%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : REL049+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof

% 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 : Thu Aug 31 13:44:33 EDT 2023

% Result   : Theorem 0.20s 0.40s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : REL049+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.17/0.35  % Computer : n014.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Fri Aug 25 22:40:02 EDT 2023
% 0.17/0.36  % CPUTime  : 
% 0.20/0.40  Command-line arguments: --ground-connectedness --complete-subsets
% 0.20/0.40  
% 0.20/0.40  % SZS status Theorem
% 0.20/0.40  
% 0.20/0.41  % SZS output start Proof
% 0.20/0.41  Axiom 1 (goals): join(x2, x1) = x1.
% 0.20/0.41  Axiom 2 (goals_1): join(x0, x1) = x1.
% 0.20/0.41  Axiom 3 (maddux2_join_associativity): join(X, join(Y, Z)) = join(join(X, Y), Z).
% 0.20/0.41  
% 0.20/0.41  Goal 1 (goals_2): join(join(x0, x2), x1) = x1.
% 0.20/0.41  Proof:
% 0.20/0.41    join(join(x0, x2), x1)
% 0.20/0.41  = { by axiom 3 (maddux2_join_associativity) R->L }
% 0.20/0.41    join(x0, join(x2, x1))
% 0.20/0.41  = { by axiom 1 (goals) }
% 0.20/0.41    join(x0, x1)
% 0.20/0.41  = { by axiom 2 (goals_1) }
% 0.20/0.41    x1
% 0.20/0.41  % SZS output end Proof
% 0.20/0.41  
% 0.20/0.41  RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------