%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT037-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/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 11:42:53 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.47s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT037-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:02:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 Command-line arguments: --no-flatten-goal
% 0.20/0.47
% 0.20/0.47 % SZS status Unsatisfiable
% 0.20/0.47
% 0.20/0.47 % SZS output start Proof
% 0.20/0.47 Axiom 1 (commutativity_of_join): join(X, Y) = join(Y, X).
% 0.20/0.47 Axiom 2 (x_join_0): join(X, n0) = X.
% 0.20/0.47 Axiom 3 (lhs1): join(xx, yy) = n1.
% 0.20/0.47 Axiom 4 (lhs2): join(xx, zz) = n1.
% 0.20/0.47 Axiom 5 (commutativity_of_meet): meet(X, Y) = meet(Y, X).
% 0.20/0.47 Axiom 6 (x_meet_1): meet(X, n1) = X.
% 0.20/0.47 Axiom 7 (lhs3): meet(xx, yy) = n0.
% 0.20/0.47 Axiom 8 (lhs4): meet(xx, zz) = n0.
% 0.20/0.47 Axiom 9 (dist_meet): meet(X, join(Y, Z)) = join(meet(X, Y), meet(X, Z)).
% 0.20/0.47
% 0.20/0.47 Goal 1 (rhs): yy = zz.
% 0.20/0.47 Proof:
% 0.20/0.47 yy
% 0.20/0.47 = { by axiom 6 (x_meet_1) R->L }
% 0.20/0.47 meet(yy, n1)
% 0.20/0.47 = { by axiom 4 (lhs2) R->L }
% 0.20/0.47 meet(yy, join(xx, zz))
% 0.20/0.47 = { by axiom 1 (commutativity_of_join) }
% 0.20/0.47 meet(yy, join(zz, xx))
% 0.20/0.47 = { by axiom 9 (dist_meet) }
% 0.20/0.47 join(meet(yy, zz), meet(yy, xx))
% 0.20/0.47 = { by axiom 5 (commutativity_of_meet) R->L }
% 0.20/0.47 join(meet(yy, zz), meet(xx, yy))
% 0.20/0.47 = { by axiom 7 (lhs3) }
% 0.20/0.47 join(meet(yy, zz), n0)
% 0.20/0.47 = { by axiom 2 (x_join_0) }
% 0.20/0.47 meet(yy, zz)
% 0.20/0.47 = { by axiom 5 (commutativity_of_meet) R->L }
% 0.20/0.47 meet(zz, yy)
% 0.20/0.47 = { by axiom 2 (x_join_0) R->L }
% 0.20/0.47 join(meet(zz, yy), n0)
% 0.20/0.47 = { by axiom 8 (lhs4) R->L }
% 0.20/0.47 join(meet(zz, yy), meet(xx, zz))
% 0.20/0.47 = { by axiom 5 (commutativity_of_meet) }
% 0.20/0.47 join(meet(zz, yy), meet(zz, xx))
% 0.20/0.47 = { by axiom 9 (dist_meet) R->L }
% 0.20/0.47 meet(zz, join(yy, xx))
% 0.20/0.47 = { by axiom 1 (commutativity_of_join) R->L }
% 0.20/0.47 meet(zz, join(xx, yy))
% 0.20/0.47 = { by axiom 3 (lhs1) }
% 0.20/0.47 meet(zz, n1)
% 0.20/0.47 = { by axiom 6 (x_meet_1) }
% 0.20/0.47 zz
% 0.20/0.47 % SZS output end Proof
% 0.20/0.47
% 0.20/0.47 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------