%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : GRP698-1 : 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 : n009.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 01:19:45 EDT 2023

% Result   : Unsatisfiable 0.19s 0.45s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : GRP698-1 : 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 : n009.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 : Tue Aug 29 01:39:36 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  Command-line arguments: --no-flatten-goal
% 0.19/0.45  
% 0.19/0.45  % SZS status Unsatisfiable
% 0.19/0.45  
% 0.19/0.45  % SZS output start Proof
% 0.19/0.45  Axiom 1 (c05): mult(X, unit) = X.
% 0.19/0.45  Axiom 2 (c02): ld(X, mult(X, Y)) = Y.
% 0.19/0.45  Axiom 3 (c01): mult(X, ld(X, Y)) = Y.
% 0.19/0.45  Axiom 4 (c03): mult(rd(X, Y), Y) = X.
% 0.19/0.45  Axiom 5 (c07): mult(mult(mult(X, Y), X), mult(X, Z)) = mult(X, mult(mult(mult(Y, X), X), Z)).
% 0.19/0.45  
% 0.19/0.45  Goal 1 (goals): mult(a, mult(b, c)) = mult(rd(mult(a, b), a), mult(a, c)).
% 0.19/0.45  Proof:
% 0.19/0.45    mult(a, mult(b, c))
% 0.19/0.45  = { by axiom 2 (c02) R->L }
% 0.19/0.45    mult(a, mult(ld(a, mult(a, b)), c))
% 0.19/0.45  = { by axiom 4 (c03) R->L }
% 0.19/0.45    mult(a, mult(ld(a, mult(rd(mult(a, b), a), a)), c))
% 0.19/0.45  = { by axiom 4 (c03) R->L }
% 0.19/0.45    mult(a, mult(ld(a, mult(mult(rd(rd(mult(a, b), a), a), a), a)), c))
% 0.19/0.45  = { by axiom 3 (c01) R->L }
% 0.19/0.45    mult(a, mult(ld(a, mult(mult(mult(a, ld(a, rd(rd(mult(a, b), a), a))), a), a)), c))
% 0.19/0.45  = { by axiom 1 (c05) R->L }
% 0.19/0.45    mult(a, mult(ld(a, mult(mult(mult(a, ld(a, rd(rd(mult(a, b), a), a))), a), mult(a, unit))), c))
% 0.19/0.45  = { by axiom 5 (c07) }
% 0.19/0.45    mult(a, mult(ld(a, mult(a, mult(mult(mult(ld(a, rd(rd(mult(a, b), a), a)), a), a), unit))), c))
% 0.19/0.45  = { by axiom 1 (c05) }
% 0.19/0.45    mult(a, mult(ld(a, mult(a, mult(mult(ld(a, rd(rd(mult(a, b), a), a)), a), a))), c))
% 0.19/0.45  = { by axiom 2 (c02) }
% 0.19/0.45    mult(a, mult(mult(mult(ld(a, rd(rd(mult(a, b), a), a)), a), a), c))
% 0.19/0.45  = { by axiom 5 (c07) R->L }
% 0.19/0.45    mult(mult(mult(a, ld(a, rd(rd(mult(a, b), a), a))), a), mult(a, c))
% 0.19/0.45  = { by axiom 3 (c01) }
% 0.19/0.45    mult(mult(rd(rd(mult(a, b), a), a), a), mult(a, c))
% 0.19/0.45  = { by axiom 4 (c03) }
% 0.19/0.45    mult(rd(mult(a, b), a), mult(a, c))
% 0.19/0.45  % SZS output end Proof
% 0.19/0.45  
% 0.19/0.45  RESULT: Unsatisfiable (the axioms are contradictory).
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