%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT053+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/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 : n018.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 06:03:01 AM UTC 2026
% Result : Theorem 5.29s 2.76s
% Output : CNFRefutation 5.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 83 ( 44 unt; 0 typ; 0 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 147 ( 74 ~; 69 |; 1 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 57 ( 57 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ dissimilar > smaller_or_equal > smaller > is_aligned > greater_or_equal > greater > organization > #nlpp > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(dissimilar,type,
dissimilar: ( $i * $i * $i ) > $o ).
tff(organization,type,
organization: $i > $o ).
tff(is_aligned,type,
is_aligned: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(smaller,type,
smaller: ( $i * $i ) > $o ).
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(greater_or_equal,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(smaller_or_equal,type,
smaller_or_equal: ( $i * $i ) > $o ).
tff(f_143,negated_conjecture,
~ ! [X,T1,T2] :
( dissimilar(X,T1,T2)
<=> dissimilar(X,T2,T1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_7) ).
tff(f_132,axiom,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( organization(X)
& ~ ( is_aligned(X,T0)
<=> is_aligned(X,T) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
tff(c_44,plain,
( dissimilar('#skF_1','#skF_3','#skF_2')
| dissimilar('#skF_4','#skF_5','#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_80,plain,
dissimilar('#skF_4','#skF_5','#skF_6'),
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_120,plain,
! [X_43,T_44,T0_45] :
( ~ is_aligned(X_43,T_44)
| ~ is_aligned(X_43,T0_45)
| ~ dissimilar(X_43,T0_45,T_44) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_124,plain,
( ~ is_aligned('#skF_4','#skF_6')
| ~ is_aligned('#skF_4','#skF_5') ),
inference(resolution,[status(thm)],[c_80,c_120]) ).
tff(c_125,plain,
~ is_aligned('#skF_4','#skF_5'),
inference(splitLeft,[status(thm)],[c_124]) ).
tff(c_24,plain,
! [X_14,T0_15,T_16] :
( organization(X_14)
| ~ dissimilar(X_14,T0_15,T_16) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_84,plain,
organization('#skF_4'),
inference(resolution,[status(thm)],[c_80,c_24]) ).
tff(c_126,plain,
! [X_46,T0_47,T_48] :
( is_aligned(X_46,T0_47)
| is_aligned(X_46,T_48)
| ~ dissimilar(X_46,T0_47,T_48) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_129,plain,
( is_aligned('#skF_4','#skF_5')
| is_aligned('#skF_4','#skF_6') ),
inference(resolution,[status(thm)],[c_80,c_126]) ).
tff(c_132,plain,
is_aligned('#skF_4','#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_125,c_129]) ).
tff(c_164,plain,
! [X_55,T_56,T0_57] :
( is_aligned(X_55,T_56)
| ~ is_aligned(X_55,T0_57)
| dissimilar(X_55,T0_57,T_56)
| ~ organization(X_55) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_38,plain,
( ~ dissimilar('#skF_1','#skF_2','#skF_3')
| ~ dissimilar('#skF_4','#skF_6','#skF_5') ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_57,plain,
~ dissimilar('#skF_4','#skF_6','#skF_5'),
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_176,plain,
( is_aligned('#skF_4','#skF_5')
| ~ is_aligned('#skF_4','#skF_6')
| ~ organization('#skF_4') ),
inference(resolution,[status(thm)],[c_164,c_57]) ).
tff(c_185,plain,
is_aligned('#skF_4','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_84,c_132,c_176]) ).
tff(c_187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125,c_185]) ).
tff(c_188,plain,
~ is_aligned('#skF_4','#skF_6'),
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_189,plain,
is_aligned('#skF_4','#skF_5'),
inference(splitRight,[status(thm)],[c_124]) ).
tff(c_204,plain,
! [X_64,T0_65,T_66] :
( is_aligned(X_64,T0_65)
| ~ is_aligned(X_64,T_66)
| dissimilar(X_64,T0_65,T_66)
| ~ organization(X_64) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_216,plain,
( is_aligned('#skF_4','#skF_6')
| ~ is_aligned('#skF_4','#skF_5')
| ~ organization('#skF_4') ),
inference(resolution,[status(thm)],[c_204,c_57]) ).
tff(c_225,plain,
is_aligned('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_84,c_189,c_216]) ).
tff(c_227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188,c_225]) ).
tff(c_228,plain,
dissimilar('#skF_1','#skF_3','#skF_2'),
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_269,plain,
! [X_74,T_75,T0_76] :
( ~ is_aligned(X_74,T_75)
| ~ is_aligned(X_74,T0_76)
| ~ dissimilar(X_74,T0_76,T_75) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_273,plain,
( ~ is_aligned('#skF_1','#skF_2')
| ~ is_aligned('#skF_1','#skF_3') ),
inference(resolution,[status(thm)],[c_228,c_269]) ).
tff(c_274,plain,
~ is_aligned('#skF_1','#skF_3'),
inference(splitLeft,[status(thm)],[c_273]) ).
tff(c_233,plain,
organization('#skF_1'),
inference(resolution,[status(thm)],[c_228,c_24]) ).
tff(c_275,plain,
! [X_77,T0_78,T_79] :
( is_aligned(X_77,T0_78)
| is_aligned(X_77,T_79)
| ~ dissimilar(X_77,T0_78,T_79) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_278,plain,
( is_aligned('#skF_1','#skF_3')
| is_aligned('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_228,c_275]) ).
tff(c_281,plain,
is_aligned('#skF_1','#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_274,c_278]) ).
tff(c_289,plain,
! [X_83,T_84,T0_85] :
( is_aligned(X_83,T_84)
| ~ is_aligned(X_83,T0_85)
| dissimilar(X_83,T0_85,T_84)
| ~ organization(X_83) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_42,plain,
( ~ dissimilar('#skF_1','#skF_2','#skF_3')
| dissimilar('#skF_4','#skF_5','#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_69,plain,
~ dissimilar('#skF_1','#skF_2','#skF_3'),
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_301,plain,
( is_aligned('#skF_1','#skF_3')
| ~ is_aligned('#skF_1','#skF_2')
| ~ organization('#skF_1') ),
inference(resolution,[status(thm)],[c_289,c_69]) ).
tff(c_313,plain,
is_aligned('#skF_1','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_233,c_281,c_301]) ).
tff(c_315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_274,c_313]) ).
tff(c_316,plain,
~ is_aligned('#skF_1','#skF_2'),
inference(splitRight,[status(thm)],[c_273]) ).
tff(c_317,plain,
is_aligned('#skF_1','#skF_3'),
inference(splitRight,[status(thm)],[c_273]) ).
tff(c_360,plain,
! [X_95,T0_96,T_97] :
( is_aligned(X_95,T0_96)
| ~ is_aligned(X_95,T_97)
| dissimilar(X_95,T0_96,T_97)
| ~ organization(X_95) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_372,plain,
( is_aligned('#skF_1','#skF_2')
| ~ is_aligned('#skF_1','#skF_3')
| ~ organization('#skF_1') ),
inference(resolution,[status(thm)],[c_360,c_69]) ).
tff(c_384,plain,
is_aligned('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_233,c_317,c_372]) ).
tff(c_386,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_316,c_384]) ).
tff(c_387,plain,
dissimilar('#skF_4','#skF_5','#skF_6'),
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_453,plain,
! [X_110,T0_111,T_112] :
( is_aligned(X_110,T0_111)
| is_aligned(X_110,T_112)
| ~ dissimilar(X_110,T0_111,T_112) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_463,plain,
( is_aligned('#skF_4','#skF_5')
| is_aligned('#skF_4','#skF_6') ),
inference(resolution,[status(thm)],[c_387,c_453]) ).
tff(c_464,plain,
is_aligned('#skF_4','#skF_6'),
inference(splitLeft,[status(thm)],[c_463]) ).
tff(c_443,plain,
! [X_107,T_108,T0_109] :
( ~ is_aligned(X_107,T_108)
| ~ is_aligned(X_107,T0_109)
| ~ dissimilar(X_107,T0_109,T_108) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_451,plain,
( ~ is_aligned('#skF_4','#skF_6')
| ~ is_aligned('#skF_4','#skF_5') ),
inference(resolution,[status(thm)],[c_387,c_443]) ).
tff(c_466,plain,
~ is_aligned('#skF_4','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_464,c_451]) ).
tff(c_392,plain,
organization('#skF_4'),
inference(resolution,[status(thm)],[c_387,c_24]) ).
tff(c_493,plain,
! [X_119,T_120,T0_121] :
( is_aligned(X_119,T_120)
| ~ is_aligned(X_119,T0_121)
| dissimilar(X_119,T0_121,T_120)
| ~ organization(X_119) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_502,plain,
( is_aligned('#skF_4','#skF_5')
| ~ is_aligned('#skF_4','#skF_6')
| ~ organization('#skF_4') ),
inference(resolution,[status(thm)],[c_493,c_57]) ).
tff(c_510,plain,
is_aligned('#skF_4','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_464,c_502]) ).
tff(c_512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_466,c_510]) ).
tff(c_514,plain,
~ is_aligned('#skF_4','#skF_6'),
inference(splitRight,[status(thm)],[c_463]) ).
tff(c_513,plain,
is_aligned('#skF_4','#skF_5'),
inference(splitRight,[status(thm)],[c_463]) ).
tff(c_543,plain,
! [X_128,T0_129,T_130] :
( is_aligned(X_128,T0_129)
| ~ is_aligned(X_128,T_130)
| dissimilar(X_128,T0_129,T_130)
| ~ organization(X_128) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_552,plain,
( is_aligned('#skF_4','#skF_6')
| ~ is_aligned('#skF_4','#skF_5')
| ~ organization('#skF_4') ),
inference(resolution,[status(thm)],[c_543,c_57]) ).
tff(c_560,plain,
is_aligned('#skF_4','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_513,c_552]) ).
tff(c_562,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_514,c_560]) ).
tff(c_564,plain,
dissimilar('#skF_4','#skF_6','#skF_5'),
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_40,plain,
( dissimilar('#skF_1','#skF_3','#skF_2')
| ~ dissimilar('#skF_4','#skF_6','#skF_5') ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_590,plain,
dissimilar('#skF_1','#skF_3','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_564,c_40]) ).
tff(c_631,plain,
! [X_142,T_143,T0_144] :
( ~ is_aligned(X_142,T_143)
| ~ is_aligned(X_142,T0_144)
| ~ dissimilar(X_142,T0_144,T_143) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_638,plain,
( ~ is_aligned('#skF_1','#skF_2')
| ~ is_aligned('#skF_1','#skF_3') ),
inference(resolution,[status(thm)],[c_590,c_631]) ).
tff(c_640,plain,
~ is_aligned('#skF_1','#skF_3'),
inference(splitLeft,[status(thm)],[c_638]) ).
tff(c_594,plain,
organization('#skF_1'),
inference(resolution,[status(thm)],[c_590,c_24]) ).
tff(c_641,plain,
! [X_145,T0_146,T_147] :
( is_aligned(X_145,T0_146)
| is_aligned(X_145,T_147)
| ~ dissimilar(X_145,T0_146,T_147) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_644,plain,
( is_aligned('#skF_1','#skF_3')
| is_aligned('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_590,c_641]) ).
tff(c_650,plain,
is_aligned('#skF_1','#skF_2'),
inference(negUnitSimplification,[status(thm)],[c_640,c_644]) ).
tff(c_662,plain,
! [X_151,T_152,T0_153] :
( is_aligned(X_151,T_152)
| ~ is_aligned(X_151,T0_153)
| dissimilar(X_151,T0_153,T_152)
| ~ organization(X_151) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_563,plain,
~ dissimilar('#skF_1','#skF_2','#skF_3'),
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_671,plain,
( is_aligned('#skF_1','#skF_3')
| ~ is_aligned('#skF_1','#skF_2')
| ~ organization('#skF_1') ),
inference(resolution,[status(thm)],[c_662,c_563]) ).
tff(c_679,plain,
is_aligned('#skF_1','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_594,c_650,c_671]) ).
tff(c_681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_640,c_679]) ).
tff(c_682,plain,
~ is_aligned('#skF_1','#skF_2'),
inference(splitRight,[status(thm)],[c_638]) ).
tff(c_683,plain,
is_aligned('#skF_1','#skF_3'),
inference(splitRight,[status(thm)],[c_638]) ).
tff(c_697,plain,
! [X_157,T0_158,T_159] :
( is_aligned(X_157,T0_158)
| ~ is_aligned(X_157,T_159)
| dissimilar(X_157,T0_158,T_159)
| ~ organization(X_157) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_706,plain,
( is_aligned('#skF_1','#skF_2')
| ~ is_aligned('#skF_1','#skF_3')
| ~ organization('#skF_1') ),
inference(resolution,[status(thm)],[c_697,c_563]) ).
tff(c_714,plain,
is_aligned('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_594,c_683,c_706]) ).
tff(c_716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_682,c_714]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT053+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % 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
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 7 13:25:07 UTC 2026
% 0.08/0.36 % CPUTime :
% 5.29/2.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.29/2.78
% 5.29/2.78 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------