TSTP Solution File: SYO647-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYO647-1 : 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 : n019.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 11:18:17 EDT 2023

% Result   : Unsatisfiable 100.62s 49.56s
% Output   : CNFRefutation 101.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO647-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 15:52:01 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 100.62/49.56  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 100.62/49.57  
% 100.62/49.57  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 100.81/49.59  %$ iLEQ > E > #nlpp > suc > f > 0
% 100.81/49.59  
% 100.81/49.59  %Foreground sorts:
% 100.81/49.59  
% 100.81/49.59  
% 100.81/49.59  %Background operators:
% 100.81/49.59  
% 100.81/49.59  
% 100.81/49.59  %Foreground operators:
% 100.81/49.59  tff(iLEQ, type, iLEQ: ($i * $i) > $o).
% 100.81/49.59  tff(f, type, f: $i > $i).
% 100.81/49.59  tff(0, type, 0: $i).
% 100.81/49.59  tff(suc, type, suc: $i > $i).
% 100.81/49.59  tff(E, type, E: ($i * $i) > $o).
% 100.81/49.59  
% 101.68/49.62  tff(f_8604, axiom, (![A]: E(0, f(A))), file('unknown', unknown)).
% 101.68/49.62  tff(f_11798, axiom, (![A_0]: (((~E(0, f(A_0)) | ~E(0, f(suc(A_0)))) | E(f(A_0), f(suc(A_0)))) | iLEQ(suc(A_0), suc(A_0)))), file('unknown', unknown)).
% 101.68/49.62  tff(f_57237, axiom, (![A_0]: (((((~E(0, f(suc(suc(A_0)))) | ~E(0, f(suc(A_0)))) | ~E(f(A_0), f(suc(A_0)))) | ~E(0, f(A_0))) | E(f(A_0), f(suc(suc(A_0))))) | iLEQ(suc(A_0), suc(A_0)))), file('unknown', unknown)).
% 101.68/49.62  tff(f_995, axiom, (![A_0]: ((((((~E(0, f(suc(suc(A_0)))) | ~E(f(A_0), f(suc(suc(A_0))))) | ~E(0, f(suc(suc(suc(A_0)))))) | ~E(f(A_0), f(suc(A_0)))) | ~E(0, f(suc(A_0)))) | ~E(0, f(A_0))) | iLEQ(suc(A_0), suc(A_0)))), file('unknown', unknown)).
% 101.68/49.62  tff(f_9508, axiom, (![B_3, B, A_0, B_0, B_2, B_1]: ((((((((((((((((((((((~iLEQ(suc(B_1), suc(B_2)) | ~iLEQ(suc(B_0), suc(B_1))) | ~E(0, f(B_1))) | ~iLEQ(suc(A_0), suc(B))) | ~E(0, f(suc(B_0)))) | ~E(0, f(suc(B_2)))) | ~iLEQ(suc(B_2), suc(B_3))) | ~E(0, f(B_0))) | ~E(0, f(B_2))) | ~E(0, f(suc(A_0)))) | ~E(0, f(B))) | ~E(0, f(B_3))) | ~E(0, f(suc(B)))) | ~E(0, f(suc(B_1)))) | ~E(0, f(A_0))) | ~E(0, f(suc(B_3)))) | ~iLEQ(suc(B), suc(B_0))) | E(f(B_1), f(suc(B_1)))) | E(f(B_0), f(suc(B_0)))) | E(f(B), f(suc(B)))) | E(f(B_2), f(suc(B_2)))) | E(f(A_0), f(suc(A_0)))) | E(f(B_3), f(suc(B_3))))), file('unknown', unknown)).
% 101.68/49.62  tff(f_10660, axiom, (![B_3, B, A_0, B_0, B_2, B_1]: ((((((((((((((((((((((((((((((((((~E(f(B_1), f(suc(B_1))) | ~iLEQ(suc(B_1), suc(B_2))) | ~E(0, f(suc(suc(A_0))))) | ~iLEQ(suc(B_0), suc(B_1))) | ~E(0, f(B_1))) | ~E(0, f(suc(suc(B_0))))) | ~E(f(B_0), f(suc(B_0)))) | ~E(f(B), f(suc(B)))) | ~iLEQ(suc(A_0), suc(B))) | ~E(0, f(suc(B_0)))) | ~E(0, f(suc(B_2)))) | ~iLEQ(suc(B_2), suc(B_3))) | ~E(f(B_2), f(suc(B_2)))) | ~E(0, f(suc(suc(B_3))))) | ~E(f(A_0), f(suc(A_0)))) | ~E(0, f(B_0))) | ~E(0, f(B_2))) | ~E(0, f(suc(A_0)))) | ~E(0, f(B))) | ~E(f(B_3), f(suc(B_3)))) | ~E(0, f(suc(suc(B))))) | ~E(0, f(B_3))) | ~E(0, f(suc(B)))) | ~E(0, f(suc(B_1)))) | ~E(0, f(suc(suc(B_2))))) | ~E(0, f(suc(suc(B_1))))) | ~E(0, f(A_0))) | ~E(0, f(suc(B_3)))) | ~iLEQ(suc(B), suc(B_0))) | E(f(B_2), f(suc(suc(B_2))))) | E(f(A_0), f(suc(suc(A_0))))) | E(f(B), f(suc(suc(B))))) | E(f(B_3), f(suc(suc(B_3))))) | E(f(B_0), f(suc(suc(B_0))))) | E(f(B_1), f(suc(suc(B_1)))))), file('unknown', unknown)).
% 101.68/49.62  tff(f_47411, axiom, (![B_3, B, A_0, B_0, B_2, B_1]: ((((((((((((((((((((((((((((((((((((((((~E(0, f(suc(suc(suc(B_2))))) | ~E(f(B_2), f(suc(suc(B_2))))) | ~E(f(B_1), f(suc(B_1)))) | ~iLEQ(suc(B_1), suc(B_2))) | ~E(0, f(suc(suc(A_0))))) | ~iLEQ(suc(B_0), suc(B_1))) | ~E(0, f(B_1))) | ~E(0, f(suc(suc(suc(B_3)))))) | ~E(0, f(suc(suc(B_0))))) | ~E(0, f(suc(suc(suc(B_0)))))) | ~E(f(B_0), f(suc(B_0)))) | ~E(0, f(suc(suc(suc(B)))))) | ~E(f(B), f(suc(B)))) | ~iLEQ(suc(A_0), suc(B))) | ~E(f(A_0), f(suc(suc(A_0))))) | ~E(0, f(suc(B_0)))) | ~E(0, f(suc(B_2)))) | ~iLEQ(suc(B_2), suc(B_3))) | ~E(0, f(suc(suc(suc(A_0)))))) | ~E(f(B_2), f(suc(B_2)))) | ~E(0, f(suc(suc(B_3))))) | ~E(f(A_0), f(suc(A_0)))) | ~E(0, f(B_0))) | ~E(0, f(B_2))) | ~E(0, f(suc(A_0)))) | ~E(0, f(B))) | ~E(f(B_3), f(suc(B_3)))) | ~E(0, f(suc(suc(B))))) | ~E(f(B), f(suc(suc(B))))) | ~E(0, f(B_3))) | ~E(0, f(suc(suc(suc(B_1)))))) | ~E(0, f(suc(B)))) | ~E(0, f(suc(B_1)))) | ~E(0, f(suc(suc(B_2))))) | ~E(0, f(suc(suc(B_1))))) | ~E(0, f(A_0))) | ~E(f(B_3), f(suc(suc(B_3))))) | ~E(f(B_0), f(suc(suc(B_0))))) | ~E(0, f(suc(B_3)))) | ~iLEQ(suc(B), suc(B_0))) | ~E(f(B_1), f(suc(suc(B_1)))))), file('unknown', unknown)).
% 101.68/49.62  tff(c_182, plain, (![A_536]: (E(0, f(A_536)))), inference(cnfTransformation, [status(thm)], [f_8604])).
% 101.68/49.62  tff(c_252, plain, (![A_0_741]: (iLEQ(suc(A_0_741), suc(A_0_741)) | E(f(A_0_741), f(suc(A_0_741))) | ~E(0, f(suc(A_0_741))) | ~E(0, f(A_0_741)))), inference(cnfTransformation, [status(thm)], [f_11798])).
% 101.68/49.62  tff(c_1468, plain, (![A_0_741]: (iLEQ(suc(A_0_741), suc(A_0_741)) | E(f(A_0_741), f(suc(A_0_741))))), inference(demodulation, [status(thm), theory('equality')], [c_182, c_182, c_252])).
% 101.68/49.62  tff(c_1212, plain, (![A_0_3616]: (iLEQ(suc(A_0_3616), suc(A_0_3616)) | E(f(A_0_3616), f(suc(suc(A_0_3616)))) | ~E(0, f(A_0_3616)) | ~E(f(A_0_3616), f(suc(A_0_3616))) | ~E(0, f(suc(A_0_3616))) | ~E(0, f(suc(suc(A_0_3616)))))), inference(cnfTransformation, [status(thm)], [f_57237])).
% 101.68/49.62  tff(c_2934, plain, (![A_0_4382]: (iLEQ(suc(A_0_4382), suc(A_0_4382)) | E(f(A_0_4382), f(suc(suc(A_0_4382)))) | ~E(f(A_0_4382), f(suc(A_0_4382))))), inference(demodulation, [status(thm), theory('equality')], [c_182, c_182, c_182, c_1212])).
% 101.68/49.62  tff(c_22, plain, (![A_0_61]: (iLEQ(suc(A_0_61), suc(A_0_61)) | ~E(0, f(A_0_61)) | ~E(0, f(suc(A_0_61))) | ~E(f(A_0_61), f(suc(A_0_61))) | ~E(0, f(suc(suc(suc(A_0_61))))) | ~E(f(A_0_61), f(suc(suc(A_0_61)))) | ~E(0, f(suc(suc(A_0_61)))))), inference(cnfTransformation, [status(thm)], [f_995])).
% 101.68/49.62  tff(c_2910, plain, (![A_0_61]: (iLEQ(suc(A_0_61), suc(A_0_61)) | ~E(f(A_0_61), f(suc(A_0_61))) | ~E(f(A_0_61), f(suc(suc(A_0_61)))))), inference(demodulation, [status(thm), theory('equality')], [c_182, c_182, c_182, c_182, c_22])).
% 101.68/49.62  tff(c_2939, plain, (![A_0_4383]: (iLEQ(suc(A_0_4383), suc(A_0_4383)) | ~E(f(A_0_4383), f(suc(A_0_4383))))), inference(resolution, [status(thm)], [c_2934, c_2910])).
% 101.68/49.62  tff(c_2943, plain, (![A_0_741]: (iLEQ(suc(A_0_741), suc(A_0_741)))), inference(resolution, [status(thm)], [c_1468, c_2939])).
% 101.68/49.62  tff(c_2947, plain, (![A_0_4390]: (iLEQ(suc(A_0_4390), suc(A_0_4390)))), inference(resolution, [status(thm)], [c_1468, c_2939])).
% 101.68/49.62  tff(c_202, plain, (![B_3_591, B_2_595, B_0_594, A_0_593, B_1_596, B_592]: (E(f(B_3_591), f(suc(B_3_591))) | E(f(A_0_593), f(suc(A_0_593))) | E(f(B_2_595), f(suc(B_2_595))) | E(f(B_592), f(suc(B_592))) | E(f(B_0_594), f(suc(B_0_594))) | E(f(B_1_596), f(suc(B_1_596))) | ~iLEQ(suc(B_592), suc(B_0_594)) | ~E(0, f(suc(B_3_591))) | ~E(0, f(A_0_593)) | ~E(0, f(suc(B_1_596))) | ~E(0, f(suc(B_592))) | ~E(0, f(B_3_591)) | ~E(0, f(B_592)) | ~E(0, f(suc(A_0_593))) | ~E(0, f(B_2_595)) | ~E(0, f(B_0_594)) | ~iLEQ(suc(B_2_595), suc(B_3_591)) | ~E(0, f(suc(B_2_595))) | ~E(0, f(suc(B_0_594))) | ~iLEQ(suc(A_0_593), suc(B_592)) | ~E(0, f(B_1_596)) | ~iLEQ(suc(B_0_594), suc(B_1_596)) | ~iLEQ(suc(B_1_596), suc(B_2_595)))), inference(cnfTransformation, [status(thm)], [f_9508])).
% 101.68/49.62  tff(c_1474, plain, (![B_3_591, B_2_595, B_0_594, A_0_593, B_1_596, B_592]: (E(f(B_3_591), f(suc(B_3_591))) | E(f(A_0_593), f(suc(A_0_593))) | E(f(B_2_595), f(suc(B_2_595))) | E(f(B_592), f(suc(B_592))) | E(f(B_0_594), f(suc(B_0_594))) | E(f(B_1_596), f(suc(B_1_596))) | ~iLEQ(suc(B_592), suc(B_0_594)) | ~iLEQ(suc(B_2_595), suc(B_3_591)) | ~iLEQ(suc(A_0_593), suc(B_592)) | ~iLEQ(suc(B_0_594), suc(B_1_596)) | ~iLEQ(suc(B_1_596), suc(B_2_595)))), inference(demodulation, [status(thm), theory('equality')], [c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_202])).
% 101.68/49.62  tff(c_2951, plain, (![B_2_4395, B_3_4392, A_0_4393, A_0_4394, B_1_4391]: (E(f(B_3_4392), f(suc(B_3_4392))) | E(f(A_0_4394), f(suc(A_0_4394))) | E(f(B_2_4395), f(suc(B_2_4395))) | E(f(A_0_4393), f(suc(A_0_4393))) | E(f(B_1_4391), f(suc(B_1_4391))) | ~iLEQ(suc(B_2_4395), suc(B_3_4392)) | ~iLEQ(suc(A_0_4394), suc(A_0_4393)) | ~iLEQ(suc(A_0_4393), suc(B_1_4391)) | ~iLEQ(suc(B_1_4391), suc(B_2_4395)))), inference(resolution, [status(thm)], [c_2947, c_1474])).
% 101.68/49.62  tff(c_2955, plain, (![A_0_4396, A_0_4397, A_0_4398, B_1_4399]: (E(f(A_0_4396), f(suc(A_0_4396))) | E(f(A_0_4397), f(suc(A_0_4397))) | E(f(A_0_4398), f(suc(A_0_4398))) | E(f(B_1_4399), f(suc(B_1_4399))) | ~iLEQ(suc(A_0_4396), suc(A_0_4398)) | ~iLEQ(suc(A_0_4398), suc(B_1_4399)) | ~iLEQ(suc(B_1_4399), suc(A_0_4397)))), inference(resolution, [status(thm)], [c_2943, c_2951])).
% 101.68/49.62  tff(c_2963, plain, (![A_0_4406, A_0_4407, B_1_4408]: (E(f(A_0_4406), f(suc(A_0_4406))) | E(f(A_0_4407), f(suc(A_0_4407))) | E(f(B_1_4408), f(suc(B_1_4408))) | ~iLEQ(suc(A_0_4407), suc(B_1_4408)) | ~iLEQ(suc(B_1_4408), suc(A_0_4406)))), inference(resolution, [status(thm)], [c_2943, c_2955])).
% 101.68/49.62  tff(c_2967, plain, (![A_0_4409, A_0_4410]: (E(f(A_0_4409), f(suc(A_0_4409))) | E(f(A_0_4410), f(suc(A_0_4410))) | ~iLEQ(suc(A_0_4410), suc(A_0_4409)))), inference(resolution, [status(thm)], [c_2943, c_2963])).
% 101.68/49.62  tff(c_2970, plain, (![A_0_741]: (E(f(A_0_741), f(suc(A_0_741))))), inference(resolution, [status(thm)], [c_2943, c_2967])).
% 101.68/49.62  tff(c_226, plain, (![B_0_666, B_664, A_0_665, B_3_663, B_1_668, B_2_667]: (E(f(B_1_668), f(suc(suc(B_1_668)))) | E(f(B_0_666), f(suc(suc(B_0_666)))) | E(f(B_3_663), f(suc(suc(B_3_663)))) | E(f(B_664), f(suc(suc(B_664)))) | E(f(A_0_665), f(suc(suc(A_0_665)))) | E(f(B_2_667), f(suc(suc(B_2_667)))) | ~iLEQ(suc(B_664), suc(B_0_666)) | ~E(0, f(suc(B_3_663))) | ~E(0, f(A_0_665)) | ~E(0, f(suc(suc(B_1_668)))) | ~E(0, f(suc(suc(B_2_667)))) | ~E(0, f(suc(B_1_668))) | ~E(0, f(suc(B_664))) | ~E(0, f(B_3_663)) | ~E(0, f(suc(suc(B_664)))) | ~E(f(B_3_663), f(suc(B_3_663))) | ~E(0, f(B_664)) | ~E(0, f(suc(A_0_665))) | ~E(0, f(B_2_667)) | ~E(0, f(B_0_666)) | ~E(f(A_0_665), f(suc(A_0_665))) | ~E(0, f(suc(suc(B_3_663)))) | ~E(f(B_2_667), f(suc(B_2_667))) | ~iLEQ(suc(B_2_667), suc(B_3_663)) | ~E(0, f(suc(B_2_667))) | ~E(0, f(suc(B_0_666))) | ~iLEQ(suc(A_0_665), suc(B_664)) | ~E(f(B_664), f(suc(B_664))) | ~E(f(B_0_666), f(suc(B_0_666))) | ~E(0, f(suc(suc(B_0_666)))) | ~E(0, f(B_1_668)) | ~iLEQ(suc(B_0_666), suc(B_1_668)) | ~E(0, f(suc(suc(A_0_665)))) | ~iLEQ(suc(B_1_668), suc(B_2_667)) | ~E(f(B_1_668), f(suc(B_1_668))))), inference(cnfTransformation, [status(thm)], [f_10660])).
% 101.68/49.62  tff(c_2708, plain, (![B_0_666, B_664, A_0_665, B_3_663, B_1_668, B_2_667]: (E(f(B_1_668), f(suc(suc(B_1_668)))) | E(f(B_0_666), f(suc(suc(B_0_666)))) | E(f(B_3_663), f(suc(suc(B_3_663)))) | E(f(B_664), f(suc(suc(B_664)))) | E(f(A_0_665), f(suc(suc(A_0_665)))) | E(f(B_2_667), f(suc(suc(B_2_667)))) | ~iLEQ(suc(B_664), suc(B_0_666)) | ~E(f(B_3_663), f(suc(B_3_663))) | ~E(f(A_0_665), f(suc(A_0_665))) | ~E(f(B_2_667), f(suc(B_2_667))) | ~iLEQ(suc(B_2_667), suc(B_3_663)) | ~iLEQ(suc(A_0_665), suc(B_664)) | ~E(f(B_664), f(suc(B_664))) | ~E(f(B_0_666), f(suc(B_0_666))) | ~iLEQ(suc(B_0_666), suc(B_1_668)) | ~iLEQ(suc(B_1_668), suc(B_2_667)) | ~E(f(B_1_668), f(suc(B_1_668))))), inference(demodulation, [status(thm), theory('equality')], [c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_226])).
% 101.68/49.62  tff(c_4310, plain, (![B_0_4426, B_4428, B_2_4424, B_1_4427, A_0_4423, B_3_4425]: (E(f(B_1_4427), f(suc(suc(B_1_4427)))) | E(f(B_0_4426), f(suc(suc(B_0_4426)))) | E(f(B_3_4425), f(suc(suc(B_3_4425)))) | E(f(B_4428), f(suc(suc(B_4428)))) | E(f(A_0_4423), f(suc(suc(A_0_4423)))) | E(f(B_2_4424), f(suc(suc(B_2_4424)))) | ~iLEQ(suc(B_4428), suc(B_0_4426)) | ~iLEQ(suc(B_2_4424), suc(B_3_4425)) | ~iLEQ(suc(A_0_4423), suc(B_4428)) | ~iLEQ(suc(B_0_4426), suc(B_1_4427)) | ~iLEQ(suc(B_1_4427), suc(B_2_4424)))), inference(demodulation, [status(thm), theory('equality')], [c_2970, c_2970, c_2970, c_2970, c_2970, c_2970, c_2708])).
% 101.68/49.62  tff(c_4314, plain, (![B_1_4432, A_0_4433, A_0_4429, B_2_4431, B_3_4430]: (E(f(B_1_4432), f(suc(suc(B_1_4432)))) | E(f(B_3_4430), f(suc(suc(B_3_4430)))) | E(f(A_0_4433), f(suc(suc(A_0_4433)))) | E(f(A_0_4429), f(suc(suc(A_0_4429)))) | E(f(B_2_4431), f(suc(suc(B_2_4431)))) | ~iLEQ(suc(B_2_4431), suc(B_3_4430)) | ~iLEQ(suc(A_0_4429), suc(A_0_4433)) | ~iLEQ(suc(A_0_4433), suc(B_1_4432)) | ~iLEQ(suc(B_1_4432), suc(B_2_4431)))), inference(resolution, [status(thm)], [c_2943, c_4310])).
% 101.68/49.62  tff(c_4318, plain, (![B_1_4434, A_0_4435, A_0_4436, A_0_4437]: (E(f(B_1_4434), f(suc(suc(B_1_4434)))) | E(f(A_0_4435), f(suc(suc(A_0_4435)))) | E(f(A_0_4436), f(suc(suc(A_0_4436)))) | E(f(A_0_4437), f(suc(suc(A_0_4437)))) | ~iLEQ(suc(A_0_4436), suc(A_0_4435)) | ~iLEQ(suc(A_0_4435), suc(B_1_4434)) | ~iLEQ(suc(B_1_4434), suc(A_0_4437)))), inference(resolution, [status(thm)], [c_2943, c_4314])).
% 101.68/49.62  tff(c_4322, plain, (![B_1_4438, A_0_4439, A_0_4440]: (E(f(B_1_4438), f(suc(suc(B_1_4438)))) | E(f(A_0_4439), f(suc(suc(A_0_4439)))) | E(f(A_0_4440), f(suc(suc(A_0_4440)))) | ~iLEQ(suc(A_0_4439), suc(B_1_4438)) | ~iLEQ(suc(B_1_4438), suc(A_0_4440)))), inference(resolution, [status(thm)], [c_2943, c_4318])).
% 101.68/49.62  tff(c_4326, plain, (![A_0_4441, A_0_4442]: (E(f(A_0_4441), f(suc(suc(A_0_4441)))) | E(f(A_0_4442), f(suc(suc(A_0_4442)))) | ~iLEQ(suc(A_0_4441), suc(A_0_4442)))), inference(resolution, [status(thm)], [c_2943, c_4322])).
% 101.68/49.62  tff(c_4329, plain, (![A_0_741]: (E(f(A_0_741), f(suc(suc(A_0_741)))))), inference(resolution, [status(thm)], [c_2943, c_4326])).
% 101.68/49.62  tff(c_1002, plain, (![B_3_2986, B_0_2989, B_1_2991, B_2987, B_2_2990, A_0_2988]: (~E(f(B_1_2991), f(suc(suc(B_1_2991)))) | ~iLEQ(suc(B_2987), suc(B_0_2989)) | ~E(0, f(suc(B_3_2986))) | ~E(f(B_0_2989), f(suc(suc(B_0_2989)))) | ~E(f(B_3_2986), f(suc(suc(B_3_2986)))) | ~E(0, f(A_0_2988)) | ~E(0, f(suc(suc(B_1_2991)))) | ~E(0, f(suc(suc(B_2_2990)))) | ~E(0, f(suc(B_1_2991))) | ~E(0, f(suc(B_2987))) | ~E(0, f(suc(suc(suc(B_1_2991))))) | ~E(0, f(B_3_2986)) | ~E(f(B_2987), f(suc(suc(B_2987)))) | ~E(0, f(suc(suc(B_2987)))) | ~E(f(B_3_2986), f(suc(B_3_2986))) | ~E(0, f(B_2987)) | ~E(0, f(suc(A_0_2988))) | ~E(0, f(B_2_2990)) | ~E(0, f(B_0_2989)) | ~E(f(A_0_2988), f(suc(A_0_2988))) | ~E(0, f(suc(suc(B_3_2986)))) | ~E(f(B_2_2990), f(suc(B_2_2990))) | ~E(0, f(suc(suc(suc(A_0_2988))))) | ~iLEQ(suc(B_2_2990), suc(B_3_2986)) | ~E(0, f(suc(B_2_2990))) | ~E(0, f(suc(B_0_2989))) | ~E(f(A_0_2988), f(suc(suc(A_0_2988)))) | ~iLEQ(suc(A_0_2988), suc(B_2987)) | ~E(f(B_2987), f(suc(B_2987))) | ~E(0, f(suc(suc(suc(B_2987))))) | ~E(f(B_0_2989), f(suc(B_0_2989))) | ~E(0, f(suc(suc(suc(B_0_2989))))) | ~E(0, f(suc(suc(B_0_2989)))) | ~E(0, f(suc(suc(suc(B_3_2986))))) | ~E(0, f(B_1_2991)) | ~iLEQ(suc(B_0_2989), suc(B_1_2991)) | ~E(0, f(suc(suc(A_0_2988)))) | ~iLEQ(suc(B_1_2991), suc(B_2_2990)) | ~E(f(B_1_2991), f(suc(B_1_2991))) | ~E(f(B_2_2990), f(suc(suc(B_2_2990)))) | ~E(0, f(suc(suc(suc(B_2_2990))))))), inference(cnfTransformation, [status(thm)], [f_47411])).
% 101.68/49.62  tff(c_2398, plain, (![B_3_2986, B_0_2989, B_1_2991, B_2987, B_2_2990, A_0_2988]: (~E(f(B_1_2991), f(suc(suc(B_1_2991)))) | ~iLEQ(suc(B_2987), suc(B_0_2989)) | ~E(f(B_0_2989), f(suc(suc(B_0_2989)))) | ~E(f(B_3_2986), f(suc(suc(B_3_2986)))) | ~E(f(B_2987), f(suc(suc(B_2987)))) | ~E(f(B_3_2986), f(suc(B_3_2986))) | ~E(f(A_0_2988), f(suc(A_0_2988))) | ~E(f(B_2_2990), f(suc(B_2_2990))) | ~iLEQ(suc(B_2_2990), suc(B_3_2986)) | ~E(f(A_0_2988), f(suc(suc(A_0_2988)))) | ~iLEQ(suc(A_0_2988), suc(B_2987)) | ~E(f(B_2987), f(suc(B_2987))) | ~E(f(B_0_2989), f(suc(B_0_2989))) | ~iLEQ(suc(B_0_2989), suc(B_1_2991)) | ~iLEQ(suc(B_1_2991), suc(B_2_2990)) | ~E(f(B_1_2991), f(suc(B_1_2991))) | ~E(f(B_2_2990), f(suc(suc(B_2_2990)))))), inference(demodulation, [status(thm), theory('equality')], [c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_182, c_1002])).
% 101.68/49.62  tff(c_4344, plain, (![A_0_4449, B_2_4444, B_3_4446, B_0_4447, B_1_4445, B_4448]: (~iLEQ(suc(B_4448), suc(B_0_4447)) | ~iLEQ(suc(B_2_4444), suc(B_3_4446)) | ~iLEQ(suc(A_0_4449), suc(B_4448)) | ~iLEQ(suc(B_0_4447), suc(B_1_4445)) | ~iLEQ(suc(B_1_4445), suc(B_2_4444)))), inference(demodulation, [status(thm), theory('equality')], [c_4329, c_2970, c_2970, c_2970, c_4329, c_2970, c_2970, c_2970, c_4329, c_4329, c_4329, c_4329, c_2398])).
% 101.68/49.62  tff(c_4348, plain, (![B_2_4452, A_0_4454, B_1_4450, A_0_4451, B_3_4453]: (~iLEQ(suc(B_2_4452), suc(B_3_4453)) | ~iLEQ(suc(A_0_4451), suc(A_0_4454)) | ~iLEQ(suc(A_0_4454), suc(B_1_4450)) | ~iLEQ(suc(B_1_4450), suc(B_2_4452)))), inference(resolution, [status(thm)], [c_2943, c_4344])).
% 101.68/49.62  tff(c_4352, plain, (![A_0_4455, A_0_4456, B_1_4457, A_0_4458]: (~iLEQ(suc(A_0_4455), suc(A_0_4456)) | ~iLEQ(suc(A_0_4456), suc(B_1_4457)) | ~iLEQ(suc(B_1_4457), suc(A_0_4458)))), inference(resolution, [status(thm)], [c_2943, c_4348])).
% 101.68/49.62  tff(c_4356, plain, (![A_0_4459, B_1_4460, A_0_4461]: (~iLEQ(suc(A_0_4459), suc(B_1_4460)) | ~iLEQ(suc(B_1_4460), suc(A_0_4461)))), inference(resolution, [status(thm)], [c_2943, c_4352])).
% 101.68/49.62  tff(c_4359, plain, (![A_0_741, A_0_4461]: (~iLEQ(suc(A_0_741), suc(A_0_4461)))), inference(resolution, [status(thm)], [c_2943, c_4356])).
% 101.68/49.62  tff(c_4361, plain, $false, inference(negUnitSimplification, [status(thm)], [c_4359, c_2943])).
% 101.68/49.62  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.68/49.62  
% 101.68/49.62  Inference rules
% 101.68/49.62  ----------------------
% 101.68/49.62  #Ref     : 0
% 101.68/49.62  #Sup     : 18
% 101.68/49.62  #Fact    : 0
% 101.68/49.62  #Define  : 0
% 101.68/49.62  #Split   : 0
% 101.68/49.62  #Chain   : 0
% 101.68/49.62  #Close   : 0
% 101.68/49.62  
% 101.68/49.62  Ordering : KBO
% 101.68/49.62  
% 101.68/49.62  Simplification rules
% 101.68/49.62  ----------------------
% 101.68/49.62  #Subsume      : 16
% 101.68/49.62  #Demod        : 17197
% 101.68/49.62  #Tautology    : 673
% 101.68/49.62  #SimpNegUnit  : 1
% 101.68/49.62  #BackRed      : 1
% 101.68/49.62  
% 101.68/49.62  #Partial instantiations: 0
% 101.68/49.62  #Strategies tried      : 1
% 101.68/49.62  
% 101.68/49.62  Timing (in seconds)
% 101.68/49.62  ----------------------
% 101.68/49.62  Preprocessing        : 8.61
% 101.68/49.62  Parsing              : 6.66
% 101.68/49.63  CNF conversion       : 0.27
% 101.68/49.63  Main loop            : 39.90
% 101.68/49.63  Inferencing          : 0.11
% 101.68/49.63  Reduction            : 5.52
% 101.68/49.63  Demodulation         : 5.09
% 101.68/49.63  BG Simplification    : 0.62
% 101.68/49.63  Subsumption          : 33.91
% 101.68/49.63  Abstraction          : 0.10
% 101.68/49.63  MUC search           : 0.00
% 101.68/49.63  Cooper               : 0.00
% 101.68/49.63  Total                : 48.59
% 101.68/49.63  Index Insertion      : 0.00
% 101.68/49.63  Index Deletion       : 0.00
% 101.68/49.63  Index Matching       : 0.00
% 101.68/49.63  BG Taut test         : 0.00
%------------------------------------------------------------------------------