%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYO891_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/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 : n023.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 3.03s 1.70s
% Output : CNFRefutation 3.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO891_16 : TPTP v9.0.0. Released v8.2.0.
% 0.03/0.13 % 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
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Apr 9 10:23:39 EDT 2025
% 0.12/0.34 % CPUTime :
% 3.03/1.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.03/1.71
% 3.03/1.71 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.03/1.71 %$ qmltpeq > p > #nlpp > #skF_1 > #skF_3 > #skF_2 > #skF_4
% 3.03/1.71
% 3.03/1.71 %Foreground sorts:
% 3.03/1.71 tff($ki_world, type, $ki_world: $tType ).
% 3.03/1.71
% 3.03/1.71 %Background operators:
% 3.03/1.71
% 3.03/1.71
% 3.03/1.71 %Foreground operators:
% 3.03/1.71 tff('#skF_1', type, '#skF_1': $ki_world > $i).
% 3.03/1.71 tff(p, type, p: ($ki_world * $i) > $o).
% 3.03/1.71 tff('#skF_3', type, '#skF_3': $i).
% 3.03/1.71 tff(qmltpeq, type, qmltpeq: ($ki_world * $i * $i) > $o).
% 3.03/1.71 tff('#skF_2', type, '#skF_2': ($i * $ki_world) > $i).
% 3.03/1.71 tff('#skF_4', type, '#skF_4': $ki_world).
% 3.03/1.71
% 3.03/1.72 tff(f_110, negated_conjecture, ~((![X]: ($ki_exists_in_world_$i($ki_local_world, X) => (![W:$ki_world]: ($ki_accessible($ki_local_world, W) => (?[Y]: ($ki_exists_in_world_$i(W, Y) & qmltpeq(W, X, Y))))))) => ((?[X]: ($ki_exists_in_world_$i($ki_local_world, X) & (?[W:$ki_world]: ($ki_accessible($ki_local_world, W) & p(W, X))))) => (?[W:$ki_world]: ($ki_accessible($ki_local_world, W) & (?[X]: ($ki_exists_in_world_$i(W, X) & p(W, X))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', verify)).
% 3.03/1.72 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/sandbox2/benchmark/theBenchmark.p', $ki_exists_in_world_$i_cumul)).
% 3.03/1.72 tff(c_22, plain, ($ki_accessible($ki_local_world, '#skF_4')), inference(cnfTransformation, [status(thm)], [f_110])).
% 3.03/1.72 tff(c_20, plain, (p('#skF_4', '#skF_3')), inference(cnfTransformation, [status(thm)], [f_110])).
% 3.03/1.72 tff(c_46, plain, (![W_41:$ki_world, X_42]: (~p(W_41, X_42) | ~$ki_exists_in_world_$i(W_41, X_42) | ~$ki_accessible($ki_local_world, W_41))), inference(cnfTransformation, [status(thm)], [f_110])).
% 3.03/1.72 tff(c_49, plain, (~$ki_exists_in_world_$i('#skF_4', '#skF_3') | ~$ki_accessible($ki_local_world, '#skF_4')), inference(resolution, [status(thm)], [c_20, c_46])).
% 3.03/1.72 tff(c_52, plain, (~$ki_exists_in_world_$i('#skF_4', '#skF_3')), inference(demodulation, [status(thm), theory('equality')], [c_22, c_49])).
% 3.03/1.72 tff(c_24, plain, ($ki_exists_in_world_$i($ki_local_world, '#skF_3')), inference(cnfTransformation, [status(thm)], [f_110])).
% 3.03/1.72 tff(c_54, plain, (![V_45:$ki_world, X_46, W_47:$ki_world]: ($ki_exists_in_world_$i(V_45, X_46) | ~$ki_accessible(W_47, V_45) | ~$ki_exists_in_world_$i(W_47, X_46))), inference(cnfTransformation, [status(thm)], [f_42])).
% 3.03/1.72 tff(c_61, plain, (![X_48]: ($ki_exists_in_world_$i('#skF_4', X_48) | ~$ki_exists_in_world_$i($ki_local_world, X_48))), inference(resolution, [status(thm)], [c_22, c_54])).
% 3.03/1.72 tff(c_72, plain, ($ki_exists_in_world_$i('#skF_4', '#skF_3')), inference(resolution, [status(thm)], [c_24, c_61])).
% 3.03/1.72 tff(c_80, plain, $false, inference(negUnitSimplification, [status(thm)], [c_52, c_72])).
% 3.03/1.72 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
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