%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : AGT014+1 : TPTP v9.2.0. Bugfixed v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n011.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 07:43:50 PM UTC 2025 % Result : Theorem 54.77s 54.94s % Output : Proof 54.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : AGT014+1 : TPTP v9.2.0. Bugfixed v3.1.0. % 0.03/0.13 % Command : duper %s % 0.12/0.34 % Computer : n011.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 09:04:08 EDT 2025 % 0.12/0.34 % CPUTime : % 54.77/54.94 SZS status Theorem for theBenchmark.p % 54.77/54.94 SZS output start Proof for theBenchmark.p % 54.77/54.94 Clause #4 (by assumption #[]): Eq (∀ (A L C : Iota), any_agent_in_all_proposed_teams A L C → accept_leader A L) True % 54.77/54.94 Clause #5 (by assumption #[]): Eq (∀ (A L C : Iota), the_agent_not_in_any_proposed_teams A L C → Not (And (accept_city A C) (accept_leader A L))) True % 54.77/54.94 Clause #13 (by assumption #[]): Eq % 54.77/54.94 (∀ (A : Iota), % 54.77/54.94 Iff % 54.77/54.94 (And % 54.77/54.94 (And % 54.77/54.94 (And (And (accept_population A atheist n12) (accept_population A christian n3)) % 54.77/54.94 (accept_population A muslim n0)) % 54.77/54.94 (accept_population A native n85)) % 54.77/54.94 (accept_population A other n0)) % 54.77/54.94 (accept_city A coastvillage)) % 54.77/54.94 True % 54.77/54.94 Clause #56 (by assumption #[]): Eq % 54.77/54.94 (the_agent_not_in_any_proposed_teams countryamedicalorganization christiancountrychumanitarianorganization % 54.77/54.94 coastvillage) % 54.77/54.94 True % 54.77/54.94 Clause #57 (by assumption #[]): Eq (any_agent_in_all_proposed_teams countryamedicalorganization christiancountrychumanitarianorganization coastvillage) % 54.77/54.94 True % 54.77/54.94 Clause #555 (by assumption #[]): Eq (Not (Exists fun X => Exists fun Y => Exists fun Z => Not (accept_population X Y Z))) True % 54.77/54.94 Clause #613 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (L C : Iota), any_agent_in_all_proposed_teams a L C → accept_leader a L) True % 54.77/54.94 Clause #614 (by clausification #[613]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), any_agent_in_all_proposed_teams a a_1 C → accept_leader a a_1) True % 54.77/54.94 Clause #615 (by clausification #[614]): ∀ (a a_1 a_2 : Iota), Eq (any_agent_in_all_proposed_teams a a_1 a_2 → accept_leader a a_1) True % 54.77/54.94 Clause #616 (by clausification #[615]): ∀ (a a_1 a_2 : Iota), Or (Eq (any_agent_in_all_proposed_teams a a_1 a_2) False) (Eq (accept_leader a a_1) True) % 54.77/54.94 Clause #627 (by clausification #[5]): ∀ (a : Iota), % 54.77/54.94 Eq (∀ (L C : Iota), the_agent_not_in_any_proposed_teams a L C → Not (And (accept_city a C) (accept_leader a L))) True % 54.77/54.94 Clause #628 (by clausification #[627]): ∀ (a a_1 : Iota), % 54.77/54.94 Eq (∀ (C : Iota), the_agent_not_in_any_proposed_teams a a_1 C → Not (And (accept_city a C) (accept_leader a a_1))) % 54.77/54.94 True % 54.77/54.94 Clause #629 (by clausification #[628]): ∀ (a a_1 a_2 : Iota), % 54.77/54.94 Eq (the_agent_not_in_any_proposed_teams a a_1 a_2 → Not (And (accept_city a a_2) (accept_leader a a_1))) True % 54.77/54.94 Clause #630 (by clausification #[629]): ∀ (a a_1 a_2 : Iota), % 54.77/54.94 Or (Eq (the_agent_not_in_any_proposed_teams a a_1 a_2) False) % 54.77/54.94 (Eq (Not (And (accept_city a a_2) (accept_leader a a_1))) True) % 54.77/54.94 Clause #631 (by clausification #[630]): ∀ (a a_1 a_2 : Iota), % 54.77/54.94 Or (Eq (the_agent_not_in_any_proposed_teams a a_1 a_2) False) % 54.77/54.94 (Eq (And (accept_city a a_2) (accept_leader a a_1)) False) % 54.77/54.94 Clause #632 (by clausification #[631]): ∀ (a a_1 a_2 : Iota), % 54.77/54.94 Or (Eq (the_agent_not_in_any_proposed_teams a a_1 a_2) False) % 54.77/54.94 (Or (Eq (accept_city a a_2) False) (Eq (accept_leader a a_1) False)) % 54.77/54.94 Clause #720 (by clausification #[13]): ∀ (a : Iota), % 54.77/54.94 Eq % 54.77/54.94 (Iff % 54.77/54.94 (And % 54.77/54.94 (And % 54.77/54.94 (And (And (accept_population a atheist n12) (accept_population a christian n3)) % 54.77/54.94 (accept_population a muslim n0)) % 54.77/54.94 (accept_population a native n85)) % 54.77/54.94 (accept_population a other n0)) % 54.77/54.94 (accept_city a coastvillage)) % 54.77/54.94 True % 54.77/54.94 Clause #722 (by clausification #[720]): ∀ (a : Iota), % 54.77/54.94 Or % 54.77/54.94 (Eq % 54.77/54.94 (And % 54.77/54.94 (And % 54.77/54.94 (And (And (accept_population a atheist n12) (accept_population a christian n3)) % 54.77/54.94 (accept_population a muslim n0)) % 54.77/54.94 (accept_population a native n85)) % 54.77/54.94 (accept_population a other n0)) % 54.77/54.94 False) % 54.77/54.94 (Eq (accept_city a coastvillage) True) % 54.77/54.94 Clause #739 (by superposition #[57, 616]): Or (Eq (accept_leader countryamedicalorganization christiancountrychumanitarianorganization) True) (Eq False True) % 54.77/54.94 Clause #745 (by superposition #[56, 632]): Or (Eq (accept_city countryamedicalorganization coastvillage) False) % 54.77/54.94 (Or (Eq (accept_leader countryamedicalorganization christiancountrychumanitarianorganization) False) (Eq False True)) % 54.77/54.94 Clause #882 (by clausification #[739]): Eq (accept_leader countryamedicalorganization christiancountrychumanitarianorganization) True % 54.80/54.97 Clause #1143 (by clausification #[745]): Or (Eq (accept_city countryamedicalorganization coastvillage) False) % 54.80/54.97 (Eq (accept_leader countryamedicalorganization christiancountrychumanitarianorganization) False) % 54.80/54.97 Clause #9047 (by clausification #[555]): Eq (Exists fun X => Exists fun Y => Exists fun Z => Not (accept_population X Y Z)) False % 54.80/54.97 Clause #9048 (by clausification #[9047]): ∀ (a : Iota), Eq (Exists fun Y => Exists fun Z => Not (accept_population a Y Z)) False % 54.80/54.97 Clause #9049 (by clausification #[9048]): ∀ (a a_1 : Iota), Eq (Exists fun Z => Not (accept_population a a_1 Z)) False % 54.80/54.97 Clause #9050 (by clausification #[9049]): ∀ (a a_1 a_2 : Iota), Eq (Not (accept_population a a_1 a_2)) False % 54.80/54.97 Clause #9051 (by clausification #[9050]): ∀ (a a_1 a_2 : Iota), Eq (accept_population a a_1 a_2) True % 54.80/54.97 Clause #11047 (by clausification #[722]): ∀ (a : Iota), % 54.80/54.97 Or (Eq (accept_city a coastvillage) True) % 54.80/54.97 (Or % 54.80/54.97 (Eq % 54.80/54.97 (And % 54.80/54.97 (And (And (accept_population a atheist n12) (accept_population a christian n3)) % 54.80/54.97 (accept_population a muslim n0)) % 54.80/54.97 (accept_population a native n85)) % 54.80/54.97 False) % 54.80/54.97 (Eq (accept_population a other n0) False)) % 54.80/54.97 Clause #11048 (by clausification #[11047]): ∀ (a : Iota), % 54.80/54.97 Or (Eq (accept_city a coastvillage) True) % 54.80/54.97 (Or (Eq (accept_population a other n0) False) % 54.80/54.97 (Or % 54.80/54.97 (Eq % 54.80/54.97 (And (And (accept_population a atheist n12) (accept_population a christian n3)) % 54.80/54.97 (accept_population a muslim n0)) % 54.80/54.97 False) % 54.80/54.97 (Eq (accept_population a native n85) False))) % 54.80/54.97 Clause #11049 (by clausification #[11048]): ∀ (a : Iota), % 54.80/54.97 Or (Eq (accept_city a coastvillage) True) % 54.80/54.97 (Or (Eq (accept_population a other n0) False) % 54.80/54.97 (Or (Eq (accept_population a native n85) False) % 54.80/54.97 (Or (Eq (And (accept_population a atheist n12) (accept_population a christian n3)) False) % 54.80/54.97 (Eq (accept_population a muslim n0) False)))) % 54.80/54.97 Clause #11050 (by clausification #[11049]): ∀ (a : Iota), % 54.80/54.97 Or (Eq (accept_city a coastvillage) True) % 54.80/54.97 (Or (Eq (accept_population a other n0) False) % 54.80/54.97 (Or (Eq (accept_population a native n85) False) % 54.80/54.97 (Or (Eq (accept_population a muslim n0) False) % 54.80/54.97 (Or (Eq (accept_population a atheist n12) False) (Eq (accept_population a christian n3) False))))) % 54.80/54.97 Clause #11051 (by forward demodulation #[11050, 9051]): ∀ (a : Iota), % 54.80/54.97 Or (Eq (accept_city a coastvillage) True) % 54.80/54.97 (Or (Eq True False) % 54.80/54.97 (Or (Eq (accept_population a native n85) False) % 54.80/54.97 (Or (Eq (accept_population a muslim n0) False) % 54.80/54.97 (Or (Eq (accept_population a atheist n12) False) (Eq (accept_population a christian n3) False))))) % 54.80/54.97 Clause #11052 (by clausification #[11051]): ∀ (a : Iota), % 54.80/54.97 Or (Eq (accept_city a coastvillage) True) % 54.80/54.97 (Or (Eq (accept_population a native n85) False) % 54.80/54.97 (Or (Eq (accept_population a muslim n0) False) % 54.80/54.97 (Or (Eq (accept_population a atheist n12) False) (Eq (accept_population a christian n3) False)))) % 54.80/54.97 Clause #11053 (by forward demodulation #[11052, 9051]): ∀ (a : Iota), % 54.80/54.97 Or (Eq (accept_city a coastvillage) True) % 54.80/54.97 (Or (Eq True False) % 54.80/54.97 (Or (Eq (accept_population a muslim n0) False) % 54.80/54.97 (Or (Eq (accept_population a atheist n12) False) (Eq (accept_population a christian n3) False)))) % 54.80/54.97 Clause #11054 (by clausification #[11053]): ∀ (a : Iota), % 54.80/54.97 Or (Eq (accept_city a coastvillage) True) % 54.80/54.97 (Or (Eq (accept_population a muslim n0) False) % 54.80/54.97 (Or (Eq (accept_population a atheist n12) False) (Eq (accept_population a christian n3) False))) % 54.80/54.97 Clause #11055 (by forward demodulation #[11054, 9051]): ∀ (a : Iota), % 54.80/54.97 Or (Eq (accept_city a coastvillage) True) % 54.80/54.97 (Or (Eq (accept_population a muslim n0) False) (Or (Eq True False) (Eq (accept_population a christian n3) False))) % 54.80/54.97 Clause #11056 (by clausification #[11055]): ∀ (a : Iota), % 54.80/54.97 Or (Eq (accept_city a coastvillage) True) % 54.80/54.97 (Or (Eq (accept_population a muslim n0) False) (Eq (accept_population a christian n3) False)) % 54.80/54.97 Clause #11057 (by forward demodulation #[11056, 9051]): ∀ (a : Iota), Or (Eq (accept_city a coastvillage) True) (Or (Eq (accept_population a muslim n0) False) (Eq True False)) % 54.80/55.01 Clause #11058 (by clausification #[11057]): ∀ (a : Iota), Or (Eq (accept_city a coastvillage) True) (Eq (accept_population a muslim n0) False) % 54.80/55.01 Clause #11059 (by superposition #[11058, 9051]): ∀ (a : Iota), Or (Eq (accept_city a coastvillage) True) (Eq False True) % 54.80/55.01 Clause #11064 (by clausification #[11059]): ∀ (a : Iota), Eq (accept_city a coastvillage) True % 54.80/55.01 Clause #11065 (by backward demodulation #[11064, 1143]): Or (Eq True False) (Eq (accept_leader countryamedicalorganization christiancountrychumanitarianorganization) False) % 54.80/55.01 Clause #11105 (by clausification #[11065]): Eq (accept_leader countryamedicalorganization christiancountrychumanitarianorganization) False % 54.80/55.01 Clause #11106 (by superposition #[11105, 882]): Eq False True % 54.80/55.01 Clause #11111 (by clausification #[11106]): False % 54.80/55.01 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------