TSTP Solution File: LAT032-1 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : LAT032-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n021.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 06:27:12 EDT 2023
% Result : Unsatisfiable 0.20s 0.42s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT032-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 08:08:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.42 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 0.20/0.42
% 0.20/0.42 % SZS status Unsatisfiable
% 0.20/0.42
% 0.20/0.43 % SZS output start Proof
% 0.20/0.43 Axiom 1 (commutativity_of_meet): meet(X, Y) = meet(Y, X).
% 0.20/0.43 Axiom 2 (commutativity_of_join): join(X, Y) = join(Y, X).
% 0.20/0.43 Axiom 3 (absorption1): meet(X, join(X, Y)) = X.
% 0.20/0.43 Axiom 4 (associativity_of_meet): meet(meet(X, Y), Z) = meet(X, meet(Y, Z)).
% 0.20/0.43 Axiom 5 (absorption2): join(X, meet(X, Y)) = X.
% 0.20/0.43 Axiom 6 (dist_join): join(X, meet(Y, Z)) = meet(join(X, Y), join(X, Z)).
% 0.20/0.43
% 0.20/0.43 Goal 1 (dist_meet): meet(xx, join(yy, zz)) = join(meet(xx, yy), meet(xx, zz)).
% 0.20/0.43 Proof:
% 0.20/0.43 meet(xx, join(yy, zz))
% 0.20/0.43 = { by axiom 3 (absorption1) R->L }
% 0.20/0.43 meet(meet(xx, join(xx, yy)), join(yy, zz))
% 0.20/0.43 = { by axiom 4 (associativity_of_meet) }
% 0.20/0.43 meet(xx, meet(join(xx, yy), join(yy, zz)))
% 0.20/0.43 = { by axiom 1 (commutativity_of_meet) }
% 0.20/0.43 meet(xx, meet(join(yy, zz), join(xx, yy)))
% 0.20/0.43 = { by axiom 2 (commutativity_of_join) R->L }
% 0.20/0.43 meet(xx, meet(join(yy, zz), join(yy, xx)))
% 0.20/0.43 = { by axiom 6 (dist_join) R->L }
% 0.20/0.43 meet(xx, join(yy, meet(zz, xx)))
% 0.20/0.43 = { by axiom 5 (absorption2) R->L }
% 0.20/0.43 meet(join(xx, meet(xx, zz)), join(yy, meet(zz, xx)))
% 0.20/0.43 = { by axiom 1 (commutativity_of_meet) }
% 0.20/0.43 meet(join(xx, meet(zz, xx)), join(yy, meet(zz, xx)))
% 0.20/0.43 = { by axiom 2 (commutativity_of_join) R->L }
% 0.20/0.43 meet(join(xx, meet(zz, xx)), join(meet(zz, xx), yy))
% 0.20/0.43 = { by axiom 2 (commutativity_of_join) R->L }
% 0.20/0.43 meet(join(meet(zz, xx), xx), join(meet(zz, xx), yy))
% 0.20/0.43 = { by axiom 6 (dist_join) R->L }
% 0.20/0.43 join(meet(zz, xx), meet(xx, yy))
% 0.20/0.43 = { by axiom 2 (commutativity_of_join) }
% 0.20/0.43 join(meet(xx, yy), meet(zz, xx))
% 0.20/0.43 = { by axiom 1 (commutativity_of_meet) }
% 0.20/0.43 join(meet(yy, xx), meet(zz, xx))
% 0.20/0.43 = { by axiom 1 (commutativity_of_meet) R->L }
% 0.20/0.43 join(meet(yy, xx), meet(xx, zz))
% 0.20/0.43 = { by axiom 1 (commutativity_of_meet) R->L }
% 0.20/0.43 join(meet(xx, yy), meet(xx, zz))
% 0.20/0.43 % SZS output end Proof
% 0.20/0.43
% 0.20/0.43 RESULT: Unsatisfiable (the axioms are contradictory).
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