TSTP Solution File: AGT014+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : AGT014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n019.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 : Wed Aug 30 15:53:21 EDT 2023
% Result : Theorem 55.70s 55.87s
% Output : Proof 55.78s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : AGT014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 17:25:13 EDT 2023
% 0.15/0.35 % CPUTime :
% 55.70/55.87 SZS status Theorem for theBenchmark.p
% 55.70/55.87 SZS output start Proof for theBenchmark.p
% 55.70/55.87 Clause #4 (by assumption #[]): Eq (∀ (A L C : Iota), any_agent_in_all_proposed_teams A L C → accept_leader A L) True
% 55.70/55.87 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
% 55.70/55.87 Clause #13 (by assumption #[]): Eq
% 55.70/55.87 (∀ (A : Iota),
% 55.70/55.87 Iff
% 55.70/55.87 (And
% 55.70/55.87 (And
% 55.70/55.87 (And (And (accept_population A atheist n12) (accept_population A christian n3))
% 55.70/55.87 (accept_population A muslim n0))
% 55.70/55.87 (accept_population A native n85))
% 55.70/55.87 (accept_population A other n0))
% 55.70/55.87 (accept_city A coastvillage))
% 55.70/55.87 True
% 55.70/55.87 Clause #56 (by assumption #[]): Eq
% 55.70/55.87 (the_agent_not_in_any_proposed_teams countryamedicalorganization christiancountrychumanitarianorganization
% 55.70/55.87 coastvillage)
% 55.70/55.87 True
% 55.70/55.87 Clause #57 (by assumption #[]): Eq (any_agent_in_all_proposed_teams countryamedicalorganization christiancountrychumanitarianorganization coastvillage)
% 55.70/55.87 True
% 55.70/55.87 Clause #555 (by assumption #[]): Eq (Not (Exists fun X => Exists fun Y => Exists fun Z => Not (accept_population X Y Z))) True
% 55.70/55.87 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
% 55.70/55.87 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
% 55.70/55.87 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
% 55.70/55.87 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)
% 55.70/55.87 Clause #627 (by clausification #[5]): ∀ (a : Iota),
% 55.70/55.87 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
% 55.70/55.87 Clause #628 (by clausification #[627]): ∀ (a a_1 : Iota),
% 55.70/55.87 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)))
% 55.70/55.87 True
% 55.70/55.87 Clause #629 (by clausification #[628]): ∀ (a a_1 a_2 : Iota),
% 55.70/55.87 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
% 55.70/55.87 Clause #630 (by clausification #[629]): ∀ (a a_1 a_2 : Iota),
% 55.70/55.87 Or (Eq (the_agent_not_in_any_proposed_teams a a_1 a_2) False)
% 55.70/55.87 (Eq (Not (And (accept_city a a_2) (accept_leader a a_1))) True)
% 55.70/55.87 Clause #631 (by clausification #[630]): ∀ (a a_1 a_2 : Iota),
% 55.70/55.87 Or (Eq (the_agent_not_in_any_proposed_teams a a_1 a_2) False)
% 55.70/55.87 (Eq (And (accept_city a a_2) (accept_leader a a_1)) False)
% 55.70/55.87 Clause #632 (by clausification #[631]): ∀ (a a_1 a_2 : Iota),
% 55.70/55.87 Or (Eq (the_agent_not_in_any_proposed_teams a a_1 a_2) False)
% 55.70/55.87 (Or (Eq (accept_city a a_2) False) (Eq (accept_leader a a_1) False))
% 55.70/55.87 Clause #720 (by clausification #[13]): ∀ (a : Iota),
% 55.70/55.87 Eq
% 55.70/55.87 (Iff
% 55.70/55.87 (And
% 55.70/55.87 (And
% 55.70/55.87 (And (And (accept_population a atheist n12) (accept_population a christian n3))
% 55.70/55.87 (accept_population a muslim n0))
% 55.70/55.87 (accept_population a native n85))
% 55.70/55.87 (accept_population a other n0))
% 55.70/55.87 (accept_city a coastvillage))
% 55.70/55.87 True
% 55.70/55.87 Clause #722 (by clausification #[720]): ∀ (a : Iota),
% 55.70/55.87 Or
% 55.70/55.87 (Eq
% 55.70/55.87 (And
% 55.70/55.87 (And
% 55.70/55.87 (And (And (accept_population a atheist n12) (accept_population a christian n3))
% 55.70/55.87 (accept_population a muslim n0))
% 55.70/55.87 (accept_population a native n85))
% 55.70/55.87 (accept_population a other n0))
% 55.70/55.87 False)
% 55.70/55.87 (Eq (accept_city a coastvillage) True)
% 55.70/55.87 Clause #739 (by superposition #[57, 616]): Or (Eq (accept_leader countryamedicalorganization christiancountrychumanitarianorganization) True) (Eq False True)
% 55.70/55.87 Clause #745 (by superposition #[56, 632]): Or (Eq (accept_city countryamedicalorganization coastvillage) False)
% 55.70/55.87 (Or (Eq (accept_leader countryamedicalorganization christiancountrychumanitarianorganization) False) (Eq False True))
% 55.70/55.87 Clause #882 (by clausification #[739]): Eq (accept_leader countryamedicalorganization christiancountrychumanitarianorganization) True
% 55.70/55.89 Clause #1143 (by clausification #[745]): Or (Eq (accept_city countryamedicalorganization coastvillage) False)
% 55.70/55.89 (Eq (accept_leader countryamedicalorganization christiancountrychumanitarianorganization) False)
% 55.70/55.89 Clause #9047 (by clausification #[555]): Eq (Exists fun X => Exists fun Y => Exists fun Z => Not (accept_population X Y Z)) False
% 55.70/55.89 Clause #9048 (by clausification #[9047]): ∀ (a : Iota), Eq (Exists fun Y => Exists fun Z => Not (accept_population a Y Z)) False
% 55.70/55.89 Clause #9049 (by clausification #[9048]): ∀ (a a_1 : Iota), Eq (Exists fun Z => Not (accept_population a a_1 Z)) False
% 55.70/55.89 Clause #9050 (by clausification #[9049]): ∀ (a a_1 a_2 : Iota), Eq (Not (accept_population a a_1 a_2)) False
% 55.70/55.89 Clause #9051 (by clausification #[9050]): ∀ (a a_1 a_2 : Iota), Eq (accept_population a a_1 a_2) True
% 55.70/55.89 Clause #11047 (by clausification #[722]): ∀ (a : Iota),
% 55.70/55.89 Or (Eq (accept_city a coastvillage) True)
% 55.70/55.89 (Or
% 55.70/55.89 (Eq
% 55.70/55.89 (And
% 55.70/55.89 (And (And (accept_population a atheist n12) (accept_population a christian n3))
% 55.70/55.89 (accept_population a muslim n0))
% 55.70/55.89 (accept_population a native n85))
% 55.70/55.89 False)
% 55.70/55.89 (Eq (accept_population a other n0) False))
% 55.70/55.89 Clause #11048 (by clausification #[11047]): ∀ (a : Iota),
% 55.70/55.89 Or (Eq (accept_city a coastvillage) True)
% 55.70/55.89 (Or (Eq (accept_population a other n0) False)
% 55.70/55.89 (Or
% 55.70/55.89 (Eq
% 55.70/55.89 (And (And (accept_population a atheist n12) (accept_population a christian n3))
% 55.70/55.89 (accept_population a muslim n0))
% 55.70/55.89 False)
% 55.70/55.89 (Eq (accept_population a native n85) False)))
% 55.70/55.89 Clause #11049 (by clausification #[11048]): ∀ (a : Iota),
% 55.70/55.89 Or (Eq (accept_city a coastvillage) True)
% 55.70/55.89 (Or (Eq (accept_population a other n0) False)
% 55.70/55.89 (Or (Eq (accept_population a native n85) False)
% 55.70/55.89 (Or (Eq (And (accept_population a atheist n12) (accept_population a christian n3)) False)
% 55.70/55.89 (Eq (accept_population a muslim n0) False))))
% 55.70/55.89 Clause #11050 (by clausification #[11049]): ∀ (a : Iota),
% 55.70/55.89 Or (Eq (accept_city a coastvillage) True)
% 55.70/55.89 (Or (Eq (accept_population a other n0) False)
% 55.70/55.89 (Or (Eq (accept_population a native n85) False)
% 55.70/55.89 (Or (Eq (accept_population a muslim n0) False)
% 55.70/55.89 (Or (Eq (accept_population a atheist n12) False) (Eq (accept_population a christian n3) False)))))
% 55.70/55.89 Clause #11051 (by forward demodulation #[11050, 9051]): ∀ (a : Iota),
% 55.70/55.89 Or (Eq (accept_city a coastvillage) True)
% 55.70/55.89 (Or (Eq True False)
% 55.70/55.89 (Or (Eq (accept_population a native n85) False)
% 55.70/55.89 (Or (Eq (accept_population a muslim n0) False)
% 55.70/55.89 (Or (Eq (accept_population a atheist n12) False) (Eq (accept_population a christian n3) False)))))
% 55.70/55.89 Clause #11052 (by clausification #[11051]): ∀ (a : Iota),
% 55.70/55.89 Or (Eq (accept_city a coastvillage) True)
% 55.70/55.89 (Or (Eq (accept_population a native n85) False)
% 55.70/55.89 (Or (Eq (accept_population a muslim n0) False)
% 55.70/55.89 (Or (Eq (accept_population a atheist n12) False) (Eq (accept_population a christian n3) False))))
% 55.70/55.89 Clause #11053 (by forward demodulation #[11052, 9051]): ∀ (a : Iota),
% 55.70/55.89 Or (Eq (accept_city a coastvillage) True)
% 55.70/55.89 (Or (Eq True False)
% 55.70/55.89 (Or (Eq (accept_population a muslim n0) False)
% 55.70/55.89 (Or (Eq (accept_population a atheist n12) False) (Eq (accept_population a christian n3) False))))
% 55.70/55.89 Clause #11054 (by clausification #[11053]): ∀ (a : Iota),
% 55.70/55.89 Or (Eq (accept_city a coastvillage) True)
% 55.70/55.89 (Or (Eq (accept_population a muslim n0) False)
% 55.70/55.89 (Or (Eq (accept_population a atheist n12) False) (Eq (accept_population a christian n3) False)))
% 55.70/55.89 Clause #11055 (by forward demodulation #[11054, 9051]): ∀ (a : Iota),
% 55.70/55.89 Or (Eq (accept_city a coastvillage) True)
% 55.70/55.89 (Or (Eq (accept_population a muslim n0) False) (Or (Eq True False) (Eq (accept_population a christian n3) False)))
% 55.70/55.89 Clause #11056 (by clausification #[11055]): ∀ (a : Iota),
% 55.70/55.89 Or (Eq (accept_city a coastvillage) True)
% 55.70/55.89 (Or (Eq (accept_population a muslim n0) False) (Eq (accept_population a christian n3) False))
% 55.70/55.89 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))
% 55.78/55.94 Clause #11058 (by clausification #[11057]): ∀ (a : Iota), Or (Eq (accept_city a coastvillage) True) (Eq (accept_population a muslim n0) False)
% 55.78/55.94 Clause #11059 (by superposition #[11058, 9051]): ∀ (a : Iota), Or (Eq (accept_city a coastvillage) True) (Eq False True)
% 55.78/55.94 Clause #11064 (by clausification #[11059]): ∀ (a : Iota), Eq (accept_city a coastvillage) True
% 55.78/55.94 Clause #11065 (by backward demodulation #[11064, 1143]): Or (Eq True False) (Eq (accept_leader countryamedicalorganization christiancountrychumanitarianorganization) False)
% 55.78/55.94 Clause #11105 (by clausification #[11065]): Eq (accept_leader countryamedicalorganization christiancountrychumanitarianorganization) False
% 55.78/55.94 Clause #11106 (by superposition #[11105, 882]): Eq False True
% 55.78/55.94 Clause #11111 (by clausification #[11106]): False
% 55.78/55.94 SZS output end Proof for theBenchmark.p
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