TSTP Solution File: SEU077+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU077+1 : TPTP v8.1.0. Released v3.2.0.
% 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 08:38:20 EDT 2022
% Result : Theorem 7.40s 2.23s
% Output : CNFRefutation 7.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 40 ( 11 unt; 11 nHn; 31 RR)
% Number of literals : 108 ( 12 equ; 59 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 65 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_15,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12qbhxcz/lgb.p',i_0_15) ).
cnf(i_0_58,negated_conjecture,
subset(esk17_0,relation_rng(esk19_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12qbhxcz/lgb.p',i_0_58) ).
cnf(i_0_21,plain,
( in(esk3_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12qbhxcz/lgb.p',i_0_21) ).
cnf(i_0_14,plain,
( subset(X1,X2)
| in(esk2_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12qbhxcz/lgb.p',i_0_14) ).
cnf(i_0_10,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3))
| ~ in(apply(X3,X1),X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12qbhxcz/lgb.p',i_0_10) ).
cnf(i_0_61,negated_conjecture,
relation(esk19_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12qbhxcz/lgb.p',i_0_61) ).
cnf(i_0_60,negated_conjecture,
function(esk19_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12qbhxcz/lgb.p',i_0_60) ).
cnf(i_0_20,plain,
( apply(X1,esk3_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12qbhxcz/lgb.p',i_0_20) ).
cnf(i_0_59,negated_conjecture,
subset(relation_inverse_image(esk19_0,esk17_0),relation_inverse_image(esk19_0,esk18_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12qbhxcz/lgb.p',i_0_59) ).
cnf(i_0_11,plain,
( in(apply(X1,X2),X3)
| X4 != relation_inverse_image(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12qbhxcz/lgb.p',i_0_11) ).
cnf(i_0_13,plain,
( subset(X1,X2)
| ~ in(esk2_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12qbhxcz/lgb.p',i_0_13) ).
cnf(i_0_57,negated_conjecture,
~ subset(esk17_0,esk18_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-12qbhxcz/lgb.p',i_0_57) ).
cnf(c_0_74,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_15 ).
cnf(c_0_75,negated_conjecture,
subset(esk17_0,relation_rng(esk19_0)),
i_0_58 ).
cnf(c_0_76,plain,
( in(esk3_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_21 ).
cnf(c_0_77,negated_conjecture,
( in(X1,relation_rng(esk19_0))
| ~ in(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_78,plain,
( subset(X1,X2)
| in(esk2_2(X1,X2),X1) ),
i_0_14 ).
cnf(c_0_79,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3))
| ~ in(apply(X3,X1),X4) ),
i_0_10 ).
cnf(c_0_80,plain,
( in(esk3_3(X1,relation_rng(X1),X2),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[c_0_76]) ).
cnf(c_0_81,plain,
( in(esk2_2(esk17_0,X1),relation_rng(esk19_0))
| subset(esk17_0,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_82,negated_conjecture,
relation(esk19_0),
i_0_61 ).
cnf(c_0_83,negated_conjecture,
function(esk19_0),
i_0_60 ).
cnf(c_0_84,plain,
( apply(X1,esk3_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_20 ).
cnf(c_0_85,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ function(X2)
| ~ in(apply(X2,X1),X3)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[c_0_79]) ).
cnf(c_0_86,plain,
( in(esk3_3(esk19_0,relation_rng(esk19_0),esk2_2(esk17_0,X1)),relation_dom(esk19_0))
| subset(esk17_0,X1) ),
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_87,plain,
( apply(X1,esk3_3(X1,relation_rng(X1),X2)) = X2
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[c_0_84]) ).
cnf(c_0_88,plain,
( in(esk3_3(esk19_0,relation_rng(esk19_0),esk2_2(esk17_0,X1)),relation_inverse_image(esk19_0,X2))
| subset(esk17_0,X1)
| ~ in(apply(esk19_0,esk3_3(esk19_0,relation_rng(esk19_0),esk2_2(esk17_0,X1))),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_82]),c_0_83])]) ).
cnf(c_0_89,plain,
( apply(esk19_0,esk3_3(esk19_0,relation_rng(esk19_0),esk2_2(esk17_0,X1))) = esk2_2(esk17_0,X1)
| subset(esk17_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_81]),c_0_82]),c_0_83])]) ).
cnf(c_0_90,negated_conjecture,
subset(relation_inverse_image(esk19_0,esk17_0),relation_inverse_image(esk19_0,esk18_0)),
i_0_59 ).
cnf(c_0_91,plain,
( in(esk3_3(esk19_0,relation_rng(esk19_0),esk2_2(esk17_0,X1)),relation_inverse_image(esk19_0,X2))
| subset(esk17_0,X1)
| ~ in(esk2_2(esk17_0,X1),X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_92,plain,
( in(apply(X1,X2),X3)
| X4 != relation_inverse_image(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X4) ),
i_0_11 ).
cnf(c_0_93,negated_conjecture,
( in(X1,relation_inverse_image(esk19_0,esk18_0))
| ~ in(X1,relation_inverse_image(esk19_0,esk17_0)) ),
inference(spm,[status(thm)],[c_0_74,c_0_90]) ).
cnf(c_0_94,plain,
( in(esk3_3(esk19_0,relation_rng(esk19_0),esk2_2(esk17_0,X1)),relation_inverse_image(esk19_0,esk17_0))
| subset(esk17_0,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_78]) ).
cnf(c_0_95,plain,
( in(apply(X1,X2),X3)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_inverse_image(X1,X3)) ),
inference(er,[status(thm)],[c_0_92]) ).
cnf(c_0_96,negated_conjecture,
( in(esk3_3(esk19_0,relation_rng(esk19_0),esk2_2(esk17_0,X1)),relation_inverse_image(esk19_0,esk18_0))
| subset(esk17_0,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_97,plain,
( in(apply(esk19_0,esk3_3(esk19_0,relation_rng(esk19_0),esk2_2(esk17_0,X1))),esk18_0)
| subset(esk17_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_82]),c_0_83])]) ).
cnf(c_0_98,plain,
( subset(X1,X2)
| ~ in(esk2_2(X1,X2),X2) ),
i_0_13 ).
cnf(c_0_99,plain,
( in(esk2_2(esk17_0,X1),esk18_0)
| subset(esk17_0,X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_89]) ).
cnf(c_0_100,negated_conjecture,
~ subset(esk17_0,esk18_0),
i_0_57 ).
cnf(c_0_101,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU077+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n026.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 : Sun Jun 19 19:44:27 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.43 # ENIGMATIC: Selected complete mode:
% 7.40/2.23 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.40/2.23 # No SInE strategy applied
% 7.40/2.23 # Trying AutoSched0 for 150 seconds
% 7.40/2.23 # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 7.40/2.23 # and selection function SelectNewComplexAHPNS.
% 7.40/2.23 #
% 7.40/2.23 # Preprocessing time : 0.024 s
% 7.40/2.23
% 7.40/2.23 # Proof found!
% 7.40/2.23 # SZS status Theorem
% 7.40/2.23 # SZS output start CNFRefutation
% See solution above
% 7.40/2.23 # Training examples: 0 positive, 0 negative
% 7.40/2.23
% 7.40/2.23 # -------------------------------------------------
% 7.40/2.23 # User time : 0.037 s
% 7.40/2.23 # System time : 0.003 s
% 7.40/2.23 # Total time : 0.040 s
% 7.40/2.23 # Maximum resident set size: 7128 pages
% 7.40/2.23
%------------------------------------------------------------------------------