TSTP Solution File: SEU293+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU293+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 08:40:29 EDT 2022
% Result : Theorem 7.72s 2.33s
% Output : CNFRefutation 7.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of clauses : 42 ( 12 unt; 6 nHn; 42 RR)
% Number of literals : 106 ( 17 equ; 64 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 66 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_19,plain,
( X1 = empty_set
| relation_dom_as_subset(X2,X1,X3) = X2
| ~ relation_of2_as_subset(X3,X2,X1)
| ~ quasi_total(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47523x61/lgb.p',i_0_19) ).
cnf(i_0_90,negated_conjecture,
relation_of2_as_subset(esk22_0,esk19_0,esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47523x61/lgb.p',i_0_90) ).
cnf(i_0_91,negated_conjecture,
quasi_total(esk22_0,esk19_0,esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47523x61/lgb.p',i_0_91) ).
cnf(i_0_89,negated_conjecture,
esk20_0 != empty_set,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47523x61/lgb.p',i_0_89) ).
cnf(i_0_78,plain,
( relation_dom_as_subset(X1,X2,X3) = relation_dom(X3)
| ~ relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47523x61/lgb.p',i_0_78) ).
cnf(i_0_11,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/sandbox2/tmp/enigma-theBenchmark.p-47523x61/lgb.p',i_0_11) ).
cnf(i_0_80,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47523x61/lgb.p',i_0_80) ).
cnf(i_0_12,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-47523x61/lgb.p',i_0_12) ).
cnf(i_0_13,plain,
( in(X1,relation_dom(X2))
| X3 != relation_inverse_image(X2,X4)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47523x61/lgb.p',i_0_13) ).
cnf(i_0_86,negated_conjecture,
( in(esk23_0,relation_inverse_image(esk22_0,esk21_0))
| in(apply(esk22_0,esk23_0),esk21_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47523x61/lgb.p',i_0_86) ).
cnf(i_0_92,negated_conjecture,
function(esk22_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47523x61/lgb.p',i_0_92) ).
cnf(i_0_87,negated_conjecture,
( in(esk23_0,esk19_0)
| in(esk23_0,relation_inverse_image(esk22_0,esk21_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47523x61/lgb.p',i_0_87) ).
cnf(i_0_88,negated_conjecture,
( ~ in(esk23_0,esk19_0)
| ~ in(esk23_0,relation_inverse_image(esk22_0,esk21_0))
| ~ in(apply(esk22_0,esk23_0),esk21_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47523x61/lgb.p',i_0_88) ).
cnf(i_0_4,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47523x61/lgb.p',i_0_4) ).
cnf(i_0_29,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47523x61/lgb.p',i_0_29) ).
cnf(c_0_108,plain,
( X1 = empty_set
| relation_dom_as_subset(X2,X1,X3) = X2
| ~ relation_of2_as_subset(X3,X2,X1)
| ~ quasi_total(X3,X2,X1) ),
i_0_19 ).
cnf(c_0_109,negated_conjecture,
relation_of2_as_subset(esk22_0,esk19_0,esk20_0),
i_0_90 ).
cnf(c_0_110,negated_conjecture,
quasi_total(esk22_0,esk19_0,esk20_0),
i_0_91 ).
cnf(c_0_111,negated_conjecture,
esk20_0 != empty_set,
i_0_89 ).
cnf(c_0_112,plain,
( relation_dom_as_subset(X1,X2,X3) = relation_dom(X3)
| ~ relation_of2(X3,X1,X2) ),
i_0_78 ).
cnf(c_0_113,negated_conjecture,
relation_dom_as_subset(esk19_0,esk20_0,esk22_0) = esk19_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110])]),c_0_111]) ).
cnf(c_0_114,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_11 ).
cnf(c_0_115,plain,
( relation_dom(esk22_0) = esk19_0
| ~ relation_of2(esk22_0,esk19_0,esk20_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_116,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_80 ).
cnf(c_0_117,plain,
( in(apply(X1,X2),X3)
| X4 != relation_inverse_image(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X4) ),
i_0_12 ).
cnf(c_0_118,plain,
( in(X1,relation_dom(X2))
| X3 != relation_inverse_image(X2,X4)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
i_0_13 ).
cnf(c_0_119,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_114]) ).
cnf(c_0_120,negated_conjecture,
( in(esk23_0,relation_inverse_image(esk22_0,esk21_0))
| in(apply(esk22_0,esk23_0),esk21_0) ),
i_0_86 ).
cnf(c_0_121,negated_conjecture,
function(esk22_0),
i_0_92 ).
cnf(c_0_122,plain,
relation_dom(esk22_0) = esk19_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_109])]) ).
cnf(c_0_123,negated_conjecture,
( in(esk23_0,esk19_0)
| in(esk23_0,relation_inverse_image(esk22_0,esk21_0)) ),
i_0_87 ).
cnf(c_0_124,negated_conjecture,
( ~ in(esk23_0,esk19_0)
| ~ in(esk23_0,relation_inverse_image(esk22_0,esk21_0))
| ~ in(apply(esk22_0,esk23_0),esk21_0) ),
i_0_88 ).
cnf(c_0_125,plain,
( in(apply(X1,X2),X3)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_inverse_image(X1,X3)) ),
inference(er,[status(thm)],[c_0_117]) ).
cnf(c_0_126,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(er,[status(thm)],[c_0_118]) ).
cnf(c_0_127,negated_conjecture,
( in(esk23_0,relation_inverse_image(esk22_0,esk21_0))
| ~ relation(esk22_0) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121])]),c_0_122]),c_0_123]) ).
cnf(c_0_128,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
i_0_4 ).
cnf(c_0_129,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_29 ).
cnf(c_0_130,negated_conjecture,
( ~ relation(esk22_0)
| ~ in(esk23_0,relation_inverse_image(esk22_0,esk21_0))
| ~ in(esk23_0,esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_121])]) ).
cnf(c_0_131,plain,
( in(esk23_0,esk19_0)
| ~ relation(esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_122]),c_0_121])]) ).
cnf(c_0_132,plain,
( relation(X1)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_133,negated_conjecture,
~ relation(esk22_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_127]),c_0_131]) ).
cnf(c_0_134,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_109]),c_0_133]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU293+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 13:04:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.72/2.33 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.72/2.33 # No SInE strategy applied
% 7.72/2.33 # Trying AutoSched0 for 150 seconds
% 7.72/2.33 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 7.72/2.33 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.72/2.33 #
% 7.72/2.33 # Preprocessing time : 0.013 s
% 7.72/2.33 # Presaturation interreduction done
% 7.72/2.33
% 7.72/2.33 # Proof found!
% 7.72/2.33 # SZS status Theorem
% 7.72/2.33 # SZS output start CNFRefutation
% See solution above
% 7.72/2.33 # Training examples: 0 positive, 0 negative
% 7.72/2.33
% 7.72/2.33 # -------------------------------------------------
% 7.72/2.33 # User time : 0.016 s
% 7.72/2.33 # System time : 0.003 s
% 7.72/2.33 # Total time : 0.020 s
% 7.72/2.33 # Maximum resident set size: 7120 pages
% 7.72/2.33
%------------------------------------------------------------------------------