%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SCT171_1 : TPTP v9.2.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 07:59:13 PM UTC 2025 % Result : Theorem 61.11s 61.36s % Output : Proof 61.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SCT171_1 : TPTP v9.2.0. Released v5.3.0. % 0.04/0.13 % Command : duper %s % 0.13/0.34 % Computer : n013.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 : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Oct 2 21:24:53 EDT 2025 % 0.13/0.34 % CPUTime : % 61.11/61.36 SZS status Theorem for theBenchmark.p % 61.11/61.36 SZS output start Proof for theBenchmark.p % 61.11/61.36 Clause #13 (by assumption #[]): Eq % 61.11/61.36 (hBOOL % 61.11/61.36 (hAPP_f1944886577l_bool (member1484933012le_alt (produc170576535le_alt c d)) % 61.11/61.36 (hAPP_f718157575t_bool f % 61.11/61.36 (cOMBS_1688227464t_bool % 61.11/61.36 (cOMBS_1833320732t_bool % 61.11/61.36 (cOMBB_124649523e_indi if_fun95824985t_bool % 61.11/61.36 (cOMBC_998415407t_bool (cOMBB_1514803447e_indi ord_less_nat h) n)) % 61.11/61.36 (cOMBC_377836265t_bool (cOMBB_1932856316e_indi arrow_1275257820_mktop p) e)) % 61.11/61.36 (cOMBS_1688227464t_bool % 61.11/61.36 (cOMBS_1833320732t_bool % 61.11/61.36 (cOMBB_124649523e_indi if_fun95824985t_bool % 61.11/61.36 (cOMBC_998415407t_bool (cOMBB_1514803447e_indi fequal_nat h) n)) % 61.11/61.36 (cOMBC_377836265t_bool (cOMBC_1994570734t_bool (cOMBB_715840641e_indi arrow_2009189698_above p) c) e)) % 61.11/61.36 (cOMBC_377836265t_bool (cOMBB_1932856316e_indi arrow_1126550734_mkbot p) e)))))) % 61.11/61.36 True % 61.11/61.36 Clause #14 (by assumption #[]): Eq % 61.11/61.36 (Iff (hBOOL (hAPP_f1944886577l_bool (member1484933012le_alt (produc170576535le_alt c d)) (hAPP_f718157575t_bool f p))) % 61.11/61.36 (hBOOL % 61.11/61.36 (hAPP_f1944886577l_bool (member1484933012le_alt (produc170576535le_alt c d)) % 61.11/61.36 (hAPP_f718157575t_bool f % 61.11/61.36 (cOMBS_1688227464t_bool % 61.11/61.36 (cOMBS_1833320732t_bool % 61.11/61.36 (cOMBB_124649523e_indi if_fun95824985t_bool % 61.11/61.36 (cOMBC_998415407t_bool (cOMBB_1514803447e_indi ord_less_nat h) n)) % 61.11/61.36 (cOMBC_377836265t_bool (cOMBB_1932856316e_indi arrow_1275257820_mktop p) e)) % 61.11/61.36 (cOMBS_1688227464t_bool % 61.11/61.36 (cOMBS_1833320732t_bool % 61.11/61.36 (cOMBB_124649523e_indi if_fun95824985t_bool % 61.11/61.36 (cOMBC_998415407t_bool (cOMBB_1514803447e_indi fequal_nat h) n)) % 61.11/61.36 (cOMBC_377836265t_bool (cOMBC_1994570734t_bool (cOMBB_715840641e_indi arrow_2009189698_above p) c) e)) % 61.11/61.36 (cOMBC_377836265t_bool (cOMBB_1932856316e_indi arrow_1126550734_mkbot p) e))))))) % 61.11/61.36 True % 61.11/61.36 Clause #221 (by assumption #[]): Eq % 61.11/61.36 (Not % 61.11/61.36 (hBOOL (hAPP_f1944886577l_bool (member1484933012le_alt (produc170576535le_alt c d)) (hAPP_f718157575t_bool f p)))) % 61.11/61.36 True % 61.11/61.36 Clause #468 (by clausification #[14]): Or % 61.11/61.36 (Eq (hBOOL (hAPP_f1944886577l_bool (member1484933012le_alt (produc170576535le_alt c d)) (hAPP_f718157575t_bool f p))) % 61.11/61.36 True) % 61.11/61.36 (Eq % 61.11/61.36 (hBOOL % 61.11/61.36 (hAPP_f1944886577l_bool (member1484933012le_alt (produc170576535le_alt c d)) % 61.11/61.36 (hAPP_f718157575t_bool f % 61.11/61.36 (cOMBS_1688227464t_bool % 61.11/61.36 (cOMBS_1833320732t_bool % 61.11/61.36 (cOMBB_124649523e_indi if_fun95824985t_bool % 61.11/61.36 (cOMBC_998415407t_bool (cOMBB_1514803447e_indi ord_less_nat h) n)) % 61.11/61.36 (cOMBC_377836265t_bool (cOMBB_1932856316e_indi arrow_1275257820_mktop p) e)) % 61.11/61.36 (cOMBS_1688227464t_bool % 61.11/61.36 (cOMBS_1833320732t_bool % 61.11/61.36 (cOMBB_124649523e_indi if_fun95824985t_bool % 61.11/61.36 (cOMBC_998415407t_bool (cOMBB_1514803447e_indi fequal_nat h) n)) % 61.11/61.36 (cOMBC_377836265t_bool (cOMBC_1994570734t_bool (cOMBB_715840641e_indi arrow_2009189698_above p) c) e)) % 61.11/61.36 (cOMBC_377836265t_bool (cOMBB_1932856316e_indi arrow_1126550734_mkbot p) e)))))) % 61.11/61.36 False) % 61.11/61.36 Clause #470 (by superposition #[468, 13]): Or % 61.11/61.36 (Eq (hBOOL (hAPP_f1944886577l_bool (member1484933012le_alt (produc170576535le_alt c d)) (hAPP_f718157575t_bool f p))) % 61.11/61.36 True) % 61.11/61.36 (Eq False True) % 61.11/61.36 Clause #12490 (by clausification #[221]): Eq (hBOOL (hAPP_f1944886577l_bool (member1484933012le_alt (produc170576535le_alt c d)) (hAPP_f718157575t_bool f p))) % 61.11/61.36 False % 61.11/61.36 Clause #18865 (by clausification #[470]): Eq (hBOOL (hAPP_f1944886577l_bool (member1484933012le_alt (produc170576535le_alt c d)) (hAPP_f718157575t_bool f p))) % 61.11/61.36 True % 61.11/61.36 Clause #18867 (by superposition #[18865, 12490]): Eq True False % 61.11/61.36 Clause #18981 (by clausification #[18867]): False % 61.11/61.36 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------