%------------------------------------------------------------------------------ % File : Beagle---0.9.52 % Problem : SYN348-1 : TPTP v9.0.0. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s % Computer : n007.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 : Wed Apr 9 10:03:18 PM UTC 2025 % Result : Satisfiable 4.74s 2.10s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.13 % Problem : SYN348-1 : TPTP v9.0.0. Released v1.2.0. % 0.09/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s % 0.14/0.35 % Computer : n007.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Wed Apr 9 07:20:09 EDT 2025 % 0.14/0.35 % CPUTime : % 4.74/2.10 % 4.74/2.10 % SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.74/2.10 % 4.74/2.10 % SZS output start Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.74/2.11 %$ f > g > #nlpp > w % 4.74/2.11 % 4.74/2.11 %Foreground sorts: % 4.74/2.11 % 4.74/2.11 % 4.74/2.11 %Background operators: % 4.74/2.11 % 4.74/2.11 % 4.74/2.11 %Foreground operators: % 4.74/2.11 tff(g, type, g: ($i * $i) > $i). % 4.74/2.11 tff(f, type, f: ($i * $i) > $o). % 4.74/2.11 tff(w, type, w: $i > $i). % 4.74/2.11 % 4.74/2.11 %Saturated clause set: % 4.74/2.11 tff(c_12, plain, (![X_11, Y_12]: (~f(g(X_11, Y_12), w(X_11)) | ~f(w(X_11), g(X_11, Y_12)) | f(g(X_11, Y_12), X_11) | f(Y_12, g(X_11, Y_12)) | f(g(X_11, Y_12), Y_12) | f(X_11, g(X_11, Y_12))))). % 4.74/2.11 tff(c_30, plain, (![X_29, Y_30]: (f(g(X_29, Y_30), w(X_29)) | f(w(X_29), g(X_29, Y_30)) | ~f(g(X_29, Y_30), X_29) | ~f(Y_30, g(X_29, Y_30)) | ~f(g(X_29, Y_30), Y_30) | ~f(X_29, g(X_29, Y_30))))). % 4.74/2.11 tff(c_294, plain, (![X_25]: (~f(g(X_25, w(X_25)), X_25) | ~f(w(X_25), g(X_25, w(X_25))) | f(X_25, g(X_25, w(X_25))) | f(g(X_25, w(X_25)), w(X_25))))). % 4.74/2.11 tff(c_24, plain, (![X_23, Y_24]: (~f(g(X_23, Y_24), w(X_23)) | f(w(X_23), g(X_23, Y_24)) | ~f(g(X_23, Y_24), X_23) | f(Y_24, g(X_23, Y_24)) | ~f(g(X_23, Y_24), Y_24) | f(X_23, g(X_23, Y_24))))). % 4.74/2.11 tff(c_26, plain, (![X_25, Y_26]: (f(g(X_25, Y_26), w(X_25)) | ~f(w(X_25), g(X_25, Y_26)) | ~f(g(X_25, Y_26), X_25) | ~f(Y_26, g(X_25, Y_26)) | f(g(X_25, Y_26), Y_26) | f(X_25, g(X_25, Y_26))))). % 4.74/2.11 tff(c_16, plain, (![X_15, Y_16]: (~f(g(X_15, Y_16), w(X_15)) | f(w(X_15), g(X_15, Y_16)) | f(g(X_15, Y_16), X_15) | f(Y_16, g(X_15, Y_16)) | ~f(g(X_15, Y_16), Y_16) | ~f(X_15, g(X_15, Y_16))))). % 4.74/2.11 tff(c_8, plain, (![X_7, Y_8]: (~f(g(X_7, Y_8), w(X_7)) | ~f(w(X_7), g(X_7, Y_8)) | f(g(X_7, Y_8), X_7) | ~f(Y_8, g(X_7, Y_8)) | ~f(g(X_7, Y_8), Y_8) | f(X_7, g(X_7, Y_8))))). % 4.74/2.11 tff(c_14, plain, (![X_13, Y_14]: (f(g(X_13, Y_14), w(X_13)) | ~f(w(X_13), g(X_13, Y_14)) | f(g(X_13, Y_14), X_13) | f(Y_14, g(X_13, Y_14)) | ~f(g(X_13, Y_14), Y_14) | ~f(X_13, g(X_13, Y_14))))). % 4.74/2.11 tff(c_22, plain, (![X_21, Y_22]: (f(g(X_21, Y_22), w(X_21)) | ~f(w(X_21), g(X_21, Y_22)) | ~f(g(X_21, Y_22), X_21) | f(Y_22, g(X_21, Y_22)) | ~f(g(X_21, Y_22), Y_22) | f(X_21, g(X_21, Y_22))))). % 4.74/2.11 tff(c_154, plain, (![X_9]: (f(g(X_9, w(X_9)), X_9) | f(w(X_9), g(X_9, w(X_9))) | f(X_9, g(X_9, w(X_9))) | f(g(X_9, w(X_9)), w(X_9))))). % 4.74/2.11 tff(c_10, plain, (![X_9, Y_10]: (f(g(X_9, Y_10), w(X_9)) | f(w(X_9), g(X_9, Y_10)) | f(g(X_9, Y_10), X_9) | f(Y_10, g(X_9, Y_10)) | f(g(X_9, Y_10), Y_10) | f(X_9, g(X_9, Y_10))))). % 4.74/2.12 tff(c_4, plain, (![X_3, Y_4]: (~f(g(X_3, Y_4), w(X_3)) | f(w(X_3), g(X_3, Y_4)) | f(g(X_3, Y_4), X_3) | ~f(Y_4, g(X_3, Y_4)) | f(g(X_3, Y_4), Y_4) | ~f(X_3, g(X_3, Y_4))))). % 4.74/2.12 tff(c_28, plain, (![X_27, Y_28]: (~f(g(X_27, Y_28), w(X_27)) | f(w(X_27), g(X_27, Y_28)) | ~f(g(X_27, Y_28), X_27) | ~f(Y_28, g(X_27, Y_28)) | f(g(X_27, Y_28), Y_28) | f(X_27, g(X_27, Y_28))))). % 4.74/2.12 tff(c_86, plain, (![X_17]: (~f(g(X_17, w(X_17)), X_17) | f(w(X_17), g(X_17, w(X_17))) | ~f(X_17, g(X_17, w(X_17))) | f(g(X_17, w(X_17)), w(X_17))))). % 4.74/2.12 tff(c_18, plain, (![X_17, Y_18]: (f(g(X_17, Y_18), w(X_17)) | f(w(X_17), g(X_17, Y_18)) | ~f(g(X_17, Y_18), X_17) | f(Y_18, g(X_17, Y_18)) | f(g(X_17, Y_18), Y_18) | ~f(X_17, g(X_17, Y_18))))). % 4.74/2.12 tff(c_6, plain, (![X_5, Y_6]: (f(g(X_5, Y_6), w(X_5)) | f(w(X_5), g(X_5, Y_6)) | f(g(X_5, Y_6), X_5) | ~f(Y_6, g(X_5, Y_6)) | ~f(g(X_5, Y_6), Y_6) | f(X_5, g(X_5, Y_6))))). % 4.74/2.12 tff(c_20, plain, (![X_19, Y_20]: (~f(g(X_19, Y_20), w(X_19)) | ~f(w(X_19), g(X_19, Y_20)) | ~f(g(X_19, Y_20), X_19) | f(Y_20, g(X_19, Y_20)) | f(g(X_19, Y_20), Y_20) | ~f(X_19, g(X_19, Y_20))))). % 4.74/2.12 tff(c_47, plain, (![X_1]: (f(g(X_1, w(X_1)), X_1) | ~f(w(X_1), g(X_1, w(X_1))) | ~f(X_1, g(X_1, w(X_1))) | f(g(X_1, w(X_1)), w(X_1))))). % 4.74/2.12 tff(c_2, plain, (![X_1, Y_2]: (f(g(X_1, Y_2), w(X_1)) | ~f(w(X_1), g(X_1, Y_2)) | f(g(X_1, Y_2), X_1) | ~f(Y_2, g(X_1, Y_2)) | f(g(X_1, Y_2), Y_2) | ~f(X_1, g(X_1, Y_2))))). % 4.74/2.12 tff(c_32, plain, (![X_31, Y_32]: (~f(g(X_31, Y_32), w(X_31)) | ~f(w(X_31), g(X_31, Y_32)) | ~f(g(X_31, Y_32), X_31) | ~f(Y_32, g(X_31, Y_32)) | ~f(g(X_31, Y_32), Y_32) | ~f(X_31, g(X_31, Y_32))))). % 4.74/2.12 % SZS output end Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.74/2.12 %------------------------------------------------------------------------------