TSTP Solution File: MGT011+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : MGT011+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n019.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 : Tue Aug 22 10:49:30 EDT 2023
% Result : Theorem 3.78s 1.98s
% Output : CNFRefutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 49 ( 10 unt; 13 typ; 0 def)
% Number of atoms : 148 ( 6 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 202 ( 90 ~; 83 |; 23 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 8 >; 12 *; 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 : 99 (; 97 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ size > reorganization_free > inertia > class > organization > greater > #nlpp > #skF_7 > #skF_5 > #skF_6 > #skF_3 > #skF_4 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(reorganization_free,type,
reorganization_free: ( $i * $i * $i ) > $o ).
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(size,type,
size: ( $i * $i * $i ) > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(inertia,type,
inertia: ( $i * $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(class,type,
class: ( $i * $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(organization,type,
organization: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_114,negated_conjecture,
~ ! [X,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& size(X,S1,T1)
& size(X,S2,T2)
& greater(T2,T1) )
=> ~ greater(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL) ).
tff(f_49,axiom,
! [X,T] :
( organization(X,T)
=> ? [C] : class(X,C,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp9) ).
tff(f_62,axiom,
! [X,T1,T2,C1,C2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& class(X,C1,T1)
& class(X,C2,T2) )
=> ( C1 = C2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp10) ).
tff(f_34,axiom,
! [X,T] :
( organization(X,T)
=> ? [I] : inertia(X,I,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5) ).
tff(f_84,hypothesis,
! [X,Y,C,S1,S2,I1,I2,T1,T2] :
( ( organization(X,T1)
& organization(Y,T2)
& class(X,C,T1)
& class(Y,C,T2)
& size(X,S1,T1)
& size(Y,S2,T2)
& inertia(X,I1,T1)
& inertia(Y,I2,T2)
& greater(S2,S1) )
=> greater(I2,I1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL) ).
tff(f_98,hypothesis,
! [X,I1,I2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& inertia(X,I1,T1)
& inertia(X,I2,T2)
& greater(T2,T1) )
=> greater(I2,I1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL) ).
tff(f_44,axiom,
! [X,Y] :
~ ( greater(X,Y)
& greater(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2) ).
tff(c_28,plain,
organization('#skF_3','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_26,plain,
organization('#skF_3','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_20,plain,
size('#skF_3','#skF_5','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_22,plain,
size('#skF_3','#skF_4','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_24,plain,
reorganization_free('#skF_3','#skF_6','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_18,plain,
greater('#skF_7','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_8,plain,
! [X_8,T_9] :
( class(X_8,'#skF_2'(X_8,T_9),T_9)
| ~ organization(X_8,T_9) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_39,plain,
! [C2_37,X_40,T1_39,C1_41,T2_38] :
( ( C2_37 = C1_41 )
| ~ class(X_40,C2_37,T2_38)
| ~ class(X_40,C1_41,T1_39)
| ~ reorganization_free(X_40,T1_39,T2_38)
| ~ organization(X_40,T2_38)
| ~ organization(X_40,T1_39) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_43,plain,
! [C1_42,X_43,T_44,T1_45] :
( ( C1_42 = '#skF_2'(X_43,T_44) )
| ~ class(X_43,C1_42,T1_45)
| ~ reorganization_free(X_43,T1_45,T_44)
| ~ organization(X_43,T1_45)
| ~ organization(X_43,T_44) ),
inference(resolution,[status(thm)],[c_8,c_39]) ).
tff(c_51,plain,
! [X_51,T_53,T_52] :
( ( '#skF_2'(X_51,T_53) = '#skF_2'(X_51,T_52) )
| ~ reorganization_free(X_51,T_52,T_53)
| ~ organization(X_51,T_53)
| ~ organization(X_51,T_52) ),
inference(resolution,[status(thm)],[c_8,c_43]) ).
tff(c_54,plain,
( ( '#skF_2'('#skF_3','#skF_7') = '#skF_2'('#skF_3','#skF_6') )
| ~ organization('#skF_3','#skF_7')
| ~ organization('#skF_3','#skF_6') ),
inference(resolution,[status(thm)],[c_24,c_51]) ).
tff(c_57,plain,
'#skF_2'('#skF_3','#skF_7') = '#skF_2'('#skF_3','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_26,c_54]) ).
tff(c_61,plain,
( class('#skF_3','#skF_2'('#skF_3','#skF_6'),'#skF_7')
| ~ organization('#skF_3','#skF_7') ),
inference(superposition,[status(thm),theory(equality)],[c_57,c_8]) ).
tff(c_65,plain,
class('#skF_3','#skF_2'('#skF_3','#skF_6'),'#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_61]) ).
tff(c_2,plain,
! [X_1,T_2] :
( inertia(X_1,'#skF_1'(X_1,T_2),T_2)
| ~ organization(X_1,T_2) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_16,plain,
greater('#skF_4','#skF_5'),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_115,plain,
! [T1_73,I2_68,S2_71,C_76,Y_74,T2_70,I1_72,X_69,S1_75] :
( greater(I2_68,I1_72)
| ~ greater(S2_71,S1_75)
| ~ inertia(Y_74,I2_68,T2_70)
| ~ inertia(X_69,I1_72,T1_73)
| ~ size(Y_74,S2_71,T2_70)
| ~ size(X_69,S1_75,T1_73)
| ~ class(Y_74,C_76,T2_70)
| ~ class(X_69,C_76,T1_73)
| ~ organization(Y_74,T2_70)
| ~ organization(X_69,T1_73) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_125,plain,
! [I1_78,C_81,T1_77,X_83,Y_80,T2_79,I2_82] :
( greater(I2_82,I1_78)
| ~ inertia(Y_80,I2_82,T2_79)
| ~ inertia(X_83,I1_78,T1_77)
| ~ size(Y_80,'#skF_4',T2_79)
| ~ size(X_83,'#skF_5',T1_77)
| ~ class(Y_80,C_81,T2_79)
| ~ class(X_83,C_81,T1_77)
| ~ organization(Y_80,T2_79)
| ~ organization(X_83,T1_77) ),
inference(resolution,[status(thm)],[c_16,c_115]) ).
tff(c_129,plain,
! [T_84,I1_88,X_86,C_87,T1_85,X_89] :
( greater('#skF_1'(X_86,T_84),I1_88)
| ~ inertia(X_89,I1_88,T1_85)
| ~ size(X_86,'#skF_4',T_84)
| ~ size(X_89,'#skF_5',T1_85)
| ~ class(X_86,C_87,T_84)
| ~ class(X_89,C_87,T1_85)
| ~ organization(X_89,T1_85)
| ~ organization(X_86,T_84) ),
inference(resolution,[status(thm)],[c_2,c_125]) ).
tff(c_133,plain,
! [X_93,X_92,C_94,T_91,T_90] :
( greater('#skF_1'(X_93,T_91),'#skF_1'(X_92,T_90))
| ~ size(X_93,'#skF_4',T_91)
| ~ size(X_92,'#skF_5',T_90)
| ~ class(X_93,C_94,T_91)
| ~ class(X_92,C_94,T_90)
| ~ organization(X_93,T_91)
| ~ organization(X_92,T_90) ),
inference(resolution,[status(thm)],[c_2,c_129]) ).
tff(c_147,plain,
! [X_102,T_103,X_104,T_105] :
( greater('#skF_1'(X_102,T_103),'#skF_1'(X_104,T_105))
| ~ size(X_102,'#skF_4',T_103)
| ~ size(X_104,'#skF_5',T_105)
| ~ class(X_104,'#skF_2'(X_102,T_103),T_105)
| ~ organization(X_104,T_105)
| ~ organization(X_102,T_103) ),
inference(resolution,[status(thm)],[c_8,c_133]) ).
tff(c_47,plain,
! [T2_50,X_46,I2_49,T1_48,I1_47] :
( greater(I2_49,I1_47)
| ~ greater(T2_50,T1_48)
| ~ inertia(X_46,I2_49,T2_50)
| ~ inertia(X_46,I1_47,T1_48)
| ~ reorganization_free(X_46,T1_48,T2_50)
| ~ organization(X_46,T2_50)
| ~ organization(X_46,T1_48) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_97,plain,
! [X_58,T_59,I1_60,T1_61] :
( greater('#skF_1'(X_58,T_59),I1_60)
| ~ greater(T_59,T1_61)
| ~ inertia(X_58,I1_60,T1_61)
| ~ reorganization_free(X_58,T1_61,T_59)
| ~ organization(X_58,T1_61)
| ~ organization(X_58,T_59) ),
inference(resolution,[status(thm)],[c_2,c_47]) ).
tff(c_101,plain,
! [X_62,T_63,T_64] :
( greater('#skF_1'(X_62,T_63),'#skF_1'(X_62,T_64))
| ~ greater(T_63,T_64)
| ~ reorganization_free(X_62,T_64,T_63)
| ~ organization(X_62,T_63)
| ~ organization(X_62,T_64) ),
inference(resolution,[status(thm)],[c_2,c_97]) ).
tff(c_6,plain,
! [Y_7,X_6] :
( ~ greater(Y_7,X_6)
| ~ greater(X_6,Y_7) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_108,plain,
! [X_62,T_64,T_63] :
( ~ greater('#skF_1'(X_62,T_64),'#skF_1'(X_62,T_63))
| ~ greater(T_63,T_64)
| ~ reorganization_free(X_62,T_64,T_63)
| ~ organization(X_62,T_63)
| ~ organization(X_62,T_64) ),
inference(resolution,[status(thm)],[c_101,c_6]) ).
tff(c_194,plain,
! [T_120,T_121,X_122] :
( ~ greater(T_120,T_121)
| ~ reorganization_free(X_122,T_121,T_120)
| ~ size(X_122,'#skF_4',T_121)
| ~ size(X_122,'#skF_5',T_120)
| ~ class(X_122,'#skF_2'(X_122,T_121),T_120)
| ~ organization(X_122,T_120)
| ~ organization(X_122,T_121) ),
inference(resolution,[status(thm)],[c_147,c_108]) ).
tff(c_197,plain,
( ~ greater('#skF_7','#skF_6')
| ~ reorganization_free('#skF_3','#skF_6','#skF_7')
| ~ size('#skF_3','#skF_4','#skF_6')
| ~ size('#skF_3','#skF_5','#skF_7')
| ~ organization('#skF_3','#skF_7')
| ~ organization('#skF_3','#skF_6') ),
inference(resolution,[status(thm)],[c_65,c_194]) ).
tff(c_207,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_26,c_20,c_22,c_24,c_18,c_197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : MGT011+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 20:33:01 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.78/1.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.78/1.98
% 3.78/1.98 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.86/2.02
% 3.86/2.02 Inference rules
% 3.86/2.02 ----------------------
% 3.86/2.02 #Ref : 0
% 3.86/2.02 #Sup : 39
% 3.86/2.02 #Fact : 0
% 3.86/2.02 #Define : 0
% 3.86/2.02 #Split : 1
% 3.86/2.02 #Chain : 0
% 3.86/2.02 #Close : 0
% 3.86/2.02
% 3.86/2.02 Ordering : KBO
% 3.86/2.02
% 3.86/2.02 Simplification rules
% 3.86/2.02 ----------------------
% 3.86/2.02 #Subsume : 6
% 3.86/2.02 #Demod : 18
% 3.86/2.02 #Tautology : 4
% 3.86/2.02 #SimpNegUnit : 0
% 3.86/2.02 #BackRed : 0
% 3.86/2.02
% 3.86/2.02 #Partial instantiations: 0
% 3.86/2.02 #Strategies tried : 1
% 3.86/2.02
% 3.86/2.02 Timing (in seconds)
% 3.86/2.02 ----------------------
% 3.86/2.02 Preprocessing : 0.51
% 3.86/2.02 Parsing : 0.28
% 3.86/2.02 CNF conversion : 0.03
% 3.86/2.02 Main loop : 0.35
% 3.86/2.02 Inferencing : 0.15
% 3.86/2.02 Reduction : 0.08
% 3.86/2.02 Demodulation : 0.06
% 3.86/2.02 BG Simplification : 0.02
% 3.86/2.02 Subsumption : 0.09
% 3.86/2.02 Abstraction : 0.01
% 3.86/2.02 MUC search : 0.00
% 3.86/2.02 Cooper : 0.00
% 3.86/2.02 Total : 0.92
% 3.86/2.02 Index Insertion : 0.00
% 3.86/2.02 Index Deletion : 0.00
% 3.86/2.02 Index Matching : 0.00
% 3.86/2.02 BG Taut test : 0.00
%------------------------------------------------------------------------------