TSTP Solution File: ITP018^3 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : ITP018^3 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n032.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 03:38:07 EDT 2023
% Result : Theorem 3.90s 4.20s
% Output : Proof 3.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ITP018^3 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.10 % Command : duper %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sun Aug 27 15:46:15 EDT 2023
% 0.11/0.30 % CPUTime :
% 3.90/4.20 SZS status Theorem for theBenchmark.p
% 3.90/4.20 SZS output start Proof for theBenchmark.p
% 3.90/4.20 Clause #7 (by assumption #[]): Eq
% 3.90/4.20 (∀ (A_27a A_27b : Type) (V0x : tyop_2Ebinary__ieee_2Efloat A_27a A_27b),
% 3.90/4.20 Eq (c_2Ebinary__ieee_2Efloat__to__real A_27a A_27b (c_2Ebinary__ieee_2Efloat__negate A_27a A_27b V0x))
% 3.90/4.20 (c_2Erealax_2Ereal__neg (c_2Ebinary__ieee_2Efloat__to__real A_27a A_27b V0x)))
% 3.90/4.20 True
% 3.90/4.20 Clause #8 (by assumption #[]): Eq
% 3.90/4.20 (∀ (A_27t A_27w : Type),
% 3.90/4.20 Eq (c_2Ebinary__ieee_2Eulp A_27t A_27w (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod A_27t A_27w)))
% 3.90/4.20 (c_2Ebinary__ieee_2Efloat__to__real A_27t A_27w
% 3.90/4.20 (c_2Ebinary__ieee_2Efloat__plus__min A_27t A_27w (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod A_27t A_27w)))))
% 3.90/4.20 True
% 3.90/4.20 Clause #11 (by assumption #[]): Eq
% 3.90/4.20 (Not
% 3.90/4.20 (∀ (A_27t A_27w : Type),
% 3.90/4.20 Eq
% 3.90/4.20 (c_2Erealax_2Ereal__neg
% 3.90/4.20 (c_2Ebinary__ieee_2Eulp A_27t A_27w (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod A_27t A_27w))))
% 3.90/4.20 (c_2Ebinary__ieee_2Efloat__to__real A_27t A_27w
% 3.90/4.20 (c_2Ebinary__ieee_2Efloat__negate A_27t A_27w
% 3.90/4.20 (c_2Ebinary__ieee_2Efloat__plus__min A_27t A_27w
% 3.90/4.20 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod A_27t A_27w)))))))
% 3.90/4.20 True
% 3.90/4.20 Clause #199 (by clausification #[7]): ∀ (a : Type),
% 3.90/4.20 Eq
% 3.90/4.20 (∀ (A_27b : Type) (V0x : tyop_2Ebinary__ieee_2Efloat a A_27b),
% 3.90/4.20 Eq (c_2Ebinary__ieee_2Efloat__to__real a A_27b (c_2Ebinary__ieee_2Efloat__negate a A_27b V0x))
% 3.90/4.20 (c_2Erealax_2Ereal__neg (c_2Ebinary__ieee_2Efloat__to__real a A_27b V0x)))
% 3.90/4.20 True
% 3.90/4.20 Clause #200 (by clausification #[199]): ∀ (a a_1 : Type),
% 3.90/4.20 Eq
% 3.90/4.20 (∀ (V0x : tyop_2Ebinary__ieee_2Efloat a a_1),
% 3.90/4.20 Eq (c_2Ebinary__ieee_2Efloat__to__real a a_1 (c_2Ebinary__ieee_2Efloat__negate a a_1 V0x))
% 3.90/4.20 (c_2Erealax_2Ereal__neg (c_2Ebinary__ieee_2Efloat__to__real a a_1 V0x)))
% 3.90/4.20 True
% 3.90/4.20 Clause #201 (by clausification #[200]): ∀ (a a_1 : Type) (a_2 : tyop_2Ebinary__ieee_2Efloat a a_1),
% 3.90/4.20 Eq
% 3.90/4.20 (Eq (c_2Ebinary__ieee_2Efloat__to__real a a_1 (c_2Ebinary__ieee_2Efloat__negate a a_1 a_2))
% 3.90/4.20 (c_2Erealax_2Ereal__neg (c_2Ebinary__ieee_2Efloat__to__real a a_1 a_2)))
% 3.90/4.20 True
% 3.90/4.20 Clause #202 (by clausification #[201]): ∀ (a a_1 : Type) (a_2 : tyop_2Ebinary__ieee_2Efloat a a_1),
% 3.90/4.20 Eq (c_2Ebinary__ieee_2Efloat__to__real a a_1 (c_2Ebinary__ieee_2Efloat__negate a a_1 a_2))
% 3.90/4.20 (c_2Erealax_2Ereal__neg (c_2Ebinary__ieee_2Efloat__to__real a a_1 a_2))
% 3.90/4.20 Clause #286 (by clausification #[8]): ∀ (a : Type),
% 3.90/4.20 Eq
% 3.90/4.20 (∀ (A_27w : Type),
% 3.90/4.20 Eq (c_2Ebinary__ieee_2Eulp a A_27w (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod a A_27w)))
% 3.90/4.20 (c_2Ebinary__ieee_2Efloat__to__real a A_27w
% 3.90/4.20 (c_2Ebinary__ieee_2Efloat__plus__min a A_27w (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod a A_27w)))))
% 3.90/4.20 True
% 3.90/4.20 Clause #287 (by clausification #[286]): ∀ (a a_1 : Type),
% 3.90/4.20 Eq
% 3.90/4.20 (Eq (c_2Ebinary__ieee_2Eulp a a_1 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod a a_1)))
% 3.90/4.20 (c_2Ebinary__ieee_2Efloat__to__real a a_1
% 3.90/4.20 (c_2Ebinary__ieee_2Efloat__plus__min a a_1 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod a a_1)))))
% 3.90/4.20 True
% 3.90/4.20 Clause #288 (by clausification #[287]): ∀ (a a_1 : Type),
% 3.90/4.20 Eq (c_2Ebinary__ieee_2Eulp a a_1 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod a a_1)))
% 3.90/4.20 (c_2Ebinary__ieee_2Efloat__to__real a a_1
% 3.90/4.20 (c_2Ebinary__ieee_2Efloat__plus__min a a_1 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod a a_1))))
% 3.90/4.20 Clause #345 (by clausification #[11]): Eq
% 3.90/4.20 (∀ (A_27t A_27w : Type),
% 3.90/4.20 Eq
% 3.90/4.20 (c_2Erealax_2Ereal__neg
% 3.90/4.20 (c_2Ebinary__ieee_2Eulp A_27t A_27w (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod A_27t A_27w))))
% 3.90/4.20 (c_2Ebinary__ieee_2Efloat__to__real A_27t A_27w
% 3.90/4.20 (c_2Ebinary__ieee_2Efloat__negate A_27t A_27w
% 3.90/4.20 (c_2Ebinary__ieee_2Efloat__plus__min A_27t A_27w (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod A_27t A_27w))))))
% 3.90/4.20 False
% 3.90/4.20 Clause #346 (by clausification #[345]): ∀ (a : Type),
% 3.90/4.20 Eq
% 3.90/4.20 (Not
% 3.90/4.20 (∀ (A_27w : Type),
% 3.90/4.20 Eq
% 3.90/4.20 (c_2Erealax_2Ereal__neg
% 3.90/4.20 (c_2Ebinary__ieee_2Eulp (skS.0 2 a) A_27w (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod (skS.0 2 a) A_27w))))
% 3.90/4.20 (c_2Ebinary__ieee_2Efloat__to__real (skS.0 2 a) A_27w
% 3.90/4.22 (c_2Ebinary__ieee_2Efloat__negate (skS.0 2 a) A_27w
% 3.90/4.22 (c_2Ebinary__ieee_2Efloat__plus__min (skS.0 2 a) A_27w
% 3.90/4.22 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod (skS.0 2 a) A_27w)))))))
% 3.90/4.22 True
% 3.90/4.22 Clause #347 (by clausification #[346]): ∀ (a : Type),
% 3.90/4.22 Eq
% 3.90/4.22 (∀ (A_27w : Type),
% 3.90/4.22 Eq
% 3.90/4.22 (c_2Erealax_2Ereal__neg
% 3.90/4.22 (c_2Ebinary__ieee_2Eulp (skS.0 2 a) A_27w (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod (skS.0 2 a) A_27w))))
% 3.90/4.22 (c_2Ebinary__ieee_2Efloat__to__real (skS.0 2 a) A_27w
% 3.90/4.22 (c_2Ebinary__ieee_2Efloat__negate (skS.0 2 a) A_27w
% 3.90/4.22 (c_2Ebinary__ieee_2Efloat__plus__min (skS.0 2 a) A_27w
% 3.90/4.22 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod (skS.0 2 a) A_27w))))))
% 3.90/4.22 False
% 3.90/4.22 Clause #348 (by clausification #[347]): ∀ (a a_1 : Type),
% 3.90/4.22 Eq
% 3.90/4.22 (Not
% 3.90/4.22 (Eq
% 3.90/4.22 (c_2Erealax_2Ereal__neg
% 3.90/4.22 (c_2Ebinary__ieee_2Eulp (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1)))))
% 3.90/4.22 (c_2Ebinary__ieee_2Efloat__to__real (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebinary__ieee_2Efloat__negate (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebinary__ieee_2Efloat__plus__min (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1))))))))
% 3.90/4.22 True
% 3.90/4.22 Clause #349 (by clausification #[348]): ∀ (a a_1 : Type),
% 3.90/4.22 Eq
% 3.90/4.22 (Eq
% 3.90/4.22 (c_2Erealax_2Ereal__neg
% 3.90/4.22 (c_2Ebinary__ieee_2Eulp (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1)))))
% 3.90/4.22 (c_2Ebinary__ieee_2Efloat__to__real (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebinary__ieee_2Efloat__negate (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebinary__ieee_2Efloat__plus__min (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1)))))))
% 3.90/4.22 False
% 3.90/4.22 Clause #350 (by clausification #[349]): ∀ (a a_1 : Type),
% 3.90/4.22 Ne
% 3.90/4.22 (c_2Erealax_2Ereal__neg
% 3.90/4.22 (c_2Ebinary__ieee_2Eulp (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1)))))
% 3.90/4.22 (c_2Ebinary__ieee_2Efloat__to__real (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebinary__ieee_2Efloat__negate (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebinary__ieee_2Efloat__plus__min (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1))))))
% 3.90/4.22 Clause #351 (by forward demodulation #[350, 202]): ∀ (a a_1 : Type),
% 3.90/4.22 Ne
% 3.90/4.22 (c_2Erealax_2Ereal__neg
% 3.90/4.22 (c_2Ebinary__ieee_2Eulp (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1)))))
% 3.90/4.22 (c_2Erealax_2Ereal__neg
% 3.90/4.22 (c_2Ebinary__ieee_2Efloat__to__real (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebinary__ieee_2Efloat__plus__min (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1))))))
% 3.90/4.22 Clause #352 (by forward demodulation #[351, 288]): ∀ (a a_1 : Type),
% 3.90/4.22 Ne
% 3.90/4.22 (c_2Erealax_2Ereal__neg
% 3.90/4.22 (c_2Ebinary__ieee_2Eulp (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1)))))
% 3.90/4.22 (c_2Erealax_2Ereal__neg
% 3.90/4.22 (c_2Ebinary__ieee_2Eulp (skS.0 2 a) (skS.0 3 a a_1)
% 3.90/4.22 (c_2Ebool_2Ethe__value (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1)))))
% 3.90/4.22 Clause #353 (by eliminate resolved literals #[352]): False
% 3.90/4.22 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------