TSTP Solution File: ANA133-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ANA133-1 : TPTP v8.1.2. Released v8.1.0.
% 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 : n009.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 Aug 22 10:32:58 EDT 2023
% Result : Unsatisfiable 68.10s 53.54s
% Output : CNFRefutation 68.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : ANA133-1 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.15 % 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
% 0.13/0.36 % Computer : n009.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 3 15:21:23 EDT 2023
% 0.13/0.36 % CPUTime :
% 68.10/53.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 68.10/53.55
% 68.10/53.55 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 68.10/53.57 %$ times > + > #nlpp > sin > minus > d > cos > zero > x > one
% 68.10/53.57
% 68.10/53.57 %Foreground sorts:
% 68.10/53.57
% 68.10/53.57
% 68.10/53.57 %Background operators:
% 68.10/53.57
% 68.10/53.57
% 68.10/53.57 %Foreground operators:
% 68.10/53.57 tff(times, type, times: ($i * $i) > $i).
% 68.10/53.57 tff(x, type, x: $i).
% 68.10/53.57 tff(sin, type, sin: $i > $i).
% 68.10/53.57 tff(+, type, +: ($i * $i) > $i).
% 68.10/53.57 tff(d, type, d: $i > $i).
% 68.10/53.57 tff(cos, type, cos: $i > $i).
% 68.10/53.57 tff(one, type, one: $i).
% 68.10/53.57 tff(minus, type, minus: $i > $i).
% 68.10/53.57 tff(zero, type, zero: $i).
% 68.10/53.57
% 68.10/53.58 tff(f_53, axiom, (![T]: ~(d(T) = times(x, cos(x)))), file('unknown', unknown)).
% 68.10/53.58 tff(f_44, axiom, (![T, U]: (d(+(T, U)) = +(d(T), d(U)))), file('unknown', unknown)).
% 68.10/53.58 tff(f_23, axiom, (![X, Y]: (+(X, Y) = +(Y, X))), file('unknown', unknown)).
% 68.10/53.58 tff(f_35, axiom, (![X]: (times(one, X) = X)), file('unknown', unknown)).
% 68.10/53.58 tff(f_42, axiom, (d(x) = one), file('unknown', unknown)).
% 68.10/53.58 tff(f_27, axiom, (![X, Y]: (times(X, Y) = times(Y, X))), file('unknown', unknown)).
% 68.10/53.58 tff(f_50, axiom, (![T]: (d(cos(T)) = minus(times(sin(T), d(T))))), file('unknown', unknown)).
% 68.10/53.58 tff(f_48, axiom, (![T]: (d(sin(T)) = times(cos(T), d(T)))), file('unknown', unknown)).
% 68.10/53.58 tff(f_46, axiom, (![T, U]: (d(times(T, U)) = +(times(T, d(U)), times(U, d(T))))), file('unknown', unknown)).
% 68.10/53.58 tff(f_31, axiom, (![X]: (+(zero, X) = X)), file('unknown', unknown)).
% 68.10/53.58 tff(f_39, axiom, (![X]: (+(X, minus(X)) = zero)), file('unknown', unknown)).
% 68.10/53.58 tff(f_25, axiom, (![X, Y, Z]: (+(X, +(Y, Z)) = +(+(X, Y), Z))), file('unknown', unknown)).
% 68.10/53.58 tff(c_34, plain, (![T_24]: (times(x, cos(x))!=d(T_24))), inference(cnfTransformation, [status(thm)], [f_53])).
% 68.10/53.58 tff(c_26, plain, (![T_18, U_19]: (+(d(T_18), d(U_19))=d(+(T_18, U_19)))), inference(cnfTransformation, [status(thm)], [f_44])).
% 68.10/53.58 tff(c_2, plain, (![Y_2, X_1]: (+(Y_2, X_1)=+(X_1, Y_2))), inference(cnfTransformation, [status(thm)], [f_23])).
% 68.10/53.58 tff(c_14, plain, (![X_13]: (times(one, X_13)=X_13)), inference(cnfTransformation, [status(thm)], [f_35])).
% 68.10/53.58 tff(c_24, plain, (d(x)=one), inference(cnfTransformation, [status(thm)], [f_42])).
% 68.10/53.58 tff(c_6, plain, (![Y_7, X_6]: (times(Y_7, X_6)=times(X_6, Y_7))), inference(cnfTransformation, [status(thm)], [f_27])).
% 68.10/53.58 tff(c_32, plain, (![T_23]: (minus(times(sin(T_23), d(T_23)))=d(cos(T_23)))), inference(cnfTransformation, [status(thm)], [f_50])).
% 68.10/53.58 tff(c_369, plain, (![T_38]: (minus(times(d(T_38), sin(T_38)))=d(cos(T_38)))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_32])).
% 68.10/53.58 tff(c_390, plain, (minus(times(one, sin(x)))=d(cos(x))), inference(superposition, [status(thm), theory('equality')], [c_24, c_369])).
% 68.10/53.58 tff(c_396, plain, (minus(sin(x))=d(cos(x))), inference(demodulation, [status(thm), theory('equality')], [c_14, c_390])).
% 68.10/53.58 tff(c_184, plain, (![Y_32, X_33]: (times(Y_32, X_33)=times(X_33, Y_32))), inference(cnfTransformation, [status(thm)], [f_27])).
% 68.10/53.58 tff(c_233, plain, (![X_13]: (times(X_13, one)=X_13)), inference(superposition, [status(thm), theory('equality')], [c_14, c_184])).
% 68.10/53.58 tff(c_291, plain, (![T_36]: (times(cos(T_36), d(T_36))=d(sin(T_36)))), inference(cnfTransformation, [status(thm)], [f_48])).
% 68.10/53.58 tff(c_306, plain, (times(cos(x), one)=d(sin(x))), inference(superposition, [status(thm), theory('equality')], [c_24, c_291])).
% 68.10/53.58 tff(c_1323, plain, (d(sin(x))=cos(x)), inference(demodulation, [status(thm), theory('equality')], [c_233, c_306])).
% 68.10/53.58 tff(c_911, plain, (![T_50, U_51]: (+(times(T_50, d(U_51)), times(U_51, d(T_50)))=d(times(T_50, U_51)))), inference(cnfTransformation, [status(thm)], [f_46])).
% 68.10/53.58 tff(c_1076, plain, (![U_51]: (+(times(x, d(U_51)), times(U_51, one))=d(times(x, U_51)))), inference(superposition, [status(thm), theory('equality')], [c_24, c_911])).
% 68.10/53.58 tff(c_5542, plain, (![U_78]: (+(U_78, times(x, d(U_78)))=d(times(x, U_78)))), inference(demodulation, [status(thm), theory('equality')], [c_2, c_233, c_1076])).
% 68.10/53.58 tff(c_5765, plain, (+(sin(x), times(x, cos(x)))=d(times(x, sin(x)))), inference(superposition, [status(thm), theory('equality')], [c_1323, c_5542])).
% 68.10/53.58 tff(c_10, plain, (![X_11]: (+(zero, X_11)=X_11)), inference(cnfTransformation, [status(thm)], [f_31])).
% 68.10/53.58 tff(c_97, plain, (![Y_29, X_30]: (+(Y_29, X_30)=+(X_30, Y_29))), inference(cnfTransformation, [status(thm)], [f_23])).
% 68.10/53.58 tff(c_113, plain, (![Y_29]: (+(Y_29, zero)=Y_29)), inference(superposition, [status(thm), theory('equality')], [c_97, c_10])).
% 68.10/53.58 tff(c_18, plain, (![X_17]: (+(X_17, minus(X_17))=zero)), inference(cnfTransformation, [status(thm)], [f_39])).
% 68.10/53.58 tff(c_739, plain, (![X_44, Y_45, Z_46]: (+(+(X_44, Y_45), Z_46)=+(X_44, +(Y_45, Z_46)))), inference(cnfTransformation, [status(thm)], [f_25])).
% 68.10/53.58 tff(c_792, plain, (![X_17, Z_46]: (+(X_17, +(minus(X_17), Z_46))=+(zero, Z_46))), inference(superposition, [status(thm), theory('equality')], [c_18, c_739])).
% 68.10/53.58 tff(c_1496, plain, (![X_54, Z_55]: (+(X_54, +(minus(X_54), Z_55))=Z_55)), inference(demodulation, [status(thm), theory('equality')], [c_10, c_792])).
% 68.10/53.58 tff(c_1554, plain, (![X_54]: (minus(minus(X_54))=+(X_54, zero))), inference(superposition, [status(thm), theory('equality')], [c_18, c_1496])).
% 68.10/53.58 tff(c_1567, plain, (![X_56]: (minus(minus(X_56))=X_56)), inference(demodulation, [status(thm), theory('equality')], [c_113, c_1554])).
% 68.10/53.58 tff(c_807, plain, (![X_17, Z_46]: (+(X_17, +(minus(X_17), Z_46))=Z_46)), inference(demodulation, [status(thm), theory('equality')], [c_10, c_792])).
% 68.10/53.58 tff(c_1576, plain, (![X_56, Z_46]: (+(minus(X_56), +(X_56, Z_46))=Z_46)), inference(superposition, [status(thm), theory('equality')], [c_1567, c_807])).
% 68.10/53.58 tff(c_7386, plain, (![X_88, X_86, Y_87]: (+(X_88, +(X_86, Y_87))=+(X_86, +(Y_87, X_88)))), inference(superposition, [status(thm), theory('equality')], [c_2, c_739])).
% 68.10/53.58 tff(c_10791, plain, (![X_98, X_99]: (+(zero, +(X_98, X_99))=+(X_99, X_98))), inference(superposition, [status(thm), theory('equality')], [c_10, c_7386])).
% 68.10/53.58 tff(c_10880, plain, (![X_56, Z_46]: (+(+(X_56, Z_46), minus(X_56))=+(zero, Z_46))), inference(superposition, [status(thm), theory('equality')], [c_1576, c_10791])).
% 68.10/53.58 tff(c_10971, plain, (![X_56, Z_46]: (+(+(X_56, Z_46), minus(X_56))=Z_46)), inference(demodulation, [status(thm), theory('equality')], [c_10, c_10880])).
% 68.10/53.58 tff(c_178991, plain, (+(d(times(x, sin(x))), minus(sin(x)))=times(x, cos(x))), inference(superposition, [status(thm), theory('equality')], [c_5765, c_10971])).
% 68.10/53.58 tff(c_179025, plain, (d(+(cos(x), times(x, sin(x))))=times(x, cos(x))), inference(demodulation, [status(thm), theory('equality')], [c_26, c_2, c_396, c_178991])).
% 68.10/53.58 tff(c_179027, plain, $false, inference(negUnitSimplification, [status(thm)], [c_34, c_179025])).
% 68.10/53.58 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 68.10/53.58
% 68.10/53.58 Inference rules
% 68.10/53.58 ----------------------
% 68.10/53.58 #Ref : 0
% 68.10/53.58 #Sup : 45989
% 68.10/53.58 #Fact : 0
% 68.10/53.58 #Define : 0
% 68.10/53.58 #Split : 0
% 68.10/53.58 #Chain : 0
% 68.10/53.58 #Close : 0
% 68.10/53.58
% 68.10/53.58 Ordering : KBO
% 68.10/53.58
% 68.10/53.58 Simplification rules
% 68.10/53.58 ----------------------
% 68.10/53.58 #Subsume : 1468
% 68.10/53.58 #Demod : 81108
% 68.10/53.58 #Tautology : 8809
% 68.10/53.58 #SimpNegUnit : 1
% 68.10/53.58 #BackRed : 34
% 68.10/53.58
% 68.10/53.58 #Partial instantiations: 0
% 68.10/53.58 #Strategies tried : 1
% 68.10/53.58
% 68.10/53.58 Timing (in seconds)
% 68.10/53.58 ----------------------
% 68.10/53.59 Preprocessing : 0.46
% 68.10/53.59 Parsing : 0.25
% 68.10/53.59 CNF conversion : 0.02
% 68.10/53.59 Main loop : 51.97
% 68.10/53.59 Inferencing : 3.01
% 68.10/53.59 Reduction : 35.38
% 68.10/53.59 Demodulation : 33.12
% 68.10/53.59 BG Simplification : 0.36
% 68.10/53.59 Subsumption : 9.80
% 68.10/53.59 Abstraction : 0.72
% 68.10/53.59 MUC search : 0.00
% 68.10/53.59 Cooper : 0.00
% 68.10/53.59 Total : 52.49
% 68.10/53.59 Index Insertion : 0.00
% 68.10/53.59 Index Deletion : 0.00
% 68.10/53.59 Index Matching : 0.00
% 68.10/53.59 BG Taut test : 0.00
%------------------------------------------------------------------------------