TSTP Solution File: SYO890_16 by Beagle---0.9.51

View Problem - Process Solution

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% File     : Beagle---0.9.51
% Problem  : SYO890_16 : TPTP v8.2.0. Released v8.2.0.
% 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 : n022.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 11:18:35 EDT 2023

% Result   : Theorem 2.99s 1.78s
% Output   : CNFRefutation 2.99s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYO890_16 : TPTP v8.2.0. Released v8.2.0.
% 0.12/0.14  % 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 : n022.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 15:58:18 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 2.99/1.78  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.99/1.78  
% 2.99/1.78  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.99/1.79  %$ f > e > #nlpp > #skF_1 > #skF_2 > #skF_3
% 2.99/1.79  
% 2.99/1.79  %Foreground sorts:
% 2.99/1.79  tff($ki_world, type, $ki_world: $tType ).
% 2.99/1.79  
% 2.99/1.79  %Background operators:
% 2.99/1.79  
% 2.99/1.79  
% 2.99/1.79  %Foreground operators:
% 2.99/1.79  tff(e, type, e: ($ki_world * $i) > $o).
% 2.99/1.79  tff('#skF_1', type, '#skF_1': $ki_world > $i).
% 2.99/1.79  tff(f, type, f: ($ki_world * $i) > $o).
% 2.99/1.79  tff('#skF_2', type, '#skF_2': $i).
% 2.99/1.79  tff('#skF_3', type, '#skF_3': $ki_world).
% 2.99/1.79  
% 2.99/1.80  tff(f_63, negated_conjecture, ~((?[X]: ($ki_exists_in_world_$i($ki_local_world, X) & (![W:$ki_world]: ($ki_accessible($ki_local_world, W) => (e(W, X) & f(W, X)))))) => (![W:$ki_world]: ($ki_accessible($ki_local_world, W) => (?[X]: ($ki_exists_in_world_$i(W, X) & f(W, X)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', verify)).
% 2.99/1.80  tff(f_42, axiom, (![W:$ki_world, V:$ki_world, X]: (($ki_exists_in_world_$i(W, X) & $ki_accessible(W, V)) => $ki_exists_in_world_$i(V, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', $ki_exists_in_world_$i_cumul)).
% 2.99/1.80  tff(c_12, plain, ($ki_accessible($ki_local_world, '#skF_3')), inference(cnfTransformation, [status(thm)], [f_63])).
% 2.99/1.80  tff(c_16, plain, (![W_11:$ki_world]: (f(W_11, '#skF_2') | ~$ki_accessible($ki_local_world, W_11))), inference(cnfTransformation, [status(thm)], [f_63])).
% 2.99/1.80  tff(c_22, plain, (![X_17]: (~f('#skF_3', X_17) | ~$ki_exists_in_world_$i('#skF_3', X_17))), inference(cnfTransformation, [status(thm)], [f_63])).
% 2.99/1.80  tff(c_26, plain, (~$ki_exists_in_world_$i('#skF_3', '#skF_2') | ~$ki_accessible($ki_local_world, '#skF_3')), inference(resolution, [status(thm)], [c_16, c_22])).
% 2.99/1.80  tff(c_29, plain, (~$ki_exists_in_world_$i('#skF_3', '#skF_2')), inference(demodulation, [status(thm), theory('equality')], [c_12, c_26])).
% 2.99/1.80  tff(c_14, plain, ($ki_exists_in_world_$i($ki_local_world, '#skF_2')), inference(cnfTransformation, [status(thm)], [f_63])).
% 2.99/1.80  tff(c_31, plain, (![V_19:$ki_world, X_20, W_21:$ki_world]: ($ki_exists_in_world_$i(V_19, X_20) | ~$ki_accessible(W_21, V_19) | ~$ki_exists_in_world_$i(W_21, X_20))), inference(cnfTransformation, [status(thm)], [f_42])).
% 2.99/1.80  tff(c_38, plain, (![X_22]: ($ki_exists_in_world_$i('#skF_3', X_22) | ~$ki_exists_in_world_$i($ki_local_world, X_22))), inference(resolution, [status(thm)], [c_12, c_31])).
% 2.99/1.80  tff(c_45, plain, ($ki_exists_in_world_$i('#skF_3', '#skF_2')), inference(resolution, [status(thm)], [c_14, c_38])).
% 2.99/1.80  tff(c_50, plain, $false, inference(negUnitSimplification, [status(thm)], [c_29, c_45])).
% 2.99/1.80  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.99/1.80  
% 2.99/1.80  Inference rules
% 2.99/1.80  ----------------------
% 2.99/1.80  #Ref     : 0
% 2.99/1.80  #Sup     : 5
% 2.99/1.80  #Fact    : 0
% 2.99/1.80  #Define  : 0
% 2.99/1.80  #Split   : 0
% 2.99/1.80  #Chain   : 0
% 2.99/1.80  #Close   : 0
% 2.99/1.80  
% 2.99/1.80  Ordering : KBO
% 2.99/1.80  
% 2.99/1.80  Simplification rules
% 2.99/1.80  ----------------------
% 2.99/1.80  #Subsume      : 0
% 2.99/1.80  #Demod        : 1
% 2.99/1.80  #Tautology    : 1
% 2.99/1.80  #SimpNegUnit  : 1
% 2.99/1.80  #BackRed      : 0
% 2.99/1.80  
% 2.99/1.80  #Partial instantiations: 0
% 2.99/1.80  #Strategies tried      : 1
% 2.99/1.80  
% 2.99/1.80  Timing (in seconds)
% 2.99/1.80  ----------------------
% 2.99/1.81  Preprocessing        : 0.48
% 2.99/1.81  Parsing              : 0.29
% 2.99/1.81  CNF conversion       : 0.03
% 2.99/1.81  Main loop            : 0.16
% 2.99/1.81  Inferencing          : 0.07
% 2.99/1.81  Reduction            : 0.04
% 2.99/1.81  Demodulation         : 0.03
% 2.99/1.81  BG Simplification    : 0.01
% 2.99/1.81  Subsumption          : 0.04
% 2.99/1.81  Abstraction          : 0.01
% 2.99/1.81  MUC search           : 0.00
% 2.99/1.81  Cooper               : 0.00
% 2.99/1.81  Total                : 0.68
% 2.99/1.81  Index Insertion      : 0.00
% 2.99/1.81  Index Deletion       : 0.00
% 2.99/1.81  Index Matching       : 0.00
% 2.99/1.81  BG Taut test         : 0.00
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