TSTP Solution File: SET995+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET995+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 00:15:45 EDT 2022
% Result : Theorem 10.25s 2.73s
% Output : CNFRefutation 10.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 35 ( 19 unt; 3 nHn; 35 RR)
% Number of literals : 90 ( 36 equ; 54 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si7sq7ll/input.p',i_0_7) ).
cnf(i_0_46,negated_conjecture,
singleton(esk14_0) = relation_rng(esk15_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si7sq7ll/input.p',i_0_46) ).
cnf(i_0_11,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| X1 != apply(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X4,relation_dom(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si7sq7ll/input.p',i_0_11) ).
cnf(i_0_45,negated_conjecture,
singleton(esk14_0) = relation_rng(esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si7sq7ll/input.p',i_0_45) ).
cnf(i_0_51,negated_conjecture,
relation(esk15_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si7sq7ll/input.p',i_0_51) ).
cnf(i_0_50,negated_conjecture,
function(esk15_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si7sq7ll/input.p',i_0_50) ).
cnf(i_0_47,negated_conjecture,
relation_dom(esk16_0) = relation_dom(esk15_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si7sq7ll/input.p',i_0_47) ).
cnf(i_0_49,negated_conjecture,
relation(esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si7sq7ll/input.p',i_0_49) ).
cnf(i_0_48,negated_conjecture,
function(esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si7sq7ll/input.p',i_0_48) ).
cnf(i_0_62,plain,
( X1 = X2
| in(esk17_2(X1,X2),relation_dom(X1))
| relation_dom(X1) != relation_dom(X2)
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si7sq7ll/input.p',i_0_62) ).
cnf(i_0_61,plain,
( X1 = X2
| relation_dom(X1) != relation_dom(X2)
| apply(X1,esk17_2(X1,X2)) != apply(X2,esk17_2(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si7sq7ll/input.p',i_0_61) ).
cnf(i_0_44,negated_conjecture,
esk16_0 != esk15_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si7sq7ll/input.p',i_0_44) ).
cnf(c_0_75,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
i_0_7 ).
cnf(c_0_76,plain,
( X1 = X2
| ~ in(X1,singleton(X2)) ),
inference(er,[status(thm)],[c_0_75]) ).
cnf(c_0_77,negated_conjecture,
singleton(esk14_0) = relation_rng(esk15_0),
i_0_46 ).
cnf(c_0_78,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| X1 != apply(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X4,relation_dom(X3)) ),
i_0_11 ).
cnf(c_0_79,negated_conjecture,
singleton(esk14_0) = relation_rng(esk16_0),
i_0_45 ).
cnf(c_0_80,negated_conjecture,
( X1 = esk14_0
| ~ in(X1,relation_rng(esk15_0)) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,plain,
( in(apply(X1,X2),relation_rng(X1))
| ~ in(X2,relation_dom(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_78])]) ).
cnf(c_0_82,negated_conjecture,
relation(esk15_0),
i_0_51 ).
cnf(c_0_83,negated_conjecture,
function(esk15_0),
i_0_50 ).
cnf(c_0_84,negated_conjecture,
relation_rng(esk16_0) = relation_rng(esk15_0),
inference(rw,[status(thm)],[c_0_79,c_0_77]) ).
cnf(c_0_85,negated_conjecture,
relation_dom(esk16_0) = relation_dom(esk15_0),
i_0_47 ).
cnf(c_0_86,negated_conjecture,
relation(esk16_0),
i_0_49 ).
cnf(c_0_87,negated_conjecture,
function(esk16_0),
i_0_48 ).
cnf(c_0_88,plain,
( X1 = X2
| in(esk17_2(X1,X2),relation_dom(X1))
| relation_dom(X1) != relation_dom(X2)
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_62 ).
cnf(c_0_89,plain,
( X1 = X2
| relation_dom(X1) != relation_dom(X2)
| apply(X1,esk17_2(X1,X2)) != apply(X2,esk17_2(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_61 ).
cnf(c_0_90,plain,
( apply(esk15_0,X1) = esk14_0
| ~ in(X1,relation_dom(esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]),c_0_83])]) ).
cnf(c_0_91,negated_conjecture,
( in(apply(esk16_0,X1),relation_rng(esk15_0))
| ~ in(X1,relation_dom(esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_84]),c_0_85]),c_0_86]),c_0_87])]) ).
cnf(c_0_92,negated_conjecture,
( X1 = esk16_0
| in(esk17_2(X1,esk16_0),relation_dom(X1))
| relation_dom(X1) != relation_dom(esk15_0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_86]),c_0_85]),c_0_87])]) ).
cnf(c_0_93,negated_conjecture,
esk16_0 != esk15_0,
i_0_44 ).
cnf(c_0_94,plain,
( esk15_0 = X1
| apply(X1,esk17_2(esk15_0,X1)) != esk14_0
| relation_dom(esk15_0) != relation_dom(X1)
| ~ in(esk17_2(esk15_0,X1),relation_dom(esk15_0))
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_82]),c_0_83])]) ).
cnf(c_0_95,negated_conjecture,
( apply(esk16_0,X1) = esk14_0
| ~ in(X1,relation_dom(esk15_0)) ),
inference(spm,[status(thm)],[c_0_80,c_0_91]) ).
cnf(c_0_96,negated_conjecture,
in(esk17_2(esk15_0,esk16_0),relation_dom(esk15_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_92]),c_0_82]),c_0_83])]),c_0_93]) ).
cnf(c_0_97,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_85]),c_0_96]),c_0_86]),c_0_87])]),c_0_93]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET995+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n027.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 : Sat Jul 9 17:44:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 10.25/2.73 # ENIGMATIC: Solved by autoschedule:
% 10.25/2.73 # No SInE strategy applied
% 10.25/2.73 # Trying AutoSched0 for 150 seconds
% 10.25/2.73 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 10.25/2.73 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.25/2.73 #
% 10.25/2.73 # Preprocessing time : 0.013 s
% 10.25/2.73 # Presaturation interreduction done
% 10.25/2.73
% 10.25/2.73 # Proof found!
% 10.25/2.73 # SZS status Theorem
% 10.25/2.73 # SZS output start CNFRefutation
% See solution above
% 10.25/2.73 # Training examples: 0 positive, 0 negative
% 10.25/2.73
% 10.25/2.73 # -------------------------------------------------
% 10.25/2.73 # User time : 0.037 s
% 10.25/2.73 # System time : 0.004 s
% 10.25/2.73 # Total time : 0.041 s
% 10.25/2.73 # Maximum resident set size: 7124 pages
% 10.25/2.73
%------------------------------------------------------------------------------