%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PLA053_5 : TPTP v9.0.0. 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 : n032.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 : Wed Apr 9 08:23:10 PM UTC 2025
% Result : Theorem 2.68s 1.67s
% Output : CNFRefutation 2.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : PLA053_5 : TPTP v9.0.0. Released v8.2.0.
% 0.00/0.09 % 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
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Tue Apr 8 16:49:01 EDT 2025
% 0.09/0.29 % CPUTime :
% 2.68/1.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.68/1.68
% 2.68/1.68 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.68/1.68 %$ h > defused > bomb > #nlpp > #skF_5 > #skF_4 > #skF_1 > #skF_2 > #skF_6 > #skF_3
% 2.68/1.68
% 2.68/1.68 %Foreground sorts:
% 2.68/1.68 tff($ki_world, type, $ki_world: $tType ).
% 2.68/1.68
% 2.68/1.68 %Background operators:
% 2.68/1.68
% 2.68/1.68
% 2.68/1.68 %Foreground operators:
% 2.68/1.68 tff(defused, type, defused: ($ki_world * $i) > $o).
% 2.68/1.68 tff('#skF_5', type, '#skF_5': $ki_world).
% 2.68/1.68 tff('#skF_4', type, '#skF_4': ($ki_world * $i) > $i).
% 2.68/1.68 tff('#skF_1', type, '#skF_1': $ki_world > $i).
% 2.68/1.68 tff(h, type, h: ($ki_world * $i) > $o).
% 2.68/1.68 tff(bomb, type, bomb: ($ki_world * $i) > $o).
% 2.68/1.68 tff('#skF_2', type, '#skF_2': $ki_world > $i).
% 2.68/1.68 tff('#skF_6', type, '#skF_6': $i).
% 2.68/1.68 tff('#skF_3', type, '#skF_3': $i).
% 2.68/1.68
% 2.90/1.70 tff(f_32, axiom, (![W:$ki_world, X]: $ki_exists_in_world_$i(W, X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', $ki_exists_in_world_$i_const)).
% 2.90/1.70 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_$i(W, D) & ((bomb(W, X) & h(W, D)) => defused(W, X)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', verify)).
% 2.90/1.70 tff(f_30, axiom, (![W:$ki_world, V:$ki_world]: $ki_accessible(W, V)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mrel_universal)).
% 2.90/1.70 tff(f_59, axiom, (?[A]: ($ki_exists_in_world_$i($ki_local_world, A) & (![W:$ki_world]: ($ki_accessible($ki_local_world, W) => (![X]: ($ki_exists_in_world_$i(W, X) => ((bomb(W, X) & h(W, A)) => (![W0:$ki_world]: ($ki_accessible(W, W0) => bomb(W0, X)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax2)).
% 2.90/1.70 tff(f_76, axiom, (![W:$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/sandbox2/benchmark/theBenchmark.p', ax3)).
% 2.90/1.70 tff(c_4, plain, (![W_3:$ki_world, X_4]: ($ki_exists_in_world_$i(W_3, X_4))), inference(cnfTransformation, [status(thm)], [f_32])).
% 2.90/1.70 tff(c_28, plain, (![D_41]: (bomb('#skF_5', '#skF_6') | ~$ki_exists_in_world_$i('#skF_5', D_41))), inference(cnfTransformation, [status(thm)], [f_91])).
% 2.90/1.70 tff(c_33, plain, (bomb('#skF_5', '#skF_6')), inference(demodulation, [status(thm), theory('equality')], [c_4, c_28])).
% 2.90/1.70 tff(c_26, plain, (![D_41]: (h('#skF_5', D_41) | ~$ki_exists_in_world_$i('#skF_5', D_41))), inference(cnfTransformation, [status(thm)], [f_91])).
% 2.90/1.70 tff(c_39, plain, (![D_41]: (h('#skF_5', D_41))), inference(demodulation, [status(thm), theory('equality')], [c_4, c_26])).
% 2.90/1.70 tff(c_2, plain, (![W_1:$ki_world, V_2:$ki_world]: ($ki_accessible(W_1, V_2))), inference(cnfTransformation, [status(thm)], [f_30])).
% 2.90/1.70 tff(c_12, plain, (![W0_22:$ki_world, X_20, W_16:$ki_world]: (bomb(W0_22, X_20) | ~$ki_accessible(W_16, W0_22) | ~h(W_16, '#skF_3') | ~bomb(W_16, X_20) | ~$ki_exists_in_world_$i(W_16, X_20) | ~$ki_accessible($ki_local_world, W_16))), inference(cnfTransformation, [status(thm)], [f_59])).
% 2.90/1.70 tff(c_41, plain, (![W0_22:$ki_world, X_20, W_16:$ki_world]: (bomb(W0_22, X_20) | ~$ki_accessible(W_16, W0_22) | ~h(W_16, '#skF_3') | ~bomb(W_16, X_20) | ~$ki_accessible($ki_local_world, W_16))), inference(demodulation, [status(thm), theory('equality')], [c_4, c_12])).
% 2.90/1.70 tff(c_56, plain, (![W0_48:$ki_world, X_49, W_50:$ki_world]: (bomb(W0_48, X_49) | ~h(W_50, '#skF_3') | ~bomb(W_50, X_49))), inference(demodulation, [status(thm), theory('equality')], [c_2, c_2, c_41])).
% 2.90/1.70 tff(c_61, plain, (![W0_51:$ki_world, X_52]: (bomb(W0_51, X_52) | ~bomb('#skF_5', X_52))), inference(resolution, [status(thm)], [c_39, c_56])).
% 2.90/1.70 tff(c_68, plain, (![W0_51:$ki_world]: (bomb(W0_51, '#skF_6'))), inference(resolution, [status(thm)], [c_33, c_61])).
% 2.90/1.70 tff(c_16, plain, (![W0_36:$ki_world, X_31, W_23:$ki_world]: (defused(W0_36, X_31) | ~h(W0_36, '#skF_4'(W_23, X_31)) | ~bomb(W0_36, X_31) | ~$ki_accessible(W_23, W0_36) | ~$ki_exists_in_world_$i(W_23, X_31) | ~$ki_accessible($ki_local_world, W_23))), inference(cnfTransformation, [status(thm)], [f_76])).
% 2.90/1.70 tff(c_37, plain, (![W0_36:$ki_world, X_31, W_23:$ki_world]: (defused(W0_36, X_31) | ~h(W0_36, '#skF_4'(W_23, X_31)) | ~bomb(W0_36, X_31) | ~$ki_accessible(W_23, W0_36) | ~$ki_accessible($ki_local_world, W_23))), inference(demodulation, [status(thm), theory('equality')], [c_4, c_16])).
% 2.90/1.70 tff(c_82, plain, (![W0_55:$ki_world, X_56, W_57:$ki_world]: (defused(W0_55, X_56) | ~h(W0_55, '#skF_4'(W_57, X_56)) | ~bomb(W0_55, X_56))), inference(demodulation, [status(thm), theory('equality')], [c_2, c_2, c_37])).
% 2.90/1.70 tff(c_88, plain, (![X_58]: (defused('#skF_5', X_58) | ~bomb('#skF_5', X_58))), inference(resolution, [status(thm)], [c_39, c_82])).
% 2.90/1.70 tff(c_24, plain, (![D_41]: (~defused('#skF_5', '#skF_6') | ~$ki_exists_in_world_$i('#skF_5', D_41))), inference(cnfTransformation, [status(thm)], [f_91])).
% 2.90/1.70 tff(c_35, plain, (~defused('#skF_5', '#skF_6')), inference(demodulation, [status(thm), theory('equality')], [c_4, c_24])).
% 2.90/1.70 tff(c_91, plain, (~bomb('#skF_5', '#skF_6')), inference(resolution, [status(thm)], [c_88, c_35])).
% 2.90/1.70 tff(c_95, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_68, c_91])).
% 2.90/1.70 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------