%------------------------------------------------------------------------------ % File : Toma---0.7 % Problem : SYN303-10 : TPTP v9.0.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : run_Leo-III %s %d THM % Computer : n003.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 08:34:57 AM UTC 2025 % Result : Satisfiable 0.17s 0.47s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SYN303-10 : TPTP v9.0.0. Released v7.5.0. % 0.07/0.11 % Command : run_Leo-III %s %d THM % 0.12/0.31 % Computer : n003.cluster.edu % 0.12/0.31 % Model : x86_64 x86_64 % 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.31 % Memory : 8042.1875MB % 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.31 % CPULimit : 300 % 0.12/0.31 % WCLimit : 300 % 0.12/0.31 % DateTime : Mon Jul 14 22:10:49 EDT 2025 % 0.12/0.31 % CPUTime : % 0.17/0.47 % SZS status Satisfiable % 0.17/0.47 The following TRS is a complete presentation of the axioms, but the goal is not joinable. % 0.17/0.47 1: eq(X, X) -> true0 % 0.17/0.47 2: p(X, X) -> true % 0.17/0.47 3: ifeq(X, X, Y, Z) -> Y % 0.17/0.47 4: eq(p(a, f(X)), true) -> false % 0.17/0.47 5: ifeq(p(X, Y), true, p(Y, X), true) -> true % 0.17/0.47 6: ifeq(p(f(X), f(Y)), true, p(X, Y), true) -> true % 0.17/0.47 7: ifeq(p(X, Y), true, p(f(X), f(Y)), true) -> true % 0.17/0.47 %------------------------------------------------------------------------------