%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO012^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.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 08:08:25 PM UTC 2025 % Result : Theorem 3.53s 3.69s % Output : Proof 3.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYO012^1 : TPTP v9.2.0. Released v3.7.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n002.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 : Fri Oct 3 13:46:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.53/3.69 SZS status Theorem for theBenchmark.p % 3.53/3.69 SZS output start Proof for theBenchmark.p % 3.53/3.69 Clause #0 (by assumption #[]): Eq (Not (p (And a b) → p (And b a))) True % 3.53/3.69 Clause #1 (by clausification #[0]): Eq (p (And a b) → p (And b a)) False % 3.53/3.69 Clause #2 (by clausification #[1]): Eq (p (And a b)) True % 3.53/3.69 Clause #3 (by clausification #[1]): Eq (p (And b a)) False % 3.53/3.69 Clause #4 (by identity loobHoist #[2]): Or (Eq (p True) True) (Eq (And a b) False) % 3.53/3.69 Clause #5 (by identity boolHoist #[2]): Or (Eq (p False) True) (Eq (And a b) True) % 3.53/3.69 Clause #6 (by clausification #[4]): Or (Eq (p True) True) (Or (Eq a False) (Eq b False)) % 3.53/3.69 Clause #7 (by identity loobHoist #[3]): Or (Eq (p True) False) (Eq (And b a) False) % 3.53/3.69 Clause #8 (by identity boolHoist #[3]): Or (Eq (p False) False) (Eq (And b a) True) % 3.53/3.69 Clause #9 (by clausification #[7]): Or (Eq (p True) False) (Or (Eq b False) (Eq a False)) % 3.53/3.69 Clause #10 (by clausification #[8]): Or (Eq (p False) False) (Eq a True) % 3.53/3.69 Clause #11 (by clausification #[8]): Or (Eq (p False) False) (Eq b True) % 3.53/3.69 Clause #12 (by clausification #[5]): Or (Eq (p False) True) (Eq b True) % 3.53/3.69 Clause #13 (by clausification #[5]): Or (Eq (p False) True) (Eq a True) % 3.53/3.69 Clause #15 (by superposition #[12, 11]): Or (Eq b True) (Or (Eq True False) (Eq b True)) % 3.53/3.69 Clause #16 (by superposition #[13, 10]): Or (Eq a True) (Or (Eq True False) (Eq a True)) % 3.53/3.69 Clause #18 (by clausification #[15]): Or (Eq b True) (Eq b True) % 3.53/3.69 Clause #19 (by eliminate duplicate literals #[18]): Eq b True % 3.53/3.69 Clause #20 (by backward demodulation #[19, 6]): Or (Eq (p True) True) (Or (Eq a False) (Eq True False)) % 3.53/3.69 Clause #21 (by backward demodulation #[19, 9]): Or (Eq (p True) False) (Or (Eq True False) (Eq a False)) % 3.53/3.69 Clause #28 (by clausification #[16]): Or (Eq a True) (Eq a True) % 3.53/3.69 Clause #29 (by eliminate duplicate literals #[28]): Eq a True % 3.53/3.69 Clause #30 (by clausification #[21]): Or (Eq (p True) False) (Eq a False) % 3.53/3.69 Clause #31 (by forward demodulation #[30, 29]): Or (Eq (p True) False) (Eq True False) % 3.53/3.69 Clause #32 (by clausification #[31]): Eq (p True) False % 3.53/3.69 Clause #33 (by clausification #[20]): Or (Eq (p True) True) (Eq a False) % 3.53/3.69 Clause #34 (by forward demodulation #[33, 29]): Or (Eq (p True) True) (Eq True False) % 3.53/3.69 Clause #35 (by clausification #[34]): Eq (p True) True % 3.53/3.69 Clause #36 (by superposition #[35, 32]): Eq True False % 3.53/3.69 Clause #37 (by clausification #[36]): False % 3.53/3.69 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------