TSTP Solution File: NUM789^1 by Duper---1.0
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% File : Duper---1.0
% Problem : NUM789^1 : TPTP v8.1.2. Released v3.7.0.
% 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 : Thu Aug 31 10:57:44 EDT 2023
% Result : Theorem 3.56s 3.75s
% Output : Proof 3.56s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM789^1 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.13 % 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 : Fri Aug 25 09:43:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.56/3.75 SZS status Theorem for theBenchmark.p
% 3.56/3.75 SZS output start Proof for theBenchmark.p
% 3.56/3.75 Clause #0 (by assumption #[]): Eq (less x0 y0) True
% 3.56/3.75 Clause #2 (by assumption #[]): Eq
% 3.56/3.75 (∀ (Xx0 Xy0 : rat),
% 3.56/3.75 Not
% 3.56/3.75 ((is Xx0 Xy0 → Not (more Xx0 Xy0)) →
% 3.56/3.75 Not (Not ((more Xx0 Xy0 → Not (less Xx0 Xy0)) → Not (less Xx0 Xy0 → Not (is Xx0 Xy0))))))
% 3.56/3.75 True
% 3.56/3.75 Clause #3 (by assumption #[]): Eq (Not (Not (Not (more x0 y0) → is x0 y0))) True
% 3.56/3.75 Clause #8 (by clausification #[3]): Eq (Not (Not (more x0 y0) → is x0 y0)) False
% 3.56/3.75 Clause #9 (by clausification #[8]): Eq (Not (more x0 y0) → is x0 y0) True
% 3.56/3.75 Clause #10 (by clausification #[9]): Or (Eq (Not (more x0 y0)) False) (Eq (is x0 y0) True)
% 3.56/3.75 Clause #11 (by clausification #[10]): Or (Eq (is x0 y0) True) (Eq (more x0 y0) True)
% 3.56/3.75 Clause #12 (by clausification #[2]): ∀ (a : rat),
% 3.56/3.75 Eq
% 3.56/3.75 (∀ (Xy0 : rat),
% 3.56/3.75 Not
% 3.56/3.75 ((is a Xy0 → Not (more a Xy0)) →
% 3.56/3.75 Not (Not ((more a Xy0 → Not (less a Xy0)) → Not (less a Xy0 → Not (is a Xy0))))))
% 3.56/3.75 True
% 3.56/3.75 Clause #13 (by clausification #[12]): ∀ (a a_1 : rat),
% 3.56/3.75 Eq
% 3.56/3.75 (Not
% 3.56/3.75 ((is a a_1 → Not (more a a_1)) → Not (Not ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Not (is a a_1))))))
% 3.56/3.75 True
% 3.56/3.75 Clause #14 (by clausification #[13]): ∀ (a a_1 : rat),
% 3.56/3.75 Eq ((is a a_1 → Not (more a a_1)) → Not (Not ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Not (is a a_1)))))
% 3.56/3.75 False
% 3.56/3.75 Clause #16 (by clausification #[14]): ∀ (a a_1 : rat), Eq (Not (Not ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Not (is a a_1))))) False
% 3.56/3.75 Clause #19 (by clausification #[16]): ∀ (a a_1 : rat), Eq (Not ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Not (is a a_1)))) True
% 3.56/3.75 Clause #20 (by clausification #[19]): ∀ (a a_1 : rat), Eq ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Not (is a a_1))) False
% 3.56/3.75 Clause #21 (by clausification #[20]): ∀ (a a_1 : rat), Eq (more a a_1 → Not (less a a_1)) True
% 3.56/3.75 Clause #22 (by clausification #[20]): ∀ (a a_1 : rat), Eq (Not (less a a_1 → Not (is a a_1))) False
% 3.56/3.75 Clause #23 (by clausification #[21]): ∀ (a a_1 : rat), Or (Eq (more a a_1) False) (Eq (Not (less a a_1)) True)
% 3.56/3.75 Clause #24 (by clausification #[23]): ∀ (a a_1 : rat), Or (Eq (more a a_1) False) (Eq (less a a_1) False)
% 3.56/3.75 Clause #26 (by clausification #[22]): ∀ (a a_1 : rat), Eq (less a a_1 → Not (is a a_1)) True
% 3.56/3.75 Clause #27 (by clausification #[26]): ∀ (a a_1 : rat), Or (Eq (less a a_1) False) (Eq (Not (is a a_1)) True)
% 3.56/3.75 Clause #28 (by clausification #[27]): ∀ (a a_1 : rat), Or (Eq (less a a_1) False) (Eq (is a a_1) False)
% 3.56/3.75 Clause #29 (by superposition #[28, 0]): Or (Eq (is x0 y0) False) (Eq False True)
% 3.56/3.75 Clause #30 (by clausification #[29]): Eq (is x0 y0) False
% 3.56/3.75 Clause #31 (by backward demodulation #[30, 11]): Or (Eq False True) (Eq (more x0 y0) True)
% 3.56/3.75 Clause #32 (by clausification #[31]): Eq (more x0 y0) True
% 3.56/3.75 Clause #33 (by superposition #[32, 24]): Or (Eq True False) (Eq (less x0 y0) False)
% 3.56/3.75 Clause #34 (by clausification #[33]): Eq (less x0 y0) False
% 3.56/3.75 Clause #35 (by superposition #[34, 0]): Eq False True
% 3.56/3.75 Clause #36 (by clausification #[35]): False
% 3.56/3.75 SZS output end Proof for theBenchmark.p
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