%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : COM002_1 : TPTP v9.2.0. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n015.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 07:45:45 PM UTC 2025 % Result : Theorem 3.91s 4.10s % Output : Proof 3.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : COM002_1 : TPTP v9.2.0. Released v5.0.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n015.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 15:58:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.91/4.10 SZS status Theorem for theBenchmark.p % 3.91/4.10 SZS output start Proof for theBenchmark.p % 3.91/4.10 Clause #0 (by assumption #[]): Eq (∀ (Start_state Goal_state : state), follows Goal_state Start_state → succeeds Goal_state Start_state) True % 3.91/4.10 Clause #1 (by assumption #[]): Eq % 3.91/4.10 (∀ (Start_state Intermediate_state Goal_state : state), % 3.91/4.10 And (succeeds Goal_state Intermediate_state) (succeeds Intermediate_state Start_state) → % 3.91/4.10 succeeds Goal_state Start_state) % 3.91/4.10 True % 3.91/4.10 Clause #2 (by assumption #[]): Eq % 3.91/4.10 (∀ (Goal_state : state) (Label : label) (Start_state : state), % 3.91/4.10 And (has Start_state (goto Label)) (labels Label Goal_state) → succeeds Goal_state Start_state) % 3.91/4.10 True % 3.91/4.10 Clause #7 (by assumption #[]): Eq (labels loop p3) True % 3.91/4.10 Clause #12 (by assumption #[]): Eq (follows p6 p3) True % 3.91/4.10 Clause #14 (by assumption #[]): Eq (follows p7 p6) True % 3.91/4.10 Clause #16 (by assumption #[]): Eq (follows p8 p7) True % 3.91/4.10 Clause #17 (by assumption #[]): Eq (has p8 (goto loop)) True % 3.91/4.10 Clause #18 (by assumption #[]): Eq (Not (succeeds p3 p3)) True % 3.91/4.10 Clause #19 (by clausification #[0]): ∀ (a : state), Eq (∀ (Goal_state : state), follows Goal_state a → succeeds Goal_state a) True % 3.91/4.10 Clause #20 (by clausification #[19]): ∀ (a a_1 : state), Eq (follows a a_1 → succeeds a a_1) True % 3.91/4.10 Clause #21 (by clausification #[20]): ∀ (a a_1 : state), Or (Eq (follows a a_1) False) (Eq (succeeds a a_1) True) % 3.91/4.10 Clause #22 (by superposition #[21, 16]): Or (Eq (succeeds p8 p7) True) (Eq False True) % 3.91/4.10 Clause #23 (by superposition #[21, 14]): Or (Eq (succeeds p7 p6) True) (Eq False True) % 3.91/4.10 Clause #27 (by superposition #[12, 21]): Or (Eq (succeeds p6 p3) True) (Eq False True) % 3.91/4.10 Clause #28 (by clausification #[18]): Eq (succeeds p3 p3) False % 3.91/4.10 Clause #29 (by clausification #[1]): ∀ (a : state), % 3.91/4.10 Eq % 3.91/4.10 (∀ (Intermediate_state Goal_state : state), % 3.91/4.10 And (succeeds Goal_state Intermediate_state) (succeeds Intermediate_state a) → succeeds Goal_state a) % 3.91/4.10 True % 3.91/4.10 Clause #30 (by clausification #[29]): ∀ (a a_1 : state), % 3.91/4.10 Eq (∀ (Goal_state : state), And (succeeds Goal_state a) (succeeds a a_1) → succeeds Goal_state a_1) True % 3.91/4.10 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 % 3.91/4.10 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) % 3.91/4.10 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)) % 3.91/4.10 Clause #34 (by clausification #[22]): Eq (succeeds p8 p7) True % 3.91/4.10 Clause #35 (by superposition #[34, 33]): ∀ (a : state), Or (Eq (succeeds p8 a) True) (Or (Eq True False) (Eq (succeeds p7 a) False)) % 3.91/4.10 Clause #40 (by clausification #[23]): Eq (succeeds p7 p6) True % 3.91/4.10 Clause #42 (by clausification #[2]): ∀ (a : state), % 3.91/4.10 Eq % 3.91/4.10 (∀ (Label : label) (Start_state : state), % 3.91/4.10 And (has Start_state (goto Label)) (labels Label a) → succeeds a Start_state) % 3.91/4.10 True % 3.91/4.10 Clause #43 (by clausification #[42]): ∀ (a : label) (a_1 : state), % 3.91/4.10 Eq (∀ (Start_state : state), And (has Start_state (goto a)) (labels a a_1) → succeeds a_1 Start_state) True % 3.91/4.10 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 % 3.91/4.10 Clause #45 (by clausification #[44]): ∀ (a : state) (a_1 : label) (a_2 : state), % 3.91/4.10 Or (Eq (And (has a (goto a_1)) (labels a_1 a_2)) False) (Eq (succeeds a_2 a) True) % 3.91/4.10 Clause #46 (by clausification #[45]): ∀ (a a_1 : state) (a_2 : label), % 3.91/4.10 Or (Eq (succeeds a a_1) True) (Or (Eq (has a_1 (goto a_2)) False) (Eq (labels a_2 a) False)) % 3.91/4.10 Clause #48 (by superposition #[46, 17]): ∀ (a : state), Or (Eq (succeeds a p8) True) (Or (Eq (labels loop a) False) (Eq False True)) % 3.91/4.10 Clause #51 (by clausification #[27]): Eq (succeeds p6 p3) True % 3.91/4.10 Clause #65 (by clausification #[35]): ∀ (a : state), Or (Eq (succeeds p8 a) True) (Eq (succeeds p7 a) False) % 3.91/4.10 Clause #66 (by superposition #[65, 40]): Or (Eq (succeeds p8 p6) True) (Eq False True) % 3.91/4.10 Clause #67 (by clausification #[66]): Eq (succeeds p8 p6) True % 3.91/4.11 Clause #68 (by superposition #[67, 33]): ∀ (a : state), Or (Eq (succeeds p8 a) True) (Or (Eq True False) (Eq (succeeds p6 a) False)) % 3.91/4.11 Clause #69 (by clausification #[68]): ∀ (a : state), Or (Eq (succeeds p8 a) True) (Eq (succeeds p6 a) False) % 3.91/4.11 Clause #70 (by superposition #[69, 51]): Or (Eq (succeeds p8 p3) True) (Eq False True) % 3.91/4.11 Clause #71 (by clausification #[70]): Eq (succeeds p8 p3) True % 3.91/4.11 Clause #100 (by clausification #[48]): ∀ (a : state), Or (Eq (succeeds a p8) True) (Eq (labels loop a) False) % 3.91/4.11 Clause #101 (by superposition #[100, 7]): Or (Eq (succeeds p3 p8) True) (Eq False True) % 3.91/4.11 Clause #102 (by clausification #[101]): Eq (succeeds p3 p8) True % 3.91/4.11 Clause #105 (by superposition #[102, 33]): ∀ (a : state), Or (Eq (succeeds p3 a) True) (Or (Eq True False) (Eq (succeeds p8 a) False)) % 3.91/4.11 Clause #155 (by clausification #[105]): ∀ (a : state), Or (Eq (succeeds p3 a) True) (Eq (succeeds p8 a) False) % 3.91/4.11 Clause #158 (by superposition #[155, 71]): Or (Eq (succeeds p3 p3) True) (Eq False True) % 3.91/4.11 Clause #159 (by clausification #[158]): Eq (succeeds p3 p3) True % 3.91/4.11 Clause #160 (by superposition #[159, 28]): Eq True False % 3.91/4.11 Clause #166 (by clausification #[160]): False % 3.91/4.11 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------