%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWV395+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n017.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 08:04:59 PM UTC 2025 % Result : Theorem 17.56s 17.76s % Output : Proof 17.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV395+1 : TPTP v9.2.0. Released v3.3.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n017.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 12:26:38 EDT 2025 % 0.13/0.34 % CPUTime : % 17.56/17.76 SZS status Theorem for theBenchmark.p % 17.56/17.76 SZS output start Proof for theBenchmark.p % 17.56/17.76 Clause #7 (by assumption #[]): Eq (∀ (U : Iota), Not (contains_slb create_slb U)) True % 17.56/17.76 Clause #27 (by assumption #[]): Eq (∀ (U V : Iota), Iff (ok (triple U V bad)) False) True % 17.56/17.76 Clause #30 (by assumption #[]): Eq (∀ (U V W X : Iota), Not (contains_slb V X) → Eq (remove_cpq (triple U V W) X) (triple U V bad)) True % 17.56/17.76 Clause #41 (by assumption #[]): Eq % 17.56/17.76 (Not % 17.56/17.76 (∀ (U V W X : Iota), % 17.56/17.76 And (And (pair_in_list create_slb W X) (strictly_less_than W X)) (ok (remove_cpq (triple U create_slb V) W)) → % 17.56/17.76 pair_in_list (remove_slb create_slb W) W X)) % 17.56/17.76 True % 17.56/17.76 Clause #46 (by clausification #[7]): ∀ (a : Iota), Eq (Not (contains_slb create_slb a)) True % 17.56/17.76 Clause #47 (by clausification #[46]): ∀ (a : Iota), Eq (contains_slb create_slb a) False % 17.56/17.76 Clause #152 (by clausification #[27]): ∀ (a : Iota), Eq (∀ (V : Iota), Iff (ok (triple a V bad)) False) True % 17.56/17.76 Clause #153 (by clausification #[152]): ∀ (a a_1 : Iota), Eq (Iff (ok (triple a a_1 bad)) False) True % 17.56/17.76 Clause #155 (by clausification #[153]): ∀ (a a_1 : Iota), Or (Eq (ok (triple a a_1 bad)) False) (Eq False True) % 17.56/17.76 Clause #156 (by clausification #[155]): ∀ (a a_1 : Iota), Eq (ok (triple a a_1 bad)) False % 17.56/17.76 Clause #559 (by clausification #[30]): ∀ (a : Iota), Eq (∀ (V W X : Iota), Not (contains_slb V X) → Eq (remove_cpq (triple a V W) X) (triple a V bad)) True % 17.56/17.76 Clause #560 (by clausification #[559]): ∀ (a a_1 : Iota), % 17.56/17.76 Eq (∀ (W X : Iota), Not (contains_slb a X) → Eq (remove_cpq (triple a_1 a W) X) (triple a_1 a bad)) True % 17.56/17.76 Clause #561 (by clausification #[560]): ∀ (a a_1 a_2 : Iota), % 17.56/17.76 Eq (∀ (X : Iota), Not (contains_slb a X) → Eq (remove_cpq (triple a_1 a a_2) X) (triple a_1 a bad)) True % 17.56/17.76 Clause #562 (by clausification #[561]): ∀ (a a_1 a_2 a_3 : Iota), Eq (Not (contains_slb a a_1) → Eq (remove_cpq (triple a_2 a a_3) a_1) (triple a_2 a bad)) True % 17.56/17.76 Clause #563 (by clausification #[562]): ∀ (a a_1 a_2 a_3 : Iota), % 17.56/17.76 Or (Eq (Not (contains_slb a a_1)) False) (Eq (Eq (remove_cpq (triple a_2 a a_3) a_1) (triple a_2 a bad)) True) % 17.56/17.76 Clause #564 (by clausification #[563]): ∀ (a a_1 a_2 a_3 : Iota), % 17.56/17.76 Or (Eq (Eq (remove_cpq (triple a a_1 a_2) a_3) (triple a a_1 bad)) True) (Eq (contains_slb a_1 a_3) True) % 17.56/17.76 Clause #565 (by clausification #[564]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (contains_slb a a_1) True) (Eq (remove_cpq (triple a_2 a a_3) a_1) (triple a_2 a bad)) % 17.56/17.76 Clause #566 (by superposition #[565, 47]): ∀ (a a_1 a_2 : Iota), Or (Eq (remove_cpq (triple a create_slb a_1) a_2) (triple a create_slb bad)) (Eq True False) % 17.56/17.76 Clause #1791 (by clausification #[41]): Eq % 17.56/17.76 (∀ (U V W X : Iota), % 17.56/17.76 And (And (pair_in_list create_slb W X) (strictly_less_than W X)) (ok (remove_cpq (triple U create_slb V) W)) → % 17.56/17.76 pair_in_list (remove_slb create_slb W) W X) % 17.56/17.76 False % 17.56/17.76 Clause #1792 (by clausification #[1791]): ∀ (a : Iota), % 17.56/17.76 Eq % 17.56/17.76 (Not % 17.56/17.76 (∀ (V W X : Iota), % 17.56/17.76 And (And (pair_in_list create_slb W X) (strictly_less_than W X)) % 17.56/17.76 (ok (remove_cpq (triple (skS.0 0 a) create_slb V) W)) → % 17.56/17.76 pair_in_list (remove_slb create_slb W) W X)) % 17.56/17.76 True % 17.56/17.76 Clause #1793 (by clausification #[1792]): ∀ (a : Iota), % 17.56/17.76 Eq % 17.56/17.76 (∀ (V W X : Iota), % 17.56/17.76 And (And (pair_in_list create_slb W X) (strictly_less_than W X)) % 17.56/17.76 (ok (remove_cpq (triple (skS.0 0 a) create_slb V) W)) → % 17.56/17.76 pair_in_list (remove_slb create_slb W) W X) % 17.56/17.76 False % 17.56/17.76 Clause #1794 (by clausification #[1793]): ∀ (a a_1 : Iota), % 17.56/17.76 Eq % 17.56/17.76 (Not % 17.56/17.76 (∀ (W X : Iota), % 17.56/17.76 And (And (pair_in_list create_slb W X) (strictly_less_than W X)) % 17.56/17.76 (ok (remove_cpq (triple (skS.0 0 a) create_slb (skS.0 1 a a_1)) W)) → % 17.56/17.76 pair_in_list (remove_slb create_slb W) W X)) % 17.56/17.76 True % 17.56/17.76 Clause #1795 (by clausification #[1794]): ∀ (a a_1 : Iota), % 17.56/17.76 Eq % 17.56/17.76 (∀ (W X : Iota), % 17.56/17.76 And (And (pair_in_list create_slb W X) (strictly_less_than W X)) % 17.56/17.76 (ok (remove_cpq (triple (skS.0 0 a) create_slb (skS.0 1 a a_1)) W)) → % 17.56/17.76 pair_in_list (remove_slb create_slb W) W X) % 17.56/17.76 False % 17.56/17.76 Clause #1796 (by clausification #[1795]): ∀ (a a_1 a_2 : Iota), % 17.61/17.81 Eq % 17.61/17.81 (Not % 17.61/17.81 (∀ (X : Iota), % 17.61/17.81 And (And (pair_in_list create_slb (skS.0 2 a a_1 a_2) X) (strictly_less_than (skS.0 2 a a_1 a_2) X)) % 17.61/17.81 (ok (remove_cpq (triple (skS.0 0 a) create_slb (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2))) → % 17.61/17.81 pair_in_list (remove_slb create_slb (skS.0 2 a a_1 a_2)) (skS.0 2 a a_1 a_2) X)) % 17.61/17.81 True % 17.61/17.81 Clause #1797 (by clausification #[1796]): ∀ (a a_1 a_2 : Iota), % 17.61/17.81 Eq % 17.61/17.81 (∀ (X : Iota), % 17.61/17.81 And (And (pair_in_list create_slb (skS.0 2 a a_1 a_2) X) (strictly_less_than (skS.0 2 a a_1 a_2) X)) % 17.61/17.81 (ok (remove_cpq (triple (skS.0 0 a) create_slb (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2))) → % 17.61/17.81 pair_in_list (remove_slb create_slb (skS.0 2 a a_1 a_2)) (skS.0 2 a a_1 a_2) X) % 17.61/17.81 False % 17.61/17.81 Clause #1798 (by clausification #[1797]): ∀ (a a_1 a_2 a_3 : Iota), % 17.61/17.81 Eq % 17.61/17.81 (Not % 17.61/17.81 (And % 17.61/17.81 (And (pair_in_list create_slb (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) % 17.61/17.81 (strictly_less_than (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 17.61/17.81 (ok (remove_cpq (triple (skS.0 0 a) create_slb (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2))) → % 17.61/17.81 pair_in_list (remove_slb create_slb (skS.0 2 a a_1 a_2)) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 17.61/17.81 True % 17.61/17.81 Clause #1799 (by clausification #[1798]): ∀ (a a_1 a_2 a_3 : Iota), % 17.61/17.81 Eq % 17.61/17.81 (And % 17.61/17.81 (And (pair_in_list create_slb (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) % 17.61/17.81 (strictly_less_than (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 17.61/17.81 (ok (remove_cpq (triple (skS.0 0 a) create_slb (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2))) → % 17.61/17.81 pair_in_list (remove_slb create_slb (skS.0 2 a a_1 a_2)) (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) % 17.61/17.81 False % 17.61/17.81 Clause #1800 (by clausification #[1799]): ∀ (a a_1 a_2 a_3 : Iota), % 17.61/17.81 Eq % 17.61/17.81 (And % 17.61/17.81 (And (pair_in_list create_slb (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) % 17.61/17.81 (strictly_less_than (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))) % 17.61/17.81 (ok (remove_cpq (triple (skS.0 0 a) create_slb (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2)))) % 17.61/17.81 True % 17.61/17.81 Clause #1802 (by clausification #[1800]): ∀ (a a_1 a_2 : Iota), Eq (ok (remove_cpq (triple (skS.0 0 a) create_slb (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2))) True % 17.61/17.81 Clause #7912 (by clausification #[566]): ∀ (a a_1 a_2 : Iota), Eq (remove_cpq (triple a create_slb a_1) a_2) (triple a create_slb bad) % 17.61/17.81 Clause #7913 (by backward demodulation #[7912, 1802]): ∀ (a : Iota), Eq (ok (triple (skS.0 0 a) create_slb bad)) True % 17.61/17.81 Clause #7925 (by superposition #[7913, 156]): Eq True False % 17.61/17.81 Clause #7949 (by clausification #[7925]): False % 17.61/17.81 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------