%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KLE086+1 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 07:52:22 PM UTC 2025 % Result : Theorem 3.72s 3.92s % Output : Proof 3.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KLE086+1 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.13 % Command : duper %s % 0.12/0.34 % Computer : n026.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 16:36:38 EDT 2025 % 0.12/0.34 % CPUTime : % 3.72/3.92 SZS status Theorem for theBenchmark.p % 3.72/3.92 SZS output start Proof for theBenchmark.p % 3.72/3.92 Clause #2 (by assumption #[]): Eq (∀ (A : Iota), Eq (addition A zero) A) True % 3.72/3.92 Clause #5 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication A one) A) True % 3.72/3.92 Clause #12 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (multiplication (antidomain X0) X0) zero) True % 3.72/3.92 Clause #14 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (addition (antidomain (antidomain X0)) (antidomain X0)) one) True % 3.72/3.92 Clause #15 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (domain X0) (antidomain (antidomain X0))) True % 3.72/3.92 Clause #20 (by assumption #[]): Eq (Not (Eq (domain zero) zero)) True % 3.72/3.92 Clause #21 (by clausification #[20]): Eq (Eq (domain zero) zero) False % 3.72/3.92 Clause #22 (by clausification #[21]): Ne (domain zero) zero % 3.72/3.92 Clause #34 (by clausification #[5]): ∀ (a : Iota), Eq (Eq (multiplication a one) a) True % 3.72/3.92 Clause #35 (by clausification #[34]): ∀ (a : Iota), Eq (multiplication a one) a % 3.72/3.92 Clause #36 (by clausification #[2]): ∀ (a : Iota), Eq (Eq (addition a zero) a) True % 3.72/3.92 Clause #37 (by clausification #[36]): ∀ (a : Iota), Eq (addition a zero) a % 3.72/3.92 Clause #98 (by clausification #[15]): ∀ (a : Iota), Eq (Eq (domain a) (antidomain (antidomain a))) True % 3.72/3.92 Clause #99 (by clausification #[98]): ∀ (a : Iota), Eq (domain a) (antidomain (antidomain a)) % 3.72/3.92 Clause #129 (by clausification #[12]): ∀ (a : Iota), Eq (Eq (multiplication (antidomain a) a) zero) True % 3.72/3.92 Clause #130 (by clausification #[129]): ∀ (a : Iota), Eq (multiplication (antidomain a) a) zero % 3.72/3.92 Clause #131 (by superposition #[130, 35]): Eq zero (antidomain one) % 3.72/3.92 Clause #152 (by superposition #[131, 99]): Eq (domain one) (antidomain zero) % 3.72/3.92 Clause #190 (by clausification #[14]): ∀ (a : Iota), Eq (Eq (addition (antidomain (antidomain a)) (antidomain a)) one) True % 3.72/3.92 Clause #191 (by clausification #[190]): ∀ (a : Iota), Eq (addition (antidomain (antidomain a)) (antidomain a)) one % 3.72/3.92 Clause #192 (by forward demodulation #[191, 99]): ∀ (a : Iota), Eq (addition (domain a) (antidomain a)) one % 3.72/3.92 Clause #200 (by superposition #[192, 131]): Eq (addition (domain one) zero) one % 3.72/3.92 Clause #203 (by forward demodulation #[200, 152]): Eq (addition (antidomain zero) zero) one % 3.72/3.92 Clause #204 (by superposition #[203, 37]): Eq one (antidomain zero) % 3.72/3.92 Clause #213 (by superposition #[204, 99]): Eq (domain zero) (antidomain one) % 3.72/3.92 Clause #221 (by forward demodulation #[213, 131]): Eq (domain zero) zero % 3.72/3.92 Clause #222 (by forward contextual literal cutting #[221, 22]): False % 3.72/3.92 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------