TSTP Solution File: SEU072+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU072+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n020.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 10:57:34 EDT 2023
% Result : Theorem 31.81s 16.79s
% Output : CNFRefutation 31.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 43
% Syntax : Number of formulae : 106 ( 23 unt; 34 typ; 0 def)
% Number of atoms : 188 ( 60 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 189 ( 73 ~; 92 |; 9 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 35 ( 24 >; 11 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 10 con; 0-3 aty)
% Number of variables : 47 (; 45 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > in > element > relation_empty_yielding > relation > one_to_one > function > empty > relation_inverse_image > relation_image > apply > #nlpp > singleton > relation_rng > relation_dom > powerset > empty_set > #skF_7 > #skF_5 > #skF_18 > #skF_17 > #skF_11 > #skF_15 > #skF_4 > #skF_3 > #skF_16 > #skF_10 > #skF_13 > #skF_9 > #skF_8 > #skF_14 > #skF_2 > #skF_1 > #skF_6 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(relation,type,
relation: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i ).
tff(singleton,type,
singleton: $i > $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(apply,type,
apply: ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(one_to_one,type,
one_to_one: $i > $o ).
tff(relation_inverse_image,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(function,type,
function: $i > $o ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(relation_empty_yielding,type,
relation_empty_yielding: $i > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': $i ).
tff(relation_image,type,
relation_image: ( $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(empty_set,type,
empty_set: $i ).
tff(relation_dom,type,
relation_dom: $i > $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(powerset,type,
powerset: $i > $i ).
tff(relation_rng,type,
relation_rng: $i > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_202,negated_conjecture,
~ ! [A] :
( ( relation(A)
& function(A) )
=> ( ! [B] : subset(relation_inverse_image(A,relation_image(A,B)),B)
=> one_to_one(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t153_funct_1) ).
tff(f_81,axiom,
! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
<=> ! [B,C] :
( ( in(B,relation_dom(A))
& in(C,relation_dom(A))
& ( apply(A,B) = apply(A,C) ) )
=> ( B = C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
tff(f_185,axiom,
! [A,B] :
( ( relation(B)
& function(B) )
=> ( in(A,relation_dom(B))
=> ( relation_image(B,singleton(A)) = singleton(apply(B,A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_funct_1) ).
tff(f_152,axiom,
? [A] :
( relation(A)
& empty(A)
& function(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
tff(f_239,axiom,
! [A] :
( empty(A)
=> ( A = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
tff(f_218,axiom,
! [A,B] :
( subset(A,singleton(B))
<=> ( ( A = empty_set )
| ( A = singleton(B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_zfmisc_1) ).
tff(f_66,axiom,
! [A] :
( ( relation(A)
& function(A) )
=> ! [B] :
( ( B = relation_rng(A) )
<=> ! [C] :
( in(C,B)
<=> ? [D] :
( in(D,relation_dom(A))
& ( C = apply(A,D) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
tff(f_192,axiom,
! [A,B] :
( relation(B)
=> ( in(A,relation_rng(B))
<=> ( relation_inverse_image(B,singleton(A)) != empty_set ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t142_funct_1) ).
tff(f_243,axiom,
! [A,B] :
( subset(singleton(A),singleton(B))
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_zfmisc_1) ).
tff(c_120,plain,
~ one_to_one('#skF_18'),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_124,plain,
function('#skF_18'),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_126,plain,
relation('#skF_18'),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_683,plain,
! [A_161] :
( ( '#skF_5'(A_161) != '#skF_6'(A_161) )
| one_to_one(A_161)
| ~ function(A_161)
| ~ relation(A_161) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_710,plain,
( ( '#skF_5'('#skF_18') != '#skF_6'('#skF_18') )
| one_to_one('#skF_18')
| ~ function('#skF_18') ),
inference(resolution,[status(thm)],[c_126,c_683]) ).
tff(c_727,plain,
( ( '#skF_5'('#skF_18') != '#skF_6'('#skF_18') )
| one_to_one('#skF_18') ),
inference(demodulation,[status(thm),theory(equality)],[c_124,c_710]) ).
tff(c_728,plain,
'#skF_5'('#skF_18') != '#skF_6'('#skF_18'),
inference(negUnitSimplification,[status(thm)],[c_120,c_727]) ).
tff(c_38,plain,
! [A_46] :
( in('#skF_6'(A_46),relation_dom(A_46))
| one_to_one(A_46)
| ~ function(A_46)
| ~ relation(A_46) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_4107,plain,
! [B_272,A_273] :
( ( relation_image(B_272,singleton(A_273)) = singleton(apply(B_272,A_273)) )
| ~ in(A_273,relation_dom(B_272))
| ~ function(B_272)
| ~ relation(B_272) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_4165,plain,
! [A_46] :
( ( relation_image(A_46,singleton('#skF_6'(A_46))) = singleton(apply(A_46,'#skF_6'(A_46))) )
| one_to_one(A_46)
| ~ function(A_46)
| ~ relation(A_46) ),
inference(resolution,[status(thm)],[c_38,c_4107]) ).
tff(c_15877,plain,
! [A_464] :
( ( relation_image(A_464,singleton('#skF_6'(A_464))) = singleton(apply(A_464,'#skF_6'(A_464))) )
| one_to_one(A_464)
| ~ function(A_464)
| ~ relation(A_464) ),
inference(resolution,[status(thm)],[c_38,c_4107]) ).
tff(c_122,plain,
! [B_72] : subset(relation_inverse_image('#skF_18',relation_image('#skF_18',B_72)),B_72),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_88,plain,
empty('#skF_12'),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_163,plain,
! [A_100] :
( ( empty_set = A_100 )
| ~ empty(A_100) ),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_184,plain,
empty_set = '#skF_12',
inference(resolution,[status(thm)],[c_88,c_163]) ).
tff(c_132,plain,
! [B_78,A_77] :
( ( singleton(B_78) = A_77 )
| ( empty_set = A_77 )
| ~ subset(A_77,singleton(B_78)) ),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_627,plain,
! [B_150,A_151] :
( ( singleton(B_150) = A_151 )
| ( A_151 = '#skF_12' )
| ~ subset(A_151,singleton(B_150)) ),
inference(demodulation,[status(thm),theory(equality)],[c_184,c_132]) ).
tff(c_656,plain,
! [B_150] :
( ( relation_inverse_image('#skF_18',relation_image('#skF_18',singleton(B_150))) = singleton(B_150) )
| ( relation_inverse_image('#skF_18',relation_image('#skF_18',singleton(B_150))) = '#skF_12' ) ),
inference(resolution,[status(thm)],[c_122,c_627]) ).
tff(c_15932,plain,
( ( relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_6'('#skF_18')))) = singleton('#skF_6'('#skF_18')) )
| ( relation_inverse_image('#skF_18',relation_image('#skF_18',singleton('#skF_6'('#skF_18')))) = '#skF_12' )
| one_to_one('#skF_18')
| ~ function('#skF_18')
| ~ relation('#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_15877,c_656]) ).
tff(c_15978,plain,
( ( relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_6'('#skF_18')))) = singleton('#skF_6'('#skF_18')) )
| ( relation_inverse_image('#skF_18',relation_image('#skF_18',singleton('#skF_6'('#skF_18')))) = '#skF_12' )
| one_to_one('#skF_18') ),
inference(demodulation,[status(thm),theory(equality)],[c_126,c_124,c_15932]) ).
tff(c_15979,plain,
( ( relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_6'('#skF_18')))) = singleton('#skF_6'('#skF_18')) )
| ( relation_inverse_image('#skF_18',relation_image('#skF_18',singleton('#skF_6'('#skF_18')))) = '#skF_12' ) ),
inference(negUnitSimplification,[status(thm)],[c_120,c_15978]) ).
tff(c_16003,plain,
relation_inverse_image('#skF_18',relation_image('#skF_18',singleton('#skF_6'('#skF_18')))) = '#skF_12',
inference(splitLeft,[status(thm)],[c_15979]) ).
tff(c_16050,plain,
( ( relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_6'('#skF_18')))) = '#skF_12' )
| one_to_one('#skF_18')
| ~ function('#skF_18')
| ~ relation('#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_4165,c_16003]) ).
tff(c_16075,plain,
( ( relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_6'('#skF_18')))) = '#skF_12' )
| one_to_one('#skF_18') ),
inference(demodulation,[status(thm),theory(equality)],[c_126,c_124,c_16050]) ).
tff(c_16076,plain,
relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_6'('#skF_18')))) = '#skF_12',
inference(negUnitSimplification,[status(thm)],[c_120,c_16075]) ).
tff(c_36,plain,
! [A_46] :
( ( apply(A_46,'#skF_5'(A_46)) = apply(A_46,'#skF_6'(A_46)) )
| one_to_one(A_46)
| ~ function(A_46)
| ~ relation(A_46) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_40,plain,
! [A_46] :
( in('#skF_5'(A_46),relation_dom(A_46))
| one_to_one(A_46)
| ~ function(A_46)
| ~ relation(A_46) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_4164,plain,
! [A_46] :
( ( relation_image(A_46,singleton('#skF_5'(A_46))) = singleton(apply(A_46,'#skF_5'(A_46))) )
| one_to_one(A_46)
| ~ function(A_46)
| ~ relation(A_46) ),
inference(resolution,[status(thm)],[c_40,c_4107]) ).
tff(c_16095,plain,
! [A_465] :
( ( relation_image(A_465,singleton('#skF_5'(A_465))) = singleton(apply(A_465,'#skF_5'(A_465))) )
| one_to_one(A_465)
| ~ function(A_465)
| ~ relation(A_465) ),
inference(resolution,[status(thm)],[c_40,c_4107]) ).
tff(c_16150,plain,
( ( relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_5'('#skF_18')))) = singleton('#skF_5'('#skF_18')) )
| ( relation_inverse_image('#skF_18',relation_image('#skF_18',singleton('#skF_5'('#skF_18')))) = '#skF_12' )
| one_to_one('#skF_18')
| ~ function('#skF_18')
| ~ relation('#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_16095,c_656]) ).
tff(c_16196,plain,
( ( relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_5'('#skF_18')))) = singleton('#skF_5'('#skF_18')) )
| ( relation_inverse_image('#skF_18',relation_image('#skF_18',singleton('#skF_5'('#skF_18')))) = '#skF_12' )
| one_to_one('#skF_18') ),
inference(demodulation,[status(thm),theory(equality)],[c_126,c_124,c_16150]) ).
tff(c_16197,plain,
( ( relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_5'('#skF_18')))) = singleton('#skF_5'('#skF_18')) )
| ( relation_inverse_image('#skF_18',relation_image('#skF_18',singleton('#skF_5'('#skF_18')))) = '#skF_12' ) ),
inference(negUnitSimplification,[status(thm)],[c_120,c_16196]) ).
tff(c_16227,plain,
relation_inverse_image('#skF_18',relation_image('#skF_18',singleton('#skF_5'('#skF_18')))) = '#skF_12',
inference(splitLeft,[status(thm)],[c_16197]) ).
tff(c_16274,plain,
( ( relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_5'('#skF_18')))) = '#skF_12' )
| one_to_one('#skF_18')
| ~ function('#skF_18')
| ~ relation('#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_4164,c_16227]) ).
tff(c_16299,plain,
( ( relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_5'('#skF_18')))) = '#skF_12' )
| one_to_one('#skF_18') ),
inference(demodulation,[status(thm),theory(equality)],[c_126,c_124,c_16274]) ).
tff(c_16300,plain,
relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_5'('#skF_18')))) = '#skF_12',
inference(negUnitSimplification,[status(thm)],[c_120,c_16299]) ).
tff(c_1185,plain,
! [A_214,D_215] :
( in(apply(A_214,D_215),relation_rng(A_214))
| ~ in(D_215,relation_dom(A_214))
| ~ function(A_214)
| ~ relation(A_214) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_118,plain,
! [B_70,A_69] :
( ( relation_inverse_image(B_70,singleton(A_69)) != empty_set )
| ~ in(A_69,relation_rng(B_70))
| ~ relation(B_70) ),
inference(cnfTransformation,[status(thm)],[f_192]) ).
tff(c_893,plain,
! [B_70,A_69] :
( ( relation_inverse_image(B_70,singleton(A_69)) != '#skF_12' )
| ~ in(A_69,relation_rng(B_70))
| ~ relation(B_70) ),
inference(demodulation,[status(thm),theory(equality)],[c_184,c_118]) ).
tff(c_120725,plain,
! [A_968,D_969] :
( ( relation_inverse_image(A_968,singleton(apply(A_968,D_969))) != '#skF_12' )
| ~ in(D_969,relation_dom(A_968))
| ~ function(A_968)
| ~ relation(A_968) ),
inference(resolution,[status(thm)],[c_1185,c_893]) ).
tff(c_120743,plain,
( ~ in('#skF_5'('#skF_18'),relation_dom('#skF_18'))
| ~ function('#skF_18')
| ~ relation('#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_16300,c_120725]) ).
tff(c_120774,plain,
~ in('#skF_5'('#skF_18'),relation_dom('#skF_18')),
inference(demodulation,[status(thm),theory(equality)],[c_126,c_124,c_120743]) ).
tff(c_120786,plain,
( one_to_one('#skF_18')
| ~ function('#skF_18')
| ~ relation('#skF_18') ),
inference(resolution,[status(thm)],[c_40,c_120774]) ).
tff(c_120792,plain,
one_to_one('#skF_18'),
inference(demodulation,[status(thm),theory(equality)],[c_126,c_124,c_120786]) ).
tff(c_120794,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_120792]) ).
tff(c_120796,plain,
relation_inverse_image('#skF_18',relation_image('#skF_18',singleton('#skF_5'('#skF_18')))) != '#skF_12',
inference(splitRight,[status(thm)],[c_16197]) ).
tff(c_120799,plain,
( ( relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_5'('#skF_18')))) != '#skF_12' )
| one_to_one('#skF_18')
| ~ function('#skF_18')
| ~ relation('#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_4164,c_120796]) ).
tff(c_120807,plain,
( ( relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_5'('#skF_18')))) != '#skF_12' )
| one_to_one('#skF_18') ),
inference(demodulation,[status(thm),theory(equality)],[c_126,c_124,c_120799]) ).
tff(c_120808,plain,
relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_5'('#skF_18')))) != '#skF_12',
inference(negUnitSimplification,[status(thm)],[c_120,c_120807]) ).
tff(c_120813,plain,
( ( relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_6'('#skF_18')))) != '#skF_12' )
| one_to_one('#skF_18')
| ~ function('#skF_18')
| ~ relation('#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_36,c_120808]) ).
tff(c_120818,plain,
one_to_one('#skF_18'),
inference(demodulation,[status(thm),theory(equality)],[c_126,c_124,c_16076,c_120813]) ).
tff(c_120820,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_120818]) ).
tff(c_120821,plain,
relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_6'('#skF_18')))) = singleton('#skF_6'('#skF_18')),
inference(splitRight,[status(thm)],[c_15979]) ).
tff(c_121735,plain,
! [A_979] :
( ( relation_image(A_979,singleton('#skF_5'(A_979))) = singleton(apply(A_979,'#skF_5'(A_979))) )
| one_to_one(A_979)
| ~ function(A_979)
| ~ relation(A_979) ),
inference(resolution,[status(thm)],[c_40,c_4107]) ).
tff(c_121794,plain,
( subset(relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_5'('#skF_18')))),singleton('#skF_5'('#skF_18')))
| one_to_one('#skF_18')
| ~ function('#skF_18')
| ~ relation('#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_121735,c_122]) ).
tff(c_121839,plain,
( subset(relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_5'('#skF_18')))),singleton('#skF_5'('#skF_18')))
| one_to_one('#skF_18') ),
inference(demodulation,[status(thm),theory(equality)],[c_126,c_124,c_121794]) ).
tff(c_121840,plain,
subset(relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_5'('#skF_18')))),singleton('#skF_5'('#skF_18'))),
inference(negUnitSimplification,[status(thm)],[c_120,c_121839]) ).
tff(c_122019,plain,
( subset(relation_inverse_image('#skF_18',singleton(apply('#skF_18','#skF_6'('#skF_18')))),singleton('#skF_5'('#skF_18')))
| one_to_one('#skF_18')
| ~ function('#skF_18')
| ~ relation('#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_36,c_121840]) ).
tff(c_122028,plain,
( subset(singleton('#skF_6'('#skF_18')),singleton('#skF_5'('#skF_18')))
| one_to_one('#skF_18') ),
inference(demodulation,[status(thm),theory(equality)],[c_126,c_124,c_120821,c_122019]) ).
tff(c_122029,plain,
subset(singleton('#skF_6'('#skF_18')),singleton('#skF_5'('#skF_18'))),
inference(negUnitSimplification,[status(thm)],[c_120,c_122028]) ).
tff(c_148,plain,
! [B_89,A_88] :
( ( B_89 = A_88 )
| ~ subset(singleton(A_88),singleton(B_89)) ),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_122176,plain,
'#skF_5'('#skF_18') = '#skF_6'('#skF_18'),
inference(resolution,[status(thm)],[c_122029,c_148]) ).
tff(c_122190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_728,c_122176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU072+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % 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
% 0.18/0.35 % Computer : n020.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Thu Aug 3 12:00:22 EDT 2023
% 0.18/0.35 % CPUTime :
% 31.81/16.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.81/16.80
% 31.81/16.80 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 31.81/16.84
% 31.81/16.84 Inference rules
% 31.81/16.84 ----------------------
% 31.81/16.84 #Ref : 4
% 31.81/16.84 #Sup : 37615
% 31.81/16.84 #Fact : 3
% 31.81/16.84 #Define : 0
% 31.81/16.84 #Split : 55
% 31.81/16.84 #Chain : 0
% 31.81/16.84 #Close : 0
% 31.81/16.84
% 31.81/16.84 Ordering : KBO
% 31.81/16.84
% 31.81/16.84 Simplification rules
% 31.81/16.84 ----------------------
% 31.81/16.84 #Subsume : 14277
% 31.81/16.84 #Demod : 11058
% 31.81/16.84 #Tautology : 3022
% 31.81/16.84 #SimpNegUnit : 500
% 31.81/16.84 #BackRed : 15
% 31.81/16.84
% 31.81/16.84 #Partial instantiations: 0
% 31.81/16.84 #Strategies tried : 1
% 31.81/16.84
% 31.81/16.84 Timing (in seconds)
% 31.81/16.84 ----------------------
% 31.81/16.84 Preprocessing : 0.64
% 31.81/16.84 Parsing : 0.32
% 31.81/16.84 CNF conversion : 0.06
% 31.81/16.84 Main loop : 15.11
% 31.81/16.84 Inferencing : 2.15
% 31.81/16.84 Reduction : 4.00
% 31.81/16.84 Demodulation : 2.90
% 31.81/16.84 BG Simplification : 0.25
% 31.81/16.84 Subsumption : 7.75
% 31.81/16.84 Abstraction : 0.30
% 31.81/16.84 MUC search : 0.00
% 31.81/16.84 Cooper : 0.00
% 31.81/16.84 Total : 15.81
% 31.81/16.84 Index Insertion : 0.00
% 31.81/16.84 Index Deletion : 0.00
% 31.81/16.84 Index Matching : 0.00
% 31.81/16.84 BG Taut test : 0.00
%------------------------------------------------------------------------------