TSTP Solution File: PLA053_2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PLA053_2 : 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/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 : n013.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 10:53:42 EDT 2023
% Result : Theorem 3.08s 1.74s
% Output : CNFRefutation 3.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : PLA053_2 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.15 % 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
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 3 18:15:47 EDT 2023
% 0.16/0.36 % CPUTime :
% 3.08/1.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.08/1.74
% 3.08/1.74 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.08/1.76 %$ h > defused > bomb > #nlpp > #skF_5 > #skF_4 > #skF_1 > #skF_2 > #skF_6 > #skF_3
% 3.08/1.76
% 3.08/1.76 %Foreground sorts:
% 3.08/1.76 tff($ki_world, type, $ki_world: $tType ).
% 3.08/1.76
% 3.08/1.76 %Background operators:
% 3.08/1.76
% 3.08/1.76
% 3.08/1.76 %Foreground operators:
% 3.08/1.76 tff(defused, type, defused: ($ki_world * $i) > $o).
% 3.08/1.76 tff('#skF_5', type, '#skF_5': $ki_world).
% 3.08/1.76 tff('#skF_4', type, '#skF_4': ($ki_world * $i) > $i).
% 3.08/1.76 tff('#skF_1', type, '#skF_1': $ki_world > $i).
% 3.08/1.76 tff(h, type, h: ($ki_world * $i) > $o).
% 3.08/1.76 tff(bomb, type, bomb: ($ki_world * $i) > $o).
% 3.08/1.76 tff('#skF_2', type, '#skF_2': $ki_world > $i).
% 3.08/1.76 tff('#skF_6', type, '#skF_6': $i).
% 3.08/1.76 tff('#skF_3', type, '#skF_3': $i).
% 3.08/1.76
% 3.08/1.77 tff(f_32, axiom, (![W:$ki_world, X]: $ki_exists_in_world_$i(W, X)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', $ki_exists_in_world_$i_const)).
% 3.08/1.77 tff(f_91, negated_conjecture, ~(![W:$ki_world]: ($ki_accessible($ki_local_world, W) => (![X]: ($ki_exists_in_world_$i(W, X) => (?[D]: ($ki_exists_in_world_$i(W, D) & ((bomb(W, X) & h(W, D)) => defused(W, X)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', verify)).
% 3.08/1.77 tff(f_30, axiom, (![W:$ki_world]: $ki_accessible(W, W)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mrel_reflexive)).
% 3.08/1.77 tff(f_76, axiom, (![W:$ki_world]: ($ki_accessible($ki_local_world, W) => (![X]: ($ki_exists_in_world_$i(W, X) => (?[D]: ($ki_exists_in_world_$i(W, D) & (![W0:$ki_world]: ($ki_accessible(W, W0) => ((bomb(W0, X) & h(W0, D)) => defused(W0, X)))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax3)).
% 3.08/1.77 tff(c_4, plain, (![W_2:$ki_world, X_3]: ($ki_exists_in_world_$i(W_2, X_3))), inference(cnfTransformation, [status(thm)], [f_32])).
% 3.08/1.77 tff(c_28, plain, (![D_40]: (bomb('#skF_5', '#skF_6') | ~$ki_exists_in_world_$i('#skF_5', D_40))), inference(cnfTransformation, [status(thm)], [f_91])).
% 3.08/1.77 tff(c_33, plain, (bomb('#skF_5', '#skF_6')), inference(demodulation, [status(thm), theory('equality')], [c_4, c_28])).
% 3.08/1.77 tff(c_22, plain, ($ki_accessible($ki_local_world, '#skF_5')), inference(cnfTransformation, [status(thm)], [f_91])).
% 3.08/1.77 tff(c_2, plain, (![W_1:$ki_world]: ($ki_accessible(W_1, W_1))), inference(cnfTransformation, [status(thm)], [f_30])).
% 3.08/1.77 tff(c_26, plain, (![D_40]: (h('#skF_5', D_40) | ~$ki_exists_in_world_$i('#skF_5', D_40))), inference(cnfTransformation, [status(thm)], [f_91])).
% 3.08/1.77 tff(c_39, plain, (![D_40]: (h('#skF_5', D_40))), inference(demodulation, [status(thm), theory('equality')], [c_4, c_26])).
% 3.08/1.77 tff(c_16, plain, (![W0_35:$ki_world, X_30, W_22:$ki_world]: (defused(W0_35, X_30) | ~h(W0_35, '#skF_4'(W_22, X_30)) | ~bomb(W0_35, X_30) | ~$ki_accessible(W_22, W0_35) | ~$ki_exists_in_world_$i(W_22, X_30) | ~$ki_accessible($ki_local_world, W_22))), inference(cnfTransformation, [status(thm)], [f_76])).
% 3.08/1.77 tff(c_59, plain, (![W0_49:$ki_world, X_50, W_51:$ki_world]: (defused(W0_49, X_50) | ~h(W0_49, '#skF_4'(W_51, X_50)) | ~bomb(W0_49, X_50) | ~$ki_accessible(W_51, W0_49) | ~$ki_accessible($ki_local_world, W_51))), inference(demodulation, [status(thm), theory('equality')], [c_4, c_16])).
% 3.08/1.77 tff(c_64, plain, (![X_50, W_51:$ki_world]: (defused('#skF_5', X_50) | ~bomb('#skF_5', X_50) | ~$ki_accessible(W_51, '#skF_5') | ~$ki_accessible($ki_local_world, W_51))), inference(resolution, [status(thm)], [c_39, c_59])).
% 3.08/1.77 tff(c_66, plain, (![W_52:$ki_world]: (~$ki_accessible(W_52, '#skF_5') | ~$ki_accessible($ki_local_world, W_52))), inference(splitLeft, [status(thm)], [c_64])).
% 3.08/1.77 tff(c_69, plain, (~$ki_accessible($ki_local_world, '#skF_5')), inference(resolution, [status(thm)], [c_2, c_66])).
% 3.08/1.77 tff(c_75, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_22, c_69])).
% 3.08/1.77 tff(c_77, plain, (![X_53]: (defused('#skF_5', X_53) | ~bomb('#skF_5', X_53))), inference(splitRight, [status(thm)], [c_64])).
% 3.08/1.77 tff(c_24, plain, (![D_40]: (~defused('#skF_5', '#skF_6') | ~$ki_exists_in_world_$i('#skF_5', D_40))), inference(cnfTransformation, [status(thm)], [f_91])).
% 3.08/1.77 tff(c_35, plain, (~defused('#skF_5', '#skF_6')), inference(demodulation, [status(thm), theory('equality')], [c_4, c_24])).
% 3.08/1.77 tff(c_80, plain, (~bomb('#skF_5', '#skF_6')), inference(resolution, [status(thm)], [c_77, c_35])).
% 3.08/1.77 tff(c_84, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_33, c_80])).
% 3.08/1.77 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.08/1.77
% 3.08/1.77 Inference rules
% 3.08/1.77 ----------------------
% 3.08/1.77 #Ref : 0
% 3.08/1.77 #Sup : 6
% 3.08/1.77 #Fact : 0
% 3.08/1.77 #Define : 0
% 3.08/1.77 #Split : 2
% 3.08/1.77 #Chain : 0
% 3.08/1.77 #Close : 0
% 3.08/1.77
% 3.08/1.77 Ordering : KBO
% 3.08/1.77
% 3.08/1.77 Simplification rules
% 3.08/1.77 ----------------------
% 3.08/1.77 #Subsume : 0
% 3.08/1.77 #Demod : 14
% 3.08/1.77 #Tautology : 6
% 3.08/1.77 #SimpNegUnit : 0
% 3.08/1.77 #BackRed : 0
% 3.08/1.77
% 3.08/1.77 #Partial instantiations: 0
% 3.08/1.77 #Strategies tried : 1
% 3.08/1.77
% 3.08/1.77 Timing (in seconds)
% 3.08/1.77 ----------------------
% 3.08/1.77 Preprocessing : 0.51
% 3.08/1.77 Parsing : 0.30
% 3.08/1.77 CNF conversion : 0.04
% 3.08/1.77 Main loop : 0.19
% 3.08/1.77 Inferencing : 0.07
% 3.08/1.77 Reduction : 0.05
% 3.08/1.77 Demodulation : 0.04
% 3.08/1.77 BG Simplification : 0.02
% 3.08/1.77 Subsumption : 0.05
% 3.08/1.77 Abstraction : 0.01
% 3.08/1.77 MUC search : 0.00
% 3.08/1.77 Cooper : 0.00
% 3.08/1.77 Total : 0.74
% 3.08/1.77 Index Insertion : 0.00
% 3.08/1.77 Index Deletion : 0.00
% 3.08/1.77 Index Matching : 0.00
% 3.08/1.77 BG Taut test : 0.00
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