0.02/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YaNo8TF7XX true 0.14/0.36 % Computer : n024.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1920 0.14/0.36 % WCLimit : 240 0.14/0.36 % DateTime : Wed Jul 30 06:49:34 EDT 2025 0.14/0.36 % CPUTime : 0.14/0.36 % Running portfolio for 1920 s 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.36 % Number of cores: 8 0.22/0.36 % Python version: Python 3.6.8 0.22/0.37 % Running in HO mode 0.56/0.67 % Total configuration time : 828 0.56/0.67 % Estimated wc time : 1656 0.56/0.67 % Estimated cpu time (8 cpus) : 207.0 0.56/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.57/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.57/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.57/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 37.07/5.35 % Solved by lams/30_sp5.sh. 37.07/5.35 % done 476 iterations in 4.521s 37.07/5.35 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 37.07/5.35 % SZS output start Refutation 37.07/5.35 thf(a_type, type, a: $tType). 37.07/5.35 thf(modula17988509_aux_a_type, type, modula17988509_aux_a: (a > a > a) > 37.07/5.35 (a > a > a) > a > 37.07/5.35 a > a > a). 37.07/5.35 thf(a2_type, type, a2: a). 37.07/5.35 thf(modula1936294176_aux_a_type, type, modula1936294176_aux_a: (a > a > a) > 37.07/5.35 (a > a > a) > 37.07/5.35 a > a > a > a). 37.07/5.35 thf(modula581031071_aux_a_type, type, modula581031071_aux_a: (a > a > a) > 37.07/5.35 (a > a > a) > 37.07/5.35 a > a > a > a). 37.07/5.35 thf(b_type, type, b: a). 37.07/5.35 thf(less_eq_type, type, less_eq: a > a > $o). 37.07/5.35 thf(sup_type, type, sup: a > a > a). 37.07/5.35 thf(c_type, type, c: a). 37.07/5.35 thf(modula1144073633_aux_a_type, type, modula1144073633_aux_a: (a > a > a) > 37.07/5.35 (a > a > a) > 37.07/5.35 a > a > a > a). 37.07/5.35 thf(inf_type, type, inf: a > a > a). 37.07/5.35 thf(modula1373251614_aux_a_type, type, modula1373251614_aux_a: (a > a > a) > 37.07/5.35 (a > a > a) > 37.07/5.35 a > a > a > a). 37.07/5.35 thf(fact_142_b__join__c__eq__e, axiom, 37.07/5.35 (![A:a,B:a,C:a]: 37.07/5.35 ( ( less_eq @ 37.07/5.35 ( modula1936294176_aux_a @ inf @ sup @ A @ B @ C ) @ 37.07/5.35 ( modula1144073633_aux_a @ inf @ sup @ A @ B @ C ) ) => 37.07/5.35 ( ( sup @ 37.07/5.35 ( modula1373251614_aux_a @ inf @ sup @ A @ B @ C ) @ 37.07/5.35 ( modula581031071_aux_a @ inf @ sup @ A @ B @ C ) ) = 37.07/5.35 ( modula1144073633_aux_a @ inf @ sup @ A @ B @ C ) ) ))). 37.07/5.35 thf(zip_derived_cl109, plain, 37.07/5.35 ( (((!!) @ (^[Y0 : a]: 37.07/5.35 (((!!) @ (^[Y1 : a]: 37.07/5.35 (((!!) @ (^[Y2 : a]: 37.07/5.35 (((less_eq @ 37.07/5.35 (modula1936294176_aux_a @ inf @ 37.07/5.35 sup @ Y0 @ Y1 @ Y2) @ 37.07/5.35 (modula1144073633_aux_a @ inf @ 37.07/5.35 sup @ Y0 @ Y1 @ Y2)) => 37.07/5.35 (((sup @ 37.07/5.35 (modula1373251614_aux_a @ 37.07/5.35 inf @ sup @ Y0 @ Y1 @ Y2) @ 37.07/5.35 (modula581031071_aux_a @ inf @ 37.07/5.35 sup @ Y0 @ Y1 @ Y2)) = 37.07/5.35 (modula1144073633_aux_a @ 37.07/5.35 inf @ sup @ Y0 @ Y1 @ Y2))))))))))))))), 37.07/5.35 inference('cnf', [status(esa)], [fact_142_b__join__c__eq__e])). 37.07/5.35 thf(zip_derived_cl627, plain, 37.07/5.35 (![X2 : a]: 37.07/5.35 (((!!) @ (^[Y0 : a]: 37.07/5.35 (((!!) @ (^[Y1 : a]: 37.07/5.35 (((less_eq @ 37.07/5.35 (modula1936294176_aux_a @ inf @ sup @ X2 @ 37.07/5.35 Y0 @ Y1) @ 37.07/5.35 (modula1144073633_aux_a @ inf @ sup @ X2 @ 37.07/5.35 Y0 @ Y1)) => 37.07/5.35 (((sup @ 37.07/5.35 (modula1373251614_aux_a @ inf @ sup @ 37.07/5.35 X2 @ Y0 @ Y1) @ 37.07/5.35 (modula581031071_aux_a @ inf @ sup @ 37.07/5.35 X2 @ Y0 @ Y1)) = 37.07/5.35 (modula1144073633_aux_a @ inf @ sup @ 37.07/5.35 X2 @ Y0 @ Y1)))))))))))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl109])). 37.07/5.35 thf(zip_derived_cl628, plain, 37.07/5.35 (![X2 : a, X4 : a]: 37.07/5.35 (((!!) @ (^[Y0 : a]: 37.07/5.35 (((less_eq @ 37.07/5.35 (modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ Y0) @ 37.07/5.35 (modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ Y0)) => 37.07/5.35 (((sup @ 37.07/5.35 (modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ Y0) @ 37.07/5.35 (modula581031071_aux_a @ inf @ sup @ X2 @ X4 @ Y0)) = 37.07/5.35 (modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ Y0))))))))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl627])). 37.07/5.35 thf(zip_derived_cl629, plain, 37.07/5.35 (![X2 : a, X4 : a, X6 : a]: 37.07/5.35 (((less_eq @ (modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ X6) @ 37.07/5.35 (modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6)) => 37.07/5.35 (((sup @ (modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ X6) @ 37.07/5.35 (modula581031071_aux_a @ inf @ sup @ X2 @ X4 @ X6)) = 37.07/5.35 (modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6)))))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl628])). 37.07/5.35 thf(fact_128_local_Oc__a, axiom, 37.07/5.35 (![A:a,B:a,C:a]: 37.07/5.35 ( ( modula581031071_aux_a @ inf @ sup @ A @ B @ C ) = 37.07/5.35 ( modula17988509_aux_a @ inf @ sup @ C @ A @ B ) ))). 37.07/5.35 thf(zip_derived_cl122, plain, 37.07/5.35 ( (((!!) @ (^[Y0 : a]: 37.07/5.35 (((!!) @ (^[Y1 : a]: 37.07/5.35 (((!!) @ (^[Y2 : a]: 37.07/5.35 (((modula581031071_aux_a @ inf @ 37.07/5.35 sup @ Y0 @ Y1 @ Y2) = 37.07/5.35 (modula17988509_aux_a @ inf @ 37.07/5.35 sup @ Y2 @ Y0 @ Y1))))))))))))), 37.07/5.35 inference('cnf', [status(esa)], [fact_128_local_Oc__a])). 37.07/5.35 thf(zip_derived_cl425, plain, 37.07/5.35 (![X2 : a]: 37.07/5.35 (((!!) @ (^[Y0 : a]: 37.07/5.35 (((!!) @ (^[Y1 : a]: 37.07/5.35 (((modula581031071_aux_a @ inf @ sup @ X2 @ 37.07/5.35 Y0 @ Y1) = (modula17988509_aux_a @ inf @ 37.07/5.35 sup @ Y1 @ X2 @ Y0)))))))))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl122])). 37.07/5.35 thf(zip_derived_cl426, plain, 37.07/5.35 (![X2 : a, X4 : a]: 37.07/5.35 (((!!) @ (^[Y0 : a]: 37.07/5.35 (((modula581031071_aux_a @ inf @ sup @ X2 @ X4 @ Y0) = 37.07/5.35 (modula17988509_aux_a @ inf @ sup @ Y0 @ X2 @ X4))))))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl425])). 37.07/5.35 thf(zip_derived_cl427, plain, 37.07/5.35 (![X2 : a, X4 : a, X6 : a]: 37.07/5.35 (((modula581031071_aux_a @ inf @ sup @ X2 @ X4 @ X6) = 37.07/5.35 (modula17988509_aux_a @ inf @ sup @ X6 @ X2 @ X4)))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl426])). 37.07/5.35 thf(zip_derived_cl428, plain, 37.07/5.35 (![X2 : a, X4 : a, X6 : a]: 37.07/5.35 ((modula581031071_aux_a @ inf @ sup @ X2 @ X4 @ X6) 37.07/5.35 = (modula17988509_aux_a @ inf @ sup @ X6 @ X2 @ X4))), 37.07/5.35 inference('simplify nested equalities', [status(thm)], 37.07/5.35 [zip_derived_cl427])). 37.07/5.35 thf(fact_132_local_Ob__a, axiom, 37.07/5.35 (![A:a,B:a,C:a]: 37.07/5.35 ( ( modula1373251614_aux_a @ inf @ sup @ A @ B @ C ) = 37.07/5.35 ( modula17988509_aux_a @ inf @ sup @ B @ C @ A ) ))). 37.07/5.35 thf(zip_derived_cl76, plain, 37.07/5.35 ( (((!!) @ (^[Y0 : a]: 37.07/5.35 (((!!) @ (^[Y1 : a]: 37.07/5.35 (((!!) @ (^[Y2 : a]: 37.07/5.35 (((modula1373251614_aux_a @ inf @ 37.07/5.35 sup @ Y0 @ Y1 @ Y2) = 37.07/5.35 (modula17988509_aux_a @ inf @ 37.07/5.35 sup @ Y1 @ Y2 @ Y0))))))))))))), 37.07/5.35 inference('cnf', [status(esa)], [fact_132_local_Ob__a])). 37.07/5.35 thf(zip_derived_cl419, plain, 37.07/5.35 (![X2 : a]: 37.07/5.35 (((!!) @ (^[Y0 : a]: 37.07/5.35 (((!!) @ (^[Y1 : a]: 37.07/5.35 (((modula1373251614_aux_a @ inf @ sup @ X2 @ 37.07/5.35 Y0 @ Y1) = (modula17988509_aux_a @ inf @ 37.07/5.35 sup @ Y0 @ Y1 @ X2)))))))))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl76])). 37.07/5.35 thf(zip_derived_cl420, plain, 37.07/5.35 (![X2 : a, X4 : a]: 37.07/5.35 (((!!) @ (^[Y0 : a]: 37.07/5.35 (((modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ Y0) = 37.07/5.35 (modula17988509_aux_a @ inf @ sup @ X4 @ Y0 @ X2))))))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl419])). 37.07/5.35 thf(zip_derived_cl421, plain, 37.07/5.35 (![X2 : a, X4 : a, X6 : a]: 37.07/5.35 (((modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ X6) = 37.07/5.35 (modula17988509_aux_a @ inf @ sup @ X4 @ X6 @ X2)))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl420])). 37.07/5.35 thf(zip_derived_cl422, plain, 37.07/5.35 (![X2 : a, X4 : a, X6 : a]: 37.07/5.35 ((modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ X6) 37.07/5.35 = (modula17988509_aux_a @ inf @ sup @ X4 @ X6 @ X2))), 37.07/5.35 inference('simplify nested equalities', [status(thm)], 37.07/5.35 [zip_derived_cl421])). 37.07/5.35 thf(zip_derived_cl429, plain, 37.07/5.35 (![X2 : a, X4 : a, X6 : a]: 37.07/5.35 ((modula581031071_aux_a @ inf @ sup @ X2 @ X4 @ X6) 37.07/5.35 = (modula1373251614_aux_a @ inf @ sup @ X4 @ X6 @ X2))), 37.07/5.35 inference('demod', [status(thm)], [zip_derived_cl428, zip_derived_cl422])). 37.07/5.35 thf(zip_derived_cl630, plain, 37.07/5.35 (![X2 : a, X4 : a, X6 : a]: 37.07/5.35 (((less_eq @ (modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ X6) @ 37.07/5.35 (modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6)) => 37.07/5.35 (((sup @ (modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ X6) @ 37.07/5.35 (modula1373251614_aux_a @ inf @ sup @ X4 @ X6 @ X2)) = 37.07/5.35 (modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6)))))), 37.07/5.35 inference('demod', [status(thm)], [zip_derived_cl629, zip_derived_cl429])). 37.07/5.35 thf(zip_derived_cl631, plain, 37.07/5.35 (![X2 : a, X4 : a, X6 : a]: 37.07/5.35 (~ (less_eq @ (modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ X6) @ 37.07/5.35 (modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6)) 37.07/5.35 | (((sup @ (modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ X6) @ 37.07/5.35 (modula1373251614_aux_a @ inf @ sup @ X4 @ X6 @ X2)) = 37.07/5.35 (modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6))))), 37.07/5.35 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl630])). 37.07/5.35 thf(zip_derived_cl632, plain, 37.07/5.35 (![X2 : a, X4 : a, X6 : a]: 37.07/5.35 (~ (less_eq @ (modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ X6) @ 37.07/5.35 (modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6)) 37.07/5.35 | ((sup @ (modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ X6) @ 37.07/5.35 (modula1373251614_aux_a @ inf @ sup @ X4 @ X6 @ X2)) 37.07/5.35 = (modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6)))), 37.07/5.35 inference('simplify nested equalities', [status(thm)], 37.07/5.35 [zip_derived_cl631])). 37.07/5.35 thf(conj_1, conjecture, 37.07/5.35 (( sup @ 37.07/5.35 ( modula17988509_aux_a @ inf @ sup @ c @ a2 @ b ) @ 37.07/5.35 ( modula17988509_aux_a @ inf @ sup @ a2 @ b @ c ) ) = 37.07/5.35 ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ))). 37.07/5.35 thf(zf_stmt_0, negated_conjecture, 37.07/5.35 (( sup @ 37.07/5.35 ( modula17988509_aux_a @ inf @ sup @ c @ a2 @ b ) @ 37.07/5.35 ( modula17988509_aux_a @ inf @ sup @ a2 @ b @ c ) ) != 37.07/5.35 ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c )), 37.07/5.35 inference('cnf.neg', [status(esa)], [conj_1])). 37.07/5.35 thf(zip_derived_cl133, plain, 37.07/5.35 (((sup @ (modula17988509_aux_a @ inf @ sup @ c @ a2 @ b) @ 37.07/5.35 (modula17988509_aux_a @ inf @ sup @ a2 @ b @ c)) 37.07/5.35 != (modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c))), 37.07/5.35 inference('cnf', [status(esa)], [zf_stmt_0])). 37.07/5.35 thf(fact_23_local_Osup__commute, axiom, 37.07/5.35 (![X:a,Y:a]: ( ( sup @ X @ Y ) = ( sup @ Y @ X ) ))). 37.07/5.35 thf(zip_derived_cl15, plain, 37.07/5.35 ( (((!!) @ (^[Y0 : a]: 37.07/5.35 (((!!) @ (^[Y1 : a]: (((sup @ Y0 @ Y1) = (sup @ Y1 @ Y0)))))))))), 37.07/5.35 inference('cnf', [status(esa)], [fact_23_local_Osup__commute])). 37.07/5.35 thf(zip_derived_cl174, plain, 37.07/5.35 (![X2 : a]: 37.07/5.35 (((!!) @ (^[Y0 : a]: (((sup @ X2 @ Y0) = (sup @ Y0 @ X2))))))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])). 37.07/5.35 thf(zip_derived_cl175, plain, 37.07/5.35 (![X2 : a, X4 : a]: (((sup @ X2 @ X4) = (sup @ X4 @ X2)))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl174])). 37.07/5.35 thf(zip_derived_cl176, plain, 37.07/5.35 (![X2 : a, X4 : a]: ((sup @ X2 @ X4) = (sup @ X4 @ X2))), 37.07/5.35 inference('simplify nested equalities', [status(thm)], 37.07/5.35 [zip_derived_cl175])). 37.07/5.35 thf(zip_derived_cl177, plain, 37.07/5.35 (((sup @ (modula17988509_aux_a @ inf @ sup @ a2 @ b @ c) @ 37.07/5.35 (modula17988509_aux_a @ inf @ sup @ c @ a2 @ b)) 37.07/5.35 != (modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c))), 37.07/5.35 inference('demod', [status(thm)], [zip_derived_cl133, zip_derived_cl176])). 37.07/5.35 thf(zip_derived_cl422, plain, 37.07/5.35 (![X2 : a, X4 : a, X6 : a]: 37.07/5.35 ((modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ X6) 37.07/5.35 = (modula17988509_aux_a @ inf @ sup @ X4 @ X6 @ X2))), 37.07/5.35 inference('simplify nested equalities', [status(thm)], 37.07/5.35 [zip_derived_cl421])). 37.07/5.35 thf(zip_derived_cl422, plain, 37.07/5.35 (![X2 : a, X4 : a, X6 : a]: 37.07/5.35 ((modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ X6) 37.07/5.35 = (modula17988509_aux_a @ inf @ sup @ X4 @ X6 @ X2))), 37.07/5.35 inference('simplify nested equalities', [status(thm)], 37.07/5.35 [zip_derived_cl421])). 37.07/5.35 thf(zip_derived_cl176, plain, 37.07/5.35 (![X2 : a, X4 : a]: ((sup @ X2 @ X4) = (sup @ X4 @ X2))), 37.07/5.35 inference('simplify nested equalities', [status(thm)], 37.07/5.35 [zip_derived_cl175])). 37.07/5.35 thf(zip_derived_cl423, plain, 37.07/5.35 (((sup @ (modula1373251614_aux_a @ inf @ sup @ b @ c @ a2) @ 37.07/5.35 (modula1373251614_aux_a @ inf @ sup @ c @ a2 @ b)) 37.07/5.35 != (modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c))), 37.07/5.35 inference('demod', [status(thm)], 37.07/5.35 [zip_derived_cl177, zip_derived_cl422, zip_derived_cl422, 37.07/5.35 zip_derived_cl176])). 37.07/5.35 thf(zip_derived_cl7785, plain, 37.07/5.35 ((((modula1144073633_aux_a @ inf @ sup @ b @ c @ a2) 37.07/5.35 != (modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c)) 37.07/5.35 | ~ (less_eq @ (modula1936294176_aux_a @ inf @ sup @ b @ c @ a2) @ 37.07/5.35 (modula1144073633_aux_a @ inf @ sup @ b @ c @ a2)))), 37.07/5.35 inference('sup-', [status(thm)], [zip_derived_cl632, zip_derived_cl423])). 37.07/5.35 thf(fact_94_local_Oe__c__a__b, axiom, 37.07/5.35 (![C:a,A:a,B:a]: 37.07/5.35 ( ( modula1144073633_aux_a @ inf @ sup @ C @ A @ B ) = 37.07/5.35 ( modula1144073633_aux_a @ inf @ sup @ A @ B @ C ) ))). 37.07/5.35 thf(zip_derived_cl39, plain, 37.07/5.35 ( (((!!) @ (^[Y0 : a]: 37.07/5.35 (((!!) @ (^[Y1 : a]: 37.07/5.35 (((!!) @ (^[Y2 : a]: 37.07/5.35 (((modula1144073633_aux_a @ inf @ 37.07/5.35 sup @ Y0 @ Y1 @ Y2) = 37.07/5.35 (modula1144073633_aux_a @ inf @ 37.07/5.35 sup @ Y1 @ Y2 @ Y0))))))))))))), 37.07/5.35 inference('cnf', [status(esa)], [fact_94_local_Oe__c__a__b])). 37.07/5.35 thf(zip_derived_cl389, plain, 37.07/5.35 (![X2 : a]: 37.07/5.35 (((!!) @ (^[Y0 : a]: 37.07/5.35 (((!!) @ (^[Y1 : a]: 37.07/5.35 (((modula1144073633_aux_a @ inf @ sup @ X2 @ 37.07/5.35 Y0 @ Y1) = (modula1144073633_aux_a @ inf @ 37.07/5.35 sup @ Y0 @ Y1 @ X2)))))))))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl39])). 37.07/5.35 thf(zip_derived_cl390, plain, 37.07/5.35 (![X2 : a, X4 : a]: 37.07/5.35 (((!!) @ (^[Y0 : a]: 37.07/5.35 (((modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ Y0) = 37.07/5.35 (modula1144073633_aux_a @ inf @ sup @ X4 @ Y0 @ X2))))))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl389])). 37.07/5.35 thf(zip_derived_cl391, plain, 37.07/5.35 (![X2 : a, X4 : a, X6 : a]: 37.07/5.35 (((modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6) = 37.07/5.35 (modula1144073633_aux_a @ inf @ sup @ X4 @ X6 @ X2)))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl390])). 37.07/5.35 thf(zip_derived_cl392, plain, 37.07/5.35 (![X2 : a, X4 : a, X6 : a]: 37.07/5.35 ((modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6) 37.07/5.35 = (modula1144073633_aux_a @ inf @ sup @ X4 @ X6 @ X2))), 37.07/5.35 inference('simplify nested equalities', [status(thm)], 37.07/5.35 [zip_derived_cl391])). 37.07/5.35 thf(fact_88_local_Od__c__a__b, axiom, 37.07/5.35 (![C:a,A:a,B:a]: 37.07/5.35 ( ( modula1936294176_aux_a @ inf @ sup @ C @ A @ B ) = 37.07/5.35 ( modula1936294176_aux_a @ inf @ sup @ A @ B @ C ) ))). 37.07/5.35 thf(zip_derived_cl1, plain, 37.07/5.35 ( (((!!) @ (^[Y0 : a]: 37.07/5.35 (((!!) @ (^[Y1 : a]: 37.07/5.35 (((!!) @ (^[Y2 : a]: 37.07/5.35 (((modula1936294176_aux_a @ inf @ 37.07/5.35 sup @ Y0 @ Y1 @ Y2) = 37.07/5.35 (modula1936294176_aux_a @ inf @ 37.07/5.35 sup @ Y1 @ Y2 @ Y0))))))))))))), 37.07/5.35 inference('cnf', [status(esa)], [fact_88_local_Od__c__a__b])). 37.07/5.35 thf(zip_derived_cl164, plain, 37.07/5.35 (![X2 : a]: 37.07/5.35 (((!!) @ (^[Y0 : a]: 37.07/5.35 (((!!) @ (^[Y1 : a]: 37.07/5.35 (((modula1936294176_aux_a @ inf @ sup @ X2 @ 37.07/5.35 Y0 @ Y1) = (modula1936294176_aux_a @ inf @ 37.07/5.35 sup @ Y0 @ Y1 @ X2)))))))))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 37.07/5.35 thf(zip_derived_cl165, plain, 37.07/5.35 (![X2 : a, X4 : a]: 37.07/5.35 (((!!) @ (^[Y0 : a]: 37.07/5.35 (((modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ Y0) = 37.07/5.35 (modula1936294176_aux_a @ inf @ sup @ X4 @ Y0 @ X2))))))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl164])). 37.07/5.35 thf(zip_derived_cl166, plain, 37.07/5.35 (![X2 : a, X4 : a, X6 : a]: 37.07/5.35 (((modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ X6) = 37.07/5.35 (modula1936294176_aux_a @ inf @ sup @ X4 @ X6 @ X2)))), 37.07/5.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl165])). 37.07/5.35 thf(zip_derived_cl167, plain, 37.07/5.35 (![X2 : a, X4 : a, X6 : a]: 37.07/5.35 ((modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ X6) 37.07/5.35 = (modula1936294176_aux_a @ inf @ sup @ X4 @ X6 @ X2))), 37.07/5.35 inference('simplify nested equalities', [status(thm)], 37.07/5.35 [zip_derived_cl166])). 37.07/5.35 thf(zip_derived_cl392, plain, 37.07/5.35 (![X2 : a, X4 : a, X6 : a]: 37.07/5.35 ((modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6) 37.07/5.35 = (modula1144073633_aux_a @ inf @ sup @ X4 @ X6 @ X2))), 37.07/5.35 inference('simplify nested equalities', [status(thm)], 37.07/5.35 [zip_derived_cl391])). 37.07/5.35 thf(conj_0, axiom, 37.07/5.35 (less_eq @ 37.07/5.35 ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) @ 37.07/5.35 ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ))). 37.07/5.35 thf(zip_derived_cl36, plain, 37.07/5.35 ( (less_eq @ (modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c) @ 37.07/5.35 (modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c))), 37.07/5.35 inference('cnf', [status(esa)], [conj_0])). 37.07/5.35 thf(zip_derived_cl7855, plain, 37.07/5.35 (((modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c) 37.07/5.35 != (modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c))), 37.07/5.35 inference('demod', [status(thm)], 37.07/5.35 [zip_derived_cl7785, zip_derived_cl392, zip_derived_cl167, 37.07/5.35 zip_derived_cl392, zip_derived_cl36])). 37.07/5.35 thf(zip_derived_cl7856, plain, ($false), 37.07/5.35 inference('simplify', [status(thm)], [zip_derived_cl7855])). 37.07/5.35 37.07/5.35 % SZS output end Refutation 37.07/5.35 37.07/5.35 37.07/5.35 % Terminating... 37.67/5.39 % Runner terminated. 37.67/5.40 % Zipperpin 1.5 exiting 37.67/5.40 EOF