TSTP Solution File: COM002_1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : COM002_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n001.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 18:38:02 EDT 2023
% Result : Theorem 3.84s 4.02s
% Output : Proof 3.84s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM002_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n001.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 13:35:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.84/4.02 SZS status Theorem for theBenchmark.p
% 3.84/4.02 SZS output start Proof for theBenchmark.p
% 3.84/4.02 Clause #0 (by assumption #[]): Eq (∀ (Start_state Goal_state : state), follows Goal_state Start_state → succeeds Goal_state Start_state) True
% 3.84/4.02 Clause #1 (by assumption #[]): Eq
% 3.84/4.02 (∀ (Start_state Intermediate_state Goal_state : state),
% 3.84/4.02 And (succeeds Goal_state Intermediate_state) (succeeds Intermediate_state Start_state) →
% 3.84/4.02 succeeds Goal_state Start_state)
% 3.84/4.02 True
% 3.84/4.02 Clause #2 (by assumption #[]): Eq
% 3.84/4.02 (∀ (Goal_state : state) (Label : label) (Start_state : state),
% 3.84/4.02 And (has Start_state (goto Label)) (labels Label Goal_state) → succeeds Goal_state Start_state)
% 3.84/4.02 True
% 3.84/4.02 Clause #7 (by assumption #[]): Eq (labels loop p3) True
% 3.84/4.02 Clause #12 (by assumption #[]): Eq (follows p6 p3) True
% 3.84/4.02 Clause #14 (by assumption #[]): Eq (follows p7 p6) True
% 3.84/4.02 Clause #16 (by assumption #[]): Eq (follows p8 p7) True
% 3.84/4.02 Clause #17 (by assumption #[]): Eq (has p8 (goto loop)) True
% 3.84/4.02 Clause #18 (by assumption #[]): Eq (Not (succeeds p3 p3)) True
% 3.84/4.02 Clause #19 (by clausification #[0]): ∀ (a : state), Eq (∀ (Goal_state : state), follows Goal_state a → succeeds Goal_state a) True
% 3.84/4.02 Clause #20 (by clausification #[19]): ∀ (a a_1 : state), Eq (follows a a_1 → succeeds a a_1) True
% 3.84/4.02 Clause #21 (by clausification #[20]): ∀ (a a_1 : state), Or (Eq (follows a a_1) False) (Eq (succeeds a a_1) True)
% 3.84/4.02 Clause #22 (by superposition #[21, 16]): Or (Eq (succeeds p8 p7) True) (Eq False True)
% 3.84/4.02 Clause #23 (by superposition #[21, 14]): Or (Eq (succeeds p7 p6) True) (Eq False True)
% 3.84/4.02 Clause #27 (by superposition #[12, 21]): Or (Eq (succeeds p6 p3) True) (Eq False True)
% 3.84/4.02 Clause #28 (by clausification #[18]): Eq (succeeds p3 p3) False
% 3.84/4.02 Clause #29 (by clausification #[1]): ∀ (a : state),
% 3.84/4.02 Eq
% 3.84/4.02 (∀ (Intermediate_state Goal_state : state),
% 3.84/4.02 And (succeeds Goal_state Intermediate_state) (succeeds Intermediate_state a) → succeeds Goal_state a)
% 3.84/4.02 True
% 3.84/4.02 Clause #30 (by clausification #[29]): ∀ (a a_1 : state),
% 3.84/4.02 Eq (∀ (Goal_state : state), And (succeeds Goal_state a) (succeeds a a_1) → succeeds Goal_state a_1) True
% 3.84/4.02 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : state), Eq (And (succeeds a a_1) (succeeds a_1 a_2) → succeeds a a_2) True
% 3.84/4.02 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : state), Or (Eq (And (succeeds a a_1) (succeeds a_1 a_2)) False) (Eq (succeeds a a_2) True)
% 3.84/4.02 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 : state), Or (Eq (succeeds a a_1) True) (Or (Eq (succeeds a a_2) False) (Eq (succeeds a_2 a_1) False))
% 3.84/4.02 Clause #34 (by clausification #[22]): Eq (succeeds p8 p7) True
% 3.84/4.02 Clause #35 (by superposition #[34, 33]): ∀ (a : state), Or (Eq (succeeds p8 a) True) (Or (Eq True False) (Eq (succeeds p7 a) False))
% 3.84/4.02 Clause #40 (by clausification #[23]): Eq (succeeds p7 p6) True
% 3.84/4.02 Clause #42 (by clausification #[2]): ∀ (a : state),
% 3.84/4.02 Eq
% 3.84/4.02 (∀ (Label : label) (Start_state : state),
% 3.84/4.02 And (has Start_state (goto Label)) (labels Label a) → succeeds a Start_state)
% 3.84/4.02 True
% 3.84/4.02 Clause #43 (by clausification #[42]): ∀ (a : label) (a_1 : state),
% 3.84/4.02 Eq (∀ (Start_state : state), And (has Start_state (goto a)) (labels a a_1) → succeeds a_1 Start_state) True
% 3.84/4.02 Clause #44 (by clausification #[43]): ∀ (a : state) (a_1 : label) (a_2 : state), Eq (And (has a (goto a_1)) (labels a_1 a_2) → succeeds a_2 a) True
% 3.84/4.02 Clause #45 (by clausification #[44]): ∀ (a : state) (a_1 : label) (a_2 : state),
% 3.84/4.02 Or (Eq (And (has a (goto a_1)) (labels a_1 a_2)) False) (Eq (succeeds a_2 a) True)
% 3.84/4.02 Clause #46 (by clausification #[45]): ∀ (a a_1 : state) (a_2 : label),
% 3.84/4.02 Or (Eq (succeeds a a_1) True) (Or (Eq (has a_1 (goto a_2)) False) (Eq (labels a_2 a) False))
% 3.84/4.02 Clause #48 (by superposition #[46, 17]): ∀ (a : state), Or (Eq (succeeds a p8) True) (Or (Eq (labels loop a) False) (Eq False True))
% 3.84/4.02 Clause #51 (by clausification #[27]): Eq (succeeds p6 p3) True
% 3.84/4.02 Clause #65 (by clausification #[35]): ∀ (a : state), Or (Eq (succeeds p8 a) True) (Eq (succeeds p7 a) False)
% 3.84/4.02 Clause #66 (by superposition #[65, 40]): Or (Eq (succeeds p8 p6) True) (Eq False True)
% 3.84/4.02 Clause #67 (by clausification #[66]): Eq (succeeds p8 p6) True
% 3.84/4.03 Clause #68 (by superposition #[67, 33]): ∀ (a : state), Or (Eq (succeeds p8 a) True) (Or (Eq True False) (Eq (succeeds p6 a) False))
% 3.84/4.03 Clause #69 (by clausification #[68]): ∀ (a : state), Or (Eq (succeeds p8 a) True) (Eq (succeeds p6 a) False)
% 3.84/4.03 Clause #70 (by superposition #[69, 51]): Or (Eq (succeeds p8 p3) True) (Eq False True)
% 3.84/4.03 Clause #71 (by clausification #[70]): Eq (succeeds p8 p3) True
% 3.84/4.03 Clause #100 (by clausification #[48]): ∀ (a : state), Or (Eq (succeeds a p8) True) (Eq (labels loop a) False)
% 3.84/4.03 Clause #101 (by superposition #[100, 7]): Or (Eq (succeeds p3 p8) True) (Eq False True)
% 3.84/4.03 Clause #102 (by clausification #[101]): Eq (succeeds p3 p8) True
% 3.84/4.03 Clause #105 (by superposition #[102, 33]): ∀ (a : state), Or (Eq (succeeds p3 a) True) (Or (Eq True False) (Eq (succeeds p8 a) False))
% 3.84/4.03 Clause #155 (by clausification #[105]): ∀ (a : state), Or (Eq (succeeds p3 a) True) (Eq (succeeds p8 a) False)
% 3.84/4.03 Clause #158 (by superposition #[155, 71]): Or (Eq (succeeds p3 p3) True) (Eq False True)
% 3.84/4.03 Clause #159 (by clausification #[158]): Eq (succeeds p3 p3) True
% 3.84/4.03 Clause #160 (by superposition #[159, 28]): Eq True False
% 3.84/4.03 Clause #166 (by clausification #[160]): False
% 3.84/4.03 SZS output end Proof for theBenchmark.p
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