%------------------------------------------------------------------------------ % File : Beagle---0.9.52 % Problem : SWX205-1 : TPTP v9.3.0. Released v9.3.0. % 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 : n013.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 06:56:36 PM UTC 2026 % Result : Satisfiable 2.60s 1.64s % 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. % 0.11/0.13 % 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 % 0.15/0.34 % Computer : n013.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue May 5 11:32:10 EDT 2026 % 0.15/0.34 % CPUTime : % 2.60/1.63 % 2.60/1.64 % SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.60/1.64 % 2.60/1.64 % SZS output start Saturation for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.60/1.64 %$ impl > eq2 > eq > #nlpp > s > plus_ninf > z > btrue > bfalse % 2.60/1.64 % 2.60/1.64 %Foreground sorts: % 2.60/1.64 % 2.60/1.64 % 2.60/1.64 %Background operators: % 2.60/1.64 % 2.60/1.64 % 2.60/1.64 %Foreground operators: % 2.60/1.64 tff(eq, type, eq: ($i * $i) > $i). % 2.60/1.64 tff(s, type, s: $i > $i). % 2.60/1.64 tff(impl, type, impl: ($i * $i) > $i). % 2.60/1.64 tff(z, type, z: $i). % 2.60/1.64 tff(bfalse, type, bfalse: $i). % 2.60/1.64 tff(eq2, type, eq2: ($i * $i) > $i). % 2.60/1.64 tff(btrue, type, btrue: $i). % 2.60/1.64 tff(plus_ninf, type, plus_ninf: $i > $i). % 2.60/1.64 % 2.60/1.64 %Saturated clause set: % 2.60/1.64 tff(c_113, plain, (![Y_5]: (plus_ninf(s(Y_5))=plus_ninf(Y_5)))). % 2.60/1.64 tff(c_120, plain, (btrue!=bfalse)). % 2.60/1.64 tff(c_114, plain, (plus_ninf(z)=btrue)). % 2.60/1.64 tff(c_23, plain, (![X_3]: (impl(eq(s(X_3), X_3), bfalse)=plus_ninf(X_3)))). % 2.60/1.64 tff(c_12, plain, (![X_4, Y_5]: (eq(s(X_4), s(Y_5))=eq(X_4, Y_5)))). % 2.60/1.64 tff(c_16, plain, (![X_7]: (eq(s(X_7), z)=bfalse))). % 2.60/1.64 tff(c_22, plain, (![X_10]: (eq2(plus_ninf(X_10), bfalse)!=btrue))). % 2.60/1.65 tff(c_14, plain, (![X_6]: (eq(z, s(X_6))=bfalse))). % 2.60/1.65 tff(c_10, plain, (eq2(btrue, bfalse)=bfalse)). % 2.60/1.65 tff(c_18, plain, (![X_8]: (eq(X_8, X_8)=btrue))). % 2.60/1.65 tff(c_4, plain, (![Q_2]: (impl(bfalse, Q_2)=btrue))). % 2.60/1.65 tff(c_8, plain, (eq2(bfalse, btrue)=bfalse)). % 2.60/1.65 tff(c_2, plain, (![Q_1]: (impl(btrue, Q_1)=Q_1))). % 2.60/1.65 tff(c_20, plain, (![X_9]: (eq2(X_9, X_9)=btrue))). % 2.60/1.65 % SZS output end Saturation for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.60/1.65 %------------------------------------------------------------------------------