%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP049^1 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.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 07:51:06 PM UTC 2025 % Result : Theorem 4.15s 4.32s % Output : Proof 4.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ITP049^1 : TPTP v9.2.0. Released v7.5.0. % 0.13/0.13 % Command : duper %s % 0.13/0.34 % Computer : n023.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Oct 2 22:28:08 EDT 2025 % 0.13/0.35 % CPUTime : % 4.15/4.32 SZS status Theorem for theBenchmark.p % 4.15/4.32 SZS output start Proof for theBenchmark.p % 4.15/4.32 Clause #1 (by assumption #[]): Eq (finite772653738at_nat (e_a c) → finite772653738at_nat (edmond475474835dges_a c s t)) True % 4.15/4.32 Clause #3 (by assumption #[]): Eq (finite772653738at_nat (e_a c)) True % 4.15/4.32 Clause #338 (by assumption #[]): Eq (Not (finite772653738at_nat (edmond475474835dges_a c s t))) True % 4.15/4.32 Clause #341 (by clausification #[1]): Or (Eq (finite772653738at_nat (e_a c)) False) (Eq (finite772653738at_nat (edmond475474835dges_a c s t)) True) % 4.15/4.32 Clause #342 (by forward demodulation #[341, 3]): Or (Eq True False) (Eq (finite772653738at_nat (edmond475474835dges_a c s t)) True) % 4.15/4.32 Clause #343 (by clausification #[342]): Eq (finite772653738at_nat (edmond475474835dges_a c s t)) True % 4.15/4.32 Clause #734 (by clausification #[338]): Eq (finite772653738at_nat (edmond475474835dges_a c s t)) False % 4.15/4.32 Clause #735 (by superposition #[734, 343]): Eq False True % 4.15/4.32 Clause #738 (by clausification #[735]): False % 4.15/4.32 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------