TSTP Solution File: SYO652-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO652-1 : 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/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 : n031.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 11:18:18 EDT 2023
% Result : Unsatisfiable 6.09s 2.36s
% Output : CNFRefutation 6.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SYO652-1 : TPTP v8.1.2. Released v7.3.0.
% 0.13/0.15 % 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
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 16:22:29 EDT 2023
% 0.15/0.37 % CPUTime :
% 6.09/2.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.09/2.37
% 6.09/2.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.09/2.38 %$ iLEQ > LE > E > #nlpp > suc > s > f > z > 0
% 6.09/2.38
% 6.09/2.38 %Foreground sorts:
% 6.09/2.38
% 6.09/2.38
% 6.09/2.38 %Background operators:
% 6.09/2.38
% 6.09/2.38
% 6.09/2.38 %Foreground operators:
% 6.09/2.38 tff(iLEQ, type, iLEQ: ($i * $i) > $o).
% 6.09/2.38 tff(s, type, s: $i > $i).
% 6.09/2.38 tff(f, type, f: $i > $i).
% 6.09/2.38 tff(0, type, 0: $i).
% 6.09/2.38 tff(LE, type, LE: ($i * $i) > $o).
% 6.09/2.38 tff(suc, type, suc: $i > $i).
% 6.09/2.38 tff(z, type, z: $i).
% 6.09/2.38 tff(E, type, E: ($i * $i) > $o).
% 6.09/2.38
% 6.32/2.40 tff(f_231, axiom, (![A]: LE(f(A), s(0))), file('unknown', unknown)).
% 6.32/2.40 tff(f_453, axiom, (![B_10]: ((~LE(f(B_10), s(0)) | E(0, f(B_10))) | LE(f(B_10), 0))), file('unknown', unknown)).
% 6.32/2.40 tff(f_556, axiom, ~LE(f(z), 0), file('unknown', unknown)).
% 6.32/2.40 tff(f_238, axiom, (![B_10]: ((~LE(f(suc(B_10)), s(0)) | E(0, f(suc(B_10)))) | LE(f(B_10), 0))), file('unknown', unknown)).
% 6.32/2.40 tff(f_509, axiom, (![B_10]: ((~LE(f(suc(suc(B_10))), s(0)) | E(0, f(suc(suc(B_10))))) | LE(f(B_10), 0))), file('unknown', unknown)).
% 6.32/2.40 tff(f_803, axiom, (![A_1]: (((~E(0, f(A_1)) | ~E(0, f(suc(A_1)))) | E(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 6.32/2.40 tff(f_180, axiom, (![A_1]: ((((~E(0, f(suc(suc(A_1)))) | ~E(0, f(suc(A_1)))) | ~E(f(A_1), f(suc(A_1)))) | ~E(0, f(A_1))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 6.32/2.40 tff(f_166, axiom, (![B_11, B_12, B_13, A_1]: ((((((((((((((~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13))) | ~E(0, f(suc(A_1)))) | ~E(0, f(B_11))) | ~E(0, f(A_1))) | ~E(0, f(B_13))) | ~E(0, f(suc(B_12)))) | ~iLEQ(suc(A_1), suc(B_11))) | ~E(0, f(suc(B_13)))) | ~E(0, f(B_12))) | ~iLEQ(suc(B_11), suc(B_12))) | E(f(A_1), f(suc(A_1)))) | E(f(B_11), f(suc(B_11)))) | E(f(B_12), f(suc(B_12)))) | E(f(B_13), f(suc(B_13))))), file('unknown', unknown)).
% 6.32/2.40 tff(f_446, axiom, (![B_11, B_12, B_13, A_1]: ((((((((((((((((((~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13))) | ~E(0, f(suc(suc(B_11))))) | ~E(0, f(suc(A_1)))) | ~E(0, f(suc(suc(A_1))))) | ~E(0, f(B_11))) | ~E(0, f(A_1))) | ~E(0, f(B_13))) | ~E(0, f(suc(B_12)))) | ~E(f(B_12), f(suc(B_12)))) | ~E(0, f(suc(suc(B_12))))) | ~E(f(A_1), f(suc(A_1)))) | ~E(f(B_11), f(suc(B_11)))) | ~iLEQ(suc(A_1), suc(B_11))) | ~E(0, f(suc(B_13)))) | ~E(0, f(B_12))) | ~E(0, f(suc(suc(B_13))))) | ~E(f(B_13), f(suc(B_13)))) | ~iLEQ(suc(B_11), suc(B_12)))), file('unknown', unknown)).
% 6.32/2.40 tff(c_12, plain, (![A_18]: (LE(f(A_18), s(0)))), inference(cnfTransformation, [status(thm)], [f_231])).
% 6.32/2.40 tff(c_24, plain, (![B_10_36]: (LE(f(B_10_36), 0) | E(0, f(B_10_36)) | ~LE(f(B_10_36), s(0)))), inference(cnfTransformation, [status(thm)], [f_453])).
% 6.32/2.40 tff(c_54, plain, (![B_10_72]: (LE(f(B_10_72), 0) | E(0, f(B_10_72)))), inference(demodulation, [status(thm), theory('equality')], [c_12, c_24])).
% 6.32/2.40 tff(c_32, plain, (~LE(f(z), 0)), inference(cnfTransformation, [status(thm)], [f_556])).
% 6.32/2.40 tff(c_58, plain, (E(0, f(z))), inference(resolution, [status(thm)], [c_54, c_32])).
% 6.32/2.40 tff(c_14, plain, (![B_10_19]: (LE(f(B_10_19), 0) | E(0, f(suc(B_10_19))) | ~LE(f(suc(B_10_19)), s(0)))), inference(cnfTransformation, [status(thm)], [f_238])).
% 6.32/2.40 tff(c_48, plain, (![B_10_19]: (LE(f(B_10_19), 0) | E(0, f(suc(B_10_19))))), inference(demodulation, [status(thm), theory('equality')], [c_12, c_14])).
% 6.32/2.40 tff(c_28, plain, (![B_10_41]: (LE(f(B_10_41), 0) | E(0, f(suc(suc(B_10_41)))) | ~LE(f(suc(suc(B_10_41))), s(0)))), inference(cnfTransformation, [status(thm)], [f_509])).
% 6.32/2.40 tff(c_52, plain, (![B_10_41]: (LE(f(B_10_41), 0) | E(0, f(suc(suc(B_10_41)))))), inference(demodulation, [status(thm), theory('equality')], [c_12, c_28])).
% 6.32/2.40 tff(c_44, plain, (![A_1_66]: (iLEQ(suc(A_1_66), suc(A_1_66)) | E(f(A_1_66), f(suc(A_1_66))) | ~E(0, f(suc(A_1_66))) | ~E(0, f(A_1_66)))), inference(cnfTransformation, [status(thm)], [f_803])).
% 6.32/2.40 tff(c_62, plain, (![A_1_76]: (iLEQ(suc(A_1_76), suc(A_1_76)) | ~E(0, f(A_1_76)) | ~E(f(A_1_76), f(suc(A_1_76))) | ~E(0, f(suc(A_1_76))) | ~E(0, f(suc(suc(A_1_76)))))), inference(cnfTransformation, [status(thm)], [f_180])).
% 6.32/2.40 tff(c_67, plain, (![A_1_77]: (~E(0, f(suc(suc(A_1_77)))) | iLEQ(suc(A_1_77), suc(A_1_77)) | ~E(0, f(suc(A_1_77))) | ~E(0, f(A_1_77)))), inference(resolution, [status(thm)], [c_44, c_62])).
% 6.32/2.40 tff(c_73, plain, (![B_10_41]: (iLEQ(suc(B_10_41), suc(B_10_41)) | ~E(0, f(suc(B_10_41))) | ~E(0, f(B_10_41)) | LE(f(B_10_41), 0))), inference(resolution, [status(thm)], [c_52, c_67])).
% 6.32/2.40 tff(c_76, plain, (![B_10_82]: (iLEQ(suc(B_10_82), suc(B_10_82)) | ~E(0, f(suc(B_10_82))) | ~E(0, f(B_10_82)) | LE(f(B_10_82), 0))), inference(resolution, [status(thm)], [c_52, c_67])).
% 6.32/2.40 tff(c_6, plain, (![B_13_11, B_12_10, B_11_9, A_1_12]: (E(f(B_13_11), f(suc(B_13_11))) | E(f(B_12_10), f(suc(B_12_10))) | E(f(B_11_9), f(suc(B_11_9))) | E(f(A_1_12), f(suc(A_1_12))) | ~iLEQ(suc(B_11_9), suc(B_12_10)) | ~E(0, f(B_12_10)) | ~E(0, f(suc(B_13_11))) | ~iLEQ(suc(A_1_12), suc(B_11_9)) | ~E(0, f(suc(B_12_10))) | ~E(0, f(B_13_11)) | ~E(0, f(A_1_12)) | ~E(0, f(B_11_9)) | ~E(0, f(suc(A_1_12))) | ~iLEQ(suc(B_12_10), suc(B_13_11)) | ~E(0, f(suc(B_11_9))))), inference(cnfTransformation, [status(thm)], [f_166])).
% 6.32/2.40 tff(c_84, plain, (![B_13_84, B_10_85, A_1_86]: (E(f(B_13_84), f(suc(B_13_84))) | E(f(B_10_85), f(suc(B_10_85))) | E(f(A_1_86), f(suc(A_1_86))) | ~E(0, f(suc(B_13_84))) | ~iLEQ(suc(A_1_86), suc(B_10_85)) | ~E(0, f(B_13_84)) | ~E(0, f(A_1_86)) | ~E(0, f(suc(A_1_86))) | ~iLEQ(suc(B_10_85), suc(B_13_84)) | ~E(0, f(suc(B_10_85))) | ~E(0, f(B_10_85)) | LE(f(B_10_85), 0))), inference(resolution, [status(thm)], [c_76, c_6])).
% 6.32/2.40 tff(c_91, plain, (![B_13_87, B_10_88]: (E(f(B_13_87), f(suc(B_13_87))) | E(f(B_10_88), f(suc(B_10_88))) | ~E(0, f(suc(B_13_87))) | ~E(0, f(B_13_87)) | ~iLEQ(suc(B_10_88), suc(B_13_87)) | ~E(0, f(suc(B_10_88))) | ~E(0, f(B_10_88)) | LE(f(B_10_88), 0))), inference(resolution, [status(thm)], [c_73, c_84])).
% 6.32/2.40 tff(c_97, plain, (![B_10_41]: (E(f(B_10_41), f(suc(B_10_41))) | ~E(0, f(suc(B_10_41))) | ~E(0, f(B_10_41)) | LE(f(B_10_41), 0))), inference(resolution, [status(thm)], [c_73, c_91])).
% 6.32/2.40 tff(c_290, plain, (![B_11_176, B_12_177, B_13_178, A_1_179]: (~iLEQ(suc(B_11_176), suc(B_12_177)) | ~E(f(B_13_178), f(suc(B_13_178))) | ~E(0, f(suc(suc(B_13_178)))) | ~E(0, f(B_12_177)) | ~E(0, f(suc(B_13_178))) | ~iLEQ(suc(A_1_179), suc(B_11_176)) | ~E(f(B_11_176), f(suc(B_11_176))) | ~E(f(A_1_179), f(suc(A_1_179))) | ~E(0, f(suc(suc(B_12_177)))) | ~E(f(B_12_177), f(suc(B_12_177))) | ~E(0, f(suc(B_12_177))) | ~E(0, f(B_13_178)) | ~E(0, f(A_1_179)) | ~E(0, f(B_11_176)) | ~E(0, f(suc(suc(A_1_179)))) | ~E(0, f(suc(A_1_179))) | ~E(0, f(suc(suc(B_11_176)))) | ~iLEQ(suc(B_12_177), suc(B_13_178)) | ~E(0, f(suc(B_11_176))))), inference(cnfTransformation, [status(thm)], [f_446])).
% 6.32/2.40 tff(c_362, plain, (![B_13_204, A_1_205, B_10_206]: (~E(f(B_13_204), f(suc(B_13_204))) | ~E(0, f(suc(suc(B_13_204)))) | ~E(0, f(suc(B_13_204))) | ~iLEQ(suc(A_1_205), suc(B_10_206)) | ~E(f(A_1_205), f(suc(A_1_205))) | ~E(f(B_10_206), f(suc(B_10_206))) | ~E(0, f(B_13_204)) | ~E(0, f(A_1_205)) | ~E(0, f(suc(suc(A_1_205)))) | ~E(0, f(suc(A_1_205))) | ~E(0, f(suc(suc(B_10_206)))) | ~iLEQ(suc(B_10_206), suc(B_13_204)) | ~E(0, f(suc(B_10_206))) | ~E(0, f(B_10_206)) | LE(f(B_10_206), 0))), inference(resolution, [status(thm)], [c_73, c_290])).
% 6.32/2.40 tff(c_387, plain, (![B_10_213, A_1_214, B_10_215]: (~E(0, f(suc(suc(B_10_213)))) | ~iLEQ(suc(A_1_214), suc(B_10_215)) | ~E(f(A_1_214), f(suc(A_1_214))) | ~E(f(B_10_215), f(suc(B_10_215))) | ~E(0, f(A_1_214)) | ~E(0, f(suc(suc(A_1_214)))) | ~E(0, f(suc(A_1_214))) | ~E(0, f(suc(suc(B_10_215)))) | ~iLEQ(suc(B_10_215), suc(B_10_213)) | ~E(0, f(suc(B_10_215))) | ~E(0, f(B_10_215)) | LE(f(B_10_215), 0) | ~E(0, f(suc(B_10_213))) | ~E(0, f(B_10_213)) | LE(f(B_10_213), 0))), inference(resolution, [status(thm)], [c_97, c_362])).
% 6.32/2.40 tff(c_395, plain, (![A_1_216, B_10_217, B_10_218]: (~iLEQ(suc(A_1_216), suc(B_10_217)) | ~E(f(A_1_216), f(suc(A_1_216))) | ~E(f(B_10_217), f(suc(B_10_217))) | ~E(0, f(A_1_216)) | ~E(0, f(suc(suc(A_1_216)))) | ~E(0, f(suc(A_1_216))) | ~E(0, f(suc(suc(B_10_217)))) | ~iLEQ(suc(B_10_217), suc(B_10_218)) | ~E(0, f(suc(B_10_217))) | ~E(0, f(B_10_217)) | LE(f(B_10_217), 0) | ~E(0, f(suc(B_10_218))) | ~E(0, f(B_10_218)) | LE(f(B_10_218), 0))), inference(resolution, [status(thm)], [c_52, c_387])).
% 6.32/2.40 tff(c_412, plain, (![B_10_222, B_10_223]: (~E(f(B_10_222), f(suc(B_10_222))) | ~E(0, f(suc(suc(B_10_222)))) | ~iLEQ(suc(B_10_222), suc(B_10_223)) | ~E(0, f(suc(B_10_223))) | ~E(0, f(B_10_223)) | LE(f(B_10_223), 0) | ~E(0, f(suc(B_10_222))) | ~E(0, f(B_10_222)) | LE(f(B_10_222), 0))), inference(resolution, [status(thm)], [c_73, c_395])).
% 6.32/2.40 tff(c_422, plain, (![B_10_224, B_10_225]: (~E(0, f(suc(suc(B_10_224)))) | ~iLEQ(suc(B_10_224), suc(B_10_225)) | ~E(0, f(suc(B_10_225))) | ~E(0, f(B_10_225)) | LE(f(B_10_225), 0) | ~E(0, f(suc(B_10_224))) | ~E(0, f(B_10_224)) | LE(f(B_10_224), 0))), inference(resolution, [status(thm)], [c_97, c_412])).
% 6.32/2.40 tff(c_430, plain, (![B_10_226, B_10_227]: (~iLEQ(suc(B_10_226), suc(B_10_227)) | ~E(0, f(suc(B_10_227))) | ~E(0, f(B_10_227)) | LE(f(B_10_227), 0) | ~E(0, f(suc(B_10_226))) | ~E(0, f(B_10_226)) | LE(f(B_10_226), 0))), inference(resolution, [status(thm)], [c_52, c_422])).
% 6.32/2.40 tff(c_439, plain, (![B_10_228]: (~E(0, f(suc(B_10_228))) | ~E(0, f(B_10_228)) | LE(f(B_10_228), 0))), inference(resolution, [status(thm)], [c_73, c_430])).
% 6.32/2.40 tff(c_448, plain, (![B_10_229]: (~E(0, f(B_10_229)) | LE(f(B_10_229), 0))), inference(resolution, [status(thm)], [c_48, c_439])).
% 6.32/2.40 tff(c_451, plain, (~E(0, f(z))), inference(resolution, [status(thm)], [c_448, c_32])).
% 6.32/2.40 tff(c_455, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_58, c_451])).
% 6.32/2.40 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.32/2.40
% 6.32/2.40 Inference rules
% 6.32/2.40 ----------------------
% 6.32/2.40 #Ref : 0
% 6.32/2.40 #Sup : 108
% 6.32/2.40 #Fact : 0
% 6.32/2.40 #Define : 0
% 6.32/2.40 #Split : 0
% 6.32/2.40 #Chain : 0
% 6.32/2.40 #Close : 0
% 6.32/2.40
% 6.32/2.40 Ordering : KBO
% 6.32/2.40
% 6.32/2.40 Simplification rules
% 6.32/2.40 ----------------------
% 6.32/2.40 #Subsume : 97
% 6.32/2.40 #Demod : 4
% 6.32/2.40 #Tautology : 0
% 6.32/2.40 #SimpNegUnit : 0
% 6.32/2.40 #BackRed : 0
% 6.32/2.40
% 6.32/2.40 #Partial instantiations: 0
% 6.32/2.40 #Strategies tried : 1
% 6.32/2.40
% 6.32/2.40 Timing (in seconds)
% 6.32/2.40 ----------------------
% 6.32/2.41 Preprocessing : 0.67
% 6.32/2.41 Parsing : 0.37
% 6.32/2.41 CNF conversion : 0.04
% 6.32/2.41 Main loop : 0.66
% 6.32/2.41 Inferencing : 0.22
% 6.32/2.41 Reduction : 0.13
% 6.32/2.41 Demodulation : 0.09
% 6.32/2.41 BG Simplification : 0.04
% 6.32/2.41 Subsumption : 0.27
% 6.32/2.41 Abstraction : 0.02
% 6.32/2.41 MUC search : 0.00
% 6.32/2.41 Cooper : 0.00
% 6.32/2.41 Total : 1.38
% 6.32/2.41 Index Insertion : 0.00
% 6.32/2.41 Index Deletion : 0.00
% 6.32/2.41 Index Matching : 0.00
% 6.32/2.41 BG Taut test : 0.00
%------------------------------------------------------------------------------