%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : DAT334_21 : 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 : n013.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 06:08:25 PM UTC 2025
% Result : Theorem 2.81s 1.61s
% Output : CNFRefutation 2.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT334_21 : TPTP v9.0.0. Released v8.2.0.
% 0.11/0.13 % 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
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 7 18:38:02 EDT 2025
% 0.13/0.33 % CPUTime :
% 2.81/1.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.81/1.62
% 2.81/1.62 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.81/1.62 %$ teach > #nlpp > sue > psych > math > mary > john > cs > #skF_3 > #skF_2 > #skF_4 > #skF_1
% 2.81/1.62
% 2.81/1.62 %Foreground sorts:
% 2.81/1.62 tff($ki_world, type, $ki_world: $tType ).
% 2.81/1.62
% 2.81/1.62 %Background operators:
% 2.81/1.62
% 2.81/1.62
% 2.81/1.62 %Foreground operators:
% 2.81/1.62 tff(sue, type, sue: $i).
% 2.81/1.62 tff(psych, type, psych: $i).
% 2.81/1.62 tff(teach, type, teach: ($ki_world * $i * $i) > $o).
% 2.81/1.62 tff(math, type, math: $i).
% 2.81/1.62 tff('#skF_3', type, '#skF_3': $ki_world > $i).
% 2.81/1.62 tff('#skF_2', type, '#skF_2': $ki_world > $i).
% 2.81/1.62 tff(mary, type, mary: $i).
% 2.81/1.62 tff(john, type, john: $i).
% 2.81/1.62 tff('#skF_4', type, '#skF_4': $ki_world).
% 2.81/1.62 tff('#skF_1', type, '#skF_1': $ki_world > $ki_world).
% 2.81/1.62 tff(cs, type, cs: $i).
% 2.81/1.62
% 2.81/1.63 tff(f_61, negated_conjecture, ~(![W:$ki_world]: ($ki_accessible($ki_local_world, W) => (?[X]: ($ki_exists_in_world_$i(W, X) & teach(W, X, cs))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', verify)).
% 2.81/1.63 tff(f_53, axiom, (![W:$ki_world]: ($ki_accessible($ki_local_world, W) => (((teach(W, john, math) & (?[X]: ($ki_exists_in_world_$i(W, X) & teach(W, X, cs)))) & teach(W, mary, psych)) & teach(W, sue, psych)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', db)).
% 2.81/1.63 tff(c_20, plain, ($ki_accessible($ki_local_world, '#skF_4')), inference(cnfTransformation, [status(thm)], [f_61])).
% 2.81/1.63 tff(c_14, plain, (![W_8:$ki_world]: ($ki_exists_in_world_$i(W_8, '#skF_3'(W_8)) | ~$ki_accessible($ki_local_world, W_8))), inference(cnfTransformation, [status(thm)], [f_53])).
% 2.81/1.63 tff(c_28, plain, (![W_19:$ki_world]: (teach(W_19, '#skF_3'(W_19), cs) | ~$ki_accessible($ki_local_world, W_19))), inference(cnfTransformation, [status(thm)], [f_53])).
% 2.81/1.63 tff(c_18, plain, (![X_11]: (~teach('#skF_4', X_11, cs) | ~$ki_exists_in_world_$i('#skF_4', X_11))), inference(cnfTransformation, [status(thm)], [f_61])).
% 2.81/1.63 tff(c_32, plain, (~$ki_exists_in_world_$i('#skF_4', '#skF_3'('#skF_4')) | ~$ki_accessible($ki_local_world, '#skF_4')), inference(resolution, [status(thm)], [c_28, c_18])).
% 2.81/1.63 tff(c_35, plain, (~$ki_exists_in_world_$i('#skF_4', '#skF_3'('#skF_4'))), inference(demodulation, [status(thm), theory('equality')], [c_20, c_32])).
% 2.81/1.63 tff(c_38, plain, (~$ki_accessible($ki_local_world, '#skF_4')), inference(resolution, [status(thm)], [c_14, c_35])).
% 2.81/1.63 tff(c_42, plain, $false, inference(demodulation, [status(thm), theory('equality')], [c_20, c_38])).
% 2.81/1.63 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
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