TSTP Solution File: SET726+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET726+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 : 600s
% DateTime : Tue Jul 19 00:13:42 EDT 2022
% Result : Theorem 8.57s 2.50s
% Output : CNFRefutation 8.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of clauses : 50 ( 21 unt; 10 nHn; 40 RR)
% Number of literals : 117 ( 10 equ; 59 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-7 aty)
% Number of variables : 127 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_129,negated_conjecture,
~ equal_maps(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t8sgrhmk/lgb.p',i_0_129) ).
cnf(i_0_30,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X1,esk10_4(X1,X2,X3,X4),esk11_4(X1,X2,X3,X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t8sgrhmk/lgb.p',i_0_30) ).
cnf(i_0_33,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk10_4(X1,X2,X3,X4),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t8sgrhmk/lgb.p',i_0_33) ).
cnf(i_0_32,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk11_4(X1,X2,X3,X4),X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t8sgrhmk/lgb.p',i_0_32) ).
cnf(i_0_40,plain,
( apply(X1,X2,X2)
| ~ member(X2,X3)
| ~ identity(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t8sgrhmk/lgb.p',i_0_40) ).
cnf(i_0_131,negated_conjecture,
identity(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk44_0),esk44_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t8sgrhmk/lgb.p',i_0_131) ).
cnf(i_0_106,plain,
( X1 = X2
| ~ member(X2,X3)
| ~ member(X1,X3)
| ~ member(X4,X5)
| ~ apply(X6,X4,X2)
| ~ apply(X6,X4,X1)
| ~ maps(X6,X5,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t8sgrhmk/lgb.p',i_0_106) ).
cnf(i_0_134,negated_conjecture,
maps(esk41_0,esk44_0,esk45_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t8sgrhmk/lgb.p',i_0_134) ).
cnf(i_0_67,plain,
( apply(X1,X2,X3)
| ~ member(X2,X4)
| ~ member(X3,X5)
| ~ apply(inverse_function(X1,X4,X5),X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t8sgrhmk/lgb.p',i_0_67) ).
cnf(i_0_3,plain,
( apply(X1,X2,esk1_7(X3,X1,X4,X5,X6,X2,X7))
| ~ member(X7,X6)
| ~ member(X2,X4)
| ~ apply(compose_function(X3,X1,X4,X5,X6),X2,X7) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t8sgrhmk/lgb.p',i_0_3) ).
cnf(i_0_4,plain,
( member(esk1_7(X1,X2,X3,X4,X5,X6,X7),X4)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t8sgrhmk/lgb.p',i_0_4) ).
cnf(i_0_133,negated_conjecture,
maps(esk42_0,esk45_0,esk44_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t8sgrhmk/lgb.p',i_0_133) ).
cnf(i_0_29,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X2,esk10_4(X1,X2,X3,X4),esk12_4(X1,X2,X3,X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t8sgrhmk/lgb.p',i_0_29) ).
cnf(i_0_31,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk12_4(X1,X2,X3,X4),X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t8sgrhmk/lgb.p',i_0_31) ).
cnf(i_0_2,plain,
( apply(X1,esk1_7(X1,X2,X3,X4,X5,X6,X7),X7)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t8sgrhmk/lgb.p',i_0_2) ).
cnf(i_0_28,plain,
( equal_maps(X1,X2,X3,X4)
| esk12_4(X1,X2,X3,X4) != esk11_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t8sgrhmk/lgb.p',i_0_28) ).
cnf(c_0_151,negated_conjecture,
~ equal_maps(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),
i_0_129 ).
cnf(c_0_152,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X1,esk10_4(X1,X2,X3,X4),esk11_4(X1,X2,X3,X4)) ),
i_0_30 ).
cnf(c_0_153,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk10_4(X1,X2,X3,X4),X3) ),
i_0_33 ).
cnf(c_0_154,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk11_4(X1,X2,X3,X4),X4) ),
i_0_32 ).
cnf(c_0_155,plain,
( apply(X1,X2,X2)
| ~ member(X2,X3)
| ~ identity(X1,X3) ),
i_0_40 ).
cnf(c_0_156,negated_conjecture,
identity(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk44_0),esk44_0),
i_0_131 ).
cnf(c_0_157,plain,
( X1 = X2
| ~ member(X2,X3)
| ~ member(X1,X3)
| ~ member(X4,X5)
| ~ apply(X6,X4,X2)
| ~ apply(X6,X4,X1)
| ~ maps(X6,X5,X3) ),
i_0_106 ).
cnf(c_0_158,negated_conjecture,
maps(esk41_0,esk44_0,esk45_0),
i_0_134 ).
cnf(c_0_159,plain,
( apply(X1,X2,X3)
| ~ member(X2,X4)
| ~ member(X3,X5)
| ~ apply(inverse_function(X1,X4,X5),X3,X2) ),
i_0_67 ).
cnf(c_0_160,negated_conjecture,
apply(inverse_function(esk41_0,esk44_0,esk45_0),esk10_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),esk11_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0)),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_161,negated_conjecture,
member(esk10_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),esk45_0),
inference(spm,[status(thm)],[c_0_151,c_0_153]) ).
cnf(c_0_162,negated_conjecture,
member(esk11_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),esk44_0),
inference(spm,[status(thm)],[c_0_151,c_0_154]) ).
cnf(c_0_163,negated_conjecture,
( apply(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk44_0),X1,X1)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_164,negated_conjecture,
( X1 = X2
| ~ member(X3,esk44_0)
| ~ member(X2,esk45_0)
| ~ member(X1,esk45_0)
| ~ apply(esk41_0,X3,X2)
| ~ apply(esk41_0,X3,X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_165,plain,
apply(esk41_0,esk11_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),esk10_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]),c_0_162])]) ).
cnf(c_0_166,plain,
( apply(X1,X2,esk1_7(X3,X1,X4,X5,X6,X2,X7))
| ~ member(X7,X6)
| ~ member(X2,X4)
| ~ apply(compose_function(X3,X1,X4,X5,X6),X2,X7) ),
i_0_3 ).
cnf(c_0_167,negated_conjecture,
apply(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk44_0),esk11_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),esk11_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0)),
inference(spm,[status(thm)],[c_0_163,c_0_162]) ).
cnf(c_0_168,plain,
( member(esk1_7(X1,X2,X3,X4,X5,X6,X7),X4)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
i_0_4 ).
cnf(c_0_169,negated_conjecture,
maps(esk42_0,esk45_0,esk44_0),
i_0_133 ).
cnf(c_0_170,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X2,esk10_4(X1,X2,X3,X4),esk12_4(X1,X2,X3,X4)) ),
i_0_29 ).
cnf(c_0_171,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk12_4(X1,X2,X3,X4),X4) ),
i_0_31 ).
cnf(c_0_172,plain,
( X1 = esk10_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0)
| ~ member(X1,esk45_0)
| ~ apply(esk41_0,esk11_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_162]),c_0_161])]) ).
cnf(c_0_173,negated_conjecture,
apply(esk41_0,esk11_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),esk1_7(esk42_0,esk41_0,esk44_0,esk45_0,esk44_0,esk11_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),esk11_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_162])]) ).
cnf(c_0_174,negated_conjecture,
member(esk1_7(esk42_0,esk41_0,esk44_0,esk45_0,esk44_0,esk11_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),esk11_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0)),esk45_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_167]),c_0_162])]) ).
cnf(c_0_175,negated_conjecture,
( X1 = X2
| ~ member(X3,esk45_0)
| ~ member(X2,esk44_0)
| ~ member(X1,esk44_0)
| ~ apply(esk42_0,X3,X2)
| ~ apply(esk42_0,X3,X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_169]) ).
cnf(c_0_176,negated_conjecture,
apply(esk42_0,esk10_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),esk12_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0)),
inference(spm,[status(thm)],[c_0_151,c_0_170]) ).
cnf(c_0_177,negated_conjecture,
member(esk12_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),esk44_0),
inference(spm,[status(thm)],[c_0_151,c_0_171]) ).
cnf(c_0_178,plain,
( apply(X1,esk1_7(X1,X2,X3,X4,X5,X6,X7),X7)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
i_0_2 ).
cnf(c_0_179,plain,
esk1_7(esk42_0,esk41_0,esk44_0,esk45_0,esk44_0,esk11_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),esk11_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0)) = esk10_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174])]) ).
cnf(c_0_180,negated_conjecture,
( X1 = esk12_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0)
| ~ member(X1,esk44_0)
| ~ apply(esk42_0,esk10_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_161]),c_0_177])]) ).
cnf(c_0_181,negated_conjecture,
apply(esk42_0,esk10_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),esk11_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_167]),c_0_162])]),c_0_179]) ).
cnf(c_0_182,plain,
( equal_maps(X1,X2,X3,X4)
| esk12_4(X1,X2,X3,X4) != esk11_4(X1,X2,X3,X4) ),
i_0_28 ).
cnf(c_0_183,negated_conjecture,
esk12_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0) = esk11_4(inverse_function(esk41_0,esk44_0,esk45_0),esk42_0,esk45_0,esk44_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_162])]) ).
cnf(c_0_184,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_151]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET726+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.10/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jul 10 10:34:59 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.43 # ENIGMATIC: Selected SinE mode:
% 0.17/0.44 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.17/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.17/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.57/2.50 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.57/2.50 # No SInE strategy applied
% 8.57/2.50 # Trying AutoSched0 for 150 seconds
% 8.57/2.50 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S00AA
% 8.57/2.50 # and selection function SelectLargestOrientable.
% 8.57/2.50 #
% 8.57/2.50 # Preprocessing time : 0.023 s
% 8.57/2.50 # Presaturation interreduction done
% 8.57/2.50
% 8.57/2.50 # Proof found!
% 8.57/2.50 # SZS status Theorem
% 8.57/2.50 # SZS output start CNFRefutation
% See solution above
% 8.57/2.50 # Training examples: 0 positive, 0 negative
% 8.57/2.50
% 8.57/2.50 # -------------------------------------------------
% 8.57/2.50 # User time : 0.145 s
% 8.57/2.50 # System time : 0.009 s
% 8.57/2.50 # Total time : 0.153 s
% 8.57/2.50 # Maximum resident set size: 7124 pages
% 8.57/2.50
%------------------------------------------------------------------------------