TSTP Solution File: SYO633-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% 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 : n008.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 11:18:16 EDT 2023
% Result : Unsatisfiable 3.07s 1.75s
% Output : CNFRefutation 3.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO633-1 : TPTP v8.1.2. Released v7.1.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 15:46:19 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.07/1.75 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.07/1.76
% 3.07/1.76 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.07/1.78 %$ LEQ > E > AP > #nlpp > s > f > 0
% 3.07/1.78
% 3.07/1.78 %Foreground sorts:
% 3.07/1.78
% 3.07/1.78
% 3.07/1.78 %Background operators:
% 3.07/1.78
% 3.07/1.78
% 3.07/1.78 %Foreground operators:
% 3.07/1.78 tff(s, type, s: $i > $i).
% 3.07/1.78 tff(AP, type, AP: ($i * $i) > $i).
% 3.07/1.78 tff(f, type, f: $i > $i).
% 3.07/1.78 tff(0, type, 0: $i).
% 3.07/1.78 tff(LEQ, type, LEQ: ($i * $i) > $o).
% 3.07/1.78 tff(E, type, E: ($i * $i) > $o).
% 3.07/1.78
% 3.21/1.80 tff(f_68, axiom, (![B_0]: E(f(B_0), s(s(s(s(0)))))), file('unknown', unknown)).
% 3.21/1.80 tff(f_70, axiom, (![B]: E(f(B), s(s(s(s(s(0))))))), file('unknown', unknown)).
% 3.21/1.80 tff(f_113, axiom, (![A_0, B_0]: ((~E(f(A_0), s(s(s(s(0))))) | ~E(f(B_0), s(s(s(s(s(0))))))) | E(f(B_0), s(s(s(0)))))), file('unknown', unknown)).
% 3.21/1.80 tff(f_66, axiom, (![A_1, A_0, B_0, A_4, A_3, A_2]: (((((~E(f(A_2), s(s(0))) | ~E(f(A_0), s(s(s(s(0)))))) | ~E(f(A_1), s(s(s(0))))) | ~E(f(A_3), s(0))) | ~E(f(A_4), 0)) | ~E(f(B_0), s(s(s(s(s(0)))))))), file('unknown', unknown)).
% 3.21/1.80 tff(f_132, axiom, (![A_0, B_0, A_1, K]: (((~E(f(A_0), s(s(s(s(0))))) | ~E(f(B_0), s(s(s(s(s(0))))))) | ~E(f(A_1), s(s(s(0))))) | E(f(AP(s(s(s(s(s(s(0)))))), K)), s(s(0))))), file('unknown', unknown)).
% 3.21/1.80 tff(f_105, axiom, (![A_1, A_0, B_0, A_2, K]: ((((~E(f(A_0), s(s(s(s(0))))) | ~E(f(B_0), s(s(s(s(s(0))))))) | ~E(f(A_1), s(s(s(0))))) | ~E(f(A_2), s(s(0)))) | E(f(AP(s(s(s(s(s(s(0)))))), K)), s(0)))), file('unknown', unknown)).
% 3.21/1.80 tff(f_89, axiom, (![A_1, A_0, B_0, A_3, A_2, K]: (((((~E(f(A_2), s(s(0))) | ~E(f(A_0), s(s(s(s(0)))))) | ~E(f(A_1), s(s(s(0))))) | ~E(f(A_3), s(0))) | ~E(f(B_0), s(s(s(s(s(0))))))) | E(f(AP(s(s(s(s(s(s(0)))))), K)), 0))), file('unknown', unknown)).
% 3.21/1.80 tff(c_8, plain, (![B_0_16]: (E(f(B_0_16), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_68])).
% 3.21/1.80 tff(c_10, plain, (![B_17]: (E(f(B_17), s(s(s(s(s(0)))))))), inference(cnfTransformation, [status(thm)], [f_70])).
% 3.21/1.80 tff(c_20, plain, (![B_0_34, A_0_33]: (E(f(B_0_34), s(s(s(0)))) | ~E(f(B_0_34), s(s(s(s(s(0)))))) | ~E(f(A_0_33), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_113])).
% 3.21/1.80 tff(c_28, plain, (![B_0_34, A_0_33]: (E(f(B_0_34), s(s(s(0)))) | ~E(f(A_0_33), s(s(s(s(0))))))), inference(demodulation, [status(thm), theory('equality')], [c_10, c_20])).
% 3.21/1.80 tff(c_40, plain, (![B_0_34]: (E(f(B_0_34), s(s(s(0)))))), inference(demodulation, [status(thm), theory('equality')], [c_8, c_28])).
% 3.21/1.80 tff(c_6, plain, (![A_4_13, B_0_12, A_1_10, A_0_11, A_2_15, A_3_14]: (~E(f(B_0_12), s(s(s(s(s(0)))))) | ~E(f(A_4_13), 0) | ~E(f(A_3_14), s(0)) | ~E(f(A_1_10), s(s(s(0)))) | ~E(f(A_0_11), s(s(s(s(0))))) | ~E(f(A_2_15), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_66])).
% 3.21/1.80 tff(c_60, plain, (![A_4_13, A_3_14, A_2_15]: (~E(f(A_4_13), 0) | ~E(f(A_3_14), s(0)) | ~E(f(A_2_15), s(s(0))))), inference(demodulation, [status(thm), theory('equality')], [c_8, c_40, c_10, c_6])).
% 3.21/1.80 tff(c_73, plain, (![A_2_15]: (~E(f(A_2_15), s(s(0))))), inference(splitLeft, [status(thm)], [c_60])).
% 3.21/1.80 tff(c_24, plain, (![K_41, A_1_40, B_0_39, A_0_38]: (E(f(AP(s(s(s(s(s(s(0)))))), K_41)), s(s(0))) | ~E(f(A_1_40), s(s(s(0)))) | ~E(f(B_0_39), s(s(s(s(s(0)))))) | ~E(f(A_0_38), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_132])).
% 3.21/1.80 tff(c_34, plain, (![K_41, A_1_40, A_0_38]: (E(f(AP(s(s(s(s(s(s(0)))))), K_41)), s(s(0))) | ~E(f(A_1_40), s(s(s(0)))) | ~E(f(A_0_38), s(s(s(s(0))))))), inference(demodulation, [status(thm), theory('equality')], [c_10, c_24])).
% 3.21/1.80 tff(c_46, plain, (![K_41, A_1_40]: (E(f(AP(s(s(s(s(s(s(0)))))), K_41)), s(s(0))) | ~E(f(A_1_40), s(s(s(0)))))), inference(demodulation, [status(thm), theory('equality')], [c_8, c_34])).
% 3.21/1.80 tff(c_54, plain, (![K_41]: (E(f(AP(s(s(s(s(s(s(0)))))), K_41)), s(s(0))))), inference(demodulation, [status(thm), theory('equality')], [c_40, c_46])).
% 3.21/1.80 tff(c_76, plain, $false, inference(negUnitSimplification, [status(thm)], [c_73, c_54])).
% 3.21/1.80 tff(c_77, plain, (![A_4_13, A_3_14]: (~E(f(A_4_13), 0) | ~E(f(A_3_14), s(0)))), inference(splitRight, [status(thm)], [c_60])).
% 3.21/1.80 tff(c_78, plain, (![A_3_14]: (~E(f(A_3_14), s(0)))), inference(splitLeft, [status(thm)], [c_77])).
% 3.21/1.80 tff(c_18, plain, (![K_32, A_1_28, A_0_29, B_0_30, A_2_31]: (E(f(AP(s(s(s(s(s(s(0)))))), K_32)), s(0)) | ~E(f(A_2_31), s(s(0))) | ~E(f(A_1_28), s(s(s(0)))) | ~E(f(B_0_30), s(s(s(s(s(0)))))) | ~E(f(A_0_29), s(s(s(s(0))))))), inference(cnfTransformation, [status(thm)], [f_105])).
% 3.21/1.80 tff(c_32, plain, (![K_32, A_2_31, A_1_28, A_0_29]: (E(f(AP(s(s(s(s(s(s(0)))))), K_32)), s(0)) | ~E(f(A_2_31), s(s(0))) | ~E(f(A_1_28), s(s(s(0)))) | ~E(f(A_0_29), s(s(s(s(0))))))), inference(demodulation, [status(thm), theory('equality')], [c_10, c_18])).
% 3.21/1.80 tff(c_44, plain, (![K_32, A_2_31, A_1_28]: (E(f(AP(s(s(s(s(s(s(0)))))), K_32)), s(0)) | ~E(f(A_2_31), s(s(0))) | ~E(f(A_1_28), s(s(s(0)))))), inference(demodulation, [status(thm), theory('equality')], [c_8, c_32])).
% 3.21/1.80 tff(c_52, plain, (![K_32, A_2_31]: (E(f(AP(s(s(s(s(s(s(0)))))), K_32)), s(0)) | ~E(f(A_2_31), s(s(0))))), inference(demodulation, [status(thm), theory('equality')], [c_40, c_44])).
% 3.21/1.80 tff(c_80, plain, (![A_2_31]: (~E(f(A_2_31), s(s(0))))), inference(negUnitSimplification, [status(thm)], [c_78, c_52])).
% 3.21/1.80 tff(c_82, plain, $false, inference(negUnitSimplification, [status(thm)], [c_80, c_54])).
% 3.21/1.80 tff(c_83, plain, (![A_4_13]: (~E(f(A_4_13), 0))), inference(splitRight, [status(thm)], [c_77])).
% 3.21/1.80 tff(c_14, plain, (![A_3_23, A_0_21, K_25, B_0_22, A_1_20, A_2_24]: (E(f(AP(s(s(s(s(s(s(0)))))), K_25)), 0) | ~E(f(B_0_22), s(s(s(s(s(0)))))) | ~E(f(A_3_23), s(0)) | ~E(f(A_1_20), s(s(s(0)))) | ~E(f(A_0_21), s(s(s(s(0))))) | ~E(f(A_2_24), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_89])).
% 3.21/1.80 tff(c_36, plain, (![A_3_23, A_0_21, K_25, A_1_20, A_2_24]: (E(f(AP(s(s(s(s(s(s(0)))))), K_25)), 0) | ~E(f(A_3_23), s(0)) | ~E(f(A_1_20), s(s(s(0)))) | ~E(f(A_0_21), s(s(s(s(0))))) | ~E(f(A_2_24), s(s(0))))), inference(demodulation, [status(thm), theory('equality')], [c_10, c_14])).
% 3.21/1.80 tff(c_48, plain, (![K_25, A_3_23, A_1_20, A_2_24]: (E(f(AP(s(s(s(s(s(s(0)))))), K_25)), 0) | ~E(f(A_3_23), s(0)) | ~E(f(A_1_20), s(s(s(0)))) | ~E(f(A_2_24), s(s(0))))), inference(demodulation, [status(thm), theory('equality')], [c_8, c_36])).
% 3.21/1.80 tff(c_56, plain, (![K_25, A_3_23, A_2_24]: (E(f(AP(s(s(s(s(s(s(0)))))), K_25)), 0) | ~E(f(A_3_23), s(0)) | ~E(f(A_2_24), s(s(0))))), inference(demodulation, [status(thm), theory('equality')], [c_40, c_48])).
% 3.21/1.80 tff(c_95, plain, (![A_3_23, A_2_24]: (~E(f(A_3_23), s(0)) | ~E(f(A_2_24), s(s(0))))), inference(negUnitSimplification, [status(thm)], [c_83, c_56])).
% 3.21/1.80 tff(c_96, plain, (![A_2_24]: (~E(f(A_2_24), s(s(0))))), inference(splitLeft, [status(thm)], [c_95])).
% 3.21/1.80 tff(c_98, plain, $false, inference(negUnitSimplification, [status(thm)], [c_96, c_54])).
% 3.21/1.80 tff(c_99, plain, (![A_3_23]: (~E(f(A_3_23), s(0)))), inference(splitRight, [status(thm)], [c_95])).
% 3.21/1.80 tff(c_85, plain, (![A_2_31]: (~E(f(A_2_31), s(s(0))))), inference(splitLeft, [status(thm)], [c_52])).
% 3.21/1.80 tff(c_87, plain, $false, inference(negUnitSimplification, [status(thm)], [c_85, c_54])).
% 3.21/1.80 tff(c_88, plain, (![K_32]: (E(f(AP(s(s(s(s(s(s(0)))))), K_32)), s(0)))), inference(splitRight, [status(thm)], [c_52])).
% 3.21/1.80 tff(c_101, plain, $false, inference(negUnitSimplification, [status(thm)], [c_99, c_88])).
% 3.21/1.80 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.21/1.80
% 3.21/1.80 Inference rules
% 3.21/1.80 ----------------------
% 3.21/1.80 #Ref : 0
% 3.21/1.80 #Sup : 0
% 3.21/1.80 #Fact : 0
% 3.21/1.80 #Define : 0
% 3.21/1.80 #Split : 6
% 3.21/1.80 #Chain : 0
% 3.21/1.80 #Close : 0
% 3.21/1.80
% 3.21/1.80 Ordering : KBO
% 3.21/1.80
% 3.21/1.80 Simplification rules
% 3.21/1.80 ----------------------
% 3.21/1.80 #Subsume : 0
% 3.21/1.80 #Demod : 25
% 3.21/1.80 #Tautology : 0
% 3.21/1.80 #SimpNegUnit : 8
% 3.21/1.80 #BackRed : 6
% 3.21/1.80
% 3.21/1.80 #Partial instantiations: 0
% 3.21/1.80 #Strategies tried : 1
% 3.21/1.80
% 3.21/1.80 Timing (in seconds)
% 3.21/1.80 ----------------------
% 3.21/1.80 Preprocessing : 0.52
% 3.21/1.80 Parsing : 0.28
% 3.21/1.80 CNF conversion : 0.03
% 3.21/1.80 Main loop : 0.22
% 3.21/1.80 Inferencing : 0.05
% 3.21/1.80 Reduction : 0.08
% 3.21/1.80 Demodulation : 0.06
% 3.21/1.80 BG Simplification : 0.02
% 3.21/1.80 Subsumption : 0.05
% 3.21/1.80 Abstraction : 0.01
% 3.21/1.80 MUC search : 0.00
% 3.21/1.80 Cooper : 0.00
% 3.21/1.81 Total : 0.80
% 3.21/1.81 Index Insertion : 0.00
% 3.21/1.81 Index Deletion : 0.00
% 3.21/1.81 Index Matching : 0.00
% 3.21/1.81 BG Taut test : 0.00
%------------------------------------------------------------------------------