%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT012-1 : TPTP v9.3.0. Released v2.4.0.
% 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 : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:02:50 AM UTC 2026
% Result : Unsatisfiable 5.18s 3.31s
% Output : CNFRefutation 5.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 42 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 148 ( 6 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 217 ( 111 ~; 106 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 92 ( 92 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ reorganization_free > inertia > complexity > class > organization > greater > sk2 > sk1 > #nlpp > sk7 > sk6 > sk5 > sk4 > sk3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(reorganization_free,type,
reorganization_free: ( $i * $i * $i ) > $o ).
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(sk2,type,
sk2: ( $i * $i ) > $i ).
tff(complexity,type,
complexity: ( $i * $i * $i ) > $o ).
tff(sk6,type,
sk6: $i ).
tff(inertia,type,
inertia: ( $i * $i * $i ) > $o ).
tff(sk4,type,
sk4: $i ).
tff(sk5,type,
sk5: $i ).
tff(sk3,type,
sk3: $i ).
tff(class,type,
class: ( $i * $i * $i ) > $o ).
tff(organization,type,
organization: ( $i * $i ) > $o ).
tff(sk7,type,
sk7: $i ).
tff(sk1,type,
sk1: ( $i * $i ) > $i ).
tff(f_114,axiom,
organization(sk3,sk6),
file(unknown,unknown) ).
tff(f_115,axiom,
organization(sk3,sk7),
file(unknown,unknown) ).
tff(f_118,axiom,
complexity(sk3,sk5,sk7),
file(unknown,unknown) ).
tff(f_117,axiom,
complexity(sk3,sk4,sk6),
file(unknown,unknown) ).
tff(f_116,axiom,
reorganization_free(sk3,sk6,sk7),
file(unknown,unknown) ).
tff(f_119,axiom,
greater(sk7,sk6),
file(unknown,unknown) ).
tff(f_47,axiom,
! [A,B] :
( ~ organization(A,B)
| class(A,sk2(B,A),B) ),
file(unknown,unknown) ).
tff(f_64,axiom,
! [A,B,C,E,D] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ class(A,D,B)
| ~ class(A,E,C)
| ( D = E ) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [A,B] :
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ),
file(unknown,unknown) ).
tff(f_120,axiom,
greater(sk4,sk5),
file(unknown,unknown) ).
tff(f_93,axiom,
! [H,A,I,F,G,B,C,E,D] :
( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ complexity(A,F,B)
| ~ complexity(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F)
| greater(I,H) ),
file(unknown,unknown) ).
tff(f_113,axiom,
! [A,B,C,E,D] :
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C)
| ~ greater(C,B)
| greater(E,D) ),
file(unknown,unknown) ).
tff(f_42,axiom,
! [A,B] :
( ~ greater(A,B)
| ~ greater(B,A) ),
file(unknown,unknown) ).
tff(c_16,plain,
organization(sk3,sk6),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_18,plain,
organization(sk3,sk7),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_24,plain,
complexity(sk3,sk5,sk7),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_22,plain,
complexity(sk3,sk4,sk6),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_20,plain,
reorganization_free(sk3,sk6,sk7),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_26,plain,
greater(sk7,sk6),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_8,plain,
! [A_7,B_8] :
( class(A_7,sk2(B_8,A_7),B_8)
| ~ organization(A_7,B_8) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_39,plain,
! [E_36,C_37,D_38,B_35,A_39] :
( ( E_36 = D_38 )
| ~ class(A_39,E_36,C_37)
| ~ class(A_39,D_38,B_35)
| ~ reorganization_free(A_39,B_35,C_37)
| ~ organization(A_39,C_37)
| ~ organization(A_39,B_35) ),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_43,plain,
! [B_40,A_41,D_42,B_43] :
( ( sk2(B_40,A_41) = D_42 )
| ~ class(A_41,D_42,B_43)
| ~ reorganization_free(A_41,B_43,B_40)
| ~ organization(A_41,B_43)
| ~ organization(A_41,B_40) ),
inference(resolution,[status(thm)],[c_8,c_39]) ).
tff(c_51,plain,
! [B_51,A_50,B_49] :
( ( sk2(B_51,A_50) = sk2(B_49,A_50) )
| ~ reorganization_free(A_50,B_49,B_51)
| ~ organization(A_50,B_51)
| ~ organization(A_50,B_49) ),
inference(resolution,[status(thm)],[c_8,c_43]) ).
tff(c_54,plain,
( ( sk2(sk7,sk3) = sk2(sk6,sk3) )
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6) ),
inference(resolution,[status(thm)],[c_20,c_51]) ).
tff(c_57,plain,
sk2(sk7,sk3) = sk2(sk6,sk3),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_18,c_54]) ).
tff(c_61,plain,
( class(sk3,sk2(sk6,sk3),sk7)
| ~ organization(sk3,sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_57,c_8]) ).
tff(c_65,plain,
class(sk3,sk2(sk6,sk3),sk7),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_61]) ).
tff(c_2,plain,
! [A_1,B_2] :
( inertia(A_1,sk1(B_2,A_1),B_2)
| ~ organization(A_1,B_2) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_28,plain,
greater(sk4,sk5),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_77,plain,
! [A_57,B_59,E_55,I_53,F_56,H_60,C_54,G_52,D_58] :
( greater(I_53,H_60)
| ~ greater(G_52,F_56)
| ~ inertia(C_54,I_53,D_58)
| ~ inertia(A_57,H_60,B_59)
| ~ complexity(C_54,G_52,D_58)
| ~ complexity(A_57,F_56,B_59)
| ~ class(C_54,E_55,D_58)
| ~ class(A_57,E_55,B_59)
| ~ organization(C_54,D_58)
| ~ organization(A_57,B_59) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_120,plain,
! [A_76,D_73,H_78,I_75,E_74,B_72,C_77] :
( greater(I_75,H_78)
| ~ inertia(C_77,I_75,D_73)
| ~ inertia(A_76,H_78,B_72)
| ~ complexity(C_77,sk4,D_73)
| ~ complexity(A_76,sk5,B_72)
| ~ class(C_77,E_74,D_73)
| ~ class(A_76,E_74,B_72)
| ~ organization(C_77,D_73)
| ~ organization(A_76,B_72) ),
inference(resolution,[status(thm)],[c_28,c_77]) ).
tff(c_129,plain,
! [E_83,H_82,A_87,B_84,B_85,A_86] :
( greater(sk1(B_85,A_87),H_82)
| ~ inertia(A_86,H_82,B_84)
| ~ complexity(A_87,sk4,B_85)
| ~ complexity(A_86,sk5,B_84)
| ~ class(A_87,E_83,B_85)
| ~ class(A_86,E_83,B_84)
| ~ organization(A_86,B_84)
| ~ organization(A_87,B_85) ),
inference(resolution,[status(thm)],[c_2,c_120]) ).
tff(c_133,plain,
! [A_88,B_89,A_91,E_92,B_90] :
( greater(sk1(B_89,A_88),sk1(B_90,A_91))
| ~ complexity(A_88,sk4,B_89)
| ~ complexity(A_91,sk5,B_90)
| ~ class(A_88,E_92,B_89)
| ~ class(A_91,E_92,B_90)
| ~ organization(A_88,B_89)
| ~ organization(A_91,B_90) ),
inference(resolution,[status(thm)],[c_2,c_129]) ).
tff(c_142,plain,
! [B_93,A_94,B_95,A_96] :
( greater(sk1(B_93,A_94),sk1(B_95,A_96))
| ~ complexity(A_94,sk4,B_93)
| ~ complexity(A_96,sk5,B_95)
| ~ class(A_96,sk2(B_93,A_94),B_95)
| ~ organization(A_96,B_95)
| ~ organization(A_94,B_93) ),
inference(resolution,[status(thm)],[c_8,c_133]) ).
tff(c_47,plain,
! [A_47,D_48,B_46,C_44,E_45] :
( greater(E_45,D_48)
| ~ greater(C_44,B_46)
| ~ inertia(A_47,E_45,C_44)
| ~ inertia(A_47,D_48,B_46)
| ~ reorganization_free(A_47,B_46,C_44)
| ~ organization(A_47,C_44)
| ~ organization(A_47,B_46) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_104,plain,
! [B_65,A_66,D_67,B_68] :
( greater(sk1(B_65,A_66),D_67)
| ~ greater(B_65,B_68)
| ~ inertia(A_66,D_67,B_68)
| ~ reorganization_free(A_66,B_68,B_65)
| ~ organization(A_66,B_68)
| ~ organization(A_66,B_65) ),
inference(resolution,[status(thm)],[c_2,c_47]) ).
tff(c_108,plain,
! [B_69,A_70,B_71] :
( greater(sk1(B_69,A_70),sk1(B_71,A_70))
| ~ greater(B_69,B_71)
| ~ reorganization_free(A_70,B_71,B_69)
| ~ organization(A_70,B_69)
| ~ organization(A_70,B_71) ),
inference(resolution,[status(thm)],[c_2,c_104]) ).
tff(c_6,plain,
! [B_6,A_5] :
( ~ greater(B_6,A_5)
| ~ greater(A_5,B_6) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_118,plain,
! [B_71,A_70,B_69] :
( ~ greater(sk1(B_71,A_70),sk1(B_69,A_70))
| ~ greater(B_69,B_71)
| ~ reorganization_free(A_70,B_71,B_69)
| ~ organization(A_70,B_69)
| ~ organization(A_70,B_71) ),
inference(resolution,[status(thm)],[c_108,c_6]) ).
tff(c_176,plain,
! [B_101,B_102,A_103] :
( ~ greater(B_101,B_102)
| ~ reorganization_free(A_103,B_102,B_101)
| ~ complexity(A_103,sk4,B_102)
| ~ complexity(A_103,sk5,B_101)
| ~ class(A_103,sk2(B_102,A_103),B_101)
| ~ organization(A_103,B_101)
| ~ organization(A_103,B_102) ),
inference(resolution,[status(thm)],[c_142,c_118]) ).
tff(c_179,plain,
( ~ greater(sk7,sk6)
| ~ reorganization_free(sk3,sk6,sk7)
| ~ complexity(sk3,sk4,sk6)
| ~ complexity(sk3,sk5,sk7)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6) ),
inference(resolution,[status(thm)],[c_65,c_176]) ).
tff(c_189,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_18,c_24,c_22,c_20,c_26,c_179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT012-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.07 % 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
% 0.20/0.45 % Computer : n002.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 7 11:52:52 UTC 2026
% 0.20/0.45 % CPUTime :
% 5.18/3.31 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.18/3.33
% 5.18/3.33 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------