TSTP Solution File: SET715+4 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET715+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 00:13:37 EDT 2022
% Result : Theorem 8.51s 2.41s
% Output : CNFRefutation 8.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 9 unt; 2 nHn; 25 RR)
% Number of literals : 64 ( 0 equ; 39 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-5 aty)
% Number of variables : 63 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_110,plain,
( surjective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvgvkb5p/lgb.p',i_0_110) ).
cnf(i_0_130,negated_conjecture,
one_to_one(esk41_0,esk42_0,esk43_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvgvkb5p/lgb.p',i_0_130) ).
cnf(i_0_127,plain,
( apply(X1,esk39_4(X1,X2,X3,X4),X4)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvgvkb5p/lgb.p',i_0_127) ).
cnf(i_0_129,negated_conjecture,
~ identity(compose_function(esk41_0,inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0,esk43_0),esk43_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvgvkb5p/lgb.p',i_0_129) ).
cnf(i_0_39,plain,
( identity(X1,X2)
| member(esk13_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvgvkb5p/lgb.p',i_0_39) ).
cnf(i_0_1,plain,
( apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7)
| ~ apply(X2,X6,X8) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvgvkb5p/lgb.p',i_0_1) ).
cnf(i_0_38,plain,
( identity(X1,X2)
| ~ apply(X1,esk13_2(X1,X2),esk13_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvgvkb5p/lgb.p',i_0_38) ).
cnf(i_0_68,plain,
( apply(inverse_function(X1,X2,X3),X4,X5)
| ~ member(X4,X3)
| ~ member(X5,X2)
| ~ apply(X1,X5,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvgvkb5p/lgb.p',i_0_68) ).
cnf(i_0_128,plain,
( member(esk39_4(X1,X2,X3,X4),X2)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvgvkb5p/lgb.p',i_0_128) ).
cnf(c_0_140,plain,
( surjective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
i_0_110 ).
cnf(c_0_141,negated_conjecture,
one_to_one(esk41_0,esk42_0,esk43_0),
i_0_130 ).
cnf(c_0_142,plain,
( apply(X1,esk39_4(X1,X2,X3,X4),X4)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
i_0_127 ).
cnf(c_0_143,negated_conjecture,
surjective(esk41_0,esk42_0,esk43_0),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_144,negated_conjecture,
~ identity(compose_function(esk41_0,inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0,esk43_0),esk43_0),
i_0_129 ).
cnf(c_0_145,plain,
( identity(X1,X2)
| member(esk13_2(X1,X2),X2) ),
i_0_39 ).
cnf(c_0_146,negated_conjecture,
( apply(esk41_0,esk39_4(esk41_0,esk42_0,esk43_0,X1),X1)
| ~ member(X1,esk43_0) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_147,negated_conjecture,
member(esk13_2(compose_function(esk41_0,inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0,esk43_0),esk43_0),esk43_0),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_148,plain,
( apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7)
| ~ apply(X2,X6,X8) ),
i_0_1 ).
cnf(c_0_149,negated_conjecture,
apply(esk41_0,esk39_4(esk41_0,esk42_0,esk43_0,esk13_2(compose_function(esk41_0,inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0,esk43_0),esk43_0)),esk13_2(compose_function(esk41_0,inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0,esk43_0),esk43_0)),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_150,plain,
( identity(X1,X2)
| ~ apply(X1,esk13_2(X1,X2),esk13_2(X1,X2)) ),
i_0_38 ).
cnf(c_0_151,plain,
( apply(compose_function(esk41_0,X1,X2,X3,X4),X5,esk13_2(compose_function(esk41_0,inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0,esk43_0),esk43_0))
| ~ member(esk39_4(esk41_0,esk42_0,esk43_0,esk13_2(compose_function(esk41_0,inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0,esk43_0),esk43_0)),X3)
| ~ member(esk13_2(compose_function(esk41_0,inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0,esk43_0),esk43_0),X4)
| ~ member(X5,X2)
| ~ apply(X1,X5,esk39_4(esk41_0,esk42_0,esk43_0,esk13_2(compose_function(esk41_0,inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0,esk43_0),esk43_0))) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_152,plain,
( ~ member(esk39_4(esk41_0,esk42_0,esk43_0,esk13_2(compose_function(esk41_0,inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0,esk43_0),esk43_0)),esk42_0)
| ~ apply(inverse_function(esk41_0,esk42_0,esk43_0),esk13_2(compose_function(esk41_0,inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0,esk43_0),esk43_0),esk39_4(esk41_0,esk42_0,esk43_0,esk13_2(compose_function(esk41_0,inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0,esk43_0),esk43_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_147])]),c_0_144]) ).
cnf(c_0_153,plain,
( apply(inverse_function(X1,X2,X3),X4,X5)
| ~ member(X4,X3)
| ~ member(X5,X2)
| ~ apply(X1,X5,X4) ),
i_0_68 ).
cnf(c_0_154,plain,
( member(esk39_4(X1,X2,X3,X4),X2)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
i_0_128 ).
cnf(c_0_155,plain,
~ member(esk39_4(esk41_0,esk42_0,esk43_0,esk13_2(compose_function(esk41_0,inverse_function(esk41_0,esk42_0,esk43_0),esk43_0,esk42_0,esk43_0),esk43_0)),esk42_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_147]),c_0_149])]) ).
cnf(c_0_156,negated_conjecture,
( member(esk39_4(esk41_0,esk42_0,esk43_0,X1),esk42_0)
| ~ member(X1,esk43_0) ),
inference(spm,[status(thm)],[c_0_154,c_0_143]) ).
cnf(c_0_157,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_147])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET715+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 01:16:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.51/2.41 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.51/2.41 # No SInE strategy applied
% 8.51/2.41 # Trying AutoSched0 for 150 seconds
% 8.51/2.41 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S088I
% 8.51/2.41 # and selection function SelectCQArNTEqFirstUnlessPDom.
% 8.51/2.41 #
% 8.51/2.41 # Preprocessing time : 0.023 s
% 8.51/2.41 # Presaturation interreduction done
% 8.51/2.41
% 8.51/2.41 # Proof found!
% 8.51/2.41 # SZS status Theorem
% 8.51/2.41 # SZS output start CNFRefutation
% See solution above
% 8.51/2.41 # Training examples: 0 positive, 0 negative
% 8.51/2.41
% 8.51/2.41 # -------------------------------------------------
% 8.51/2.41 # User time : 0.083 s
% 8.51/2.41 # System time : 0.009 s
% 8.51/2.41 # Total time : 0.092 s
% 8.51/2.41 # Maximum resident set size: 7124 pages
% 8.51/2.41
%------------------------------------------------------------------------------