%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM519+3 : TPTP v9.2.0. Released v4.0.0. % 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 07:56:38 PM UTC 2025 % Result : Theorem 7.12s 7.34s % Output : Proof 7.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : NUM519+3 : TPTP v9.2.0. Released v4.0.0. % 0.13/0.14 % Command : duper %s % 0.14/0.36 % Computer : n031.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Fri Oct 3 08:49:38 EDT 2025 % 0.14/0.36 % CPUTime : % 7.12/7.34 SZS status Theorem for theBenchmark.p % 7.12/7.34 SZS output start Proof for theBenchmark.p % 7.12/7.34 Clause #50 (by assumption #[]): Eq % 7.12/7.34 (Or (And (Exists fun W0 => And (aNaturalNumber0 W0) (Eq xn (sdtasdt0 xr W0))) (doDivides0 xr xn)) % 7.12/7.34 (And (Exists fun W0 => And (aNaturalNumber0 W0) (Eq xm (sdtasdt0 xr W0))) (doDivides0 xr xm))) % 7.12/7.34 True % 7.12/7.34 Clause #51 (by assumption #[]): Eq (Not (Or (Exists fun W0 => And (aNaturalNumber0 W0) (Eq xn (sdtasdt0 xr W0))) (doDivides0 xr xn))) True % 7.12/7.34 Clause #52 (by assumption #[]): Eq (Not (Or (Exists fun W0 => And (aNaturalNumber0 W0) (Eq xm (sdtasdt0 xr W0))) (doDivides0 xr xm))) True % 7.12/7.34 Clause #3185 (by clausification #[50]): Or (Eq (And (Exists fun W0 => And (aNaturalNumber0 W0) (Eq xn (sdtasdt0 xr W0))) (doDivides0 xr xn)) True) % 7.12/7.34 (Eq (And (Exists fun W0 => And (aNaturalNumber0 W0) (Eq xm (sdtasdt0 xr W0))) (doDivides0 xr xm)) True) % 7.12/7.34 Clause #3186 (by clausification #[3185]): Or (Eq (And (Exists fun W0 => And (aNaturalNumber0 W0) (Eq xm (sdtasdt0 xr W0))) (doDivides0 xr xm)) True) % 7.12/7.34 (Eq (doDivides0 xr xn) True) % 7.12/7.34 Clause #3188 (by clausification #[3186]): Or (Eq (doDivides0 xr xn) True) (Eq (doDivides0 xr xm) True) % 7.12/7.34 Clause #3400 (by clausification #[51]): Eq (Or (Exists fun W0 => And (aNaturalNumber0 W0) (Eq xn (sdtasdt0 xr W0))) (doDivides0 xr xn)) False % 7.12/7.34 Clause #3401 (by clausification #[3400]): Eq (doDivides0 xr xn) False % 7.12/7.34 Clause #3403 (by superposition #[3401, 3188]): Or (Eq False True) (Eq (doDivides0 xr xm) True) % 7.12/7.34 Clause #3404 (by clausification #[3403]): Eq (doDivides0 xr xm) True % 7.12/7.34 Clause #3491 (by clausification #[52]): Eq (Or (Exists fun W0 => And (aNaturalNumber0 W0) (Eq xm (sdtasdt0 xr W0))) (doDivides0 xr xm)) False % 7.12/7.34 Clause #3492 (by clausification #[3491]): Eq (doDivides0 xr xm) False % 7.12/7.34 Clause #3494 (by superposition #[3492, 3404]): Eq False True % 7.12/7.34 Clause #3495 (by clausification #[3494]): False % 7.12/7.34 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------