↑ Up

Duper---1.0.THM-Prf.s

View TPTP
Problem Process solution in
SystemOnTSTP Download .tgz 
%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : GEO178+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n014.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 07:48:08 PM UTC 2025

% Result   : Theorem 4.43s 4.63s
% Output   : Proof 4.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : GEO178+2 : TPTP v9.2.0. Released v3.3.0.
% 0.00/0.11  % Command    : duper %s
% 0.11/0.31  % Computer : n014.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri Oct  3 12:08:23 EDT 2025
% 0.11/0.31  % CPUTime    : 
% 4.43/4.63  SZS status Theorem for theBenchmark.p
% 4.43/4.63  SZS output start Proof for theBenchmark.p
% 4.43/4.63  Clause #6 (by assumption #[]): Eq
% 4.43/4.63    (∀ (X Y Z : Iota),
% 4.43/4.63      distinct_points X Y →
% 4.43/4.63        apart_point_and_line Z (line_connecting X Y) → And (distinct_points Z X) (distinct_points Z Y))
% 4.43/4.63    True
% 4.43/4.63  Clause #12 (by assumption #[]): Eq
% 4.43/4.63    (Not
% 4.43/4.63      (∀ (X Y Z : Iota),
% 4.43/4.63        And (distinct_points X Y) (apart_point_and_line Z (line_connecting X Y)) →
% 4.43/4.63          And (distinct_points Z X) (distinct_points Z Y)))
% 4.43/4.63    True
% 4.43/4.63  Clause #54 (by clausification #[6]): ∀ (a : Iota),
% 4.43/4.63    Eq
% 4.43/4.63      (∀ (Y Z : Iota),
% 4.43/4.63        distinct_points a Y →
% 4.43/4.63          apart_point_and_line Z (line_connecting a Y) → And (distinct_points Z a) (distinct_points Z Y))
% 4.43/4.63      True
% 4.43/4.63  Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota),
% 4.43/4.63    Eq
% 4.43/4.63      (∀ (Z : Iota),
% 4.43/4.63        distinct_points a a_1 →
% 4.43/4.63          apart_point_and_line Z (line_connecting a a_1) → And (distinct_points Z a) (distinct_points Z a_1))
% 4.43/4.63      True
% 4.43/4.63  Clause #56 (by clausification #[55]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.63    Eq
% 4.43/4.63      (distinct_points a a_1 →
% 4.43/4.63        apart_point_and_line a_2 (line_connecting a a_1) → And (distinct_points a_2 a) (distinct_points a_2 a_1))
% 4.43/4.63      True
% 4.43/4.63  Clause #57 (by clausification #[56]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.63    Or (Eq (distinct_points a a_1) False)
% 4.43/4.63      (Eq (apart_point_and_line a_2 (line_connecting a a_1) → And (distinct_points a_2 a) (distinct_points a_2 a_1)) True)
% 4.43/4.63  Clause #58 (by clausification #[57]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.63    Or (Eq (distinct_points a a_1) False)
% 4.43/4.63      (Or (Eq (apart_point_and_line a_2 (line_connecting a a_1)) False)
% 4.43/4.63        (Eq (And (distinct_points a_2 a) (distinct_points a_2 a_1)) True))
% 4.43/4.63  Clause #59 (by clausification #[58]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.63    Or (Eq (distinct_points a a_1) False)
% 4.43/4.63      (Or (Eq (apart_point_and_line a_2 (line_connecting a a_1)) False) (Eq (distinct_points a_2 a_1) True))
% 4.43/4.63  Clause #60 (by clausification #[58]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.63    Or (Eq (distinct_points a a_1) False)
% 4.43/4.63      (Or (Eq (apart_point_and_line a_2 (line_connecting a a_1)) False) (Eq (distinct_points a_2 a) True))
% 4.43/4.63  Clause #70 (by clausification #[12]): Eq
% 4.43/4.63    (∀ (X Y Z : Iota),
% 4.43/4.63      And (distinct_points X Y) (apart_point_and_line Z (line_connecting X Y)) →
% 4.43/4.63        And (distinct_points Z X) (distinct_points Z Y))
% 4.43/4.63    False
% 4.43/4.63  Clause #71 (by clausification #[70]): ∀ (a : Iota),
% 4.43/4.63    Eq
% 4.43/4.63      (Not
% 4.43/4.63        (∀ (Y Z : Iota),
% 4.43/4.63          And (distinct_points (skS.0 0 a) Y) (apart_point_and_line Z (line_connecting (skS.0 0 a) Y)) →
% 4.43/4.63            And (distinct_points Z (skS.0 0 a)) (distinct_points Z Y)))
% 4.43/4.63      True
% 4.43/4.63  Clause #72 (by clausification #[71]): ∀ (a : Iota),
% 4.43/4.63    Eq
% 4.43/4.63      (∀ (Y Z : Iota),
% 4.43/4.63        And (distinct_points (skS.0 0 a) Y) (apart_point_and_line Z (line_connecting (skS.0 0 a) Y)) →
% 4.43/4.63          And (distinct_points Z (skS.0 0 a)) (distinct_points Z Y))
% 4.43/4.63      False
% 4.43/4.63  Clause #73 (by clausification #[72]): ∀ (a a_1 : Iota),
% 4.43/4.63    Eq
% 4.43/4.63      (Not
% 4.43/4.63        (∀ (Z : Iota),
% 4.43/4.63          And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 4.43/4.63              (apart_point_and_line Z (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 4.43/4.63            And (distinct_points Z (skS.0 0 a)) (distinct_points Z (skS.0 1 a a_1))))
% 4.43/4.63      True
% 4.43/4.63  Clause #74 (by clausification #[73]): ∀ (a a_1 : Iota),
% 4.43/4.63    Eq
% 4.43/4.63      (∀ (Z : Iota),
% 4.43/4.63        And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 4.43/4.63            (apart_point_and_line Z (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 4.43/4.63          And (distinct_points Z (skS.0 0 a)) (distinct_points Z (skS.0 1 a a_1)))
% 4.43/4.63      False
% 4.43/4.63  Clause #75 (by clausification #[74]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.63    Eq
% 4.43/4.63      (Not
% 4.43/4.63        (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 4.43/4.63            (apart_point_and_line (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 4.43/4.63          And (distinct_points (skS.0 2 a a_1 a_2) (skS.0 0 a)) (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1))))
% 4.43/4.63      True
% 4.43/4.63  Clause #76 (by clausification #[75]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.63    Eq
% 4.43/4.63      (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 4.43/4.63          (apart_point_and_line (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) →
% 4.43/4.63        And (distinct_points (skS.0 2 a a_1 a_2) (skS.0 0 a)) (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)))
% 4.43/4.65      False
% 4.43/4.65  Clause #77 (by clausification #[76]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.65    Eq
% 4.43/4.65      (And (distinct_points (skS.0 0 a) (skS.0 1 a a_1))
% 4.43/4.65        (apart_point_and_line (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))))
% 4.43/4.65      True
% 4.43/4.65  Clause #78 (by clausification #[76]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.65    Eq (And (distinct_points (skS.0 2 a a_1 a_2) (skS.0 0 a)) (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1))) False
% 4.43/4.65  Clause #79 (by clausification #[77]): ∀ (a a_1 a_2 : Iota), Eq (apart_point_and_line (skS.0 2 a a_1 a_2) (line_connecting (skS.0 0 a) (skS.0 1 a a_1))) True
% 4.43/4.65  Clause #80 (by clausification #[77]): ∀ (a a_1 : Iota), Eq (distinct_points (skS.0 0 a) (skS.0 1 a a_1)) True
% 4.43/4.65  Clause #84 (by superposition #[80, 59]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.65    Or (Eq True False)
% 4.43/4.65      (Or (Eq (apart_point_and_line a (line_connecting (skS.0 0 a_1) (skS.0 1 a_1 a_2))) False)
% 4.43/4.65        (Eq (distinct_points a (skS.0 1 a_1 a_2)) True))
% 4.43/4.65  Clause #86 (by superposition #[80, 60]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.65    Or (Eq True False)
% 4.43/4.65      (Or (Eq (apart_point_and_line a (line_connecting (skS.0 0 a_1) (skS.0 1 a_1 a_2))) False)
% 4.43/4.65        (Eq (distinct_points a (skS.0 0 a_1)) True))
% 4.43/4.65  Clause #93 (by clausification #[78]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.65    Or (Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 0 a)) False)
% 4.43/4.65      (Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) False)
% 4.43/4.65  Clause #132 (by clausification #[86]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.65    Or (Eq (apart_point_and_line a (line_connecting (skS.0 0 a_1) (skS.0 1 a_1 a_2))) False)
% 4.43/4.65      (Eq (distinct_points a (skS.0 0 a_1)) True)
% 4.43/4.65  Clause #133 (by superposition #[132, 79]): ∀ (a a_1 a_2 : Iota), Or (Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 0 a)) True) (Eq False True)
% 4.43/4.65  Clause #135 (by clausification #[133]): ∀ (a a_1 a_2 : Iota), Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 0 a)) True
% 4.43/4.65  Clause #136 (by backward demodulation #[135, 93]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) False)
% 4.43/4.65  Clause #148 (by clausification #[136]): ∀ (a a_1 a_2 : Iota), Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) False
% 4.43/4.65  Clause #164 (by clausification #[84]): ∀ (a a_1 a_2 : Iota),
% 4.43/4.65    Or (Eq (apart_point_and_line a (line_connecting (skS.0 0 a_1) (skS.0 1 a_1 a_2))) False)
% 4.43/4.65      (Eq (distinct_points a (skS.0 1 a_1 a_2)) True)
% 4.43/4.65  Clause #165 (by superposition #[164, 79]): ∀ (a a_1 a_2 : Iota), Or (Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True) (Eq False True)
% 4.43/4.65  Clause #168 (by clausification #[165]): ∀ (a a_1 a_2 : Iota), Eq (distinct_points (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True
% 4.43/4.65  Clause #169 (by superposition #[168, 148]): Eq True False
% 4.43/4.65  Clause #174 (by clausification #[169]): False
% 4.43/4.65  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------