TSTP Solution File: LAT088-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : LAT088-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n024.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 06:27:23 EDT 2023
% Result : Unsatisfiable 0.10s 0.35s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : LAT088-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.11 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.10/0.32 % Computer : n024.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu Aug 24 08:10:09 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.35 Command-line arguments: --no-flatten-goal
% 0.10/0.35
% 0.10/0.35 % SZS status Unsatisfiable
% 0.10/0.35
% 0.10/0.36 % SZS output start Proof
% 0.10/0.36 Axiom 1 (wal_absorbtion_1): join(meet(X, Y), meet(X, join(X, Y))) = X.
% 0.10/0.36 Axiom 2 (wal_absorbtion_5): join(join(meet(X, Y), meet(Z, X)), X) = X.
% 0.10/0.36 Axiom 3 (wal_absorbtion_4): meet(meet(join(X, Y), join(Z, X)), X) = X.
% 0.10/0.36
% 0.10/0.36 Goal 1 (prove_normal_axioms_1): meet(a, a) = a.
% 0.10/0.36 Proof:
% 0.10/0.36 meet(a, a)
% 0.10/0.36 = { by axiom 3 (wal_absorbtion_4) R->L }
% 0.10/0.36 meet(meet(meet(join(a, X), join(Y, a)), a), a)
% 0.10/0.36 = { by axiom 3 (wal_absorbtion_4) R->L }
% 0.10/0.36 meet(meet(meet(join(a, X), join(Y, a)), a), meet(meet(join(a, X), join(Y, a)), a))
% 0.10/0.36 = { by axiom 3 (wal_absorbtion_4) R->L }
% 0.10/0.36 meet(meet(meet(join(a, X), join(Y, a)), meet(meet(join(a, X), join(Y, a)), a)), meet(meet(join(a, X), join(Y, a)), a))
% 0.10/0.36 = { by axiom 1 (wal_absorbtion_1) R->L }
% 0.10/0.36 meet(meet(join(meet(meet(join(a, X), join(Y, a)), a), meet(meet(join(a, X), join(Y, a)), join(meet(join(a, X), join(Y, a)), a))), meet(meet(join(a, X), join(Y, a)), a)), meet(meet(join(a, X), join(Y, a)), a))
% 0.10/0.36 = { by axiom 2 (wal_absorbtion_5) R->L }
% 0.16/0.36 meet(meet(join(meet(meet(join(a, X), join(Y, a)), a), meet(meet(join(a, X), join(Y, a)), join(meet(join(a, X), join(Y, a)), a))), join(join(meet(meet(meet(join(a, X), join(Y, a)), a), Z), meet(W, meet(meet(join(a, X), join(Y, a)), a))), meet(meet(join(a, X), join(Y, a)), a))), meet(meet(join(a, X), join(Y, a)), a))
% 0.16/0.36 = { by axiom 3 (wal_absorbtion_4) }
% 0.16/0.36 meet(meet(join(a, X), join(Y, a)), a)
% 0.16/0.36 = { by axiom 3 (wal_absorbtion_4) }
% 0.16/0.36 a
% 0.16/0.36 % SZS output end Proof
% 0.16/0.36
% 0.16/0.36 RESULT: Unsatisfiable (the axioms are contradictory).
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