%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM561+2 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n018.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 07:56:44 PM UTC 2025 % Result : Theorem 222.90s 223.11s % Output : Proof 222.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM561+2 : TPTP v9.2.0. Released v4.0.0. % 0.13/0.14 % Command : duper %s % 0.14/0.35 % Computer : n018.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Fri Oct 3 06:54:23 EDT 2025 % 0.14/0.35 % CPUTime : % 222.90/223.11 SZS status Theorem for theBenchmark.p % 222.90/223.11 SZS output start Proof for theBenchmark.p % 222.90/223.11 Clause #69 (by assumption #[]): Eq (aElementOf0 xx (szDzozmdt0 xF)) True % 222.90/223.11 Clause #70 (by assumption #[]): Eq % 222.90/223.11 (Not % 222.90/223.11 (Or (Exists fun W0 => And (aElementOf0 W0 (szDzozmdt0 xF)) (Eq (sdtlpdtrp0 xF W0) (sdtlpdtrp0 xF xx))) % 222.90/223.11 (aElementOf0 (sdtlpdtrp0 xF xx) (sdtlcdtrc0 xF (szDzozmdt0 xF))))) % 222.90/223.11 True % 222.90/223.11 Clause #907 (by clausification #[70]): Eq % 222.90/223.11 (Or (Exists fun W0 => And (aElementOf0 W0 (szDzozmdt0 xF)) (Eq (sdtlpdtrp0 xF W0) (sdtlpdtrp0 xF xx))) % 222.90/223.11 (aElementOf0 (sdtlpdtrp0 xF xx) (sdtlcdtrc0 xF (szDzozmdt0 xF)))) % 222.90/223.11 False % 222.90/223.11 Clause #909 (by clausification #[907]): Eq (Exists fun W0 => And (aElementOf0 W0 (szDzozmdt0 xF)) (Eq (sdtlpdtrp0 xF W0) (sdtlpdtrp0 xF xx))) False % 222.90/223.11 Clause #59298 (by clausification #[909]): ∀ (a : Iota), Eq (And (aElementOf0 a (szDzozmdt0 xF)) (Eq (sdtlpdtrp0 xF a) (sdtlpdtrp0 xF xx))) False % 222.90/223.11 Clause #59299 (by clausification #[59298]): ∀ (a : Iota), Or (Eq (aElementOf0 a (szDzozmdt0 xF)) False) (Eq (Eq (sdtlpdtrp0 xF a) (sdtlpdtrp0 xF xx)) False) % 222.90/223.11 Clause #59300 (by clausification #[59299]): ∀ (a : Iota), Or (Eq (aElementOf0 a (szDzozmdt0 xF)) False) (Ne (sdtlpdtrp0 xF a) (sdtlpdtrp0 xF xx)) % 222.90/223.11 Clause #59301 (by superposition #[59300, 69]): Or (Ne (sdtlpdtrp0 xF xx) (sdtlpdtrp0 xF xx)) (Eq False True) % 222.90/223.11 Clause #59303 (by clausification #[59301]): Ne (sdtlpdtrp0 xF xx) (sdtlpdtrp0 xF xx) % 222.90/223.11 Clause #59304 (by eliminate resolved literals #[59303]): False % 222.90/223.11 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------