TSTP Solution File: SEU072+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU072+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 08:38:18 EDT 2022
% Result : Theorem 9.28s 2.70s
% Output : CNFRefutation 9.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 38 ( 15 unt; 11 nHn; 36 RR)
% Number of literals : 95 ( 25 equ; 50 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_58,negated_conjecture,
subset(relation_inverse_image(esk17_0,relation_image(esk17_0,X1)),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gwyf45fa/lgb.p',i_0_58) ).
cnf(i_0_54,plain,
( singleton(apply(X1,X2)) = relation_image(X1,singleton(X2))
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,relation_dom(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gwyf45fa/lgb.p',i_0_54) ).
cnf(i_0_60,negated_conjecture,
relation(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gwyf45fa/lgb.p',i_0_60) ).
cnf(i_0_59,negated_conjecture,
function(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gwyf45fa/lgb.p',i_0_59) ).
cnf(i_0_14,plain,
( apply(X1,esk4_1(X1)) = apply(X1,esk5_1(X1))
| one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gwyf45fa/lgb.p',i_0_14) ).
cnf(i_0_57,negated_conjecture,
~ one_to_one(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gwyf45fa/lgb.p',i_0_57) ).
cnf(i_0_15,plain,
( one_to_one(X1)
| in(esk5_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gwyf45fa/lgb.p',i_0_15) ).
cnf(i_0_65,plain,
( X1 = empty_set
| X1 = singleton(X2)
| ~ subset(X1,singleton(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gwyf45fa/lgb.p',i_0_65) ).
cnf(i_0_16,plain,
( one_to_one(X1)
| in(esk4_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gwyf45fa/lgb.p',i_0_16) ).
cnf(i_0_10,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-gwyf45fa/lgb.p',i_0_10) ).
cnf(i_0_71,plain,
( X1 = X2
| ~ subset(singleton(X1),singleton(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gwyf45fa/lgb.p',i_0_71) ).
cnf(i_0_56,plain,
( relation_inverse_image(X1,singleton(X2)) != empty_set
| ~ relation(X1)
| ~ in(X2,relation_rng(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gwyf45fa/lgb.p',i_0_56) ).
cnf(i_0_13,plain,
( one_to_one(X1)
| esk4_1(X1) != esk5_1(X1)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gwyf45fa/lgb.p',i_0_13) ).
cnf(c_0_85,negated_conjecture,
subset(relation_inverse_image(esk17_0,relation_image(esk17_0,X1)),X1),
i_0_58 ).
cnf(c_0_86,plain,
( singleton(apply(X1,X2)) = relation_image(X1,singleton(X2))
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,relation_dom(X1)) ),
i_0_54 ).
cnf(c_0_87,negated_conjecture,
relation(esk17_0),
i_0_60 ).
cnf(c_0_88,negated_conjecture,
function(esk17_0),
i_0_59 ).
cnf(c_0_89,plain,
( apply(X1,esk4_1(X1)) = apply(X1,esk5_1(X1))
| one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
i_0_14 ).
cnf(c_0_90,negated_conjecture,
~ one_to_one(esk17_0),
i_0_57 ).
cnf(c_0_91,plain,
( one_to_one(X1)
| in(esk5_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_15 ).
cnf(c_0_92,negated_conjecture,
( subset(relation_inverse_image(esk17_0,singleton(apply(esk17_0,X1))),singleton(X1))
| ~ in(X1,relation_dom(esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_88])]) ).
cnf(c_0_93,negated_conjecture,
apply(esk17_0,esk5_1(esk17_0)) = apply(esk17_0,esk4_1(esk17_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_87]),c_0_88])]),c_0_90]) ).
cnf(c_0_94,negated_conjecture,
in(esk5_1(esk17_0),relation_dom(esk17_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_87]),c_0_88])]),c_0_90]) ).
cnf(c_0_95,plain,
( X1 = empty_set
| X1 = singleton(X2)
| ~ subset(X1,singleton(X2)) ),
i_0_65 ).
cnf(c_0_96,negated_conjecture,
subset(relation_inverse_image(esk17_0,singleton(apply(esk17_0,esk4_1(esk17_0)))),singleton(esk5_1(esk17_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94])]) ).
cnf(c_0_97,plain,
( one_to_one(X1)
| in(esk4_1(X1),relation_dom(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_16 ).
cnf(c_0_98,plain,
( relation_inverse_image(esk17_0,singleton(apply(esk17_0,esk4_1(esk17_0)))) = singleton(esk5_1(esk17_0))
| relation_inverse_image(esk17_0,singleton(apply(esk17_0,esk4_1(esk17_0)))) = empty_set ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_99,negated_conjecture,
in(esk4_1(esk17_0),relation_dom(esk17_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_87]),c_0_88])]),c_0_90]) ).
cnf(c_0_100,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| X1 != apply(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X4,relation_dom(X3)) ),
i_0_10 ).
cnf(c_0_101,plain,
( X1 = X2
| ~ subset(singleton(X1),singleton(X2)) ),
i_0_71 ).
cnf(c_0_102,negated_conjecture,
( relation_inverse_image(esk17_0,singleton(apply(esk17_0,esk4_1(esk17_0)))) = empty_set
| subset(singleton(esk5_1(esk17_0)),singleton(esk4_1(esk17_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_98]),c_0_99])]) ).
cnf(c_0_103,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_100])]) ).
cnf(c_0_104,plain,
( relation_inverse_image(X1,singleton(X2)) != empty_set
| ~ relation(X1)
| ~ in(X2,relation_rng(X1)) ),
i_0_56 ).
cnf(c_0_105,plain,
( relation_inverse_image(esk17_0,singleton(apply(esk17_0,esk4_1(esk17_0)))) = empty_set
| esk5_1(esk17_0) = esk4_1(esk17_0) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_106,plain,
in(apply(esk17_0,esk4_1(esk17_0)),relation_rng(esk17_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_93]),c_0_94]),c_0_87]),c_0_88])]) ).
cnf(c_0_107,plain,
( one_to_one(X1)
| esk4_1(X1) != esk5_1(X1)
| ~ function(X1)
| ~ relation(X1) ),
i_0_13 ).
cnf(c_0_108,plain,
esk5_1(esk17_0) = esk4_1(esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]),c_0_87])]) ).
cnf(c_0_109,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_87]),c_0_88])]),c_0_90]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU072+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n010.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 Jun 20 02:41:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 9.28/2.70 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.28/2.70 # No SInE strategy applied
% 9.28/2.70 # Trying AutoSched0 for 150 seconds
% 9.28/2.70 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 9.28/2.70 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.28/2.70 #
% 9.28/2.70 # Preprocessing time : 0.024 s
% 9.28/2.70 # Presaturation interreduction done
% 9.28/2.70
% 9.28/2.70 # Proof found!
% 9.28/2.70 # SZS status Theorem
% 9.28/2.70 # SZS output start CNFRefutation
% See solution above
% 9.28/2.70 # Training examples: 0 positive, 0 negative
% 9.28/2.70
% 9.28/2.70 # -------------------------------------------------
% 9.28/2.70 # User time : 0.147 s
% 9.28/2.70 # System time : 0.011 s
% 9.28/2.70 # Total time : 0.158 s
% 9.28/2.70 # Maximum resident set size: 7128 pages
% 9.28/2.70
%------------------------------------------------------------------------------