%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYO890_16 : 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/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 : n021.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 10:38:30 PM UTC 2025
% Result : Theorem 2.82s 1.65s
% Output : CNFRefutation 2.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYO890_16 : TPTP v9.0.0. Released v8.2.0.
% 0.11/0.14 % 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
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Apr 9 10:23:44 EDT 2025
% 0.14/0.35 % CPUTime :
% 2.82/1.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.82/1.65
% 2.82/1.65 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.82/1.66 %$ f > e > #nlpp > #skF_1 > #skF_2 > #skF_3
% 2.82/1.66
% 2.82/1.66 %Foreground sorts:
% 2.82/1.66 tff($ki_world, type, $ki_world: $tType ).
% 2.82/1.66
% 2.82/1.66 %Background operators:
% 2.82/1.66
% 2.82/1.66
% 2.82/1.66 %Foreground operators:
% 2.82/1.66 tff(e, type, e: ($ki_world * $i) > $o).
% 2.82/1.66 tff('#skF_1', type, '#skF_1': $ki_world > $i).
% 2.82/1.66 tff(f, type, f: ($ki_world * $i) > $o).
% 2.82/1.66 tff('#skF_2', type, '#skF_2': $i).
% 2.82/1.66 tff('#skF_3', type, '#skF_3': $ki_world).
% 2.82/1.66
% 2.82/1.67 tff(f_63, negated_conjecture, ~((?[X]: ($ki_exists_in_world_$i($ki_local_world, X) & (![W:$ki_world]: ($ki_accessible($ki_local_world, W) => (e(W, X) & f(W, X)))))) => (![W:$ki_world]: ($ki_accessible($ki_local_world, W) => (?[X]: ($ki_exists_in_world_$i(W, X) & f(W, X)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', verify)).
% 2.82/1.67 tff(f_42, axiom, (![W:$ki_world, V:$ki_world, X]: (($ki_exists_in_world_$i(W, X) & $ki_accessible(W, V)) => $ki_exists_in_world_$i(V, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', $ki_exists_in_world_$i_cumul)).
% 2.82/1.67 tff(c_12, plain, ($ki_accessible($ki_local_world, '#skF_3')), inference(cnfTransformation, [status(thm)], [f_63])).
% 2.82/1.67 tff(c_16, plain, (![W_11:$ki_world]: (f(W_11, '#skF_2') | ~$ki_accessible($ki_local_world, W_11))), inference(cnfTransformation, [status(thm)], [f_63])).
% 2.82/1.67 tff(c_22, plain, (![X_17]: (~f('#skF_3', X_17) | ~$ki_exists_in_world_$i('#skF_3', X_17))), inference(cnfTransformation, [status(thm)], [f_63])).
% 2.82/1.67 tff(c_26, plain, (~$ki_exists_in_world_$i('#skF_3', '#skF_2') | ~$ki_accessible($ki_local_world, '#skF_3')), inference(resolution, [status(thm)], [c_16, c_22])).
% 2.82/1.67 tff(c_29, plain, (~$ki_exists_in_world_$i('#skF_3', '#skF_2')), inference(demodulation, [status(thm), theory('equality')], [c_12, c_26])).
% 2.82/1.67 tff(c_14, plain, ($ki_exists_in_world_$i($ki_local_world, '#skF_2')), inference(cnfTransformation, [status(thm)], [f_63])).
% 2.82/1.67 tff(c_31, plain, (![V_19:$ki_world, X_20, W_21:$ki_world]: ($ki_exists_in_world_$i(V_19, X_20) | ~$ki_accessible(W_21, V_19) | ~$ki_exists_in_world_$i(W_21, X_20))), inference(cnfTransformation, [status(thm)], [f_42])).
% 2.82/1.67 tff(c_38, plain, (![X_22]: ($ki_exists_in_world_$i('#skF_3', X_22) | ~$ki_exists_in_world_$i($ki_local_world, X_22))), inference(resolution, [status(thm)], [c_12, c_31])).
% 2.82/1.67 tff(c_45, plain, ($ki_exists_in_world_$i('#skF_3', '#skF_2')), inference(resolution, [status(thm)], [c_14, c_38])).
% 2.82/1.67 tff(c_50, plain, $false, inference(negUnitSimplification, [status(thm)], [c_29, c_45])).
% 2.82/1.67 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
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