TSTP Solution File: SEU078+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU078+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 08:38:20 EDT 2022
% Result : Theorem 9.51s 2.62s
% Output : CNFRefutation 9.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 32
% Syntax : Number of clauses : 97 ( 30 unt; 17 nHn; 75 RR)
% Number of literals : 251 ( 47 equ; 145 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-3 aty)
% Number of variables : 137 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_80,plain,
( X1 = empty_set
| ~ empty(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_80) ).
cnf(i_0_46,plain,
empty(esk11_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_46) ).
cnf(i_0_50,plain,
empty(esk13_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_50) ).
cnf(i_0_45,plain,
function(esk11_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_45) ).
cnf(i_0_15,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_15) ).
cnf(i_0_51,plain,
element(esk13_1(X1),powerset(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_51) ).
cnf(i_0_18,plain,
( X1 = relation_rng(X2)
| in(esk4_2(X2,X1),X1)
| in(esk5_2(X2,X1),relation_dom(X2))
| ~ function(X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_18) ).
cnf(i_0_30,plain,
relation(empty_set),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_30) ).
cnf(i_0_79,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_79) ).
cnf(i_0_81,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_81) ).
cnf(i_0_74,plain,
( X1 = empty_set
| X1 = singleton(X2)
| ~ subset(X1,singleton(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_74) ).
cnf(i_0_63,negated_conjecture,
( one_to_one(esk19_0)
| subset(relation_inverse_image(esk19_0,singleton(X1)),singleton(esk21_1(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_63) ).
cnf(i_0_59,plain,
( disjoint(X1,X2)
| ~ disjoint(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_59) ).
cnf(i_0_78,plain,
( in(X1,X2)
| disjoint(singleton(X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_78) ).
cnf(i_0_64,negated_conjecture,
( ~ one_to_one(esk19_0)
| ~ subset(relation_inverse_image(esk19_0,singleton(esk20_0)),singleton(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_64) ).
cnf(i_0_60,plain,
( singleton(esk18_2(X1,X2)) = relation_inverse_image(X1,singleton(X2))
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1)
| ~ in(X2,relation_rng(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_60) ).
cnf(i_0_12,plain,
( in(X1,relation_dom(X2))
| X3 != relation_inverse_image(X2,X4)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_12) ).
cnf(i_0_35,plain,
( empty(relation_dom(X1))
| ~ empty(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_35) ).
cnf(i_0_10,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/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_10) ).
cnf(i_0_61,plain,
( one_to_one(X1)
| relation_inverse_image(X1,singleton(esk17_1(X1))) != singleton(X2)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_61) ).
cnf(i_0_67,plain,
( relation_inverse_image(X1,X2) = empty_set
| ~ relation(X1)
| ~ disjoint(relation_rng(X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_67) ).
cnf(i_0_58,plain,
subset(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_58) ).
cnf(i_0_66,negated_conjecture,
relation(esk19_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_66) ).
cnf(i_0_65,negated_conjecture,
function(esk19_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_65) ).
cnf(i_0_4,plain,
( one_to_one(X1)
| ~ empty(X1)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_4) ).
cnf(i_0_2,plain,
( function(X1)
| ~ empty(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_2) ).
cnf(i_0_3,plain,
( relation(X1)
| ~ empty(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_3) ).
cnf(i_0_31,plain,
empty(empty_set),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_31) ).
cnf(i_0_71,plain,
subset(empty_set,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_71) ).
cnf(i_0_21,plain,
( apply(X1,esk3_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_21) ).
cnf(i_0_22,plain,
( in(esk3_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_22) ).
cnf(i_0_62,plain,
( one_to_one(X1)
| in(esk17_1(X1),relation_rng(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1wa9ginr/lgb.p',i_0_62) ).
cnf(c_0_114,plain,
( X1 = empty_set
| ~ empty(X1) ),
i_0_80 ).
cnf(c_0_115,plain,
empty(esk11_0),
i_0_46 ).
cnf(c_0_116,plain,
empty(esk13_1(X1)),
i_0_50 ).
cnf(c_0_117,plain,
function(esk11_0),
i_0_45 ).
cnf(c_0_118,plain,
esk11_0 = empty_set,
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_119,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
i_0_15 ).
cnf(c_0_120,plain,
element(esk13_1(X1),powerset(X1)),
i_0_51 ).
cnf(c_0_121,plain,
esk13_1(X1) = empty_set,
inference(spm,[status(thm)],[c_0_114,c_0_116]) ).
cnf(c_0_122,plain,
( X1 = relation_rng(X2)
| in(esk4_2(X2,X1),X1)
| in(esk5_2(X2,X1),relation_dom(X2))
| ~ function(X2)
| ~ relation(X2) ),
i_0_18 ).
cnf(c_0_123,plain,
relation(empty_set),
i_0_30 ).
cnf(c_0_124,plain,
function(empty_set),
inference(rw,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_125,plain,
( in(X1,X2)
| X2 != singleton(X1) ),
inference(er,[status(thm)],[c_0_119]) ).
cnf(c_0_126,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
i_0_79 ).
cnf(c_0_127,plain,
element(empty_set,powerset(X1)),
inference(rw,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_128,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
i_0_81 ).
cnf(c_0_129,plain,
( X1 = relation_rng(empty_set)
| in(esk5_2(empty_set,X1),relation_dom(empty_set))
| in(esk4_2(empty_set,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124])]) ).
cnf(c_0_130,plain,
( X1 = empty_set
| X1 = singleton(X2)
| ~ subset(X1,singleton(X2)) ),
i_0_74 ).
cnf(c_0_131,negated_conjecture,
( one_to_one(esk19_0)
| subset(relation_inverse_image(esk19_0,singleton(X1)),singleton(esk21_1(X1))) ),
i_0_63 ).
cnf(c_0_132,plain,
( disjoint(X1,X2)
| ~ disjoint(X2,X1) ),
i_0_59 ).
cnf(c_0_133,plain,
( in(X1,X2)
| disjoint(singleton(X1),X2) ),
i_0_78 ).
cnf(c_0_134,negated_conjecture,
( ~ one_to_one(esk19_0)
| ~ subset(relation_inverse_image(esk19_0,singleton(esk20_0)),singleton(X1)) ),
i_0_64 ).
cnf(c_0_135,plain,
( singleton(esk18_2(X1,X2)) = relation_inverse_image(X1,singleton(X2))
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1)
| ~ in(X2,relation_rng(X1)) ),
i_0_60 ).
cnf(c_0_136,plain,
( in(X1,relation_dom(X2))
| X3 != relation_inverse_image(X2,X4)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
i_0_12 ).
cnf(c_0_137,plain,
in(X1,singleton(X1)),
inference(er,[status(thm)],[c_0_125]) ).
cnf(c_0_138,plain,
( ~ empty(X1)
| ~ in(X2,empty_set) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_139,plain,
( X1 = relation_rng(empty_set)
| in(esk4_2(empty_set,X1),X1)
| ~ empty(relation_dom(empty_set)) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_140,plain,
( empty(relation_dom(X1))
| ~ empty(X1) ),
i_0_35 ).
cnf(c_0_141,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_10 ).
cnf(c_0_142,plain,
( one_to_one(X1)
| relation_inverse_image(X1,singleton(esk17_1(X1))) != singleton(X2)
| ~ function(X1)
| ~ relation(X1) ),
i_0_61 ).
cnf(c_0_143,negated_conjecture,
( singleton(esk21_1(X1)) = relation_inverse_image(esk19_0,singleton(X1))
| relation_inverse_image(esk19_0,singleton(X1)) = empty_set
| one_to_one(esk19_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_144,plain,
( relation_inverse_image(X1,X2) = empty_set
| ~ relation(X1)
| ~ disjoint(relation_rng(X1),X2) ),
i_0_67 ).
cnf(c_0_145,plain,
( disjoint(X1,singleton(X2))
| in(X2,X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_146,negated_conjecture,
( ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1))
| ~ subset(relation_inverse_image(esk19_0,singleton(esk20_0)),relation_inverse_image(X1,singleton(X2)))
| ~ one_to_one(esk19_0)
| ~ one_to_one(X1) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_147,plain,
subset(X1,X1),
i_0_58 ).
cnf(c_0_148,negated_conjecture,
relation(esk19_0),
i_0_66 ).
cnf(c_0_149,negated_conjecture,
function(esk19_0),
i_0_65 ).
cnf(c_0_150,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(er,[status(thm)],[c_0_136]) ).
cnf(c_0_151,plain,
( in(esk18_2(X1,X2),relation_inverse_image(X1,singleton(X2)))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1))
| ~ one_to_one(X1) ),
inference(spm,[status(thm)],[c_0_137,c_0_135]) ).
cnf(c_0_152,plain,
( one_to_one(X1)
| ~ empty(X1)
| ~ function(X1)
| ~ relation(X1) ),
i_0_4 ).
cnf(c_0_153,plain,
( function(X1)
| ~ empty(X1) ),
i_0_2 ).
cnf(c_0_154,plain,
( relation(X1)
| ~ empty(X1) ),
i_0_3 ).
cnf(c_0_155,plain,
( relation_rng(empty_set) = empty_set
| ~ empty(relation_dom(empty_set))
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_156,plain,
( relation_dom(X1) = empty_set
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_140]) ).
cnf(c_0_157,plain,
empty(empty_set),
i_0_31 ).
cnf(c_0_158,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,singleton(apply(X3,X1)))
| ~ relation(X3)
| ~ function(X3)
| ~ in(X1,relation_dom(X3)) ),
inference(spm,[status(thm)],[c_0_141,c_0_137]) ).
cnf(c_0_159,plain,
( relation_inverse_image(esk19_0,singleton(X1)) = empty_set
| one_to_one(esk19_0)
| one_to_one(X2)
| relation_inverse_image(X2,singleton(esk17_1(X2))) != relation_inverse_image(esk19_0,singleton(X1))
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_160,plain,
( relation_inverse_image(X1,singleton(X2)) = empty_set
| in(X2,relation_rng(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_161,plain,
subset(empty_set,X1),
i_0_71 ).
cnf(c_0_162,plain,
( ~ in(esk20_0,relation_rng(esk19_0))
| ~ one_to_one(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]),c_0_149])]) ).
cnf(c_0_163,plain,
( in(esk18_2(X1,X2),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1))
| ~ one_to_one(X1) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_164,plain,
( one_to_one(X1)
| ~ empty(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_152,c_0_153]),c_0_154]) ).
cnf(c_0_165,plain,
( relation_rng(empty_set) = empty_set
| ~ empty(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157])]) ).
cnf(c_0_166,plain,
( in(X1,relation_inverse_image(X2,singleton(apply(X2,X1))))
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[c_0_158]) ).
cnf(c_0_167,plain,
( apply(X1,esk3_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_21 ).
cnf(c_0_168,plain,
( in(esk3_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_22 ).
cnf(c_0_169,plain,
( relation_inverse_image(esk19_0,singleton(esk17_1(esk19_0))) = empty_set
| one_to_one(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_159]),c_0_148]),c_0_149])]) ).
cnf(c_0_170,negated_conjecture,
~ one_to_one(esk19_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_160]),c_0_161]),c_0_148])]),c_0_162]) ).
cnf(c_0_171,plain,
( ~ empty(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_156]),c_0_164]),c_0_153]),c_0_154]),c_0_138]) ).
cnf(c_0_172,plain,
relation_rng(empty_set) = empty_set,
inference(spm,[status(thm)],[c_0_165,c_0_157]) ).
cnf(c_0_173,plain,
( in(esk3_3(X1,X2,X3),relation_inverse_image(X1,singleton(X3)))
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]) ).
cnf(c_0_174,plain,
relation_inverse_image(esk19_0,singleton(esk17_1(esk19_0))) = empty_set,
inference(sr,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_175,plain,
~ in(X1,empty_set),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_157])]) ).
cnf(c_0_176,plain,
( X1 != relation_rng(esk19_0)
| ~ in(esk17_1(esk19_0),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_148]),c_0_149])]),c_0_175]) ).
cnf(c_0_177,plain,
( one_to_one(X1)
| in(esk17_1(X1),relation_rng(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_62 ).
cnf(c_0_178,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_148]),c_0_149])]),c_0_170]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU078+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n005.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 : Sun Jun 19 15:00:10 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected complete mode:
% 9.51/2.62 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.51/2.62 # No SInE strategy applied
% 9.51/2.62 # Trying AutoSched0 for 150 seconds
% 9.51/2.62 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 9.51/2.62 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.51/2.62 #
% 9.51/2.62 # Preprocessing time : 0.025 s
% 9.51/2.62
% 9.51/2.62 # Proof found!
% 9.51/2.62 # SZS status Theorem
% 9.51/2.62 # SZS output start CNFRefutation
% See solution above
% 9.51/2.62 # Training examples: 0 positive, 0 negative
% 9.51/2.62
% 9.51/2.62 # -------------------------------------------------
% 9.51/2.62 # User time : 0.238 s
% 9.51/2.62 # System time : 0.015 s
% 9.51/2.62 # Total time : 0.254 s
% 9.51/2.62 # Maximum resident set size: 7128 pages
% 9.51/2.62
%------------------------------------------------------------------------------