 64.07/10.39 (scott_P @ scott_G @ X0))) => 64.07/10.39 (scott_P @ Y0 @ X0))))))), 64.07/10.39 inference('triggered_bool_instantiation', [status(thm)], 64.07/10.39 [zip_derived_cl65])). 64.07/10.39 thf(zip_derived_cl83, plain, 64.07/10.39 (![X0 : qML_i, X2 : qML_mu > qML_i > $o]: 64.07/10.39 (((((((!!) @ (^[Y0 : qML_i]: 64.07/10.39 (((!!) @ (^[Y1 : qML_mu]: 64.07/10.39 (((scott_G @ Y1 @ Y0) => (X2 @ Y1 @ Y0))))))))) & 64.07/10.39 (scott_P @ scott_G @ X0))) => 64.07/10.39 (scott_P @ X2 @ X0)))), 64.07/10.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl67])). 64.07/10.39 thf(zip_derived_cl11, plain, (![X2 : qML_i]: (scott_P @ scott_G @ X2)), 64.07/10.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 64.07/10.39 thf(zip_derived_cl87, plain, 64.07/10.39 (![X0 : qML_i, X2 : qML_mu > qML_i > $o]: 64.07/10.39 (((((((!!) @ (^[Y0 : qML_i]: 64.07/10.39 (((!!) @ (^[Y1 : qML_mu]: 64.07/10.39 (((scott_G @ Y1 @ Y0) => (X2 @ Y1 @ Y0))))))))) & 64.07/10.39 ($true))) => 64.07/10.39 (scott_P @ X2 @ X0)))), 64.07/10.39 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl11])). 64.07/10.39 thf(zip_derived_cl88, plain, 64.07/10.39 (![X0 : qML_i, X2 : qML_mu > qML_i > $o]: 64.07/10.39 (((((!!) @ (^[Y0 : qML_i]: 64.07/10.39 (((!!) @ (^[Y1 : qML_mu]: 64.07/10.39 (((scott_G @ Y1 @ Y0) => (X2 @ Y1 @ Y0))))))))) => 64.07/10.39 (scott_P @ X2 @ X0)))), 64.07/10.39 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl87])). 64.07/10.39 thf(zip_derived_cl89, plain, 64.07/10.39 (![X0 : qML_i, X2 : qML_mu > qML_i > $o]: 64.07/10.39 (~ (((!!) @ (^[Y0 : qML_i]: 64.07/10.39 (((!!) @ (^[Y1 : qML_mu]: 64.07/10.39 (((scott_G @ Y1 @ Y0) => (X2 @ Y1 @ Y0))))))))) 64.07/10.39 | (scott_P @ X2 @ X0))), 64.07/10.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl88])). 64.07/10.39 thf(zip_derived_cl90, plain, 64.07/10.39 (![X0 : qML_i, X2 : qML_mu > qML_i > $o]: 64.07/10.39 (~ (((!!) @ (^[Y0 : qML_mu]: 64.07/10.39 (((scott_G @ Y0 @ ('#sk103' @ scott_G @ X2)) => (X2 @ 64.07/10.39 Y0 @ ('#sk103' @ scott_G @ X2))))))) 64.07/10.39 | (scott_P @ X2 @ X0))), 64.07/10.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl89])). 64.07/10.39 thf(zip_derived_cl91, plain, 64.07/10.39 (![X0 : qML_i, X2 : qML_mu > qML_i > $o]: 64.07/10.39 (~ (((scott_G @ ('#sk118' @ scott_G @ X2) @ 64.07/10.39 ('#sk103' @ scott_G @ X2)) => (X2 @ ('#sk118' @ scott_G @ X2) @ 64.07/10.39 ('#sk103' @ scott_G @ X2)))) 64.07/10.39 | (scott_P @ X2 @ X0))), 64.07/10.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl90])). 64.07/10.39 thf(zip_derived_cl93, plain, 64.07/10.39 (![X0 : qML_i, X2 : qML_mu > qML_i > $o]: 64.07/10.39 (~ (X2 @ ('#sk118' @ scott_G @ X2) @ ('#sk103' @ scott_G @ X2)) 64.07/10.39 | (scott_P @ X2 @ X0))), 64.07/10.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])). 64.07/10.39 thf(zip_derived_cl26, plain, 64.07/10.39 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]: 64.07/10.39 (~ (scott_P @ (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X4 @ Y0 @ Y1)))) @ 64.07/10.39 X2) 64.07/10.39 | ~ (scott_P @ X4 @ X2))), 64.07/10.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 64.07/10.39 thf(zip_derived_cl2306, plain, 64.07/10.39 (![X4 : qML_mu > qML_i > $o, X5 : qML_mu, X6 : qML_i]: 64.07/10.39 (('#l_lift8994' @ X4 @ X5 @ X6) = (((~) @ (X4 @ X5 @ X6))))), 64.07/10.39 define([status(thm)])). 64.07/10.39 thf(zip_derived_cl2307, plain, 64.07/10.39 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]: 64.07/10.39 (~ (scott_P @ ('#l_lift8994' @ X4) @ X2) | ~ (scott_P @ X4 @ X2))), 64.07/10.39 inference('lambda_lifting', [status(thm)], 64.07/10.39 [zip_derived_cl26, zip_derived_cl2306])). 64.07/10.39 thf(zip_derived_cl2306, plain, 64.07/10.39 (![X4 : qML_mu > qML_i > $o, X5 : qML_mu, X6 : qML_i]: 64.07/10.39 (('#l_lift8994' @ X4 @ X5 @ X6) = (((~) @ (X4 @ X5 @ X6))))), 64.07/10.39 define([status(thm)])). 64.07/10.39 thf(zip_derived_cl63, plain, 64.07/10.39 (![X2 : qML_mu > qML_i > $o, X3 : qML_mu, X4 : qML_i]: 64.07/10.39 ((scott_ess_QML_mu @ X2 @ X3 @ X4) 64.07/10.39 = (((X2 @ X3 @ X4) & 64.07/10.39 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]: 64.07/10.39 (((Y0 @ X3 @ X4) => 64.07/10.39 (((!!) @ (^[Y1 : qML_i]: 64.07/10.39 (((!!) @ (^[Y2 : qML_mu]: 64.07/10.39 (((X2 @ Y2 @ Y1) => (Y0 @ 64.07/10.39 Y2 @ Y1)))))))))))))))))), 64.07/10.39 inference('ho_norm', [status(thm)], [zip_derived_cl62])). 64.07/10.39 thf(zip_derived_cl223, plain, 64.07/10.39 (![X2 : qML_mu > qML_i > $o, X3 : qML_mu, X4 : qML_i]: 64.07/10.39 (~ (scott_ess_QML_mu @ X2 @ X3 @ X4) 64.07/10.39 | (((X2 @ X3 @ X4) & 64.07/10.39 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]: 64.07/10.39 (((Y0 @ X3 @ X4) => 64.07/10.39 (((!!) @ (^[Y1 : qML_i]: 64.07/10.39 (((!!) @ (^[Y2 : qML_mu]: 64.07/10.39 (((X2 @ Y2 @ Y1) => (Y0 @ 64.07/10.39 Y2 @ Y1)))))))))))))))))), 64.07/10.39 inference('eq_elim', [status(thm)], [zip_derived_cl63])). 64.07/10.39 thf(zip_derived_cl464, plain, 64.07/10.39 (![X2 : qML_mu > qML_i > $o, X3 : qML_mu, X4 : qML_i]: 64.07/10.39 ( (X2 @ X3 @ X4) | ~ (scott_ess_QML_mu @ X2 @ X3 @ X4))), 64.07/10.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl223])). 64.07/10.39 thf(zip_derived_cl503, plain, 64.07/10.39 (![X0 : qML_i, X1 : qML_mu]: 64.07/10.39 (~ (scott_ess_QML_mu @ (^[Y0 : qML_mu,Y1 : qML_i]: ($false)) @ X1 @ X0) 64.07/10.39 | ~ (scott_ess_QML_mu @ (^[Y0 : qML_mu,Y1 : qML_i]: ($false)) @ X1 @ 64.07/10.39 X0))), 64.07/10.39 inference('eq_fact', [status(thm)], [zip_derived_cl464])). 64.07/10.39 thf(zip_derived_cl504, plain, 64.07/10.39 (![X0 : qML_i, X1 : qML_mu]: 64.07/10.39 ~ (scott_ess_QML_mu @ (^[Y0 : qML_mu,Y1 : qML_i]: ($false)) @ X1 @ X0)), 64.07/10.39 inference('simplify', [status(thm)], [zip_derived_cl503])). 64.07/10.39 thf(zip_derived_cl2322, plain, 64.07/10.39 (![X2 : qML_mu, X3 : qML_i]: ~ ('#l_lift8995' @ X2 @ X3)), 64.07/10.39 define([status(thm)])). 64.07/10.39 thf(zip_derived_cl2336, plain, ($false), 64.07/10.39 inference('eprover', [status(thm)], 64.07/10.39 [zip_derived_cl2334, zip_derived_cl19, zip_derived_cl63, 64.07/10.39 zip_derived_cl2316, zip_derived_cl2317, zip_derived_cl21, 64.07/10.39 zip_derived_cl48, zip_derived_cl11, zip_derived_cl93, 64.07/10.39 zip_derived_cl2307, zip_derived_cl2306, zip_derived_cl2322])). 64.07/10.39 64.07/10.39 % SZS output end Refutation 64.07/10.39 64.07/10.39 64.07/10.39 % Terminating... 64.07/10.47 % Runner terminated. 64.07/10.50 % Zipperpin 1.5 exiting 64.07/10.52 EOF