%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : BOO005-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n004.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 18:11:17 EDT 2023

% Result   : Unsatisfiable 0.19s 0.39s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : BOO005-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n004.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 : Sun Aug 27 07:42:52 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.39  Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 0.19/0.39  
% 0.19/0.39  % SZS status Unsatisfiable
% 0.19/0.39  
% 0.19/0.39  % SZS output start Proof
% 0.19/0.39  Axiom 1 (commutativity_of_add): add(X, Y) = add(Y, X).
% 0.19/0.39  Axiom 2 (multiplicative_id1): multiply(X, multiplicative_identity) = X.
% 0.19/0.39  Axiom 3 (multiplicative_id2): multiply(multiplicative_identity, X) = X.
% 0.19/0.39  Axiom 4 (additive_inverse1): add(X, inverse(X)) = multiplicative_identity.
% 0.19/0.39  Axiom 5 (distributivity1): add(multiply(X, Y), Z) = multiply(add(X, Z), add(Y, Z)).
% 0.19/0.39  
% 0.19/0.39  Goal 1 (prove_a_plus_1_is_a): add(a, multiplicative_identity) = multiplicative_identity.
% 0.19/0.39  Proof:
% 0.19/0.39    add(a, multiplicative_identity)
% 0.19/0.39  = { by axiom 2 (multiplicative_id1) R->L }
% 0.19/0.39    multiply(add(a, multiplicative_identity), multiplicative_identity)
% 0.19/0.39  = { by axiom 4 (additive_inverse1) R->L }
% 0.19/0.39    multiply(add(a, multiplicative_identity), add(a, inverse(a)))
% 0.19/0.39  = { by axiom 1 (commutativity_of_add) R->L }
% 0.19/0.39    multiply(add(a, multiplicative_identity), add(inverse(a), a))
% 0.19/0.39  = { by axiom 1 (commutativity_of_add) }
% 0.19/0.39    multiply(add(multiplicative_identity, a), add(inverse(a), a))
% 0.19/0.39  = { by axiom 5 (distributivity1) R->L }
% 0.19/0.39    add(multiply(multiplicative_identity, inverse(a)), a)
% 0.19/0.39  = { by axiom 3 (multiplicative_id2) }
% 0.19/0.39    add(inverse(a), a)
% 0.19/0.39  = { by axiom 1 (commutativity_of_add) }
% 0.19/0.39    add(a, inverse(a))
% 0.19/0.39  = { by axiom 4 (additive_inverse1) }
% 0.19/0.39    multiplicative_identity
% 0.19/0.39  % SZS output end Proof
% 0.19/0.39  
% 0.19/0.39  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------