TSTP Solution File: SEU226+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU226+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n012.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 08:39:47 EDT 2022
% Result : Theorem 8.69s 2.46s
% Output : CNFRefutation 8.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 8 unt; 4 nHn; 19 RR)
% Number of literals : 74 ( 13 equ; 48 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-4 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_19,plain,
( in(apply(X1,X2),X3)
| X4 != relation_inverse_image(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_4hvv2z5/input.p',i_0_19) ).
cnf(i_0_12,plain,
( apply(X1,esk1_4(X1,X2,X3,X4)) = X4
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_4hvv2z5/input.p',i_0_12) ).
cnf(i_0_13,plain,
( in(esk1_4(X1,X2,X3,X4),X2)
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_4hvv2z5/input.p',i_0_13) ).
cnf(i_0_22,plain,
( subset(X1,X2)
| in(esk5_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_4hvv2z5/input.p',i_0_22) ).
cnf(i_0_58,negated_conjecture,
relation(esk18_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_4hvv2z5/input.p',i_0_58) ).
cnf(i_0_57,negated_conjecture,
function(esk18_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_4hvv2z5/input.p',i_0_57) ).
cnf(i_0_21,plain,
( subset(X1,X2)
| ~ in(esk5_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_4hvv2z5/input.p',i_0_21) ).
cnf(i_0_56,negated_conjecture,
~ subset(relation_image(esk18_0,relation_inverse_image(esk18_0,esk17_0)),esk17_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_4hvv2z5/input.p',i_0_56) ).
cnf(c_0_67,plain,
( in(apply(X1,X2),X3)
| X4 != relation_inverse_image(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X4) ),
i_0_19 ).
cnf(c_0_68,plain,
( apply(X1,esk1_4(X1,X2,X3,X4)) = X4
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_12 ).
cnf(c_0_69,plain,
( in(X1,X2)
| X3 != relation_inverse_image(X4,X2)
| X5 != relation_image(X4,X6)
| ~ in(esk1_4(X4,X6,X5,X1),X3)
| ~ in(X1,X5)
| ~ relation(X4)
| ~ function(X4) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_70,plain,
( in(esk1_4(X1,X2,X3,X4),X2)
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_13 ).
cnf(c_0_71,plain,
( in(X1,X2)
| X3 != relation_inverse_image(X4,X2)
| X5 != relation_image(X4,X3)
| ~ in(X1,X5)
| ~ relation(X4)
| ~ function(X4) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_72,plain,
( in(X1,X2)
| X3 != relation_image(X4,relation_inverse_image(X4,X2))
| ~ in(X1,X3)
| ~ relation(X4)
| ~ function(X4) ),
inference(er,[status(thm)],[c_0_71]) ).
cnf(c_0_73,plain,
( in(X1,X2)
| ~ in(X1,relation_image(X3,relation_inverse_image(X3,X2)))
| ~ relation(X3)
| ~ function(X3) ),
inference(er,[status(thm)],[c_0_72]) ).
cnf(c_0_74,plain,
( subset(X1,X2)
| in(esk5_2(X1,X2),X1) ),
i_0_22 ).
cnf(c_0_75,plain,
( in(esk5_2(relation_image(X1,relation_inverse_image(X1,X2)),X3),X2)
| subset(relation_image(X1,relation_inverse_image(X1,X2)),X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_76,negated_conjecture,
relation(esk18_0),
i_0_58 ).
cnf(c_0_77,negated_conjecture,
function(esk18_0),
i_0_57 ).
cnf(c_0_78,plain,
( subset(X1,X2)
| ~ in(esk5_2(X1,X2),X2) ),
i_0_21 ).
cnf(c_0_79,negated_conjecture,
( in(esk5_2(relation_image(esk18_0,relation_inverse_image(esk18_0,X1)),X2),X1)
| subset(relation_image(esk18_0,relation_inverse_image(esk18_0,X1)),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).
cnf(c_0_80,negated_conjecture,
~ subset(relation_image(esk18_0,relation_inverse_image(esk18_0,esk17_0)),esk17_0),
i_0_56 ).
cnf(c_0_81,plain,
subset(relation_image(esk18_0,relation_inverse_image(esk18_0,X1)),X1),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_82,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU226+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n012.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 09:30:39 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected complete mode:
% 8.69/2.46 # ENIGMATIC: Solved by autoschedule:
% 8.69/2.46 # No SInE strategy applied
% 8.69/2.46 # Trying AutoSched0 for 150 seconds
% 8.69/2.46 # AutoSched0-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S04BN
% 8.69/2.46 # and selection function PSelectComplexExceptUniqMaxHorn.
% 8.69/2.46 #
% 8.69/2.46 # Preprocessing time : 0.024 s
% 8.69/2.46
% 8.69/2.46 # Proof found!
% 8.69/2.46 # SZS status Theorem
% 8.69/2.46 # SZS output start CNFRefutation
% See solution above
% 8.69/2.46 # Training examples: 0 positive, 0 negative
% 8.69/2.46
% 8.69/2.46 # -------------------------------------------------
% 8.69/2.46 # User time : 0.059 s
% 8.69/2.46 # System time : 0.003 s
% 8.69/2.46 # Total time : 0.062 s
% 8.69/2.46 # Maximum resident set size: 7120 pages
% 8.69/2.46
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