TSTP Solution File: SET992+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET992+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 00:15:44 EDT 2022
% Result : Theorem 7.24s 2.25s
% Output : CNFRefutation 7.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 37 ( 13 unt; 3 nHn; 33 RR)
% Number of literals : 96 ( 40 equ; 55 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 55 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3i_d2w08/lgb.p',i_0_7) ).
cnf(i_0_45,negated_conjecture,
singleton(esk14_0) = relation_dom(esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3i_d2w08/lgb.p',i_0_45) ).
cnf(i_0_13,plain,
( in(esk2_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3i_d2w08/lgb.p',i_0_13) ).
cnf(i_0_12,plain,
( apply(X1,esk2_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3i_d2w08/lgb.p',i_0_12) ).
cnf(i_0_47,negated_conjecture,
relation(esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3i_d2w08/lgb.p',i_0_47) ).
cnf(i_0_46,negated_conjecture,
function(esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3i_d2w08/lgb.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/sandbox2/tmp/enigma-theBenchmark.p-3i_d2w08/lgb.p',i_0_11) ).
cnf(i_0_6,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3i_d2w08/lgb.p',i_0_6) ).
cnf(i_0_4,plain,
( X1 = singleton(X2)
| esk1_2(X2,X1) = X2
| in(esk1_2(X2,X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3i_d2w08/lgb.p',i_0_4) ).
cnf(i_0_44,negated_conjecture,
singleton(apply(esk15_0,esk14_0)) != relation_rng(esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3i_d2w08/lgb.p',i_0_44) ).
cnf(i_0_5,plain,
( X1 = singleton(X2)
| esk1_2(X2,X1) != X2
| ~ in(esk1_2(X2,X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3i_d2w08/lgb.p',i_0_5) ).
cnf(c_0_59,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
i_0_7 ).
cnf(c_0_60,plain,
( X1 = X2
| ~ in(X1,singleton(X2)) ),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_61,negated_conjecture,
singleton(esk14_0) = relation_dom(esk15_0),
i_0_45 ).
cnf(c_0_62,plain,
( in(esk2_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_13 ).
cnf(c_0_63,plain,
( apply(X1,esk2_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_12 ).
cnf(c_0_64,negated_conjecture,
( X1 = esk14_0
| ~ in(X1,relation_dom(esk15_0)) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_65,plain,
( in(esk2_3(X1,relation_rng(X1),X2),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[c_0_62]) ).
cnf(c_0_66,negated_conjecture,
relation(esk15_0),
i_0_47 ).
cnf(c_0_67,negated_conjecture,
function(esk15_0),
i_0_46 ).
cnf(c_0_68,plain,
( apply(X1,esk2_3(X1,relation_rng(X1),X2)) = X2
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[c_0_63]) ).
cnf(c_0_69,plain,
( esk2_3(esk15_0,relation_rng(esk15_0),X1) = esk14_0
| ~ in(X1,relation_rng(esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_67])]) ).
cnf(c_0_70,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_71,plain,
( apply(esk15_0,esk14_0) = X1
| ~ in(X1,relation_rng(esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_66]),c_0_67])]) ).
cnf(c_0_72,plain,
( in(apply(X1,X2),relation_rng(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_70])]) ).
cnf(c_0_73,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
i_0_6 ).
cnf(c_0_74,plain,
( X1 = singleton(X2)
| esk1_2(X2,X1) = X2
| in(esk1_2(X2,X1),X1) ),
i_0_4 ).
cnf(c_0_75,plain,
( apply(esk15_0,esk14_0) = apply(esk15_0,X1)
| ~ in(X1,relation_dom(esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_66]),c_0_67])]) ).
cnf(c_0_76,plain,
in(X1,singleton(X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_73])]) ).
cnf(c_0_77,plain,
( esk1_2(X1,relation_rng(esk15_0)) = apply(esk15_0,esk14_0)
| esk1_2(X1,relation_rng(esk15_0)) = X1
| singleton(X1) = relation_rng(esk15_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_74]) ).
cnf(c_0_78,negated_conjecture,
singleton(apply(esk15_0,esk14_0)) != relation_rng(esk15_0),
i_0_44 ).
cnf(c_0_79,plain,
( in(apply(esk15_0,esk14_0),relation_rng(esk15_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_72,c_0_75]),c_0_66]),c_0_67])]) ).
cnf(c_0_80,negated_conjecture,
in(esk14_0,relation_dom(esk15_0)),
inference(spm,[status(thm)],[c_0_76,c_0_61]) ).
cnf(c_0_81,plain,
( X1 = singleton(X2)
| esk1_2(X2,X1) != X2
| ~ in(esk1_2(X2,X1),X1) ),
i_0_5 ).
cnf(c_0_82,plain,
esk1_2(apply(esk15_0,esk14_0),relation_rng(esk15_0)) = apply(esk15_0,esk14_0),
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_77])]),c_0_78]) ).
cnf(c_0_83,negated_conjecture,
in(apply(esk15_0,esk14_0),relation_rng(esk15_0)),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_84,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]),c_0_78]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET992+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.10/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 05:45:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.24/2.25 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.24/2.25 # No SInE strategy applied
% 7.24/2.25 # Trying AutoSched0 for 150 seconds
% 7.24/2.25 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 7.24/2.25 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.24/2.25 #
% 7.24/2.25 # Preprocessing time : 0.013 s
% 7.24/2.25 # Presaturation interreduction done
% 7.24/2.25
% 7.24/2.25 # Proof found!
% 7.24/2.25 # SZS status Theorem
% 7.24/2.25 # SZS output start CNFRefutation
% See solution above
% 7.24/2.25 # Training examples: 0 positive, 0 negative
% 7.24/2.25
% 7.24/2.25 # -------------------------------------------------
% 7.24/2.25 # User time : 0.033 s
% 7.24/2.25 # System time : 0.006 s
% 7.24/2.25 # Total time : 0.039 s
% 7.24/2.25 # Maximum resident set size: 7120 pages
% 7.24/2.25
%------------------------------------------------------------------------------