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Duper---1.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : CSR004+2 : TPTP v9.2.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n001.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 Oct  3 07:46:01 PM UTC 2025

% Result   : Theorem 3.91s 4.10s
% Output   : Proof 3.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : CSR004+2 : TPTP v9.2.0. Bugfixed v3.1.0.
% 0.04/0.14  % Command    : duper %s
% 0.14/0.35  % Computer : n001.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   : Thu Oct  2 19:32:23 EDT 2025
% 0.14/0.35  % CPUTime    : 
% 3.91/4.10  SZS status Theorem for theBenchmark.p
% 3.91/4.10  SZS output start Proof for theBenchmark.p
% 3.91/4.10  Clause #15 (by assumption #[]): Eq
% 3.91/4.10    (∀ (Event Time : Iota),
% 3.91/4.10      Iff (happens Event Time)
% 3.91/4.10        (Or (And (Eq Event tapOn) (Eq Time n0))
% 3.91/4.10          (And (And (holdsAt (waterLevel n3) Time) (holdsAt filling Time)) (Eq Event overflow))))
% 3.91/4.10    True
% 3.91/4.10  Clause #54 (by assumption #[]): Eq (holdsAt (waterLevel n3) n3) True
% 3.91/4.10  Clause #55 (by assumption #[]): Eq (holdsAt filling n3) True
% 3.91/4.10  Clause #56 (by assumption #[]): Eq (Not (happens overflow n3)) True
% 3.91/4.10  Clause #71 (by clausification #[56]): Eq (happens overflow n3) False
% 3.91/4.10  Clause #331 (by clausification #[15]): ∀ (a : Iota),
% 3.91/4.10    Eq
% 3.91/4.10      (∀ (Time : Iota),
% 3.91/4.10        Iff (happens a Time)
% 3.91/4.10          (Or (And (Eq a tapOn) (Eq Time n0))
% 3.91/4.10            (And (And (holdsAt (waterLevel n3) Time) (holdsAt filling Time)) (Eq a overflow))))
% 3.91/4.10      True
% 3.91/4.10  Clause #332 (by clausification #[331]): ∀ (a a_1 : Iota),
% 3.91/4.10    Eq
% 3.91/4.10      (Iff (happens a a_1)
% 3.91/4.10        (Or (And (Eq a tapOn) (Eq a_1 n0))
% 3.91/4.10          (And (And (holdsAt (waterLevel n3) a_1) (holdsAt filling a_1)) (Eq a overflow))))
% 3.91/4.10      True
% 3.91/4.10  Clause #333 (by clausification #[332]): ∀ (a a_1 : Iota),
% 3.91/4.10    Or (Eq (happens a a_1) True)
% 3.91/4.10      (Eq
% 3.91/4.10        (Or (And (Eq a tapOn) (Eq a_1 n0))
% 3.91/4.10          (And (And (holdsAt (waterLevel n3) a_1) (holdsAt filling a_1)) (Eq a overflow)))
% 3.91/4.10        False)
% 3.91/4.10  Clause #335 (by clausification #[333]): ∀ (a a_1 : Iota),
% 3.91/4.10    Or (Eq (happens a a_1) True)
% 3.91/4.10      (Eq (And (And (holdsAt (waterLevel n3) a_1) (holdsAt filling a_1)) (Eq a overflow)) False)
% 3.91/4.10  Clause #337 (by clausification #[335]): ∀ (a a_1 : Iota),
% 3.91/4.10    Or (Eq (happens a a_1) True)
% 3.91/4.10      (Or (Eq (And (holdsAt (waterLevel n3) a_1) (holdsAt filling a_1)) False) (Eq (Eq a overflow) False))
% 3.91/4.10  Clause #338 (by clausification #[337]): ∀ (a a_1 : Iota),
% 3.91/4.10    Or (Eq (happens a a_1) True)
% 3.91/4.10      (Or (Eq (Eq a overflow) False) (Or (Eq (holdsAt (waterLevel n3) a_1) False) (Eq (holdsAt filling a_1) False)))
% 3.91/4.10  Clause #339 (by clausification #[338]): ∀ (a a_1 : Iota),
% 3.91/4.10    Or (Eq (happens a a_1) True)
% 3.91/4.10      (Or (Eq (holdsAt (waterLevel n3) a_1) False) (Or (Eq (holdsAt filling a_1) False) (Ne a overflow)))
% 3.91/4.10  Clause #340 (by destructive equality resolution #[339]): ∀ (a : Iota),
% 3.91/4.10    Or (Eq (happens overflow a) True) (Or (Eq (holdsAt (waterLevel n3) a) False) (Eq (holdsAt filling a) False))
% 3.91/4.10  Clause #341 (by superposition #[340, 54]): Or (Eq (happens overflow n3) True) (Or (Eq (holdsAt filling n3) False) (Eq False True))
% 3.91/4.10  Clause #342 (by clausification #[341]): Or (Eq (happens overflow n3) True) (Eq (holdsAt filling n3) False)
% 3.91/4.10  Clause #343 (by forward demodulation #[342, 55]): Or (Eq (happens overflow n3) True) (Eq True False)
% 3.91/4.10  Clause #344 (by clausification #[343]): Eq (happens overflow n3) True
% 3.91/4.10  Clause #345 (by superposition #[344, 71]): Eq True False
% 3.91/4.10  Clause #350 (by clausification #[345]): False
% 3.91/4.10  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------