%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n007.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 03:33:06 EDT 2023

% Result   : Theorem 0.14s 0.37s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.34  % Computer : n007.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 21:38:57 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.37  Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 0.14/0.37  
% 0.14/0.37  % SZS status Theorem
% 0.14/0.37  
% 0.14/0.37  % SZS output start Proof
% 0.14/0.37  Axiom 1 (p61_1): f(X, f(Y, Z)) = f(f(X, Y), Z).
% 0.14/0.37  
% 0.14/0.37  Goal 1 (pel61): f(x, f(y, f(z, w))) = f(f(f(x, y), z), w).
% 0.14/0.37  Proof:
% 0.14/0.37    f(x, f(y, f(z, w)))
% 0.14/0.37  = { by axiom 1 (p61_1) }
% 0.14/0.37    f(f(x, y), f(z, w))
% 0.14/0.37  = { by axiom 1 (p61_1) }
% 0.14/0.37    f(f(f(x, y), z), w)
% 0.14/0.37  % SZS output end Proof
% 0.14/0.37  
% 0.14/0.37  RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------