TSTP Solution File: SYO662-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYO662-1 : 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 : n023.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 27.58s 15.83s
% Output : CNFRefutation 27.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO662-1 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.14 % 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 : n023.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 16:04:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 27.58/15.83 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.58/15.85
% 27.58/15.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.58/15.86 %$ iLEQ > LE > E > #nlpp > suc > s > f > z > 0
% 27.58/15.86
% 27.58/15.86 %Foreground sorts:
% 27.58/15.86
% 27.58/15.86
% 27.58/15.86 %Background operators:
% 27.58/15.86
% 27.58/15.86
% 27.58/15.86 %Foreground operators:
% 27.58/15.86 tff(iLEQ, type, iLEQ: ($i * $i) > $o).
% 27.58/15.86 tff(s, type, s: $i > $i).
% 27.58/15.86 tff(f, type, f: $i > $i).
% 27.58/15.86 tff(0, type, 0: $i).
% 27.58/15.86 tff(LE, type, LE: ($i * $i) > $o).
% 27.58/15.86 tff(suc, type, suc: $i > $i).
% 27.58/15.86 tff(z, type, z: $i).
% 27.58/15.86 tff(E, type, E: ($i * $i) > $o).
% 27.58/15.86
% 27.88/15.90 tff(f_2230, axiom, (![A]: LE(f(A), s(s(0)))), file('unknown', unknown)).
% 27.88/15.90 tff(f_30, axiom, (![B_10]: ((~LE(f(B_10), s(s(0))) | E(s(0), f(B_10))) | LE(f(B_10), s(0)))), file('unknown', unknown)).
% 27.88/15.90 tff(f_311, axiom, (![B_17]: ((~LE(f(B_17), s(0)) | E(0, f(B_17))) | LE(f(B_17), 0))), file('unknown', unknown)).
% 27.88/15.90 tff(f_2228, axiom, (![B_10]: ((~LE(f(suc(B_10)), s(s(0))) | E(s(0), f(suc(B_10)))) | LE(f(B_10), s(0)))), file('unknown', unknown)).
% 27.88/15.90 tff(f_598, axiom, (![A_1]: (((~E(s(0), f(A_1)) | ~E(s(0), f(suc(A_1)))) | E(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 27.88/15.90 tff(f_995, axiom, (![B_10]: ((~LE(f(suc(suc(B_10))), s(s(0))) | E(s(0), f(suc(suc(B_10))))) | LE(f(B_10), s(0)))), file('unknown', unknown)).
% 27.88/15.90 tff(f_634, axiom, (![A_1]: (((((~E(s(0), f(suc(suc(A_1)))) | ~E(s(0), f(suc(A_1)))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(0), f(A_1))) | E(f(A_1), f(suc(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 27.88/15.90 tff(f_1495, axiom, (![B_10]: ((~LE(f(suc(suc(suc(B_10)))), s(s(0))) | E(s(0), f(suc(suc(suc(B_10)))))) | LE(f(B_10), s(0)))), file('unknown', unknown)).
% 27.88/15.90 tff(f_1366, axiom, (![A_1]: ((((((~E(s(0), f(suc(suc(A_1)))) | ~E(s(0), f(A_1))) | ~E(s(0), f(suc(A_1)))) | ~E(f(A_1), f(suc(suc(A_1))))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(0), f(suc(suc(suc(A_1)))))) | iLEQ(suc(A_1), suc(A_1)))), file('unknown', unknown)).
% 27.88/15.90 tff(f_1438, axiom, (![B_11, B_12, A_1]: ((((((((((~E(s(0), f(suc(B_11))) | ~E(s(0), f(B_12))) | ~E(s(0), f(A_1))) | ~E(s(0), f(suc(B_12)))) | ~E(s(0), f(suc(A_1)))) | ~E(s(0), f(B_11))) | ~iLEQ(suc(A_1), suc(B_11))) | ~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))))), file('unknown', unknown)).
% 27.88/15.90 tff(f_222, axiom, (![B_11, B_12, A_1]: ((((((((((((((((~E(s(0), f(suc(B_11))) | ~E(s(0), f(B_12))) | ~E(s(0), f(suc(suc(A_1))))) | ~E(s(0), f(A_1))) | ~E(s(0), f(suc(B_12)))) | ~E(s(0), f(suc(A_1)))) | ~E(s(0), f(suc(suc(B_12))))) | ~E(f(B_12), f(suc(B_12)))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(0), f(suc(suc(B_11))))) | ~E(s(0), f(B_11))) | ~E(f(B_11), f(suc(B_11)))) | ~iLEQ(suc(A_1), suc(B_11))) | ~iLEQ(suc(B_11), suc(B_12))) | E(f(A_1), f(suc(suc(A_1))))) | E(f(B_11), f(suc(suc(B_11))))) | E(f(B_12), f(suc(suc(B_12)))))), file('unknown', unknown)).
% 27.88/15.90 tff(f_588, axiom, (![B_11, B_12, A_1]: (((((((((((((((((((~E(s(0), f(suc(B_11))) | ~E(s(0), f(B_12))) | ~E(s(0), f(suc(suc(A_1))))) | ~E(s(0), f(A_1))) | ~E(s(0), f(suc(B_12)))) | ~E(s(0), f(suc(A_1)))) | ~E(f(B_11), f(suc(suc(B_11))))) | ~E(s(0), f(suc(suc(B_12))))) | ~E(f(B_12), f(suc(suc(B_12))))) | ~E(f(A_1), f(suc(suc(A_1))))) | ~E(f(B_12), f(suc(B_12)))) | ~E(s(0), f(suc(suc(suc(B_11)))))) | ~E(s(0), f(suc(suc(suc(B_12)))))) | ~E(f(A_1), f(suc(A_1)))) | ~E(s(0), f(suc(suc(B_11))))) | ~E(s(0), f(suc(suc(suc(A_1)))))) | ~E(s(0), f(B_11))) | ~E(f(B_11), f(suc(B_11)))) | ~iLEQ(suc(A_1), suc(B_11))) | ~iLEQ(suc(B_11), suc(B_12)))), file('unknown', unknown)).
% 27.88/15.90 tff(f_1771, axiom, ~LE(f(z), 0), file('unknown', unknown)).
% 27.88/15.90 tff(f_318, axiom, (![B_17]: ((~LE(f(suc(B_17)), s(0)) | E(0, f(suc(B_17)))) | LE(f(B_17), 0))), file('unknown', unknown)).
% 27.88/15.90 tff(f_2391, axiom, (![B_17]: ((~LE(f(suc(suc(B_17))), s(0)) | E(0, f(suc(suc(B_17))))) | LE(f(B_17), 0))), file('unknown', unknown)).
% 27.88/15.90 tff(f_1300, axiom, (![A_2]: (((~E(0, f(A_2)) | ~E(0, f(suc(A_2)))) | E(f(A_2), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2)))), file('unknown', unknown)).
% 27.88/15.90 tff(f_1290, axiom, (![B_17]: ((~LE(f(suc(suc(suc(B_17)))), s(0)) | E(0, f(suc(suc(suc(B_17)))))) | LE(f(B_17), 0))), file('unknown', unknown)).
% 27.88/15.90 tff(f_1011, axiom, (![A_2]: (((((~E(0, f(suc(suc(A_2)))) | ~E(0, f(suc(A_2)))) | ~E(f(A_2), f(suc(A_2)))) | ~E(0, f(A_2))) | E(f(A_2), f(suc(suc(A_2))))) | iLEQ(suc(A_2), suc(A_2)))), file('unknown', unknown)).
% 27.88/15.90 tff(f_618, axiom, (![A_2]: ((((((~E(0, f(suc(A_2))) | ~E(0, f(suc(suc(A_2))))) | ~E(f(A_2), f(suc(suc(A_2))))) | ~E(0, f(A_2))) | ~E(0, f(suc(suc(suc(A_2)))))) | ~E(f(A_2), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2)))), file('unknown', unknown)).
% 27.88/15.90 tff(f_852, axiom, (![A_2, B_19, B_18]: ((((((((((~E(0, f(suc(A_2))) | ~E(0, f(suc(B_19)))) | ~iLEQ(suc(B_18), suc(B_19))) | ~E(0, f(A_2))) | ~E(0, f(B_19))) | ~E(0, f(B_18))) | ~E(0, f(suc(B_18)))) | ~iLEQ(suc(A_2), suc(B_18))) | E(f(A_2), f(suc(A_2)))) | E(f(B_18), f(suc(B_18)))) | E(f(B_19), f(suc(B_19))))), file('unknown', unknown)).
% 27.88/15.90 tff(f_1819, axiom, (![B_18, A_2, B_19]: ((((((((((((((((~E(0, f(suc(suc(B_18)))) | ~E(0, f(suc(A_2)))) | ~E(0, f(suc(suc(A_2))))) | ~E(0, f(suc(B_19)))) | ~iLEQ(suc(B_18), suc(B_19))) | ~E(0, f(A_2))) | ~E(0, f(B_19))) | ~E(0, f(suc(suc(B_19))))) | ~E(f(B_18), f(suc(B_18)))) | ~E(0, f(B_18))) | ~E(0, f(suc(B_18)))) | ~E(f(B_19), f(suc(B_19)))) | ~iLEQ(suc(A_2), suc(B_18))) | ~E(f(A_2), f(suc(A_2)))) | E(f(A_2), f(suc(suc(A_2))))) | E(f(B_18), f(suc(suc(B_18))))) | E(f(B_19), f(suc(suc(B_19)))))), file('unknown', unknown)).
% 27.88/15.90 tff(f_782, axiom, (![B_18, A_2, B_19]: (((((((((((((((((((~E(0, f(suc(suc(B_18)))) | ~E(0, f(suc(A_2)))) | ~E(0, f(suc(suc(A_2))))) | ~E(f(A_2), f(suc(suc(A_2))))) | ~E(f(B_19), f(suc(suc(B_19))))) | ~E(0, f(suc(B_19)))) | ~iLEQ(suc(B_18), suc(B_19))) | ~E(0, f(A_2))) | ~E(0, f(B_19))) | ~E(0, f(suc(suc(B_19))))) | ~E(f(B_18), f(suc(B_18)))) | ~E(f(B_18), f(suc(suc(B_18))))) | ~E(0, f(suc(suc(suc(B_18)))))) | ~E(0, f(suc(suc(suc(B_19)))))) | ~E(0, f(B_18))) | ~E(0, f(suc(B_18)))) | ~E(f(B_19), f(suc(B_19)))) | ~E(0, f(suc(suc(suc(A_2)))))) | ~iLEQ(suc(A_2), suc(B_18))) | ~E(f(A_2), f(suc(A_2))))), file('unknown', unknown)).
% 27.88/15.90 tff(c_120, plain, (![A_149]: (LE(f(A_149), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_2230])).
% 27.88/15.90 tff(c_2, plain, (![B_10_1]: (LE(f(B_10_1), s(0)) | E(s(0), f(B_10_1)) | ~LE(f(B_10_1), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_30])).
% 27.88/15.90 tff(c_148, plain, (![B_10_1]: (LE(f(B_10_1), s(0)) | E(s(0), f(B_10_1)))), inference(demodulation, [status(thm), theory('equality')], [c_120, c_2])).
% 27.88/15.90 tff(c_154, plain, (![B_17_183]: (LE(f(B_17_183), 0) | E(0, f(B_17_183)) | ~LE(f(B_17_183), s(0)))), inference(cnfTransformation, [status(thm)], [f_311])).
% 27.88/15.90 tff(c_158, plain, (![B_10_1]: (LE(f(B_10_1), 0) | E(0, f(B_10_1)) | E(s(0), f(B_10_1)))), inference(resolution, [status(thm)], [c_148, c_154])).
% 27.88/15.90 tff(c_118, plain, (![B_10_148]: (LE(f(B_10_148), s(0)) | E(s(0), f(suc(B_10_148))) | ~LE(f(suc(B_10_148)), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_2228])).
% 27.88/15.90 tff(c_142, plain, (![B_10_148]: (LE(f(B_10_148), s(0)) | E(s(0), f(suc(B_10_148))))), inference(demodulation, [status(thm), theory('equality')], [c_120, c_118])).
% 27.88/15.90 tff(c_179, plain, (![A_1_192]: (iLEQ(suc(A_1_192), suc(A_1_192)) | E(f(A_1_192), f(suc(A_1_192))) | ~E(s(0), f(suc(A_1_192))) | ~E(s(0), f(A_1_192)))), inference(cnfTransformation, [status(thm)], [f_598])).
% 27.88/15.90 tff(c_201, plain, (![B_10_148]: (iLEQ(suc(B_10_148), suc(B_10_148)) | E(f(B_10_148), f(suc(B_10_148))) | ~E(s(0), f(B_10_148)) | LE(f(B_10_148), s(0)))), inference(resolution, [status(thm)], [c_142, c_179])).
% 27.88/15.90 tff(c_54, plain, (![B_10_67]: (LE(f(B_10_67), s(0)) | E(s(0), f(suc(suc(B_10_67)))) | ~LE(f(suc(suc(B_10_67))), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_995])).
% 27.88/15.90 tff(c_146, plain, (![B_10_67]: (LE(f(B_10_67), s(0)) | E(s(0), f(suc(suc(B_10_67)))))), inference(demodulation, [status(thm), theory('equality')], [c_120, c_54])).
% 27.88/15.90 tff(c_209, plain, (![A_1_200]: (iLEQ(suc(A_1_200), suc(A_1_200)) | E(f(A_1_200), f(suc(suc(A_1_200)))) | ~E(s(0), f(A_1_200)) | ~E(f(A_1_200), f(suc(A_1_200))) | ~E(s(0), f(suc(A_1_200))) | ~E(s(0), f(suc(suc(A_1_200)))))), inference(cnfTransformation, [status(thm)], [f_634])).
% 27.88/15.90 tff(c_232, plain, (![B_10_67]: (iLEQ(suc(B_10_67), suc(B_10_67)) | E(f(B_10_67), f(suc(suc(B_10_67)))) | ~E(s(0), f(B_10_67)) | ~E(f(B_10_67), f(suc(B_10_67))) | ~E(s(0), f(suc(B_10_67))) | LE(f(B_10_67), s(0)))), inference(resolution, [status(thm)], [c_146, c_209])).
% 27.88/15.90 tff(c_84, plain, (![B_10_102]: (LE(f(B_10_102), s(0)) | E(s(0), f(suc(suc(suc(B_10_102))))) | ~LE(f(suc(suc(suc(B_10_102)))), s(s(0))))), inference(cnfTransformation, [status(thm)], [f_1495])).
% 27.88/15.90 tff(c_144, plain, (![B_10_102]: (LE(f(B_10_102), s(0)) | E(s(0), f(suc(suc(suc(B_10_102))))))), inference(demodulation, [status(thm), theory('equality')], [c_120, c_84])).
% 27.88/15.90 tff(c_247, plain, (![A_1_206]: (iLEQ(suc(A_1_206), suc(A_1_206)) | ~E(s(0), f(suc(suc(suc(A_1_206))))) | ~E(f(A_1_206), f(suc(A_1_206))) | ~E(f(A_1_206), f(suc(suc(A_1_206)))) | ~E(s(0), f(suc(A_1_206))) | ~E(s(0), f(A_1_206)) | ~E(s(0), f(suc(suc(A_1_206)))))), inference(cnfTransformation, [status(thm)], [f_1366])).
% 27.88/15.90 tff(c_276, plain, (![B_10_209]: (iLEQ(suc(B_10_209), suc(B_10_209)) | ~E(f(B_10_209), f(suc(B_10_209))) | ~E(f(B_10_209), f(suc(suc(B_10_209)))) | ~E(s(0), f(suc(B_10_209))) | ~E(s(0), f(B_10_209)) | ~E(s(0), f(suc(suc(B_10_209)))) | LE(f(B_10_209), s(0)))), inference(resolution, [status(thm)], [c_144, c_247])).
% 27.88/15.90 tff(c_292, plain, (![B_10_210]: (~E(s(0), f(suc(suc(B_10_210)))) | iLEQ(suc(B_10_210), suc(B_10_210)) | ~E(s(0), f(B_10_210)) | ~E(f(B_10_210), f(suc(B_10_210))) | ~E(s(0), f(suc(B_10_210))) | LE(f(B_10_210), s(0)))), inference(resolution, [status(thm)], [c_232, c_276])).
% 27.88/15.90 tff(c_317, plain, (![B_10_211]: (iLEQ(suc(B_10_211), suc(B_10_211)) | ~E(s(0), f(B_10_211)) | ~E(f(B_10_211), f(suc(B_10_211))) | ~E(s(0), f(suc(B_10_211))) | LE(f(B_10_211), s(0)))), inference(resolution, [status(thm)], [c_146, c_292])).
% 27.88/15.90 tff(c_343, plain, (![B_10_215]: (~E(s(0), f(suc(B_10_215))) | iLEQ(suc(B_10_215), suc(B_10_215)) | ~E(s(0), f(B_10_215)) | LE(f(B_10_215), s(0)))), inference(resolution, [status(thm)], [c_201, c_317])).
% 27.88/15.90 tff(c_365, plain, (![B_10_148]: (iLEQ(suc(B_10_148), suc(B_10_148)) | ~E(s(0), f(B_10_148)) | LE(f(B_10_148), s(0)))), inference(resolution, [status(thm)], [c_142, c_343])).
% 27.88/15.90 tff(c_370, plain, (![B_12_217, B_11_218, A_1_219]: (E(f(B_12_217), f(suc(B_12_217))) | E(f(B_11_218), f(suc(B_11_218))) | E(f(A_1_219), f(suc(A_1_219))) | ~iLEQ(suc(B_11_218), suc(B_12_217)) | ~iLEQ(suc(A_1_219), suc(B_11_218)) | ~E(s(0), f(B_11_218)) | ~E(s(0), f(suc(A_1_219))) | ~E(s(0), f(suc(B_12_217))) | ~E(s(0), f(A_1_219)) | ~E(s(0), f(B_12_217)) | ~E(s(0), f(suc(B_11_218))))), inference(cnfTransformation, [status(thm)], [f_1438])).
% 27.88/15.90 tff(c_930, plain, (![B_10_273, A_1_274]: (E(f(B_10_273), f(suc(B_10_273))) | E(f(A_1_274), f(suc(A_1_274))) | ~iLEQ(suc(A_1_274), suc(B_10_273)) | ~E(s(0), f(suc(A_1_274))) | ~E(s(0), f(A_1_274)) | ~E(s(0), f(suc(B_10_273))) | ~E(s(0), f(B_10_273)) | LE(f(B_10_273), s(0)))), inference(resolution, [status(thm)], [c_365, c_370])).
% 27.88/15.90 tff(c_955, plain, (![B_10_275]: (E(f(B_10_275), f(suc(B_10_275))) | ~E(s(0), f(suc(B_10_275))) | ~E(s(0), f(B_10_275)) | LE(f(B_10_275), s(0)))), inference(resolution, [status(thm)], [c_365, c_930])).
% 27.88/15.90 tff(c_977, plain, (![B_10_148]: (E(f(B_10_148), f(suc(B_10_148))) | ~E(s(0), f(B_10_148)) | LE(f(B_10_148), s(0)))), inference(resolution, [status(thm)], [c_142, c_955])).
% 27.88/15.90 tff(c_3909, plain, (![B_12_397, B_11_398, A_1_399]: (E(f(B_12_397), f(suc(suc(B_12_397)))) | E(f(B_11_398), f(suc(suc(B_11_398)))) | E(f(A_1_399), f(suc(suc(A_1_399)))) | ~iLEQ(suc(B_11_398), suc(B_12_397)) | ~iLEQ(suc(A_1_399), suc(B_11_398)) | ~E(f(B_11_398), f(suc(B_11_398))) | ~E(s(0), f(B_11_398)) | ~E(s(0), f(suc(suc(B_11_398)))) | ~E(f(A_1_399), f(suc(A_1_399))) | ~E(f(B_12_397), f(suc(B_12_397))) | ~E(s(0), f(suc(suc(B_12_397)))) | ~E(s(0), f(suc(A_1_399))) | ~E(s(0), f(suc(B_12_397))) | ~E(s(0), f(A_1_399)) | ~E(s(0), f(suc(suc(A_1_399)))) | ~E(s(0), f(B_12_397)) | ~E(s(0), f(suc(B_11_398))))), inference(cnfTransformation, [status(thm)], [f_222])).
% 27.88/15.90 tff(c_17136, plain, (![B_10_615, A_1_616]: (E(f(B_10_615), f(suc(suc(B_10_615)))) | E(f(A_1_616), f(suc(suc(A_1_616)))) | ~iLEQ(suc(A_1_616), suc(B_10_615)) | ~E(f(A_1_616), f(suc(A_1_616))) | ~E(f(B_10_615), f(suc(B_10_615))) | ~E(s(0), f(suc(suc(B_10_615)))) | ~E(s(0), f(suc(A_1_616))) | ~E(s(0), f(A_1_616)) | ~E(s(0), f(suc(suc(A_1_616)))) | ~E(s(0), f(suc(B_10_615))) | ~E(s(0), f(B_10_615)) | LE(f(B_10_615), s(0)))), inference(resolution, [status(thm)], [c_365, c_3909])).
% 27.88/15.90 tff(c_17263, plain, (![B_10_617]: (E(f(B_10_617), f(suc(suc(B_10_617)))) | ~E(f(B_10_617), f(suc(B_10_617))) | ~E(s(0), f(suc(suc(B_10_617)))) | ~E(s(0), f(suc(B_10_617))) | ~E(s(0), f(B_10_617)) | LE(f(B_10_617), s(0)))), inference(resolution, [status(thm)], [c_365, c_17136])).
% 27.88/15.90 tff(c_17286, plain, (![B_10_67]: (E(f(B_10_67), f(suc(suc(B_10_67)))) | ~E(f(B_10_67), f(suc(B_10_67))) | ~E(s(0), f(suc(B_10_67))) | ~E(s(0), f(B_10_67)) | LE(f(B_10_67), s(0)))), inference(resolution, [status(thm)], [c_146, c_17263])).
% 27.88/15.90 tff(c_7022, plain, (![B_11_464, B_12_465, A_1_466]: (~iLEQ(suc(B_11_464), suc(B_12_465)) | ~iLEQ(suc(A_1_466), suc(B_11_464)) | ~E(f(B_11_464), f(suc(B_11_464))) | ~E(s(0), f(B_11_464)) | ~E(s(0), f(suc(suc(suc(A_1_466))))) | ~E(s(0), f(suc(suc(B_11_464)))) | ~E(f(A_1_466), f(suc(A_1_466))) | ~E(s(0), f(suc(suc(suc(B_12_465))))) | ~E(s(0), f(suc(suc(suc(B_11_464))))) | ~E(f(B_12_465), f(suc(B_12_465))) | ~E(f(A_1_466), f(suc(suc(A_1_466)))) | ~E(f(B_12_465), f(suc(suc(B_12_465)))) | ~E(s(0), f(suc(suc(B_12_465)))) | ~E(f(B_11_464), f(suc(suc(B_11_464)))) | ~E(s(0), f(suc(A_1_466))) | ~E(s(0), f(suc(B_12_465))) | ~E(s(0), f(A_1_466)) | ~E(s(0), f(suc(suc(A_1_466)))) | ~E(s(0), f(B_12_465)) | ~E(s(0), f(suc(B_11_464))))), inference(cnfTransformation, [status(thm)], [f_588])).
% 27.88/15.90 tff(c_28984, plain, (![A_1_856, B_10_857]: (~iLEQ(suc(A_1_856), suc(B_10_857)) | ~E(s(0), f(suc(suc(suc(A_1_856))))) | ~E(f(A_1_856), f(suc(A_1_856))) | ~E(s(0), f(suc(suc(suc(B_10_857))))) | ~E(f(B_10_857), f(suc(B_10_857))) | ~E(f(A_1_856), f(suc(suc(A_1_856)))) | ~E(s(0), f(suc(suc(B_10_857)))) | ~E(f(B_10_857), f(suc(suc(B_10_857)))) | ~E(s(0), f(suc(A_1_856))) | ~E(s(0), f(A_1_856)) | ~E(s(0), f(suc(suc(A_1_856)))) | ~E(s(0), f(suc(B_10_857))) | ~E(s(0), f(B_10_857)) | LE(f(B_10_857), s(0)))), inference(resolution, [status(thm)], [c_365, c_7022])).
% 27.88/15.90 tff(c_29090, plain, (![B_10_858]: (~E(s(0), f(suc(suc(suc(B_10_858))))) | ~E(f(B_10_858), f(suc(B_10_858))) | ~E(f(B_10_858), f(suc(suc(B_10_858)))) | ~E(s(0), f(suc(suc(B_10_858)))) | ~E(s(0), f(suc(B_10_858))) | ~E(s(0), f(B_10_858)) | LE(f(B_10_858), s(0)))), inference(resolution, [status(thm)], [c_365, c_28984])).
% 27.88/15.90 tff(c_29117, plain, (![B_10_859]: (~E(f(B_10_859), f(suc(B_10_859))) | ~E(f(B_10_859), f(suc(suc(B_10_859)))) | ~E(s(0), f(suc(suc(B_10_859)))) | ~E(s(0), f(suc(B_10_859))) | ~E(s(0), f(B_10_859)) | LE(f(B_10_859), s(0)))), inference(resolution, [status(thm)], [c_144, c_29090])).
% 27.88/15.90 tff(c_29169, plain, (![B_10_860]: (~E(s(0), f(suc(suc(B_10_860)))) | ~E(f(B_10_860), f(suc(B_10_860))) | ~E(s(0), f(suc(B_10_860))) | ~E(s(0), f(B_10_860)) | LE(f(B_10_860), s(0)))), inference(resolution, [status(thm)], [c_17286, c_29117])).
% 27.88/15.90 tff(c_29194, plain, (![B_10_861]: (~E(f(B_10_861), f(suc(B_10_861))) | ~E(s(0), f(suc(B_10_861))) | ~E(s(0), f(B_10_861)) | LE(f(B_10_861), s(0)))), inference(resolution, [status(thm)], [c_146, c_29169])).
% 27.88/15.90 tff(c_29300, plain, (![B_10_862]: (~E(s(0), f(suc(B_10_862))) | ~E(s(0), f(B_10_862)) | LE(f(B_10_862), s(0)))), inference(resolution, [status(thm)], [c_977, c_29194])).
% 27.88/15.90 tff(c_29329, plain, (![B_10_863]: (~E(s(0), f(B_10_863)) | LE(f(B_10_863), s(0)))), inference(resolution, [status(thm)], [c_142, c_29300])).
% 27.88/15.90 tff(c_16, plain, (![B_17_20]: (LE(f(B_17_20), 0) | E(0, f(B_17_20)) | ~LE(f(B_17_20), s(0)))), inference(cnfTransformation, [status(thm)], [f_311])).
% 27.88/15.90 tff(c_29346, plain, (![B_10_864]: (LE(f(B_10_864), 0) | E(0, f(B_10_864)) | ~E(s(0), f(B_10_864)))), inference(resolution, [status(thm)], [c_29329, c_16])).
% 27.88/15.90 tff(c_29375, plain, (![B_10_865]: (LE(f(B_10_865), 0) | E(0, f(B_10_865)))), inference(resolution, [status(thm)], [c_158, c_29346])).
% 27.88/15.90 tff(c_98, plain, (~LE(f(z), 0)), inference(cnfTransformation, [status(thm)], [f_1771])).
% 27.88/15.90 tff(c_29379, plain, (E(0, f(z))), inference(resolution, [status(thm)], [c_29375, c_98])).
% 27.88/15.90 tff(c_160, plain, (![B_17_185]: (LE(f(B_17_185), 0) | E(0, f(suc(B_17_185))) | ~LE(f(suc(B_17_185)), s(0)))), inference(cnfTransformation, [status(thm)], [f_318])).
% 27.88/15.90 tff(c_164, plain, (![B_17_185]: (LE(f(B_17_185), 0) | E(0, f(suc(B_17_185))) | E(s(0), f(suc(B_17_185))))), inference(resolution, [status(thm)], [c_148, c_160])).
% 27.88/15.90 tff(c_18, plain, (![B_17_21]: (LE(f(B_17_21), 0) | E(0, f(suc(B_17_21))) | ~LE(f(suc(B_17_21)), s(0)))), inference(cnfTransformation, [status(thm)], [f_318])).
% 27.88/15.90 tff(c_29380, plain, (![B_17_866]: (LE(f(B_17_866), 0) | E(0, f(suc(B_17_866))) | ~E(s(0), f(suc(B_17_866))))), inference(resolution, [status(thm)], [c_29329, c_18])).
% 27.88/15.90 tff(c_29401, plain, (![B_17_185]: (LE(f(B_17_185), 0) | E(0, f(suc(B_17_185))))), inference(resolution, [status(thm)], [c_164, c_29380])).
% 27.88/15.90 tff(c_165, plain, (![B_17_186]: (LE(f(B_17_186), 0) | E(0, f(suc(suc(B_17_186)))) | ~LE(f(suc(suc(B_17_186))), s(0)))), inference(cnfTransformation, [status(thm)], [f_2391])).
% 27.88/15.90 tff(c_169, plain, (![B_17_186]: (LE(f(B_17_186), 0) | E(0, f(suc(suc(B_17_186)))) | E(s(0), f(suc(suc(B_17_186)))))), inference(resolution, [status(thm)], [c_148, c_165])).
% 27.88/15.90 tff(c_128, plain, (![B_17_159]: (LE(f(B_17_159), 0) | E(0, f(suc(suc(B_17_159)))) | ~LE(f(suc(suc(B_17_159))), s(0)))), inference(cnfTransformation, [status(thm)], [f_2391])).
% 27.88/15.90 tff(c_29418, plain, (![B_17_868]: (LE(f(B_17_868), 0) | E(0, f(suc(suc(B_17_868)))) | ~E(s(0), f(suc(suc(B_17_868)))))), inference(resolution, [status(thm)], [c_29329, c_128])).
% 27.88/15.90 tff(c_29435, plain, (![B_17_186]: (LE(f(B_17_186), 0) | E(0, f(suc(suc(B_17_186)))))), inference(resolution, [status(thm)], [c_169, c_29418])).
% 27.88/15.90 tff(c_72, plain, (![A_2_88]: (iLEQ(suc(A_2_88), suc(A_2_88)) | E(f(A_2_88), f(suc(A_2_88))) | ~E(0, f(suc(A_2_88))) | ~E(0, f(A_2_88)))), inference(cnfTransformation, [status(thm)], [f_1300])).
% 27.88/15.90 tff(c_172, plain, (![B_17_189]: (LE(f(B_17_189), 0) | E(0, f(suc(suc(suc(B_17_189))))) | ~LE(f(suc(suc(suc(B_17_189)))), s(0)))), inference(cnfTransformation, [status(thm)], [f_1290])).
% 27.88/15.90 tff(c_176, plain, (![B_17_189]: (LE(f(B_17_189), 0) | E(0, f(suc(suc(suc(B_17_189))))) | E(s(0), f(suc(suc(suc(B_17_189))))))), inference(resolution, [status(thm)], [c_148, c_172])).
% 27.88/15.90 tff(c_70, plain, (![B_17_87]: (LE(f(B_17_87), 0) | E(0, f(suc(suc(suc(B_17_87))))) | ~LE(f(suc(suc(suc(B_17_87)))), s(0)))), inference(cnfTransformation, [status(thm)], [f_1290])).
% 27.88/15.90 tff(c_29450, plain, (![B_17_870]: (LE(f(B_17_870), 0) | E(0, f(suc(suc(suc(B_17_870))))) | ~E(s(0), f(suc(suc(suc(B_17_870))))))), inference(resolution, [status(thm)], [c_29329, c_70])).
% 27.88/15.90 tff(c_29467, plain, (![B_17_871]: (LE(f(B_17_871), 0) | E(0, f(suc(suc(suc(B_17_871))))))), inference(resolution, [status(thm)], [c_176, c_29450])).
% 27.88/15.90 tff(c_56, plain, (![A_2_68]: (iLEQ(suc(A_2_68), suc(A_2_68)) | E(f(A_2_68), f(suc(suc(A_2_68)))) | ~E(0, f(A_2_68)) | ~E(f(A_2_68), f(suc(A_2_68))) | ~E(0, f(suc(A_2_68))) | ~E(0, f(suc(suc(A_2_68)))))), inference(cnfTransformation, [status(thm)], [f_1011])).
% 27.88/15.90 tff(c_235, plain, (![A_2_202]: (iLEQ(suc(A_2_202), suc(A_2_202)) | ~E(f(A_2_202), f(suc(A_2_202))) | ~E(0, f(suc(suc(suc(A_2_202))))) | ~E(0, f(A_2_202)) | ~E(f(A_2_202), f(suc(suc(A_2_202)))) | ~E(0, f(suc(suc(A_2_202)))) | ~E(0, f(suc(A_2_202))))), inference(cnfTransformation, [status(thm)], [f_618])).
% 27.88/15.90 tff(c_243, plain, (![A_2_68]: (~E(0, f(suc(suc(suc(A_2_68))))) | iLEQ(suc(A_2_68), suc(A_2_68)) | ~E(0, f(A_2_68)) | ~E(f(A_2_68), f(suc(A_2_68))) | ~E(0, f(suc(A_2_68))) | ~E(0, f(suc(suc(A_2_68)))))), inference(resolution, [status(thm)], [c_56, c_235])).
% 27.88/15.90 tff(c_29905, plain, (![B_17_880]: (iLEQ(suc(B_17_880), suc(B_17_880)) | ~E(0, f(B_17_880)) | ~E(f(B_17_880), f(suc(B_17_880))) | ~E(0, f(suc(B_17_880))) | ~E(0, f(suc(suc(B_17_880)))) | LE(f(B_17_880), 0))), inference(resolution, [status(thm)], [c_29467, c_243])).
% 27.88/15.90 tff(c_29942, plain, (![A_2_881]: (~E(0, f(suc(suc(A_2_881)))) | LE(f(A_2_881), 0) | iLEQ(suc(A_2_881), suc(A_2_881)) | ~E(0, f(suc(A_2_881))) | ~E(0, f(A_2_881)))), inference(resolution, [status(thm)], [c_72, c_29905])).
% 27.88/15.90 tff(c_29951, plain, (![B_17_186]: (iLEQ(suc(B_17_186), suc(B_17_186)) | ~E(0, f(suc(B_17_186))) | ~E(0, f(B_17_186)) | LE(f(B_17_186), 0))), inference(resolution, [status(thm)], [c_29435, c_29942])).
% 27.88/15.90 tff(c_29953, plain, (![B_17_882]: (iLEQ(suc(B_17_882), suc(B_17_882)) | ~E(0, f(suc(B_17_882))) | ~E(0, f(B_17_882)) | LE(f(B_17_882), 0))), inference(resolution, [status(thm)], [c_29435, c_29942])).
% 27.88/15.90 tff(c_46, plain, (![B_19_56, B_18_57, A_2_55]: (E(f(B_19_56), f(suc(B_19_56))) | E(f(B_18_57), f(suc(B_18_57))) | E(f(A_2_55), f(suc(A_2_55))) | ~iLEQ(suc(A_2_55), suc(B_18_57)) | ~E(0, f(suc(B_18_57))) | ~E(0, f(B_18_57)) | ~E(0, f(B_19_56)) | ~E(0, f(A_2_55)) | ~iLEQ(suc(B_18_57), suc(B_19_56)) | ~E(0, f(suc(B_19_56))) | ~E(0, f(suc(A_2_55))))), inference(cnfTransformation, [status(thm)], [f_852])).
% 27.88/15.90 tff(c_30138, plain, (![B_19_883, B_17_884]: (E(f(B_19_883), f(suc(B_19_883))) | E(f(B_17_884), f(suc(B_17_884))) | ~E(0, f(B_19_883)) | ~iLEQ(suc(B_17_884), suc(B_19_883)) | ~E(0, f(suc(B_19_883))) | ~E(0, f(suc(B_17_884))) | ~E(0, f(B_17_884)) | LE(f(B_17_884), 0))), inference(resolution, [status(thm)], [c_29953, c_46])).
% 27.88/15.90 tff(c_30153, plain, (![B_17_186]: (E(f(B_17_186), f(suc(B_17_186))) | ~E(0, f(suc(B_17_186))) | ~E(0, f(B_17_186)) | LE(f(B_17_186), 0))), inference(resolution, [status(thm)], [c_29951, c_30138])).
% 27.88/15.90 tff(c_29463, plain, (![B_17_189]: (LE(f(B_17_189), 0) | E(0, f(suc(suc(suc(B_17_189))))))), inference(resolution, [status(thm)], [c_176, c_29450])).
% 27.88/15.90 tff(c_100, plain, (![B_19_123, B_18_121, A_2_122]: (E(f(B_19_123), f(suc(suc(B_19_123)))) | E(f(B_18_121), f(suc(suc(B_18_121)))) | E(f(A_2_122), f(suc(suc(A_2_122)))) | ~E(f(A_2_122), f(suc(A_2_122))) | ~iLEQ(suc(A_2_122), suc(B_18_121)) | ~E(f(B_19_123), f(suc(B_19_123))) | ~E(0, f(suc(B_18_121))) | ~E(0, f(B_18_121)) | ~E(f(B_18_121), f(suc(B_18_121))) | ~E(0, f(suc(suc(B_19_123)))) | ~E(0, f(B_19_123)) | ~E(0, f(A_2_122)) | ~iLEQ(suc(B_18_121), suc(B_19_123)) | ~E(0, f(suc(B_19_123))) | ~E(0, f(suc(suc(A_2_122)))) | ~E(0, f(suc(A_2_122))) | ~E(0, f(suc(suc(B_18_121)))))), inference(cnfTransformation, [status(thm)], [f_1819])).
% 27.88/15.90 tff(c_31086, plain, (![B_19_911, B_17_912]: (E(f(B_19_911), f(suc(suc(B_19_911)))) | E(f(B_17_912), f(suc(suc(B_17_912)))) | ~E(f(B_19_911), f(suc(B_19_911))) | ~E(f(B_17_912), f(suc(B_17_912))) | ~E(0, f(suc(suc(B_19_911)))) | ~E(0, f(B_19_911)) | ~iLEQ(suc(B_17_912), suc(B_19_911)) | ~E(0, f(suc(B_19_911))) | ~E(0, f(suc(suc(B_17_912)))) | ~E(0, f(suc(B_17_912))) | ~E(0, f(B_17_912)) | LE(f(B_17_912), 0))), inference(resolution, [status(thm)], [c_29953, c_100])).
% 27.88/15.90 tff(c_31101, plain, (![B_17_186]: (E(f(B_17_186), f(suc(suc(B_17_186)))) | ~E(f(B_17_186), f(suc(B_17_186))) | ~E(0, f(suc(suc(B_17_186)))) | ~E(0, f(suc(B_17_186))) | ~E(0, f(B_17_186)) | LE(f(B_17_186), 0))), inference(resolution, [status(thm)], [c_29951, c_31086])).
% 27.88/15.90 tff(c_42, plain, (![A_2_50, B_18_49, B_19_51]: (~E(f(A_2_50), f(suc(A_2_50))) | ~iLEQ(suc(A_2_50), suc(B_18_49)) | ~E(0, f(suc(suc(suc(A_2_50))))) | ~E(f(B_19_51), f(suc(B_19_51))) | ~E(0, f(suc(B_18_49))) | ~E(0, f(B_18_49)) | ~E(0, f(suc(suc(suc(B_19_51))))) | ~E(0, f(suc(suc(suc(B_18_49))))) | ~E(f(B_18_49), f(suc(suc(B_18_49)))) | ~E(f(B_18_49), f(suc(B_18_49))) | ~E(0, f(suc(suc(B_19_51)))) | ~E(0, f(B_19_51)) | ~E(0, f(A_2_50)) | ~iLEQ(suc(B_18_49), suc(B_19_51)) | ~E(0, f(suc(B_19_51))) | ~E(f(B_19_51), f(suc(suc(B_19_51)))) | ~E(f(A_2_50), f(suc(suc(A_2_50)))) | ~E(0, f(suc(suc(A_2_50)))) | ~E(0, f(suc(A_2_50))) | ~E(0, f(suc(suc(B_18_49)))))), inference(cnfTransformation, [status(thm)], [f_782])).
% 27.88/15.90 tff(c_31249, plain, (![B_19_934, B_17_935]: (~E(f(B_19_934), f(suc(B_19_934))) | ~E(0, f(suc(suc(suc(B_19_934))))) | ~E(0, f(suc(suc(suc(B_17_935))))) | ~E(f(B_17_935), f(suc(B_17_935))) | ~E(0, f(suc(suc(B_19_934)))) | ~E(0, f(B_19_934)) | ~iLEQ(suc(B_17_935), suc(B_19_934)) | ~E(0, f(suc(B_19_934))) | ~E(f(B_19_934), f(suc(suc(B_19_934)))) | ~E(f(B_17_935), f(suc(suc(B_17_935)))) | ~E(0, f(suc(suc(B_17_935)))) | ~E(0, f(suc(B_17_935))) | ~E(0, f(B_17_935)) | LE(f(B_17_935), 0))), inference(resolution, [status(thm)], [c_29953, c_42])).
% 27.88/15.90 tff(c_31265, plain, (![B_17_936]: (~E(0, f(suc(suc(suc(B_17_936))))) | ~E(f(B_17_936), f(suc(B_17_936))) | ~E(f(B_17_936), f(suc(suc(B_17_936)))) | ~E(0, f(suc(suc(B_17_936)))) | ~E(0, f(suc(B_17_936))) | ~E(0, f(B_17_936)) | LE(f(B_17_936), 0))), inference(resolution, [status(thm)], [c_29951, c_31249])).
% 27.88/15.90 tff(c_31286, plain, (![B_17_937]: (~E(0, f(suc(suc(suc(B_17_937))))) | ~E(f(B_17_937), f(suc(B_17_937))) | ~E(0, f(suc(suc(B_17_937)))) | ~E(0, f(suc(B_17_937))) | ~E(0, f(B_17_937)) | LE(f(B_17_937), 0))), inference(resolution, [status(thm)], [c_31101, c_31265])).
% 27.88/15.90 tff(c_31298, plain, (![B_17_938]: (~E(f(B_17_938), f(suc(B_17_938))) | ~E(0, f(suc(suc(B_17_938)))) | ~E(0, f(suc(B_17_938))) | ~E(0, f(B_17_938)) | LE(f(B_17_938), 0))), inference(resolution, [status(thm)], [c_29463, c_31286])).
% 27.88/15.90 tff(c_31323, plain, (![B_17_939]: (~E(0, f(suc(suc(B_17_939)))) | ~E(0, f(suc(B_17_939))) | ~E(0, f(B_17_939)) | LE(f(B_17_939), 0))), inference(resolution, [status(thm)], [c_30153, c_31298])).
% 27.88/15.90 tff(c_31336, plain, (![B_17_940]: (~E(0, f(suc(B_17_940))) | ~E(0, f(B_17_940)) | LE(f(B_17_940), 0))), inference(resolution, [status(thm)], [c_29435, c_31323])).
% 27.88/15.90 tff(c_31349, plain, (![B_17_941]: (~E(0, f(B_17_941)) | LE(f(B_17_941), 0))), inference(resolution, [status(thm)], [c_29401, c_31336])).
% 27.88/15.90 tff(c_31352, plain, (~E(0, f(z))), inference(resolution, [status(thm)], [c_31349, c_98])).
% 27.88/15.90 tff(c_31356, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_29379, c_31352])).
% 27.88/15.90 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.88/15.90
% 27.88/15.90 Inference rules
% 27.88/15.90 ----------------------
% 27.88/15.90 #Ref : 0
% 27.88/15.90 #Sup : 9862
% 27.88/15.90 #Fact : 0
% 27.88/15.90 #Define : 0
% 27.88/15.90 #Split : 0
% 27.88/15.90 #Chain : 0
% 27.88/15.90 #Close : 0
% 27.88/15.90
% 27.88/15.90 Ordering : KBO
% 27.88/15.90
% 27.88/15.90 Simplification rules
% 27.88/15.90 ----------------------
% 27.88/15.90 #Subsume : 6740
% 27.88/15.90 #Demod : 5
% 27.88/15.90 #Tautology : 2604
% 27.88/15.90 #SimpNegUnit : 0
% 27.88/15.90 #BackRed : 0
% 27.88/15.90
% 27.88/15.90 #Partial instantiations: 0
% 27.88/15.90 #Strategies tried : 1
% 27.88/15.90
% 27.88/15.90 Timing (in seconds)
% 27.88/15.90 ----------------------
% 27.88/15.90 Preprocessing : 0.95
% 27.88/15.90 Parsing : 0.55
% 27.88/15.90 CNF conversion : 0.05
% 27.88/15.90 Main loop : 13.85
% 27.88/15.90 Inferencing : 1.44
% 27.88/15.90 Reduction : 1.56
% 27.88/15.90 Demodulation : 0.95
% 27.88/15.90 BG Simplification : 0.14
% 27.88/15.90 Subsumption : 10.46
% 27.88/15.90 Abstraction : 0.22
% 27.88/15.90 MUC search : 0.00
% 27.88/15.90 Cooper : 0.00
% 27.88/15.90 Total : 14.89
% 27.88/15.90 Index Insertion : 0.00
% 27.88/15.90 Index Deletion : 0.00
% 27.88/15.90 Index Matching : 0.00
% 27.88/15.90 BG Taut test : 0.00
%------------------------------------------------------------------------------