%------------------------------------------------------------------------------ % File : Toma---0.7 % Problem : SYO641-10 : TPTP v9.0.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : run_Leo-III %s %d THM % Computer : n012.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 Jul 15 08:40:41 AM UTC 2025 % Result : Satisfiable 0.13s 0.41s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.08 % Problem : SYO641-10 : TPTP v9.0.0. Released v7.5.0. % 0.00/0.08 % Command : run_Leo-III %s %d THM % 0.08/0.28 % Computer : n012.cluster.edu % 0.08/0.28 % Model : x86_64 x86_64 % 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.28 % Memory : 8042.1875MB % 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.28 % CPULimit : 300 % 0.08/0.28 % WCLimit : 300 % 0.08/0.28 % DateTime : Mon Jul 14 23:02:19 EDT 2025 % 0.08/0.28 % CPUTime : % 0.13/0.41 % SZS status Satisfiable % 0.13/0.41 The following TRS is a complete presentation of the axioms, but the goal is not joinable. % 0.13/0.41 1: eq(X, X) -> true0 % 0.13/0.41 2: f(sK3_notref3_Y2, sK2_notref3_Y3, X) -> true % 0.13/0.41 3: ifeq(X, X, Y, Z) -> Y % 0.13/0.41 4: ifeq(f(X, Y, sK1_notref3_Y1(X)), true, f(Y, sK1_notref3_Y1(X), sK1_notref3_Y1(X)), true) -> true % 0.13/0.41 5: f(sK2_notref3_Y3, sK1_notref3_Y1(sK3_notref3_Y2), sK1_notref3_Y1(sK3_notref3_Y2)) -> true % 0.13/0.41 6: eq(tuple(f(X, Y, Z), f(W, X, V), f(Y, U, U2)), tuple(true, true, true)) -> false % 0.13/0.41 7: eq(tuple(f(sK2_notref3_Y3, X, Y), true, f(X, Z, W)), tuple(true, true, true)) -> false % 0.13/0.41 8: eq(tuple(f(sK2_notref3_Y3, sK2_notref3_Y3, X), true, true), tuple(true, true, true)) -> false % 0.13/0.41 9: eq(tuple(f(sK2_notref3_Y3, sK3_notref3_Y2, X), true, true), tuple(true, true, true)) -> false % 0.13/0.41 10: eq(tuple(true, true, f(sK1_notref3_Y1(sK3_notref3_Y2), X, Y)), tuple(true, true, true)) -> false % 0.13/0.41 11: eq(tuple(f(X, sK3_notref3_Y2, Y), f(Z, X, W), true), tuple(true, true, true)) -> false % 0.13/0.41 12: eq(tuple(f(sK1_notref3_Y1(sK3_notref3_Y2), sK3_notref3_Y2, X), true, true), tuple(true, true, true)) -> false % 0.13/0.41 13: eq(tuple(true, f(X, sK3_notref3_Y2, Y), f(sK2_notref3_Y3, Z, W)), tuple(true, true, true)) -> false % 0.13/0.41 14: eq(tuple(true, f(X, sK3_notref3_Y2, Y), true), tuple(true, true, true)) -> false % 0.13/0.41 15: eq(tuple(f(X, sK2_notref3_Y3, Y), f(Z, X, W), true), tuple(true, true, true)) -> false % 0.13/0.41 16: eq(tuple(f(sK1_notref3_Y1(sK3_notref3_Y2), sK2_notref3_Y3, X), true, true), tuple(true, true, true)) -> false % 0.13/0.41 17: eq(tuple(f(sK1_notref3_Y1(sK3_notref3_Y2), X, Y), true, f(X, Z, W)), tuple(true, true, true)) -> false % 0.13/0.41 18: eq(tuple(true, f(X, sK2_notref3_Y3, Y), f(sK1_notref3_Y1(sK3_notref3_Y2), Z, W)), tuple(true, true, true)) -> false % 0.13/0.41 %------------------------------------------------------------------------------