TSTP Solution File: SEU417+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU417+1 : TPTP v8.1.0. Released v3.4.0.
% 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 08:42:08 EDT 2022
% Result : Theorem 10.29s 2.81s
% Output : CNFRefutation 10.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 34 ( 11 unt; 0 nHn; 32 RR)
% Number of literals : 88 ( 12 equ; 63 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 68 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_61,plain,
( k8_setfam_1(X1,X2) = k5_subset_1(X1,k8_setfam_1(X1,X3),k8_setfam_1(X1,X4))
| X2 != k4_subset_1(k1_zfmisc_1(X1),X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-27qse74z/lgb.p',i_0_61) ).
cnf(i_0_16,plain,
( m1_subset_1(k4_subset_1(X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-27qse74z/lgb.p',i_0_16) ).
cnf(i_0_1,negated_conjecture,
~ r1_tarski(k5_subset_1(esk1_0,k8_setfam_1(esk1_0,esk2_0),k8_setfam_1(esk1_0,esk3_0)),k8_setfam_1(esk1_0,k1_relset_2(esk1_0,esk2_0,esk3_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-27qse74z/lgb.p',i_0_1) ).
cnf(i_0_2,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-27qse74z/lgb.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-27qse74z/lgb.p',i_0_3) ).
cnf(i_0_45,plain,
( k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-27qse74z/lgb.p',i_0_45) ).
cnf(i_0_46,plain,
( k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-27qse74z/lgb.p',i_0_46) ).
cnf(i_0_44,plain,
( k1_relset_2(X1,X2,X3) = k3_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-27qse74z/lgb.p',i_0_44) ).
cnf(i_0_56,plain,
( r1_tarski(k8_setfam_1(X1,X2),k8_setfam_1(X1,X3))
| ~ r1_tarski(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-27qse74z/lgb.p',i_0_56) ).
cnf(i_0_50,plain,
r1_tarski(k3_xboole_0(X1,X2),k2_xboole_0(X1,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-27qse74z/lgb.p',i_0_50) ).
cnf(i_0_17,plain,
( m1_subset_1(k5_subset_1(X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-27qse74z/lgb.p',i_0_17) ).
cnf(c_0_73,plain,
( k8_setfam_1(X1,X2) = k5_subset_1(X1,k8_setfam_1(X1,X3),k8_setfam_1(X1,X4))
| X2 != k4_subset_1(k1_zfmisc_1(X1),X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
i_0_61 ).
cnf(c_0_74,plain,
( m1_subset_1(k4_subset_1(X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
i_0_16 ).
cnf(c_0_75,negated_conjecture,
~ r1_tarski(k5_subset_1(esk1_0,k8_setfam_1(esk1_0,esk2_0),k8_setfam_1(esk1_0,esk3_0)),k8_setfam_1(esk1_0,k1_relset_2(esk1_0,esk2_0,esk3_0))),
i_0_1 ).
cnf(c_0_76,plain,
( k5_subset_1(X1,k8_setfam_1(X1,X2),k8_setfam_1(X1,X3)) = k8_setfam_1(X1,k4_subset_1(k1_zfmisc_1(X1),X2,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_73]),c_0_74]) ).
cnf(c_0_77,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
i_0_2 ).
cnf(c_0_78,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
i_0_3 ).
cnf(c_0_79,negated_conjecture,
~ r1_tarski(k8_setfam_1(esk1_0,k4_subset_1(k1_zfmisc_1(esk1_0),esk2_0,esk3_0)),k8_setfam_1(esk1_0,k1_relset_2(esk1_0,esk2_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_78])]) ).
cnf(c_0_80,plain,
( k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
i_0_45 ).
cnf(c_0_81,plain,
( k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
i_0_46 ).
cnf(c_0_82,plain,
( k1_relset_2(X1,X2,X3) = k3_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
i_0_44 ).
cnf(c_0_83,plain,
~ r1_tarski(k8_setfam_1(esk1_0,k2_xboole_0(esk2_0,esk3_0)),k8_setfam_1(esk1_0,k1_relset_2(esk1_0,esk2_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_77]),c_0_78])]) ).
cnf(c_0_84,plain,
( k5_subset_1(X1,X2,X3) = k1_relset_2(X4,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X4)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X4)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_85,plain,
( ~ m1_subset_1(esk3_0,k1_zfmisc_1(X1))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ r1_tarski(k8_setfam_1(esk1_0,k2_xboole_0(esk2_0,esk3_0)),k8_setfam_1(esk1_0,k5_subset_1(X1,esk2_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_77]),c_0_78])]) ).
cnf(c_0_86,plain,
( ~ m1_subset_1(esk3_0,k1_zfmisc_1(X1))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ r1_tarski(k8_setfam_1(esk1_0,k2_xboole_0(esk2_0,esk3_0)),k8_setfam_1(esk1_0,k3_xboole_0(esk2_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_85,c_0_81]) ).
cnf(c_0_87,plain,
( r1_tarski(k8_setfam_1(X1,X2),k8_setfam_1(X1,X3))
| ~ r1_tarski(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
i_0_56 ).
cnf(c_0_88,plain,
r1_tarski(k3_xboole_0(X1,X2),k2_xboole_0(X1,X3)),
i_0_50 ).
cnf(c_0_89,plain,
( m1_subset_1(k5_subset_1(X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
i_0_17 ).
cnf(c_0_90,plain,
( ~ m1_subset_1(k3_xboole_0(esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
| ~ m1_subset_1(k2_xboole_0(esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(X1))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).
cnf(c_0_91,plain,
( m1_subset_1(k3_xboole_0(X1,X2),k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_89,c_0_81]) ).
cnf(c_0_92,plain,
( ~ m1_subset_1(k2_xboole_0(esk2_0,esk3_0),k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(X1))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_77]),c_0_78])]) ).
cnf(c_0_93,plain,
( m1_subset_1(k2_xboole_0(X1,X2),k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_74,c_0_80]) ).
cnf(c_0_94,plain,
( ~ m1_subset_1(esk3_0,k1_zfmisc_1(X1))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_77]),c_0_78])]) ).
cnf(c_0_95,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_77]),c_0_78])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU417+1 : TPTP v8.1.0. Released v3.4.0.
% 0.15/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sun Jun 19 21:22:39 EDT 2022
% 0.22/0.36 % CPUTime :
% 0.22/0.47 # ENIGMATIC: Selected complete mode:
% 10.29/2.81 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.29/2.81 # No SInE strategy applied
% 10.29/2.81 # Trying AutoSched0 for 150 seconds
% 10.29/2.81 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.29/2.81 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.29/2.81 #
% 10.29/2.81 # Preprocessing time : 0.021 s
% 10.29/2.81 # Presaturation interreduction done
% 10.29/2.81
% 10.29/2.81 # Proof found!
% 10.29/2.81 # SZS status Theorem
% 10.29/2.81 # SZS output start CNFRefutation
% See solution above
% 10.29/2.81 # Training examples: 0 positive, 0 negative
% 10.29/2.81
% 10.29/2.81 # -------------------------------------------------
% 10.29/2.81 # User time : 0.042 s
% 10.29/2.81 # System time : 0.006 s
% 10.29/2.81 # Total time : 0.049 s
% 10.29/2.81 # Maximum resident set size: 7120 pages
% 10.29/2.81
%------------------------------------------------------------------------------