TSTP Solution File: COM194^1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : COM194^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n029.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 : Wed Aug 30 18:38:34 EDT 2023
% Result : Theorem 14.40s 14.58s
% Output : Proof 14.40s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM194^1 : TPTP v8.1.2. Released v7.0.0.
% 0.03/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 13:24:12 EDT 2023
% 0.14/0.35 % CPUTime :
% 14.40/14.58 SZS status Theorem for theBenchmark.p
% 14.40/14.58 SZS output start Proof for theBenchmark.p
% 14.40/14.58 Clause #0 (by assumption #[]): Eq (gram_L864798063lle_wf tr2) True
% 14.40/14.58 Clause #1 (by assumption #[]): Eq (Eq tr (gram_L1004374585hsubst tr2 tr2)) True
% 14.40/14.58 Clause #2 (by assumption #[]): Eq
% 14.40/14.58 (∀ (Tr0 Tr : dtree),
% 14.40/14.58 gram_L864798063lle_wf Tr0 → gram_L864798063lle_wf Tr → gram_L864798063lle_wf (gram_L1004374585hsubst Tr0 Tr))
% 14.40/14.58 True
% 14.40/14.58 Clause #257 (by assumption #[]): Eq (Not (gram_L864798063lle_wf (gram_L1004374585hsubst tr2 tr2))) True
% 14.40/14.58 Clause #260 (by clausification #[1]): Eq tr (gram_L1004374585hsubst tr2 tr2)
% 14.40/14.58 Clause #266 (by clausification #[2]): ∀ (a : dtree),
% 14.40/14.58 Eq
% 14.40/14.58 (∀ (Tr : dtree),
% 14.40/14.58 gram_L864798063lle_wf a → gram_L864798063lle_wf Tr → gram_L864798063lle_wf (gram_L1004374585hsubst a Tr))
% 14.40/14.58 True
% 14.40/14.58 Clause #267 (by clausification #[266]): ∀ (a a_1 : dtree),
% 14.40/14.58 Eq (gram_L864798063lle_wf a → gram_L864798063lle_wf a_1 → gram_L864798063lle_wf (gram_L1004374585hsubst a a_1)) True
% 14.40/14.58 Clause #268 (by clausification #[267]): ∀ (a a_1 : dtree),
% 14.40/14.58 Or (Eq (gram_L864798063lle_wf a) False)
% 14.40/14.58 (Eq (gram_L864798063lle_wf a_1 → gram_L864798063lle_wf (gram_L1004374585hsubst a a_1)) True)
% 14.40/14.58 Clause #269 (by clausification #[268]): ∀ (a a_1 : dtree),
% 14.40/14.58 Or (Eq (gram_L864798063lle_wf a) False)
% 14.40/14.58 (Or (Eq (gram_L864798063lle_wf a_1) False) (Eq (gram_L864798063lle_wf (gram_L1004374585hsubst a a_1)) True))
% 14.40/14.58 Clause #270 (by superposition #[269, 0]): ∀ (a : dtree),
% 14.40/14.58 Or (Eq (gram_L864798063lle_wf a) False)
% 14.40/14.58 (Or (Eq (gram_L864798063lle_wf (gram_L1004374585hsubst tr2 a)) True) (Eq False True))
% 14.40/14.58 Clause #275 (by clausification #[257]): Eq (gram_L864798063lle_wf (gram_L1004374585hsubst tr2 tr2)) False
% 14.40/14.58 Clause #276 (by forward demodulation #[275, 260]): Eq (gram_L864798063lle_wf tr) False
% 14.40/14.58 Clause #6031 (by clausification #[270]): ∀ (a : dtree), Or (Eq (gram_L864798063lle_wf a) False) (Eq (gram_L864798063lle_wf (gram_L1004374585hsubst tr2 a)) True)
% 14.40/14.58 Clause #6032 (by superposition #[6031, 0]): Or (Eq (gram_L864798063lle_wf (gram_L1004374585hsubst tr2 tr2)) True) (Eq False True)
% 14.40/14.58 Clause #6053 (by clausification #[6032]): Eq (gram_L864798063lle_wf (gram_L1004374585hsubst tr2 tr2)) True
% 14.40/14.58 Clause #6054 (by forward demodulation #[6053, 260]): Eq (gram_L864798063lle_wf tr) True
% 14.40/14.58 Clause #6055 (by superposition #[6054, 276]): Eq True False
% 14.40/14.58 Clause #6103 (by clausification #[6055]): False
% 14.40/14.58 SZS output end Proof for theBenchmark.p
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