TSTP Solution File: GEO147+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : GEO147+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n016.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 22:55:17 EDT 2023
% Result : Theorem 15.02s 15.21s
% Output : Proof 15.07s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO147+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n016.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 : Tue Aug 29 22:25:46 EDT 2023
% 0.13/0.34 % CPUTime :
% 15.02/15.21 SZS status Theorem for theBenchmark.p
% 15.02/15.21 SZS output start Proof for theBenchmark.p
% 15.02/15.21 Clause #27 (by assumption #[]): Eq (∀ (X Y P : Iota), Iff (connect X Y P) (once (at_the_same_time (at X P) (at Y P)))) True
% 15.02/15.21 Clause #31 (by assumption #[]): Eq (∀ (A B : Iota), once (at_the_same_time A B) → And (once A) (once B)) True
% 15.02/15.21 Clause #32 (by assumption #[]): Eq (∀ (X P : Iota), Iff (once (at X P)) (incident_o P (trajectory_of X))) True
% 15.02/15.21 Clause #36 (by assumption #[]): Eq (Not (∀ (P X Y : Iota), connect X Y P → And (incident_o P (trajectory_of X)) (incident_o P (trajectory_of Y)))) True
% 15.02/15.21 Clause #74 (by clausification #[31]): ∀ (a : Iota), Eq (∀ (B : Iota), once (at_the_same_time a B) → And (once a) (once B)) True
% 15.02/15.21 Clause #75 (by clausification #[74]): ∀ (a a_1 : Iota), Eq (once (at_the_same_time a a_1) → And (once a) (once a_1)) True
% 15.02/15.21 Clause #76 (by clausification #[75]): ∀ (a a_1 : Iota), Or (Eq (once (at_the_same_time a a_1)) False) (Eq (And (once a) (once a_1)) True)
% 15.02/15.21 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), Or (Eq (once (at_the_same_time a a_1)) False) (Eq (once a_1) True)
% 15.02/15.21 Clause #78 (by clausification #[76]): ∀ (a a_1 : Iota), Or (Eq (once (at_the_same_time a a_1)) False) (Eq (once a) True)
% 15.02/15.21 Clause #144 (by clausification #[32]): ∀ (a : Iota), Eq (∀ (P : Iota), Iff (once (at a P)) (incident_o P (trajectory_of a))) True
% 15.02/15.21 Clause #145 (by clausification #[144]): ∀ (a a_1 : Iota), Eq (Iff (once (at a a_1)) (incident_o a_1 (trajectory_of a))) True
% 15.02/15.21 Clause #147 (by clausification #[145]): ∀ (a a_1 : Iota), Or (Eq (once (at a a_1)) False) (Eq (incident_o a_1 (trajectory_of a)) True)
% 15.02/15.21 Clause #218 (by clausification #[36]): Eq (∀ (P X Y : Iota), connect X Y P → And (incident_o P (trajectory_of X)) (incident_o P (trajectory_of Y))) False
% 15.02/15.21 Clause #219 (by clausification #[218]): ∀ (a : Iota),
% 15.02/15.21 Eq
% 15.02/15.21 (Not
% 15.02/15.21 (∀ (X Y : Iota),
% 15.02/15.21 connect X Y (skS.0 16 a) →
% 15.02/15.21 And (incident_o (skS.0 16 a) (trajectory_of X)) (incident_o (skS.0 16 a) (trajectory_of Y))))
% 15.02/15.21 True
% 15.02/15.21 Clause #220 (by clausification #[219]): ∀ (a : Iota),
% 15.02/15.21 Eq
% 15.02/15.21 (∀ (X Y : Iota),
% 15.02/15.21 connect X Y (skS.0 16 a) →
% 15.02/15.21 And (incident_o (skS.0 16 a) (trajectory_of X)) (incident_o (skS.0 16 a) (trajectory_of Y)))
% 15.02/15.21 False
% 15.02/15.21 Clause #221 (by clausification #[220]): ∀ (a a_1 : Iota),
% 15.02/15.21 Eq
% 15.02/15.21 (Not
% 15.02/15.21 (∀ (Y : Iota),
% 15.02/15.21 connect (skS.0 17 a a_1) Y (skS.0 16 a) →
% 15.02/15.21 And (incident_o (skS.0 16 a) (trajectory_of (skS.0 17 a a_1))) (incident_o (skS.0 16 a) (trajectory_of Y))))
% 15.02/15.21 True
% 15.02/15.21 Clause #222 (by clausification #[221]): ∀ (a a_1 : Iota),
% 15.02/15.21 Eq
% 15.02/15.21 (∀ (Y : Iota),
% 15.02/15.21 connect (skS.0 17 a a_1) Y (skS.0 16 a) →
% 15.02/15.21 And (incident_o (skS.0 16 a) (trajectory_of (skS.0 17 a a_1))) (incident_o (skS.0 16 a) (trajectory_of Y)))
% 15.02/15.21 False
% 15.02/15.21 Clause #223 (by clausification #[222]): ∀ (a a_1 a_2 : Iota),
% 15.02/15.21 Eq
% 15.02/15.21 (Not
% 15.02/15.21 (connect (skS.0 17 a a_1) (skS.0 18 a a_1 a_2) (skS.0 16 a) →
% 15.02/15.21 And (incident_o (skS.0 16 a) (trajectory_of (skS.0 17 a a_1)))
% 15.02/15.21 (incident_o (skS.0 16 a) (trajectory_of (skS.0 18 a a_1 a_2)))))
% 15.02/15.21 True
% 15.02/15.21 Clause #224 (by clausification #[223]): ∀ (a a_1 a_2 : Iota),
% 15.02/15.21 Eq
% 15.02/15.21 (connect (skS.0 17 a a_1) (skS.0 18 a a_1 a_2) (skS.0 16 a) →
% 15.02/15.21 And (incident_o (skS.0 16 a) (trajectory_of (skS.0 17 a a_1)))
% 15.02/15.21 (incident_o (skS.0 16 a) (trajectory_of (skS.0 18 a a_1 a_2))))
% 15.02/15.21 False
% 15.02/15.21 Clause #225 (by clausification #[224]): ∀ (a a_1 a_2 : Iota), Eq (connect (skS.0 17 a a_1) (skS.0 18 a a_1 a_2) (skS.0 16 a)) True
% 15.02/15.21 Clause #226 (by clausification #[224]): ∀ (a a_1 a_2 : Iota),
% 15.02/15.21 Eq
% 15.02/15.21 (And (incident_o (skS.0 16 a) (trajectory_of (skS.0 17 a a_1)))
% 15.02/15.21 (incident_o (skS.0 16 a) (trajectory_of (skS.0 18 a a_1 a_2))))
% 15.02/15.21 False
% 15.02/15.21 Clause #324 (by clausification #[27]): ∀ (a : Iota), Eq (∀ (Y P : Iota), Iff (connect a Y P) (once (at_the_same_time (at a P) (at Y P)))) True
% 15.02/15.21 Clause #325 (by clausification #[324]): ∀ (a a_1 : Iota), Eq (∀ (P : Iota), Iff (connect a a_1 P) (once (at_the_same_time (at a P) (at a_1 P)))) True
% 15.02/15.21 Clause #326 (by clausification #[325]): ∀ (a a_1 a_2 : Iota), Eq (Iff (connect a a_1 a_2) (once (at_the_same_time (at a a_2) (at a_1 a_2)))) True
% 15.07/15.25 Clause #328 (by clausification #[326]): ∀ (a a_1 a_2 : Iota), Or (Eq (connect a a_1 a_2) False) (Eq (once (at_the_same_time (at a a_2) (at a_1 a_2))) True)
% 15.07/15.25 Clause #329 (by superposition #[328, 225]): ∀ (a a_1 a_2 : Iota),
% 15.07/15.25 Or (Eq (once (at_the_same_time (at (skS.0 17 a a_1) (skS.0 16 a)) (at (skS.0 18 a a_1 a_2) (skS.0 16 a)))) True)
% 15.07/15.25 (Eq False True)
% 15.07/15.25 Clause #2821 (by clausification #[226]): ∀ (a a_1 a_2 : Iota),
% 15.07/15.25 Or (Eq (incident_o (skS.0 16 a) (trajectory_of (skS.0 17 a a_1))) False)
% 15.07/15.25 (Eq (incident_o (skS.0 16 a) (trajectory_of (skS.0 18 a a_1 a_2))) False)
% 15.07/15.25 Clause #4067 (by clausification #[329]): ∀ (a a_1 a_2 : Iota),
% 15.07/15.25 Eq (once (at_the_same_time (at (skS.0 17 a a_1) (skS.0 16 a)) (at (skS.0 18 a a_1 a_2) (skS.0 16 a)))) True
% 15.07/15.25 Clause #4068 (by superposition #[4067, 77]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (once (at (skS.0 18 a a_1 a_2) (skS.0 16 a))) True)
% 15.07/15.25 Clause #4069 (by superposition #[4067, 78]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (once (at (skS.0 17 a a_1) (skS.0 16 a))) True)
% 15.07/15.25 Clause #4099 (by clausification #[4069]): ∀ (a a_1 : Iota), Eq (once (at (skS.0 17 a a_1) (skS.0 16 a))) True
% 15.07/15.25 Clause #4100 (by superposition #[4099, 147]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (incident_o (skS.0 16 a) (trajectory_of (skS.0 17 a a_1))) True)
% 15.07/15.25 Clause #4115 (by clausification #[4100]): ∀ (a a_1 : Iota), Eq (incident_o (skS.0 16 a) (trajectory_of (skS.0 17 a a_1))) True
% 15.07/15.25 Clause #4116 (by backward demodulation #[4115, 2821]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (incident_o (skS.0 16 a) (trajectory_of (skS.0 18 a a_1 a_2))) False)
% 15.07/15.25 Clause #4220 (by clausification #[4068]): ∀ (a a_1 a_2 : Iota), Eq (once (at (skS.0 18 a a_1 a_2) (skS.0 16 a))) True
% 15.07/15.25 Clause #4221 (by superposition #[4220, 147]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (incident_o (skS.0 16 a) (trajectory_of (skS.0 18 a a_1 a_2))) True)
% 15.07/15.25 Clause #4236 (by clausification #[4221]): ∀ (a a_1 a_2 : Iota), Eq (incident_o (skS.0 16 a) (trajectory_of (skS.0 18 a a_1 a_2))) True
% 15.07/15.25 Clause #4259 (by clausification #[4116]): ∀ (a a_1 a_2 : Iota), Eq (incident_o (skS.0 16 a) (trajectory_of (skS.0 18 a a_1 a_2))) False
% 15.07/15.25 Clause #4260 (by superposition #[4259, 4236]): Eq False True
% 15.07/15.25 Clause #4273 (by clausification #[4260]): False
% 15.07/15.25 SZS output end Proof for theBenchmark.p
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