TSTP Solution File: SCT199_5 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SCT199_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n015.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 14:13:55 EDT 2023
% Result : Theorem 5.62s 5.81s
% Output : Proof 5.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SCT199_5 : TPTP v8.1.2. Released v6.0.0.
% 0.00/0.12 % Command : duper %s
% 0.10/0.32 % Computer : n015.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu Aug 24 16:52:06 EDT 2023
% 0.10/0.32 % CPUTime :
% 5.62/5.81 SZS status Theorem for theBenchmark.p
% 5.62/5.81 SZS output start Proof for theBenchmark.p
% 5.62/5.81 Clause #0 (by assumption #[]): Eq
% 5.62/5.81 (Exists fun L1 =>
% 5.62/5.81 pp
% 5.62/5.81 (aa (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool
% 5.62/5.81 (aa (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)
% 5.62/5.81 (fun (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool)
% 5.62/5.81 (member (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)) L1)
% 5.62/5.81 arrow_1985332922le_Lin))
% 5.62/5.81 True
% 5.62/5.81 Clause #109 (by assumption #[]): Eq
% 5.62/5.81 (∀ (R : fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool),
% 5.62/5.81 pp
% 5.62/5.81 (aa (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool
% 5.62/5.81 (aa (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)
% 5.62/5.81 (fun (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool)
% 5.62/5.81 (member (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)) R)
% 5.62/5.81 arrow_1985332922le_Lin) →
% 5.62/5.81 thesis)
% 5.62/5.81 True
% 5.62/5.81 Clause #110 (by assumption #[]): Eq (Not thesis) True
% 5.62/5.81 Clause #111 (by clausification #[110]): Eq thesis False
% 5.62/5.81 Clause #113 (by clausification #[0]): ∀ (a : fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool),
% 5.62/5.81 Eq
% 5.62/5.81 (pp
% 5.62/5.81 (aa (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool
% 5.62/5.81 (aa (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)
% 5.62/5.81 (fun (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool)
% 5.62/5.81 (member (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)) (skS.0 0 a))
% 5.62/5.81 arrow_1985332922le_Lin))
% 5.62/5.81 True
% 5.62/5.81 Clause #114 (by clausification #[109]): ∀ (a : fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool),
% 5.62/5.81 Eq
% 5.62/5.81 (pp
% 5.62/5.81 (aa (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool
% 5.62/5.81 (aa (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)
% 5.62/5.81 (fun (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool)
% 5.62/5.81 (member (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)) a)
% 5.62/5.81 arrow_1985332922le_Lin) →
% 5.62/5.81 thesis)
% 5.62/5.81 True
% 5.62/5.81 Clause #115 (by clausification #[114]): ∀ (a : fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool),
% 5.62/5.81 Or
% 5.62/5.81 (Eq
% 5.62/5.81 (pp
% 5.62/5.81 (aa (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool
% 5.62/5.81 (aa (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)
% 5.62/5.81 (fun (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool)
% 5.62/5.81 (member (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)) a)
% 5.62/5.81 arrow_1985332922le_Lin))
% 5.62/5.81 False)
% 5.62/5.81 (Eq thesis True)
% 5.62/5.81 Clause #116 (by forward demodulation #[115, 111]): ∀ (a : fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool),
% 5.62/5.81 Or
% 5.62/5.81 (Eq
% 5.62/5.81 (pp
% 5.62/5.81 (aa (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool
% 5.62/5.81 (aa (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)
% 5.62/5.81 (fun (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool)
% 5.62/5.81 (member (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)) a)
% 5.62/5.81 arrow_1985332922le_Lin))
% 5.62/5.81 False)
% 5.62/5.81 (Eq False True)
% 5.62/5.81 Clause #117 (by clausification #[116]): ∀ (a : fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool),
% 5.62/5.81 Eq
% 5.62/5.81 (pp
% 5.62/5.81 (aa (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool
% 5.62/5.81 (aa (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)
% 5.62/5.81 (fun (fun (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool) bool) bool)
% 5.62/5.81 (member (fun (product_prod arrow_411405190le_alt arrow_411405190le_alt) bool)) a)
% 5.62/5.81 arrow_1985332922le_Lin))
% 5.62/5.81 False
% 5.62/5.81 Clause #118 (by superposition #[117, 113]): Eq False True
% 5.62/5.82 Clause #119 (by clausification #[118]): False
% 5.62/5.82 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------