%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : COM002_2 : TPTP v9.2.0. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n031.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 3.75s 3.92s % Output : Proof 3.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : COM002_2 : TPTP v9.2.0. Released v5.0.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n031.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 16:04:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.75/3.92 SZS status Theorem for theBenchmark.p % 3.75/3.92 SZS output start Proof for theBenchmark.p % 3.75/3.92 Clause #0 (by assumption #[]): Eq (∀ (Start_state Goal_state : state), Not (And (fails Goal_state Start_state) (follows Goal_state Start_state))) True % 3.75/3.92 Clause #1 (by assumption #[]): Eq % 3.75/3.92 (∀ (Intermediate_state Start_state Goal_state : state), % 3.75/3.92 fails Goal_state Start_state → Or (fails Goal_state Intermediate_state) (fails Intermediate_state Start_state)) % 3.75/3.92 True % 3.75/3.92 Clause #2 (by assumption #[]): Eq % 3.75/3.92 (∀ (Label : label) (Start_state Goal_state : state), % 3.75/3.92 Not (And (And (fails Goal_state Start_state) (has Start_state (goto Label))) (labels Label Goal_state))) % 3.75/3.92 True % 3.75/3.92 Clause #7 (by assumption #[]): Eq (labels loop p3) True % 3.75/3.92 Clause #12 (by assumption #[]): Eq (follows p6 p3) True % 3.75/3.92 Clause #14 (by assumption #[]): Eq (follows p7 p6) True % 3.75/3.92 Clause #16 (by assumption #[]): Eq (follows p8 p7) True % 3.75/3.92 Clause #17 (by assumption #[]): Eq (has p8 (goto loop)) True % 3.75/3.92 Clause #18 (by assumption #[]): Eq (Not (Not (fails p3 p3))) True % 3.75/3.92 Clause #19 (by clausification #[0]): ∀ (a : state), Eq (∀ (Goal_state : state), Not (And (fails Goal_state a) (follows Goal_state a))) True % 3.75/3.92 Clause #20 (by clausification #[19]): ∀ (a a_1 : state), Eq (Not (And (fails a a_1) (follows a a_1))) True % 3.75/3.92 Clause #21 (by clausification #[20]): ∀ (a a_1 : state), Eq (And (fails a a_1) (follows a a_1)) False % 3.75/3.92 Clause #22 (by clausification #[21]): ∀ (a a_1 : state), Or (Eq (fails a a_1) False) (Eq (follows a a_1) False) % 3.75/3.92 Clause #23 (by clausification #[18]): Eq (Not (fails p3 p3)) False % 3.75/3.92 Clause #24 (by clausification #[23]): Eq (fails p3 p3) True % 3.75/3.92 Clause #26 (by clausification #[1]): ∀ (a : state), % 3.75/3.92 Eq (∀ (Start_state Goal_state : state), fails Goal_state Start_state → Or (fails Goal_state a) (fails a Start_state)) % 3.75/3.92 True % 3.75/3.92 Clause #27 (by clausification #[26]): ∀ (a a_1 : state), Eq (∀ (Goal_state : state), fails Goal_state a → Or (fails Goal_state a_1) (fails a_1 a)) True % 3.75/3.92 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : state), Eq (fails a a_1 → Or (fails a a_2) (fails a_2 a_1)) True % 3.75/3.92 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 : state), Or (Eq (fails a a_1) False) (Eq (Or (fails a a_2) (fails a_2 a_1)) True) % 3.75/3.92 Clause #30 (by clausification #[29]): ∀ (a a_1 a_2 : state), Or (Eq (fails a a_1) False) (Or (Eq (fails a a_2) True) (Eq (fails a_2 a_1) True)) % 3.75/3.92 Clause #31 (by superposition #[30, 24]): ∀ (a : state), Or (Eq (fails p3 a) True) (Or (Eq (fails a p3) True) (Eq False True)) % 3.75/3.92 Clause #33 (by clausification #[2]): ∀ (a : label), % 3.75/3.92 Eq % 3.75/3.92 (∀ (Start_state Goal_state : state), % 3.75/3.92 Not (And (And (fails Goal_state Start_state) (has Start_state (goto a))) (labels a Goal_state))) % 3.75/3.92 True % 3.75/3.92 Clause #34 (by clausification #[33]): ∀ (a : state) (a_1 : label), % 3.75/3.92 Eq (∀ (Goal_state : state), Not (And (And (fails Goal_state a) (has a (goto a_1))) (labels a_1 Goal_state))) True % 3.75/3.92 Clause #35 (by clausification #[34]): ∀ (a a_1 : state) (a_2 : label), Eq (Not (And (And (fails a a_1) (has a_1 (goto a_2))) (labels a_2 a))) True % 3.75/3.92 Clause #36 (by clausification #[35]): ∀ (a a_1 : state) (a_2 : label), Eq (And (And (fails a a_1) (has a_1 (goto a_2))) (labels a_2 a)) False % 3.75/3.92 Clause #37 (by clausification #[36]): ∀ (a a_1 : state) (a_2 : label), Or (Eq (And (fails a a_1) (has a_1 (goto a_2))) False) (Eq (labels a_2 a) False) % 3.75/3.92 Clause #38 (by clausification #[37]): ∀ (a : label) (a_1 a_2 : state), % 3.75/3.92 Or (Eq (labels a a_1) False) (Or (Eq (fails a_1 a_2) False) (Eq (has a_2 (goto a)) False)) % 3.75/3.92 Clause #39 (by superposition #[38, 7]): ∀ (a : state), Or (Eq (fails p3 a) False) (Or (Eq (has a (goto loop)) False) (Eq False True)) % 3.75/3.92 Clause #40 (by clausification #[31]): ∀ (a : state), Or (Eq (fails p3 a) True) (Eq (fails a p3) True) % 3.75/3.92 Clause #43 (by superposition #[40, 22]): ∀ (a : state), Or (Eq (fails p3 a) True) (Or (Eq True False) (Eq (follows a p3) False)) % 3.75/3.92 Clause #49 (by clausification #[43]): ∀ (a : state), Or (Eq (fails p3 a) True) (Eq (follows a p3) False) % 3.75/3.92 Clause #50 (by superposition #[49, 12]): Or (Eq (fails p3 p6) True) (Eq False True) % 3.75/3.92 Clause #59 (by clausification #[50]): Eq (fails p3 p6) True % 3.75/3.93 Clause #61 (by superposition #[59, 30]): ∀ (a : state), Or (Eq True False) (Or (Eq (fails p3 a) True) (Eq (fails a p6) True)) % 3.75/3.93 Clause #66 (by clausification #[61]): ∀ (a : state), Or (Eq (fails p3 a) True) (Eq (fails a p6) True) % 3.75/3.93 Clause #70 (by superposition #[66, 22]): ∀ (a : state), Or (Eq (fails p3 a) True) (Or (Eq True False) (Eq (follows a p6) False)) % 3.75/3.93 Clause #73 (by clausification #[39]): ∀ (a : state), Or (Eq (fails p3 a) False) (Eq (has a (goto loop)) False) % 3.75/3.93 Clause #81 (by clausification #[70]): ∀ (a : state), Or (Eq (fails p3 a) True) (Eq (follows a p6) False) % 3.75/3.93 Clause #82 (by superposition #[81, 14]): Or (Eq (fails p3 p7) True) (Eq False True) % 3.75/3.93 Clause #83 (by clausification #[82]): Eq (fails p3 p7) True % 3.75/3.93 Clause #86 (by superposition #[83, 30]): ∀ (a : state), Or (Eq True False) (Or (Eq (fails p3 a) True) (Eq (fails a p7) True)) % 3.75/3.93 Clause #113 (by clausification #[86]): ∀ (a : state), Or (Eq (fails p3 a) True) (Eq (fails a p7) True) % 3.75/3.93 Clause #119 (by superposition #[113, 22]): ∀ (a : state), Or (Eq (fails p3 a) True) (Or (Eq True False) (Eq (follows a p7) False)) % 3.75/3.93 Clause #122 (by clausification #[119]): ∀ (a : state), Or (Eq (fails p3 a) True) (Eq (follows a p7) False) % 3.75/3.93 Clause #123 (by superposition #[122, 16]): Or (Eq (fails p3 p8) True) (Eq False True) % 3.75/3.93 Clause #124 (by clausification #[123]): Eq (fails p3 p8) True % 3.75/3.93 Clause #125 (by superposition #[124, 73]): Or (Eq True False) (Eq (has p8 (goto loop)) False) % 3.75/3.93 Clause #130 (by clausification #[125]): Eq (has p8 (goto loop)) False % 3.75/3.93 Clause #131 (by superposition #[130, 17]): Eq False True % 3.75/3.93 Clause #133 (by clausification #[131]): False % 3.75/3.93 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------