TSTP Solution File: PLA053_4 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PLA053_4 : 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 : 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 10:53:42 EDT 2023
% Result : Theorem 3.15s 1.75s
% Output : CNFRefutation 3.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PLA053_4 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.13 % 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
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 18:16:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.15/1.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.15/1.76
% 3.15/1.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.15/1.77 %$ h > defused > bomb > #nlpp > #skF_5 > #skF_4 > #skF_1 > #skF_2 > #skF_6 > #skF_3
% 3.15/1.77
% 3.15/1.77 %Foreground sorts:
% 3.15/1.77 tff($ki_world, type, $ki_world: $tType ).
% 3.15/1.77
% 3.15/1.77 %Background operators:
% 3.15/1.77
% 3.15/1.77
% 3.15/1.77 %Foreground operators:
% 3.15/1.77 tff(defused, type, defused: ($ki_world * $i) > $o).
% 3.15/1.77 tff('#skF_5', type, '#skF_5': $ki_world).
% 3.15/1.77 tff('#skF_4', type, '#skF_4': ($ki_world * $i) > $i).
% 3.15/1.77 tff('#skF_1', type, '#skF_1': $ki_world > $i).
% 3.15/1.77 tff(h, type, h: ($ki_world * $i) > $o).
% 3.15/1.77 tff(bomb, type, bomb: ($ki_world * $i) > $o).
% 3.15/1.77 tff('#skF_2', type, '#skF_2': $ki_world > $i).
% 3.15/1.77 tff('#skF_6', type, '#skF_6': $i).
% 3.15/1.77 tff('#skF_3', type, '#skF_3': $i).
% 3.15/1.77
% 3.15/1.78 tff(f_38, axiom, (![W:$ki_world, X]: $ki_exists_in_world_$i(W, X)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', $ki_exists_in_world_$i_const)).
% 3.15/1.78 tff(f_97, negated_conjecture, ~(![W:$ki_world]: ($ki_accessible($ki_local_world, W) => (![X]: ($ki_exists_in_world_$i(W, X) => (?[D]: ($ki_exists_in_world_$i(W, D) & ((bomb(W, X) & h(W, D)) => defused(W, X)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', verify)).
% 3.15/1.78 tff(f_30, axiom, (![W:$ki_world]: $ki_accessible(W, W)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mrel_reflexive)).
% 3.15/1.78 tff(f_82, axiom, (![W:$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)).
% 3.15/1.78 tff(c_6, plain, (![W_5:$ki_world, X_6]: ($ki_exists_in_world_$i(W_5, X_6))), inference(cnfTransformation, [status(thm)], [f_38])).
% 3.15/1.78 tff(c_30, plain, (![D_43]: (bomb('#skF_5', '#skF_6') | ~$ki_exists_in_world_$i('#skF_5', D_43))), inference(cnfTransformation, [status(thm)], [f_97])).
% 3.15/1.78 tff(c_35, plain, (bomb('#skF_5', '#skF_6')), inference(demodulation, [status(thm), theory('equality')], [c_6, c_30])).
% 3.15/1.78 tff(c_24, plain, ($ki_accessible($ki_local_world, '#skF_5')), inference(cnfTransformation, [status(thm)], [f_97])).
% 3.15/1.78 tff(c_2, plain, (![W_1:$ki_world]: ($ki_accessible(W_1, W_1))), inference(cnfTransformation, [status(thm)], [f_30])).
% 3.15/1.78 tff(c_28, plain, (![D_43]: (h('#skF_5', D_43) | ~$ki_exists_in_world_$i('#skF_5', D_43))), inference(cnfTransformation, [status(thm)], [f_97])).
% 3.15/1.78 tff(c_41, plain, (![D_43]: (h('#skF_5', D_43))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_28])).
% 3.15/1.78 tff(c_18, plain, (![W0_38:$ki_world, X_33, W_25:$ki_world]: (defused(W0_38, X_33) | ~h(W0_38, '#skF_4'(W_25, X_33)) | ~bomb(W0_38, X_33) | ~$ki_accessible(W_25, W0_38) | ~$ki_exists_in_world_$i(W_25, X_33) | ~$ki_accessible($ki_local_world, W_25))), inference(cnfTransformation, [status(thm)], [f_82])).
% 3.15/1.78 tff(c_75, plain, (![W0_56:$ki_world, X_57, W_58:$ki_world]: (defused(W0_56, X_57) | ~h(W0_56, '#skF_4'(W_58, X_57)) | ~bomb(W0_56, X_57) | ~$ki_accessible(W_58, W0_56) | ~$ki_accessible($ki_local_world, W_58))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_18])).
% 3.15/1.78 tff(c_80, plain, (![X_57, W_58:$ki_world]: (defused('#skF_5', X_57) | ~bomb('#skF_5', X_57) | ~$ki_accessible(W_58, '#skF_5') | ~$ki_accessible($ki_local_world, W_58))), inference(resolution, [status(thm)], [c_41, c_75])).
% 3.15/1.78 tff(c_82, plain, (![W_59:$ki_world]: (~$ki_accessible(W_59, '#skF_5') | ~$ki_accessible($ki_local_world, W_59))), inference(splitLeft, [status(thm)], [c_80])).
% 3.15/1.78 tff(c_85, plain, (~$ki_accessible($ki_local_world, '#skF_5')), inference(resolution, [status(thm)], [c_2, c_82])).
% 3.15/1.78 tff(c_91, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_24, c_85])).
% 3.15/1.78 tff(c_93, plain, (![X_60]: (defused('#skF_5', X_60) | ~bomb('#skF_5', X_60))), inference(splitRight, [status(thm)], [c_80])).
% 3.15/1.78 tff(c_26, plain, (![D_43]: (~defused('#skF_5', '#skF_6') | ~$ki_exists_in_world_$i('#skF_5', D_43))), inference(cnfTransformation, [status(thm)], [f_97])).
% 3.15/1.78 tff(c_37, plain, (~defused('#skF_5', '#skF_6')), inference(demodulation, [status(thm), theory('equality')], [c_6, c_26])).
% 3.15/1.78 tff(c_96, plain, (~bomb('#skF_5', '#skF_6')), inference(resolution, [status(thm)], [c_93, c_37])).
% 3.15/1.78 tff(c_100, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_35, c_96])).
% 3.15/1.78 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.15/1.78
% 3.15/1.78 Inference rules
% 3.15/1.78 ----------------------
% 3.15/1.78 #Ref : 0
% 3.15/1.78 #Sup : 9
% 3.15/1.78 #Fact : 0
% 3.15/1.78 #Define : 0
% 3.15/1.78 #Split : 2
% 3.15/1.78 #Chain : 0
% 3.15/1.78 #Close : 0
% 3.15/1.78
% 3.15/1.78 Ordering : KBO
% 3.15/1.78
% 3.15/1.78 Simplification rules
% 3.15/1.78 ----------------------
% 3.15/1.78 #Subsume : 0
% 3.15/1.78 #Demod : 15
% 3.15/1.78 #Tautology : 8
% 3.15/1.78 #SimpNegUnit : 0
% 3.15/1.78 #BackRed : 0
% 3.15/1.78
% 3.15/1.78 #Partial instantiations: 0
% 3.15/1.78 #Strategies tried : 1
% 3.15/1.78
% 3.15/1.79 Timing (in seconds)
% 3.15/1.79 ----------------------
% 3.15/1.79 Preprocessing : 0.51
% 3.15/1.79 Parsing : 0.30
% 3.15/1.79 CNF conversion : 0.04
% 3.15/1.79 Main loop : 0.21
% 3.15/1.79 Inferencing : 0.08
% 3.15/1.79 Reduction : 0.05
% 3.15/1.79 Demodulation : 0.04
% 3.15/1.79 BG Simplification : 0.02
% 3.15/1.79 Subsumption : 0.06
% 3.15/1.79 Abstraction : 0.01
% 3.15/1.79 MUC search : 0.00
% 3.15/1.79 Cooper : 0.00
% 3.15/1.79 Total : 0.77
% 3.15/1.79 Index Insertion : 0.00
% 3.15/1.79 Index Deletion : 0.00
% 3.15/1.79 Index Matching : 0.00
% 3.15/1.79 BG Taut test : 0.00
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