%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PLA053_4 : 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 : n014.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 08:23:09 PM UTC 2025
% Result : Theorem 3.18s 1.82s
% Output : CNFRefutation 3.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : PLA053_4 : TPTP v9.0.0. Released v8.2.0.
% 0.13/0.13 % 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
% 0.13/0.35 % Computer : n014.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 : Tue Apr 8 16:49:19 EDT 2025
% 0.13/0.35 % CPUTime :
% 3.18/1.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.18/1.82
% 3.18/1.82 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.18/1.83 %$ h > defused > bomb > #nlpp > #skF_5 > #skF_4 > #skF_1 > #skF_2 > #skF_6 > #skF_3
% 3.18/1.83
% 3.18/1.83 %Foreground sorts:
% 3.18/1.83 tff($ki_world, type, $ki_world: $tType ).
% 3.18/1.83
% 3.18/1.83 %Background operators:
% 3.18/1.83
% 3.18/1.83
% 3.18/1.83 %Foreground operators:
% 3.18/1.83 tff(defused, type, defused: ($ki_world * $i) > $o).
% 3.18/1.83 tff('#skF_5', type, '#skF_5': $ki_world).
% 3.18/1.83 tff('#skF_4', type, '#skF_4': ($ki_world * $i) > $i).
% 3.18/1.83 tff('#skF_1', type, '#skF_1': $ki_world > $i).
% 3.18/1.83 tff(h, type, h: ($ki_world * $i) > $o).
% 3.18/1.83 tff(bomb, type, bomb: ($ki_world * $i) > $o).
% 3.18/1.83 tff('#skF_2', type, '#skF_2': $ki_world > $i).
% 3.18/1.83 tff('#skF_6', type, '#skF_6': $i).
% 3.18/1.83 tff('#skF_3', type, '#skF_3': $i).
% 3.18/1.83
% 3.18/1.84 tff(f_38, axiom, (![W:$ki_world, X]: $ki_exists_in_world_$i(W, X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', $ki_exists_in_world_$i_const)).
% 3.18/1.84 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_$i(W, D) & ((bomb(W, X) & h(W, D)) => defused(W, X)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', verify)).
% 3.18/1.84 tff(f_30, axiom, (![W:$ki_world]: $ki_accessible(W, W)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mrel_reflexive)).
% 3.18/1.84 tff(f_82, axiom, (![W:$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/sandbox2/benchmark/theBenchmark.p', ax3)).
% 3.18/1.84 tff(c_6, plain, (![W_5:$ki_world, X_6]: ($ki_exists_in_world_$i(W_5, X_6))), inference(cnfTransformation, [status(thm)], [f_38])).
% 3.18/1.84 tff(c_30, plain, (![D_43]: (bomb('#skF_5', '#skF_6') | ~$ki_exists_in_world_$i('#skF_5', D_43))), inference(cnfTransformation, [status(thm)], [f_97])).
% 3.18/1.84 tff(c_35, plain, (bomb('#skF_5', '#skF_6')), inference(demodulation, [status(thm), theory('equality')], [c_6, c_30])).
% 3.18/1.84 tff(c_24, plain, ($ki_accessible($ki_local_world, '#skF_5')), inference(cnfTransformation, [status(thm)], [f_97])).
% 3.18/1.84 tff(c_2, plain, (![W_1:$ki_world]: ($ki_accessible(W_1, W_1))), inference(cnfTransformation, [status(thm)], [f_30])).
% 3.18/1.84 tff(c_28, plain, (![D_43]: (h('#skF_5', D_43) | ~$ki_exists_in_world_$i('#skF_5', D_43))), inference(cnfTransformation, [status(thm)], [f_97])).
% 3.18/1.84 tff(c_41, plain, (![D_43]: (h('#skF_5', D_43))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_28])).
% 3.18/1.84 tff(c_18, plain, (![W0_38:$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])).
% 3.18/1.84 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($ki_local_world, W_58))), inference(demodulation, [status(thm), theory('equality')], [c_6, c_18])).
% 3.18/1.84 tff(c_80, plain, (![X_57, W_58:$ki_world]: (defused('#skF_5', X_57) | ~bomb('#skF_5', X_57) | ~$ki_accessible(W_58, '#skF_5') | ~$ki_accessible($ki_local_world, W_58))), inference(resolution, [status(thm)], [c_41, c_75])).
% 3.18/1.84 tff(c_82, plain, (![W_59:$ki_world]: (~$ki_accessible(W_59, '#skF_5') | ~$ki_accessible($ki_local_world, W_59))), inference(splitLeft, [status(thm)], [c_80])).
% 3.18/1.84 tff(c_85, plain, (~$ki_accessible($ki_local_world, '#skF_5')), inference(resolution, [status(thm)], [c_2, c_82])).
% 3.18/1.84 tff(c_91, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_24, c_85])).
% 3.18/1.84 tff(c_93, plain, (![X_60]: (defused('#skF_5', X_60) | ~bomb('#skF_5', X_60))), inference(splitRight, [status(thm)], [c_80])).
% 3.18/1.84 tff(c_26, plain, (![D_43]: (~defused('#skF_5', '#skF_6') | ~$ki_exists_in_world_$i('#skF_5', D_43))), inference(cnfTransformation, [status(thm)], [f_97])).
% 3.18/1.84 tff(c_37, plain, (~defused('#skF_5', '#skF_6')), inference(demodulation, [status(thm), theory('equality')], [c_6, c_26])).
% 3.18/1.84 tff(c_96, plain, (~bomb('#skF_5', '#skF_6')), inference(resolution, [status(thm)], [c_93, c_37])).
% 3.18/1.84 tff(c_100, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_35, c_96])).
% 3.18/1.84 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------