%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LDA003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 12:01:21 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.45s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LDA003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:12:56 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.45 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.15/0.45
% 0.15/0.45 % SZS status Unsatisfiable
% 0.15/0.45
% 0.15/0.45 % SZS output start Proof
% 0.15/0.45 Axiom 1 (clause_6): u = f(n2, n2).
% 0.15/0.45 Axiom 2 (clause_5): n3 = f(n2, n1).
% 0.15/0.45 Axiom 3 (clause_4): n2 = f(n1, n1).
% 0.15/0.45 Axiom 4 (a2): left(X, f(X, Y)) = true.
% 0.15/0.45 Axiom 5 (a1): f(X, f(Y, Z)) = f(f(X, Y), f(X, Z)).
% 0.15/0.45
% 0.15/0.45 Goal 1 (prove_equation): left(n3, u) = true.
% 0.15/0.46 Proof:
% 0.15/0.46 left(n3, u)
% 0.15/0.46 = { by axiom 1 (clause_6) }
% 0.15/0.46 left(n3, f(n2, n2))
% 0.15/0.46 = { by axiom 3 (clause_4) }
% 0.15/0.46 left(n3, f(n2, f(n1, n1)))
% 0.15/0.46 = { by axiom 5 (a1) }
% 0.15/0.46 left(n3, f(f(n2, n1), f(n2, n1)))
% 0.15/0.46 = { by axiom 2 (clause_5) R->L }
% 0.15/0.46 left(n3, f(n3, f(n2, n1)))
% 0.15/0.46 = { by axiom 2 (clause_5) R->L }
% 0.15/0.46 left(n3, f(n3, n3))
% 0.15/0.46 = { by axiom 4 (a2) }
% 0.15/0.46 true
% 0.15/0.46 % SZS output end Proof
% 0.15/0.46
% 0.15/0.46 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------