TSTP Solution File: SYO664-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO664-1 : TPTP v8.1.2. Released v7.3.0.
% 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 : n017.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 11:18:19 EDT 2023
% Result : Unsatisfiable 4.02s 2.02s
% Output : CNFRefutation 4.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO664-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n017.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
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 3 15:15:21 EDT 2023
% 0.13/0.36 % CPUTime :
% 4.02/2.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.02/2.02
% 4.02/2.02 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.32/2.04 %$ iLEQ > LE > E > #nlpp > suc > s > f > z > 0
% 4.32/2.04
% 4.32/2.04 %Foreground sorts:
% 4.32/2.04
% 4.32/2.04
% 4.32/2.04 %Background operators:
% 4.32/2.04
% 4.32/2.04
% 4.32/2.04 %Foreground operators:
% 4.32/2.04 tff(iLEQ, type, iLEQ: ($i * $i) > $o).
% 4.32/2.04 tff(s, type, s: $i > $i).
% 4.32/2.04 tff(f, type, f: $i > $i).
% 4.32/2.04 tff(0, type, 0: $i).
% 4.32/2.04 tff(LE, type, LE: ($i * $i) > $o).
% 4.32/2.04 tff(suc, type, suc: $i > $i).
% 4.32/2.04 tff(z, type, z: $i).
% 4.32/2.04 tff(E, type, E: ($i * $i) > $o).
% 4.32/2.04
% 4.32/2.06 tff(f_118, axiom, (![A]: LE(f(A), s(s(0)))), file('unknown', unknown)).
% 4.32/2.06 tff(f_74, axiom, (![B_42]: ((~LE(f(B_42), s(s(0))) | E(s(0), f(B_42))) | LE(f(B_42), s(0)))), file('unknown', unknown)).
% 4.32/2.06 tff(f_140, axiom, (![B_60]: ((~LE(f(B_60), s(0)) | E(0, f(B_60))) | LE(f(B_60), 0))), file('unknown', unknown)).
% 4.32/2.06 tff(f_155, axiom, (![B_42]: ((~LE(f(suc(B_42)), s(s(0))) | E(s(0), f(suc(B_42)))) | LE(f(B_42), s(0)))), file('unknown', unknown)).
% 4.32/2.06 tff(f_148, axiom, (![A_1]: ((~E(s(0), f(A_1)) | ~E(s(0), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 4.32/2.06 tff(f_65, axiom, (![A_1, B_43, B_45, B_46, B_44]: (((((((((((((~E(s(0), f(suc(B_45))) | ~E(s(0), f(B_45))) | ~E(s(0), f(suc(B_46)))) | ~E(s(0), f(suc(B_43)))) | ~E(s(0), f(A_1))) | ~E(s(0), f(suc(A_1)))) | ~iLEQ(suc(A_1), suc(B_43))) | ~E(s(0), f(B_43))) | ~iLEQ(suc(B_44), suc(B_45))) | ~E(s(0), f(B_46))) | ~E(s(0), f(B_44))) | ~iLEQ(suc(B_45), suc(B_46))) | ~iLEQ(suc(B_43), suc(B_44))) | ~E(s(0), f(suc(B_44))))), file('unknown', unknown)).
% 4.32/2.06 tff(f_67, axiom, ~LE(f(z), 0), file('unknown', unknown)).
% 4.32/2.06 tff(f_133, axiom, (![B_60]: ((~LE(f(suc(B_60)), s(0)) | E(0, f(suc(B_60)))) | LE(f(B_60), 0))), file('unknown', unknown)).
% 4.32/2.06 tff(f_126, axiom, (![A_2]: ((~E(0, f(A_2)) | ~E(0, f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2)))), file('unknown', unknown)).
% 4.32/2.06 tff(f_116, axiom, (![B_63, B_64, B_62, B_61, A_2]: (((((((((((((~E(0, f(B_63)) | ~E(0, f(suc(B_61)))) | ~E(0, f(suc(A_2)))) | ~iLEQ(suc(A_2), suc(B_61))) | ~iLEQ(suc(B_61), suc(B_62))) | ~E(0, f(suc(B_63)))) | ~E(0, f(A_2))) | ~iLEQ(suc(B_62), suc(B_63))) | ~E(0, f(B_64))) | ~iLEQ(suc(B_63), suc(B_64))) | ~E(0, f(suc(B_62)))) | ~E(0, f(B_61))) | ~E(0, f(suc(B_64)))) | ~E(0, f(B_62)))), file('unknown', unknown)).
% 4.32/2.06 tff(c_10, plain, (![A_12]: (LE(f(A_12), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_118])).
% 4.32/2.06 tff(c_6, plain, (![B_42_6]: (LE(f(B_42_6), s(0)) | E(s(0), f(B_42_6)) | ~LE(f(B_42_6), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_74])).
% 4.32/2.06 tff(c_24, plain, (![B_42_6]: (LE(f(B_42_6), s(0)) | E(s(0), f(B_42_6)))), inference(demodulation, [status(thm), theory('equality')], [c_10, c_6])).
% 4.32/2.06 tff(c_28, plain, (![B_60_21]: (LE(f(B_60_21), 0) | E(0, f(B_60_21)) | ~LE(f(B_60_21), s(0)))), inference(cnfTransformation, [status(thm)], [f_140])).
% 4.32/2.06 tff(c_32, plain, (![B_42_6]: (LE(f(B_42_6), 0) | E(0, f(B_42_6)) | E(s(0), f(B_42_6)))), inference(resolution, [status(thm)], [c_24, c_28])).
% 4.32/2.06 tff(c_20, plain, (![B_42_17]: (LE(f(B_42_17), s(0)) | E(s(0), f(suc(B_42_17))) | ~LE(f(suc(B_42_17)), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_155])).
% 4.32/2.06 tff(c_22, plain, (![B_42_17]: (LE(f(B_42_17), s(0)) | E(s(0), f(suc(B_42_17))))), inference(demodulation, [status(thm), theory('equality')], [c_10, c_20])).
% 4.32/2.06 tff(c_41, plain, (![A_1_26]: (iLEQ(suc(A_1_26), suc(A_1_26)) | ~E(s(0), f(suc(A_1_26))) | ~E(s(0), f(A_1_26)))), inference(cnfTransformation, [status(thm)], [f_148])).
% 4.32/2.06 tff(c_51, plain, (![B_42_17]: (iLEQ(suc(B_42_17), suc(B_42_17)) | ~E(s(0), f(B_42_17)) | LE(f(B_42_17), s(0)))), inference(resolution, [status(thm)], [c_22, c_41])).
% 4.32/2.06 tff(c_81, plain, (![B_44_40, B_43_41, A_1_43, B_46_42, B_45_39]: (~E(s(0), f(suc(B_44_40))) | ~iLEQ(suc(B_43_41), suc(B_44_40)) | ~iLEQ(suc(B_45_39), suc(B_46_42)) | ~E(s(0), f(B_44_40)) | ~E(s(0), f(B_46_42)) | ~iLEQ(suc(B_44_40), suc(B_45_39)) | ~E(s(0), f(B_43_41)) | ~iLEQ(suc(A_1_43), suc(B_43_41)) | ~E(s(0), f(suc(A_1_43))) | ~E(s(0), f(A_1_43)) | ~E(s(0), f(suc(B_43_41))) | ~E(s(0), f(suc(B_46_42))) | ~E(s(0), f(B_45_39)) | ~E(s(0), f(suc(B_45_39))))), inference(cnfTransformation, [status(thm)], [f_65])).
% 4.32/2.06 tff(c_123, plain, (![B_46_50, B_42_52, B_45_54, A_1_53, B_43_51]: (~iLEQ(suc(B_43_51), suc(B_42_52)) | ~iLEQ(suc(B_45_54), suc(B_46_50)) | ~E(s(0), f(B_42_52)) | ~E(s(0), f(B_46_50)) | ~iLEQ(suc(B_42_52), suc(B_45_54)) | ~E(s(0), f(B_43_51)) | ~iLEQ(suc(A_1_53), suc(B_43_51)) | ~E(s(0), f(suc(A_1_53))) | ~E(s(0), f(A_1_53)) | ~E(s(0), f(suc(B_43_51))) | ~E(s(0), f(suc(B_46_50))) | ~E(s(0), f(B_45_54)) | ~E(s(0), f(suc(B_45_54))) | LE(f(B_42_52), s(0)))), inference(resolution, [status(thm)], [c_22, c_81])).
% 4.32/2.06 tff(c_133, plain, (![B_45_55, B_46_56, B_42_57, A_1_58]: (~iLEQ(suc(B_45_55), suc(B_46_56)) | ~E(s(0), f(B_46_56)) | ~iLEQ(suc(B_42_57), suc(B_45_55)) | ~iLEQ(suc(A_1_58), suc(B_42_57)) | ~E(s(0), f(suc(A_1_58))) | ~E(s(0), f(A_1_58)) | ~E(s(0), f(suc(B_42_57))) | ~E(s(0), f(suc(B_46_56))) | ~E(s(0), f(B_45_55)) | ~E(s(0), f(suc(B_45_55))) | ~E(s(0), f(B_42_57)) | LE(f(B_42_57), s(0)))), inference(resolution, [status(thm)], [c_51, c_123])).
% 4.32/2.06 tff(c_153, plain, (![B_42_64, B_42_65, A_1_66]: (~iLEQ(suc(B_42_64), suc(B_42_65)) | ~iLEQ(suc(A_1_66), suc(B_42_64)) | ~E(s(0), f(suc(A_1_66))) | ~E(s(0), f(A_1_66)) | ~E(s(0), f(suc(B_42_64))) | ~E(s(0), f(suc(B_42_65))) | ~E(s(0), f(B_42_64)) | LE(f(B_42_64), s(0)) | ~E(s(0), f(B_42_65)) | LE(f(B_42_65), s(0)))), inference(resolution, [status(thm)], [c_51, c_133])).
% 4.32/2.06 tff(c_163, plain, (![A_1_67, B_42_68]: (~iLEQ(suc(A_1_67), suc(B_42_68)) | ~E(s(0), f(suc(A_1_67))) | ~E(s(0), f(A_1_67)) | ~E(s(0), f(suc(B_42_68))) | ~E(s(0), f(B_42_68)) | LE(f(B_42_68), s(0)))), inference(resolution, [status(thm)], [c_51, c_153])).
% 4.32/2.06 tff(c_173, plain, (![B_42_69]: (~E(s(0), f(suc(B_42_69))) | ~E(s(0), f(B_42_69)) | LE(f(B_42_69), s(0)))), inference(resolution, [status(thm)], [c_51, c_163])).
% 4.32/2.06 tff(c_196, plain, (![B_42_75]: (~E(s(0), f(B_42_75)) | LE(f(B_42_75), s(0)))), inference(resolution, [status(thm)], [c_22, c_173])).
% 4.32/2.06 tff(c_16, plain, (![B_60_15]: (LE(f(B_60_15), 0) | E(0, f(B_60_15)) | ~LE(f(B_60_15), s(0)))), inference(cnfTransformation, [status(thm)], [f_140])).
% 4.32/2.06 tff(c_205, plain, (![B_42_76]: (LE(f(B_42_76), 0) | E(0, f(B_42_76)) | ~E(s(0), f(B_42_76)))), inference(resolution, [status(thm)], [c_196, c_16])).
% 4.32/2.06 tff(c_218, plain, (![B_42_77]: (LE(f(B_42_77), 0) | E(0, f(B_42_77)))), inference(resolution, [status(thm)], [c_32, c_205])).
% 4.32/2.06 tff(c_4, plain, (~LE(f(z), 0)), inference(cnfTransformation, [status(thm)], [f_67])).
% 4.32/2.06 tff(c_222, plain, (E(0, f(z))), inference(resolution, [status(thm)], [c_218, c_4])).
% 4.32/2.06 tff(c_35, plain, (![B_60_24]: (LE(f(B_60_24), 0) | E(0, f(suc(B_60_24))) | ~LE(f(suc(B_60_24)), s(0)))), inference(cnfTransformation, [status(thm)], [f_133])).
% 4.32/2.06 tff(c_39, plain, (![B_60_24]: (LE(f(B_60_24), 0) | E(0, f(suc(B_60_24))) | E(s(0), f(suc(B_60_24))))), inference(resolution, [status(thm)], [c_24, c_35])).
% 4.32/2.06 tff(c_14, plain, (![B_60_14]: (LE(f(B_60_14), 0) | E(0, f(suc(B_60_14))) | ~LE(f(suc(B_60_14)), s(0)))), inference(cnfTransformation, [status(thm)], [f_133])).
% 4.32/2.06 tff(c_223, plain, (![B_60_78]: (LE(f(B_60_78), 0) | E(0, f(suc(B_60_78))) | ~E(s(0), f(suc(B_60_78))))), inference(resolution, [status(thm)], [c_196, c_14])).
% 4.32/2.06 tff(c_232, plain, (![B_60_79]: (LE(f(B_60_79), 0) | E(0, f(suc(B_60_79))))), inference(resolution, [status(thm)], [c_39, c_223])).
% 4.32/2.06 tff(c_12, plain, (![A_2_13]: (iLEQ(suc(A_2_13), suc(A_2_13)) | ~E(0, f(suc(A_2_13))) | ~E(0, f(A_2_13)))), inference(cnfTransformation, [status(thm)], [f_126])).
% 4.32/2.06 tff(c_55, plain, (![B_63_30, B_62_32, B_64_34, A_2_33, B_61_31]: (~E(0, f(B_62_32)) | ~E(0, f(suc(B_64_34))) | ~E(0, f(B_61_31)) | ~E(0, f(suc(B_62_32))) | ~iLEQ(suc(B_63_30), suc(B_64_34)) | ~E(0, f(B_64_34)) | ~iLEQ(suc(B_62_32), suc(B_63_30)) | ~E(0, f(A_2_33)) | ~E(0, f(suc(B_63_30))) | ~iLEQ(suc(B_61_31), suc(B_62_32)) | ~iLEQ(suc(A_2_33), suc(B_61_31)) | ~E(0, f(suc(A_2_33))) | ~E(0, f(suc(B_61_31))) | ~E(0, f(B_63_30)))), inference(cnfTransformation, [status(thm)], [f_116])).
% 4.32/2.06 tff(c_68, plain, (![B_62_35, B_61_36, A_2_37, A_2_38]: (~E(0, f(B_62_35)) | ~E(0, f(B_61_36)) | ~E(0, f(suc(B_62_35))) | ~iLEQ(suc(B_62_35), suc(A_2_37)) | ~E(0, f(A_2_38)) | ~iLEQ(suc(B_61_36), suc(B_62_35)) | ~iLEQ(suc(A_2_38), suc(B_61_36)) | ~E(0, f(suc(A_2_38))) | ~E(0, f(suc(B_61_36))) | ~E(0, f(suc(A_2_37))) | ~E(0, f(A_2_37)))), inference(resolution, [status(thm)], [c_12, c_55])).
% 4.32/2.06 tff(c_92, plain, (![B_61_44, A_2_45, A_2_46]: (~E(0, f(B_61_44)) | ~E(0, f(A_2_45)) | ~iLEQ(suc(B_61_44), suc(A_2_46)) | ~iLEQ(suc(A_2_45), suc(B_61_44)) | ~E(0, f(suc(A_2_45))) | ~E(0, f(suc(B_61_44))) | ~E(0, f(suc(A_2_46))) | ~E(0, f(A_2_46)))), inference(resolution, [status(thm)], [c_12, c_68])).
% 4.32/2.06 tff(c_105, plain, (![A_2_47, A_2_48]: (~E(0, f(A_2_47)) | ~iLEQ(suc(A_2_47), suc(A_2_48)) | ~E(0, f(suc(A_2_47))) | ~E(0, f(suc(A_2_48))) | ~E(0, f(A_2_48)))), inference(resolution, [status(thm)], [c_12, c_92])).
% 4.32/2.06 tff(c_121, plain, (![A_2_13]: (~E(0, f(suc(A_2_13))) | ~E(0, f(A_2_13)))), inference(resolution, [status(thm)], [c_12, c_105])).
% 4.32/2.06 tff(c_237, plain, (![B_60_80]: (~E(0, f(B_60_80)) | LE(f(B_60_80), 0))), inference(resolution, [status(thm)], [c_232, c_121])).
% 4.32/2.06 tff(c_240, plain, (~E(0, f(z))), inference(resolution, [status(thm)], [c_237, c_4])).
% 4.32/2.06 tff(c_244, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_222, c_240])).
% 4.32/2.06 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.32/2.06
% 4.32/2.06 Inference rules
% 4.32/2.06 ----------------------
% 4.32/2.06 #Ref : 0
% 4.32/2.06 #Sup : 55
% 4.32/2.06 #Fact : 0
% 4.32/2.06 #Define : 0
% 4.32/2.06 #Split : 0
% 4.32/2.06 #Chain : 0
% 4.32/2.06 #Close : 0
% 4.32/2.06
% 4.32/2.06 Ordering : KBO
% 4.32/2.06
% 4.32/2.06 Simplification rules
% 4.32/2.06 ----------------------
% 4.32/2.06 #Subsume : 29
% 4.32/2.06 #Demod : 3
% 4.32/2.06 #Tautology : 8
% 4.32/2.06 #SimpNegUnit : 0
% 4.32/2.06 #BackRed : 0
% 4.32/2.06
% 4.32/2.06 #Partial instantiations: 0
% 4.32/2.06 #Strategies tried : 1
% 4.32/2.06
% 4.32/2.06 Timing (in seconds)
% 4.32/2.06 ----------------------
% 4.32/2.06 Preprocessing : 0.53
% 4.32/2.06 Parsing : 0.30
% 4.32/2.06 CNF conversion : 0.03
% 4.32/2.06 Main loop : 0.43
% 4.32/2.06 Inferencing : 0.17
% 4.32/2.06 Reduction : 0.08
% 4.32/2.06 Demodulation : 0.06
% 4.32/2.06 BG Simplification : 0.02
% 4.32/2.07 Subsumption : 0.15
% 4.32/2.07 Abstraction : 0.01
% 4.32/2.07 MUC search : 0.00
% 4.32/2.07 Cooper : 0.00
% 4.32/2.07 Total : 1.02
% 4.32/2.07 Index Insertion : 0.00
% 4.32/2.07 Index Deletion : 0.00
% 4.32/2.07 Index Matching : 0.00
% 4.32/2.07 BG Taut test : 0.00
%------------------------------------------------------------------------------