TSTP Solution File: KLE086+1 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : KLE086+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n006.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 05:28:33 EDT 2023

% Result   : Theorem 4.33s 4.60s
% Output   : Proof 4.33s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : KLE086+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15  % Command    : duper %s
% 0.13/0.36  % Computer : n006.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Tue Aug 29 10:58:51 EDT 2023
% 0.13/0.36  % CPUTime    : 
% 4.33/4.60  SZS status Theorem for theBenchmark.p
% 4.33/4.60  SZS output start Proof for theBenchmark.p
% 4.33/4.60  Clause #2 (by assumption #[]): Eq (∀ (A : Iota), Eq (addition A zero) A) True
% 4.33/4.60  Clause #5 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication A one) A) True
% 4.33/4.60  Clause #12 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (multiplication (antidomain X0) X0) zero) True
% 4.33/4.60  Clause #14 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (addition (antidomain (antidomain X0)) (antidomain X0)) one) True
% 4.33/4.60  Clause #15 (by assumption #[]): Eq (∀ (X0 : Iota), Eq (domain X0) (antidomain (antidomain X0))) True
% 4.33/4.60  Clause #20 (by assumption #[]): Eq (Not (Eq (domain zero) zero)) True
% 4.33/4.60  Clause #21 (by clausification #[20]): Eq (Eq (domain zero) zero) False
% 4.33/4.60  Clause #22 (by clausification #[21]): Ne (domain zero) zero
% 4.33/4.60  Clause #34 (by clausification #[5]): ∀ (a : Iota), Eq (Eq (multiplication a one) a) True
% 4.33/4.60  Clause #35 (by clausification #[34]): ∀ (a : Iota), Eq (multiplication a one) a
% 4.33/4.60  Clause #36 (by clausification #[2]): ∀ (a : Iota), Eq (Eq (addition a zero) a) True
% 4.33/4.60  Clause #37 (by clausification #[36]): ∀ (a : Iota), Eq (addition a zero) a
% 4.33/4.60  Clause #98 (by clausification #[15]): ∀ (a : Iota), Eq (Eq (domain a) (antidomain (antidomain a))) True
% 4.33/4.60  Clause #99 (by clausification #[98]): ∀ (a : Iota), Eq (domain a) (antidomain (antidomain a))
% 4.33/4.60  Clause #129 (by clausification #[12]): ∀ (a : Iota), Eq (Eq (multiplication (antidomain a) a) zero) True
% 4.33/4.60  Clause #130 (by clausification #[129]): ∀ (a : Iota), Eq (multiplication (antidomain a) a) zero
% 4.33/4.60  Clause #131 (by superposition #[130, 35]): Eq zero (antidomain one)
% 4.33/4.60  Clause #152 (by superposition #[131, 99]): Eq (domain one) (antidomain zero)
% 4.33/4.60  Clause #190 (by clausification #[14]): ∀ (a : Iota), Eq (Eq (addition (antidomain (antidomain a)) (antidomain a)) one) True
% 4.33/4.60  Clause #191 (by clausification #[190]): ∀ (a : Iota), Eq (addition (antidomain (antidomain a)) (antidomain a)) one
% 4.33/4.60  Clause #192 (by forward demodulation #[191, 99]): ∀ (a : Iota), Eq (addition (domain a) (antidomain a)) one
% 4.33/4.60  Clause #200 (by superposition #[192, 131]): Eq (addition (domain one) zero) one
% 4.33/4.60  Clause #203 (by forward demodulation #[200, 152]): Eq (addition (antidomain zero) zero) one
% 4.33/4.60  Clause #204 (by superposition #[203, 37]): Eq one (antidomain zero)
% 4.33/4.60  Clause #213 (by superposition #[204, 99]): Eq (domain zero) (antidomain one)
% 4.33/4.60  Clause #221 (by forward demodulation #[213, 131]): Eq (domain zero) zero
% 4.33/4.60  Clause #222 (by forward contextual literal cutting #[221, 22]): False
% 4.33/4.60  SZS output end Proof for theBenchmark.p
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