TSTP Solution File: SYN074+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN074+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 : n006.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 11:09:31 EDT 2023
% Result : Theorem 9.04s 3.27s
% Output : CNFRefutation 9.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 71 ( 17 unt; 8 typ; 0 def)
% Number of atoms : 167 ( 117 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 182 ( 78 ~; 100 |; 1 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 6 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 75 (; 71 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_f > #nlpp > #skF_7 > #skF_2 > #skF_1 > #skF_3 > #skF_5 > #skF_6 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(big_f,type,
big_f: ( $i * $i ) > $o ).
tff(f_33,axiom,
? [Z,W] :
! [X,Y] :
( big_f(X,Y)
<=> ( ( X = Z )
& ( Y = W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel51_1) ).
tff(f_43,negated_conjecture,
~ ? [Z] :
! [X] :
( ? [W] :
! [Y] :
( big_f(X,Y)
<=> ( Y = W ) )
<=> ( X = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel51) ).
tff(c_2,plain,
big_f('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_218,plain,
! [Z_60,W_61] :
( ( '#skF_4'(Z_60,W_61) = W_61 )
| big_f('#skF_3'(Z_60),'#skF_5'(Z_60,W_61))
| big_f('#skF_6'(Z_60),'#skF_7'(Z_60)) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_4,plain,
! [Y_4,X_3] :
( ( Y_4 = '#skF_2' )
| ~ big_f(X_3,Y_4) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_644,plain,
! [Z_79,W_80] :
( ( '#skF_5'(Z_79,W_80) = '#skF_2' )
| ( '#skF_4'(Z_79,W_80) = W_80 )
| big_f('#skF_6'(Z_79),'#skF_7'(Z_79)) ),
inference(resolution,[status(thm)],[c_218,c_4]) ).
tff(c_702,plain,
! [Z_81,W_82] :
( ( '#skF_7'(Z_81) = '#skF_2' )
| ( '#skF_5'(Z_81,W_82) = '#skF_2' )
| ( '#skF_4'(Z_81,W_82) = W_82 ) ),
inference(resolution,[status(thm)],[c_644,c_4]) ).
tff(c_32,plain,
! [Z_5,W_22] :
( ( '#skF_4'(Z_5,W_22) = W_22 )
| ( '#skF_5'(Z_5,W_22) != W_22 )
| big_f('#skF_6'(Z_5),'#skF_7'(Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_6261,plain,
! [Z_214,W_215] :
( ( '#skF_4'(Z_214,W_215) = W_215 )
| ( W_215 != '#skF_2' )
| big_f('#skF_6'(Z_214),'#skF_7'(Z_214))
| ( '#skF_7'(Z_214) = '#skF_2' )
| ( '#skF_4'(Z_214,W_215) = W_215 ) ),
inference(superposition,[status(thm),theory(equality)],[c_702,c_32]) ).
tff(c_6490,plain,
! [W_216,Z_217] :
( ( W_216 != '#skF_2' )
| ( '#skF_7'(Z_217) = '#skF_2' )
| ( '#skF_4'(Z_217,W_216) = W_216 ) ),
inference(resolution,[status(thm)],[c_6261,c_4]) ).
tff(c_8,plain,
! [Z_5] :
( ( '#skF_3'(Z_5) = Z_5 )
| ( '#skF_6'(Z_5) != Z_5 ) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_509,plain,
! [Z_70,W_71] :
( ~ big_f('#skF_3'(Z_70),'#skF_4'(Z_70,W_71))
| big_f('#skF_3'(Z_70),'#skF_5'(Z_70,W_71))
| ( '#skF_6'(Z_70) != Z_70 ) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_615,plain,
! [Z_77,W_78] :
( ( '#skF_5'(Z_77,W_78) = '#skF_2' )
| ~ big_f('#skF_3'(Z_77),'#skF_4'(Z_77,W_78))
| ( '#skF_6'(Z_77) != Z_77 ) ),
inference(resolution,[status(thm)],[c_509,c_4]) ).
tff(c_642,plain,
! [Z_5,W_78] :
( ( '#skF_5'(Z_5,W_78) = '#skF_2' )
| ~ big_f(Z_5,'#skF_4'(Z_5,W_78))
| ( '#skF_6'(Z_5) != Z_5 )
| ( '#skF_6'(Z_5) != Z_5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_615]) ).
tff(c_9414,plain,
! [Z_250,W_251] :
( ( '#skF_5'(Z_250,W_251) = '#skF_2' )
| ~ big_f(Z_250,W_251)
| ( '#skF_6'(Z_250) != Z_250 )
| ( '#skF_6'(Z_250) != Z_250 )
| ( W_251 != '#skF_2' )
| ( '#skF_7'(Z_250) = '#skF_2' ) ),
inference(superposition,[status(thm),theory(equality)],[c_6490,c_642]) ).
tff(c_9526,plain,
( ( '#skF_5'('#skF_1','#skF_2') = '#skF_2' )
| ( '#skF_6'('#skF_1') != '#skF_1' )
| ( '#skF_7'('#skF_1') = '#skF_2' ) ),
inference(resolution,[status(thm)],[c_2,c_9414]) ).
tff(c_9527,plain,
'#skF_6'('#skF_1') != '#skF_1',
inference(splitLeft,[status(thm)],[c_9526]) ).
tff(c_6,plain,
! [X_3,Y_4] :
( ( X_3 = '#skF_1' )
| ~ big_f(X_3,Y_4) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_777,plain,
! [Z_83,W_84] :
( ( '#skF_6'(Z_83) = '#skF_1' )
| ( '#skF_5'(Z_83,W_84) = '#skF_2' )
| ( '#skF_4'(Z_83,W_84) = W_84 ) ),
inference(resolution,[status(thm)],[c_644,c_6]) ).
tff(c_4402,plain,
! [Z_185,W_186] :
( ( '#skF_4'(Z_185,W_186) = W_186 )
| ( W_186 != '#skF_2' )
| big_f('#skF_6'(Z_185),'#skF_7'(Z_185))
| ( '#skF_6'(Z_185) = '#skF_1' )
| ( '#skF_4'(Z_185,W_186) = W_186 ) ),
inference(superposition,[status(thm),theory(equality)],[c_777,c_32]) ).
tff(c_4590,plain,
! [W_186,Z_185] :
( ( W_186 != '#skF_2' )
| ( '#skF_6'(Z_185) = '#skF_1' )
| ( '#skF_4'(Z_185,W_186) = W_186 ) ),
inference(resolution,[status(thm)],[c_4402,c_6]) ).
tff(c_9538,plain,
! [W_252] :
( ( W_252 != '#skF_2' )
| ( '#skF_4'('#skF_1',W_252) = W_252 ) ),
inference(superposition,[status(thm),theory(equality)],[c_4590,c_9527]) ).
tff(c_58,plain,
! [Z_34] :
( ( '#skF_3'(Z_34) = Z_34 )
| big_f('#skF_6'(Z_34),'#skF_7'(Z_34)) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_66,plain,
! [Z_34] :
( ( '#skF_6'(Z_34) = '#skF_1' )
| ( '#skF_3'(Z_34) = Z_34 ) ),
inference(resolution,[status(thm)],[c_58,c_6]) ).
tff(c_1015,plain,
! [Z_94,W_95] :
( ~ big_f('#skF_3'(Z_94),'#skF_4'(Z_94,W_95))
| big_f('#skF_3'(Z_94),'#skF_5'(Z_94,W_95))
| big_f('#skF_6'(Z_94),'#skF_7'(Z_94)) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_1078,plain,
! [Z_98,W_99] :
( ( '#skF_5'(Z_98,W_99) = '#skF_2' )
| ~ big_f('#skF_3'(Z_98),'#skF_4'(Z_98,W_99))
| big_f('#skF_6'(Z_98),'#skF_7'(Z_98)) ),
inference(resolution,[status(thm)],[c_1015,c_4]) ).
tff(c_1108,plain,
! [Z_34,W_99] :
( ( '#skF_5'(Z_34,W_99) = '#skF_2' )
| ~ big_f(Z_34,'#skF_4'(Z_34,W_99))
| big_f('#skF_6'(Z_34),'#skF_7'(Z_34))
| ( '#skF_6'(Z_34) = '#skF_1' ) ),
inference(superposition,[status(thm),theory(equality)],[c_66,c_1078]) ).
tff(c_9591,plain,
! [W_252] :
( ( '#skF_5'('#skF_1',W_252) = '#skF_2' )
| ~ big_f('#skF_1',W_252)
| big_f('#skF_6'('#skF_1'),'#skF_7'('#skF_1'))
| ( '#skF_6'('#skF_1') = '#skF_1' )
| ( W_252 != '#skF_2' ) ),
inference(superposition,[status(thm),theory(equality)],[c_9538,c_1108]) ).
tff(c_9762,plain,
! [W_252] :
( ( '#skF_5'('#skF_1',W_252) = '#skF_2' )
| ~ big_f('#skF_1',W_252)
| big_f('#skF_6'('#skF_1'),'#skF_7'('#skF_1'))
| ( W_252 != '#skF_2' ) ),
inference(negUnitSimplification,[status(thm)],[c_9527,c_9591]) ).
tff(c_10042,plain,
big_f('#skF_6'('#skF_1'),'#skF_7'('#skF_1')),
inference(splitLeft,[status(thm)],[c_9762]) ).
tff(c_10058,plain,
'#skF_6'('#skF_1') = '#skF_1',
inference(resolution,[status(thm)],[c_10042,c_6]) ).
tff(c_10097,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9527,c_10058]) ).
tff(c_10409,plain,
! [W_257] :
( ( '#skF_5'('#skF_1',W_257) = '#skF_2' )
| ~ big_f('#skF_1',W_257)
| ( W_257 != '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_9762]) ).
tff(c_10479,plain,
'#skF_5'('#skF_1','#skF_2') = '#skF_2',
inference(resolution,[status(thm)],[c_2,c_10409]) ).
tff(c_10099,plain,
~ big_f('#skF_6'('#skF_1'),'#skF_7'('#skF_1')),
inference(splitRight,[status(thm)],[c_9762]) ).
tff(c_28,plain,
! [Z_5] :
( ( '#skF_3'(Z_5) = Z_5 )
| big_f('#skF_6'(Z_5),'#skF_7'(Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_10150,plain,
'#skF_3'('#skF_1') = '#skF_1',
inference(resolution,[status(thm)],[c_28,c_10099]) ).
tff(c_30,plain,
! [Z_5,W_22] :
( ~ big_f('#skF_3'(Z_5),'#skF_4'(Z_5,W_22))
| ( '#skF_5'(Z_5,W_22) != W_22 )
| big_f('#skF_6'(Z_5),'#skF_7'(Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_9650,plain,
! [W_252] :
( ~ big_f('#skF_3'('#skF_1'),W_252)
| ( '#skF_5'('#skF_1',W_252) != W_252 )
| big_f('#skF_6'('#skF_1'),'#skF_7'('#skF_1'))
| ( W_252 != '#skF_2' ) ),
inference(superposition,[status(thm),theory(equality)],[c_9538,c_30]) ).
tff(c_10911,plain,
! [W_252] :
( ~ big_f('#skF_1',W_252)
| ( '#skF_5'('#skF_1',W_252) != W_252 )
| big_f('#skF_6'('#skF_1'),'#skF_7'('#skF_1'))
| ( W_252 != '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10150,c_9650]) ).
tff(c_10914,plain,
! [W_262] :
( ~ big_f('#skF_1',W_262)
| ( '#skF_5'('#skF_1',W_262) != W_262 )
| ( W_262 != '#skF_2' ) ),
inference(negUnitSimplification,[status(thm)],[c_10099,c_10911]) ).
tff(c_10967,plain,
'#skF_5'('#skF_1','#skF_2') != '#skF_2',
inference(resolution,[status(thm)],[c_2,c_10914]) ).
tff(c_10994,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10479,c_10967]) ).
tff(c_10995,plain,
( ( '#skF_7'('#skF_1') = '#skF_2' )
| ( '#skF_5'('#skF_1','#skF_2') = '#skF_2' ) ),
inference(splitRight,[status(thm)],[c_9526]) ).
tff(c_11427,plain,
'#skF_5'('#skF_1','#skF_2') = '#skF_2',
inference(splitLeft,[status(thm)],[c_10995]) ).
tff(c_10996,plain,
'#skF_6'('#skF_1') = '#skF_1',
inference(splitRight,[status(thm)],[c_9526]) ).
tff(c_120,plain,
! [Z_44,W_45] :
( ( '#skF_4'(Z_44,W_45) = W_45 )
| big_f('#skF_3'(Z_44),'#skF_5'(Z_44,W_45))
| ( '#skF_6'(Z_44) != Z_44 ) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_172,plain,
! [Z_48,W_49] :
( ( '#skF_5'(Z_48,W_49) = '#skF_2' )
| ( '#skF_4'(Z_48,W_49) = W_49 )
| ( '#skF_6'(Z_48) != Z_48 ) ),
inference(resolution,[status(thm)],[c_120,c_4]) ).
tff(c_12,plain,
! [Z_5,W_22] :
( ( '#skF_4'(Z_5,W_22) = W_22 )
| ( '#skF_5'(Z_5,W_22) != W_22 )
| ( '#skF_6'(Z_5) != Z_5 ) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_183,plain,
! [Z_48,W_49] :
( ( '#skF_4'(Z_48,W_49) = W_49 )
| ( W_49 != '#skF_2' )
| ( '#skF_6'(Z_48) != Z_48 )
| ( '#skF_4'(Z_48,W_49) = W_49 )
| ( '#skF_6'(Z_48) != Z_48 ) ),
inference(superposition,[status(thm),theory(equality)],[c_172,c_12]) ).
tff(c_11022,plain,
! [W_49] :
( ( W_49 != '#skF_2' )
| ( '#skF_4'('#skF_1',W_49) = W_49 )
| ( '#skF_6'('#skF_1') != '#skF_1' ) ),
inference(superposition,[status(thm),theory(equality)],[c_10996,c_183]) ).
tff(c_11090,plain,
! [W_263] :
( ( W_263 != '#skF_2' )
| ( '#skF_4'('#skF_1',W_263) = W_263 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10996,c_11022]) ).
tff(c_190,plain,
! [Z_52,W_53] :
( ~ big_f('#skF_3'(Z_52),'#skF_4'(Z_52,W_53))
| ( '#skF_5'(Z_52,W_53) != W_53 )
| ( '#skF_6'(Z_52) != Z_52 ) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_202,plain,
! [Z_5,W_53] :
( ~ big_f(Z_5,'#skF_4'(Z_5,W_53))
| ( '#skF_5'(Z_5,W_53) != W_53 )
| ( '#skF_6'(Z_5) != Z_5 )
| ( '#skF_6'(Z_5) != Z_5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_190]) ).
tff(c_11181,plain,
! [W_263] :
( ~ big_f('#skF_1',W_263)
| ( '#skF_5'('#skF_1',W_263) != W_263 )
| ( '#skF_6'('#skF_1') != '#skF_1' )
| ( '#skF_6'('#skF_1') != '#skF_1' )
| ( W_263 != '#skF_2' ) ),
inference(superposition,[status(thm),theory(equality)],[c_11090,c_202]) ).
tff(c_11973,plain,
! [W_267] :
( ~ big_f('#skF_1',W_267)
| ( '#skF_5'('#skF_1',W_267) != W_267 )
| ( W_267 != '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10996,c_10996,c_11181]) ).
tff(c_12023,plain,
'#skF_5'('#skF_1','#skF_2') != '#skF_2',
inference(resolution,[status(thm)],[c_2,c_11973]) ).
tff(c_12055,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11427,c_12023]) ).
tff(c_12057,plain,
'#skF_5'('#skF_1','#skF_2') != '#skF_2',
inference(splitRight,[status(thm)],[c_10995]) ).
tff(c_11170,plain,
! [W_263] :
( ( '#skF_5'('#skF_1',W_263) = '#skF_2' )
| ~ big_f('#skF_1',W_263)
| ( '#skF_6'('#skF_1') != '#skF_1' )
| ( '#skF_6'('#skF_1') != '#skF_1' )
| ( W_263 != '#skF_2' ) ),
inference(superposition,[status(thm),theory(equality)],[c_11090,c_642]) ).
tff(c_12456,plain,
! [W_271] :
( ( '#skF_5'('#skF_1',W_271) = '#skF_2' )
| ~ big_f('#skF_1',W_271)
| ( W_271 != '#skF_2' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10996,c_10996,c_11170]) ).
tff(c_12506,plain,
'#skF_5'('#skF_1','#skF_2') = '#skF_2',
inference(resolution,[status(thm)],[c_2,c_12456]) ).
tff(c_12539,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12057,c_12506]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN074+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % 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
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 17:12:13 EDT 2023
% 0.15/0.36 % CPUTime :
% 9.04/3.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.04/3.27
% 9.04/3.27 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.25/3.31
% 9.25/3.31 Inference rules
% 9.25/3.31 ----------------------
% 9.25/3.31 #Ref : 0
% 9.25/3.31 #Sup : 3352
% 9.25/3.31 #Fact : 22
% 9.25/3.31 #Define : 0
% 9.25/3.31 #Split : 4
% 9.25/3.31 #Chain : 0
% 9.25/3.31 #Close : 0
% 9.25/3.31
% 9.25/3.31 Ordering : KBO
% 9.25/3.31
% 9.25/3.31 Simplification rules
% 9.25/3.31 ----------------------
% 9.25/3.31 #Subsume : 1637
% 9.25/3.31 #Demod : 467
% 9.25/3.31 #Tautology : 945
% 9.25/3.31 #SimpNegUnit : 78
% 9.25/3.31 #BackRed : 1
% 9.25/3.31
% 9.25/3.31 #Partial instantiations: 0
% 9.25/3.31 #Strategies tried : 1
% 9.25/3.31
% 9.25/3.31 Timing (in seconds)
% 9.25/3.31 ----------------------
% 9.25/3.31 Preprocessing : 0.46
% 9.25/3.31 Parsing : 0.23
% 9.25/3.31 CNF conversion : 0.04
% 9.25/3.31 Main loop : 1.74
% 9.25/3.31 Inferencing : 0.68
% 9.25/3.31 Reduction : 0.32
% 9.25/3.31 Demodulation : 0.23
% 9.25/3.31 BG Simplification : 0.07
% 9.25/3.31 Subsumption : 0.56
% 9.25/3.31 Abstraction : 0.09
% 9.25/3.31 MUC search : 0.00
% 9.25/3.31 Cooper : 0.00
% 9.25/3.31 Total : 2.26
% 9.25/3.31 Index Insertion : 0.00
% 9.25/3.31 Index Deletion : 0.00
% 9.25/3.31 Index Matching : 0.00
% 9.25/3.31 BG Taut test : 0.00
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