TSTP Solution File: GEO342+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO342+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 : n011.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 10:39:04 EDT 2023
% Result : Theorem 10.16s 3.63s
% Output : CNFRefutation 10.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 89
% Syntax : Number of formulae : 109 ( 10 unt; 86 typ; 0 def)
% Number of atoms : 70 ( 24 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 81 ( 34 ~; 26 |; 20 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 306 ( 73 >; 233 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 72 ( 72 usr; 13 con; 0-18 aty)
% Number of variables : 19 (; 12 !; 7 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rS > rR > ron > rless > rleq > rintersect > rinside > rgeq > rcenter > rtriangle > rreal > rpoint > rline > rcircle > vskolem1120 > vskolem1078 > vskolem1052 > vtriangle > vg > vangle > vplus > vf > #nlpp > vperp > vd684 > vd1409 > vd1407 > vd1406 > vd1401 > vd1400 > vd14 > vd1399 > v0 > #skF_24 > #skF_34 > #skF_43 > #skF_21 > #skF_27 > #skF_30 > #skF_47 > #skF_53 > #skF_17 > #skF_14 > #skF_18 > #skF_19 > #skF_39 > #skF_13 > #skF_45 > #skF_51 > #skF_20 > #skF_37 > #skF_52 > #skF_12 > #skF_48 > #skF_42 > #skF_25 > #skF_32 > #skF_10 > #skF_26 > #skF_11 > #skF_33 > #skF_49 > #skF_2 > #skF_44 > #skF_3 > #skF_1 > #skF_9 > #skF_36 > #skF_8 > #skF_40 > #skF_41 > #skF_31 > #skF_38 > #skF_28 > #skF_50 > #skF_5 > #skF_46 > #skF_54 > #skF_7 > #skF_29 > #skF_6 > #skF_16 > #skF_35 > #skF_22 > #skF_15 > #skF_4 > #skF_23
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v0,type,
v0: $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rS,type,
rS: ( $i * $i * $i ) > $o ).
tff(ron,type,
ron: ( $i * $i ) > $o ).
tff(vskolem1120,type,
vskolem1120: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vg,type,
vg: ( $i * $i * $i ) > $i ).
tff(vperp,type,
vperp: $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(vd1407,type,
vd1407: $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i ) > $i ).
tff(vtriangle,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(vd1409,type,
vd1409: $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i * $i * $i ) > $i ).
tff('#skF_53',type,
'#skF_53': ( $i * $i * $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i ) > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i * $i * $i ) > $i ).
tff(vd14,type,
vd14: $i ).
tff('#skF_51',type,
'#skF_51': ( $i * $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i * $i * $i ) > $i ).
tff('#skF_52',type,
'#skF_52': ( $i * $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $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_26',type,
'#skF_26': ( $i * $i * $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vf,type,
vf: ( $i * $i ) > $i ).
tff(rintersect,type,
rintersect: ( $i * $i ) > $o ).
tff('#skF_33',type,
'#skF_33': ( $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': ( $i * $i ) > $i ).
tff(vskolem1078,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(vd1401,type,
vd1401: $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('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(rR,type,
rR: ( $i * $i * $i ) > $o ).
tff(vd1400,type,
vd1400: $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i * $i ) > $i ).
tff(rcircle,type,
rcircle: $i > $o ).
tff(rpoint,type,
rpoint: $i > $o ).
tff('#skF_38',type,
'#skF_38': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i * $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i ) > $i ).
tff(rless,type,
rless: ( $i * $i ) > $o ).
tff('#skF_54',type,
'#skF_54': ( $i * $i * $i ) > $i ).
tff(rreal,type,
rreal: $i > $o ).
tff(vd684,type,
vd684: $i ).
tff(rgeq,type,
rgeq: ( $i * $i ) > $o ).
tff(rcenter,type,
rcenter: ( $i * $i ) > $o ).
tff(vd1406,type,
vd1406: $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(rtriangle,type,
rtriangle: $i > $o ).
tff(vangle,type,
vangle: ( $i * $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $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(vd1399,type,
vd1399: $i ).
tff(f_74,axiom,
( ( vd1406 = vd1407 )
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& ( vd1400 != vd1401 )
& ( vd1399 != vd1401 )
& ( vd1399 != vd1400 )
& ? [Vd1405] :
( ( vd1401 = Vd1405 )
& rpoint(Vd1405) )
& ? [Vd1404] :
( ( vd1400 = Vd1404 )
& rpoint(Vd1404) )
& ? [Vd1403] :
( ( vd1399 = Vd1403 )
& rpoint(Vd1403) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and(pred(conjunct2(405),5),and(pred(s2(plural(conjunct2(405))),0),and(pred(s1(plural(conjunct2(405))),0),and(pred(conjunct2(405),1),and(pred(conjunct1(405),9),and(pred(conjunct1(405),8),and(pred(conjunct1(405),7),and(qe(s3(plural(405))),and(qe(s2(plural(405))),qe(s1(plural(405))))))))))))) ).
tff(f_793,axiom,
! [Vd217,Vd218] :
( ( ( Vd217 != Vd218 )
& ? [Vd221] :
( ( Vd218 = Vd221 )
& rpoint(Vd221) )
& ? [Vd220] :
( ( Vd217 = Vd220 )
& rpoint(Vd220) ) )
=> ? [Vd223] :
( ron(Vd218,Vd223)
& ron(Vd217,Vd223)
& rline(Vd223) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qu(cond(axiom(51),0),imp(cond(axiom(51),0)))) ).
tff(f_36,negated_conjecture,
~ ? [Vd1416] :
( ron(vd1399,Vd1416)
& ron(vd1401,Vd1416)
& rline(Vd1416) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qe(thee(the(408),1))) ).
tff(c_18,plain,
vd1399 = '#skF_1',
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_26,plain,
vd1401 = '#skF_3',
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_30,plain,
vd1401 != vd1399,
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_586,plain,
vd1399 != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_26,c_30]) ).
tff(c_591,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_18,c_586]) ).
tff(c_24,plain,
rpoint('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_16,plain,
rpoint('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_126,plain,
! [Vd220_261,Vd221_260] :
( rline('#skF_8'(Vd220_261,Vd221_260))
| ~ rpoint(Vd220_261)
| ~ rpoint(Vd221_260)
| ( Vd221_260 = Vd220_261 ) ),
inference(cnfTransformation,[status(thm)],[f_793]) ).
tff(c_1702,plain,
! [Vd220_1195,Vd221_1196] :
( ron(Vd220_1195,'#skF_8'(Vd220_1195,Vd221_1196))
| ~ rpoint(Vd220_1195)
| ~ rpoint(Vd221_1196)
| ( Vd221_1196 = Vd220_1195 ) ),
inference(cnfTransformation,[status(thm)],[f_793]) ).
tff(c_1646,plain,
! [Vd221_1192,Vd220_1193] :
( ron(Vd221_1192,'#skF_8'(Vd220_1193,Vd221_1192))
| ~ rpoint(Vd220_1193)
| ~ rpoint(Vd221_1192)
| ( Vd221_1192 = Vd220_1193 ) ),
inference(cnfTransformation,[status(thm)],[f_793]) ).
tff(c_2,plain,
! [Vd1416_1] :
( ~ rline(Vd1416_1)
| ~ ron(vd1401,Vd1416_1)
| ~ ron(vd1399,Vd1416_1) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_598,plain,
! [Vd1416_1] :
( ~ rline(Vd1416_1)
| ~ ron('#skF_3',Vd1416_1)
| ~ ron('#skF_1',Vd1416_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_26,c_2]) ).
tff(c_1653,plain,
! [Vd220_1193] :
( ~ rline('#skF_8'(Vd220_1193,'#skF_3'))
| ~ ron('#skF_1','#skF_8'(Vd220_1193,'#skF_3'))
| ~ rpoint(Vd220_1193)
| ~ rpoint('#skF_3')
| ( Vd220_1193 = '#skF_3' ) ),
inference(resolution,[status(thm)],[c_1646,c_598]) ).
tff(c_1657,plain,
! [Vd220_1193] :
( ~ rline('#skF_8'(Vd220_1193,'#skF_3'))
| ~ ron('#skF_1','#skF_8'(Vd220_1193,'#skF_3'))
| ~ rpoint(Vd220_1193)
| ( Vd220_1193 = '#skF_3' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_1653]) ).
tff(c_1706,plain,
( ~ rline('#skF_8'('#skF_1','#skF_3'))
| ~ rpoint('#skF_1')
| ~ rpoint('#skF_3')
| ( '#skF_3' = '#skF_1' ) ),
inference(resolution,[status(thm)],[c_1702,c_1657]) ).
tff(c_1716,plain,
( ~ rline('#skF_8'('#skF_1','#skF_3'))
| ( '#skF_3' = '#skF_1' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_16,c_1706]) ).
tff(c_1717,plain,
~ rline('#skF_8'('#skF_1','#skF_3')),
inference(negUnitSimplification,[status(thm)],[c_591,c_1716]) ).
tff(c_1724,plain,
( ~ rpoint('#skF_1')
| ~ rpoint('#skF_3')
| ( '#skF_3' = '#skF_1' ) ),
inference(resolution,[status(thm)],[c_126,c_1717]) ).
tff(c_1727,plain,
'#skF_3' = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_24,c_16,c_1724]) ).
tff(c_1729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_591,c_1727]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO342+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 4 00:23:51 EDT 2023
% 0.14/0.37 % CPUTime :
% 10.16/3.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.16/3.64
% 10.16/3.64 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.16/3.67
% 10.16/3.67 Inference rules
% 10.16/3.67 ----------------------
% 10.16/3.67 #Ref : 0
% 10.16/3.67 #Sup : 316
% 10.16/3.67 #Fact : 0
% 10.16/3.67 #Define : 0
% 10.16/3.67 #Split : 7
% 10.16/3.67 #Chain : 0
% 10.16/3.67 #Close : 0
% 10.16/3.67
% 10.16/3.67 Ordering : KBO
% 10.16/3.67
% 10.16/3.67 Simplification rules
% 10.16/3.67 ----------------------
% 10.16/3.67 #Subsume : 2
% 10.16/3.67 #Demod : 103
% 10.16/3.67 #Tautology : 111
% 10.16/3.67 #SimpNegUnit : 5
% 10.16/3.67 #BackRed : 3
% 10.16/3.67
% 10.16/3.67 #Partial instantiations: 0
% 10.16/3.67 #Strategies tried : 1
% 10.16/3.67
% 10.16/3.67 Timing (in seconds)
% 10.16/3.67 ----------------------
% 10.16/3.68 Preprocessing : 1.38
% 10.16/3.68 Parsing : 0.61
% 10.16/3.68 CNF conversion : 0.13
% 10.16/3.68 Main loop : 1.10
% 10.16/3.68 Inferencing : 0.20
% 10.16/3.68 Reduction : 0.34
% 10.16/3.68 Demodulation : 0.24
% 10.16/3.68 BG Simplification : 0.14
% 10.16/3.68 Subsumption : 0.44
% 10.16/3.68 Abstraction : 0.03
% 10.16/3.68 MUC search : 0.00
% 10.16/3.68 Cooper : 0.00
% 10.16/3.68 Total : 2.53
% 10.16/3.68 Index Insertion : 0.00
% 10.16/3.68 Index Deletion : 0.00
% 10.16/3.68 Index Matching : 0.00
% 10.16/3.68 BG Taut test : 0.00
%------------------------------------------------------------------------------