%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : GRP671-1 : 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 : n029.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 01:19:38 EDT 2023

% Result   : Unsatisfiable 0.13s 0.38s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP671-1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 20:52:26 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.38  Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 0.13/0.38  
% 0.13/0.38  % SZS status Unsatisfiable
% 0.13/0.38  
% 0.13/0.38  % SZS output start Proof
% 0.13/0.38  Axiom 1 (c05): mult(X, unit) = X.
% 0.13/0.38  Axiom 2 (c06): mult(unit, X) = X.
% 0.13/0.38  Axiom 3 (c09): mult(mult(X, Y), mult(Z, mult(X, Y))) = mult(mult(mult(X, mult(Y, Z)), X), Y).
% 0.13/0.38  
% 0.13/0.38  Goal 1 (goals): mult(mult(a, b), a) = mult(a, mult(b, a)).
% 0.13/0.38  Proof:
% 0.13/0.38    mult(mult(a, b), a)
% 0.13/0.38  = { by axiom 2 (c06) R->L }
% 0.13/0.38    mult(mult(a, mult(unit, b)), a)
% 0.13/0.38  = { by axiom 1 (c05) R->L }
% 0.13/0.38    mult(mult(mult(a, mult(unit, b)), a), unit)
% 0.13/0.38  = { by axiom 3 (c09) R->L }
% 0.13/0.38    mult(mult(a, unit), mult(b, mult(a, unit)))
% 0.13/0.38  = { by axiom 1 (c05) }
% 0.13/0.38    mult(a, mult(b, mult(a, unit)))
% 0.13/0.38  = { by axiom 1 (c05) }
% 0.13/0.38    mult(a, mult(b, a))
% 0.13/0.38  % SZS output end Proof
% 0.13/0.38  
% 0.13/0.38  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------