TSTP Solution File: KLE119+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : KLE119+1 : TPTP v8.1.2. Released v4.0.0.
% 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 05:28:38 EDT 2023
% Result : Theorem 6.55s 6.82s
% Output : Proof 6.65s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KLE119+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n005.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 11:54:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 6.55/6.82 SZS status Theorem for theBenchmark.p
% 6.55/6.82 SZS output start Proof for theBenchmark.p
% 6.55/6.82 Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), Eq (addition A B) (addition B A)) True
% 6.55/6.82 Clause #2 (by assumption #[]): Eq (∀ (A : Iota), Eq (addition A zero) A) True
% 6.55/6.82 Clause #6 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication one A) A) True
% 6.55/6.82 Clause #9 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication A zero) zero) True
% 6.55/6.82 Clause #16 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (multiplication X0 (coantidomain X0)) zero) True
% 6.55/6.82 Clause #18 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (addition (coantidomain (coantidomain X0)) (coantidomain X0)) one) True
% 6.55/6.82 Clause #19 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (codomain X0) (coantidomain (coantidomain X0))) True
% 6.55/6.82 Clause #23 (by assumption #[]): Eq (∀ (X0 X1 : Iota), Eq (backward_diamond X0 X1) (codomain (multiplication (codomain X1) X0))) True
% 6.55/6.82 Clause #26 (by assumption #[]): Eq (Not (∀ (X0 X1 : Iota), Eq (addition (backward_diamond zero (domain X0)) (domain X1)) (domain X1))) True
% 6.55/6.82 Clause #29 (by clausification #[9]): ∀ (a : Iota), Eq (Eq (multiplication a zero) zero) True
% 6.55/6.82 Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (multiplication a zero) zero
% 6.55/6.82 Clause #31 (by clausification #[6]): ∀ (a : Iota), Eq (Eq (multiplication one a) a) True
% 6.55/6.82 Clause #32 (by clausification #[31]): ∀ (a : Iota), Eq (multiplication one a) a
% 6.55/6.82 Clause #35 (by clausification #[2]): ∀ (a : Iota), Eq (Eq (addition a zero) a) True
% 6.55/6.82 Clause #36 (by clausification #[35]): ∀ (a : Iota), Eq (addition a zero) a
% 6.55/6.82 Clause #37 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (addition a B) (addition B a)) True
% 6.55/6.82 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), Eq (Eq (addition a a_1) (addition a_1 a)) True
% 6.55/6.82 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), Eq (addition a a_1) (addition a_1 a)
% 6.55/6.82 Clause #40 (by superposition #[39, 36]): ∀ (a : Iota), Eq (addition zero a) a
% 6.55/6.82 Clause #271 (by clausification #[16]): ∀ (a : Iota), Eq (Eq (multiplication a (coantidomain a)) zero) True
% 6.55/6.82 Clause #272 (by clausification #[271]): ∀ (a : Iota), Eq (multiplication a (coantidomain a)) zero
% 6.55/6.82 Clause #273 (by superposition #[272, 32]): Eq zero (coantidomain one)
% 6.55/6.82 Clause #313 (by clausification #[18]): ∀ (a : Iota), Eq (Eq (addition (coantidomain (coantidomain a)) (coantidomain a)) one) True
% 6.55/6.82 Clause #314 (by clausification #[313]): ∀ (a : Iota), Eq (addition (coantidomain (coantidomain a)) (coantidomain a)) one
% 6.55/6.82 Clause #322 (by superposition #[314, 273]): Eq (addition (coantidomain zero) zero) one
% 6.55/6.82 Clause #323 (by superposition #[322, 36]): Eq one (coantidomain zero)
% 6.55/6.82 Clause #339 (by clausification #[19]): ∀ (a : Iota), Eq (Eq (codomain a) (coantidomain (coantidomain a))) True
% 6.55/6.82 Clause #340 (by clausification #[339]): ∀ (a : Iota), Eq (codomain a) (coantidomain (coantidomain a))
% 6.55/6.82 Clause #348 (by superposition #[340, 323]): Eq (codomain zero) (coantidomain one)
% 6.55/6.82 Clause #349 (by forward demodulation #[348, 273]): Eq (codomain zero) zero
% 6.55/6.82 Clause #396 (by clausification #[23]): ∀ (a : Iota), Eq (∀ (X1 : Iota), Eq (backward_diamond a X1) (codomain (multiplication (codomain X1) a))) True
% 6.55/6.82 Clause #397 (by clausification #[396]): ∀ (a a_1 : Iota), Eq (Eq (backward_diamond a a_1) (codomain (multiplication (codomain a_1) a))) True
% 6.55/6.82 Clause #398 (by clausification #[397]): ∀ (a a_1 : Iota), Eq (backward_diamond a a_1) (codomain (multiplication (codomain a_1) a))
% 6.55/6.82 Clause #402 (by superposition #[398, 30]): ∀ (a : Iota), Eq (backward_diamond zero a) (codomain zero)
% 6.55/6.82 Clause #407 (by forward demodulation #[402, 349]): ∀ (a : Iota), Eq (backward_diamond zero a) zero
% 6.55/6.82 Clause #460 (by clausification #[26]): Eq (∀ (X0 X1 : Iota), Eq (addition (backward_diamond zero (domain X0)) (domain X1)) (domain X1)) False
% 6.55/6.82 Clause #461 (by clausification #[460]): ∀ (a : Iota),
% 6.55/6.82 Eq (Not (∀ (X1 : Iota), Eq (addition (backward_diamond zero (domain (skS.0 0 a))) (domain X1)) (domain X1))) True
% 6.55/6.82 Clause #462 (by clausification #[461]): ∀ (a : Iota),
% 6.55/6.82 Eq (∀ (X1 : Iota), Eq (addition (backward_diamond zero (domain (skS.0 0 a))) (domain X1)) (domain X1)) False
% 6.65/6.83 Clause #463 (by clausification #[462]): ∀ (a a_1 : Iota),
% 6.65/6.83 Eq
% 6.65/6.83 (Not (Eq (addition (backward_diamond zero (domain (skS.0 0 a))) (domain (skS.0 1 a a_1))) (domain (skS.0 1 a a_1))))
% 6.65/6.83 True
% 6.65/6.83 Clause #464 (by clausification #[463]): ∀ (a a_1 : Iota),
% 6.65/6.83 Eq (Eq (addition (backward_diamond zero (domain (skS.0 0 a))) (domain (skS.0 1 a a_1))) (domain (skS.0 1 a a_1)))
% 6.65/6.83 False
% 6.65/6.83 Clause #465 (by clausification #[464]): ∀ (a a_1 : Iota),
% 6.65/6.83 Ne (addition (backward_diamond zero (domain (skS.0 0 a))) (domain (skS.0 1 a a_1))) (domain (skS.0 1 a a_1))
% 6.65/6.83 Clause #466 (by forward demodulation #[465, 407]): ∀ (a a_1 : Iota), Ne (addition zero (domain (skS.0 1 a a_1))) (domain (skS.0 1 a a_1))
% 6.65/6.83 Clause #467 (by forward demodulation #[466, 40]): ∀ (a a_1 : Iota), Ne (domain (skS.0 1 a a_1)) (domain (skS.0 1 a a_1))
% 6.65/6.83 Clause #468 (by eliminate resolved literals #[467]): False
% 6.65/6.83 SZS output end Proof for theBenchmark.p
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