TSTP Solution File: GEO275+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO275+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n010.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 10:38:58 EDT 2023
% Result : Theorem 22.52s 8.70s
% Output : CNFRefutation 22.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 89
% Syntax : Number of formulae : 112 ( 16 unt; 83 typ; 0 def)
% Number of atoms : 78 ( 27 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 79 ( 30 ~; 28 |; 18 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 276 ( 68 >; 208 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 69 ( 69 usr; 15 con; 0-18 aty)
% Number of variables : 30 (; 23 !; 7 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rS > rR > ron > rless > rleq > rintersect > rinside > rgeq > rcenter > rtriangle > rreal > rpoint > rline > rcircle > vskolem1052 > vtriangle > vg > vangle > vplus > vf > #nlpp > vskolem1092 > vperp > vd684 > vd14 > vd1095 > vd1091 > vd1089 > vd1086 > vd1085 > vd1081 > vd1080 > v0 > #skF_35 > #skF_31 > #skF_41 > #skF_6 > #skF_34 > #skF_18 > #skF_39 > #skF_27 > #skF_44 > #skF_24 > #skF_47 > #skF_20 > #skF_45 > #skF_5 > #skF_13 > #skF_38 > #skF_15 > #skF_37 > #skF_12 > #skF_42 > #skF_25 > #skF_32 > #skF_10 > #skF_19 > #skF_26 > #skF_36 > #skF_49 > #skF_2 > #skF_16 > #skF_3 > #skF_1 > #skF_9 > #skF_29 > #skF_43 > #skF_51 > #skF_28 > #skF_46 > #skF_30 > #skF_50 > #skF_11 > #skF_17 > #skF_21 > #skF_7 > #skF_48 > #skF_40 > #skF_14 > #skF_22 > #skF_33 > #skF_4 > #skF_8 > #skF_23
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v0,type,
v0: $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(rS,type,
rS: ( $i * $i * $i ) > $o ).
tff(ron,type,
ron: ( $i * $i ) > $o ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i * $i ) > $i ).
tff(vg,type,
vg: ( $i * $i * $i ) > $i ).
tff(vd1091,type,
vd1091: $i ).
tff(vperp,type,
vperp: $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(vskolem1052,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(rline,type,
rline: $i > $o ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff(vtriangle,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i * $i ) > $i ).
tff(vskolem1092,type,
vskolem1092: $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i * $i * $i ) > $i ).
tff(vd1080,type,
vd1080: $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff(vd14,type,
vd14: $i ).
tff('#skF_38',type,
'#skF_38': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i ) > $i ).
tff(vd1085,type,
vd1085: $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i * $i ) > $i ).
tff(vf,type,
vf: ( $i * $i ) > $i ).
tff(rintersect,type,
rintersect: ( $i * $i ) > $o ).
tff('#skF_49',type,
'#skF_49': ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(rleq,type,
rleq: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rR,type,
rR: ( $i * $i * $i ) > $o ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i * $i ) > $i ).
tff(vd1081,type,
vd1081: $i ).
tff('#skF_51',type,
'#skF_51': ( $i * $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff(rcircle,type,
rcircle: $i > $o ).
tff('#skF_46',type,
'#skF_46': ( $i * $i * $i * $i ) > $i ).
tff(rpoint,type,
rpoint: $i > $o ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rless,type,
rless: ( $i * $i ) > $o ).
tff(vd1095,type,
vd1095: $i ).
tff(rreal,type,
rreal: $i > $o ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i * $i ) > $i ).
tff(vd684,type,
vd684: $i ).
tff(rgeq,type,
rgeq: ( $i * $i ) > $o ).
tff(rcenter,type,
rcenter: ( $i * $i ) > $o ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(vd1089,type,
vd1089: $i ).
tff(rtriangle,type,
rtriangle: $i > $o ).
tff(vangle,type,
vangle: ( $i * $i * $i ) > $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i * $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i ) > $i ).
tff(vd1086,type,
vd1086: $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i * $i ) > $i ).
tff(rinside,type,
rinside: ( $i * $i ) > $o ).
tff(f_38,negated_conjecture,
~ ! [Vdthex] :
( ( ron(vd1081,Vdthex)
& rcenter(vd1080,Vdthex)
& rcircle(Vdthex) )
=> ( Vdthex = vd1095 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qu(theu(the(228),1),imp(the(228)))) ).
tff(f_63,axiom,
? [Vd1084] :
( ( vd1081 = Vd1084 )
& rpoint(Vd1084) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qe(s2(plural(224)))) ).
tff(f_67,axiom,
? [Vd1083] :
( ( vd1080 = Vd1083 )
& rpoint(Vd1083) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qe(s1(plural(224)))) ).
tff(f_576,axiom,
! [Vd741,Vd742] :
( ( ? [Vd745] :
( ( Vd742 = Vd745 )
& rpoint(Vd745) )
& ? [Vd744] :
( ( Vd741 = Vd744 )
& rpoint(Vd744) ) )
=> ? [Vd747] :
( ( vf(Vd741,Vd742) = Vd747 )
& rreal(Vd747) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qu(cond(axiom(160),0),imp(cond(axiom(160),0)))) ).
tff(f_43,axiom,
( ron(vd1081,vd1095)
& rcenter(vd1080,vd1095)
& rcircle(vd1095) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and(pred(comma_conjunct2(the(228)),0),and(pred(comma_conjunct1(the(228)),0),pred(the(228),0)))) ).
tff(f_2356,axiom,
! [Vd837,Vd838,Vd842,Vd843,Vd844] :
( ( ( vf(Vd842,Vd837) = vf(Vd842,Vd838) )
& ron(Vd838,Vd844)
& ron(Vd837,Vd843)
& rcenter(Vd842,Vd844)
& rcenter(Vd842,Vd843)
& ? [Vd841] :
( ( Vd838 = Vd841 )
& rpoint(Vd841) )
& ? [Vd840] :
( ( Vd837 = Vd840 )
& rpoint(Vd840) ) )
=> ( Vd843 = Vd844 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qu(cond(axiom(182),0),imp(cond(axiom(182),0)))) ).
tff(c_2,plain,
vd1095 != '#skF_1',
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_28,plain,
rpoint('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_32,plain,
rpoint('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_1119,plain,
! [Vd744_1017,Vd745_1018] :
( ( vf(Vd744_1017,Vd745_1018) = '#skF_13'(Vd744_1017,Vd745_1018) )
| ~ rpoint(Vd744_1017)
| ~ rpoint(Vd745_1018) ),
inference(cnfTransformation,[status(thm)],[f_576]) ).
tff(c_1994,plain,
! [Vd745_1068] :
( ( vf('#skF_3',Vd745_1068) = '#skF_13'('#skF_3',Vd745_1068) )
| ~ rpoint(Vd745_1068) ),
inference(resolution,[status(thm)],[c_32,c_1119]) ).
tff(c_2056,plain,
vf('#skF_3','#skF_2') = '#skF_13'('#skF_3','#skF_2'),
inference(resolution,[status(thm)],[c_28,c_1994]) ).
tff(c_34,plain,
vd1080 = '#skF_3',
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_12,plain,
rcenter(vd1080,vd1095),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_566,plain,
rcenter('#skF_3',vd1095),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_12]) ).
tff(c_30,plain,
vd1081 = '#skF_2',
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_14,plain,
ron(vd1081,vd1095),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_565,plain,
ron('#skF_2',vd1095),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_14]) ).
tff(c_8,plain,
ron(vd1081,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_567,plain,
ron('#skF_2','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_8]) ).
tff(c_6,plain,
rcenter(vd1080,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_568,plain,
rcenter('#skF_3','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_6]) ).
tff(c_18296,plain,
! [Vd840_1553,Vd843_1552,Vd842_1549,Vd844_1551,Vd841_1550] :
( ( Vd844_1551 = Vd843_1552 )
| ~ rpoint(Vd840_1553)
| ~ rpoint(Vd841_1550)
| ~ rcenter(Vd842_1549,Vd843_1552)
| ~ rcenter(Vd842_1549,Vd844_1551)
| ~ ron(Vd840_1553,Vd843_1552)
| ~ ron(Vd841_1550,Vd844_1551)
| ( vf(Vd842_1549,Vd841_1550) != vf(Vd842_1549,Vd840_1553) ) ),
inference(cnfTransformation,[status(thm)],[f_2356]) ).
tff(c_18384,plain,
! [Vd844_1554,Vd840_1555,Vd841_1556] :
( ( Vd844_1554 = '#skF_1' )
| ~ rpoint(Vd840_1555)
| ~ rpoint(Vd841_1556)
| ~ rcenter('#skF_3',Vd844_1554)
| ~ ron(Vd840_1555,'#skF_1')
| ~ ron(Vd841_1556,Vd844_1554)
| ( vf('#skF_3',Vd841_1556) != vf('#skF_3',Vd840_1555) ) ),
inference(resolution,[status(thm)],[c_568,c_18296]) ).
tff(c_18446,plain,
! [Vd844_1554,Vd841_1556] :
( ( Vd844_1554 = '#skF_1' )
| ~ rpoint('#skF_2')
| ~ rpoint(Vd841_1556)
| ~ rcenter('#skF_3',Vd844_1554)
| ~ ron(Vd841_1556,Vd844_1554)
| ( vf('#skF_3',Vd841_1556) != vf('#skF_3','#skF_2') ) ),
inference(resolution,[status(thm)],[c_567,c_18384]) ).
tff(c_18631,plain,
! [Vd844_1561,Vd841_1562] :
( ( Vd844_1561 = '#skF_1' )
| ~ rpoint(Vd841_1562)
| ~ rcenter('#skF_3',Vd844_1561)
| ~ ron(Vd841_1562,Vd844_1561)
| ( vf('#skF_3',Vd841_1562) != '#skF_13'('#skF_3','#skF_2') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2056,c_28,c_18446]) ).
tff(c_18709,plain,
( ( vd1095 = '#skF_1' )
| ~ rpoint('#skF_2')
| ~ rcenter('#skF_3',vd1095)
| ( vf('#skF_3','#skF_2') != '#skF_13'('#skF_3','#skF_2') ) ),
inference(resolution,[status(thm)],[c_565,c_18631]) ).
tff(c_18744,plain,
vd1095 = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_2056,c_566,c_28,c_18709]) ).
tff(c_18746,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_18744]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO275+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 4 00:29:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 22.52/8.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.52/8.70
% 22.52/8.70 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 22.52/8.73
% 22.52/8.73 Inference rules
% 22.52/8.73 ----------------------
% 22.52/8.73 #Ref : 1
% 22.52/8.73 #Sup : 4729
% 22.52/8.73 #Fact : 2
% 22.52/8.73 #Define : 0
% 22.52/8.73 #Split : 16
% 22.52/8.73 #Chain : 0
% 22.52/8.73 #Close : 0
% 22.52/8.73
% 22.52/8.73 Ordering : KBO
% 22.52/8.73
% 22.52/8.73 Simplification rules
% 22.52/8.73 ----------------------
% 22.52/8.73 #Subsume : 285
% 22.52/8.73 #Demod : 2492
% 22.52/8.73 #Tautology : 1294
% 22.52/8.73 #SimpNegUnit : 25
% 22.52/8.73 #BackRed : 171
% 22.52/8.73
% 22.52/8.73 #Partial instantiations: 0
% 22.52/8.73 #Strategies tried : 1
% 22.52/8.73
% 22.52/8.73 Timing (in seconds)
% 22.52/8.73 ----------------------
% 22.52/8.73 Preprocessing : 1.19
% 22.52/8.73 Parsing : 0.56
% 22.52/8.73 CNF conversion : 0.10
% 22.52/8.73 Main loop : 6.48
% 22.52/8.73 Inferencing : 1.64
% 22.52/8.73 Reduction : 2.69
% 22.52/8.73 Demodulation : 2.19
% 22.52/8.73 BG Simplification : 0.16
% 22.52/8.73 Subsumption : 1.60
% 22.52/8.73 Abstraction : 0.13
% 22.52/8.73 MUC search : 0.00
% 22.52/8.73 Cooper : 0.00
% 22.52/8.73 Total : 7.71
% 22.52/8.73 Index Insertion : 0.00
% 22.52/8.73 Index Deletion : 0.00
% 22.52/8.74 Index Matching : 0.00
% 22.52/8.74 BG Taut test : 0.00
%------------------------------------------------------------------------------