%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : GRP665-12 : TPTP v8.1.2. Released v8.1.0.
% 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 01:19:34 EDT 2023

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP665-12 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13  % 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 : n025.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 : Mon Aug 28 22:59:55 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.38  Command-line arguments: --no-flatten-goal
% 0.14/0.38  
% 0.14/0.38  % SZS status Unsatisfiable
% 0.14/0.38  
% 0.14/0.38  % SZS output start Proof
% 0.14/0.38  Axiom 1 (f09): mult(op_c, X) = mult(X, op_c).
% 0.14/0.38  Axiom 2 (f04): rd(mult(X, Y), Y) = X.
% 0.14/0.38  Axiom 3 (f07): mult(X, mult(Y, Z)) = mult(rd(mult(X, Y), X), mult(X, Z)).
% 0.14/0.38  
% 0.14/0.38  Goal 1 (goal): mult(mult(x0, x1), op_c) = mult(x0, mult(x1, op_c)).
% 0.14/0.38  Proof:
% 0.14/0.38    mult(mult(x0, x1), op_c)
% 0.14/0.38  = { by axiom 1 (f09) R->L }
% 0.14/0.38    mult(op_c, mult(x0, x1))
% 0.14/0.38  = { by axiom 3 (f07) }
% 0.14/0.38    mult(rd(mult(op_c, x0), op_c), mult(op_c, x1))
% 0.14/0.38  = { by axiom 1 (f09) }
% 0.14/0.38    mult(rd(mult(x0, op_c), op_c), mult(op_c, x1))
% 0.14/0.38  = { by axiom 2 (f04) }
% 0.14/0.38    mult(x0, mult(op_c, x1))
% 0.14/0.38  = { by axiom 1 (f09) }
% 0.14/0.38    mult(x0, mult(x1, op_c))
% 0.14/0.38  % SZS output end Proof
% 0.14/0.38  
% 0.14/0.38  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------