%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM844+1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n013.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 07:57:26 PM UTC 2025 % Result : Theorem 5.26s 5.43s % Output : Proof 5.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : NUM844+1 : TPTP v9.2.0. Released v4.1.0. % 0.03/0.14 % Command : duper %s % 0.13/0.35 % Computer : n013.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 : Fri Oct 3 07:51:38 EDT 2025 % 0.13/0.35 % CPUTime : % 5.26/5.43 SZS status Theorem for theBenchmark.p % 5.26/5.43 SZS output start Proof for theBenchmark.p % 5.26/5.43 Clause #0 (by assumption #[]): Eq % 5.26/5.43 (Not % 5.26/5.43 (Eq (vplus (vmul vd411 vd413) (vplus vd413 (vsucc vd411))) (vplus (vmul vd411 vd413) (vplus (vsucc vd411) vd413)))) % 5.26/5.43 True % 5.26/5.43 Clause #44 (by assumption #[]): Eq (∀ (Vd78 Vd79 : Iota), Eq (vplus Vd79 Vd78) (vplus Vd78 Vd79)) True % 5.26/5.43 Clause #65 (by clausification #[0]): Eq (Eq (vplus (vmul vd411 vd413) (vplus vd413 (vsucc vd411))) (vplus (vmul vd411 vd413) (vplus (vsucc vd411) vd413))) % 5.26/5.43 False % 5.26/5.43 Clause #66 (by clausification #[65]): Ne (vplus (vmul vd411 vd413) (vplus vd413 (vsucc vd411))) (vplus (vmul vd411 vd413) (vplus (vsucc vd411) vd413)) % 5.26/5.43 Clause #1407 (by clausification #[44]): ∀ (a : Iota), Eq (∀ (Vd79 : Iota), Eq (vplus Vd79 a) (vplus a Vd79)) True % 5.26/5.43 Clause #1408 (by clausification #[1407]): ∀ (a a_1 : Iota), Eq (Eq (vplus a a_1) (vplus a_1 a)) True % 5.26/5.43 Clause #1409 (by clausification #[1408]): ∀ (a a_1 : Iota), Eq (vplus a a_1) (vplus a_1 a) % 5.26/5.43 Clause #1410 (by backward positive simplify reflect #[1409, 66]): False % 5.26/5.43 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------