%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : GRP206-1 : TPTP v8.1.2. Released v2.3.0.
% 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 : n025.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 01:17:46 EDT 2023

% Result   : Unsatisfiable 0.19s 0.37s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP206-1 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.12  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 22:01:54 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.37  Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 0.19/0.37  
% 0.19/0.37  % SZS status Unsatisfiable
% 0.19/0.37  
% 0.19/0.37  % SZS output start Proof
% 0.19/0.37  Axiom 1 (right_identity): multiply(X, identity) = X.
% 0.19/0.37  Axiom 2 (left_identity): multiply(identity, X) = X.
% 0.19/0.37  Axiom 3 (moufang4): multiply(X, multiply(multiply(Y, Z), X)) = multiply(multiply(X, Y), multiply(Z, X)).
% 0.19/0.37  
% 0.19/0.37  Goal 1 (prove_moufang1): multiply(multiply(a, multiply(b, c)), a) = multiply(multiply(a, b), multiply(c, a)).
% 0.19/0.37  Proof:
% 0.19/0.38    multiply(multiply(a, multiply(b, c)), a)
% 0.19/0.38  = { by axiom 2 (left_identity) R->L }
% 0.19/0.38    multiply(multiply(a, multiply(b, c)), multiply(identity, a))
% 0.19/0.38  = { by axiom 3 (moufang4) R->L }
% 0.19/0.38    multiply(a, multiply(multiply(multiply(b, c), identity), a))
% 0.19/0.38  = { by axiom 1 (right_identity) }
% 0.19/0.38    multiply(a, multiply(multiply(b, c), a))
% 0.19/0.38  = { by axiom 3 (moufang4) }
% 0.19/0.38    multiply(multiply(a, b), multiply(c, a))
% 0.19/0.38  % SZS output end Proof
% 0.19/0.38  
% 0.19/0.38  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------