%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : REL008-3 : 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 : n029.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 13:43:48 EDT 2023

% Result   : Unsatisfiable 0.22s 0.68s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : REL008-3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.18/0.36  % Computer : n029.cluster.edu
% 0.18/0.36  % Model    : x86_64 x86_64
% 0.18/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36  % Memory   : 8042.1875MB
% 0.18/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit : 300
% 0.18/0.36  % WCLimit  : 300
% 0.18/0.36  % DateTime : Fri Aug 25 20:19:09 EDT 2023
% 0.18/0.36  % CPUTime  : 
% 0.22/0.68  Command-line arguments: --no-flatten-goal
% 0.22/0.68  
% 0.22/0.68  % SZS status Unsatisfiable
% 0.22/0.68  
% 0.22/0.69  % SZS output start Proof
% 0.22/0.69  Axiom 1 (converse_idempotence_8): converse(converse(X)) = X.
% 0.22/0.69  Axiom 2 (maddux1_join_commutativity_1): join(X, Y) = join(Y, X).
% 0.22/0.69  Axiom 3 (converse_additivity_9): converse(join(X, Y)) = join(converse(X), converse(Y)).
% 0.22/0.69  Axiom 4 (converse_multiplicativity_10): converse(composition(X, Y)) = composition(converse(Y), converse(X)).
% 0.22/0.69  Axiom 5 (composition_distributivity_7): composition(join(X, Y), Z) = join(composition(X, Z), composition(Y, Z)).
% 0.22/0.69  
% 0.22/0.69  Goal 1 (goals_17): composition(sk1, join(sk2, sk3)) = join(composition(sk1, sk2), composition(sk1, sk3)).
% 0.22/0.69  Proof:
% 0.22/0.69    composition(sk1, join(sk2, sk3))
% 0.22/0.69  = { by axiom 1 (converse_idempotence_8) R->L }
% 0.22/0.69    composition(sk1, join(sk2, converse(converse(sk3))))
% 0.22/0.69  = { by axiom 1 (converse_idempotence_8) R->L }
% 0.22/0.69    converse(converse(composition(sk1, join(sk2, converse(converse(sk3))))))
% 0.22/0.69  = { by axiom 4 (converse_multiplicativity_10) }
% 0.22/0.69    converse(composition(converse(join(sk2, converse(converse(sk3)))), converse(sk1)))
% 0.22/0.69  = { by axiom 2 (maddux1_join_commutativity_1) R->L }
% 0.22/0.69    converse(composition(converse(join(converse(converse(sk3)), sk2)), converse(sk1)))
% 0.22/0.69  = { by axiom 3 (converse_additivity_9) }
% 0.22/0.69    converse(composition(join(converse(converse(converse(sk3))), converse(sk2)), converse(sk1)))
% 0.22/0.69  = { by axiom 1 (converse_idempotence_8) }
% 0.22/0.69    converse(composition(join(converse(sk3), converse(sk2)), converse(sk1)))
% 0.22/0.69  = { by axiom 2 (maddux1_join_commutativity_1) }
% 0.22/0.69    converse(composition(join(converse(sk2), converse(sk3)), converse(sk1)))
% 0.22/0.69  = { by axiom 5 (composition_distributivity_7) }
% 0.22/0.69    converse(join(composition(converse(sk2), converse(sk1)), composition(converse(sk3), converse(sk1))))
% 0.22/0.69  = { by axiom 4 (converse_multiplicativity_10) R->L }
% 0.22/0.69    converse(join(converse(composition(sk1, sk2)), composition(converse(sk3), converse(sk1))))
% 0.22/0.69  = { by axiom 2 (maddux1_join_commutativity_1) R->L }
% 0.22/0.69    converse(join(composition(converse(sk3), converse(sk1)), converse(composition(sk1, sk2))))
% 0.22/0.69  = { by axiom 1 (converse_idempotence_8) R->L }
% 0.22/0.69    converse(join(composition(converse(converse(converse(sk3))), converse(sk1)), converse(composition(sk1, sk2))))
% 0.22/0.69  = { by axiom 4 (converse_multiplicativity_10) R->L }
% 0.22/0.69    converse(join(converse(composition(sk1, converse(converse(sk3)))), converse(composition(sk1, sk2))))
% 0.22/0.69  = { by axiom 3 (converse_additivity_9) R->L }
% 0.22/0.69    converse(converse(join(composition(sk1, converse(converse(sk3))), composition(sk1, sk2))))
% 0.22/0.69  = { by axiom 2 (maddux1_join_commutativity_1) }
% 0.22/0.69    converse(converse(join(composition(sk1, sk2), composition(sk1, converse(converse(sk3))))))
% 0.22/0.69  = { by axiom 1 (converse_idempotence_8) }
% 0.22/0.69    join(composition(sk1, sk2), composition(sk1, converse(converse(sk3))))
% 0.22/0.69  = { by axiom 1 (converse_idempotence_8) }
% 0.22/0.69    join(composition(sk1, sk2), composition(sk1, sk3))
% 0.22/0.69  % SZS output end Proof
% 0.22/0.69  
% 0.22/0.69  RESULT: Unsatisfiable (the axioms are contradictory).
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