TSTP Solution File: SWV397+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWV397+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n020.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 21:59:02 EDT 2023
% Result : Theorem 127.51s 127.84s
% Output : Proof 127.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV397+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 08:25:43 EDT 2023
% 0.15/0.35 % CPUTime :
% 127.51/127.84 SZS status Theorem for theBenchmark.p
% 127.51/127.84 SZS output start Proof for theBenchmark.p
% 127.51/127.84 Clause #27 (by assumption #[]): Eq (∀ (U V : Iota), Iff (ok (triple U V bad)) False) True
% 127.51/127.84 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
% 127.51/127.84 Clause #41 (by assumption #[]): Eq (Not (∀ (U V W X : Iota), ok (remove_cpq (triple U V W) X) → contains_slb V X)) True
% 127.51/127.84 Clause #152 (by clausification #[27]): ∀ (a : Iota), Eq (∀ (V : Iota), Iff (ok (triple a V bad)) False) True
% 127.51/127.84 Clause #153 (by clausification #[152]): ∀ (a a_1 : Iota), Eq (Iff (ok (triple a a_1 bad)) False) True
% 127.51/127.84 Clause #155 (by clausification #[153]): ∀ (a a_1 : Iota), Or (Eq (ok (triple a a_1 bad)) False) (Eq False True)
% 127.51/127.84 Clause #156 (by clausification #[155]): ∀ (a a_1 : Iota), Eq (ok (triple a a_1 bad)) False
% 127.51/127.84 Clause #351 (by clausification #[41]): Eq (∀ (U V W X : Iota), ok (remove_cpq (triple U V W) X) → contains_slb V X) False
% 127.51/127.84 Clause #352 (by clausification #[351]): ∀ (a : Iota), Eq (Not (∀ (V W X : Iota), ok (remove_cpq (triple (skS.0 0 a) V W) X) → contains_slb V X)) True
% 127.51/127.84 Clause #353 (by clausification #[352]): ∀ (a : Iota), Eq (∀ (V W X : Iota), ok (remove_cpq (triple (skS.0 0 a) V W) X) → contains_slb V X) False
% 127.51/127.84 Clause #354 (by clausification #[353]): ∀ (a a_1 : Iota),
% 127.51/127.84 Eq (Not (∀ (W X : Iota), ok (remove_cpq (triple (skS.0 0 a) (skS.0 1 a a_1) W) X) → contains_slb (skS.0 1 a a_1) X))
% 127.51/127.84 True
% 127.51/127.84 Clause #355 (by clausification #[354]): ∀ (a a_1 : Iota),
% 127.51/127.84 Eq (∀ (W X : Iota), ok (remove_cpq (triple (skS.0 0 a) (skS.0 1 a a_1) W) X) → contains_slb (skS.0 1 a a_1) X) False
% 127.51/127.84 Clause #356 (by clausification #[355]): ∀ (a a_1 a_2 : Iota),
% 127.51/127.84 Eq
% 127.51/127.84 (Not
% 127.51/127.84 (∀ (X : Iota),
% 127.51/127.84 ok (remove_cpq (triple (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) X) → contains_slb (skS.0 1 a a_1) X))
% 127.51/127.84 True
% 127.51/127.84 Clause #357 (by clausification #[356]): ∀ (a a_1 a_2 : Iota),
% 127.51/127.84 Eq
% 127.51/127.84 (∀ (X : Iota),
% 127.51/127.84 ok (remove_cpq (triple (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) X) → contains_slb (skS.0 1 a a_1) X)
% 127.51/127.84 False
% 127.51/127.84 Clause #358 (by clausification #[357]): ∀ (a a_1 a_2 a_3 : Iota),
% 127.51/127.84 Eq
% 127.51/127.84 (Not
% 127.51/127.84 (ok (remove_cpq (triple (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) (skS.0 3 a a_1 a_2 a_3)) →
% 127.51/127.84 contains_slb (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)))
% 127.51/127.84 True
% 127.51/127.84 Clause #359 (by clausification #[358]): ∀ (a a_1 a_2 a_3 : Iota),
% 127.51/127.84 Eq
% 127.51/127.84 (ok (remove_cpq (triple (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) (skS.0 3 a a_1 a_2 a_3)) →
% 127.51/127.84 contains_slb (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))
% 127.51/127.84 False
% 127.51/127.84 Clause #360 (by clausification #[359]): ∀ (a a_1 a_2 a_3 : Iota),
% 127.51/127.84 Eq (ok (remove_cpq (triple (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) (skS.0 3 a a_1 a_2 a_3))) True
% 127.51/127.84 Clause #361 (by clausification #[359]): ∀ (a a_1 a_2 a_3 : Iota), Eq (contains_slb (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) False
% 127.51/127.84 Clause #565 (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
% 127.51/127.84 Clause #566 (by clausification #[565]): ∀ (a a_1 : Iota),
% 127.51/127.84 Eq (∀ (W X : Iota), Not (contains_slb a X) → Eq (remove_cpq (triple a_1 a W) X) (triple a_1 a bad)) True
% 127.51/127.84 Clause #567 (by clausification #[566]): ∀ (a a_1 a_2 : Iota),
% 127.51/127.84 Eq (∀ (X : Iota), Not (contains_slb a X) → Eq (remove_cpq (triple a_1 a a_2) X) (triple a_1 a bad)) True
% 127.51/127.84 Clause #568 (by clausification #[567]): ∀ (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
% 127.51/127.84 Clause #569 (by clausification #[568]): ∀ (a a_1 a_2 a_3 : Iota),
% 127.51/127.84 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)
% 127.51/127.84 Clause #570 (by clausification #[569]): ∀ (a a_1 a_2 a_3 : Iota),
% 127.51/127.84 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)
% 127.51/127.84 Clause #571 (by clausification #[570]): ∀ (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))
% 127.60/128.07 Clause #576 (by superposition #[571, 360]): ∀ (a a_1 a_2 a_3 : Iota),
% 127.60/128.07 Or (Eq (contains_slb (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) True)
% 127.60/128.07 (Eq (ok (triple (skS.0 0 a) (skS.0 1 a a_1) bad)) True)
% 127.60/128.07 Clause #40007 (by forward demodulation #[576, 156]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (contains_slb (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) True) (Eq False True)
% 127.60/128.07 Clause #40008 (by clausification #[40007]): ∀ (a a_1 a_2 a_3 : Iota), Eq (contains_slb (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) True
% 127.60/128.07 Clause #40009 (by superposition #[40008, 361]): Eq True False
% 127.60/128.07 Clause #40046 (by clausification #[40009]): False
% 127.60/128.07 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------