TSTP Solution File: SEU311+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU311+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 08:40:41 EDT 2022
% Result : Theorem 7.58s 2.38s
% Output : CNFRefutation 7.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of clauses : 45 ( 16 unt; 13 nHn; 41 RR)
% Number of literals : 106 ( 0 equ; 55 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 53 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_85,plain,
( in(X1,powerset(the_carrier(X2)))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ in(X1,esk8_2(X2,X3))
| ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jq8vspad/lgb.p',i_0_85) ).
cnf(i_0_94,plain,
( element(X1,powerset(X2))
| in(esk10_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jq8vspad/lgb.p',i_0_94) ).
cnf(i_0_4,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jq8vspad/lgb.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
top_str(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jq8vspad/lgb.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
topological_space(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jq8vspad/lgb.p',i_0_6) ).
cnf(i_0_93,plain,
( element(X1,powerset(X2))
| ~ in(esk10_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jq8vspad/lgb.p',i_0_93) ).
cnf(i_0_88,plain,
( empty(X1)
| element(X2,X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jq8vspad/lgb.p',i_0_88) ).
cnf(i_0_98,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jq8vspad/lgb.p',i_0_98) ).
cnf(i_0_1,negated_conjecture,
( in(esk3_1(X1),X1)
| in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0)
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jq8vspad/lgb.p',i_0_1) ).
cnf(i_0_3,negated_conjecture,
( element(esk3_1(X1),powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jq8vspad/lgb.p',i_0_3) ).
cnf(i_0_89,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jq8vspad/lgb.p',i_0_89) ).
cnf(i_0_82,plain,
~ empty(powerset(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jq8vspad/lgb.p',i_0_82) ).
cnf(i_0_84,plain,
( in(set_difference(cast_as_carrier_subset(X1),X2),X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X2,esk8_2(X1,X3))
| ~ element(X3,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jq8vspad/lgb.p',i_0_84) ).
cnf(i_0_83,plain,
( in(X1,esk8_2(X2,X3))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ in(X1,powerset(the_carrier(X2)))
| ~ in(set_difference(cast_as_carrier_subset(X2),X1),X3)
| ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jq8vspad/lgb.p',i_0_83) ).
cnf(i_0_2,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ element(X1,powerset(powerset(the_carrier(esk1_0))))
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jq8vspad/lgb.p',i_0_2) ).
cnf(c_0_114,plain,
( in(X1,powerset(the_carrier(X2)))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ in(X1,esk8_2(X2,X3))
| ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
i_0_85 ).
cnf(c_0_115,plain,
( element(X1,powerset(X2))
| in(esk10_2(X1,X2),X1) ),
i_0_94 ).
cnf(c_0_116,plain,
( element(esk8_2(X1,X2),powerset(X3))
| in(esk10_2(esk8_2(X1,X2),X3),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_117,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
i_0_4 ).
cnf(c_0_118,negated_conjecture,
top_str(esk1_0),
i_0_5 ).
cnf(c_0_119,negated_conjecture,
topological_space(esk1_0),
i_0_6 ).
cnf(c_0_120,plain,
( element(X1,powerset(X2))
| ~ in(esk10_2(X1,X2),X2) ),
i_0_93 ).
cnf(c_0_121,negated_conjecture,
( element(esk8_2(esk1_0,esk2_0),powerset(X1))
| in(esk10_2(esk8_2(esk1_0,esk2_0),X1),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),c_0_119])]) ).
cnf(c_0_122,plain,
( empty(X1)
| element(X2,X1)
| ~ in(X2,X1) ),
i_0_88 ).
cnf(c_0_123,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
i_0_98 ).
cnf(c_0_124,negated_conjecture,
( in(esk3_1(X1),X1)
| in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0)
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
i_0_1 ).
cnf(c_0_125,plain,
element(esk8_2(esk1_0,esk2_0),powerset(powerset(the_carrier(esk1_0)))),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_126,negated_conjecture,
( element(esk3_1(X1),powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
i_0_3 ).
cnf(c_0_127,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(csr,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_128,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk8_2(esk1_0,esk2_0))),esk2_0)
| in(esk3_1(esk8_2(esk1_0,esk2_0)),esk8_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_129,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_89 ).
cnf(c_0_130,negated_conjecture,
element(esk3_1(esk8_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))),
inference(spm,[status(thm)],[c_0_126,c_0_125]) ).
cnf(c_0_131,plain,
~ empty(powerset(X1)),
i_0_82 ).
cnf(c_0_132,plain,
( in(set_difference(cast_as_carrier_subset(X1),X2),X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X2,esk8_2(X1,X3))
| ~ element(X3,powerset(powerset(the_carrier(X1)))) ),
i_0_84 ).
cnf(c_0_133,plain,
( element(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk8_2(esk1_0,esk2_0))),esk2_0)
| in(esk3_1(esk8_2(esk1_0,esk2_0)),esk8_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_134,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk2_0)),esk2_0)
| in(esk3_1(esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_124,c_0_117]) ).
cnf(c_0_135,plain,
( in(X1,esk8_2(X2,X3))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ in(X1,powerset(the_carrier(X2)))
| ~ in(set_difference(cast_as_carrier_subset(X2),X1),X3)
| ~ element(X3,powerset(powerset(the_carrier(X2)))) ),
i_0_83 ).
cnf(c_0_136,plain,
in(esk3_1(esk8_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]) ).
cnf(c_0_137,plain,
element(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk8_2(esk1_0,esk2_0))),esk2_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_118]),c_0_119]),c_0_117])]),c_0_127]) ).
cnf(c_0_138,plain,
~ empty(esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_134]),c_0_123]) ).
cnf(c_0_139,plain,
( in(esk3_1(esk8_2(esk1_0,esk2_0)),esk8_2(esk1_0,X1))
| ~ element(X1,powerset(powerset(the_carrier(esk1_0))))
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk8_2(esk1_0,esk2_0))),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_118]),c_0_119])]) ).
cnf(c_0_140,plain,
in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk8_2(esk1_0,esk2_0))),esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_137]),c_0_138]) ).
cnf(c_0_141,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ element(X1,powerset(powerset(the_carrier(esk1_0))))
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0) ),
i_0_2 ).
cnf(c_0_142,negated_conjecture,
in(esk3_1(esk8_2(esk1_0,esk2_0)),esk8_2(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_117]),c_0_140])]) ).
cnf(c_0_143,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_125]),c_0_140])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU311+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 12:47:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.58/2.38 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.58/2.38 # No SInE strategy applied
% 7.58/2.38 # Trying AutoSched0 for 150 seconds
% 7.58/2.38 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 7.58/2.38 # and selection function SelectNewComplexAHP.
% 7.58/2.38 #
% 7.58/2.38 # Preprocessing time : 0.023 s
% 7.58/2.38 # Presaturation interreduction done
% 7.58/2.38
% 7.58/2.38 # Proof found!
% 7.58/2.38 # SZS status Theorem
% 7.58/2.38 # SZS output start CNFRefutation
% See solution above
% 7.58/2.38 # Training examples: 0 positive, 0 negative
% 7.58/2.38
% 7.58/2.38 # -------------------------------------------------
% 7.58/2.38 # User time : 0.036 s
% 7.58/2.38 # System time : 0.008 s
% 7.58/2.38 # Total time : 0.045 s
% 7.58/2.38 # Maximum resident set size: 7128 pages
% 7.58/2.38
%------------------------------------------------------------------------------