%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LCL647+1.001 : TPTP v9.3.1. Released v4.0.0.
% 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 : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:12:17 AM UTC 2026
% Result : CounterSatisfiable 4.90s 2.77s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL647+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % 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
% 0.09/0.35 % Computer : n031.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 13:27:09 UTC 2026
% 0.09/0.35 % CPUTime :
% 4.90/2.77
% 4.90/2.77 % SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.90/2.77
% 4.90/2.77 % SZS output start Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.90/2.78 %$ r1 > p6 > p5 > p4 > p3 > p2 > p1 > #nlpp > #skF_9 > #skF_7 > #skF_5 > #skF_2 > #skF_4 > #skF_17 > #skF_15 > #skF_8 > #skF_16 > #skF_14 > #skF_10 > #skF_1 > #skF_13 > #skF_3 > #skF_11 > #skF_12 > #skF_6
% 4.90/2.78
% 4.90/2.78 %Foreground sorts:
% 4.90/2.78
% 4.90/2.78
% 4.90/2.78 %Background operators:
% 4.90/2.78
% 4.90/2.78
% 4.90/2.78 %Foreground operators:
% 4.90/2.78 tff('#skF_9', type, '#skF_9': $i > $i).
% 4.90/2.78 tff('#skF_7', type, '#skF_7': $i > $i).
% 4.90/2.78 tff('#skF_5', type, '#skF_5': $i > $i).
% 4.90/2.78 tff(p3, type, p3: $i > $o).
% 4.90/2.78 tff('#skF_2', type, '#skF_2': $i > $i).
% 4.90/2.78 tff('#skF_4', type, '#skF_4': $i > $i).
% 4.90/2.78 tff('#skF_17', type, '#skF_17': $i).
% 4.90/2.78 tff('#skF_15', type, '#skF_15': $i).
% 4.90/2.78 tff('#skF_8', type, '#skF_8': $i > $i).
% 4.90/2.78 tff('#skF_16', type, '#skF_16': $i).
% 4.90/2.78 tff('#skF_14', type, '#skF_14': $i).
% 4.90/2.78 tff('#skF_10', type, '#skF_10': $i > $i).
% 4.90/2.78 tff(p5, type, p5: $i > $o).
% 4.90/2.78 tff(p4, type, p4: $i > $o).
% 4.90/2.78 tff(p6, type, p6: $i > $o).
% 4.90/2.78 tff(r1, type, r1: ($i * $i) > $o).
% 4.90/2.78 tff('#skF_1', type, '#skF_1': $i).
% 4.90/2.78 tff(p2, type, p2: $i > $o).
% 4.90/2.78 tff('#skF_13', type, '#skF_13': $i > $i).
% 4.90/2.78 tff('#skF_3', type, '#skF_3': $i > $i).
% 4.90/2.78 tff('#skF_11', type, '#skF_11': $i > $i).
% 4.90/2.78 tff('#skF_12', type, '#skF_12': $i > $i).
% 4.90/2.78 tff(p1, type, p1: $i > $o).
% 4.90/2.78 tff('#skF_6', type, '#skF_6': $i > $i).
% 4.90/2.78
% 4.90/2.78 %Saturated clause set:
% 4.90/2.79 tff(c_337, plain, (![Y_134]: (p4('#skF_8'(Y_134)) | p5(Y_134) | ~r1('#skF_1', Y_134)))).
% 4.90/2.79 tff(c_388, plain, (![Y_142]: (p2('#skF_13'(Y_142)) | p1(Y_142) | ~r1('#skF_1', Y_142)))).
% 4.90/2.79 tff(c_389, plain, (![Y_142]: (p4('#skF_13'(Y_142)) | p1(Y_142) | ~r1('#skF_1', Y_142)))).
% 4.90/2.79 tff(c_390, plain, (![Y_142]: (p6('#skF_13'(Y_142)) | p1(Y_142) | ~r1('#skF_1', Y_142)))).
% 4.90/2.79 tff(c_391, plain, (![Y_142]: (p5('#skF_13'(Y_142)) | p1(Y_142) | ~r1('#skF_1', Y_142)))).
% 4.90/2.79 tff(c_339, plain, (![Y_134]: (p5('#skF_8'(Y_134)) | p5(Y_134) | ~r1('#skF_1', Y_134)))).
% 4.90/2.79 tff(c_28, plain, (![Y_87]: (r1(Y_87, '#skF_13'(Y_87)) | p1(Y_87) | ~r1('#skF_1', Y_87)))).
% 4.90/2.79 tff(c_360, plain, (![Y_136]: (p2('#skF_12'(Y_136)) | p1(Y_136) | ~r1('#skF_1', Y_136)))).
% 4.90/2.79 tff(c_336, plain, (![Y_134]: (p2('#skF_8'(Y_134)) | p5(Y_134) | ~r1('#skF_1', Y_134)))).
% 4.90/2.79 tff(c_361, plain, (![Y_136]: (p4('#skF_12'(Y_136)) | p1(Y_136) | ~r1('#skF_1', Y_136)))).
% 4.90/2.79 tff(c_362, plain, (![Y_136]: (p6('#skF_12'(Y_136)) | p1(Y_136) | ~r1('#skF_1', Y_136)))).
% 4.90/2.79 tff(c_363, plain, (![Y_136]: (p5('#skF_12'(Y_136)) | p1(Y_136) | ~r1('#skF_1', Y_136)))).
% 4.90/2.79 tff(c_32, plain, (![Y_85]: (r1(Y_85, '#skF_12'(Y_85)) | p1(Y_85) | ~r1('#skF_1', Y_85)))).
% 4.90/2.80 tff(c_338, plain, (![Y_134]: (p6('#skF_8'(Y_134)) | p5(Y_134) | ~r1('#skF_1', Y_134)))).
% 4.90/2.80 tff(c_316, plain, (p6('#skF_16'))).
% 4.90/2.80 tff(c_48, plain, (![Y_77]: (r1(Y_77, '#skF_8'(Y_77)) | p5(Y_77) | ~r1('#skF_1', Y_77)))).
% 4.90/2.80 tff(c_315, plain, (p6('#skF_17'))).
% 4.90/2.80 tff(c_314, plain, (p6('#skF_15'))).
% 4.90/2.80 tff(c_313, plain, (p6('#skF_14'))).
% 4.90/2.80 tff(c_284, plain, (![Y_132]: (p6(Y_132) | ~r1('#skF_1', Y_132)))).
% 5.30/2.80 tff(c_180, plain, (![Y_116]: (p2('#skF_10'(Y_116)) | p3(Y_116) | ~r1('#skF_1', Y_116)))).
% 5.30/2.80 tff(c_150, plain, (![Y_109]: (p4('#skF_11'(Y_109)) | p3(Y_109) | ~r1('#skF_1', Y_109)))).
% 5.30/2.80 tff(c_238, plain, (p4('#skF_16'))).
% 5.30/2.80 tff(c_236, plain, (p4('#skF_15'))).
% 5.30/2.80 tff(c_237, plain, (p4('#skF_17'))).
% 5.30/2.80 tff(c_235, plain, (p4('#skF_14'))).
% 5.30/2.80 tff(c_206, plain, (![Y_123]: (p4(Y_123) | ~r1('#skF_1', Y_123)))).
% 5.30/2.80 tff(c_181, plain, (![Y_116]: (p4('#skF_10'(Y_116)) | p3(Y_116) | ~r1('#skF_1', Y_116)))).
% 5.30/2.80 tff(c_183, plain, (![Y_116]: (p5('#skF_10'(Y_116)) | p3(Y_116) | ~r1('#skF_1', Y_116)))).
% 5.30/2.80 tff(c_182, plain, (![Y_116]: (p6('#skF_10'(Y_116)) | p3(Y_116) | ~r1('#skF_1', Y_116)))).
% 5.30/2.80 tff(c_152, plain, (![Y_109]: (p5('#skF_11'(Y_109)) | p3(Y_109) | ~r1('#skF_1', Y_109)))).
% 5.30/2.80 tff(c_151, plain, (![Y_109]: (p6('#skF_11'(Y_109)) | p3(Y_109) | ~r1('#skF_1', Y_109)))).
% 5.30/2.80 tff(c_40, plain, (![Y_81]: (r1(Y_81, '#skF_10'(Y_81)) | p3(Y_81) | ~r1('#skF_1', Y_81)))).
% 5.30/2.80 tff(c_162, plain, (![Y_110]: (p2('#skF_9'(Y_110)) | p5(Y_110) | ~r1('#skF_1', Y_110)))).
% 5.30/2.80 tff(c_165, plain, (![Y_110]: (p5('#skF_9'(Y_110)) | p5(Y_110) | ~r1('#skF_1', Y_110)))).
% 5.30/2.80 tff(c_164, plain, (![Y_110]: (p6('#skF_9'(Y_110)) | p5(Y_110) | ~r1('#skF_1', Y_110)))).
% 5.30/2.80 tff(c_163, plain, (![Y_110]: (p4('#skF_9'(Y_110)) | p5(Y_110) | ~r1('#skF_1', Y_110)))).
% 5.30/2.80 tff(c_149, plain, (![Y_109]: (p2('#skF_11'(Y_109)) | p3(Y_109) | ~r1('#skF_1', Y_109)))).
% 5.30/2.80 tff(c_44, plain, (![Y_79]: (r1(Y_79, '#skF_9'(Y_79)) | p5(Y_79) | ~r1('#skF_1', Y_79)))).
% 5.30/2.80 tff(c_36, plain, (![Y_83]: (r1(Y_83, '#skF_11'(Y_83)) | p3(Y_83) | ~r1('#skF_1', Y_83)))).
% 5.30/2.80 tff(c_30, plain, (![Y_85]: (~p3('#skF_12'(Y_85)) | p1(Y_85) | ~r1('#skF_1', Y_85)))).
% 5.30/2.80 tff(c_34, plain, (![Y_83]: (~p1('#skF_11'(Y_83)) | p3(Y_83) | ~r1('#skF_1', Y_83)))).
% 5.30/2.80 tff(c_42, plain, (![Y_79]: (~p1('#skF_9'(Y_79)) | p5(Y_79) | ~r1('#skF_1', Y_79)))).
% 5.30/2.80 tff(c_38, plain, (![Y_81]: (~p3('#skF_10'(Y_81)) | p3(Y_81) | ~r1('#skF_1', Y_81)))).
% 5.30/2.80 tff(c_18, plain, (![X_64, Y_62]: (p2(X_64) | ~r1(Y_62, X_64) | ~r1('#skF_1', Y_62)))).
% 5.30/2.80 tff(c_26, plain, (![Y_87]: (~p1('#skF_13'(Y_87)) | p1(Y_87) | ~r1('#skF_1', Y_87)))).
% 5.30/2.80 tff(c_20, plain, (![X_61, Y_59]: (p4(X_61) | ~r1(Y_59, X_61) | ~r1('#skF_1', Y_59)))).
% 5.30/2.81 tff(c_24, plain, (![X_55, Y_53]: (p6(X_55) | ~r1(Y_53, X_55) | ~r1('#skF_1', Y_53)))).
% 5.30/2.81 tff(c_84, plain, (~r1('#skF_1', '#skF_1'))).
% 5.30/2.81 tff(c_46, plain, (![Y_77]: (~p3('#skF_8'(Y_77)) | p5(Y_77) | ~r1('#skF_1', Y_77)))).
% 5.30/2.81 tff(c_22, plain, (![X_58, Y_56]: (p5(X_58) | ~r1(Y_56, X_58) | ~r1('#skF_1', Y_56)))).
% 5.30/2.81 tff(c_16, plain, (r1('#skF_1', '#skF_14'))).
% 5.30/2.81 tff(c_12, plain, (r1('#skF_1', '#skF_15'))).
% 5.30/2.81 tff(c_4, plain, (r1('#skF_1', '#skF_17'))).
% 5.30/2.81 tff(c_8, plain, (r1('#skF_1', '#skF_16'))).
% 5.30/2.81 tff(c_2, plain, (~p1('#skF_17'))).
% 5.30/2.81 tff(c_6, plain, (~p2('#skF_16'))).
% 5.30/2.81 tff(c_10, plain, (~p3('#skF_15'))).
% 5.30/2.81 tff(c_14, plain, (~p5('#skF_14'))).
% 5.30/2.81 % SZS output end Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.30/2.81
%------------------------------------------------------------------------------