%------------------------------------------------------------------------------ % File : Beagle---0.9.52 % Problem : PUZ054-1 : TPTP v9.0.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s % Computer : n032.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 08:25:10 PM UTC 2025 % Result : Satisfiable 3.39s 1.82s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.10 % Problem : PUZ054-1 : TPTP v9.0.0. Released v2.7.0. % 0.02/0.11 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s % 0.09/0.30 % Computer : n032.cluster.edu % 0.09/0.30 % Model : x86_64 x86_64 % 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.30 % Memory : 8042.1875MB % 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.30 % CPULimit : 300 % 0.09/0.30 % WCLimit : 300 % 0.09/0.30 % DateTime : Tue Apr 8 17:16:00 EDT 2025 % 0.09/0.30 % CPUTime : % 3.33/1.82 % 3.39/1.82 % SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 3.39/1.82 % 3.39/1.82 % SZS output start Saturation for /export/starexec/sandbox2/benchmark/theBenchmark.p % 3.39/1.84 %$ p > #nlpp > s > n0 % 3.39/1.84 % 3.39/1.84 %Foreground sorts: % 3.39/1.84 % 3.39/1.84 % 3.39/1.84 %Background operators: % 3.39/1.84 % 3.39/1.84 % 3.39/1.84 %Foreground operators: % 3.39/1.84 tff(s, type, s: $i > $i). % 3.39/1.84 tff(n0, type, n0: $i). % 3.39/1.84 tff(p, type, p: ($i * $i) > $o). % 3.39/1.84 % 3.39/1.84 %Saturated clause set: % 3.39/1.84 tff(c_371, plain, (p(s(s(s(s(s(s(s(s(n0)))))))), s(s(s(s(s(s(s(s(n0))))))))))). % 3.39/1.84 tff(c_765, plain, (p(s(s(s(s(s(s(n0)))))), s(s(s(s(s(s(s(s(s(n0)))))))))))). % 3.39/1.84 tff(c_786, plain, (p(n0, s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))). % 3.39/1.84 tff(c_695, plain, (p(s(s(n0)), s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))). % 3.39/1.84 tff(c_753, plain, (p(n0, s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))). % 3.39/1.84 tff(c_370, plain, (p(s(s(s(s(s(s(n0)))))), s(s(s(s(s(s(s(s(s(s(n0))))))))))))). % 3.39/1.84 tff(c_707, plain, (p(s(s(n0)), s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))). % 3.39/1.84 tff(c_734, plain, (p(n0, s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))). % 3.39/1.84 tff(c_720, plain, (p(s(s(n0)), s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))). % 3.39/1.84 tff(c_706, plain, (p(s(s(s(s(n0)))), s(s(s(s(s(s(s(s(s(s(n0))))))))))))). % 3.39/1.84 tff(c_694, plain, (p(s(s(s(s(n0)))), s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))). % 3.39/1.84 tff(c_281, plain, (p(s(s(s(s(n0)))), s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))). % 3.39/1.84 tff(c_676, plain, (p(n0, s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))). % 3.39/1.84 tff(c_661, plain, (p(s(s(n0)), s(s(s(s(s(s(s(s(s(s(n0))))))))))))). % 3.39/1.84 tff(c_647, plain, (p(s(s(s(s(n0)))), s(s(s(s(s(s(s(s(s(n0)))))))))))). % 3.39/1.84 tff(c_633, plain, (p(s(s(s(s(s(s(n0)))))), s(s(s(s(s(s(s(s(n0))))))))))). % 3.39/1.84 tff(c_60, plain, (p(s(s(s(s(s(s(s(s(n0)))))))), s(s(s(s(s(s(s(n0)))))))))). % 3.39/1.84 tff(c_613, plain, (p(n0, s(s(s(s(s(s(s(s(s(s(n0))))))))))))). % 3.39/1.84 tff(c_599, plain, (p(s(s(n0)), s(s(s(s(s(s(s(s(s(n0)))))))))))). % 3.39/1.84 tff(c_585, plain, (p(s(s(s(s(n0)))), s(s(s(s(s(s(s(s(n0))))))))))). % 3.39/1.84 tff(c_571, plain, (p(s(s(s(s(s(s(n0)))))), s(s(s(s(s(s(s(n0)))))))))). % 3.39/1.84 tff(c_72, plain, (p(s(s(s(s(s(s(s(s(n0)))))))), s(s(s(s(s(s(n0))))))))). % 3.39/1.84 tff(c_550, plain, (p(n0, s(s(s(s(s(s(s(s(s(n0)))))))))))). % 3.39/1.84 tff(c_536, plain, (p(s(s(n0)), s(s(s(s(s(s(s(s(n0))))))))))). % 3.39/1.84 tff(c_522, plain, (p(s(s(s(s(n0)))), s(s(s(s(s(s(s(n0)))))))))). % 3.39/1.84 tff(c_508, plain, (p(s(s(s(s(s(s(n0)))))), s(s(s(s(s(s(n0))))))))). % 3.39/1.84 tff(c_84, plain, (p(s(s(s(s(s(s(s(s(n0)))))))), s(s(s(s(s(n0)))))))). % 3.39/1.84 tff(c_489, plain, (p(n0, s(s(s(s(s(s(s(s(n0))))))))))). % 3.39/1.84 tff(c_475, plain, (p(s(s(n0)), s(s(s(s(s(s(s(n0)))))))))). % 3.39/1.84 tff(c_460, plain, (p(s(s(s(s(n0)))), s(s(s(s(s(s(n0))))))))). % 3.39/1.84 tff(c_446, plain, (p(s(s(s(s(s(s(n0)))))), s(s(s(s(s(n0)))))))). % 3.39/1.84 tff(c_96, plain, (p(s(s(s(s(s(s(s(s(n0)))))))), s(s(s(s(n0))))))). % 3.39/1.85 tff(c_425, plain, (p(n0, s(s(s(s(s(s(s(n0)))))))))). % 3.39/1.85 tff(c_411, plain, (p(s(s(n0)), s(s(s(s(s(s(n0))))))))). % 3.39/1.85 tff(c_397, plain, (p(s(s(s(s(n0)))), s(s(s(s(s(n0)))))))). % 3.39/1.85 tff(c_383, plain, (p(s(s(s(s(s(s(n0)))))), s(s(s(s(n0))))))). % 3.39/1.85 tff(c_108, plain, (p(s(s(s(s(s(s(s(s(n0)))))))), s(s(s(n0)))))). % 3.39/1.85 tff(c_149, plain, (p(s(s(s(s(s(s(s(s(n0)))))))), s(s(s(s(s(s(s(s(s(n0)))))))))))). % 3.39/1.85 tff(c_117, plain, (p(s(s(s(s(s(s(s(s(s(s(n0)))))))))), n0))). % 3.39/1.85 tff(c_347, plain, (p(n0, s(s(s(s(s(s(n0))))))))). % 3.39/1.85 tff(c_333, plain, (p(s(s(n0)), s(s(s(s(s(n0)))))))). % 3.39/1.85 tff(c_319, plain, (p(s(s(s(s(n0)))), s(s(s(s(n0))))))). % 3.39/1.85 tff(c_128, plain, (p(s(s(s(s(s(s(n0)))))), s(s(s(n0)))))). % 3.39/1.85 tff(c_137, plain, (p(s(s(s(s(s(s(s(s(n0)))))))), n0))). % 3.39/1.85 tff(c_294, plain, (p(n0, s(s(s(s(s(n0)))))))). % 3.39/1.85 tff(c_268, plain, (p(s(s(n0)), s(s(s(s(n0))))))). % 3.39/1.85 tff(c_148, plain, (p(s(s(s(s(s(s(n0)))))), s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))). % 3.39/1.85 tff(c_160, plain, (p(s(s(s(s(n0)))), s(s(s(n0)))))). % 3.39/1.85 tff(c_169, plain, (p(s(s(s(s(s(s(n0)))))), n0))). % 3.39/1.85 tff(c_242, plain, (p(n0, s(s(s(s(n0))))))). % 3.39/1.85 tff(c_180, plain, (p(s(s(n0)), s(s(s(n0)))))). % 3.39/1.85 tff(c_189, plain, (p(s(s(s(s(n0)))), n0))). % 3.39/1.85 tff(c_200, plain, (p(n0, s(s(s(n0)))))). % 3.39/1.85 tff(c_209, plain, (p(s(s(n0)), n0))). % 3.39/1.85 tff(c_213, plain, (p(n0, s(n0)))). % 3.39/1.85 tff(c_208, plain, (p(n0, s(s(n0))))). % 3.39/1.85 tff(c_199, plain, (p(s(s(n0)), s(n0)))). % 3.39/1.85 tff(c_188, plain, (p(s(s(n0)), s(s(n0))))). % 3.39/1.85 tff(c_179, plain, (p(s(s(s(s(n0)))), s(n0)))). % 3.39/1.85 tff(c_168, plain, (p(s(s(s(s(n0)))), s(s(n0))))). % 3.39/1.85 tff(c_159, plain, (p(s(s(s(s(s(s(n0)))))), s(n0)))). % 3.39/1.85 tff(c_136, plain, (p(s(s(s(s(s(s(n0)))))), s(s(n0))))). % 3.39/1.85 tff(c_24, plain, (p(s(s(s(s(s(s(s(s(n0)))))))), s(s(s(s(s(s(s(s(s(s(n0))))))))))))). % 3.39/1.85 tff(c_127, plain, (p(s(s(s(s(s(s(s(s(n0)))))))), s(n0)))). % 3.39/1.85 tff(c_116, plain, (p(s(s(s(s(s(s(s(s(n0)))))))), s(s(n0))))). % 3.39/1.85 tff(c_107, plain, (p(s(s(s(s(s(s(s(s(s(s(n0)))))))))), s(n0)))). % 3.39/1.85 tff(c_95, plain, (p(s(s(s(s(s(s(s(s(s(s(n0)))))))))), s(s(n0))))). % 3.39/1.85 tff(c_83, plain, (p(s(s(s(s(s(s(s(s(s(s(n0)))))))))), s(s(s(n0)))))). % 3.39/1.85 tff(c_71, plain, (p(s(s(s(s(s(s(s(s(s(s(n0)))))))))), s(s(s(s(n0))))))). % 3.39/1.85 tff(c_59, plain, (p(s(s(s(s(s(s(s(s(s(s(n0)))))))))), s(s(s(s(s(n0)))))))). % 3.39/1.85 tff(c_47, plain, (p(s(s(s(s(s(s(s(s(s(s(n0)))))))))), s(s(s(s(s(s(n0))))))))). % 3.39/1.85 tff(c_35, plain, (p(s(s(s(s(s(s(s(s(s(s(n0)))))))))), s(s(s(s(s(s(s(n0)))))))))). % 3.39/1.85 tff(c_23, plain, (p(s(s(s(s(s(s(s(s(s(s(n0)))))))))), s(s(s(s(s(s(s(s(n0))))))))))). % 3.39/1.85 tff(c_2, plain, (p(s(s(s(s(s(s(s(s(s(s(n0)))))))))), s(s(s(s(s(s(s(s(s(n0)))))))))))). % 3.39/1.85 tff(c_6, plain, (![X_3, Y_4]: (~p(X_3, s(s(Y_4))) | p(X_3, s(Y_4))))). % 3.39/1.85 tff(c_4, plain, (![X_1, Y_2]: (~p(s(s(X_1)), Y_2) | p(X_1, s(Y_2))))). % 3.39/1.85 tff(c_8, plain, (![X_5, Y_6]: (~p(s(X_5), s(Y_6)) | p(s(X_5), Y_6)))). % 3.39/1.85 tff(c_10, plain, (~p(s(n0), n0))). % 3.39/1.85 % SZS output end Saturation for /export/starexec/sandbox2/benchmark/theBenchmark.p % 3.39/1.85 %------------------------------------------------------------------------------