TSTP Solution File: SEU159+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU159+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n009.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 08:38:59 EDT 2022
% Result : Theorem 9.50s 2.50s
% Output : CNFRefutation 9.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 33 ( 9 unt; 12 nHn; 29 RR)
% Number of literals : 72 ( 19 equ; 33 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_41,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yb2q4ecx/input.p',i_0_41) ).
cnf(i_0_125,negated_conjecture,
( in(esk20_0,esk22_0)
| subset(unordered_pair(esk20_0,esk21_0),esk22_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yb2q4ecx/input.p',i_0_125) ).
cnf(i_0_23,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_pair(X3,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yb2q4ecx/input.p',i_0_23) ).
cnf(i_0_124,negated_conjecture,
( in(esk21_0,esk22_0)
| subset(unordered_pair(esk20_0,esk21_0),esk22_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yb2q4ecx/input.p',i_0_124) ).
cnf(i_0_22,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_pair(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yb2q4ecx/input.p',i_0_22) ).
cnf(i_0_126,negated_conjecture,
( ~ in(esk20_0,esk22_0)
| ~ in(esk21_0,esk22_0)
| ~ subset(unordered_pair(esk20_0,esk21_0),esk22_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yb2q4ecx/input.p',i_0_126) ).
cnf(i_0_39,plain,
( subset(X1,X2)
| ~ in(esk11_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yb2q4ecx/input.p',i_0_39) ).
cnf(i_0_24,plain,
( X1 = X2
| X1 = X3
| X4 != unordered_pair(X3,X2)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yb2q4ecx/input.p',i_0_24) ).
cnf(i_0_40,plain,
( subset(X1,X2)
| in(esk11_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yb2q4ecx/input.p',i_0_40) ).
cnf(c_0_136,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_41 ).
cnf(c_0_137,negated_conjecture,
( in(esk20_0,esk22_0)
| subset(unordered_pair(esk20_0,esk21_0),esk22_0) ),
i_0_125 ).
cnf(c_0_138,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_pair(X3,X4) ),
i_0_23 ).
cnf(c_0_139,negated_conjecture,
( in(esk20_0,esk22_0)
| in(X1,esk22_0)
| ~ in(X1,unordered_pair(esk20_0,esk21_0)) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_140,plain,
in(X1,unordered_pair(X1,X2)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_138])]) ).
cnf(c_0_141,negated_conjecture,
( in(esk21_0,esk22_0)
| subset(unordered_pair(esk20_0,esk21_0),esk22_0) ),
i_0_124 ).
cnf(c_0_142,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_pair(X4,X3) ),
i_0_22 ).
cnf(c_0_143,negated_conjecture,
( ~ in(esk20_0,esk22_0)
| ~ in(esk21_0,esk22_0)
| ~ subset(unordered_pair(esk20_0,esk21_0),esk22_0) ),
i_0_126 ).
cnf(c_0_144,plain,
in(esk20_0,esk22_0),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_145,negated_conjecture,
( in(esk21_0,esk22_0)
| in(X1,esk22_0)
| ~ in(X1,unordered_pair(esk20_0,esk21_0)) ),
inference(spm,[status(thm)],[c_0_136,c_0_141]) ).
cnf(c_0_146,plain,
in(X1,unordered_pair(X2,X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_142])]) ).
cnf(c_0_147,negated_conjecture,
( ~ in(esk21_0,esk22_0)
| ~ subset(unordered_pair(esk20_0,esk21_0),esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_144])]) ).
cnf(c_0_148,plain,
in(esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_149,plain,
( subset(X1,X2)
| ~ in(esk11_2(X1,X2),X2) ),
i_0_39 ).
cnf(c_0_150,plain,
( X1 = X2
| X1 = X3
| X4 != unordered_pair(X3,X2)
| ~ in(X1,X4) ),
i_0_24 ).
cnf(c_0_151,negated_conjecture,
~ subset(unordered_pair(esk20_0,esk21_0),esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148])]) ).
cnf(c_0_152,plain,
( subset(X1,X2)
| in(esk11_2(X1,X2),X1) ),
i_0_40 ).
cnf(c_0_153,plain,
( ~ in(esk11_2(unordered_pair(esk20_0,esk21_0),esk22_0),esk22_0)
| ~ in(esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_147,c_0_149]) ).
cnf(c_0_154,plain,
( X1 = X2
| X1 = X3
| ~ in(X1,unordered_pair(X2,X3)) ),
inference(er,[status(thm)],[c_0_150]) ).
cnf(c_0_155,negated_conjecture,
in(esk11_2(unordered_pair(esk20_0,esk21_0),esk22_0),unordered_pair(esk20_0,esk21_0)),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_156,plain,
~ in(esk11_2(unordered_pair(esk20_0,esk21_0),esk22_0),esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_148])]) ).
cnf(c_0_157,negated_conjecture,
( esk11_2(unordered_pair(esk20_0,esk21_0),esk22_0) = esk20_0
| esk11_2(unordered_pair(esk20_0,esk21_0),esk22_0) = esk21_0 ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_158,plain,
esk11_2(unordered_pair(esk20_0,esk21_0),esk22_0) = esk20_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_148])]) ).
cnf(c_0_159,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_158]),c_0_144])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU159+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n009.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 07:04:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected complete mode:
% 9.50/2.50 # ENIGMATIC: Solved by autoschedule:
% 9.50/2.50 # No SInE strategy applied
% 9.50/2.50 # Trying AutoSched0 for 150 seconds
% 9.50/2.50 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 9.50/2.50 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.50/2.50 #
% 9.50/2.50 # Preprocessing time : 0.026 s
% 9.50/2.50 # Presaturation interreduction done
% 9.50/2.50
% 9.50/2.50 # Proof found!
% 9.50/2.50 # SZS status Theorem
% 9.50/2.50 # SZS output start CNFRefutation
% See solution above
% 9.50/2.50 # Training examples: 0 positive, 0 negative
% 9.50/2.50
% 9.50/2.50 # -------------------------------------------------
% 9.50/2.50 # User time : 0.048 s
% 9.50/2.50 # System time : 0.014 s
% 9.50/2.50 # Total time : 0.062 s
% 9.50/2.50 # Maximum resident set size: 7120 pages
% 9.50/2.50
%------------------------------------------------------------------------------