%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : GRP750-1 : 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 : n003.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 01:19:59 EDT 2023

% Result   : Unsatisfiable 0.20s 0.41s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP750-1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Aug 28 23:53:40 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.20/0.41  Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 0.20/0.41  
% 0.20/0.41  % SZS status Unsatisfiable
% 0.20/0.41  
% 0.20/0.42  % SZS output start Proof
% 0.20/0.42  Axiom 1 (f02): ld(X, mult(X, Y)) = Y.
% 0.20/0.42  Axiom 2 (f06): mult(mult(X, Y), mult(Z, Z)) = mult(mult(X, Z), mult(Y, Z)).
% 0.20/0.42  Axiom 3 (f05): mult(mult(X, mult(X, X)), mult(Y, Z)) = mult(mult(X, Y), mult(mult(X, X), Z)).
% 0.20/0.42  
% 0.20/0.42  Goal 1 (goals): mult(mult(a, a), mult(b, c)) = mult(mult(a, b), mult(a, c)).
% 0.20/0.42  Proof:
% 0.20/0.42    mult(mult(a, a), mult(b, c))
% 0.20/0.42  = { by axiom 1 (f02) R->L }
% 0.20/0.42    ld(mult(a, mult(a, c)), mult(mult(a, mult(a, c)), mult(mult(a, a), mult(b, c))))
% 0.20/0.42  = { by axiom 3 (f05) R->L }
% 0.20/0.42    ld(mult(a, mult(a, c)), mult(mult(a, mult(a, a)), mult(mult(a, c), mult(b, c))))
% 0.20/0.42  = { by axiom 2 (f06) R->L }
% 0.20/0.42    ld(mult(a, mult(a, c)), mult(mult(a, mult(a, a)), mult(mult(a, b), mult(c, c))))
% 0.20/0.42  = { by axiom 3 (f05) }
% 0.20/0.42    ld(mult(a, mult(a, c)), mult(mult(a, mult(a, b)), mult(mult(a, a), mult(c, c))))
% 0.20/0.42  = { by axiom 2 (f06) }
% 0.20/0.42    ld(mult(a, mult(a, c)), mult(mult(a, mult(a, b)), mult(mult(a, c), mult(a, c))))
% 0.20/0.42  = { by axiom 2 (f06) }
% 0.20/0.42    ld(mult(a, mult(a, c)), mult(mult(a, mult(a, c)), mult(mult(a, b), mult(a, c))))
% 0.20/0.42  = { by axiom 1 (f02) }
% 0.20/0.42    mult(mult(a, b), mult(a, c))
% 0.20/0.42  % SZS output end Proof
% 0.20/0.42  
% 0.20/0.42  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------