TSTP Solution File: ALG235-1 by Twee---2.4.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : ALG235-1 : 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 : n016.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 : Wed Aug 30 16:42:42 EDT 2023

% Result   : Unsatisfiable 0.20s 0.37s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG235-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.34  % Computer : n016.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 04:59:59 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.37  Command-line arguments: --no-flatten-goal
% 0.20/0.37  
% 0.20/0.37  % SZS status Unsatisfiable
% 0.20/0.37  
% 0.20/0.38  % SZS output start Proof
% 0.20/0.38  Axiom 1 (c01): mult(X, mult(Y, mult(X, Y))) = mult(X, Y).
% 0.20/0.38  Axiom 2 (c02): mult(X, mult(Y, mult(Z, W))) = mult(Z, mult(Y, mult(X, W))).
% 0.20/0.38  
% 0.20/0.38  Goal 1 (goals): mult(a, mult(b, mult(a, mult(c, mult(d, c))))) = mult(a, mult(b, mult(d, c))).
% 0.20/0.38  Proof:
% 0.20/0.38    mult(a, mult(b, mult(a, mult(c, mult(d, c)))))
% 0.20/0.38  = { by axiom 2 (c02) }
% 0.20/0.38    mult(a, mult(b, mult(d, mult(c, mult(a, c)))))
% 0.20/0.38  = { by axiom 2 (c02) }
% 0.20/0.38    mult(d, mult(b, mult(a, mult(c, mult(a, c)))))
% 0.20/0.38  = { by axiom 1 (c01) }
% 0.20/0.38    mult(d, mult(b, mult(a, c)))
% 0.20/0.38  = { by axiom 2 (c02) R->L }
% 0.20/0.38    mult(a, mult(b, mult(d, c)))
% 0.20/0.38  % SZS output end Proof
% 0.20/0.38  
% 0.20/0.38  RESULT: Unsatisfiable (the axioms are contradictory).
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