%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU348+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 08:41:02 EDT 2022
% Result : Theorem 4.36s 2.10s
% Output : CNFRefutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 14 unt; 13 nHn; 32 RR)
% Number of literals : 84 ( 6 equ; 45 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_15,plain,
( cast_to_el_of_lattice(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zd6c8ivn/lgb.p',i_0_15) ).
cnf(i_0_102,negated_conjecture,
element(esk19_0,the_carrier(poset_of_lattice(esk18_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zd6c8ivn/lgb.p',i_0_102) ).
cnf(i_0_104,negated_conjecture,
lattice(esk18_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zd6c8ivn/lgb.p',i_0_104) ).
cnf(i_0_103,negated_conjecture,
latt_str(esk18_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zd6c8ivn/lgb.p',i_0_103) ).
cnf(i_0_105,negated_conjecture,
~ empty_carrier(esk18_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zd6c8ivn/lgb.p',i_0_105) ).
cnf(i_0_32,plain,
( empty_carrier(X1)
| element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zd6c8ivn/lgb.p',i_0_32) ).
cnf(i_0_14,plain,
( cast_to_el_of_LattPOSet(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zd6c8ivn/lgb.p',i_0_14) ).
cnf(i_0_98,plain,
( empty_carrier(X1)
| latt_set_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1))
| ~ relstr_element_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zd6c8ivn/lgb.p',i_0_98) ).
cnf(i_0_100,negated_conjecture,
( relstr_element_smaller(poset_of_lattice(esk18_0),esk17_0,esk19_0)
| latt_set_smaller(esk18_0,cast_to_el_of_lattice(esk18_0,esk19_0),esk17_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zd6c8ivn/lgb.p',i_0_100) ).
cnf(i_0_101,negated_conjecture,
( ~ relstr_element_smaller(poset_of_lattice(esk18_0),esk17_0,esk19_0)
| ~ latt_set_smaller(esk18_0,cast_to_el_of_lattice(esk18_0,esk19_0),esk17_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zd6c8ivn/lgb.p',i_0_101) ).
cnf(i_0_99,plain,
( empty_carrier(X1)
| relstr_element_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ latt_set_smaller(X1,X3,X2)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zd6c8ivn/lgb.p',i_0_99) ).
cnf(c_0_117,plain,
( cast_to_el_of_lattice(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
i_0_15 ).
cnf(c_0_118,negated_conjecture,
element(esk19_0,the_carrier(poset_of_lattice(esk18_0))),
i_0_102 ).
cnf(c_0_119,negated_conjecture,
lattice(esk18_0),
i_0_104 ).
cnf(c_0_120,negated_conjecture,
latt_str(esk18_0),
i_0_103 ).
cnf(c_0_121,negated_conjecture,
~ empty_carrier(esk18_0),
i_0_105 ).
cnf(c_0_122,plain,
( empty_carrier(X1)
| element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
i_0_32 ).
cnf(c_0_123,negated_conjecture,
cast_to_el_of_lattice(esk18_0,esk19_0) = esk19_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_120])]),c_0_121]) ).
cnf(c_0_124,plain,
( cast_to_el_of_LattPOSet(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_14 ).
cnf(c_0_125,negated_conjecture,
element(esk19_0,the_carrier(esk18_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_118]),c_0_119]),c_0_120])]),c_0_121]),c_0_123]) ).
cnf(c_0_126,plain,
( empty_carrier(X1)
| latt_set_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1))
| ~ relstr_element_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2)) ),
i_0_98 ).
cnf(c_0_127,plain,
cast_to_el_of_LattPOSet(esk18_0,esk19_0) = esk19_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_119]),c_0_120])]),c_0_121]) ).
cnf(c_0_128,negated_conjecture,
( relstr_element_smaller(poset_of_lattice(esk18_0),esk17_0,esk19_0)
| latt_set_smaller(esk18_0,cast_to_el_of_lattice(esk18_0,esk19_0),esk17_0) ),
i_0_100 ).
cnf(c_0_129,negated_conjecture,
( ~ relstr_element_smaller(poset_of_lattice(esk18_0),esk17_0,esk19_0)
| ~ latt_set_smaller(esk18_0,cast_to_el_of_lattice(esk18_0,esk19_0),esk17_0) ),
i_0_101 ).
cnf(c_0_130,plain,
( latt_set_smaller(esk18_0,esk19_0,X1)
| ~ relstr_element_smaller(poset_of_lattice(esk18_0),X1,esk19_0) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_125]),c_0_119]),c_0_120])]),c_0_121]),c_0_127]) ).
cnf(c_0_131,negated_conjecture,
( latt_set_smaller(esk18_0,esk19_0,esk17_0)
| relstr_element_smaller(poset_of_lattice(esk18_0),esk17_0,esk19_0) ),
inference(rw,[status(thm)],[c_0_128,c_0_123]) ).
cnf(c_0_132,plain,
( empty_carrier(X1)
| relstr_element_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ latt_set_smaller(X1,X3,X2)
| ~ element(X3,the_carrier(X1)) ),
i_0_99 ).
cnf(c_0_133,negated_conjecture,
( ~ latt_set_smaller(esk18_0,esk19_0,esk17_0)
| ~ relstr_element_smaller(poset_of_lattice(esk18_0),esk17_0,esk19_0) ),
inference(rw,[status(thm)],[c_0_129,c_0_123]) ).
cnf(c_0_134,negated_conjecture,
latt_set_smaller(esk18_0,esk19_0,esk17_0),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_135,plain,
( relstr_element_smaller(poset_of_lattice(esk18_0),X1,esk19_0)
| ~ latt_set_smaller(esk18_0,esk19_0,X1) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_125]),c_0_119]),c_0_120])]),c_0_121]),c_0_127]) ).
cnf(c_0_136,negated_conjecture,
~ relstr_element_smaller(poset_of_lattice(esk18_0),esk17_0,esk19_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_134])]) ).
cnf(c_0_137,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_134]),c_0_136]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU348+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n029.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 13:49:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 4.36/2.10 # ENIGMATIC: Solved by autoschedule-lgb:
% 4.36/2.10 # No SInE strategy applied
% 4.36/2.10 # Trying AutoSched0 for 150 seconds
% 4.36/2.10 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 4.36/2.10 # and selection function SelectNewComplexAHP.
% 4.36/2.10 #
% 4.36/2.10 # Preprocessing time : 0.024 s
% 4.36/2.10 # Presaturation interreduction done
% 4.36/2.10
% 4.36/2.10 # Proof found!
% 4.36/2.10 # SZS status Theorem
% 4.36/2.10 # SZS output start CNFRefutation
% See solution above
% 4.36/2.10 # Training examples: 0 positive, 0 negative
% 4.36/2.10
% 4.36/2.10 # -------------------------------------------------
% 4.36/2.10 # User time : 0.029 s
% 4.36/2.10 # System time : 0.005 s
% 4.36/2.10 # Total time : 0.033 s
% 4.36/2.10 # Maximum resident set size: 7128 pages
% 4.36/2.10
%------------------------------------------------------------------------------