%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO061^4 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 08:08:30 PM UTC 2025 % Result : Theorem 5.17s 5.34s % Output : Proof 5.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYO061^4 : TPTP v9.2.0. Released v4.0.0. % 0.07/0.14 % Command : duper %s % 0.13/0.35 % Computer : n016.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 13:37:38 EDT 2025 % 0.13/0.35 % CPUTime : % 5.17/5.34 SZS status Theorem for theBenchmark.p % 5.17/5.34 SZS output start Proof for theBenchmark.p % 5.17/5.34 Clause #7 (by assumption #[]): Eq (Eq iatom fun P => P) True % 5.17/5.34 Clause #21 (by assumption #[]): Eq (ivalid (iimplies (iatom a) (iatom b))) True % 5.17/5.34 Clause #22 (by assumption #[]): Eq (Not (ivalid (iimplies (iatom a) (iatom b)))) True % 5.17/5.34 Clause #38 (by clausification #[7]): Eq iatom fun P => P % 5.17/5.34 Clause #39 (by argument congruence #[38]): ∀ (a : Iota → Prop), Eq (iatom a) ((fun P => P) a) % 5.17/5.34 Clause #44 (by betaEtaReduce #[39]): ∀ (a : Iota → Prop), Eq (iatom a) a % 5.17/5.34 Clause #45 (by backward demodulation #[44, 21]): Eq (ivalid (iimplies (iatom a) b)) True % 5.17/5.34 Clause #76 (by forward demodulation #[45, 44]): Eq (ivalid (iimplies a b)) True % 5.17/5.34 Clause #630 (by clausification #[22]): Eq (ivalid (iimplies (iatom a) (iatom b))) False % 5.17/5.34 Clause #631 (by forward demodulation #[630, 44]): Eq (ivalid (iimplies (iatom a) b)) False % 5.17/5.34 Clause #632 (by forward demodulation #[631, 44]): Eq (ivalid (iimplies a b)) False % 5.17/5.34 Clause #633 (by superposition #[632, 76]): Eq False True % 5.17/5.34 Clause #636 (by clausification #[633]): False % 5.17/5.34 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------