%------------------------------------------------------------------------------ % File : Toma---0.7 % Problem : SWX205-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : run_Leo-III %s %d THM % Computer : n002.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 : Tue May 5 07:07:55 PM UTC 2026 % Result : Satisfiable 0.28s 0.54s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX205-1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.12 % Command : run_Leo-III %s %d THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue May 5 11:33:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.54 % SZS status Satisfiable % 0.28/0.54 The following TRS is a complete presentation of the axioms, but the goal is not joinable. % 0.28/0.54 1: eq0(X, X) -> true % 0.28/0.54 2: eq(X, X) -> btrue % 0.28/0.54 3: eq2(X, X) -> btrue % 0.28/0.54 4: impl(btrue, X) -> X % 0.28/0.54 5: impl(bfalse, X) -> btrue % 0.28/0.54 6: eq2(btrue, bfalse) -> bfalse % 0.28/0.54 7: eq2(bfalse, btrue) -> bfalse % 0.28/0.54 8: eq(s(X), z) -> bfalse % 0.28/0.54 9: eq(z, s(X)) -> bfalse % 0.28/0.54 10: eq(s(X), s(Y)) -> eq(X, Y) % 0.28/0.54 11: eq0(eq2(plus_ninf(X), bfalse), btrue) -> false % 0.28/0.54 13: plus_ninf(X) -> impl(eq(s(X), X), bfalse) % 0.28/0.54 14: eq0(eq2(impl(eq(s(X), X), bfalse), bfalse), btrue) -> false % 0.28/0.54 15: eq0(bfalse, btrue) -> false % 0.28/0.54 %------------------------------------------------------------------------------