↑ Up

Duper---1.0.THM-Prf.s

View TPTP
Problem Process solution in
SystemOnTSTP Download .tgz 
%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : SYN346+1 : TPTP v9.2.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n019.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 08:07:27 PM UTC 2025

% Result   : Theorem 3.64s 3.83s
% Output   : Proof 3.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SYN346+1 : TPTP v9.2.0. Released v2.0.0.
% 0.07/0.15  % Command    : duper %s
% 0.13/0.37  % Computer : n019.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit   : 300
% 0.13/0.37  % WCLimit    : 300
% 0.13/0.37  % DateTime   : Thu Oct  2 15:21:38 EDT 2025
% 0.13/0.37  % CPUTime    : 
% 3.64/3.83  SZS status Theorem for theBenchmark.p
% 3.64/3.83  SZS output start Proof for theBenchmark.p
% 3.64/3.83  Clause #0 (by assumption #[]): Eq
% 3.64/3.83    (Not
% 3.64/3.83      (Iota →
% 3.64/3.83        ∀ (X2 : Iota),
% 3.64/3.83          Exists fun Y1 =>
% 3.64/3.83            Exists fun Y2 =>
% 3.64/3.83              ∀ (Z1 Z2 : Iota),
% 3.64/3.83                big_f X2 Z1 → big_f Y1 Z2 → Or (And (big_f Y1 Z1) (big_f Y2 Z1)) (And (big_f X2 Z2) (big_f Y2 Z2))))
% 3.64/3.83    True
% 3.64/3.83  Clause #1 (by clausification #[0]): Eq
% 3.64/3.83    (Iota →
% 3.64/3.83      ∀ (X2 : Iota),
% 3.64/3.83        Exists fun Y1 =>
% 3.64/3.83          Exists fun Y2 =>
% 3.64/3.83            ∀ (Z1 Z2 : Iota),
% 3.64/3.83              big_f X2 Z1 → big_f Y1 Z2 → Or (And (big_f Y1 Z1) (big_f Y2 Z1)) (And (big_f X2 Z2) (big_f Y2 Z2)))
% 3.64/3.83    False
% 3.64/3.83  Clause #2 (by clausification #[1]): Iota →
% 3.64/3.83    Eq
% 3.64/3.83      (Not
% 3.64/3.83        (∀ (X2 : Iota),
% 3.64/3.83          Exists fun Y1 =>
% 3.64/3.83            Exists fun Y2 =>
% 3.64/3.83              ∀ (Z1 Z2 : Iota),
% 3.64/3.83                big_f X2 Z1 → big_f Y1 Z2 → Or (And (big_f Y1 Z1) (big_f Y2 Z1)) (And (big_f X2 Z2) (big_f Y2 Z2))))
% 3.64/3.83      True
% 3.64/3.83  Clause #3 (by clausification #[2]): Eq
% 3.64/3.83    (∀ (X2 : Iota),
% 3.64/3.83      Exists fun Y1 =>
% 3.64/3.83        Exists fun Y2 =>
% 3.64/3.83          ∀ (Z1 Z2 : Iota),
% 3.64/3.83            big_f X2 Z1 → big_f Y1 Z2 → Or (And (big_f Y1 Z1) (big_f Y2 Z1)) (And (big_f X2 Z2) (big_f Y2 Z2)))
% 3.64/3.83    False
% 3.64/3.83  Clause #4 (by clausification #[3]): ∀ (a : Iota),
% 3.64/3.83    Eq
% 3.64/3.83      (Not
% 3.64/3.83        (Exists fun Y1 =>
% 3.64/3.83          Exists fun Y2 =>
% 3.64/3.83            ∀ (Z1 Z2 : Iota),
% 3.64/3.83              big_f (skS.0 1 a) Z1 →
% 3.64/3.83                big_f Y1 Z2 → Or (And (big_f Y1 Z1) (big_f Y2 Z1)) (And (big_f (skS.0 1 a) Z2) (big_f Y2 Z2))))
% 3.64/3.83      True
% 3.64/3.83  Clause #5 (by clausification #[4]): ∀ (a : Iota),
% 3.64/3.83    Eq
% 3.64/3.83      (Exists fun Y1 =>
% 3.64/3.83        Exists fun Y2 =>
% 3.64/3.83          ∀ (Z1 Z2 : Iota),
% 3.64/3.83            big_f (skS.0 1 a) Z1 →
% 3.64/3.83              big_f Y1 Z2 → Or (And (big_f Y1 Z1) (big_f Y2 Z1)) (And (big_f (skS.0 1 a) Z2) (big_f Y2 Z2)))
% 3.64/3.83      False
% 3.64/3.83  Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota),
% 3.64/3.83    Eq
% 3.64/3.83      (Exists fun Y2 =>
% 3.64/3.83        ∀ (Z1 Z2 : Iota),
% 3.64/3.83          big_f (skS.0 1 a) Z1 →
% 3.64/3.83            big_f a_1 Z2 → Or (And (big_f a_1 Z1) (big_f Y2 Z1)) (And (big_f (skS.0 1 a) Z2) (big_f Y2 Z2)))
% 3.64/3.83      False
% 3.64/3.83  Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota),
% 3.64/3.83    Eq
% 3.64/3.83      (∀ (Z1 Z2 : Iota),
% 3.64/3.83        big_f (skS.0 1 a) Z1 →
% 3.64/3.83          big_f a_1 Z2 → Or (And (big_f a_1 Z1) (big_f a_2 Z1)) (And (big_f (skS.0 1 a) Z2) (big_f a_2 Z2)))
% 3.64/3.83      False
% 3.64/3.83  Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.64/3.83    Eq
% 3.64/3.83      (Not
% 3.64/3.83        (∀ (Z2 : Iota),
% 3.64/3.83          big_f (skS.0 1 a) (skS.0 2 a a_1 a_2 a_3) →
% 3.64/3.83            big_f a_1 Z2 →
% 3.64/3.83              Or (And (big_f a_1 (skS.0 2 a a_1 a_2 a_3)) (big_f a_2 (skS.0 2 a a_1 a_2 a_3)))
% 3.64/3.83                (And (big_f (skS.0 1 a) Z2) (big_f a_2 Z2))))
% 3.64/3.83      True
% 3.64/3.83  Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.64/3.83    Eq
% 3.64/3.83      (∀ (Z2 : Iota),
% 3.64/3.83        big_f (skS.0 1 a) (skS.0 2 a a_1 a_2 a_3) →
% 3.64/3.83          big_f a_1 Z2 →
% 3.64/3.83            Or (And (big_f a_1 (skS.0 2 a a_1 a_2 a_3)) (big_f a_2 (skS.0 2 a a_1 a_2 a_3)))
% 3.64/3.83              (And (big_f (skS.0 1 a) Z2) (big_f a_2 Z2)))
% 3.64/3.83      False
% 3.64/3.83  Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.64/3.83    Eq
% 3.64/3.83      (Not
% 3.64/3.83        (big_f (skS.0 1 a) (skS.0 2 a a_1 a_2 a_3) →
% 3.64/3.83          big_f a_1 (skS.0 3 a a_1 a_2 a_3 a_4) →
% 3.64/3.83            Or (And (big_f a_1 (skS.0 2 a a_1 a_2 a_3)) (big_f a_2 (skS.0 2 a a_1 a_2 a_3)))
% 3.64/3.83              (And (big_f (skS.0 1 a) (skS.0 3 a a_1 a_2 a_3 a_4)) (big_f a_2 (skS.0 3 a a_1 a_2 a_3 a_4)))))
% 3.64/3.83      True
% 3.64/3.83  Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.64/3.83    Eq
% 3.64/3.83      (big_f (skS.0 1 a) (skS.0 2 a a_1 a_2 a_3) →
% 3.64/3.83        big_f a_1 (skS.0 3 a a_1 a_2 a_3 a_4) →
% 3.64/3.83          Or (And (big_f a_1 (skS.0 2 a a_1 a_2 a_3)) (big_f a_2 (skS.0 2 a a_1 a_2 a_3)))
% 3.64/3.83            (And (big_f (skS.0 1 a) (skS.0 3 a a_1 a_2 a_3 a_4)) (big_f a_2 (skS.0 3 a a_1 a_2 a_3 a_4))))
% 3.64/3.83      False
% 3.64/3.83  Clause #13 (by clausification #[11]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.64/3.83    Eq
% 3.64/3.83      (big_f a (skS.0 3 a_1 a a_2 a_3 a_4) →
% 3.64/3.83        Or (And (big_f a (skS.0 2 a_1 a a_2 a_3)) (big_f a_2 (skS.0 2 a_1 a a_2 a_3)))
% 3.64/3.83          (And (big_f (skS.0 1 a_1) (skS.0 3 a_1 a a_2 a_3 a_4)) (big_f a_2 (skS.0 3 a_1 a a_2 a_3 a_4))))
% 3.64/3.83      False
% 3.64/3.83  Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (big_f a (skS.0 3 a_1 a a_2 a_3 a_4)) True
% 3.64/3.83  Clause #15 (by clausification #[13]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.64/3.83    Eq
% 3.64/3.83      (Or (And (big_f a (skS.0 2 a_1 a a_2 a_3)) (big_f a_2 (skS.0 2 a_1 a a_2 a_3)))
% 3.64/3.83        (And (big_f (skS.0 1 a_1) (skS.0 3 a_1 a a_2 a_3 a_4)) (big_f a_2 (skS.0 3 a_1 a a_2 a_3 a_4))))
% 3.64/3.83      False
% 3.64/3.83  Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.64/3.83    Eq (And (big_f (skS.0 1 a) (skS.0 3 a a_1 a_2 a_3 a_4)) (big_f a_2 (skS.0 3 a a_1 a_2 a_3 a_4))) False
% 3.64/3.83  Clause #18 (by clausification #[16]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.64/3.83    Or (Eq (big_f (skS.0 1 a) (skS.0 3 a a_1 a_2 a_3 a_4)) False) (Eq (big_f a_2 (skS.0 3 a a_1 a_2 a_3 a_4)) False)
% 3.64/3.83  Clause #19 (by superposition #[18, 14]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (big_f a (skS.0 3 a_1 (skS.0 1 a_1) a a_2 a_3)) False) (Eq False True)
% 3.64/3.83  Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 a_3 : Iota), Eq (big_f a (skS.0 3 a_1 (skS.0 1 a_1) a a_2 a_3)) False
% 3.64/3.83  Clause #21 (by superposition #[20, 14]): Eq False True
% 3.64/3.83  Clause #22 (by clausification #[21]): False
% 3.64/3.83  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------