%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYO612-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 02:24:07 PM UTC 2026
% Result : Unsatisfiable 3.83s 0.79s
% Output : Proof 4.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO612-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.16 % Computer : n004.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 17:55:22 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.83/0.79 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
% 3.83/0.79
% 3.83/0.79 % SZS status Unsatisfiable
% 3.83/0.79
% 4.64/0.82 % SZS output start Proof
% 4.64/0.82 Axiom 1 (sos_01): le(X, X) = true.
% 4.64/0.82 Axiom 2 (sos_04): eq(f(X), a0) = true.
% 4.64/0.82
% 4.64/0.82 Goal 1 (sos_05): tuple(le(s(X), Y), le(s(Y), Z), le(s(Z), W), le(s(W), V), le(s(V), U), le(s(U), T), eq(f(X), a0), eq(f(Y), a0), eq(f(Z), a0), eq(f(W), a0), eq(f(V), a0), eq(f(U), a0), eq(f(T), a0)) = tuple(true, true, true, true, true, true, true, true, true, true, true, true, true).
% 4.64/0.82 The goal is true when:
% 4.64/0.82 X = X
% 4.64/0.82 Y = s(X)
% 4.64/0.82 Z = s(s(X))
% 4.64/0.82 W = s(s(s(X)))
% 4.64/0.82 V = s(s(s(s(X))))
% 4.64/0.82 U = s(s(s(s(s(X)))))
% 4.64/0.82 T = s(s(s(s(s(s(X))))))
% 4.64/0.82
% 4.64/0.82 Proof:
% 4.64/0.82 tuple(le(s(X), s(X)), le(s(s(X)), s(s(X))), le(s(s(s(X))), s(s(s(X)))), le(s(s(s(s(X)))), s(s(s(s(X))))), le(s(s(s(s(s(X))))), s(s(s(s(s(X)))))), le(s(s(s(s(s(s(X)))))), s(s(s(s(s(s(X))))))), eq(f(X), a0), eq(f(s(X)), a0), eq(f(s(s(X))), a0), eq(f(s(s(s(X)))), a0), eq(f(s(s(s(s(X))))), a0), eq(f(s(s(s(s(s(X)))))), a0), eq(f(s(s(s(s(s(s(X))))))), a0))
% 4.64/0.82 = { by axiom 2 (sos_04) }
% 4.64/0.82 tuple(le(s(X), s(X)), le(s(s(X)), s(s(X))), le(s(s(s(X))), s(s(s(X)))), le(s(s(s(s(X)))), s(s(s(s(X))))), le(s(s(s(s(s(X))))), s(s(s(s(s(X)))))), le(s(s(s(s(s(s(X)))))), s(s(s(s(s(s(X))))))), true, eq(f(s(X)), a0), eq(f(s(s(X))), a0), eq(f(s(s(s(X)))), a0), eq(f(s(s(s(s(X))))), a0), eq(f(s(s(s(s(s(X)))))), a0), eq(f(s(s(s(s(s(s(X))))))), a0))
% 4.64/0.82 = { by axiom 2 (sos_04) }
% 4.64/0.82 tuple(le(s(X), s(X)), le(s(s(X)), s(s(X))), le(s(s(s(X))), s(s(s(X)))), le(s(s(s(s(X)))), s(s(s(s(X))))), le(s(s(s(s(s(X))))), s(s(s(s(s(X)))))), le(s(s(s(s(s(s(X)))))), s(s(s(s(s(s(X))))))), true, true, eq(f(s(s(X))), a0), eq(f(s(s(s(X)))), a0), eq(f(s(s(s(s(X))))), a0), eq(f(s(s(s(s(s(X)))))), a0), eq(f(s(s(s(s(s(s(X))))))), a0))
% 4.64/0.82 = { by axiom 2 (sos_04) }
% 4.64/0.82 tuple(le(s(X), s(X)), le(s(s(X)), s(s(X))), le(s(s(s(X))), s(s(s(X)))), le(s(s(s(s(X)))), s(s(s(s(X))))), le(s(s(s(s(s(X))))), s(s(s(s(s(X)))))), le(s(s(s(s(s(s(X)))))), s(s(s(s(s(s(X))))))), true, true, true, eq(f(s(s(s(X)))), a0), eq(f(s(s(s(s(X))))), a0), eq(f(s(s(s(s(s(X)))))), a0), eq(f(s(s(s(s(s(s(X))))))), a0))
% 4.64/0.82 = { by axiom 2 (sos_04) }
% 4.64/0.82 tuple(le(s(X), s(X)), le(s(s(X)), s(s(X))), le(s(s(s(X))), s(s(s(X)))), le(s(s(s(s(X)))), s(s(s(s(X))))), le(s(s(s(s(s(X))))), s(s(s(s(s(X)))))), le(s(s(s(s(s(s(X)))))), s(s(s(s(s(s(X))))))), true, true, true, true, eq(f(s(s(s(s(X))))), a0), eq(f(s(s(s(s(s(X)))))), a0), eq(f(s(s(s(s(s(s(X))))))), a0))
% 4.64/0.83 = { by axiom 2 (sos_04) }
% 4.64/0.83 tuple(le(s(X), s(X)), le(s(s(X)), s(s(X))), le(s(s(s(X))), s(s(s(X)))), le(s(s(s(s(X)))), s(s(s(s(X))))), le(s(s(s(s(s(X))))), s(s(s(s(s(X)))))), le(s(s(s(s(s(s(X)))))), s(s(s(s(s(s(X))))))), true, true, true, true, true, eq(f(s(s(s(s(s(X)))))), a0), eq(f(s(s(s(s(s(s(X))))))), a0))
% 4.64/0.83 = { by axiom 2 (sos_04) }
% 4.64/0.83 tuple(le(s(X), s(X)), le(s(s(X)), s(s(X))), le(s(s(s(X))), s(s(s(X)))), le(s(s(s(s(X)))), s(s(s(s(X))))), le(s(s(s(s(s(X))))), s(s(s(s(s(X)))))), le(s(s(s(s(s(s(X)))))), s(s(s(s(s(s(X))))))), true, true, true, true, true, true, eq(f(s(s(s(s(s(s(X))))))), a0))
% 4.64/0.83 = { by axiom 2 (sos_04) }
% 4.64/0.83 tuple(le(s(X), s(X)), le(s(s(X)), s(s(X))), le(s(s(s(X))), s(s(s(X)))), le(s(s(s(s(X)))), s(s(s(s(X))))), le(s(s(s(s(s(X))))), s(s(s(s(s(X)))))), le(s(s(s(s(s(s(X)))))), s(s(s(s(s(s(X))))))), true, true, true, true, true, true, true)
% 4.64/0.83 = { by axiom 1 (sos_01) }
% 4.64/0.83 tuple(le(s(X), s(X)), le(s(s(X)), s(s(X))), le(s(s(s(X))), s(s(s(X)))), le(s(s(s(s(X)))), s(s(s(s(X))))), le(s(s(s(s(s(X))))), s(s(s(s(s(X)))))), true, true, true, true, true, true, true, true)
% 4.64/0.83 = { by axiom 1 (sos_01) }
% 4.64/0.83 tuple(le(s(X), s(X)), le(s(s(X)), s(s(X))), le(s(s(s(X))), s(s(s(X)))), le(s(s(s(s(X)))), s(s(s(s(X))))), true, true, true, true, true, true, true, true, true)
% 4.64/0.83 = { by axiom 1 (sos_01) }
% 4.64/0.83 tuple(le(s(X), s(X)), le(s(s(X)), s(s(X))), le(s(s(s(X))), s(s(s(X)))), true, true, true, true, true, true, true, true, true, true)
% 4.64/0.83 = { by axiom 1 (sos_01) }
% 4.64/0.83 tuple(le(s(X), s(X)), le(s(s(X)), s(s(X))), true, true, true, true, true, true, true, true, true, true, true)
% 4.64/0.83 = { by axiom 1 (sos_01) }
% 4.64/0.83 tuple(le(s(X), s(X)), true, true, true, true, true, true, true, true, true, true, true, true)
% 4.64/0.83 = { by axiom 1 (sos_01) }
% 4.64/0.83 tuple(true, true, true, true, true, true, true, true, true, true, true, true, true)
% 4.64/0.83 % SZS output end Proof
% 4.64/0.83
% 4.64/0.83 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------