%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : LCL970_15 : TPTP v9.3.1. 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:13:04 AM UTC 2026
% Result : CounterSatisfiable 3.97s 2.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL970_15 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.05 % 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
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 6 00:03:15 UTC 2026
% 0.10/0.38 % CPUTime :
% 3.97/2.43
% 3.97/2.43 % SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.97/2.43
% 3.97/2.43 % SZS output start Saturation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.97/2.44 %$ big_q > big_p > #nlpp > #skF_4 > #skF_5 > #skF_6 > #skF_7 > #skF_2 > #skF_3 > #skF_1
% 3.97/2.44
% 3.97/2.44 %Foreground sorts:
% 3.97/2.44 tff($ki_world, type, $ki_world: $tType ).
% 3.97/2.44
% 3.97/2.44 %Background operators:
% 3.97/2.44
% 3.97/2.44
% 3.97/2.44 %Foreground operators:
% 3.97/2.44 tff('#skF_4', type, '#skF_4': $i > $i).
% 3.97/2.44 tff('#skF_5', type, '#skF_5': $i > $ki_world).
% 3.97/2.44 tff('#skF_6', type, '#skF_6': $i > $ki_world).
% 3.97/2.44 tff('#skF_7', type, '#skF_7': $i > $ki_world).
% 3.97/2.44 tff('#skF_2', type, '#skF_2': $ki_world > $i).
% 3.97/2.44 tff(big_q, type, big_q: ($ki_world * $i) > $o).
% 3.97/2.44 tff('#skF_3', type, '#skF_3': $i > $ki_world).
% 3.97/2.44 tff(big_p, type, big_p: ($ki_world * $i) > $o).
% 3.97/2.44 tff('#skF_1', type, '#skF_1': $ki_world > $ki_world).
% 3.97/2.44
% 3.97/2.44 %Saturated clause set:
% 3.97/2.45 tff(c_73, plain, (![X_102]: (~$ki_exists_in_world_$i($ki_local_world, '#skF_4'(X_102)) | ~$ki_accessible('#skF_5'(X_102), '#skF_6'('#skF_4'(X_102))) | ~$ki_exists_in_world_$i($ki_local_world, X_102)))).
% 3.97/2.45 tff(c_84, plain, (![X_8, X_97]: ($ki_exists_in_world_$i('#skF_6'(X_8), X_97) | ~$ki_exists_in_world_$i('#skF_3'(X_8), X_97) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.45 tff(c_94, plain, (![X_8, X_97]: ($ki_exists_in_world_$i('#skF_7'(X_8), X_97) | ~$ki_exists_in_world_$i('#skF_3'(X_8), X_97) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.45 tff(c_95, plain, (![X_109]: ($ki_exists_in_world_$i('#skF_7'(X_109), '#skF_2'('#skF_5'(X_109))) | ~$ki_exists_in_world_$i($ki_local_world, X_109)))).
% 3.97/2.45 tff(c_85, plain, (![X_107]: ($ki_exists_in_world_$i('#skF_6'(X_107), '#skF_2'('#skF_5'(X_107))) | ~$ki_exists_in_world_$i($ki_local_world, X_107)))).
% 3.97/2.45 tff(c_64, plain, (![X_8, X_97]: ($ki_exists_in_world_$i('#skF_7'(X_8), X_97) | ~$ki_exists_in_world_$i('#skF_5'(X_8), X_97) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.45 tff(c_63, plain, (![X_8, X_97]: ($ki_exists_in_world_$i('#skF_6'(X_8), X_97) | ~$ki_exists_in_world_$i('#skF_5'(X_8), X_97) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.45 tff(c_62, plain, (![X_8, X_97]: ($ki_exists_in_world_$i('#skF_5'(X_8), X_97) | ~$ki_exists_in_world_$i('#skF_3'(X_8), X_97) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.46 tff(c_65, plain, (![X_8, X_97]: ($ki_exists_in_world_$i('#skF_3'(X_8), X_97) | ~$ki_exists_in_world_$i($ki_local_world, X_97) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.46 tff(c_16, plain, (![W1_81:$ki_world, X_8]: (big_q(W1_81, '#skF_4'(X_8)) | ~$ki_accessible('#skF_5'(X_8), W1_81) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.46 tff(c_66, plain, (![W_1:$ki_world, X_97]: ($ki_exists_in_world_$i('#skF_1'(W_1), X_97) | ~$ki_exists_in_world_$i(W_1, X_97)))).
% 3.97/2.46 tff(c_4, plain, (![V_4:$ki_world, X_5, W_3:$ki_world]: ($ki_exists_in_world_$i(V_4, X_5) | ~$ki_accessible(W_3, V_4) | ~$ki_exists_in_world_$i(W_3, X_5)))).
% 3.97/2.46 tff(c_47, plain, (![X_92]: (big_p('#skF_1'('#skF_5'(X_92)), X_92) | ~$ki_exists_in_world_$i($ki_local_world, X_92)))).
% 3.97/2.46 tff(c_46, plain, (![X_8]: (big_p('#skF_7'(X_8), X_8) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.46 tff(c_45, plain, (![X_8]: (big_p('#skF_6'(X_8), X_8) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.46 tff(c_18, plain, (![W1_80:$ki_world, X_8]: (big_p(W1_80, X_8) | ~$ki_accessible('#skF_5'(X_8), W1_80) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.46 tff(c_20, plain, (![X_8]: ($ki_accessible('#skF_3'(X_8), '#skF_5'(X_8)) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.46 tff(c_22, plain, (![X_8]: ($ki_exists_in_world_$i('#skF_3'(X_8), '#skF_4'(X_8)) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.46 tff(c_14, plain, (![X_8]: ($ki_accessible('#skF_5'(X_8), '#skF_6'(X_8)) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.46 tff(c_8, plain, (![X_8]: (~big_p('#skF_7'(X_8), '#skF_4'(X_8)) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.46 tff(c_10, plain, (![X_8]: ($ki_accessible('#skF_5'(X_8), '#skF_7'(X_8)) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.46 tff(c_12, plain, (![X_8]: (~big_q('#skF_6'(X_8), X_8) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.46 tff(c_24, plain, (![X_8]: ($ki_accessible($ki_local_world, '#skF_3'(X_8)) | ~$ki_exists_in_world_$i($ki_local_world, X_8)))).
% 3.97/2.46 tff(c_2, plain, (![W_1:$ki_world]: ($ki_accessible(W_1, '#skF_1'(W_1))))).
% 3.97/2.46 tff(c_6, plain, (![W_6:$ki_world]: ($ki_exists_in_world_$i(W_6, '#skF_2'(W_6))))).
% 3.97/2.46 % SZS output end Saturation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.97/2.46
%------------------------------------------------------------------------------