%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWW567_5 : TPTP v9.2.0. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n029.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 08:06:26 PM UTC 2025 % Result : Theorem 19.66s 19.85s % Output : Proof 19.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SWW567_5 : TPTP v9.2.0. Released v6.0.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n029.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 10:41:23 EDT 2025 % 0.13/0.34 % CPUTime : % 19.66/19.85 SZS status Theorem for theBenchmark.p % 19.66/19.85 SZS output start Proof for theBenchmark.p % 19.66/19.85 Clause #0 (by assumption #[]): Eq (wTrt p h_a e (binOp (list char) (val (list char) v_1) bop e_2) t) True % 19.66/19.85 Clause #3 (by assumption #[]): Eq % 19.66/19.85 (∀ (M : Type) (T2 : ty) % 19.66/19.85 (P1 : % 19.66/19.85 list % 19.66/19.85 (product_prod (list char) % 19.66/19.85 (product_prod (list char) % 19.66/19.85 (product_prod (list (product_prod (list char) ty)) % 19.66/19.85 (list (product_prod (list char) (product_prod (list ty) (product_prod ty M)))))))), % 19.66/19.85 widen M P1 T2 T2) % 19.66/19.85 True % 19.66/19.85 Clause #99 (by assumption #[]): Eq % 19.66/19.85 (Not % 19.66/19.85 (Exists fun T => % 19.66/19.85 And (wTrt p h_a e (binOp (list char) (val (list char) v_1) bop e_2) T) % 19.66/19.85 (widen (product_prod (list (list char)) (exp (list char))) p T t))) % 19.66/19.85 True % 19.66/19.85 Clause #108 (by clausification #[3]): ∀ (a : Type), % 19.66/19.85 Eq % 19.66/19.85 (∀ (T2 : ty) % 19.66/19.85 (P1 : % 19.66/19.85 list % 19.66/19.85 (product_prod (list char) % 19.66/19.85 (product_prod (list char) % 19.66/19.85 (product_prod (list (product_prod (list char) ty)) % 19.66/19.85 (list (product_prod (list char) (product_prod (list ty) (product_prod ty a)))))))), % 19.66/19.85 widen a P1 T2 T2) % 19.66/19.85 True % 19.66/19.85 Clause #109 (by clausification #[108]): ∀ (a : Type) (a_1 : ty), % 19.66/19.85 Eq % 19.66/19.85 (∀ % 19.66/19.85 (P1 : % 19.66/19.85 list % 19.66/19.85 (product_prod (list char) % 19.66/19.85 (product_prod (list char) % 19.66/19.85 (product_prod (list (product_prod (list char) ty)) % 19.66/19.85 (list (product_prod (list char) (product_prod (list ty) (product_prod ty a)))))))), % 19.66/19.85 widen a P1 a_1 a_1) % 19.66/19.85 True % 19.66/19.85 Clause #110 (by clausification #[109]): ∀ (a : Type) % 19.66/19.85 (a_1 : % 19.66/19.85 list % 19.66/19.85 (product_prod (list char) % 19.66/19.85 (product_prod (list char) % 19.66/19.85 (product_prod (list (product_prod (list char) ty)) % 19.66/19.85 (list (product_prod (list char) (product_prod (list ty) (product_prod ty a)))))))) % 19.66/19.85 (a_2 : ty), Eq (widen a a_1 a_2 a_2) True % 19.66/19.85 Clause #1121 (by clausification #[99]): Eq % 19.66/19.85 (Exists fun T => % 19.66/19.85 And (wTrt p h_a e (binOp (list char) (val (list char) v_1) bop e_2) T) % 19.66/19.85 (widen (product_prod (list (list char)) (exp (list char))) p T t)) % 19.66/19.85 False % 19.66/19.85 Clause #1122 (by clausification #[1121]): ∀ (a : ty), % 19.66/19.85 Eq % 19.66/19.85 (And (wTrt p h_a e (binOp (list char) (val (list char) v_1) bop e_2) a) % 19.66/19.85 (widen (product_prod (list (list char)) (exp (list char))) p a t)) % 19.66/19.85 False % 19.66/19.85 Clause #1123 (by clausification #[1122]): ∀ (a : ty), % 19.66/19.85 Or (Eq (wTrt p h_a e (binOp (list char) (val (list char) v_1) bop e_2) a) False) % 19.66/19.85 (Eq (widen (product_prod (list (list char)) (exp (list char))) p a t) False) % 19.66/19.85 Clause #1124 (by superposition #[1123, 0]): Or (Eq (widen (product_prod (list (list char)) (exp (list char))) p t t) False) (Eq False True) % 19.66/19.85 Clause #1125 (by clausification #[1124]): Eq (widen (product_prod (list (list char)) (exp (list char))) p t t) False % 19.66/19.85 Clause #1126 (by superposition #[1125, 110]): Eq False True % 19.66/19.85 Clause #1127 (by clausification #[1126]): False % 19.66/19.85 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------