TSTP Solution File: SYN378+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYN378+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Fri Sep 1 02:11:31 EDT 2023
% Result : Theorem 3.74s 3.95s
% Output : Proof 3.74s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN378+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14 % Command : duper %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 18:27:23 EDT 2023
% 0.21/0.36 % CPUTime :
% 3.74/3.95 SZS status Theorem for theBenchmark.p
% 3.74/3.95 SZS output start Proof for theBenchmark.p
% 3.74/3.95 Clause #0 (by assumption #[]): Eq (Not ((∀ (X : Iota), big_p X) → Or (Not (Exists fun Y => big_q Y)) (Exists fun Z => big_p Z → big_q Z))) True
% 3.74/3.95 Clause #1 (by betaEtaReduce #[0]): Eq (Not ((∀ (X : Iota), big_p X) → Or (Not (Exists big_q)) (Exists fun Z => big_p Z → big_q Z))) True
% 3.74/3.95 Clause #2 (by clausification #[1]): Eq ((∀ (X : Iota), big_p X) → Or (Not (Exists big_q)) (Exists fun Z => big_p Z → big_q Z)) False
% 3.74/3.95 Clause #4 (by clausification #[2]): Eq (Or (Not (Exists big_q)) (Exists fun Z => big_p Z → big_q Z)) False
% 3.74/3.95 Clause #6 (by clausification #[4]): Eq (Exists fun Z => big_p Z → big_q Z) False
% 3.74/3.95 Clause #7 (by clausification #[4]): Eq (Not (Exists big_q)) False
% 3.74/3.95 Clause #8 (by clausification #[6]): ∀ (a : Iota), Eq (big_p a → big_q a) False
% 3.74/3.95 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (big_q a) False
% 3.74/3.95 Clause #10 (by clausification #[7]): Eq (Exists big_q) True
% 3.74/3.95 Clause #11 (by clausification #[10]): ∀ (a : Iota), Eq (big_q (skS.0 0 a)) True
% 3.74/3.95 Clause #12 (by superposition #[11, 9]): Eq True False
% 3.74/3.95 Clause #13 (by clausification #[12]): False
% 3.74/3.95 SZS output end Proof for theBenchmark.p
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