TSTP Solution File: LCL812_5 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : LCL812_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n005.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 07:11:22 EDT 2023
% Result : Theorem 53.30s 53.48s
% Output : Proof 53.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL812_5 : TPTP v8.1.2. Released v6.0.0.
% 0.11/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n005.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 : Fri Aug 25 03:00:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 53.30/53.48 SZS status Theorem for theBenchmark.p
% 53.30/53.48 SZS output start Proof for theBenchmark.p
% 53.30/53.48 Clause #4 (by assumption #[]): Eq
% 53.30/53.48 (listsp dB it
% 53.30/53.48 (map dB dB (combc dB nat dB lift (zero_zero nat))
% 53.30/53.48 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) as)))
% 53.30/53.48 True
% 53.30/53.48 Clause #18 (by assumption #[]): Eq (∀ (Na : nat) (Rsa : list dB), listsp dB it Rsa → pp (aa dB bool it (foldl dB dB app (var Na) Rsa))) True
% 53.30/53.48 Clause #109 (by assumption #[]): Eq
% 53.30/53.48 (Not
% 53.30/53.48 (pp
% 53.30/53.48 (aa dB bool it
% 53.30/53.48 (foldl dB dB app (var (zero_zero nat))
% 53.30/53.48 (map dB dB (combc dB nat dB lift (zero_zero nat))
% 53.30/53.48 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) as))))))
% 53.30/53.48 True
% 53.30/53.48 Clause #455 (by clausification #[18]): ∀ (a : nat), Eq (∀ (Rsa : list dB), listsp dB it Rsa → pp (aa dB bool it (foldl dB dB app (var a) Rsa))) True
% 53.30/53.48 Clause #456 (by clausification #[455]): ∀ (a : list dB) (a_1 : nat), Eq (listsp dB it a → pp (aa dB bool it (foldl dB dB app (var a_1) a))) True
% 53.30/53.48 Clause #457 (by clausification #[456]): ∀ (a : list dB) (a_1 : nat), Or (Eq (listsp dB it a) False) (Eq (pp (aa dB bool it (foldl dB dB app (var a_1) a))) True)
% 53.30/53.48 Clause #458 (by superposition #[457, 4]): ∀ (a : nat),
% 53.30/53.48 Or
% 53.30/53.48 (Eq
% 53.30/53.48 (pp
% 53.30/53.48 (aa dB bool it
% 53.30/53.48 (foldl dB dB app (var a)
% 53.30/53.48 (map dB dB (combc dB nat dB lift (zero_zero nat))
% 53.30/53.48 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) as)))))
% 53.30/53.48 True)
% 53.30/53.48 (Eq False True)
% 53.30/53.48 Clause #2330 (by clausification #[109]): Eq
% 53.30/53.48 (pp
% 53.30/53.48 (aa dB bool it
% 53.30/53.48 (foldl dB dB app (var (zero_zero nat))
% 53.30/53.48 (map dB dB (combc dB nat dB lift (zero_zero nat))
% 53.30/53.48 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) as)))))
% 53.30/53.48 False
% 53.30/53.48 Clause #4398 (by clausification #[458]): ∀ (a : nat),
% 53.30/53.48 Eq
% 53.30/53.48 (pp
% 53.30/53.48 (aa dB bool it
% 53.30/53.48 (foldl dB dB app (var a)
% 53.30/53.48 (map dB dB (combc dB nat dB lift (zero_zero nat))
% 53.30/53.48 (map dB dB (combc dB nat dB (combc dB dB (fun nat dB) subst u) i) as)))))
% 53.30/53.48 True
% 53.30/53.48 Clause #4405 (by superposition #[4398, 2330]): Eq True False
% 53.30/53.48 Clause #4411 (by clausification #[4405]): False
% 53.30/53.48 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------