%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYO888_10 : 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 : n002.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 10:38:29 PM UTC 2025
% Result : Theorem 3.15s 1.81s
% Output : CNFRefutation 3.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO888_10 : 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
% 0.13/0.34 % Computer : n002.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 10:23:33 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.15/1.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.15/1.81
% 3.15/1.81 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.20/1.81 %$ h > g > f > #nlpp > #skF_1 > #skF_2 > #skF_3
% 3.20/1.81
% 3.20/1.81 %Foreground sorts:
% 3.20/1.81 tff($ki_world, type, $ki_world: $tType ).
% 3.20/1.81
% 3.20/1.81 %Background operators:
% 3.20/1.81
% 3.20/1.81
% 3.20/1.81 %Foreground operators:
% 3.20/1.81 tff('#skF_1', type, '#skF_1': $ki_world > $i).
% 3.20/1.81 tff(f, type, f: ($ki_world * $i) > $o).
% 3.20/1.81 tff(h, type, h: ($ki_world * $i) > $o).
% 3.20/1.81 tff('#skF_2', type, '#skF_2': $i).
% 3.20/1.81 tff(g, type, g: ($ki_world * $i) > $o).
% 3.20/1.81 tff('#skF_3', type, '#skF_3': $ki_world).
% 3.20/1.81
% 3.22/1.82 tff(f_69, negated_conjecture, ~(((![X]: ($ki_exists_in_world_$i($ki_local_world, X) => (f($ki_local_world, X) => (![W:$ki_world]: ($ki_accessible($ki_local_world, W) => g(W, X)))))) & (![X]: ($ki_exists_in_world_$i($ki_local_world, X) => (g($ki_local_world, X) => (![W:$ki_world]: ($ki_accessible($ki_local_world, W) => h(W, X))))))) => (![X]: ($ki_exists_in_world_$i($ki_local_world, X) => (f($ki_local_world, X) => (![W:$ki_world]: ($ki_accessible($ki_local_world, W) => h(W, X))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', verify)).
% 3.22/1.82 tff(f_30, axiom, (![W:$ki_world]: $ki_accessible(W, W)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mrel_reflexive)).
% 3.22/1.82 tff(c_14, plain, ($ki_exists_in_world_$i($ki_local_world, '#skF_2')), inference(cnfTransformation, [status(thm)], [f_69])).
% 3.22/1.82 tff(c_12, plain, (f($ki_local_world, '#skF_2')), inference(cnfTransformation, [status(thm)], [f_69])).
% 3.22/1.82 tff(c_2, plain, (![W_1:$ki_world]: ($ki_accessible(W_1, W_1))), inference(cnfTransformation, [status(thm)], [f_30])).
% 3.22/1.82 tff(c_18, plain, (![W_9:$ki_world, X_7]: (g(W_9, X_7) | ~$ki_accessible($ki_local_world, W_9) | ~f($ki_local_world, X_7) | ~$ki_exists_in_world_$i($ki_local_world, X_7))), inference(cnfTransformation, [status(thm)], [f_69])).
% 3.22/1.82 tff(c_10, plain, ($ki_accessible($ki_local_world, '#skF_3')), inference(cnfTransformation, [status(thm)], [f_69])).
% 3.22/1.82 tff(c_35, plain, (![W_20:$ki_world, X_21]: (h(W_20, X_21) | ~$ki_accessible($ki_local_world, W_20) | ~g($ki_local_world, X_21) | ~$ki_exists_in_world_$i($ki_local_world, X_21))), inference(cnfTransformation, [status(thm)], [f_69])).
% 3.22/1.82 tff(c_8, plain, (~h('#skF_3', '#skF_2')), inference(cnfTransformation, [status(thm)], [f_69])).
% 3.22/1.82 tff(c_38, plain, (~$ki_accessible($ki_local_world, '#skF_3') | ~g($ki_local_world, '#skF_2') | ~$ki_exists_in_world_$i($ki_local_world, '#skF_2')), inference(resolution, [status(thm)], [c_35, c_8])).
% 3.22/1.82 tff(c_41, plain, (~g($ki_local_world, '#skF_2')), inference(demodulation, [status(thm), theory('equality')], [c_14, c_10, c_38])).
% 3.22/1.82 tff(c_45, plain, (~$ki_accessible($ki_local_world, $ki_local_world) | ~f($ki_local_world, '#skF_2') | ~$ki_exists_in_world_$i($ki_local_world, '#skF_2')), inference(resolution, [status(thm)], [c_18, c_41])).
% 3.22/1.82 tff(c_49, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_14, c_12, c_2, c_45])).
% 3.22/1.82 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
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