TSTP Solution File: SEU284+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU284+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 08:40:24 EDT 2022
% Result : Theorem 8.05s 2.44s
% Output : CNFRefutation 8.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of clauses : 55 ( 5 unt; 26 nHn; 49 RR)
% Number of literals : 155 ( 104 equ; 80 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 77 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_17,plain,
( singleton(esk4_1(X1)) = esk6_1(X1)
| apply(esk8_1(X1),X2) = singleton(X2)
| X3 != singleton(esk7_1(X1))
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dofrv5op/lgb.p',i_0_17) ).
cnf(i_0_18,plain,
( relation_dom(esk8_1(X1)) = X1
| singleton(esk4_1(X1)) = esk6_1(X1)
| X2 != singleton(esk7_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dofrv5op/lgb.p',i_0_18) ).
cnf(i_0_20,plain,
( singleton(esk4_1(X1)) = esk6_1(X1)
| relation(esk8_1(X1))
| X2 != singleton(esk7_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dofrv5op/lgb.p',i_0_20) ).
cnf(i_0_19,plain,
( singleton(esk4_1(X1)) = esk6_1(X1)
| function(esk8_1(X1))
| X2 != singleton(esk7_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dofrv5op/lgb.p',i_0_19) ).
cnf(i_0_2,negated_conjecture,
( in(esk2_1(X1),esk1_0)
| relation_dom(X1) != esk1_0
| ~ relation(X1)
| ~ function(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dofrv5op/lgb.p',i_0_2) ).
cnf(i_0_1,negated_conjecture,
( relation_dom(X1) != esk1_0
| apply(X1,esk2_1(X1)) != singleton(esk2_1(X1))
| ~ relation(X1)
| ~ function(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dofrv5op/lgb.p',i_0_1) ).
cnf(i_0_26,plain,
( relation_dom(esk8_1(X1)) = X1
| singleton(esk4_1(X1)) = esk5_1(X1)
| X2 != singleton(esk7_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dofrv5op/lgb.p',i_0_26) ).
cnf(i_0_28,plain,
( singleton(esk4_1(X1)) = esk5_1(X1)
| relation(esk8_1(X1))
| X2 != singleton(esk7_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dofrv5op/lgb.p',i_0_28) ).
cnf(i_0_27,plain,
( singleton(esk4_1(X1)) = esk5_1(X1)
| function(esk8_1(X1))
| X2 != singleton(esk7_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dofrv5op/lgb.p',i_0_27) ).
cnf(i_0_10,plain,
( relation_dom(esk8_1(X1)) = X1
| X2 != singleton(esk7_1(X1))
| esk6_1(X1) != esk5_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dofrv5op/lgb.p',i_0_10) ).
cnf(i_0_12,plain,
( relation(esk8_1(X1))
| X2 != singleton(esk7_1(X1))
| esk6_1(X1) != esk5_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dofrv5op/lgb.p',i_0_12) ).
cnf(i_0_11,plain,
( function(esk8_1(X1))
| X2 != singleton(esk7_1(X1))
| esk6_1(X1) != esk5_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dofrv5op/lgb.p',i_0_11) ).
cnf(i_0_25,plain,
( singleton(esk4_1(X1)) = esk5_1(X1)
| apply(esk8_1(X1),X2) = singleton(X2)
| X3 != singleton(esk7_1(X1))
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dofrv5op/lgb.p',i_0_25) ).
cnf(i_0_9,plain,
( apply(esk8_1(X1),X2) = singleton(X2)
| X3 != singleton(esk7_1(X1))
| esk6_1(X1) != esk5_1(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dofrv5op/lgb.p',i_0_9) ).
cnf(c_0_43,plain,
( singleton(esk4_1(X1)) = esk6_1(X1)
| apply(esk8_1(X1),X2) = singleton(X2)
| X3 != singleton(esk7_1(X1))
| ~ in(X2,X1) ),
i_0_17 ).
cnf(c_0_44,plain,
( relation_dom(esk8_1(X1)) = X1
| singleton(esk4_1(X1)) = esk6_1(X1)
| X2 != singleton(esk7_1(X1)) ),
i_0_18 ).
cnf(c_0_45,plain,
( singleton(esk4_1(X1)) = esk6_1(X1)
| relation(esk8_1(X1))
| X2 != singleton(esk7_1(X1)) ),
i_0_20 ).
cnf(c_0_46,plain,
( singleton(esk4_1(X1)) = esk6_1(X1)
| function(esk8_1(X1))
| X2 != singleton(esk7_1(X1)) ),
i_0_19 ).
cnf(c_0_47,plain,
( apply(esk8_1(X1),X2) = singleton(X2)
| singleton(esk4_1(X1)) = esk6_1(X1)
| ~ in(X2,X1) ),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( in(esk2_1(X1),esk1_0)
| relation_dom(X1) != esk1_0
| ~ relation(X1)
| ~ function(X1) ),
i_0_2 ).
cnf(c_0_49,negated_conjecture,
( relation_dom(X1) != esk1_0
| apply(X1,esk2_1(X1)) != singleton(esk2_1(X1))
| ~ relation(X1)
| ~ function(X1) ),
i_0_1 ).
cnf(c_0_50,plain,
( singleton(esk4_1(X1)) = esk6_1(X1)
| relation_dom(esk8_1(X1)) = X1 ),
inference(er,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
( singleton(esk4_1(X1)) = esk6_1(X1)
| relation(esk8_1(X1)) ),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_52,plain,
( singleton(esk4_1(X1)) = esk6_1(X1)
| function(esk8_1(X1)) ),
inference(er,[status(thm)],[c_0_46]) ).
cnf(c_0_53,plain,
( relation_dom(esk8_1(X1)) = X1
| singleton(esk4_1(X1)) = esk5_1(X1)
| X2 != singleton(esk7_1(X1)) ),
i_0_26 ).
cnf(c_0_54,plain,
( singleton(esk4_1(X1)) = esk5_1(X1)
| relation(esk8_1(X1))
| X2 != singleton(esk7_1(X1)) ),
i_0_28 ).
cnf(c_0_55,plain,
( singleton(esk4_1(X1)) = esk5_1(X1)
| function(esk8_1(X1))
| X2 != singleton(esk7_1(X1)) ),
i_0_27 ).
cnf(c_0_56,plain,
( relation_dom(esk8_1(X1)) = X1
| X2 != singleton(esk7_1(X1))
| esk6_1(X1) != esk5_1(X1) ),
i_0_10 ).
cnf(c_0_57,plain,
( relation(esk8_1(X1))
| X2 != singleton(esk7_1(X1))
| esk6_1(X1) != esk5_1(X1) ),
i_0_12 ).
cnf(c_0_58,plain,
( function(esk8_1(X1))
| X2 != singleton(esk7_1(X1))
| esk6_1(X1) != esk5_1(X1) ),
i_0_11 ).
cnf(c_0_59,plain,
( singleton(esk4_1(X1)) = esk5_1(X1)
| apply(esk8_1(X1),X2) = singleton(X2)
| X3 != singleton(esk7_1(X1))
| ~ in(X2,X1) ),
i_0_25 ).
cnf(c_0_60,negated_conjecture,
( apply(esk8_1(esk1_0),esk2_1(X1)) = singleton(esk2_1(X1))
| singleton(esk4_1(esk1_0)) = esk6_1(esk1_0)
| relation_dom(X1) != esk1_0
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_61,negated_conjecture,
( singleton(esk4_1(esk1_0)) = esk6_1(esk1_0)
| apply(esk8_1(esk1_0),esk2_1(esk8_1(esk1_0))) != singleton(esk2_1(esk8_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50])]),c_0_51]),c_0_52]) ).
cnf(c_0_62,plain,
( singleton(esk4_1(X1)) = esk5_1(X1)
| relation_dom(esk8_1(X1)) = X1 ),
inference(er,[status(thm)],[c_0_53]) ).
cnf(c_0_63,plain,
( singleton(esk4_1(X1)) = esk5_1(X1)
| relation(esk8_1(X1)) ),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_64,plain,
( singleton(esk4_1(X1)) = esk5_1(X1)
| function(esk8_1(X1)) ),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_65,plain,
( relation_dom(esk8_1(X1)) = X1
| esk6_1(X1) != esk5_1(X1) ),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_66,plain,
( relation(esk8_1(X1))
| esk6_1(X1) != esk5_1(X1) ),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_67,plain,
( function(esk8_1(X1))
| esk6_1(X1) != esk5_1(X1) ),
inference(er,[status(thm)],[c_0_58]) ).
cnf(c_0_68,plain,
( apply(esk8_1(X1),X2) = singleton(X2)
| singleton(esk4_1(X1)) = esk5_1(X1)
| ~ in(X2,X1) ),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_69,plain,
singleton(esk4_1(esk1_0)) = esk6_1(esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_50])]),c_0_51]),c_0_52]),c_0_61]) ).
cnf(c_0_70,negated_conjecture,
( singleton(esk4_1(esk1_0)) = esk5_1(esk1_0)
| apply(esk8_1(esk1_0),esk2_1(esk8_1(esk1_0))) != singleton(esk2_1(esk8_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_62])]),c_0_63]),c_0_64]) ).
cnf(c_0_71,negated_conjecture,
( apply(esk8_1(esk1_0),esk2_1(esk8_1(esk1_0))) != singleton(esk2_1(esk8_1(esk1_0)))
| esk6_1(esk1_0) != esk5_1(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_65])]),c_0_66]),c_0_67]) ).
cnf(c_0_72,negated_conjecture,
( apply(esk8_1(esk1_0),esk2_1(X1)) = singleton(esk2_1(X1))
| esk6_1(esk1_0) = esk5_1(esk1_0)
| relation_dom(X1) != esk1_0
| ~ function(X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_48]),c_0_69]) ).
cnf(c_0_73,negated_conjecture,
apply(esk8_1(esk1_0),esk2_1(esk8_1(esk1_0))) != singleton(esk2_1(esk8_1(esk1_0))),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_69]),c_0_71]) ).
cnf(c_0_74,plain,
( esk6_1(esk1_0) = esk5_1(esk1_0)
| ~ function(esk8_1(esk1_0))
| ~ relation(esk8_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_62])]),c_0_69])]),c_0_73]) ).
cnf(c_0_75,plain,
( apply(esk8_1(X1),X2) = singleton(X2)
| X3 != singleton(esk7_1(X1))
| esk6_1(X1) != esk5_1(X1)
| ~ in(X2,X1) ),
i_0_9 ).
cnf(c_0_76,plain,
( esk6_1(esk1_0) = esk5_1(esk1_0)
| ~ relation(esk8_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_64]),c_0_69])]) ).
cnf(c_0_77,plain,
( apply(esk8_1(X1),X2) = singleton(X2)
| esk6_1(X1) != esk5_1(X1)
| ~ in(X2,X1) ),
inference(er,[status(thm)],[c_0_75]) ).
cnf(c_0_78,plain,
esk6_1(esk1_0) = esk5_1(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_63]),c_0_69])]) ).
cnf(c_0_79,plain,
( apply(esk8_1(esk1_0),X1) = singleton(X1)
| ~ in(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_80,negated_conjecture,
( apply(esk8_1(esk1_0),esk2_1(X1)) = singleton(esk2_1(X1))
| relation_dom(X1) != esk1_0
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_48]) ).
cnf(c_0_81,plain,
( ~ function(esk8_1(esk1_0))
| ~ relation(esk8_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_65])]),c_0_78])]),c_0_73]) ).
cnf(c_0_82,plain,
~ relation(esk8_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_67]),c_0_78])]) ).
cnf(c_0_83,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_66]),c_0_78])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU284+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n011.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jun 20 02:30:41 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.05/2.44 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.05/2.44 # No SInE strategy applied
% 8.05/2.44 # Trying AutoSched0 for 150 seconds
% 8.05/2.44 # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S070I
% 8.05/2.44 # and selection function SelectVGNonCR.
% 8.05/2.44 #
% 8.05/2.44 # Preprocessing time : 0.012 s
% 8.05/2.44 # Presaturation interreduction done
% 8.05/2.44
% 8.05/2.44 # Proof found!
% 8.05/2.44 # SZS status Theorem
% 8.05/2.44 # SZS output start CNFRefutation
% See solution above
% 8.05/2.44 # Training examples: 0 positive, 0 negative
% 8.05/2.44
% 8.05/2.44 # -------------------------------------------------
% 8.05/2.44 # User time : 0.014 s
% 8.05/2.44 # System time : 0.003 s
% 8.05/2.44 # Total time : 0.017 s
% 8.05/2.44 # Maximum resident set size: 7120 pages
% 8.05/2.44
%------------------------------------------------------------------------------