%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU017+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 08:38:01 EDT 2022
% Result : Theorem 10.44s 2.82s
% Output : CNFRefutation 10.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of clauses : 59 ( 25 unt; 5 nHn; 59 RR)
% Number of literals : 151 ( 37 equ; 94 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 77 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_63,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_63) ).
cnf(i_0_54,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_54) ).
cnf(i_0_56,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_56) ).
cnf(i_0_61,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_61) ).
cnf(i_0_25,plain,
~ empty(powerset(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_25) ).
cnf(i_0_7,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-q3r_2e2o/lgb.p',i_0_7) ).
cnf(i_0_58,plain,
( X1 = identity_relation(X2)
| in(esk15_2(X2,X1),X2)
| relation_dom(X1) != X2
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_58) ).
cnf(i_0_68,negated_conjecture,
relation_dom(esk18_0) = esk16_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_68) ).
cnf(i_0_71,negated_conjecture,
relation(esk18_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_71) ).
cnf(i_0_70,negated_conjecture,
function(esk18_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_70) ).
cnf(i_0_64,negated_conjecture,
identity_relation(esk16_0) != esk18_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_64) ).
cnf(i_0_67,negated_conjecture,
subset(relation_rng(esk18_0),esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_67) ).
cnf(i_0_76,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_76) ).
cnf(i_0_14,plain,
( X1 = X2
| apply(X3,X1) != apply(X3,X2)
| ~ function(X3)
| ~ relation(X3)
| ~ one_to_one(X3)
| ~ in(X2,relation_dom(X3))
| ~ in(X1,relation_dom(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_14) ).
cnf(i_0_69,negated_conjecture,
relation_dom(esk17_0) = esk16_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_69) ).
cnf(i_0_66,negated_conjecture,
one_to_one(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_66) ).
cnf(i_0_73,negated_conjecture,
relation(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_73) ).
cnf(i_0_72,negated_conjecture,
function(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_72) ).
cnf(i_0_55,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(X3,relation_dom(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_55) ).
cnf(i_0_65,negated_conjecture,
relation_composition(esk18_0,esk17_0) = esk17_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_65) ).
cnf(i_0_57,plain,
( X1 = identity_relation(X2)
| relation_dom(X1) != X2
| apply(X1,esk15_2(X2,X1)) != esk15_2(X2,X1)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q3r_2e2o/lgb.p',i_0_57) ).
cnf(c_0_98,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_63 ).
cnf(c_0_99,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
i_0_54 ).
cnf(c_0_100,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_56 ).
cnf(c_0_101,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
i_0_61 ).
cnf(c_0_102,plain,
~ empty(powerset(X1)),
i_0_25 ).
cnf(c_0_103,plain,
( element(X1,X2)
| ~ in(X3,powerset(X2))
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_104,plain,
( in(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).
cnf(c_0_105,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| X1 != apply(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X4,relation_dom(X3)) ),
i_0_7 ).
cnf(c_0_106,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_107,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_105])]) ).
cnf(c_0_108,plain,
( X1 = identity_relation(X2)
| in(esk15_2(X2,X1),X2)
| relation_dom(X1) != X2
| ~ function(X1)
| ~ relation(X1) ),
i_0_58 ).
cnf(c_0_109,plain,
( element(apply(X1,X2),X3)
| ~ in(X2,relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ subset(relation_rng(X1),X3) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_110,negated_conjecture,
relation_dom(esk18_0) = esk16_0,
i_0_68 ).
cnf(c_0_111,negated_conjecture,
relation(esk18_0),
i_0_71 ).
cnf(c_0_112,negated_conjecture,
function(esk18_0),
i_0_70 ).
cnf(c_0_113,plain,
( identity_relation(relation_dom(X1)) = X1
| in(esk15_2(relation_dom(X1),X1),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[c_0_108]) ).
cnf(c_0_114,negated_conjecture,
identity_relation(esk16_0) != esk18_0,
i_0_64 ).
cnf(c_0_115,negated_conjecture,
( element(apply(esk18_0,X1),X2)
| ~ in(X1,esk16_0)
| ~ subset(relation_rng(esk18_0),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]),c_0_112])]) ).
cnf(c_0_116,negated_conjecture,
subset(relation_rng(esk18_0),esk16_0),
i_0_67 ).
cnf(c_0_117,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
i_0_76 ).
cnf(c_0_118,negated_conjecture,
in(esk15_2(esk16_0,esk18_0),esk16_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_111]),c_0_110]),c_0_110]),c_0_110]),c_0_112])]),c_0_114]) ).
cnf(c_0_119,plain,
( X1 = X2
| apply(X3,X1) != apply(X3,X2)
| ~ function(X3)
| ~ relation(X3)
| ~ one_to_one(X3)
| ~ in(X2,relation_dom(X3))
| ~ in(X1,relation_dom(X3)) ),
i_0_14 ).
cnf(c_0_120,negated_conjecture,
relation_dom(esk17_0) = esk16_0,
i_0_69 ).
cnf(c_0_121,negated_conjecture,
one_to_one(esk17_0),
i_0_66 ).
cnf(c_0_122,negated_conjecture,
relation(esk17_0),
i_0_73 ).
cnf(c_0_123,negated_conjecture,
function(esk17_0),
i_0_72 ).
cnf(c_0_124,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(X3,relation_dom(X1)) ),
i_0_55 ).
cnf(c_0_125,negated_conjecture,
relation_composition(esk18_0,esk17_0) = esk17_0,
i_0_65 ).
cnf(c_0_126,negated_conjecture,
( element(apply(esk18_0,X1),esk16_0)
| ~ in(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_127,plain,
~ empty(esk16_0),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_128,negated_conjecture,
( X1 = X2
| apply(esk17_0,X1) != apply(esk17_0,X2)
| ~ in(X2,esk16_0)
| ~ in(X1,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_129,negated_conjecture,
( apply(esk17_0,apply(esk18_0,X1)) = apply(esk17_0,X1)
| ~ in(X1,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_110]),c_0_122]),c_0_111]),c_0_123]),c_0_112])]) ).
cnf(c_0_130,plain,
( in(apply(esk18_0,X1),esk16_0)
| ~ in(X1,esk16_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_126]),c_0_127]) ).
cnf(c_0_131,plain,
( X1 = identity_relation(X2)
| relation_dom(X1) != X2
| apply(X1,esk15_2(X2,X1)) != esk15_2(X2,X1)
| ~ function(X1)
| ~ relation(X1) ),
i_0_57 ).
cnf(c_0_132,negated_conjecture,
( apply(esk18_0,X1) = X2
| apply(esk17_0,X1) != apply(esk17_0,X2)
| ~ in(X2,esk16_0)
| ~ in(X1,esk16_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]) ).
cnf(c_0_133,plain,
( identity_relation(relation_dom(X1)) = X1
| apply(X1,esk15_2(relation_dom(X1),X1)) != esk15_2(relation_dom(X1),X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[c_0_131]) ).
cnf(c_0_134,negated_conjecture,
( apply(esk18_0,X1) = X1
| ~ in(X1,esk16_0) ),
inference(er,[status(thm)],[c_0_132]) ).
cnf(c_0_135,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_110]),c_0_111]),c_0_112]),c_0_110]),c_0_118])]),c_0_114]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU017+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 07:02:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 10.44/2.82 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.44/2.82 # No SInE strategy applied
% 10.44/2.82 # Trying AutoSched0 for 150 seconds
% 10.44/2.82 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 10.44/2.82 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.44/2.82 #
% 10.44/2.82 # Preprocessing time : 0.025 s
% 10.44/2.82 # Presaturation interreduction done
% 10.44/2.82
% 10.44/2.82 # Proof found!
% 10.44/2.82 # SZS status Theorem
% 10.44/2.82 # SZS output start CNFRefutation
% See solution above
% 10.44/2.82 # Training examples: 0 positive, 0 negative
% 10.44/2.82
% 10.44/2.82 # -------------------------------------------------
% 10.44/2.82 # User time : 0.251 s
% 10.44/2.82 # System time : 0.010 s
% 10.44/2.82 # Total time : 0.260 s
% 10.44/2.82 # Maximum resident set size: 7128 pages
% 10.44/2.82
%------------------------------------------------------------------------------