%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT013+1 : TPTP v9.3.0. Released v2.0.0.
% 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 : n009.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 : Theorem 3.41s 2.05s
% Output : CNFRefutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 128 ( 12 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 145 ( 62 ~; 53 |; 23 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 1 ( 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; 7 con; 0-0 aty)
% Number of variables : 63 ( 63 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ size > reorganization_free > complexity > organization > greater > time > #nlpp > #skF_7 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%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(time,type,
time: $i > $o ).
tff(complexity,type,
complexity: ( $i * $i * $i ) > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(organization,type,
organization: ( $i * $i ) > $o ).
tff(f_34,axiom,
! [X,Y] :
~ ( greater(X,Y)
& ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_1) ).
tff(f_123,negated_conjecture,
~ ! [X,C1,C2,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& complexity(X,C1,T1)
& complexity(X,C2,T2)
& size(X,S1,T1)
& size(X,S2,T2)
& greater(C2,C1) )
=> ~ greater(S1,S2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL) ).
tff(f_44,axiom,
! [X,T] :
( organization(X,T)
=> time(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp15) ).
tff(f_55,axiom,
! [T1,T2] :
( ( time(T1)
& time(T2) )
=> ( greater(T1,T2)
| ( T1 = T2 )
| greater(T2,T1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp16) ).
tff(f_88,hypothesis,
! [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/sandbox2/benchmark/theBenchmark.p',t11_FOL) ).
tff(f_60,axiom,
! [X,T1,T2] :
( reorganization_free(X,T1,T2)
=> reorganization_free(X,T2,T1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp17) ).
tff(f_103,hypothesis,
! [X,C1,C2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& complexity(X,C1,T1)
& complexity(X,C2,T2)
& greater(T2,T1) )
=> ~ greater(C1,C2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_FOL) ).
tff(f_73,axiom,
! [X,C1,C2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& complexity(X,C1,T1)
& complexity(X,C2,T2)
& ( T1 = T2 ) )
=> ( C1 = C2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp18) ).
tff(c_2,plain,
! [Y_2] : ~ greater(Y_2,Y_2),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_32,plain,
organization('#skF_1','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_34,plain,
organization('#skF_1','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_26,plain,
complexity('#skF_1','#skF_3','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_28,plain,
complexity('#skF_1','#skF_2','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_36,plain,
! [T_28,X_29] :
( time(T_28)
| ~ organization(X_29,T_28) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_44,plain,
time('#skF_6'),
inference(resolution,[status(thm)],[c_34,c_36]) ).
tff(c_43,plain,
time('#skF_7'),
inference(resolution,[status(thm)],[c_32,c_36]) ).
tff(c_8,plain,
! [T2_8,T1_7] :
( greater(T2_8,T1_7)
| ( T2_8 = T1_7 )
| greater(T1_7,T2_8)
| ~ time(T2_8)
| ~ time(T1_7) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_30,plain,
reorganization_free('#skF_1','#skF_6','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_24,plain,
size('#skF_1','#skF_4','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_22,plain,
size('#skF_1','#skF_5','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_18,plain,
greater('#skF_4','#skF_5'),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_134,plain,
! [T1_43,X_47,T2_45,S2_44,S1_46] :
( ~ greater(S1_46,S2_44)
| ~ greater(T2_45,T1_43)
| ~ size(X_47,S2_44,T2_45)
| ~ size(X_47,S1_46,T1_43)
| ~ reorganization_free(X_47,T1_43,T2_45)
| ~ organization(X_47,T2_45)
| ~ organization(X_47,T1_43) ),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_147,plain,
! [T2_48,T1_49,X_50] :
( ~ greater(T2_48,T1_49)
| ~ size(X_50,'#skF_5',T2_48)
| ~ size(X_50,'#skF_4',T1_49)
| ~ reorganization_free(X_50,T1_49,T2_48)
| ~ organization(X_50,T2_48)
| ~ organization(X_50,T1_49) ),
inference(resolution,[status(thm)],[c_18,c_134]) ).
tff(c_149,plain,
! [T1_49] :
( ~ greater('#skF_7',T1_49)
| ~ size('#skF_1','#skF_4',T1_49)
| ~ reorganization_free('#skF_1',T1_49,'#skF_7')
| ~ organization('#skF_1','#skF_7')
| ~ organization('#skF_1',T1_49) ),
inference(resolution,[status(thm)],[c_22,c_147]) ).
tff(c_153,plain,
! [T1_51] :
( ~ greater('#skF_7',T1_51)
| ~ size('#skF_1','#skF_4',T1_51)
| ~ reorganization_free('#skF_1',T1_51,'#skF_7')
| ~ organization('#skF_1',T1_51) ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_149]) ).
tff(c_156,plain,
( ~ greater('#skF_7','#skF_6')
| ~ reorganization_free('#skF_1','#skF_6','#skF_7')
| ~ organization('#skF_1','#skF_6') ),
inference(resolution,[status(thm)],[c_24,c_153]) ).
tff(c_159,plain,
~ greater('#skF_7','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_30,c_156]) ).
tff(c_175,plain,
( ( '#skF_7' = '#skF_6' )
| greater('#skF_6','#skF_7')
| ~ time('#skF_7')
| ~ time('#skF_6') ),
inference(resolution,[status(thm)],[c_8,c_159]) ).
tff(c_181,plain,
( ( '#skF_7' = '#skF_6' )
| greater('#skF_6','#skF_7') ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_43,c_175]) ).
tff(c_185,plain,
greater('#skF_6','#skF_7'),
inference(splitLeft,[status(thm)],[c_181]) ).
tff(c_52,plain,
! [X_32,T2_33,T1_34] :
( reorganization_free(X_32,T2_33,T1_34)
| ~ reorganization_free(X_32,T1_34,T2_33) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_55,plain,
reorganization_free('#skF_1','#skF_7','#skF_6'),
inference(resolution,[status(thm)],[c_30,c_52]) ).
tff(c_20,plain,
greater('#skF_3','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_123]) ).
tff(c_160,plain,
! [T1_55,X_54,C1_52,T2_56,C2_53] :
( ~ greater(C1_52,C2_53)
| ~ greater(T2_56,T1_55)
| ~ complexity(X_54,C2_53,T2_56)
| ~ complexity(X_54,C1_52,T1_55)
| ~ reorganization_free(X_54,T1_55,T2_56)
| ~ organization(X_54,T2_56)
| ~ organization(X_54,T1_55) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_195,plain,
! [T2_57,T1_58,X_59] :
( ~ greater(T2_57,T1_58)
| ~ complexity(X_59,'#skF_2',T2_57)
| ~ complexity(X_59,'#skF_3',T1_58)
| ~ reorganization_free(X_59,T1_58,T2_57)
| ~ organization(X_59,T2_57)
| ~ organization(X_59,T1_58) ),
inference(resolution,[status(thm)],[c_20,c_160]) ).
tff(c_198,plain,
( ~ greater('#skF_6','#skF_7')
| ~ complexity('#skF_1','#skF_2','#skF_6')
| ~ complexity('#skF_1','#skF_3','#skF_7')
| ~ organization('#skF_1','#skF_6')
| ~ organization('#skF_1','#skF_7') ),
inference(resolution,[status(thm)],[c_55,c_195]) ).
tff(c_205,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_34,c_26,c_28,c_185,c_198]) ).
tff(c_206,plain,
'#skF_7' = '#skF_6',
inference(splitRight,[status(thm)],[c_181]) ).
tff(c_214,plain,
complexity('#skF_1','#skF_3','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_206,c_26]) ).
tff(c_111,plain,
! [C2_37,C1_38,X_39,T2_40] :
( ( C2_37 = C1_38 )
| ~ complexity(X_39,C2_37,T2_40)
| ~ complexity(X_39,C1_38,T2_40)
| ~ organization(X_39,T2_40) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_115,plain,
! [C1_38] :
( ( C1_38 = '#skF_2' )
| ~ complexity('#skF_1',C1_38,'#skF_6')
| ~ organization('#skF_1','#skF_6') ),
inference(resolution,[status(thm)],[c_28,c_111]) ).
tff(c_121,plain,
! [C1_38] :
( ( C1_38 = '#skF_2' )
| ~ complexity('#skF_1',C1_38,'#skF_6') ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_115]) ).
tff(c_246,plain,
'#skF_2' = '#skF_3',
inference(resolution,[status(thm)],[c_214,c_121]) ).
tff(c_254,plain,
greater('#skF_3','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_246,c_20]) ).
tff(c_257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT013+1 : TPTP v9.3.0. Released v2.0.0.
% 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
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 7 11:51:22 UTC 2026
% 0.09/0.37 % CPUTime :
% 3.41/2.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.41/2.05
% 3.41/2.05 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------