TSTP Solution File: NLP266_4 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NLP266_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 : n028.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 10:50:48 EDT 2023
% Result : Theorem 11.29s 3.88s
% Output : CNFRefutation 11.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NLP266_4 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n028.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 13:22:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 11.29/3.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.29/3.89
% 11.29/3.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.29/3.91 %$ in > do > userid > number > string > entry_box > #nlpp > u > one > #skF_7 > #skF_5 > #skF_1 > #skF_4 > #skF_8 > #skF_6 > #skF_2 > #skF_3
% 11.29/3.91
% 11.29/3.91 %Foreground sorts:
% 11.29/3.91 tff($ki_world, type, $ki_world: $tType ).
% 11.29/3.91
% 11.29/3.91 %Background operators:
% 11.29/3.91
% 11.29/3.91
% 11.29/3.91 %Foreground operators:
% 11.29/3.91 tff('#skF_7', type, '#skF_7': ($i * $i * $i * $i) > $ki_world).
% 11.29/3.91 tff(entry_box, type, entry_box: ($ki_world * $i) > $o).
% 11.29/3.91 tff('#skF_5', type, '#skF_5': $ki_world).
% 11.29/3.91 tff('#skF_1', type, '#skF_1': $ki_world > $i).
% 11.29/3.91 tff(string, type, string: ($ki_world * $i) > $o).
% 11.29/3.91 tff('#skF_4', type, '#skF_4': ($ki_world * $i * $i * $i) > $i).
% 11.29/3.91 tff(u, type, u: $i).
% 11.29/3.91 tff(in, type, in: ($ki_world * $i * $i * $i) > $o).
% 11.29/3.91 tff('#skF_8', type, '#skF_8': ($i * $i * $i * $i) > $i).
% 11.29/3.91 tff('#skF_6', type, '#skF_6': ($i * $i * $i * $i) > $ki_world).
% 11.29/3.91 tff('#skF_2', type, '#skF_2': $ki_world > $i).
% 11.29/3.91 tff('#skF_3', type, '#skF_3': $i).
% 11.29/3.91 tff(number, type, number: ($ki_world * $i * $i) > $o).
% 11.29/3.91 tff(one, type, one: $i).
% 11.29/3.91 tff(do, type, do: ($ki_world * $i * $i * $i) > $o).
% 11.29/3.91 tff(userid, type, userid: ($ki_world * $i * $i) > $o).
% 11.29/3.91
% 11.61/3.94 tff(f_30, axiom, (![W:$ki_world]: $ki_accessible(W, W)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mrel_reflexive)).
% 11.61/3.94 tff(f_124, negated_conjecture, ~(![W:$ki_world]: ($ki_accessible($ki_local_world, W) => (?[I]: ($ki_exists_in_world_$i(W, I) & (?[B]: ($ki_exists_in_world_$i(W, B) & (?[A]: ($ki_exists_in_world_$i(W, A) & (?[S]: (($ki_exists_in_world_$i(W, S) & (![W0:$ki_world]: ($ki_accessible(W, W0) => ((userid(W0, u, I) & entry_box(W0, B)) & number(W0, B, one))))) & (![W0:$ki_world]: ($ki_accessible(W, W0) => (![S2]: ($ki_exists_in_world_$i(W0, S2) => (do(W0, S, A, S2) => in(W0, I, B, S2)))))))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', verify)).
% 11.61/3.94 tff(f_53, axiom, (![W:$ki_world]: ($ki_accessible($ki_local_world, W) => (?[I]: ($ki_exists_in_world_$i(W, I) & (![W0:$ki_world]: ($ki_accessible(W, W0) => (userid(W0, u, I) & string(W0, I)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax1)).
% 11.61/3.94 tff(f_38, axiom, (![W:$ki_world, X]: $ki_exists_in_world_$i(W, X)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', $ki_exists_in_world_$i_const)).
% 11.61/3.94 tff(f_36, axiom, (![W:$ki_world, V:$ki_world, U:$ki_world]: (($ki_accessible(W, V) & $ki_accessible(V, U)) => $ki_accessible(W, U))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mrel_transitive)).
% 11.61/3.94 tff(f_62, axiom, (?[B]: ($ki_exists_in_world_$i($ki_local_world, B) & (![W:$ki_world]: ($ki_accessible($ki_local_world, W) => (entry_box(W, B) & number(W, B, one)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax2)).
% 11.61/3.94 tff(f_90, axiom, (![W:$ki_world]: ($ki_accessible($ki_local_world, W) => (![S]: ($ki_exists_in_world_$i(W, S) => (![I]: ($ki_exists_in_world_$i(W, I) => (![B]: ($ki_exists_in_world_$i(W, B) => ((string(W, I) & entry_box(W, B)) => (?[A]: ($ki_exists_in_world_$i(W, A) & (![W0:$ki_world]: ($ki_accessible(W, W0) => (![S2]: ($ki_exists_in_world_$i(W0, S2) => (do(W0, S, A, S2) => in(W0, I, B, S2))))))))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax3)).
% 11.61/3.94 tff(c_2, plain, (![W_1:$ki_world]: ($ki_accessible(W_1, W_1))), inference(cnfTransformation, [status(thm)], [f_30])).
% 11.61/3.94 tff(c_26, plain, ($ki_accessible($ki_local_world, '#skF_5')), inference(cnfTransformation, [status(thm)], [f_124])).
% 11.61/3.94 tff(c_12, plain, (![W0_14:$ki_world, W_9:$ki_world]: (string(W0_14, '#skF_2'(W_9)) | ~$ki_accessible(W_9, W0_14) | ~$ki_accessible($ki_local_world, W_9))), inference(cnfTransformation, [status(thm)], [f_53])).
% 11.61/3.94 tff(c_6, plain, (![W_5:$ki_world, X_6]: ($ki_exists_in_world_$i(W_5, X_6))), inference(cnfTransformation, [status(thm)], [f_38])).
% 11.61/3.94 tff(c_42, plain, (![I_222, B_262, A_282, S_292]: ($ki_accessible('#skF_5', '#skF_6'(I_222, B_262, A_282, S_292)) | $ki_accessible('#skF_5', '#skF_7'(I_222, B_262, A_282, S_292)) | ~$ki_exists_in_world_$i('#skF_5', S_292) | ~$ki_exists_in_world_$i('#skF_5', A_282) | ~$ki_exists_in_world_$i('#skF_5', B_262) | ~$ki_exists_in_world_$i('#skF_5', I_222))), inference(cnfTransformation, [status(thm)], [f_124])).
% 11.61/3.94 tff(c_86, plain, (![I_311, B_312, A_313, S_314]: ($ki_accessible('#skF_5', '#skF_6'(I_311, B_312, A_313, S_314)) | $ki_accessible('#skF_5', '#skF_7'(I_311, B_312, A_313, S_314)))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_6, c_6, c_6, c_42])).
% 11.61/3.94 tff(c_4, plain, (![W_2:$ki_world, U_4:$ki_world, V_3:$ki_world]: ($ki_accessible(W_2, U_4) | ~$ki_accessible(V_3, U_4) | ~$ki_accessible(W_2, V_3))), inference(cnfTransformation, [status(thm)], [f_36])).
% 11.61/3.94 tff(c_90, plain, (![W_315:$ki_world, A_319, I_316, B_318, S_317]: ($ki_accessible(W_315, '#skF_7'(I_316, B_318, A_319, S_317)) | ~$ki_accessible(W_315, '#skF_5') | $ki_accessible('#skF_5', '#skF_6'(I_316, B_318, A_319, S_317)))), inference(resolution, [status(thm)], [c_86, c_4])).
% 11.61/3.94 tff(c_96, plain, (![W_2:$ki_world, W_315:$ki_world, A_319, I_316, B_318, S_317]: ($ki_accessible(W_2, '#skF_6'(I_316, B_318, A_319, S_317)) | ~$ki_accessible(W_2, '#skF_5') | $ki_accessible(W_315, '#skF_7'(I_316, B_318, A_319, S_317)) | ~$ki_accessible(W_315, '#skF_5'))), inference(resolution, [status(thm)], [c_90, c_4])).
% 11.61/3.94 tff(c_89, plain, (![I_311, W_2:$ki_world, B_312, S_314, A_313]: ($ki_accessible(W_2, '#skF_7'(I_311, B_312, A_313, S_314)) | ~$ki_accessible(W_2, '#skF_5') | $ki_accessible('#skF_5', '#skF_6'(I_311, B_312, A_313, S_314)))), inference(resolution, [status(thm)], [c_86, c_4])).
% 11.61/3.94 tff(c_20, plain, (![W_16:$ki_world]: (entry_box(W_16, '#skF_3') | ~$ki_accessible($ki_local_world, W_16))), inference(cnfTransformation, [status(thm)], [f_62])).
% 11.61/3.94 tff(c_14, plain, (![W0_14:$ki_world, W_9:$ki_world]: (userid(W0_14, u, '#skF_2'(W_9)) | ~$ki_accessible(W_9, W0_14) | ~$ki_accessible($ki_local_world, W_9))), inference(cnfTransformation, [status(thm)], [f_53])).
% 11.61/3.94 tff(c_18, plain, (![W_16:$ki_world]: (number(W_16, '#skF_3', one) | ~$ki_accessible($ki_local_world, W_16))), inference(cnfTransformation, [status(thm)], [f_62])).
% 11.61/3.94 tff(c_40, plain, (![I_222, B_262, A_282, S_292]: (~number('#skF_6'(I_222, B_262, A_282, S_292), B_262, one) | ~entry_box('#skF_6'(I_222, B_262, A_282, S_292), B_262) | ~userid('#skF_6'(I_222, B_262, A_282, S_292), u, I_222) | $ki_accessible('#skF_5', '#skF_7'(I_222, B_262, A_282, S_292)) | ~$ki_exists_in_world_$i('#skF_5', S_292) | ~$ki_exists_in_world_$i('#skF_5', A_282) | ~$ki_exists_in_world_$i('#skF_5', B_262) | ~$ki_exists_in_world_$i('#skF_5', I_222))), inference(cnfTransformation, [status(thm)], [f_124])).
% 11.61/3.94 tff(c_187, plain, (![I_361, B_362, A_363, S_364]: (~number('#skF_6'(I_361, B_362, A_363, S_364), B_362, one) | ~entry_box('#skF_6'(I_361, B_362, A_363, S_364), B_362) | ~userid('#skF_6'(I_361, B_362, A_363, S_364), u, I_361) | $ki_accessible('#skF_5', '#skF_7'(I_361, B_362, A_363, S_364)))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_6, c_6, c_6, c_40])).
% 11.61/3.94 tff(c_753, plain, (![I_449, A_450, S_451]: (~entry_box('#skF_6'(I_449, '#skF_3', A_450, S_451), '#skF_3') | ~userid('#skF_6'(I_449, '#skF_3', A_450, S_451), u, I_449) | $ki_accessible('#skF_5', '#skF_7'(I_449, '#skF_3', A_450, S_451)) | ~$ki_accessible($ki_local_world, '#skF_6'(I_449, '#skF_3', A_450, S_451)))), inference(resolution, [status(thm)], [c_18, c_187])).
% 11.61/3.94 tff(c_2143, plain, (![W_573:$ki_world, A_574, S_575]: (~entry_box('#skF_6'('#skF_2'(W_573), '#skF_3', A_574, S_575), '#skF_3') | $ki_accessible('#skF_5', '#skF_7'('#skF_2'(W_573), '#skF_3', A_574, S_575)) | ~$ki_accessible($ki_local_world, '#skF_6'('#skF_2'(W_573), '#skF_3', A_574, S_575)) | ~$ki_accessible(W_573, '#skF_6'('#skF_2'(W_573), '#skF_3', A_574, S_575)) | ~$ki_accessible($ki_local_world, W_573))), inference(resolution, [status(thm)], [c_14, c_753])).
% 11.61/3.94 tff(c_2370, plain, (![W_591:$ki_world, A_592, S_593]: ($ki_accessible('#skF_5', '#skF_7'('#skF_2'(W_591), '#skF_3', A_592, S_593)) | ~$ki_accessible(W_591, '#skF_6'('#skF_2'(W_591), '#skF_3', A_592, S_593)) | ~$ki_accessible($ki_local_world, W_591) | ~$ki_accessible($ki_local_world, '#skF_6'('#skF_2'(W_591), '#skF_3', A_592, S_593)))), inference(resolution, [status(thm)], [c_20, c_2143])).
% 11.61/3.94 tff(c_2436, plain, (![A_313, S_314, W_2:$ki_world]: ($ki_accessible('#skF_5', '#skF_7'('#skF_2'('#skF_5'), '#skF_3', A_313, S_314)) | ~$ki_accessible($ki_local_world, '#skF_5') | ~$ki_accessible($ki_local_world, '#skF_6'('#skF_2'('#skF_5'), '#skF_3', A_313, S_314)) | $ki_accessible(W_2, '#skF_7'('#skF_2'('#skF_5'), '#skF_3', A_313, S_314)) | ~$ki_accessible(W_2, '#skF_5'))), inference(resolution, [status(thm)], [c_89, c_2370])).
% 11.61/3.94 tff(c_2479, plain, (![A_594, S_595, W_596:$ki_world]: ($ki_accessible('#skF_5', '#skF_7'('#skF_2'('#skF_5'), '#skF_3', A_594, S_595)) | ~$ki_accessible($ki_local_world, '#skF_6'('#skF_2'('#skF_5'), '#skF_3', A_594, S_595)) | $ki_accessible(W_596, '#skF_7'('#skF_2'('#skF_5'), '#skF_3', A_594, S_595)) | ~$ki_accessible(W_596, '#skF_5'))), inference(demodulation, [status(thm), theory('equality')], [c_26, c_2436])).
% 11.61/3.94 tff(c_2523, plain, (![A_319, S_317, W_596:$ki_world, W_315:$ki_world]: ($ki_accessible('#skF_5', '#skF_7'('#skF_2'('#skF_5'), '#skF_3', A_319, S_317)) | $ki_accessible(W_596, '#skF_7'('#skF_2'('#skF_5'), '#skF_3', A_319, S_317)) | ~$ki_accessible(W_596, '#skF_5') | ~$ki_accessible($ki_local_world, '#skF_5') | $ki_accessible(W_315, '#skF_7'('#skF_2'('#skF_5'), '#skF_3', A_319, S_317)) | ~$ki_accessible(W_315, '#skF_5'))), inference(resolution, [status(thm)], [c_96, c_2479])).
% 11.61/3.94 tff(c_2557, plain, (![A_319, S_317, W_596:$ki_world, W_315:$ki_world]: ($ki_accessible('#skF_5', '#skF_7'('#skF_2'('#skF_5'), '#skF_3', A_319, S_317)) | $ki_accessible(W_596, '#skF_7'('#skF_2'('#skF_5'), '#skF_3', A_319, S_317)) | ~$ki_accessible(W_596, '#skF_5') | $ki_accessible(W_315, '#skF_7'('#skF_2'('#skF_5'), '#skF_3', A_319, S_317)) | ~$ki_accessible(W_315, '#skF_5'))), inference(demodulation, [status(thm), theory('equality')], [c_26, c_2523])).
% 11.61/3.94 tff(c_3726, plain, (![A_319, S_317, W_596:$ki_world]: ($ki_accessible('#skF_5', '#skF_7'('#skF_2'('#skF_5'), '#skF_3', A_319, S_317)) | ~$ki_accessible(W_596, '#skF_5') | $ki_accessible(W_596, '#skF_7'('#skF_2'('#skF_5'), '#skF_3', A_319, S_317)))), inference(factorization, [status(thm), theory('equality')], [c_2557])).
% 11.61/3.94 tff(c_3987, plain, (![A_319, S_317]: (~$ki_accessible('#skF_5', '#skF_5') | $ki_accessible('#skF_5', '#skF_7'('#skF_2'('#skF_5'), '#skF_3', A_319, S_317)))), inference(factorization, [status(thm), theory('equality')], [c_3726])).
% 11.61/3.94 tff(c_4155, plain, (![A_659, S_660]: ($ki_accessible('#skF_5', '#skF_7'('#skF_2'('#skF_5'), '#skF_3', A_659, S_660)))), inference(demodulation, [status(thm), theory('equality')], [c_2, c_3987])).
% 11.61/3.94 tff(c_32, plain, (![I_222, B_262, A_282, S_292]: (~number('#skF_6'(I_222, B_262, A_282, S_292), B_262, one) | ~entry_box('#skF_6'(I_222, B_262, A_282, S_292), B_262) | ~userid('#skF_6'(I_222, B_262, A_282, S_292), u, I_222) | do('#skF_7'(I_222, B_262, A_282, S_292), S_292, A_282, '#skF_8'(I_222, B_262, A_282, S_292)) | ~$ki_exists_in_world_$i('#skF_5', S_292) | ~$ki_exists_in_world_$i('#skF_5', A_282) | ~$ki_exists_in_world_$i('#skF_5', B_262) | ~$ki_exists_in_world_$i('#skF_5', I_222))), inference(cnfTransformation, [status(thm)], [f_124])).
% 11.61/3.94 tff(c_457, plain, (![I_414, B_415, A_416, S_417]: (~number('#skF_6'(I_414, B_415, A_416, S_417), B_415, one) | ~entry_box('#skF_6'(I_414, B_415, A_416, S_417), B_415) | ~userid('#skF_6'(I_414, B_415, A_416, S_417), u, I_414) | do('#skF_7'(I_414, B_415, A_416, S_417), S_417, A_416, '#skF_8'(I_414, B_415, A_416, S_417)))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_6, c_6, c_6, c_32])).
% 11.61/3.94 tff(c_22, plain, (![B_129, W_17:$ki_world, W0_140:$ki_world, S2_142, S_81, I_113]: (in(W0_140, I_113, B_129, S2_142) | ~do(W0_140, S_81, '#skF_4'(W_17, S_81, I_113, B_129), S2_142) | ~$ki_exists_in_world_$i(W0_140, S2_142) | ~$ki_accessible(W_17, W0_140) | ~entry_box(W_17, B_129) | ~string(W_17, I_113) | ~$ki_exists_in_world_$i(W_17, B_129) | ~$ki_exists_in_world_$i(W_17, I_113) | ~$ki_exists_in_world_$i(W_17, S_81) | ~$ki_accessible($ki_local_world, W_17))), inference(cnfTransformation, [status(thm)], [f_90])).
% 11.61/3.94 tff(c_53, plain, (![B_129, W_17:$ki_world, W0_140:$ki_world, S2_142, S_81, I_113]: (in(W0_140, I_113, B_129, S2_142) | ~do(W0_140, S_81, '#skF_4'(W_17, S_81, I_113, B_129), S2_142) | ~$ki_accessible(W_17, W0_140) | ~entry_box(W_17, B_129) | ~string(W_17, I_113) | ~$ki_accessible($ki_local_world, W_17))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_6, c_6, c_6, c_22])).
% 11.61/3.94 tff(c_1580, plain, (![I_535, B_537, S_534, B_536, W_538:$ki_world, I_539]: (in('#skF_7'(I_539, B_537, '#skF_4'(W_538, S_534, I_535, B_536), S_534), I_535, B_536, '#skF_8'(I_539, B_537, '#skF_4'(W_538, S_534, I_535, B_536), S_534)) | ~$ki_accessible(W_538, '#skF_7'(I_539, B_537, '#skF_4'(W_538, S_534, I_535, B_536), S_534)) | ~entry_box(W_538, B_536) | ~string(W_538, I_535) | ~$ki_accessible($ki_local_world, W_538) | ~number('#skF_6'(I_539, B_537, '#skF_4'(W_538, S_534, I_535, B_536), S_534), B_537, one) | ~entry_box('#skF_6'(I_539, B_537, '#skF_4'(W_538, S_534, I_535, B_536), S_534), B_537) | ~userid('#skF_6'(I_539, B_537, '#skF_4'(W_538, S_534, I_535, B_536), S_534), u, I_539))), inference(resolution, [status(thm)], [c_457, c_53])).
% 11.61/3.94 tff(c_28, plain, (![I_222, B_262, A_282, S_292]: (~number('#skF_6'(I_222, B_262, A_282, S_292), B_262, one) | ~entry_box('#skF_6'(I_222, B_262, A_282, S_292), B_262) | ~userid('#skF_6'(I_222, B_262, A_282, S_292), u, I_222) | ~in('#skF_7'(I_222, B_262, A_282, S_292), I_222, B_262, '#skF_8'(I_222, B_262, A_282, S_292)) | ~$ki_exists_in_world_$i('#skF_5', S_292) | ~$ki_exists_in_world_$i('#skF_5', A_282) | ~$ki_exists_in_world_$i('#skF_5', B_262) | ~$ki_exists_in_world_$i('#skF_5', I_222))), inference(cnfTransformation, [status(thm)], [f_124])).
% 11.61/3.94 tff(c_61, plain, (![I_222, B_262, A_282, S_292]: (~number('#skF_6'(I_222, B_262, A_282, S_292), B_262, one) | ~entry_box('#skF_6'(I_222, B_262, A_282, S_292), B_262) | ~userid('#skF_6'(I_222, B_262, A_282, S_292), u, I_222) | ~in('#skF_7'(I_222, B_262, A_282, S_292), I_222, B_262, '#skF_8'(I_222, B_262, A_282, S_292)))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_6, c_6, c_6, c_28])).
% 11.61/3.94 tff(c_1589, plain, (![W_538:$ki_world, I_535, B_536, S_534]: (~$ki_accessible(W_538, '#skF_7'(I_535, B_536, '#skF_4'(W_538, S_534, I_535, B_536), S_534)) | ~entry_box(W_538, B_536) | ~string(W_538, I_535) | ~$ki_accessible($ki_local_world, W_538) | ~number('#skF_6'(I_535, B_536, '#skF_4'(W_538, S_534, I_535, B_536), S_534), B_536, one) | ~entry_box('#skF_6'(I_535, B_536, '#skF_4'(W_538, S_534, I_535, B_536), S_534), B_536) | ~userid('#skF_6'(I_535, B_536, '#skF_4'(W_538, S_534, I_535, B_536), S_534), u, I_535))), inference(resolution, [status(thm)], [c_1580, c_61])).
% 11.61/3.94 tff(c_4166, plain, (![S_660]: (~entry_box('#skF_5', '#skF_3') | ~string('#skF_5', '#skF_2'('#skF_5')) | ~$ki_accessible($ki_local_world, '#skF_5') | ~number('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_660, '#skF_2'('#skF_5'), '#skF_3'), S_660), '#skF_3', one) | ~entry_box('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_660, '#skF_2'('#skF_5'), '#skF_3'), S_660), '#skF_3') | ~userid('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_660, '#skF_2'('#skF_5'), '#skF_3'), S_660), u, '#skF_2'('#skF_5')))), inference(resolution, [status(thm)], [c_4155, c_1589])).
% 11.61/3.94 tff(c_4214, plain, (![S_660]: (~entry_box('#skF_5', '#skF_3') | ~string('#skF_5', '#skF_2'('#skF_5')) | ~number('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_660, '#skF_2'('#skF_5'), '#skF_3'), S_660), '#skF_3', one) | ~entry_box('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_660, '#skF_2'('#skF_5'), '#skF_3'), S_660), '#skF_3') | ~userid('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_660, '#skF_2'('#skF_5'), '#skF_3'), S_660), u, '#skF_2'('#skF_5')))), inference(demodulation, [status(thm), theory('equality')], [c_26, c_4166])).
% 11.61/3.94 tff(c_9445, plain, (~string('#skF_5', '#skF_2'('#skF_5'))), inference(splitLeft, [status(thm)], [c_4214])).
% 11.61/3.94 tff(c_9448, plain, (~$ki_accessible('#skF_5', '#skF_5') | ~$ki_accessible($ki_local_world, '#skF_5')), inference(resolution, [status(thm)], [c_12, c_9445])).
% 11.61/3.94 tff(c_9452, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_26, c_2, c_9448])).
% 11.61/3.94 tff(c_9454, plain, (string('#skF_5', '#skF_2'('#skF_5'))), inference(splitRight, [status(thm)], [c_4214])).
% 11.61/3.94 tff(c_9453, plain, (![S_660]: (~entry_box('#skF_5', '#skF_3') | ~number('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_660, '#skF_2'('#skF_5'), '#skF_3'), S_660), '#skF_3', one) | ~entry_box('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_660, '#skF_2'('#skF_5'), '#skF_3'), S_660), '#skF_3') | ~userid('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_660, '#skF_2'('#skF_5'), '#skF_3'), S_660), u, '#skF_2'('#skF_5')))), inference(splitRight, [status(thm)], [c_4214])).
% 11.61/3.94 tff(c_9455, plain, (~entry_box('#skF_5', '#skF_3')), inference(splitLeft, [status(thm)], [c_9453])).
% 11.61/3.94 tff(c_9458, plain, (~$ki_accessible($ki_local_world, '#skF_5')), inference(resolution, [status(thm)], [c_20, c_9455])).
% 11.61/3.94 tff(c_9462, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_26, c_9458])).
% 11.61/3.94 tff(c_9464, plain, (entry_box('#skF_5', '#skF_3')), inference(splitRight, [status(thm)], [c_9453])).
% 11.61/3.94 tff(c_34, plain, (![I_222, B_262, A_282, S_292]: ($ki_accessible('#skF_5', '#skF_6'(I_222, B_262, A_282, S_292)) | do('#skF_7'(I_222, B_262, A_282, S_292), S_292, A_282, '#skF_8'(I_222, B_262, A_282, S_292)) | ~$ki_exists_in_world_$i('#skF_5', S_292) | ~$ki_exists_in_world_$i('#skF_5', A_282) | ~$ki_exists_in_world_$i('#skF_5', B_262) | ~$ki_exists_in_world_$i('#skF_5', I_222))), inference(cnfTransformation, [status(thm)], [f_124])).
% 11.61/3.94 tff(c_63, plain, (![I_222, B_262, A_282, S_292]: ($ki_accessible('#skF_5', '#skF_6'(I_222, B_262, A_282, S_292)) | do('#skF_7'(I_222, B_262, A_282, S_292), S_292, A_282, '#skF_8'(I_222, B_262, A_282, S_292)))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_6, c_6, c_6, c_34])).
% 11.61/3.94 tff(c_130, plain, (![W0_343:$ki_world, S2_344, W_345:$ki_world, B_342, I_341, S_340]: (in(W0_343, I_341, B_342, S2_344) | ~do(W0_343, S_340, '#skF_4'(W_345, S_340, I_341, B_342), S2_344) | ~$ki_accessible(W_345, W0_343) | ~entry_box(W_345, B_342) | ~string(W_345, I_341) | ~$ki_accessible($ki_local_world, W_345))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_6, c_6, c_6, c_22])).
% 11.61/3.94 tff(c_1274, plain, (![S_506, B_505, W_503:$ki_world, I_504, B_502, I_507]: (in('#skF_7'(I_507, B_505, '#skF_4'(W_503, S_506, I_504, B_502), S_506), I_504, B_502, '#skF_8'(I_507, B_505, '#skF_4'(W_503, S_506, I_504, B_502), S_506)) | ~$ki_accessible(W_503, '#skF_7'(I_507, B_505, '#skF_4'(W_503, S_506, I_504, B_502), S_506)) | ~entry_box(W_503, B_502) | ~string(W_503, I_504) | ~$ki_accessible($ki_local_world, W_503) | $ki_accessible('#skF_5', '#skF_6'(I_507, B_505, '#skF_4'(W_503, S_506, I_504, B_502), S_506)))), inference(resolution, [status(thm)], [c_63, c_130])).
% 11.61/3.94 tff(c_30, plain, (![I_222, B_262, A_282, S_292]: ($ki_accessible('#skF_5', '#skF_6'(I_222, B_262, A_282, S_292)) | ~in('#skF_7'(I_222, B_262, A_282, S_292), I_222, B_262, '#skF_8'(I_222, B_262, A_282, S_292)) | ~$ki_exists_in_world_$i('#skF_5', S_292) | ~$ki_exists_in_world_$i('#skF_5', A_282) | ~$ki_exists_in_world_$i('#skF_5', B_262) | ~$ki_exists_in_world_$i('#skF_5', I_222))), inference(cnfTransformation, [status(thm)], [f_124])).
% 11.61/3.94 tff(c_59, plain, (![I_222, B_262, A_282, S_292]: ($ki_accessible('#skF_5', '#skF_6'(I_222, B_262, A_282, S_292)) | ~in('#skF_7'(I_222, B_262, A_282, S_292), I_222, B_262, '#skF_8'(I_222, B_262, A_282, S_292)))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_6, c_6, c_6, c_30])).
% 11.61/3.94 tff(c_1287, plain, (![W_512:$ki_world, I_513, B_514, S_515]: (~$ki_accessible(W_512, '#skF_7'(I_513, B_514, '#skF_4'(W_512, S_515, I_513, B_514), S_515)) | ~entry_box(W_512, B_514) | ~string(W_512, I_513) | ~$ki_accessible($ki_local_world, W_512) | $ki_accessible('#skF_5', '#skF_6'(I_513, B_514, '#skF_4'(W_512, S_515, I_513, B_514), S_515)))), inference(resolution, [status(thm)], [c_1274, c_59])).
% 11.61/3.94 tff(c_1534, plain, (![W_530:$ki_world, B_531, I_532, S_533]: (~entry_box(W_530, B_531) | ~string(W_530, I_532) | ~$ki_accessible($ki_local_world, W_530) | ~$ki_accessible(W_530, '#skF_5') | $ki_accessible('#skF_5', '#skF_6'(I_532, B_531, '#skF_4'(W_530, S_533, I_532, B_531), S_533)))), inference(resolution, [status(thm)], [c_89, c_1287])).
% 11.61/3.94 tff(c_1579, plain, (![W_2:$ki_world, W_530:$ki_world, B_531, S_533, I_532]: ($ki_accessible(W_2, '#skF_6'(I_532, B_531, '#skF_4'(W_530, S_533, I_532, B_531), S_533)) | ~$ki_accessible(W_2, '#skF_5') | ~entry_box(W_530, B_531) | ~string(W_530, I_532) | ~$ki_accessible($ki_local_world, W_530) | ~$ki_accessible(W_530, '#skF_5'))), inference(resolution, [status(thm)], [c_1534, c_4])).
% 11.61/3.94 tff(c_2254, plain, (![W_581:$ki_world, I_585, S_584, W_582:$ki_world, B_583]: ($ki_accessible(W_582, '#skF_6'(I_585, B_583, '#skF_4'(W_581, S_584, I_585, B_583), S_584)) | ~$ki_accessible(W_582, '#skF_5') | ~entry_box(W_581, B_583) | ~string(W_581, I_585) | ~$ki_accessible($ki_local_world, W_581) | ~$ki_accessible(W_581, '#skF_5'))), inference(resolution, [status(thm)], [c_1534, c_4])).
% 11.61/3.94 tff(c_2858, plain, (![I_614, W_611:$ki_world, S_613, W_610:$ki_world, B_615, W_612:$ki_world]: ($ki_accessible(W_610, '#skF_6'(I_614, B_615, '#skF_4'(W_611, S_613, I_614, B_615), S_613)) | ~$ki_accessible(W_610, W_612) | ~$ki_accessible(W_612, '#skF_5') | ~entry_box(W_611, B_615) | ~string(W_611, I_614) | ~$ki_accessible($ki_local_world, W_611) | ~$ki_accessible(W_611, '#skF_5'))), inference(resolution, [status(thm)], [c_2254, c_4])).
% 11.61/3.94 tff(c_2932, plain, (![I_614, B_615, W_611:$ki_world, S_613]: ($ki_accessible($ki_local_world, '#skF_6'(I_614, B_615, '#skF_4'(W_611, S_613, I_614, B_615), S_613)) | ~$ki_accessible('#skF_5', '#skF_5') | ~entry_box(W_611, B_615) | ~string(W_611, I_614) | ~$ki_accessible($ki_local_world, W_611) | ~$ki_accessible(W_611, '#skF_5'))), inference(resolution, [status(thm)], [c_26, c_2858])).
% 11.61/3.94 tff(c_2972, plain, (![I_616, B_617, W_618:$ki_world, S_619]: ($ki_accessible($ki_local_world, '#skF_6'(I_616, B_617, '#skF_4'(W_618, S_619, I_616, B_617), S_619)) | ~entry_box(W_618, B_617) | ~string(W_618, I_616) | ~$ki_accessible($ki_local_world, W_618) | ~$ki_accessible(W_618, '#skF_5'))), inference(demodulation, [status(thm), theory('equality')], [c_2, c_2932])).
% 11.61/3.94 tff(c_3054, plain, (![B_617, W_2:$ki_world, W_618:$ki_world, I_616, S_619]: ($ki_accessible(W_2, '#skF_6'(I_616, B_617, '#skF_4'(W_618, S_619, I_616, B_617), S_619)) | ~$ki_accessible(W_2, $ki_local_world) | ~entry_box(W_618, B_617) | ~string(W_618, I_616) | ~$ki_accessible($ki_local_world, W_618) | ~$ki_accessible(W_618, '#skF_5'))), inference(resolution, [status(thm)], [c_2972, c_4])).
% 11.61/3.94 tff(c_9465, plain, (![S_868]: (~number('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_868, '#skF_2'('#skF_5'), '#skF_3'), S_868), '#skF_3', one) | ~entry_box('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_868, '#skF_2'('#skF_5'), '#skF_3'), S_868), '#skF_3') | ~userid('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_868, '#skF_2'('#skF_5'), '#skF_3'), S_868), u, '#skF_2'('#skF_5')))), inference(splitRight, [status(thm)], [c_9453])).
% 11.61/3.94 tff(c_9468, plain, (![S_868]: (~number('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_868, '#skF_2'('#skF_5'), '#skF_3'), S_868), '#skF_3', one) | ~entry_box('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_868, '#skF_2'('#skF_5'), '#skF_3'), S_868), '#skF_3') | ~$ki_accessible('#skF_5', '#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_868, '#skF_2'('#skF_5'), '#skF_3'), S_868)) | ~$ki_accessible($ki_local_world, '#skF_5'))), inference(resolution, [status(thm)], [c_14, c_9465])).
% 11.61/3.94 tff(c_9479, plain, (![S_871]: (~number('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_871, '#skF_2'('#skF_5'), '#skF_3'), S_871), '#skF_3', one) | ~entry_box('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_871, '#skF_2'('#skF_5'), '#skF_3'), S_871), '#skF_3') | ~$ki_accessible('#skF_5', '#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_871, '#skF_2'('#skF_5'), '#skF_3'), S_871)))), inference(demodulation, [status(thm), theory('equality')], [c_26, c_9468])).
% 11.61/3.94 tff(c_9484, plain, (![S_872]: (~entry_box('#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_872, '#skF_2'('#skF_5'), '#skF_3'), S_872), '#skF_3') | ~$ki_accessible('#skF_5', '#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_872, '#skF_2'('#skF_5'), '#skF_3'), S_872)) | ~$ki_accessible($ki_local_world, '#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_872, '#skF_2'('#skF_5'), '#skF_3'), S_872)))), inference(resolution, [status(thm)], [c_18, c_9479])).
% 11.61/3.94 tff(c_9489, plain, (![S_873]: (~$ki_accessible('#skF_5', '#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_873, '#skF_2'('#skF_5'), '#skF_3'), S_873)) | ~$ki_accessible($ki_local_world, '#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_873, '#skF_2'('#skF_5'), '#skF_3'), S_873)))), inference(resolution, [status(thm)], [c_20, c_9484])).
% 11.61/3.94 tff(c_9501, plain, (![S_619]: (~$ki_accessible('#skF_5', '#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_619, '#skF_2'('#skF_5'), '#skF_3'), S_619)) | ~$ki_accessible($ki_local_world, $ki_local_world) | ~entry_box('#skF_5', '#skF_3') | ~string('#skF_5', '#skF_2'('#skF_5')) | ~$ki_accessible($ki_local_world, '#skF_5') | ~$ki_accessible('#skF_5', '#skF_5'))), inference(resolution, [status(thm)], [c_3054, c_9489])).
% 11.61/3.94 tff(c_9595, plain, (![S_874]: (~$ki_accessible('#skF_5', '#skF_6'('#skF_2'('#skF_5'), '#skF_3', '#skF_4'('#skF_5', S_874, '#skF_2'('#skF_5'), '#skF_3'), S_874)))), inference(demodulation, [status(thm), theory('equality')], [c_2, c_26, c_9454, c_9464, c_2, c_9501])).
% 11.61/3.94 tff(c_9611, plain, (~entry_box('#skF_5', '#skF_3') | ~string('#skF_5', '#skF_2'('#skF_5')) | ~$ki_accessible($ki_local_world, '#skF_5') | ~$ki_accessible('#skF_5', '#skF_5')), inference(resolution, [status(thm)], [c_1579, c_9595])).
% 11.61/3.94 tff(c_9672, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_2, c_26, c_9454, c_9464, c_9611])).
% 11.61/3.94 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.61/3.94
% 11.61/3.94 Inference rules
% 11.61/3.94 ----------------------
% 11.61/3.94 #Ref : 0
% 11.61/3.94 #Sup : 2698
% 11.61/3.94 #Fact : 32
% 11.61/3.94 #Define : 0
% 11.61/3.94 #Split : 24
% 11.61/3.94 #Chain : 0
% 11.61/3.94 #Close : 0
% 11.61/3.94
% 11.61/3.94 Ordering : KBO
% 11.61/3.94
% 11.61/3.94 Simplification rules
% 11.61/3.94 ----------------------
% 11.61/3.94 #Subsume : 2440
% 11.61/3.94 #Demod : 543
% 11.61/3.94 #Tautology : 134
% 11.61/3.94 #SimpNegUnit : 0
% 11.61/3.94 #BackRed : 0
% 11.61/3.94
% 11.61/3.94 #Partial instantiations: 0
% 11.61/3.94 #Strategies tried : 1
% 11.61/3.94
% 11.61/3.94 Timing (in seconds)
% 11.61/3.94 ----------------------
% 11.61/3.94 Preprocessing : 0.56
% 11.61/3.94 Parsing : 0.31
% 11.61/3.94 CNF conversion : 0.06
% 11.61/3.94 Main loop : 2.31
% 11.61/3.94 Inferencing : 0.61
% 11.61/3.94 Reduction : 0.51
% 11.61/3.94 Demodulation : 0.37
% 11.61/3.94 BG Simplification : 0.05
% 11.61/3.94 Subsumption : 1.04
% 11.61/3.94 Abstraction : 0.06
% 11.61/3.94 MUC search : 0.00
% 11.61/3.94 Cooper : 0.00
% 11.61/3.94 Total : 2.94
% 11.61/3.94 Index Insertion : 0.00
% 11.61/3.94 Index Deletion : 0.00
% 11.61/3.94 Index Matching : 0.00
% 11.61/3.94 BG Taut test : 0.00
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