%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KLE056+1 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n029.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 07:52:20 PM UTC 2025 % Result : Theorem 7.60s 7.78s % Output : Proof 7.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KLE056+1 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % Command : duper %s % 0.13/0.35 % Computer : n029.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 16:58:08 EDT 2025 % 0.13/0.35 % CPUTime : % 7.60/7.78 SZS status Theorem for theBenchmark.p % 7.60/7.78 SZS output start Proof for theBenchmark.p % 7.60/7.78 Clause #2 (by assumption #[]): Eq (∀ (A : Iota), Eq (addition A zero) A) True % 7.60/7.78 Clause #10 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication zero A) zero) True % 7.60/7.78 Clause #12 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (addition X0 (multiplication (domain X0) X0)) (multiplication (domain X0) X0)) True % 7.60/7.78 Clause #17 (by assumption #[]): Eq (Not (∀ (X0 : Iota), Eq (domain X0) zero → Eq X0 zero)) True % 7.60/7.78 Clause #21 (by clausification #[10]): ∀ (a : Iota), Eq (Eq (multiplication zero a) zero) True % 7.60/7.78 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (multiplication zero a) zero % 7.60/7.78 Clause #25 (by clausification #[17]): Eq (∀ (X0 : Iota), Eq (domain X0) zero → Eq X0 zero) False % 7.60/7.78 Clause #26 (by clausification #[25]): ∀ (a : Iota), Eq (Not (Eq (domain (skS.0 0 a)) zero → Eq (skS.0 0 a) zero)) True % 7.60/7.78 Clause #27 (by clausification #[26]): ∀ (a : Iota), Eq (Eq (domain (skS.0 0 a)) zero → Eq (skS.0 0 a) zero) False % 7.60/7.78 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (Eq (domain (skS.0 0 a)) zero) True % 7.60/7.78 Clause #29 (by clausification #[27]): ∀ (a : Iota), Eq (Eq (skS.0 0 a) zero) False % 7.60/7.78 Clause #30 (by clausification #[28]): ∀ (a : Iota), Eq (domain (skS.0 0 a)) zero % 7.60/7.78 Clause #36 (by clausification #[2]): ∀ (a : Iota), Eq (Eq (addition a zero) a) True % 7.60/7.78 Clause #37 (by clausification #[36]): ∀ (a : Iota), Eq (addition a zero) a % 7.60/7.78 Clause #151 (by clausification #[12]): ∀ (a : Iota), Eq (Eq (addition a (multiplication (domain a) a)) (multiplication (domain a) a)) True % 7.60/7.78 Clause #152 (by clausification #[151]): ∀ (a : Iota), Eq (addition a (multiplication (domain a) a)) (multiplication (domain a) a) % 7.60/7.78 Clause #160 (by superposition #[152, 30]): ∀ (a : Iota), Eq (addition (skS.0 0 a) (multiplication zero (skS.0 0 a))) (multiplication zero (skS.0 0 a)) % 7.60/7.78 Clause #215 (by clausification #[29]): ∀ (a : Iota), Ne (skS.0 0 a) zero % 7.60/7.78 Clause #2930 (by forward demodulation #[160, 22]): ∀ (a : Iota), Eq (addition (skS.0 0 a) zero) (multiplication zero (skS.0 0 a)) % 7.60/7.78 Clause #2931 (by forward demodulation #[2930, 22]): ∀ (a : Iota), Eq (addition (skS.0 0 a) zero) zero % 7.60/7.78 Clause #2932 (by superposition #[2931, 37]): ∀ (a : Iota), Eq zero (skS.0 0 a) % 7.60/7.78 Clause #2962 (by forward contextual literal cutting #[2932, 215]): False % 7.60/7.78 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------