TSTP Solution File: LCL962_16 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL962_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/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 : n005.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 10:49:19 EDT 2023
% Result : Theorem 3.02s 1.74s
% Output : CNFRefutation 3.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : LCL962_16 : TPTP v8.2.0. Released v8.2.0.
% 0.13/0.15 % 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
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 13:41:41 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.02/1.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.02/1.75
% 3.02/1.75 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.02/1.76 %$ p > #nlpp > #idx(b) > #idx(a) > #skF_2 > #skF_1
% 3.02/1.76
% 3.02/1.76 %Foreground sorts:
% 3.02/1.76 tff($ki_index, type, $ki_index: $tType ).
% 3.02/1.76 tff($ki_world, type, $ki_world: $tType ).
% 3.02/1.76
% 3.02/1.76 %Background operators:
% 3.02/1.76
% 3.02/1.76
% 3.02/1.76 %Foreground operators:
% 3.02/1.76 tff('#idx(b)', type, '#idx(b)': $ki_index).
% 3.02/1.76 tff(p, type, p: $ki_world > $o).
% 3.02/1.76 tff('#idx(a)', type, '#idx(a)': $ki_index).
% 3.02/1.76 tff('#skF_2', type, '#skF_2': $ki_world).
% 3.02/1.76 tff('#skF_1', type, '#skF_1': $ki_world > $ki_world).
% 3.02/1.76
% 3.19/1.77 tff(f_71, axiom, ~p($ki_local_world), file('/export/starexec/sandbox/benchmark/theBenchmark.p', not_a_axiom_1)).
% 3.19/1.77 tff(f_40, axiom, (![W:$ki_world]: $ki_accessible('#idx(b)', W, W)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mrel_reflexive_#idx(b))).
% 3.19/1.77 tff(f_77, negated_conjecture, ~(![W:$ki_world]: ($ki_accessible('#idx(a)', $ki_local_world, W) => ~p(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', verify)).
% 3.19/1.77 tff(f_69, axiom, (~(![W:$ki_world]: ($ki_accessible('#idx(b)', $ki_local_world, W) => p(W))) => (![W:$ki_world]: ($ki_accessible('#idx(a)', $ki_local_world, W) => ~(![W0:$ki_world]: ($ki_accessible('#idx(b)', W, W0) => p(W0)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ab_axiom_2)).
% 3.19/1.77 tff(f_55, axiom, (![W:$ki_world]: ($ki_accessible('#idx(a)', $ki_local_world, W) => (p(W) => (![W0:$ki_world]: ($ki_accessible('#idx(b)', W, W0) => p(W0)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ab_axiom_1)).
% 3.19/1.77 tff(c_16, plain, (~p($ki_local_world)), inference(cnfTransformation, [status(thm)], [f_71])).
% 3.19/1.77 tff(c_6, plain, (![W_5:$ki_world]: ($ki_accessible('#idx(b)', W_5, W_5))), inference(cnfTransformation, [status(thm)], [f_40])).
% 3.19/1.77 tff(c_18, plain, (p('#skF_2')), inference(cnfTransformation, [status(thm)], [f_77])).
% 3.19/1.77 tff(c_20, plain, ($ki_accessible('#idx(a)', $ki_local_world, '#skF_2')), inference(cnfTransformation, [status(thm)], [f_77])).
% 3.19/1.77 tff(c_14, plain, (![W_13:$ki_world, W_12:$ki_world]: ($ki_accessible('#idx(b)', W_13, '#skF_1'(W_13)) | ~$ki_accessible('#idx(a)', $ki_local_world, W_13) | p(W_12) | ~$ki_accessible('#idx(b)', $ki_local_world, W_12))), inference(cnfTransformation, [status(thm)], [f_69])).
% 3.19/1.77 tff(c_49, plain, (![W_27:$ki_world]: (p(W_27) | ~$ki_accessible('#idx(b)', $ki_local_world, W_27))), inference(splitLeft, [status(thm)], [c_14])).
% 3.19/1.77 tff(c_53, plain, (p($ki_local_world)), inference(resolution, [status(thm)], [c_6, c_49])).
% 3.19/1.77 tff(c_57, plain, $false, inference(negUnitSimplification, [status(thm)], [c_16, c_53])).
% 3.19/1.77 tff(c_59, plain, (![W_28:$ki_world]: ($ki_accessible('#idx(b)', W_28, '#skF_1'(W_28)) | ~$ki_accessible('#idx(a)', $ki_local_world, W_28))), inference(splitRight, [status(thm)], [c_14])).
% 3.19/1.77 tff(c_10, plain, (![W0_11:$ki_world, W_9:$ki_world]: (p(W0_11) | ~$ki_accessible('#idx(b)', W_9, W0_11) | ~p(W_9) | ~$ki_accessible('#idx(a)', $ki_local_world, W_9))), inference(cnfTransformation, [status(thm)], [f_55])).
% 3.19/1.77 tff(c_67, plain, (![W_29:$ki_world]: (p('#skF_1'(W_29)) | ~p(W_29) | ~$ki_accessible('#idx(a)', $ki_local_world, W_29))), inference(resolution, [status(thm)], [c_59, c_10])).
% 3.19/1.77 tff(c_12, plain, (![W_13:$ki_world, W_12:$ki_world]: (~p('#skF_1'(W_13)) | ~$ki_accessible('#idx(a)', $ki_local_world, W_13) | p(W_12) | ~$ki_accessible('#idx(b)', $ki_local_world, W_12))), inference(cnfTransformation, [status(thm)], [f_69])).
% 3.19/1.77 tff(c_46, plain, (![W_13:$ki_world]: (~p('#skF_1'(W_13)) | ~$ki_accessible('#idx(a)', $ki_local_world, W_13))), inference(splitLeft, [status(thm)], [c_12])).
% 3.19/1.77 tff(c_80, plain, (![W_32:$ki_world]: (~p(W_32) | ~$ki_accessible('#idx(a)', $ki_local_world, W_32))), inference(resolution, [status(thm)], [c_67, c_46])).
% 3.19/1.77 tff(c_87, plain, (~p('#skF_2')), inference(resolution, [status(thm)], [c_20, c_80])).
% 3.19/1.77 tff(c_92, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_18, c_87])).
% 3.19/1.77 tff(c_94, plain, (![W_33:$ki_world]: (p(W_33) | ~$ki_accessible('#idx(b)', $ki_local_world, W_33))), inference(splitRight, [status(thm)], [c_12])).
% 3.19/1.77 tff(c_98, plain, (p($ki_local_world)), inference(resolution, [status(thm)], [c_6, c_94])).
% 3.19/1.77 tff(c_102, plain, $false, inference(negUnitSimplification, [status(thm)], [c_16, c_98])).
% 3.19/1.77 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.19/1.77
% 3.19/1.77 Inference rules
% 3.19/1.77 ----------------------
% 3.19/1.77 #Ref : 0
% 3.19/1.77 #Sup : 14
% 3.19/1.77 #Fact : 0
% 3.19/1.77 #Define : 0
% 3.19/1.77 #Split : 2
% 3.19/1.77 #Chain : 0
% 3.19/1.77 #Close : 0
% 3.19/1.77
% 3.19/1.77 Ordering : KBO
% 3.19/1.77
% 3.19/1.77 Simplification rules
% 3.19/1.77 ----------------------
% 3.19/1.77 #Subsume : 3
% 3.19/1.77 #Demod : 2
% 3.19/1.77 #Tautology : 4
% 3.19/1.77 #SimpNegUnit : 2
% 3.19/1.77 #BackRed : 0
% 3.19/1.77
% 3.19/1.77 #Partial instantiations: 0
% 3.19/1.77 #Strategies tried : 1
% 3.19/1.77
% 3.19/1.77 Timing (in seconds)
% 3.19/1.77 ----------------------
% 3.19/1.78 Preprocessing : 0.49
% 3.19/1.78 Parsing : 0.29
% 3.19/1.78 CNF conversion : 0.03
% 3.19/1.78 Main loop : 0.23
% 3.19/1.78 Inferencing : 0.09
% 3.19/1.78 Reduction : 0.05
% 3.19/1.78 Demodulation : 0.04
% 3.19/1.78 BG Simplification : 0.02
% 3.19/1.78 Subsumption : 0.07
% 3.19/1.78 Abstraction : 0.01
% 3.19/1.78 MUC search : 0.00
% 3.19/1.78 Cooper : 0.00
% 3.19/1.78 Total : 0.76
% 3.19/1.78 Index Insertion : 0.00
% 3.19/1.78 Index Deletion : 0.00
% 3.19/1.78 Index Matching : 0.00
% 3.19/1.78 BG Taut test : 0.00
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