TSTP Solution File: LCL650+1.001 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL650+1.001 : TPTP v8.1.2. Released v4.0.0.
% 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 : n031.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 10:48:36 EDT 2023
% Result : Theorem 3.50s 2.03s
% Output : CNFRefutation 4.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 72 ( 22 unt; 20 typ; 0 def)
% Number of atoms : 181 ( 0 equ)
% Maximal formula atoms : 43 ( 3 avg)
% Number of connectives : 286 ( 157 ~; 117 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 10 >; 2 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 85 (; 84 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r1 > p8 > p6 > p5 > p4 > p3 > p2 > p1 > #nlpp > #skF_7 > #skF_11 > #skF_10 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_8 > #skF_9 > #skF_4 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(p3,type,
p3: $i > $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(p8,type,
p8: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(p5,type,
p5: $i > $o ).
tff(p4,type,
p4: $i > $o ).
tff(p6,type,
p6: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(r1,type,
r1: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(p2,type,
p2: $i > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(p1,type,
p1: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_179,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p1(X) )
| ( p1(X)
& p3(X) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( p4(X)
& p3(X)
& p2(X)
& p1(X) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
tff(c_24,plain,
r1('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_22,plain,
r1('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_20,plain,
r1('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_18,plain,
r1('#skF_4','#skF_5'),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_51,plain,
! [X_152,Y_153,X_154,Y_155] :
( ~ p2(X_152)
| ~ p3(X_152)
| ~ r1(Y_153,X_152)
| ~ r1(X_154,Y_153)
| ~ r1(Y_155,X_154)
| ~ r1('#skF_1',Y_155) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_78,plain,
! [X_154,Y_155] :
( ~ p2('#skF_5')
| ~ p3('#skF_5')
| ~ r1(X_154,'#skF_4')
| ~ r1(Y_155,X_154)
| ~ r1('#skF_1',Y_155) ),
inference(resolution,[status(thm)],[c_18,c_51]) ).
tff(c_122,plain,
~ p3('#skF_5'),
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_158,plain,
! [X_166,Y_167,X_168,Y_169] :
( p3(X_166)
| p2(X_166)
| ~ r1(Y_167,X_166)
| ~ r1(X_168,Y_167)
| ~ r1(Y_169,X_168)
| ~ r1('#skF_1',Y_169) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_168,plain,
! [X_168,Y_169] :
( p3('#skF_5')
| p2('#skF_5')
| ~ r1(X_168,'#skF_4')
| ~ r1(Y_169,X_168)
| ~ r1('#skF_1',Y_169) ),
inference(resolution,[status(thm)],[c_18,c_158]) ).
tff(c_187,plain,
! [X_168,Y_169] :
( p2('#skF_5')
| ~ r1(X_168,'#skF_4')
| ~ r1(Y_169,X_168)
| ~ r1('#skF_1',Y_169) ),
inference(negUnitSimplification,[status(thm)],[c_122,c_168]) ).
tff(c_196,plain,
! [X_170,Y_171] :
( ~ r1(X_170,'#skF_4')
| ~ r1(Y_171,X_170)
| ~ r1('#skF_1',Y_171) ),
inference(splitLeft,[status(thm)],[c_187]) ).
tff(c_200,plain,
! [Y_172] :
( ~ r1(Y_172,'#skF_3')
| ~ r1('#skF_1',Y_172) ),
inference(resolution,[status(thm)],[c_20,c_196]) ).
tff(c_202,plain,
~ r1('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_22,c_200]) ).
tff(c_206,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_202]) ).
tff(c_207,plain,
p2('#skF_5'),
inference(splitRight,[status(thm)],[c_187]) ).
tff(c_209,plain,
! [X_173,Y_174,X_175,Y_176] :
( ~ p1(X_173)
| ~ p2(X_173)
| ~ r1(Y_174,X_173)
| ~ r1(X_175,Y_174)
| ~ r1(Y_176,X_175)
| ~ r1('#skF_1',Y_176) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_219,plain,
! [X_175,Y_176] :
( ~ p1('#skF_5')
| ~ p2('#skF_5')
| ~ r1(X_175,'#skF_4')
| ~ r1(Y_176,X_175)
| ~ r1('#skF_1',Y_176) ),
inference(resolution,[status(thm)],[c_18,c_209]) ).
tff(c_238,plain,
! [X_175,Y_176] :
( ~ p1('#skF_5')
| ~ r1(X_175,'#skF_4')
| ~ r1(Y_176,X_175)
| ~ r1('#skF_1',Y_176) ),
inference(demodulation,[status(thm),theory(equality)],[c_207,c_219]) ).
tff(c_250,plain,
~ p1('#skF_5'),
inference(splitLeft,[status(thm)],[c_238]) ).
tff(c_251,plain,
! [X_180,Y_181,X_182,Y_183] :
( p1(X_180)
| p3(X_180)
| ~ r1(Y_181,X_180)
| ~ r1(X_182,Y_181)
| ~ r1(Y_183,X_182)
| ~ r1('#skF_1',Y_183) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_261,plain,
! [X_182,Y_183] :
( p1('#skF_5')
| p3('#skF_5')
| ~ r1(X_182,'#skF_4')
| ~ r1(Y_183,X_182)
| ~ r1('#skF_1',Y_183) ),
inference(resolution,[status(thm)],[c_18,c_251]) ).
tff(c_280,plain,
! [X_182,Y_183] :
( p1('#skF_5')
| ~ r1(X_182,'#skF_4')
| ~ r1(Y_183,X_182)
| ~ r1('#skF_1',Y_183) ),
inference(negUnitSimplification,[status(thm)],[c_122,c_261]) ).
tff(c_290,plain,
! [X_184,Y_185] :
( ~ r1(X_184,'#skF_4')
| ~ r1(Y_185,X_184)
| ~ r1('#skF_1',Y_185) ),
inference(negUnitSimplification,[status(thm)],[c_250,c_280]) ).
tff(c_294,plain,
! [Y_186] :
( ~ r1(Y_186,'#skF_3')
| ~ r1('#skF_1',Y_186) ),
inference(resolution,[status(thm)],[c_20,c_290]) ).
tff(c_296,plain,
~ r1('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_22,c_294]) ).
tff(c_300,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_296]) ).
tff(c_303,plain,
! [X_187,Y_188] :
( ~ r1(X_187,'#skF_4')
| ~ r1(Y_188,X_187)
| ~ r1('#skF_1',Y_188) ),
inference(splitRight,[status(thm)],[c_238]) ).
tff(c_345,plain,
! [Y_193] :
( ~ r1(Y_193,'#skF_3')
| ~ r1('#skF_1',Y_193) ),
inference(resolution,[status(thm)],[c_20,c_303]) ).
tff(c_347,plain,
~ r1('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_22,c_345]) ).
tff(c_351,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_347]) ).
tff(c_353,plain,
p3('#skF_5'),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_355,plain,
! [X_194,Y_195,X_196,Y_197] :
( ~ p3(X_194)
| ~ p1(X_194)
| ~ r1(Y_195,X_194)
| ~ r1(X_196,Y_195)
| ~ r1(Y_197,X_196)
| ~ r1('#skF_1',Y_197) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_365,plain,
! [X_196,Y_197] :
( ~ p3('#skF_5')
| ~ p1('#skF_5')
| ~ r1(X_196,'#skF_4')
| ~ r1(Y_197,X_196)
| ~ r1('#skF_1',Y_197) ),
inference(resolution,[status(thm)],[c_18,c_355]) ).
tff(c_384,plain,
! [X_196,Y_197] :
( ~ p1('#skF_5')
| ~ r1(X_196,'#skF_4')
| ~ r1(Y_197,X_196)
| ~ r1('#skF_1',Y_197) ),
inference(demodulation,[status(thm),theory(equality)],[c_353,c_365]) ).
tff(c_391,plain,
~ p1('#skF_5'),
inference(splitLeft,[status(thm)],[c_384]) ).
tff(c_352,plain,
! [X_154,Y_155] :
( ~ p2('#skF_5')
| ~ r1(X_154,'#skF_4')
| ~ r1(Y_155,X_154)
| ~ r1('#skF_1',Y_155) ),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_354,plain,
~ p2('#skF_5'),
inference(splitLeft,[status(thm)],[c_352]) ).
tff(c_85,plain,
! [X_156,Y_157,X_158,Y_159] :
( p2(X_156)
| p1(X_156)
| ~ r1(Y_157,X_156)
| ~ r1(X_158,Y_157)
| ~ r1(Y_159,X_158)
| ~ r1('#skF_1',Y_159) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_112,plain,
! [X_158,Y_159] :
( p2('#skF_5')
| p1('#skF_5')
| ~ r1(X_158,'#skF_4')
| ~ r1(Y_159,X_158)
| ~ r1('#skF_1',Y_159) ),
inference(resolution,[status(thm)],[c_18,c_85]) ).
tff(c_523,plain,
! [X_218,Y_219] :
( ~ r1(X_218,'#skF_4')
| ~ r1(Y_219,X_218)
| ~ r1('#skF_1',Y_219) ),
inference(negUnitSimplification,[status(thm)],[c_391,c_354,c_112]) ).
tff(c_527,plain,
! [Y_220] :
( ~ r1(Y_220,'#skF_3')
| ~ r1('#skF_1',Y_220) ),
inference(resolution,[status(thm)],[c_20,c_523]) ).
tff(c_529,plain,
~ r1('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_22,c_527]) ).
tff(c_533,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_529]) ).
tff(c_536,plain,
! [X_221,Y_222] :
( ~ r1(X_221,'#skF_4')
| ~ r1(Y_222,X_221)
| ~ r1('#skF_1',Y_222) ),
inference(splitRight,[status(thm)],[c_384]) ).
tff(c_540,plain,
! [Y_223] :
( ~ r1(Y_223,'#skF_3')
| ~ r1('#skF_1',Y_223) ),
inference(resolution,[status(thm)],[c_20,c_536]) ).
tff(c_542,plain,
~ r1('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_22,c_540]) ).
tff(c_546,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_542]) ).
tff(c_549,plain,
! [X_224,Y_225] :
( ~ r1(X_224,'#skF_4')
| ~ r1(Y_225,X_224)
| ~ r1('#skF_1',Y_225) ),
inference(splitRight,[status(thm)],[c_352]) ).
tff(c_589,plain,
! [Y_230] :
( ~ r1(Y_230,'#skF_3')
| ~ r1('#skF_1',Y_230) ),
inference(resolution,[status(thm)],[c_20,c_549]) ).
tff(c_591,plain,
~ r1('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_22,c_589]) ).
tff(c_595,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_591]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : LCL650+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % 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
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % 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 14:11:44 EDT 2023
% 0.15/0.36 % CPUTime :
% 3.50/2.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.50/2.03
% 3.50/2.03 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.30/2.07
% 4.30/2.07 Inference rules
% 4.30/2.07 ----------------------
% 4.30/2.07 #Ref : 0
% 4.30/2.07 #Sup : 149
% 4.30/2.07 #Fact : 0
% 4.30/2.07 #Define : 0
% 4.30/2.07 #Split : 15
% 4.30/2.07 #Chain : 0
% 4.30/2.07 #Close : 0
% 4.30/2.07
% 4.30/2.07 Ordering : KBO
% 4.30/2.07
% 4.30/2.07 Simplification rules
% 4.30/2.07 ----------------------
% 4.30/2.07 #Subsume : 47
% 4.30/2.07 #Demod : 12
% 4.30/2.07 #Tautology : 2
% 4.30/2.07 #SimpNegUnit : 15
% 4.30/2.07 #BackRed : 0
% 4.30/2.07
% 4.30/2.07 #Partial instantiations: 0
% 4.30/2.07 #Strategies tried : 1
% 4.30/2.07
% 4.30/2.07 Timing (in seconds)
% 4.30/2.07 ----------------------
% 4.30/2.08 Preprocessing : 0.50
% 4.30/2.08 Parsing : 0.27
% 4.30/2.08 CNF conversion : 0.05
% 4.30/2.08 Main loop : 0.47
% 4.30/2.08 Inferencing : 0.17
% 4.30/2.08 Reduction : 0.12
% 4.30/2.08 Demodulation : 0.09
% 4.30/2.08 BG Simplification : 0.03
% 4.30/2.08 Subsumption : 0.11
% 4.30/2.08 Abstraction : 0.02
% 4.30/2.08 MUC search : 0.00
% 4.30/2.08 Cooper : 0.00
% 4.30/2.08 Total : 1.02
% 4.30/2.08 Index Insertion : 0.00
% 4.30/2.08 Index Deletion : 0.00
% 4.30/2.08 Index Matching : 0.00
% 4.30/2.08 BG Taut test : 0.00
%------------------------------------------------------------------------------