%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : BOO016-2 : TPTP v8.1.2. Released v1.0.0.
% 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 : Wed Aug 30 18:11:26 EDT 2023

% Result   : Unsatisfiable 0.21s 0.41s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : BOO016-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sun Aug 27 07:49:39 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.21/0.41  Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.21/0.41  
% 0.21/0.41  % SZS status Unsatisfiable
% 0.21/0.41  
% 0.21/0.41  % SZS output start Proof
% 0.21/0.41  Axiom 1 (commutativity_of_add): add(X, Y) = add(Y, X).
% 0.21/0.41  Axiom 2 (commutativity_of_multiply): multiply(X, Y) = multiply(Y, X).
% 0.21/0.41  Axiom 3 (multiplicative_id1): multiply(X, multiplicative_identity) = X.
% 0.21/0.41  Axiom 4 (multiplicative_id2): multiply(multiplicative_identity, X) = X.
% 0.21/0.41  Axiom 5 (x_times_y): multiply(x, y) = z.
% 0.21/0.41  Axiom 6 (additive_inverse1): add(X, inverse(X)) = multiplicative_identity.
% 0.21/0.41  Axiom 7 (distributivity4): multiply(X, add(Y, Z)) = add(multiply(X, Y), multiply(X, Z)).
% 0.21/0.41  Axiom 8 (distributivity2): add(X, multiply(Y, Z)) = multiply(add(X, Y), add(X, Z)).
% 0.21/0.41  
% 0.21/0.41  Goal 1 (prove_sum): add(x, z) = x.
% 0.21/0.41  Proof:
% 0.21/0.41    add(x, z)
% 0.21/0.41  = { by axiom 5 (x_times_y) R->L }
% 0.21/0.41    add(x, multiply(x, y))
% 0.21/0.41  = { by axiom 3 (multiplicative_id1) R->L }
% 0.21/0.41    add(multiply(x, multiplicative_identity), multiply(x, y))
% 0.21/0.41  = { by axiom 7 (distributivity4) R->L }
% 0.21/0.41    multiply(x, add(multiplicative_identity, y))
% 0.21/0.41  = { by axiom 1 (commutativity_of_add) R->L }
% 0.21/0.41    multiply(x, add(y, multiplicative_identity))
% 0.21/0.41  = { by axiom 4 (multiplicative_id2) R->L }
% 0.21/0.41    multiply(x, multiply(multiplicative_identity, add(y, multiplicative_identity)))
% 0.21/0.41  = { by axiom 6 (additive_inverse1) R->L }
% 0.21/0.41    multiply(x, multiply(add(y, inverse(y)), add(y, multiplicative_identity)))
% 0.21/0.41  = { by axiom 8 (distributivity2) R->L }
% 0.21/0.41    multiply(x, add(y, multiply(inverse(y), multiplicative_identity)))
% 0.21/0.41  = { by axiom 2 (commutativity_of_multiply) }
% 0.21/0.41    multiply(x, add(y, multiply(multiplicative_identity, inverse(y))))
% 0.21/0.41  = { by axiom 4 (multiplicative_id2) }
% 0.21/0.41    multiply(x, add(y, inverse(y)))
% 0.21/0.41  = { by axiom 6 (additive_inverse1) }
% 0.21/0.41    multiply(x, multiplicative_identity)
% 0.21/0.41  = { by axiom 3 (multiplicative_id1) }
% 0.21/0.41    x
% 0.21/0.41  % SZS output end Proof
% 0.21/0.41  
% 0.21/0.41  RESULT: Unsatisfiable (the axioms are contradictory).
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