%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYO892_15 : 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 : n003.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 2.88s 1.73s
% Output : CNFRefutation 2.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO892_15 : TPTP v9.0.0. Released v8.2.0.
% 0.07/0.13 % 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
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 10:23:48 EDT 2025
% 0.13/0.35 % CPUTime :
% 2.88/1.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.88/1.74
% 2.88/1.74 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.91/1.74 %$ f > #nlpp > #skF_2 > #skF_4 > #skF_1 > #skF_3
% 2.91/1.74
% 2.91/1.74 %Foreground sorts:
% 2.91/1.74 tff($ki_world, type, $ki_world: $tType ).
% 2.91/1.74
% 2.91/1.74 %Background operators:
% 2.91/1.74
% 2.91/1.74
% 2.91/1.74 %Foreground operators:
% 2.91/1.74 tff(f, type, f: ($ki_world * $i) > $o).
% 2.91/1.74 tff('#skF_2', type, '#skF_2': $ki_world > $i).
% 2.91/1.74 tff('#skF_4', type, '#skF_4': $i).
% 2.91/1.74 tff('#skF_1', type, '#skF_1': $ki_world > $ki_world).
% 2.91/1.74 tff('#skF_3', type, '#skF_3': $ki_world).
% 2.91/1.74
% 2.91/1.75 tff(f_56, negated_conjecture, ~((?[W:$ki_world]: ($ki_accessible($ki_local_world, W) & (![X]: ($ki_exists_in_world_$i(W, X) => f(W, X))))) => (![X]: ($ki_exists_in_world_$i($ki_local_world, X) => (?[W:$ki_world]: ($ki_accessible($ki_local_world, W) & f(W, X)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', verify)).
% 2.91/1.75 tff(f_37, 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)).
% 2.91/1.75 tff(c_14, plain, ($ki_accessible($ki_local_world, '#skF_3')), inference(cnfTransformation, [status(thm)], [f_56])).
% 2.91/1.75 tff(c_18, plain, (![X_15]: (f('#skF_3', X_15) | ~$ki_exists_in_world_$i('#skF_3', X_15))), inference(cnfTransformation, [status(thm)], [f_56])).
% 2.91/1.75 tff(c_8, plain, (![W_11:$ki_world]: (~f(W_11, '#skF_4') | ~$ki_accessible($ki_local_world, W_11))), inference(cnfTransformation, [status(thm)], [f_56])).
% 2.91/1.75 tff(c_22, plain, (~$ki_accessible($ki_local_world, '#skF_3') | ~$ki_exists_in_world_$i('#skF_3', '#skF_4')), inference(resolution, [status(thm)], [c_18, c_8])).
% 2.91/1.75 tff(c_25, plain, (~$ki_exists_in_world_$i('#skF_3', '#skF_4')), inference(demodulation, [status(thm), theory('equality')], [c_14, c_22])).
% 2.91/1.75 tff(c_10, plain, ($ki_exists_in_world_$i($ki_local_world, '#skF_4')), inference(cnfTransformation, [status(thm)], [f_56])).
% 2.91/1.75 tff(c_26, plain, (![V_16:$ki_world, X_17, W_18:$ki_world]: ($ki_exists_in_world_$i(V_16, X_17) | ~$ki_accessible(W_18, V_16) | ~$ki_exists_in_world_$i(W_18, X_17))), inference(cnfTransformation, [status(thm)], [f_37])).
% 2.91/1.75 tff(c_33, plain, (![X_19]: ($ki_exists_in_world_$i('#skF_3', X_19) | ~$ki_exists_in_world_$i($ki_local_world, X_19))), inference(resolution, [status(thm)], [c_14, c_26])).
% 2.91/1.75 tff(c_40, plain, ($ki_exists_in_world_$i('#skF_3', '#skF_4')), inference(resolution, [status(thm)], [c_10, c_33])).
% 2.91/1.75 tff(c_45, plain, $false, inference(negUnitSimplification, [status(thm)], [c_25, c_40])).
% 2.91/1.75 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
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