%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PHI022+1 : TPTP v9.2.0. Released v7.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n008.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 07:57:57 PM UTC 2025 % Result : Theorem 3.62s 3.81s % Output : Proof 3.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : PHI022+1 : TPTP v9.2.0. Released v7.4.0. % 0.03/0.13 % Command : duper %s % 0.12/0.34 % Computer : n008.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Oct 3 09:06:53 EDT 2025 % 0.12/0.34 % CPUTime : % 3.62/3.81 SZS status Theorem for theBenchmark.p % 3.62/3.81 SZS output start Proof for theBenchmark.p % 3.62/3.81 Clause #0 (by assumption #[]): Eq (∀ (X : Iota), Iff (selfCaused X) (And (essenceInvExistence X) (natureConcOnlyByExistence X))) True % 3.62/3.81 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (substance X) (And (inItself X) (conceivedThruItself X))) True % 3.62/3.81 Clause #17 (by assumption #[]): Eq (∀ (X : Iota), substance X → being X) True % 3.62/3.81 Clause #18 (by assumption #[]): Eq (∀ (X : Iota), inItself X → selfCaused X) True % 3.62/3.81 Clause #19 (by assumption #[]): Eq (∀ (X : Iota), being X → hasEssence X) True % 3.62/3.81 Clause #20 (by assumption #[]): Eq (∀ (X : Iota), And (essenceInvExistence X) (hasEssence X) → exists X) True % 3.62/3.81 Clause #21 (by assumption #[]): Eq (Not (∀ (X : Iota), substance X → exists X)) True % 3.62/3.81 Clause #22 (by clausification #[20]): ∀ (a : Iota), Eq (And (essenceInvExistence a) (hasEssence a) → exists a) True % 3.62/3.81 Clause #23 (by clausification #[22]): ∀ (a : Iota), Or (Eq (And (essenceInvExistence a) (hasEssence a)) False) (Eq (exists a) True) % 3.62/3.81 Clause #24 (by clausification #[23]): ∀ (a : Iota), Or (Eq (exists a) True) (Or (Eq (essenceInvExistence a) False) (Eq (hasEssence a) False)) % 3.62/3.81 Clause #25 (by clausification #[19]): ∀ (a : Iota), Eq (being a → hasEssence a) True % 3.62/3.81 Clause #26 (by clausification #[25]): ∀ (a : Iota), Or (Eq (being a) False) (Eq (hasEssence a) True) % 3.62/3.81 Clause #27 (by clausification #[17]): ∀ (a : Iota), Eq (substance a → being a) True % 3.62/3.81 Clause #28 (by clausification #[27]): ∀ (a : Iota), Or (Eq (substance a) False) (Eq (being a) True) % 3.62/3.81 Clause #29 (by clausification #[18]): ∀ (a : Iota), Eq (inItself a → selfCaused a) True % 3.62/3.81 Clause #30 (by clausification #[29]): ∀ (a : Iota), Or (Eq (inItself a) False) (Eq (selfCaused a) True) % 3.62/3.81 Clause #31 (by clausification #[21]): Eq (∀ (X : Iota), substance X → exists X) False % 3.62/3.81 Clause #32 (by clausification #[31]): ∀ (a : Iota), Eq (Not (substance (skS.0 0 a) → exists (skS.0 0 a))) True % 3.62/3.81 Clause #33 (by clausification #[32]): ∀ (a : Iota), Eq (substance (skS.0 0 a) → exists (skS.0 0 a)) False % 3.62/3.81 Clause #34 (by clausification #[33]): ∀ (a : Iota), Eq (substance (skS.0 0 a)) True % 3.62/3.81 Clause #35 (by clausification #[33]): ∀ (a : Iota), Eq (exists (skS.0 0 a)) False % 3.62/3.81 Clause #36 (by superposition #[34, 28]): ∀ (a : Iota), Or (Eq True False) (Eq (being (skS.0 0 a)) True) % 3.62/3.81 Clause #37 (by clausification #[0]): ∀ (a : Iota), Eq (Iff (selfCaused a) (And (essenceInvExistence a) (natureConcOnlyByExistence a))) True % 3.62/3.81 Clause #39 (by clausification #[37]): ∀ (a : Iota), Or (Eq (selfCaused a) False) (Eq (And (essenceInvExistence a) (natureConcOnlyByExistence a)) True) % 3.62/3.81 Clause #56 (by clausification #[39]): ∀ (a : Iota), Or (Eq (selfCaused a) False) (Eq (essenceInvExistence a) True) % 3.62/3.81 Clause #61 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (substance a) (And (inItself a) (conceivedThruItself a))) True % 3.62/3.81 Clause #63 (by clausification #[61]): ∀ (a : Iota), Or (Eq (substance a) False) (Eq (And (inItself a) (conceivedThruItself a)) True) % 3.62/3.81 Clause #66 (by clausification #[63]): ∀ (a : Iota), Or (Eq (substance a) False) (Eq (inItself a) True) % 3.62/3.81 Clause #68 (by superposition #[66, 34]): ∀ (a : Iota), Or (Eq (inItself (skS.0 0 a)) True) (Eq False True) % 3.62/3.81 Clause #84 (by clausification #[36]): ∀ (a : Iota), Eq (being (skS.0 0 a)) True % 3.62/3.81 Clause #85 (by superposition #[84, 26]): ∀ (a : Iota), Or (Eq True False) (Eq (hasEssence (skS.0 0 a)) True) % 3.62/3.81 Clause #87 (by clausification #[85]): ∀ (a : Iota), Eq (hasEssence (skS.0 0 a)) True % 3.62/3.81 Clause #88 (by clausification #[68]): ∀ (a : Iota), Eq (inItself (skS.0 0 a)) True % 3.62/3.81 Clause #89 (by superposition #[88, 30]): ∀ (a : Iota), Or (Eq True False) (Eq (selfCaused (skS.0 0 a)) True) % 3.62/3.81 Clause #91 (by clausification #[89]): ∀ (a : Iota), Eq (selfCaused (skS.0 0 a)) True % 3.62/3.81 Clause #93 (by superposition #[91, 56]): ∀ (a : Iota), Or (Eq True False) (Eq (essenceInvExistence (skS.0 0 a)) True) % 3.62/3.81 Clause #103 (by clausification #[93]): ∀ (a : Iota), Eq (essenceInvExistence (skS.0 0 a)) True % 3.62/3.81 Clause #104 (by superposition #[103, 24]): ∀ (a : Iota), Or (Eq (exists (skS.0 0 a)) True) (Or (Eq True False) (Eq (hasEssence (skS.0 0 a)) False)) % 3.62/3.81 Clause #192 (by clausification #[104]): ∀ (a : Iota), Or (Eq (exists (skS.0 0 a)) True) (Eq (hasEssence (skS.0 0 a)) False) % 3.62/3.81 Clause #193 (by forward demodulation #[192, 35]): ∀ (a : Iota), Or (Eq False True) (Eq (hasEssence (skS.0 0 a)) False) % 3.62/3.81 Clause #194 (by clausification #[193]): ∀ (a : Iota), Eq (hasEssence (skS.0 0 a)) False % 3.62/3.81 Clause #195 (by superposition #[194, 87]): Eq False True % 3.62/3.81 Clause #197 (by clausification #[195]): False % 3.62/3.81 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------