%------------------------------------------------------------------------------
% File     : Twee---2.5.0
% Problem  : BOO001-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : parallel-twee /export/starexec/sandbox2/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding

% Computer : n006.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 : Mon Jun 24 04:38:16 EDT 2024

% Result   : Unsatisfiable 0.14s 0.33s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : BOO001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.09  % Command  : parallel-twee /export/starexec/sandbox2/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding
% 0.08/0.29  % Computer : n006.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 300
% 0.08/0.29  % DateTime : Tue Jun 18 19:36:53 EDT 2024
% 0.08/0.29  % CPUTime  : 
% 0.14/0.33  Command-line arguments: --no-flatten-goal
% 0.14/0.33  
% 0.14/0.33  % SZS status Unsatisfiable
% 0.14/0.33  
% 0.14/0.33  % SZS output start Proof
% 0.14/0.33  Axiom 1 (ternary_multiply_1): multiply(X, Y, Y) = Y.
% 0.14/0.33  Axiom 2 (right_inverse): multiply(X, Y, inverse(Y)) = X.
% 0.14/0.33  Axiom 3 (associativity): multiply(multiply(X, Y, Z), W, multiply(X, Y, V)) = multiply(X, Y, multiply(Z, W, V)).
% 0.14/0.33  
% 0.14/0.33  Goal 1 (prove_inverse_is_self_cancelling): inverse(inverse(a)) = a.
% 0.14/0.33  Proof:
% 0.14/0.33    inverse(inverse(a))
% 0.14/0.33  = { by axiom 2 (right_inverse) R->L }
% 0.14/0.33    multiply(inverse(inverse(a)), a, inverse(a))
% 0.14/0.33  = { by axiom 1 (ternary_multiply_1) R->L }
% 0.14/0.33    multiply(inverse(inverse(a)), a, multiply(a, inverse(a), inverse(a)))
% 0.14/0.33  = { by axiom 3 (associativity) R->L }
% 0.14/0.33    multiply(multiply(inverse(inverse(a)), a, a), inverse(a), multiply(inverse(inverse(a)), a, inverse(a)))
% 0.14/0.33  = { by axiom 1 (ternary_multiply_1) }
% 0.14/0.33    multiply(a, inverse(a), multiply(inverse(inverse(a)), a, inverse(a)))
% 0.14/0.33  = { by axiom 2 (right_inverse) }
% 0.14/0.33    multiply(a, inverse(a), inverse(inverse(a)))
% 0.14/0.33  = { by axiom 2 (right_inverse) }
% 0.14/0.33    a
% 0.14/0.33  % SZS output end Proof
% 0.14/0.33  
% 0.14/0.33  RESULT: Unsatisfiable (the axioms are contradictory).
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