%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYO061^4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n026.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 04:21:19 EDT 2023

% Result   : Theorem 5.24s 5.44s
% Output   : Proof 5.24s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYO061^4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : duper %s
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 07:17:48 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 5.24/5.44  SZS status Theorem for theBenchmark.p
% 5.24/5.44  SZS output start Proof for theBenchmark.p
% 5.24/5.44  Clause #7 (by assumption #[]): Eq (Eq iatom fun P => P) True
% 5.24/5.44  Clause #21 (by assumption #[]): Eq (ivalid (iimplies (iatom a) (iatom b))) True
% 5.24/5.44  Clause #22 (by assumption #[]): Eq (Not (ivalid (iimplies (iatom a) (iatom b)))) True
% 5.24/5.44  Clause #38 (by clausification #[7]): Eq iatom fun P => P
% 5.24/5.44  Clause #39 (by argument congruence #[38]): ∀ (a : Iota → Prop), Eq (iatom a) ((fun P => P) a)
% 5.24/5.44  Clause #44 (by betaEtaReduce #[39]): ∀ (a : Iota → Prop), Eq (iatom a) a
% 5.24/5.44  Clause #45 (by backward demodulation #[44, 21]): Eq (ivalid (iimplies (iatom a) b)) True
% 5.24/5.44  Clause #76 (by forward demodulation #[45, 44]): Eq (ivalid (iimplies a b)) True
% 5.24/5.44  Clause #630 (by clausification #[22]): Eq (ivalid (iimplies (iatom a) (iatom b))) False
% 5.24/5.44  Clause #631 (by forward demodulation #[630, 44]): Eq (ivalid (iimplies (iatom a) b)) False
% 5.24/5.44  Clause #632 (by forward demodulation #[631, 44]): Eq (ivalid (iimplies a b)) False
% 5.24/5.44  Clause #633 (by superposition #[632, 76]): Eq False True
% 5.24/5.44  Clause #636 (by clausification #[633]): False
% 5.24/5.44  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------