TSTP Solution File: SWV395+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWV395+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n032.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 : Thu Aug 31 21:59:01 EDT 2023
% Result : Theorem 17.58s 17.82s
% Output : Proof 17.70s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV395+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : duper %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Aug 29 03:30:46 EDT 2023
% 0.11/0.31 % CPUTime :
% 17.58/17.82 SZS status Theorem for theBenchmark.p
% 17.58/17.82 SZS output start Proof for theBenchmark.p
% 17.58/17.82 Clause #7 (by assumption #[]): Eq (∀ (U : Iota), Not (contains_slb create_slb U)) True
% 17.58/17.82 Clause #27 (by assumption #[]): Eq (∀ (U V : Iota), Iff (ok (triple U V bad)) False) True
% 17.58/17.82 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
% 17.58/17.82 Clause #41 (by assumption #[]): Eq
% 17.58/17.82 (Not
% 17.58/17.82 (∀ (U V W X : Iota),
% 17.58/17.82 And (And (pair_in_list create_slb W X) (strictly_less_than W X)) (ok (remove_cpq (triple U create_slb V) W)) →
% 17.58/17.82 pair_in_list (remove_slb create_slb W) W X))
% 17.58/17.82 True
% 17.58/17.82 Clause #46 (by clausification #[7]): ∀ (a : Iota), Eq (Not (contains_slb create_slb a)) True
% 17.58/17.82 Clause #47 (by clausification #[46]): ∀ (a : Iota), Eq (contains_slb create_slb a) False
% 17.58/17.82 Clause #152 (by clausification #[27]): ∀ (a : Iota), Eq (∀ (V : Iota), Iff (ok (triple a V bad)) False) True
% 17.58/17.82 Clause #153 (by clausification #[152]): ∀ (a a_1 : Iota), Eq (Iff (ok (triple a a_1 bad)) False) True
% 17.58/17.82 Clause #155 (by clausification #[153]): ∀ (a a_1 : Iota), Or (Eq (ok (triple a a_1 bad)) False) (Eq False True)
% 17.58/17.82 Clause #156 (by clausification #[155]): ∀ (a a_1 : Iota), Eq (ok (triple a a_1 bad)) False
% 17.58/17.82 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
% 17.58/17.82 Clause #560 (by clausification #[559]): ∀ (a a_1 : Iota),
% 17.58/17.82 Eq (∀ (W X : Iota), Not (contains_slb a X) → Eq (remove_cpq (triple a_1 a W) X) (triple a_1 a bad)) True
% 17.58/17.82 Clause #561 (by clausification #[560]): ∀ (a a_1 a_2 : Iota),
% 17.58/17.82 Eq (∀ (X : Iota), Not (contains_slb a X) → Eq (remove_cpq (triple a_1 a a_2) X) (triple a_1 a bad)) True
% 17.58/17.82 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
% 17.58/17.82 Clause #563 (by clausification #[562]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.58/17.82 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)
% 17.58/17.82 Clause #564 (by clausification #[563]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.58/17.82 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)
% 17.58/17.82 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))
% 17.58/17.82 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)
% 17.58/17.82 Clause #1791 (by clausification #[41]): Eq
% 17.58/17.82 (∀ (U V W X : Iota),
% 17.58/17.82 And (And (pair_in_list create_slb W X) (strictly_less_than W X)) (ok (remove_cpq (triple U create_slb V) W)) →
% 17.58/17.82 pair_in_list (remove_slb create_slb W) W X)
% 17.58/17.82 False
% 17.58/17.82 Clause #1792 (by clausification #[1791]): ∀ (a : Iota),
% 17.58/17.82 Eq
% 17.58/17.82 (Not
% 17.58/17.82 (∀ (V W X : Iota),
% 17.58/17.82 And (And (pair_in_list create_slb W X) (strictly_less_than W X))
% 17.58/17.82 (ok (remove_cpq (triple (skS.0 0 a) create_slb V) W)) →
% 17.58/17.82 pair_in_list (remove_slb create_slb W) W X))
% 17.58/17.82 True
% 17.58/17.82 Clause #1793 (by clausification #[1792]): ∀ (a : Iota),
% 17.58/17.82 Eq
% 17.58/17.82 (∀ (V W X : Iota),
% 17.58/17.82 And (And (pair_in_list create_slb W X) (strictly_less_than W X))
% 17.58/17.82 (ok (remove_cpq (triple (skS.0 0 a) create_slb V) W)) →
% 17.58/17.82 pair_in_list (remove_slb create_slb W) W X)
% 17.58/17.82 False
% 17.58/17.82 Clause #1794 (by clausification #[1793]): ∀ (a a_1 : Iota),
% 17.58/17.82 Eq
% 17.58/17.82 (Not
% 17.58/17.82 (∀ (W X : Iota),
% 17.58/17.82 And (And (pair_in_list create_slb W X) (strictly_less_than W X))
% 17.58/17.82 (ok (remove_cpq (triple (skS.0 0 a) create_slb (skS.0 1 a a_1)) W)) →
% 17.58/17.82 pair_in_list (remove_slb create_slb W) W X))
% 17.58/17.82 True
% 17.58/17.82 Clause #1795 (by clausification #[1794]): ∀ (a a_1 : Iota),
% 17.58/17.82 Eq
% 17.58/17.82 (∀ (W X : Iota),
% 17.58/17.82 And (And (pair_in_list create_slb W X) (strictly_less_than W X))
% 17.58/17.82 (ok (remove_cpq (triple (skS.0 0 a) create_slb (skS.0 1 a a_1)) W)) →
% 17.58/17.82 pair_in_list (remove_slb create_slb W) W X)
% 17.58/17.82 False
% 17.58/17.82 Clause #1796 (by clausification #[1795]): ∀ (a a_1 a_2 : Iota),
% 17.70/17.87 Eq
% 17.70/17.87 (Not
% 17.70/17.87 (∀ (X : Iota),
% 17.70/17.87 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))
% 17.70/17.87 (ok (remove_cpq (triple (skS.0 0 a) create_slb (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2))) →
% 17.70/17.87 pair_in_list (remove_slb create_slb (skS.0 2 a a_1 a_2)) (skS.0 2 a a_1 a_2) X))
% 17.70/17.87 True
% 17.70/17.87 Clause #1797 (by clausification #[1796]): ∀ (a a_1 a_2 : Iota),
% 17.70/17.87 Eq
% 17.70/17.87 (∀ (X : Iota),
% 17.70/17.87 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))
% 17.70/17.87 (ok (remove_cpq (triple (skS.0 0 a) create_slb (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2))) →
% 17.70/17.87 pair_in_list (remove_slb create_slb (skS.0 2 a a_1 a_2)) (skS.0 2 a a_1 a_2) X)
% 17.70/17.87 False
% 17.70/17.87 Clause #1798 (by clausification #[1797]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.70/17.87 Eq
% 17.70/17.87 (Not
% 17.70/17.87 (And
% 17.70/17.87 (And (pair_in_list create_slb (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))
% 17.70/17.87 (strictly_less_than (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 17.70/17.87 (ok (remove_cpq (triple (skS.0 0 a) create_slb (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2))) →
% 17.70/17.87 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)))
% 17.70/17.87 True
% 17.70/17.87 Clause #1799 (by clausification #[1798]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.70/17.87 Eq
% 17.70/17.87 (And
% 17.70/17.87 (And (pair_in_list create_slb (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))
% 17.70/17.87 (strictly_less_than (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 17.70/17.87 (ok (remove_cpq (triple (skS.0 0 a) create_slb (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2))) →
% 17.70/17.87 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))
% 17.70/17.87 False
% 17.70/17.87 Clause #1800 (by clausification #[1799]): ∀ (a a_1 a_2 a_3 : Iota),
% 17.70/17.87 Eq
% 17.70/17.87 (And
% 17.70/17.87 (And (pair_in_list create_slb (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))
% 17.70/17.87 (strictly_less_than (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 17.70/17.87 (ok (remove_cpq (triple (skS.0 0 a) create_slb (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2))))
% 17.70/17.87 True
% 17.70/17.87 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
% 17.70/17.87 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)
% 17.70/17.87 Clause #7913 (by backward demodulation #[7912, 1802]): ∀ (a : Iota), Eq (ok (triple (skS.0 0 a) create_slb bad)) True
% 17.70/17.87 Clause #7925 (by superposition #[7913, 156]): Eq True False
% 17.70/17.87 Clause #7949 (by clausification #[7925]): False
% 17.70/17.87 SZS output end Proof for theBenchmark.p
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