%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : REL050-4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:33:35 PM UTC 2026
% Result : Unsatisfiable 0.59s 0.56s
% Output : Proof 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL050-4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 23:02:17 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.56 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.59/0.56
% 0.59/0.56 % SZS status Unsatisfiable
% 0.59/0.56
% 0.59/0.60 % SZS output start Proof
% 0.59/0.60 Axiom 1 (composition_identity_6): composition(X, one) = X.
% 0.59/0.60 Axiom 2 (maddux1_join_commutativity_1): join(X, Y) = join(Y, X).
% 0.59/0.60 Axiom 3 (def_top_12): top = join(X, complement(X)).
% 0.59/0.60 Axiom 4 (def_zero_13): zero = meet(X, complement(X)).
% 0.59/0.60 Axiom 5 (converse_idempotence_8): converse(converse(X)) = X.
% 0.59/0.60 Axiom 6 (maddux4_definiton_of_meet_4): meet(X, Y) = complement(join(complement(X), complement(Y))).
% 0.59/0.60 Axiom 7 (converse_multiplicativity_10): converse(composition(X, Y)) = composition(converse(Y), converse(X)).
% 0.59/0.60 Axiom 8 (composition_associativity_5): composition(X, composition(Y, Z)) = composition(composition(X, Y), Z).
% 0.59/0.60 Axiom 9 (converse_additivity_9): converse(join(X, Y)) = join(converse(X), converse(Y)).
% 0.59/0.60 Axiom 10 (maddux2_join_associativity_2): join(X, join(Y, Z)) = join(join(X, Y), Z).
% 0.59/0.60 Axiom 11 (composition_distributivity_7): composition(join(X, Y), Z) = join(composition(X, Z), composition(Y, Z)).
% 0.59/0.60 Axiom 12 (maddux3_a_kind_of_de_Morgan_3): X = join(complement(join(complement(X), complement(Y))), complement(join(complement(X), Y))).
% 0.59/0.60 Axiom 13 (converse_cancellativity_11): join(composition(converse(X), complement(composition(X, Y))), complement(Y)) = complement(Y).
% 0.59/0.60
% 0.59/0.60 Lemma 14: complement(top) = zero.
% 0.59/0.60 Proof:
% 0.59/0.60 complement(top)
% 0.59/0.60 = { by axiom 3 (def_top_12) }
% 0.59/0.60 complement(join(complement(X), complement(complement(X))))
% 0.59/0.60 = { by axiom 6 (maddux4_definiton_of_meet_4) R->L }
% 0.59/0.60 meet(X, complement(X))
% 0.59/0.60 = { by axiom 4 (def_zero_13) R->L }
% 0.59/0.60 zero
% 0.59/0.60
% 0.59/0.60 Lemma 15: join(X, join(Y, complement(X))) = join(Y, top).
% 0.59/0.60 Proof:
% 0.59/0.60 join(X, join(Y, complement(X)))
% 0.59/0.60 = { by axiom 2 (maddux1_join_commutativity_1) R->L }
% 0.59/0.60 join(X, join(complement(X), Y))
% 0.59/0.60 = { by axiom 10 (maddux2_join_associativity_2) }
% 0.59/0.60 join(join(X, complement(X)), Y)
% 0.59/0.60 = { by axiom 3 (def_top_12) R->L }
% 0.59/0.60 join(top, Y)
% 0.59/0.60 = { by axiom 2 (maddux1_join_commutativity_1) }
% 0.59/0.60 join(Y, top)
% 0.59/0.60
% 0.59/0.60 Lemma 16: converse(composition(converse(X), Y)) = composition(converse(Y), X).
% 0.59/0.60 Proof:
% 0.59/0.60 converse(composition(converse(X), Y))
% 0.59/0.60 = { by axiom 7 (converse_multiplicativity_10) }
% 0.59/0.60 composition(converse(Y), converse(converse(X)))
% 0.59/0.60 = { by axiom 5 (converse_idempotence_8) }
% 0.59/0.60 composition(converse(Y), X)
% 0.59/0.60
% 0.59/0.60 Lemma 17: composition(converse(one), X) = X.
% 0.59/0.60 Proof:
% 0.59/0.60 composition(converse(one), X)
% 0.59/0.60 = { by lemma 16 R->L }
% 0.59/0.60 converse(composition(converse(X), one))
% 0.59/0.60 = { by axiom 1 (composition_identity_6) }
% 0.59/0.60 converse(converse(X))
% 0.59/0.60 = { by axiom 5 (converse_idempotence_8) }
% 0.59/0.60 X
% 0.59/0.60
% 0.59/0.60 Lemma 18: composition(one, X) = X.
% 0.59/0.60 Proof:
% 0.59/0.60 composition(one, X)
% 0.59/0.60 = { by lemma 17 R->L }
% 0.59/0.60 composition(converse(one), composition(one, X))
% 0.59/0.60 = { by axiom 8 (composition_associativity_5) }
% 0.59/0.60 composition(composition(converse(one), one), X)
% 0.59/0.60 = { by axiom 1 (composition_identity_6) }
% 0.59/0.60 composition(converse(one), X)
% 0.59/0.60 = { by lemma 17 }
% 0.59/0.60 X
% 0.59/0.60
% 0.59/0.60 Lemma 19: join(complement(X), composition(converse(Y), complement(composition(Y, X)))) = complement(X).
% 0.59/0.60 Proof:
% 0.59/0.60 join(complement(X), composition(converse(Y), complement(composition(Y, X))))
% 0.59/0.60 = { by axiom 2 (maddux1_join_commutativity_1) R->L }
% 0.59/0.60 join(composition(converse(Y), complement(composition(Y, X))), complement(X))
% 0.59/0.60 = { by axiom 13 (converse_cancellativity_11) }
% 0.59/0.60 complement(X)
% 0.59/0.60
% 0.59/0.60 Lemma 20: join(complement(X), complement(X)) = complement(X).
% 0.59/0.60 Proof:
% 0.59/0.60 join(complement(X), complement(X))
% 0.59/0.60 = { by lemma 17 R->L }
% 0.59/0.60 join(complement(X), composition(converse(one), complement(X)))
% 0.59/0.60 = { by lemma 18 R->L }
% 0.59/0.60 join(complement(X), composition(converse(one), complement(composition(one, X))))
% 0.59/0.60 = { by lemma 19 }
% 0.59/0.60 complement(X)
% 0.59/0.60
% 0.59/0.60 Lemma 21: join(top, complement(X)) = top.
% 0.59/0.60 Proof:
% 0.59/0.60 join(top, complement(X))
% 0.59/0.60 = { by axiom 2 (maddux1_join_commutativity_1) R->L }
% 0.59/0.60 join(complement(X), top)
% 0.59/0.60 = { by lemma 15 R->L }
% 0.59/0.60 join(X, join(complement(X), complement(X)))
% 0.59/0.60 = { by lemma 20 }
% 0.59/0.60 join(X, complement(X))
% 0.59/0.60 = { by axiom 3 (def_top_12) R->L }
% 0.59/0.60 top
% 0.59/0.60
% 0.59/0.60 Lemma 22: join(X, top) = top.
% 0.59/0.60 Proof:
% 0.59/0.61 join(X, top)
% 0.59/0.61 = { by lemma 21 R->L }
% 0.59/0.61 join(X, join(top, complement(X)))
% 0.59/0.61 = { by lemma 15 }
% 0.59/0.61 join(top, top)
% 0.59/0.61 = { by axiom 3 (def_top_12) }
% 0.59/0.61 join(top, join(zero, complement(zero)))
% 0.59/0.61 = { by axiom 10 (maddux2_join_associativity_2) }
% 0.59/0.61 join(join(top, zero), complement(zero))
% 0.59/0.61 = { by lemma 14 R->L }
% 0.59/0.61 join(join(top, complement(top)), complement(zero))
% 0.59/0.61 = { by axiom 3 (def_top_12) R->L }
% 0.59/0.61 join(top, complement(zero))
% 0.59/0.61 = { by lemma 21 }
% 0.59/0.61 top
% 0.59/0.61
% 0.59/0.61 Lemma 23: join(meet(X, Y), complement(join(complement(X), Y))) = X.
% 0.59/0.61 Proof:
% 0.59/0.61 join(meet(X, Y), complement(join(complement(X), Y)))
% 0.59/0.61 = { by axiom 6 (maddux4_definiton_of_meet_4) }
% 0.59/0.61 join(complement(join(complement(X), complement(Y))), complement(join(complement(X), Y)))
% 0.59/0.61 = { by axiom 12 (maddux3_a_kind_of_de_Morgan_3) R->L }
% 0.59/0.61 X
% 0.59/0.61
% 0.59/0.61 Lemma 24: join(zero, meet(X, top)) = X.
% 0.59/0.61 Proof:
% 0.59/0.61 join(zero, meet(X, top))
% 0.59/0.61 = { by axiom 2 (maddux1_join_commutativity_1) R->L }
% 0.59/0.61 join(meet(X, top), zero)
% 0.59/0.61 = { by lemma 14 R->L }
% 0.59/0.61 join(meet(X, top), complement(top))
% 0.59/0.61 = { by lemma 22 R->L }
% 0.59/0.61 join(meet(X, top), complement(join(complement(X), top)))
% 0.59/0.61 = { by lemma 23 }
% 0.59/0.61 X
% 0.59/0.61
% 0.59/0.61 Lemma 25: complement(join(zero, complement(X))) = meet(X, top).
% 0.59/0.61 Proof:
% 0.59/0.61 complement(join(zero, complement(X)))
% 0.59/0.61 = { by lemma 14 R->L }
% 0.59/0.61 complement(join(complement(top), complement(X)))
% 0.59/0.61 = { by axiom 2 (maddux1_join_commutativity_1) }
% 0.59/0.61 complement(join(complement(X), complement(top)))
% 0.59/0.61 = { by axiom 6 (maddux4_definiton_of_meet_4) R->L }
% 0.59/0.61 meet(X, top)
% 0.59/0.61
% 0.59/0.61 Lemma 26: join(zero, complement(complement(X))) = X.
% 0.59/0.61 Proof:
% 0.59/0.61 join(zero, complement(complement(X)))
% 0.59/0.61 = { by axiom 4 (def_zero_13) }
% 0.59/0.61 join(meet(X, complement(X)), complement(complement(X)))
% 0.59/0.61 = { by lemma 20 R->L }
% 0.59/0.61 join(meet(X, complement(X)), complement(join(complement(X), complement(X))))
% 0.59/0.61 = { by lemma 23 }
% 0.59/0.61 X
% 0.59/0.61
% 0.59/0.61 Lemma 27: join(zero, complement(X)) = complement(X).
% 0.59/0.61 Proof:
% 0.59/0.61 join(zero, complement(X))
% 0.59/0.61 = { by lemma 26 R->L }
% 0.59/0.61 join(zero, complement(join(zero, complement(complement(X)))))
% 0.59/0.61 = { by lemma 25 }
% 0.59/0.61 join(zero, meet(complement(X), top))
% 0.59/0.61 = { by lemma 24 }
% 0.59/0.61 complement(X)
% 0.59/0.61
% 0.59/0.61 Lemma 28: join(X, zero) = X.
% 0.59/0.61 Proof:
% 0.59/0.61 join(X, zero)
% 0.59/0.61 = { by lemma 14 R->L }
% 0.59/0.61 join(X, complement(top))
% 0.59/0.61 = { by lemma 22 R->L }
% 0.59/0.61 join(X, complement(join(complement(X), top)))
% 0.59/0.61 = { by lemma 24 R->L }
% 0.59/0.61 join(join(zero, meet(X, top)), complement(join(complement(X), top)))
% 0.59/0.61 = { by lemma 25 R->L }
% 0.59/0.61 join(join(zero, complement(join(zero, complement(X)))), complement(join(complement(X), top)))
% 0.59/0.61 = { by lemma 27 }
% 0.59/0.61 join(complement(join(zero, complement(X))), complement(join(complement(X), top)))
% 0.59/0.61 = { by lemma 25 }
% 0.59/0.61 join(meet(X, top), complement(join(complement(X), top)))
% 0.59/0.61 = { by lemma 23 }
% 0.59/0.61 X
% 0.59/0.61
% 0.59/0.61 Lemma 29: join(top, X) = top.
% 0.59/0.61 Proof:
% 0.59/0.61 join(top, X)
% 0.59/0.61 = { by axiom 2 (maddux1_join_commutativity_1) R->L }
% 0.59/0.61 join(X, top)
% 0.59/0.61 = { by lemma 22 }
% 0.59/0.61 top
% 0.59/0.61
% 0.59/0.61 Lemma 30: join(zero, X) = X.
% 0.59/0.61 Proof:
% 0.59/0.61 join(zero, X)
% 0.59/0.61 = { by lemma 26 R->L }
% 0.59/0.61 join(zero, join(zero, complement(complement(X))))
% 0.59/0.61 = { by lemma 27 }
% 0.59/0.61 join(zero, complement(complement(X)))
% 0.59/0.61 = { by lemma 26 }
% 0.59/0.61 X
% 0.59/0.61
% 0.59/0.61 Lemma 31: converse(join(converse(X), Y)) = join(X, converse(Y)).
% 0.59/0.61 Proof:
% 0.59/0.61 converse(join(converse(X), Y))
% 0.59/0.61 = { by axiom 9 (converse_additivity_9) }
% 0.59/0.61 join(converse(converse(X)), converse(Y))
% 0.59/0.61 = { by axiom 5 (converse_idempotence_8) }
% 0.59/0.61 join(X, converse(Y))
% 0.59/0.61
% 0.59/0.61 Lemma 32: join(X, converse(top)) = converse(top).
% 0.59/0.61 Proof:
% 0.59/0.61 join(X, converse(top))
% 0.59/0.61 = { by lemma 31 R->L }
% 0.59/0.61 converse(join(converse(X), top))
% 0.59/0.61 = { by lemma 22 }
% 0.59/0.61 converse(top)
% 0.59/0.61
% 0.59/0.61 Lemma 33: converse(composition(X, top)) = composition(top, converse(X)).
% 0.59/0.61 Proof:
% 0.59/0.61 converse(composition(X, top))
% 0.59/0.61 = { by axiom 7 (converse_multiplicativity_10) }
% 0.59/0.61 composition(converse(top), converse(X))
% 0.59/0.61 = { by lemma 32 R->L }
% 0.59/0.61 composition(join(complement(Y), converse(top)), converse(X))
% 0.59/0.61 = { by lemma 32 R->L }
% 0.59/0.61 composition(join(complement(Y), join(Y, converse(top))), converse(X))
% 0.59/0.61 = { by axiom 10 (maddux2_join_associativity_2) }
% 0.59/0.61 composition(join(join(complement(Y), Y), converse(top)), converse(X))
% 0.59/0.61 = { by axiom 2 (maddux1_join_commutativity_1) R->L }
% 0.59/0.61 composition(join(join(Y, complement(Y)), converse(top)), converse(X))
% 0.59/0.61 = { by axiom 3 (def_top_12) R->L }
% 0.59/0.61 composition(join(top, converse(top)), converse(X))
% 0.59/0.61 = { by axiom 2 (maddux1_join_commutativity_1) }
% 0.59/0.61 composition(join(converse(top), top), converse(X))
% 0.59/0.61 = { by lemma 22 }
% 0.59/0.61 composition(top, converse(X))
% 0.59/0.61
% 0.59/0.61 Lemma 34: join(X, composition(Y, X)) = composition(join(Y, one), X).
% 0.59/0.61 Proof:
% 0.59/0.61 join(X, composition(Y, X))
% 0.59/0.61 = { by lemma 18 R->L }
% 0.59/0.61 join(composition(one, X), composition(Y, X))
% 0.59/0.61 = { by axiom 11 (composition_distributivity_7) R->L }
% 0.59/0.61 composition(join(one, Y), X)
% 0.59/0.61 = { by axiom 2 (maddux1_join_commutativity_1) }
% 0.59/0.61 composition(join(Y, one), X)
% 0.59/0.61
% 0.59/0.61 Goal 1 (goals_17): tuple(join(complement(composition(sk1, top)), composition(complement(composition(sk1, top)), top)), join(composition(complement(composition(sk1, top)), top), complement(composition(sk1, top)))) = tuple(composition(complement(composition(sk1, top)), top), complement(composition(sk1, top))).
% 0.59/0.61 Proof:
% 0.59/0.61 tuple(join(complement(composition(sk1, top)), composition(complement(composition(sk1, top)), top)), join(composition(complement(composition(sk1, top)), top), complement(composition(sk1, top))))
% 0.59/0.61 = { by axiom 2 (maddux1_join_commutativity_1) }
% 0.59/0.61 tuple(join(complement(composition(sk1, top)), composition(complement(composition(sk1, top)), top)), join(complement(composition(sk1, top)), composition(complement(composition(sk1, top)), top)))
% 0.59/0.61 = { by axiom 5 (converse_idempotence_8) R->L }
% 0.59/0.61 tuple(converse(converse(join(complement(composition(sk1, top)), composition(complement(composition(sk1, top)), top)))), join(complement(composition(sk1, top)), composition(complement(composition(sk1, top)), top)))
% 0.59/0.61 = { by axiom 9 (converse_additivity_9) }
% 0.59/0.61 tuple(converse(join(converse(complement(composition(sk1, top))), converse(composition(complement(composition(sk1, top)), top)))), join(complement(composition(sk1, top)), composition(complement(composition(sk1, top)), top)))
% 0.59/0.61 = { by lemma 33 }
% 0.59/0.61 tuple(converse(join(converse(complement(composition(sk1, top))), composition(top, converse(complement(composition(sk1, top)))))), join(complement(composition(sk1, top)), composition(complement(composition(sk1, top)), top)))
% 0.59/0.61 = { by lemma 34 }
% 0.59/0.61 tuple(converse(composition(join(top, one), converse(complement(composition(sk1, top))))), join(complement(composition(sk1, top)), composition(complement(composition(sk1, top)), top)))
% 0.59/0.61 = { by lemma 29 }
% 0.59/0.61 tuple(converse(composition(top, converse(complement(composition(sk1, top))))), join(complement(composition(sk1, top)), composition(complement(composition(sk1, top)), top)))
% 0.59/0.61 = { by lemma 33 R->L }
% 0.59/0.61 tuple(converse(converse(composition(complement(composition(sk1, top)), top))), join(complement(composition(sk1, top)), composition(complement(composition(sk1, top)), top)))
% 0.59/0.61 = { by axiom 5 (converse_idempotence_8) }
% 0.59/0.61 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(complement(composition(sk1, top)), top)))
% 0.59/0.61 = { by axiom 3 (def_top_12) }
% 0.59/0.61 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(complement(composition(sk1, top)), join(zero, complement(zero)))))
% 0.59/0.61 = { by lemma 27 }
% 0.59/0.61 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(complement(composition(sk1, top)), complement(zero))))
% 0.59/0.61 = { by axiom 5 (converse_idempotence_8) R->L }
% 0.59/0.61 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(zero))))
% 0.59/0.61 = { by lemma 28 R->L }
% 0.59/0.61 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(join(zero, zero)))))
% 0.59/0.61 = { by axiom 5 (converse_idempotence_8) R->L }
% 0.59/0.61 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(join(zero, converse(converse(zero)))))))
% 0.59/0.61 = { by lemma 28 R->L }
% 0.59/0.61 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(join(zero, converse(join(converse(zero), zero)))))))
% 0.59/0.62 = { by lemma 31 }
% 0.59/0.62 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(join(zero, join(zero, converse(zero)))))))
% 0.59/0.62 = { by axiom 2 (maddux1_join_commutativity_1) R->L }
% 0.59/0.62 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(join(zero, join(converse(zero), zero))))))
% 0.59/0.62 = { by lemma 30 }
% 0.59/0.62 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(join(converse(zero), zero)))))
% 0.59/0.62 = { by lemma 28 }
% 0.59/0.62 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(converse(zero)))))
% 0.59/0.62 = { by lemma 14 R->L }
% 0.59/0.62 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(converse(complement(top))))))
% 0.59/0.62 = { by lemma 19 R->L }
% 0.59/0.62 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(converse(join(complement(top), composition(converse(composition(sk1, top)), complement(composition(composition(sk1, top), top)))))))))
% 0.59/0.62 = { by axiom 8 (composition_associativity_5) R->L }
% 0.59/0.62 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(converse(join(complement(top), composition(converse(composition(sk1, top)), complement(composition(sk1, composition(top, top))))))))))
% 0.59/0.62 = { by lemma 29 R->L }
% 0.59/0.62 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(converse(join(complement(top), composition(converse(composition(sk1, top)), complement(composition(sk1, composition(join(top, one), top))))))))))
% 0.59/0.62 = { by lemma 34 R->L }
% 0.59/0.62 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(converse(join(complement(top), composition(converse(composition(sk1, top)), complement(composition(sk1, join(top, composition(top, top)))))))))))
% 0.59/0.62 = { by lemma 29 }
% 0.59/0.62 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(converse(join(complement(top), composition(converse(composition(sk1, top)), complement(composition(sk1, top)))))))))
% 0.59/0.62 = { by lemma 14 }
% 0.59/0.62 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(converse(join(zero, composition(converse(composition(sk1, top)), complement(composition(sk1, top)))))))))
% 0.59/0.62 = { by lemma 30 }
% 0.59/0.62 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(converse(composition(converse(composition(sk1, top)), complement(composition(sk1, top))))))))
% 0.59/0.62 = { by lemma 16 }
% 0.59/0.62 tuple(composition(complement(composition(sk1, top)), top), join(complement(composition(sk1, top)), composition(converse(converse(complement(composition(sk1, top)))), complement(composition(converse(complement(composition(sk1, top))), composition(sk1, top))))))
% 0.59/0.62 = { by lemma 19 }
% 0.59/0.62 tuple(composition(complement(composition(sk1, top)), top), complement(composition(sk1, top)))
% 0.59/0.62 % SZS output end Proof
% 0.59/0.62
% 0.59/0.62 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------