TSTP Solution File: LAT022-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : LAT022-1 : TPTP v8.1.2. Released v2.2.0.
% 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 : n015.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 06:27:09 EDT 2023
% Result : Unsatisfiable 3.52s 0.87s
% Output : Proof 3.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT022-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.36 % Computer : n015.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 : Thu Aug 24 05:16:35 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.52/0.87 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 3.52/0.87
% 3.52/0.87 % SZS status Unsatisfiable
% 3.52/0.87
% 3.52/0.89 % SZS output start Proof
% 3.52/0.89 Axiom 1 (idempotence_of_meet): meet(X, X) = X.
% 3.52/0.89 Axiom 2 (commutativity_of_meet): meet(X, Y) = meet(Y, X).
% 3.52/0.89 Axiom 3 (idempotence_of_join): join(X, X) = X.
% 3.52/0.89 Axiom 4 (commutativity_of_join): join(X, Y) = join(Y, X).
% 3.52/0.89 Axiom 5 (associativity_of_meet): meet(meet(X, Y), Z) = meet(X, meet(Y, Z)).
% 3.52/0.89 Axiom 6 (associativity_of_join): join(join(X, Y), Z) = join(X, join(Y, Z)).
% 3.52/0.89 Axiom 7 (quasi_lattice2): meet(join(X, meet(Y, Z)), join(X, Y)) = join(X, meet(Y, Z)).
% 3.52/0.89 Axiom 8 (self_dual_modularity): join(meet(X, Y), meet(Z, join(X, Y))) = meet(join(X, Y), join(Z, meet(X, Y))).
% 3.52/0.89 Axiom 9 (quasi_lattice1): join(meet(X, join(Y, Z)), meet(X, Y)) = meet(X, join(Y, Z)).
% 3.52/0.89
% 3.52/0.89 Lemma 10: meet(X, meet(X, Y)) = meet(X, Y).
% 3.52/0.89 Proof:
% 3.52/0.89 meet(X, meet(X, Y))
% 3.52/0.89 = { by axiom 5 (associativity_of_meet) R->L }
% 3.52/0.89 meet(meet(X, X), Y)
% 3.52/0.89 = { by axiom 1 (idempotence_of_meet) }
% 3.52/0.89 meet(X, Y)
% 3.52/0.89
% 3.52/0.89 Lemma 11: meet(Y, meet(X, Z)) = meet(X, meet(Y, Z)).
% 3.52/0.89 Proof:
% 3.52/0.89 meet(Y, meet(X, Z))
% 3.52/0.89 = { by axiom 2 (commutativity_of_meet) R->L }
% 3.52/0.89 meet(meet(X, Z), Y)
% 3.52/0.89 = { by axiom 5 (associativity_of_meet) }
% 3.52/0.89 meet(X, meet(Z, Y))
% 3.52/0.89 = { by axiom 2 (commutativity_of_meet) }
% 3.52/0.89 meet(X, meet(Y, Z))
% 3.52/0.89
% 3.52/0.89 Lemma 12: meet(Z, meet(X, Y)) = meet(X, meet(Y, Z)).
% 3.52/0.89 Proof:
% 3.52/0.89 meet(Z, meet(X, Y))
% 3.52/0.89 = { by lemma 11 }
% 3.52/0.89 meet(X, meet(Z, Y))
% 3.52/0.89 = { by axiom 2 (commutativity_of_meet) }
% 3.52/0.89 meet(X, meet(Y, Z))
% 3.52/0.89
% 3.52/0.89 Lemma 13: meet(meet(X, Y), Z) = meet(Y, meet(X, Z)).
% 3.52/0.89 Proof:
% 3.52/0.89 meet(meet(X, Y), Z)
% 3.52/0.89 = { by axiom 2 (commutativity_of_meet) R->L }
% 3.52/0.89 meet(Z, meet(X, Y))
% 3.52/0.89 = { by lemma 12 }
% 3.52/0.89 meet(X, meet(Y, Z))
% 3.52/0.89 = { by lemma 11 R->L }
% 3.52/0.89 meet(Y, meet(X, Z))
% 3.52/0.89
% 3.52/0.89 Lemma 14: join(X, meet(X, Y)) = meet(X, join(X, Y)).
% 3.52/0.89 Proof:
% 3.52/0.89 join(X, meet(X, Y))
% 3.52/0.89 = { by axiom 2 (commutativity_of_meet) R->L }
% 3.52/0.89 join(X, meet(Y, X))
% 3.52/0.89 = { by axiom 3 (idempotence_of_join) R->L }
% 3.52/0.89 join(X, meet(Y, join(X, X)))
% 3.52/0.89 = { by axiom 1 (idempotence_of_meet) R->L }
% 3.52/0.89 join(meet(X, X), meet(Y, join(X, X)))
% 3.52/0.89 = { by axiom 8 (self_dual_modularity) }
% 3.52/0.89 meet(join(X, X), join(Y, meet(X, X)))
% 3.52/0.89 = { by axiom 3 (idempotence_of_join) }
% 3.52/0.89 meet(X, join(Y, meet(X, X)))
% 3.52/0.89 = { by axiom 1 (idempotence_of_meet) }
% 3.52/0.89 meet(X, join(Y, X))
% 3.52/0.89 = { by axiom 4 (commutativity_of_join) }
% 3.52/0.89 meet(X, join(X, Y))
% 3.52/0.89
% 3.52/0.89 Lemma 15: join(X, meet(Y, X)) = meet(X, join(X, Y)).
% 3.52/0.89 Proof:
% 3.52/0.89 join(X, meet(Y, X))
% 3.52/0.89 = { by axiom 2 (commutativity_of_meet) R->L }
% 3.52/0.89 join(X, meet(X, Y))
% 3.52/0.89 = { by lemma 14 }
% 3.52/0.89 meet(X, join(X, Y))
% 3.52/0.89
% 3.52/0.89 Lemma 16: join(X, join(Y, X)) = join(Y, X).
% 3.52/0.89 Proof:
% 3.52/0.89 join(X, join(Y, X))
% 3.52/0.89 = { by axiom 4 (commutativity_of_join) R->L }
% 3.52/0.89 join(X, join(X, Y))
% 3.52/0.89 = { by axiom 6 (associativity_of_join) R->L }
% 3.52/0.89 join(join(X, X), Y)
% 3.52/0.89 = { by axiom 3 (idempotence_of_join) }
% 3.52/0.89 join(X, Y)
% 3.52/0.89 = { by axiom 4 (commutativity_of_join) }
% 3.52/0.89 join(Y, X)
% 3.52/0.89
% 3.52/0.89 Lemma 17: meet(X, meet(Y, meet(X, Z))) = meet(Y, meet(X, Z)).
% 3.52/0.89 Proof:
% 3.52/0.89 meet(X, meet(Y, meet(X, Z)))
% 3.52/0.89 = { by axiom 2 (commutativity_of_meet) R->L }
% 3.52/0.89 meet(X, meet(meet(X, Z), Y))
% 3.52/0.89 = { by axiom 5 (associativity_of_meet) R->L }
% 3.52/0.89 meet(meet(X, meet(X, Z)), Y)
% 3.52/0.89 = { by lemma 10 }
% 3.52/0.89 meet(meet(X, Z), Y)
% 3.52/0.89 = { by axiom 2 (commutativity_of_meet) }
% 3.52/0.89 meet(Y, meet(X, Z))
% 3.52/0.89
% 3.52/0.89 Lemma 18: meet(Y, join(X, meet(X, Z))) = meet(X, meet(Y, join(X, Z))).
% 3.52/0.89 Proof:
% 3.52/0.89 meet(Y, join(X, meet(X, Z)))
% 3.52/0.89 = { by axiom 2 (commutativity_of_meet) R->L }
% 3.52/0.89 meet(join(X, meet(X, Z)), Y)
% 3.52/0.89 = { by lemma 14 }
% 3.52/0.89 meet(meet(X, join(X, Z)), Y)
% 3.52/0.89 = { by axiom 5 (associativity_of_meet) }
% 3.52/0.89 meet(X, meet(join(X, Z), Y))
% 3.52/0.89 = { by axiom 2 (commutativity_of_meet) }
% 3.52/0.89 meet(X, meet(Y, join(X, Z)))
% 3.52/0.89
% 3.52/0.89 Lemma 19: meet(join(X, Y), join(X, meet(Y, Z))) = join(X, meet(Y, Z)).
% 3.52/0.89 Proof:
% 3.52/0.89 meet(join(X, Y), join(X, meet(Y, Z)))
% 3.52/0.89 = { by axiom 2 (commutativity_of_meet) R->L }
% 3.52/0.89 meet(join(X, meet(Y, Z)), join(X, Y))
% 3.52/0.89 = { by axiom 7 (quasi_lattice2) }
% 3.52/0.89 join(X, meet(Y, Z))
% 3.52/0.89
% 3.52/0.89 Lemma 20: join(meet(X, Y), meet(Y, meet(X, join(Z, meet(X, Y))))) = meet(Y, meet(X, join(Z, meet(X, Y)))).
% 3.52/0.89 Proof:
% 3.52/0.89 join(meet(X, Y), meet(Y, meet(X, join(Z, meet(X, Y)))))
% 3.52/0.89 = { by lemma 13 R->L }
% 3.52/0.89 join(meet(X, Y), meet(meet(X, Y), join(Z, meet(X, Y))))
% 3.52/0.89 = { by lemma 14 }
% 3.52/0.89 meet(meet(X, Y), join(meet(X, Y), join(Z, meet(X, Y))))
% 3.52/0.89 = { by lemma 16 }
% 3.52/0.89 meet(meet(X, Y), join(Z, meet(X, Y)))
% 3.52/0.89 = { by lemma 13 }
% 3.52/0.89 meet(Y, meet(X, join(Z, meet(X, Y))))
% 3.52/0.89
% 3.52/0.89 Lemma 21: join(join(X, meet(Y, Z)), meet(Z, meet(Y, join(X, meet(Y, Z))))) = join(X, meet(Y, Z)).
% 3.52/0.89 Proof:
% 3.52/0.89 join(join(X, meet(Y, Z)), meet(Z, meet(Y, join(X, meet(Y, Z)))))
% 3.52/0.89 = { by lemma 13 R->L }
% 3.52/0.89 join(join(X, meet(Y, Z)), meet(meet(Y, Z), join(X, meet(Y, Z))))
% 3.52/0.89 = { by lemma 15 }
% 3.52/0.89 meet(join(X, meet(Y, Z)), join(join(X, meet(Y, Z)), meet(Y, Z)))
% 3.52/0.89 = { by axiom 4 (commutativity_of_join) }
% 3.52/0.89 meet(join(X, meet(Y, Z)), join(meet(Y, Z), join(X, meet(Y, Z))))
% 3.52/0.89 = { by lemma 16 }
% 3.52/0.89 meet(join(X, meet(Y, Z)), join(X, meet(Y, Z)))
% 3.52/0.89 = { by axiom 1 (idempotence_of_meet) }
% 3.52/0.89 join(X, meet(Y, Z))
% 3.52/0.89
% 3.52/0.89 Lemma 22: meet(meet(X, join(Y, meet(Z, W))), join(W, join(Y, meet(Z, W)))) = meet(X, join(Y, meet(Z, W))).
% 3.52/0.89 Proof:
% 3.52/0.89 meet(meet(X, join(Y, meet(Z, W))), join(W, join(Y, meet(Z, W))))
% 3.52/0.89 = { by axiom 2 (commutativity_of_meet) R->L }
% 3.52/0.89 meet(join(W, join(Y, meet(Z, W))), meet(X, join(Y, meet(Z, W))))
% 3.52/0.89 = { by lemma 12 }
% 3.52/0.89 meet(X, meet(join(Y, meet(Z, W)), join(W, join(Y, meet(Z, W)))))
% 3.52/0.89 = { by axiom 4 (commutativity_of_join) R->L }
% 3.52/0.89 meet(X, meet(join(Y, meet(Z, W)), join(join(Y, meet(Z, W)), W)))
% 3.52/0.89 = { by axiom 2 (commutativity_of_meet) R->L }
% 3.52/0.89 meet(X, meet(join(join(Y, meet(Z, W)), W), join(Y, meet(Z, W))))
% 3.52/0.89 = { by lemma 21 R->L }
% 3.52/0.89 meet(X, meet(join(join(Y, meet(Z, W)), W), join(join(Y, meet(Z, W)), meet(W, meet(Z, join(Y, meet(Z, W)))))))
% 3.52/0.89 = { by lemma 19 }
% 3.52/0.89 meet(X, join(join(Y, meet(Z, W)), meet(W, meet(Z, join(Y, meet(Z, W))))))
% 3.52/0.89 = { by lemma 21 }
% 3.52/0.89 meet(X, join(Y, meet(Z, W)))
% 3.52/0.89
% 3.52/0.89 Lemma 23: join(meet(X, join(Y, meet(X, Z))), meet(X, Z)) = meet(X, join(Y, meet(X, Z))).
% 3.52/0.89 Proof:
% 3.52/0.89 join(meet(X, join(Y, meet(X, Z))), meet(X, Z))
% 3.52/0.90 = { by axiom 1 (idempotence_of_meet) R->L }
% 3.52/0.90 meet(join(meet(X, join(Y, meet(X, Z))), meet(X, Z)), join(meet(X, join(Y, meet(X, Z))), meet(X, Z)))
% 3.52/0.90 = { by axiom 3 (idempotence_of_join) R->L }
% 3.52/0.90 meet(join(meet(X, join(Y, meet(X, Z))), meet(X, Z)), join(meet(X, join(Y, meet(X, Z))), join(meet(X, Z), meet(X, Z))))
% 3.52/0.90 = { by axiom 6 (associativity_of_join) R->L }
% 3.52/0.90 meet(join(meet(X, join(Y, meet(X, Z))), meet(X, Z)), join(join(meet(X, join(Y, meet(X, Z))), meet(X, Z)), meet(X, Z)))
% 3.52/0.90 = { by lemma 15 R->L }
% 3.52/0.90 join(join(meet(X, join(Y, meet(X, Z))), meet(X, Z)), meet(meet(X, Z), join(meet(X, join(Y, meet(X, Z))), meet(X, Z))))
% 3.52/0.90 = { by axiom 4 (commutativity_of_join) R->L }
% 3.52/0.90 join(join(meet(X, join(Y, meet(X, Z))), meet(X, Z)), meet(meet(X, Z), join(meet(X, Z), meet(X, join(Y, meet(X, Z))))))
% 3.52/0.90 = { by lemma 15 R->L }
% 3.52/0.90 join(join(meet(X, join(Y, meet(X, Z))), meet(X, Z)), join(meet(X, Z), meet(meet(X, join(Y, meet(X, Z))), meet(X, Z))))
% 3.52/0.90 = { by axiom 2 (commutativity_of_meet) R->L }
% 3.52/0.90 join(join(meet(X, join(Y, meet(X, Z))), meet(X, Z)), join(meet(X, Z), meet(meet(X, Z), meet(X, join(Y, meet(X, Z))))))
% 3.52/0.90 = { by lemma 12 }
% 3.52/0.90 join(join(meet(X, join(Y, meet(X, Z))), meet(X, Z)), join(meet(X, Z), meet(X, meet(join(Y, meet(X, Z)), meet(X, Z)))))
% 3.52/0.90 = { by lemma 17 }
% 3.52/0.90 join(join(meet(X, join(Y, meet(X, Z))), meet(X, Z)), join(meet(X, Z), meet(join(Y, meet(X, Z)), meet(X, Z))))
% 3.52/0.90 = { by axiom 2 (commutativity_of_meet) }
% 3.52/0.90 join(join(meet(X, join(Y, meet(X, Z))), meet(X, Z)), join(meet(X, Z), meet(meet(X, Z), join(Y, meet(X, Z)))))
% 3.52/0.90 = { by lemma 13 }
% 3.52/0.90 join(join(meet(X, join(Y, meet(X, Z))), meet(X, Z)), join(meet(X, Z), meet(Z, meet(X, join(Y, meet(X, Z))))))
% 3.52/0.90 = { by lemma 20 }
% 3.52/0.90 join(join(meet(X, join(Y, meet(X, Z))), meet(X, Z)), meet(Z, meet(X, join(Y, meet(X, Z)))))
% 3.52/0.90 = { by axiom 6 (associativity_of_join) }
% 3.52/0.90 join(meet(X, join(Y, meet(X, Z))), join(meet(X, Z), meet(Z, meet(X, join(Y, meet(X, Z))))))
% 3.52/0.90 = { by lemma 20 }
% 3.52/0.90 join(meet(X, join(Y, meet(X, Z))), meet(Z, meet(X, join(Y, meet(X, Z)))))
% 3.52/0.90 = { by lemma 15 }
% 3.52/0.90 meet(meet(X, join(Y, meet(X, Z))), join(meet(X, join(Y, meet(X, Z))), Z))
% 3.52/0.90 = { by lemma 14 R->L }
% 3.52/0.90 join(meet(X, join(Y, meet(X, Z))), meet(meet(X, join(Y, meet(X, Z))), Z))
% 3.52/0.90 = { by axiom 4 (commutativity_of_join) R->L }
% 3.52/0.90 join(meet(meet(X, join(Y, meet(X, Z))), Z), meet(X, join(Y, meet(X, Z))))
% 3.52/0.90 = { by lemma 22 R->L }
% 3.52/0.90 join(meet(meet(X, join(Y, meet(X, Z))), Z), meet(meet(X, join(Y, meet(X, Z))), join(Z, join(Y, meet(X, Z)))))
% 3.52/0.90 = { by axiom 4 (commutativity_of_join) R->L }
% 3.52/0.90 join(meet(meet(X, join(Y, meet(X, Z))), join(Z, join(Y, meet(X, Z)))), meet(meet(X, join(Y, meet(X, Z))), Z))
% 3.52/0.90 = { by axiom 9 (quasi_lattice1) }
% 3.52/0.90 meet(meet(X, join(Y, meet(X, Z))), join(Z, join(Y, meet(X, Z))))
% 3.52/0.90 = { by lemma 22 }
% 3.52/0.90 meet(X, join(Y, meet(X, Z)))
% 3.52/0.90
% 3.52/0.90 Goal 1 (prove_modularity): meet(a, join(b, meet(a, c))) = join(meet(a, b), meet(a, c)).
% 3.52/0.90 Proof:
% 3.52/0.90 meet(a, join(b, meet(a, c)))
% 3.52/0.90 = { by lemma 23 R->L }
% 3.52/0.90 join(meet(a, join(b, meet(a, c))), meet(a, c))
% 3.52/0.90 = { by axiom 4 (commutativity_of_join) R->L }
% 3.52/0.90 join(meet(a, c), meet(a, join(b, meet(a, c))))
% 3.52/0.90 = { by lemma 19 R->L }
% 3.52/0.90 meet(join(meet(a, c), a), join(meet(a, c), meet(a, join(b, meet(a, c)))))
% 3.52/0.90 = { by axiom 4 (commutativity_of_join) }
% 3.52/0.90 meet(join(meet(a, c), a), join(meet(a, join(b, meet(a, c))), meet(a, c)))
% 3.52/0.90 = { by lemma 23 }
% 3.52/0.90 meet(join(meet(a, c), a), meet(a, join(b, meet(a, c))))
% 3.52/0.90 = { by axiom 2 (commutativity_of_meet) }
% 3.52/0.90 meet(meet(a, join(b, meet(a, c))), join(meet(a, c), a))
% 3.52/0.90 = { by axiom 4 (commutativity_of_join) }
% 3.52/0.90 meet(meet(a, join(b, meet(a, c))), join(a, meet(a, c)))
% 3.52/0.90 = { by lemma 18 }
% 3.52/0.90 meet(a, meet(meet(a, join(b, meet(a, c))), join(a, c)))
% 3.52/0.90 = { by axiom 2 (commutativity_of_meet) R->L }
% 3.52/0.90 meet(a, meet(join(a, c), meet(a, join(b, meet(a, c)))))
% 3.52/0.90 = { by lemma 17 }
% 3.52/0.90 meet(join(a, c), meet(a, join(b, meet(a, c))))
% 3.52/0.90 = { by lemma 12 }
% 3.52/0.90 meet(a, meet(join(b, meet(a, c)), join(a, c)))
% 3.52/0.90 = { by lemma 18 R->L }
% 3.52/0.90 meet(join(b, meet(a, c)), join(a, meet(a, c)))
% 3.52/0.90 = { by axiom 2 (commutativity_of_meet) R->L }
% 3.52/0.90 meet(join(a, meet(a, c)), join(b, meet(a, c)))
% 3.52/0.90 = { by lemma 10 R->L }
% 3.52/0.90 meet(join(a, meet(a, c)), join(b, meet(a, meet(a, c))))
% 3.52/0.90 = { by axiom 8 (self_dual_modularity) R->L }
% 3.52/0.90 join(meet(a, meet(a, c)), meet(b, join(a, meet(a, c))))
% 3.52/0.90 = { by lemma 18 }
% 3.52/0.90 join(meet(a, meet(a, c)), meet(a, meet(b, join(a, c))))
% 3.52/0.90 = { by lemma 12 R->L }
% 3.52/0.90 join(meet(a, meet(a, c)), meet(join(a, c), meet(a, b)))
% 3.52/0.90 = { by lemma 17 R->L }
% 3.52/0.90 join(meet(a, meet(a, c)), meet(a, meet(join(a, c), meet(a, b))))
% 3.52/0.90 = { by lemma 12 }
% 3.52/0.90 join(meet(a, meet(a, c)), meet(a, meet(a, meet(b, join(a, c)))))
% 3.52/0.90 = { by lemma 18 R->L }
% 3.52/0.90 join(meet(a, meet(a, c)), meet(a, meet(b, join(a, meet(a, c)))))
% 3.52/0.90 = { by lemma 12 R->L }
% 3.52/0.90 join(meet(a, meet(a, c)), meet(join(a, meet(a, c)), meet(a, b)))
% 3.52/0.90 = { by axiom 2 (commutativity_of_meet) }
% 3.52/0.90 join(meet(a, meet(a, c)), meet(meet(a, b), join(a, meet(a, c))))
% 3.52/0.90 = { by axiom 8 (self_dual_modularity) }
% 3.52/0.90 meet(join(a, meet(a, c)), join(meet(a, b), meet(a, meet(a, c))))
% 3.52/0.90 = { by lemma 10 }
% 3.52/0.90 meet(join(a, meet(a, c)), join(meet(a, b), meet(a, c)))
% 3.52/0.90 = { by axiom 4 (commutativity_of_join) R->L }
% 3.52/0.90 meet(join(a, meet(a, c)), join(meet(a, c), meet(a, b)))
% 3.52/0.90 = { by axiom 4 (commutativity_of_join) R->L }
% 3.52/0.90 meet(join(meet(a, c), a), join(meet(a, c), meet(a, b)))
% 3.52/0.90 = { by lemma 19 }
% 3.52/0.90 join(meet(a, c), meet(a, b))
% 3.52/0.90 = { by axiom 4 (commutativity_of_join) }
% 3.52/0.90 join(meet(a, b), meet(a, c))
% 3.52/0.90 % SZS output end Proof
% 3.52/0.90
% 3.52/0.90 RESULT: Unsatisfiable (the axioms are contradictory).
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