TSTP Solution File: SYO380^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO380^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n003.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 04:22:19 EDT 2023
% Result : Theorem 3.47s 3.66s
% Output : Proof 3.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO380^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 07:17:53 EDT 2023
% 0.14/0.34 % CPUTime :
% 3.47/3.66 SZS status Theorem for theBenchmark.p
% 3.47/3.66 SZS output start Proof for theBenchmark.p
% 3.47/3.66 Clause #0 (by assumption #[]): Eq (Not (Exists fun Xy => cR x Xy → Exists fun Xx0 => cR Xy Xx0)) True
% 3.47/3.66 Clause #1 (by betaEtaReduce #[0]): Eq (Not (Exists fun Xy => cR x Xy → Exists (cR Xy))) True
% 3.47/3.66 Clause #2 (by clausification #[1]): Eq (Exists fun Xy => cR x Xy → Exists (cR Xy)) False
% 3.47/3.66 Clause #3 (by clausification #[2]): ∀ (a : Iota), Eq (cR x a → Exists (cR a)) False
% 3.47/3.66 Clause #4 (by clausification #[3]): ∀ (a : Iota), Eq (cR x a) True
% 3.47/3.66 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (Exists (cR a)) False
% 3.47/3.66 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Eq (cR a a_1) False
% 3.47/3.66 Clause #7 (by superposition #[6, 4]): Eq False True
% 3.47/3.66 Clause #8 (by clausification #[7]): False
% 3.47/3.66 SZS output end Proof for theBenchmark.p
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