TSTP Solution File: SET516-6 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET516-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n022.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 : 300s
% DateTime : Tue Aug 22 10:56:32 EDT 2023
% Result : Unsatisfiable 15.24s 5.30s
% Output : CNFRefutation 15.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 74
% Syntax : Number of formulae : 158 ( 38 unt; 57 typ; 0 def)
% Number of atoms : 182 ( 62 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 142 ( 61 ~; 81 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 72 ( 44 >; 28 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 47 ( 47 usr; 13 con; 0-3 aty)
% Number of variables : 92 (; 92 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ maps > homomorphism > compatible > subclass > member > single_valued_class > operation > one_to_one > inductive > function > restrict > range > not_homomorphism2 > not_homomorphism1 > domain > unordered_pair > union > symmetric_difference > ordered_pair > not_subclass_element > intersection > image > cross_product > compose > apply > #nlpp > sum_class > successor > singleton > single_valued3 > single_valued2 > single_valued1 > second > rotate > regular > range_of > power_class > inverse > flip > first > domain_of > diagonalise > compose_class > complement > cantor > x > universal_class > successor_relation > subset_relation > singleton_relation > omega > null_class > identity_relation > element_relation > domain_relation > composition_function > choice > application_function
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(omega,type,
omega: $i ).
tff(null_class,type,
null_class: $i ).
tff(rotate,type,
rotate: $i > $i ).
tff(subclass,type,
subclass: ( $i * $i ) > $o ).
tff(singleton,type,
singleton: $i > $i ).
tff(single_valued_class,type,
single_valued_class: $i > $o ).
tff(operation,type,
operation: $i > $o ).
tff(sum_class,type,
sum_class: $i > $i ).
tff(single_valued3,type,
single_valued3: $i > $i ).
tff(x,type,
x: $i ).
tff(maps,type,
maps: ( $i * $i * $i ) > $o ).
tff(compose_class,type,
compose_class: $i > $i ).
tff(apply,type,
apply: ( $i * $i ) > $i ).
tff(compatible,type,
compatible: ( $i * $i * $i ) > $o ).
tff(unordered_pair,type,
unordered_pair: ( $i * $i ) > $i ).
tff(regular,type,
regular: $i > $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(singleton_relation,type,
singleton_relation: $i ).
tff(ordered_pair,type,
ordered_pair: ( $i * $i ) > $i ).
tff(one_to_one,type,
one_to_one: $i > $o ).
tff(element_relation,type,
element_relation: $i ).
tff(intersection,type,
intersection: ( $i * $i ) > $i ).
tff(second,type,
second: $i > $i ).
tff(union,type,
union: ( $i * $i ) > $i ).
tff(function,type,
function: $i > $o ).
tff(symmetric_difference,type,
symmetric_difference: ( $i * $i ) > $i ).
tff(application_function,type,
application_function: $i ).
tff(flip,type,
flip: $i > $i ).
tff(power_class,type,
power_class: $i > $i ).
tff(cross_product,type,
cross_product: ( $i * $i ) > $i ).
tff(choice,type,
choice: $i ).
tff(subset_relation,type,
subset_relation: $i ).
tff(restrict,type,
restrict: ( $i * $i * $i ) > $i ).
tff(complement,type,
complement: $i > $i ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff(not_subclass_element,type,
not_subclass_element: ( $i * $i ) > $i ).
tff(range,type,
range: ( $i * $i * $i ) > $i ).
tff(first,type,
first: $i > $i ).
tff(diagonalise,type,
diagonalise: $i > $i ).
tff(homomorphism,type,
homomorphism: ( $i * $i * $i ) > $o ).
tff(single_valued2,type,
single_valued2: $i > $i ).
tff(cantor,type,
cantor: $i > $i ).
tff(image,type,
image: ( $i * $i ) > $i ).
tff(range_of,type,
range_of: $i > $i ).
tff(inductive,type,
inductive: $i > $o ).
tff(domain,type,
domain: ( $i * $i * $i ) > $i ).
tff(compose,type,
compose: ( $i * $i ) > $i ).
tff(composition_function,type,
composition_function: $i ).
tff(domain_of,type,
domain_of: $i > $i ).
tff(domain_relation,type,
domain_relation: $i ).
tff(not_homomorphism2,type,
not_homomorphism2: ( $i * $i * $i ) > $i ).
tff(single_valued1,type,
single_valued1: $i > $i ).
tff(successor,type,
successor: $i > $i ).
tff(successor_relation,type,
successor_relation: $i ).
tff(identity_relation,type,
identity_relation: $i ).
tff(not_homomorphism1,type,
not_homomorphism1: ( $i * $i * $i ) > $i ).
tff(universal_class,type,
universal_class: $i ).
tff(f_778,axiom,
singleton(x) = x,
file(unknown,unknown) ).
tff(f_479,axiom,
! [X] :
( ( X = null_class )
| member(regular(X),X) ),
file(unknown,unknown) ).
tff(f_132,axiom,
! [X] : ( unordered_pair(X,X) = singleton(X) ),
file(unknown,unknown) ).
tff(f_111,axiom,
! [U,X,Y] :
( ~ member(U,unordered_pair(X,Y))
| ( U = X )
| ( U = Y ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
! [X,Y] : member(unordered_pair(X,Y),universal_class),
file(unknown,unknown) ).
tff(f_118,axiom,
! [X,Y] :
( ~ member(X,universal_class)
| member(X,unordered_pair(X,Y)) ),
file(unknown,unknown) ).
tff(f_70,axiom,
! [X,Y] :
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file(unknown,unknown) ).
tff(f_523,axiom,
intersection(inverse(subset_relation),subset_relation) = identity_relation,
file(unknown,unknown) ).
tff(f_200,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
file(unknown,unknown) ).
tff(f_75,axiom,
! [X,Y] :
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file(unknown,unknown) ).
tff(f_483,axiom,
! [X] :
( ( X = null_class )
| ( intersection(X,regular(X)) = null_class ) ),
file(unknown,unknown) ).
tff(f_194,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,X) ),
file(unknown,unknown) ).
tff(f_216,axiom,
! [Z,X] :
( ~ member(Z,complement(X))
| ~ member(Z,X) ),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X,Y,U] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file(unknown,unknown) ).
tff(f_729,axiom,
intersection(complement(compose(element_relation,complement(identity_relation))),element_relation) = singleton_relation,
file(unknown,unknown) ).
tff(f_498,axiom,
! [Y] :
( ~ member(Y,universal_class)
| ( Y = null_class )
| member(apply(choice,Y),Y) ),
file(unknown,unknown) ).
tff(f_208,axiom,
! [Z,X,Y] :
( ~ member(Z,X)
| ~ member(Z,Y)
| member(Z,intersection(X,Y)) ),
file(unknown,unknown) ).
tff(c_226,plain,
singleton(x) = x,
inference(cnfTransformation,[status(thm)],[f_778]) ).
tff(c_132,plain,
! [X_131] :
( member(regular(X_131),X_131)
| ( null_class = X_131 ) ),
inference(cnfTransformation,[status(thm)],[f_479]) ).
tff(c_24,plain,
! [X_24] : ( unordered_pair(X_24,X_24) = singleton(X_24) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_788,plain,
! [Y_319,U_320,X_321] :
( ( Y_319 = U_320 )
| ( X_321 = U_320 )
| ~ member(U_320,unordered_pair(X_321,Y_319)) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_845,plain,
! [X_326,U_327] :
( ( X_326 = U_327 )
| ( X_326 = U_327 )
| ~ member(U_327,singleton(X_326)) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_788]) ).
tff(c_899,plain,
! [X_331] :
( ( regular(singleton(X_331)) = X_331 )
| ( singleton(X_331) = null_class ) ),
inference(resolution,[status(thm)],[c_132,c_845]) ).
tff(c_914,plain,
( ( regular(x) = x )
| ( singleton(x) = null_class ) ),
inference(superposition,[status(thm),theory(equality)],[c_226,c_899]) ).
tff(c_917,plain,
( ( regular(x) = x )
| ( x = null_class ) ),
inference(demodulation,[status(thm),theory(equality)],[c_226,c_914]) ).
tff(c_918,plain,
x = null_class,
inference(splitLeft,[status(thm)],[c_917]) ).
tff(c_263,plain,
! [X_224,Y_225] : member(unordered_pair(X_224,Y_225),universal_class),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_266,plain,
! [X_226] : member(singleton(X_226),universal_class),
inference(superposition,[status(thm),theory(equality)],[c_24,c_263]) ).
tff(c_268,plain,
member(x,universal_class),
inference(superposition,[status(thm),theory(equality)],[c_226,c_266]) ).
tff(c_400,plain,
! [X_269,Y_270] :
( member(X_269,unordered_pair(X_269,Y_270))
| ~ member(X_269,universal_class) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_416,plain,
! [X_272] :
( member(X_272,singleton(X_272))
| ~ member(X_272,universal_class) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_400]) ).
tff(c_419,plain,
( member(x,x)
| ~ member(x,universal_class) ),
inference(superposition,[status(thm),theory(equality)],[c_226,c_416]) ).
tff(c_421,plain,
member(x,x),
inference(demodulation,[status(thm),theory(equality)],[c_268,c_419]) ).
tff(c_920,plain,
member(null_class,null_class),
inference(demodulation,[status(thm),theory(equality)],[c_918,c_918,c_421]) ).
tff(c_4,plain,
! [X_4,Y_5] :
( subclass(X_4,Y_5)
| member(not_subclass_element(X_4,Y_5),X_4) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_150,plain,
intersection(inverse(subset_relation),subset_relation) = identity_relation,
inference(cnfTransformation,[status(thm)],[f_523]) ).
tff(c_518,plain,
! [Z_286,Y_287,X_288] :
( member(Z_286,Y_287)
| ~ member(Z_286,intersection(X_288,Y_287)) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_553,plain,
! [Z_290] :
( member(Z_290,subset_relation)
| ~ member(Z_290,identity_relation) ),
inference(superposition,[status(thm),theory(equality)],[c_150,c_518]) ).
tff(c_6,plain,
! [X_6,Y_7] :
( subclass(X_6,Y_7)
| ~ member(not_subclass_element(X_6,Y_7),Y_7) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_782,plain,
! [X_318] :
( subclass(X_318,subset_relation)
| ~ member(not_subclass_element(X_318,subset_relation),identity_relation) ),
inference(resolution,[status(thm)],[c_553,c_6]) ).
tff(c_787,plain,
subclass(identity_relation,subset_relation),
inference(resolution,[status(thm)],[c_4,c_782]) ).
tff(c_134,plain,
! [X_132] :
( ( intersection(X_132,regular(X_132)) = null_class )
| ( null_class = X_132 ) ),
inference(cnfTransformation,[status(thm)],[f_483]) ).
tff(c_432,plain,
! [Z_275,X_276,Y_277] :
( member(Z_275,X_276)
| ~ member(Z_275,intersection(X_276,Y_277)) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_435,plain,
! [Z_275,X_132] :
( member(Z_275,X_132)
| ~ member(Z_275,null_class)
| ( null_class = X_132 ) ),
inference(superposition,[status(thm),theory(equality)],[c_134,c_432]) ).
tff(c_1011,plain,
! [X_132] :
( member(null_class,X_132)
| ( null_class = X_132 ) ),
inference(resolution,[status(thm)],[c_920,c_435]) ).
tff(c_532,plain,
! [Z_286] :
( member(Z_286,subset_relation)
| ~ member(Z_286,identity_relation) ),
inference(superposition,[status(thm),theory(equality)],[c_150,c_518]) ).
tff(c_1030,plain,
! [X_336] :
( member(null_class,X_336)
| ( null_class = X_336 ) ),
inference(resolution,[status(thm)],[c_920,c_435]) ).
tff(c_48,plain,
! [Z_55,X_56] :
( ~ member(Z_55,X_56)
| ~ member(Z_55,complement(X_56)) ),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_1226,plain,
! [X_344] :
( ~ member(null_class,X_344)
| ( complement(X_344) = null_class ) ),
inference(resolution,[status(thm)],[c_1030,c_48]) ).
tff(c_1266,plain,
( ( complement(subset_relation) = null_class )
| ~ member(null_class,identity_relation) ),
inference(resolution,[status(thm)],[c_532,c_1226]) ).
tff(c_1614,plain,
~ member(null_class,identity_relation),
inference(splitLeft,[status(thm)],[c_1266]) ).
tff(c_1621,plain,
null_class = identity_relation,
inference(resolution,[status(thm)],[c_1011,c_1614]) ).
tff(c_1623,plain,
~ member(identity_relation,identity_relation),
inference(demodulation,[status(thm),theory(equality)],[c_1621,c_1614]) ).
tff(c_1642,plain,
member(identity_relation,identity_relation),
inference(demodulation,[status(thm),theory(equality)],[c_1621,c_1621,c_920]) ).
tff(c_1742,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1623,c_1642]) ).
tff(c_1744,plain,
member(null_class,identity_relation),
inference(splitRight,[status(thm)],[c_1266]) ).
tff(c_2,plain,
! [U_3,Y_2,X_1] :
( member(U_3,Y_2)
| ~ member(U_3,X_1)
| ~ subclass(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_1841,plain,
! [Y_369] :
( member(null_class,Y_369)
| ~ subclass(identity_relation,Y_369) ),
inference(resolution,[status(thm)],[c_1744,c_2]) ).
tff(c_1857,plain,
member(null_class,subset_relation),
inference(resolution,[status(thm)],[c_787,c_1841]) ).
tff(c_1743,plain,
complement(subset_relation) = null_class,
inference(splitRight,[status(thm)],[c_1266]) ).
tff(c_1872,plain,
! [Z_370] :
( ~ member(Z_370,subset_relation)
| ~ member(Z_370,null_class) ),
inference(superposition,[status(thm),theory(equality)],[c_1743,c_48]) ).
tff(c_1875,plain,
~ member(null_class,null_class),
inference(resolution,[status(thm)],[c_1857,c_1872]) ).
tff(c_1898,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_920,c_1875]) ).
tff(c_1900,plain,
x != null_class,
inference(splitRight,[status(thm)],[c_917]) ).
tff(c_2099,plain,
! [U_381] :
( ( x = U_381 )
| ( x = U_381 )
| ~ member(U_381,x) ),
inference(superposition,[status(thm),theory(equality)],[c_226,c_845]) ).
tff(c_2215,plain,
! [Y_388] :
( ( not_subclass_element(x,Y_388) = x )
| subclass(x,Y_388) ),
inference(resolution,[status(thm)],[c_4,c_2099]) ).
tff(c_1914,plain,
! [U_371,Y_372,X_373] :
( member(U_371,Y_372)
| ~ member(U_371,X_373)
| ~ subclass(X_373,Y_372) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_1955,plain,
! [Y_372] :
( member(x,Y_372)
| ~ subclass(x,Y_372) ),
inference(resolution,[status(thm)],[c_421,c_1914]) ).
tff(c_2230,plain,
! [Y_392] :
( member(x,Y_392)
| ( not_subclass_element(x,Y_392) = x ) ),
inference(resolution,[status(thm)],[c_2215,c_1955]) ).
tff(c_208,plain,
intersection(complement(compose(element_relation,complement(identity_relation))),element_relation) = singleton_relation,
inference(cnfTransformation,[status(thm)],[f_729]) ).
tff(c_44,plain,
! [Z_49,Y_51,X_50] :
( member(Z_49,Y_51)
| ~ member(Z_49,intersection(X_50,Y_51)) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_652,plain,
! [Z_307] :
( member(Z_307,element_relation)
| ~ member(Z_307,singleton_relation) ),
inference(superposition,[status(thm),theory(equality)],[c_208,c_44]) ).
tff(c_666,plain,
( member(regular(singleton_relation),element_relation)
| ( singleton_relation = null_class ) ),
inference(resolution,[status(thm)],[c_132,c_652]) ).
tff(c_668,plain,
singleton_relation = null_class,
inference(splitLeft,[status(thm)],[c_666]) ).
tff(c_641,plain,
! [Z_49] :
( member(Z_49,element_relation)
| ~ member(Z_49,singleton_relation) ),
inference(superposition,[status(thm),theory(equality)],[c_208,c_44]) ).
tff(c_669,plain,
! [Z_49] :
( member(Z_49,element_relation)
| ~ member(Z_49,null_class) ),
inference(demodulation,[status(thm),theory(equality)],[c_668,c_641]) ).
tff(c_2276,plain,
( member(x,element_relation)
| ( not_subclass_element(x,null_class) = x ) ),
inference(resolution,[status(thm)],[c_2230,c_669]) ).
tff(c_2305,plain,
not_subclass_element(x,null_class) = x,
inference(splitLeft,[status(thm)],[c_2276]) ).
tff(c_2312,plain,
( subclass(x,null_class)
| ~ member(x,null_class) ),
inference(superposition,[status(thm),theory(equality)],[c_2305,c_6]) ).
tff(c_2317,plain,
~ member(x,null_class),
inference(splitLeft,[status(thm)],[c_2312]) ).
tff(c_2596,plain,
! [Y_424] :
( member(apply(choice,Y_424),Y_424)
| ( null_class = Y_424 )
| ~ member(Y_424,universal_class) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_863,plain,
! [U_327] :
( ( x = U_327 )
| ( x = U_327 )
| ~ member(U_327,x) ),
inference(superposition,[status(thm),theory(equality)],[c_226,c_845]) ).
tff(c_2604,plain,
( ( apply(choice,x) = x )
| ( x = null_class )
| ~ member(x,universal_class) ),
inference(resolution,[status(thm)],[c_2596,c_863]) ).
tff(c_2640,plain,
( ( apply(choice,x) = x )
| ( x = null_class ) ),
inference(demodulation,[status(thm),theory(equality)],[c_268,c_2604]) ).
tff(c_2641,plain,
apply(choice,x) = x,
inference(negUnitSimplification,[status(thm)],[c_1900,c_2640]) ).
tff(c_140,plain,
! [Y_135] :
( member(apply(choice,Y_135),Y_135)
| ( null_class = Y_135 )
| ~ member(Y_135,universal_class) ),
inference(cnfTransformation,[status(thm)],[f_498]) ).
tff(c_1899,plain,
regular(x) = x,
inference(splitRight,[status(thm)],[c_917]) ).
tff(c_1904,plain,
( ( intersection(x,x) = null_class )
| ( x = null_class ) ),
inference(superposition,[status(thm),theory(equality)],[c_1899,c_134]) ).
tff(c_1910,plain,
intersection(x,x) = null_class,
inference(negUnitSimplification,[status(thm)],[c_1900,c_1904]) ).
tff(c_2976,plain,
! [Z_459,X_460,Y_461] :
( member(Z_459,intersection(X_460,Y_461))
| ~ member(Z_459,Y_461)
| ~ member(Z_459,X_460) ),
inference(cnfTransformation,[status(thm)],[f_208]) ).
tff(c_16188,plain,
! [Z_1039] :
( member(Z_1039,null_class)
| ~ member(Z_1039,x)
| ~ member(Z_1039,x) ),
inference(superposition,[status(thm),theory(equality)],[c_1910,c_2976]) ).
tff(c_16221,plain,
( member(apply(choice,x),null_class)
| ~ member(apply(choice,x),x)
| ( x = null_class )
| ~ member(x,universal_class) ),
inference(resolution,[status(thm)],[c_140,c_16188]) ).
tff(c_16259,plain,
( member(x,null_class)
| ( x = null_class ) ),
inference(demodulation,[status(thm),theory(equality)],[c_268,c_421,c_2641,c_2641,c_16221]) ).
tff(c_16261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1900,c_2317,c_16259]) ).
tff(c_16263,plain,
member(x,null_class),
inference(splitRight,[status(thm)],[c_2312]) ).
tff(c_16292,plain,
! [X_1040] :
( member(x,X_1040)
| ( null_class = X_1040 ) ),
inference(resolution,[status(thm)],[c_16263,c_435]) ).
tff(c_16423,plain,
! [X_1051] :
( ~ member(x,X_1051)
| ( complement(X_1051) = null_class ) ),
inference(resolution,[status(thm)],[c_16292,c_48]) ).
tff(c_16468,plain,
complement(null_class) = null_class,
inference(resolution,[status(thm)],[c_16263,c_16423]) ).
tff(c_17379,plain,
! [Z_1078] :
( ~ member(Z_1078,null_class)
| ~ member(Z_1078,null_class) ),
inference(superposition,[status(thm),theory(equality)],[c_16468,c_48]) ).
tff(c_17387,plain,
~ member(x,null_class),
inference(resolution,[status(thm)],[c_16263,c_17379]) ).
tff(c_17414,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16263,c_17387]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET516-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.34 % Computer : n022.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 : 300
% 0.12/0.34 % DateTime : Thu Aug 3 16:40:33 EDT 2023
% 0.12/0.34 % CPUTime :
% 15.24/5.30 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.24/5.33
% 15.24/5.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.24/5.37
% 15.24/5.37 Inference rules
% 15.24/5.37 ----------------------
% 15.24/5.37 #Ref : 0
% 15.24/5.37 #Sup : 4252
% 15.24/5.37 #Fact : 0
% 15.24/5.37 #Define : 0
% 15.24/5.37 #Split : 101
% 15.24/5.37 #Chain : 0
% 15.24/5.37 #Close : 0
% 15.24/5.37
% 15.24/5.37 Ordering : KBO
% 15.24/5.37
% 15.24/5.37 Simplification rules
% 15.24/5.37 ----------------------
% 15.24/5.37 #Subsume : 980
% 15.24/5.37 #Demod : 1351
% 15.24/5.37 #Tautology : 906
% 15.24/5.37 #SimpNegUnit : 111
% 15.24/5.37 #BackRed : 220
% 15.24/5.37
% 15.24/5.37 #Partial instantiations: 0
% 15.24/5.37 #Strategies tried : 1
% 15.24/5.37
% 15.24/5.37 Timing (in seconds)
% 15.24/5.37 ----------------------
% 15.24/5.37 Preprocessing : 0.73
% 15.24/5.37 Parsing : 0.39
% 15.24/5.37 CNF conversion : 0.05
% 15.24/5.37 Main loop : 3.56
% 15.24/5.37 Inferencing : 1.04
% 15.24/5.37 Reduction : 1.31
% 15.24/5.37 Demodulation : 0.88
% 15.24/5.37 BG Simplification : 0.09
% 15.24/5.37 Subsumption : 0.83
% 15.24/5.37 Abstraction : 0.07
% 15.24/5.37 MUC search : 0.00
% 15.24/5.37 Cooper : 0.00
% 15.24/5.37 Total : 4.37
% 15.24/5.37 Index Insertion : 0.00
% 15.24/5.37 Index Deletion : 0.00
% 15.24/5.37 Index Matching : 0.00
% 15.24/5.37 BG Taut test : 0.00
%------------------------------------------------------------------------------