TSTP Solution File: GEO344+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO344+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/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 : n016.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 23.90s 9.63s
% Output : CNFRefutation 23.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 96
% Syntax : Number of formulae : 119 ( 18 unt; 90 typ; 0 def)
% Number of atoms : 96 ( 32 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 108 ( 41 ~; 37 |; 28 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 1 ( 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 : 76 ( 76 usr; 17 con; 0-18 aty)
% Number of variables : 23 (; 16 !; 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 > vskolem1416 > vperp > vd684 > vd1419 > vd1415 > vd1409 > vd1407 > vd1406 > vd1401 > vd1400 > vd14 > vd1399 > v0 > #skF_33 > #skF_47 > #skF_49 > #skF_22 > #skF_17 > #skF_44 > #skF_23 > #skF_30 > #skF_6 > #skF_9 > #skF_34 > #skF_39 > #skF_13 > #skF_45 > #skF_26 > #skF_27 > #skF_24 > #skF_53 > #skF_16 > #skF_20 > #skF_36 > #skF_14 > #skF_52 > #skF_32 > #skF_19 > #skF_41 > #skF_54 > #skF_2 > #skF_8 > #skF_10 > #skF_3 > #skF_1 > #skF_11 > #skF_7 > #skF_12 > #skF_51 > #skF_29 > #skF_31 > #skF_15 > #skF_43 > #skF_46 > #skF_28 > #skF_50 > #skF_4 > #skF_55 > #skF_25 > #skF_38 > #skF_18 > #skF_37 > #skF_42 > #skF_35 > #skF_48 > #skF_40 > #skF_21 > #skF_5
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v0,type,
v0: $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i * $i ) > $i ).
tff(rS,type,
rS: ( $i * $i * $i ) > $o ).
tff(ron,type,
ron: ( $i * $i ) > $o ).
tff('#skF_47',type,
'#skF_47': ( $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': ( $i * $i * $i ) > $i ).
tff(vskolem1120,type,
vskolem1120: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i * $i ) > $i ).
tff(vg,type,
vg: ( $i * $i * $i ) > $i ).
tff(vperp,type,
vperp: $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i * $i ) > $i ).
tff(vskolem1052,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(rline,type,
rline: $i > $o ).
tff('#skF_26',type,
'#skF_26': ( $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff(vd1407,type,
vd1407: $i ).
tff(vtriangle,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i * $i ) > $i ).
tff(vd1409,type,
vd1409: $i ).
tff('#skF_53',type,
'#skF_53': ( $i * $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff(vskolem1416,type,
vskolem1416: $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vd14,type,
vd14: $i ).
tff(vd1415,type,
vd1415: $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_52',type,
'#skF_52': ( $i * $i * $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(vf,type,
vf: ( $i * $i ) > $i ).
tff('#skF_54',type,
'#skF_54': ( $i * $i * $i * $i ) > $i ).
tff(rintersect,type,
rintersect: ( $i * $i ) > $o ).
tff(vskolem1078,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(vd1401,type,
vd1401: $i ).
tff('#skF_10',type,
'#skF_10': ( $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_11',type,
'#skF_11': ( $i * $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_51',type,
'#skF_51': ( $i * $i ) > $i ).
tff(rR,type,
rR: ( $i * $i * $i ) > $o ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vd1400,type,
vd1400: $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i * $i * $i ) > $i ).
tff(rcircle,type,
rcircle: $i > $o ).
tff(vd1419,type,
vd1419: $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i * $i * $i ) > $i ).
tff(rpoint,type,
rpoint: $i > $o ).
tff('#skF_28',type,
'#skF_28': ( $i * $i * $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i ) > $i ).
tff(rless,type,
rless: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_55',type,
'#skF_55': ( $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i ) > $i ).
tff(rreal,type,
rreal: $i > $o ).
tff('#skF_38',type,
'#skF_38': ( $i * $i * $i * $i ) > $i ).
tff(vd684,type,
vd684: $i ).
tff(rgeq,type,
rgeq: ( $i * $i ) > $o ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rcenter,type,
rcenter: ( $i * $i ) > $o ).
tff(vd1406,type,
vd1406: $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i * $i * $i * $i ) > $i ).
tff(rtriangle,type,
rtriangle: $i > $o ).
tff(vangle,type,
vangle: ( $i * $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $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_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff(rinside,type,
rinside: ( $i * $i ) > $o ).
tff(vd1399,type,
vd1399: $i ).
tff(f_91,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/sandbox/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_59,axiom,
vd1409 != vd1401,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',holds(conjunct2(conjunct2(conjunct2(406))),1413,0)) ).
tff(f_38,negated_conjecture,
~ ! [Vdthex] :
( ( ron(vd1409,Vdthex)
& ron(vd1401,Vdthex)
& rline(Vdthex) )
=> ( Vdthex = vd1419 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(theu(the(409),1),imp(the(409)))) ).
tff(f_43,axiom,
( ron(vd1409,vd1419)
& ron(vd1401,vd1419)
& rline(vd1419) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and(pred(s2(plural(the(409))),0),and(pred(s1(plural(the(409))),0),pred(the(409),0)))) ).
tff(f_60,axiom,
rpoint(vd1409),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(406,0)) ).
tff(f_176,axiom,
! [Vd314,Vd315,Vd319,Vd320] :
( ( ron(Vd315,Vd320)
& ron(Vd315,Vd319)
& ron(Vd314,Vd320)
& ron(Vd314,Vd319)
& ? [Vd324] :
( ( Vd320 = Vd324 )
& rline(Vd324) )
& ? [Vd323] :
( ( Vd319 = Vd323 )
& rline(Vd323) )
& ( Vd314 != Vd315 )
& ? [Vd318] :
( ( Vd315 = Vd318 )
& rpoint(Vd318) )
& ? [Vd317] :
( ( Vd314 = Vd317 )
& rpoint(Vd317) ) )
=> ( Vd319 = Vd320 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(cond(axiom(73),0),imp(cond(axiom(73),0)))) ).
tff(c_40,plain,
vd1401 = '#skF_4',
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_26,plain,
vd1409 != vd1401,
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_622,plain,
vd1409 != '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_40,c_26]) ).
tff(c_6,plain,
ron(vd1401,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_631,plain,
ron('#skF_4','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_6]) ).
tff(c_38,plain,
rpoint('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_12,plain,
ron(vd1401,vd1419),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_630,plain,
ron('#skF_4',vd1419),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_12]) ).
tff(c_2,plain,
vd1419 != '#skF_1',
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_10,plain,
rline(vd1419),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_14,plain,
ron(vd1409,vd1419),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_4,plain,
rline('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_28,plain,
rpoint(vd1409),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_8,plain,
ron(vd1409,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_20814,plain,
! [Vd324_1742,Vd323_1743,Vd317_1744,Vd318_1745] :
( ( Vd324_1742 = Vd323_1743 )
| ~ rpoint(Vd317_1744)
| ~ rpoint(Vd318_1745)
| ( Vd318_1745 = Vd317_1744 )
| ~ rline(Vd323_1743)
| ~ rline(Vd324_1742)
| ~ ron(Vd317_1744,Vd323_1743)
| ~ ron(Vd317_1744,Vd324_1742)
| ~ ron(Vd318_1745,Vd323_1743)
| ~ ron(Vd318_1745,Vd324_1742) ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_20876,plain,
! [Vd324_1742,Vd318_1745] :
( ( Vd324_1742 = '#skF_1' )
| ~ rpoint(vd1409)
| ~ rpoint(Vd318_1745)
| ( vd1409 = Vd318_1745 )
| ~ rline('#skF_1')
| ~ rline(Vd324_1742)
| ~ ron(vd1409,Vd324_1742)
| ~ ron(Vd318_1745,'#skF_1')
| ~ ron(Vd318_1745,Vd324_1742) ),
inference(resolution,[status(thm)],[c_8,c_20814]) ).
tff(c_21581,plain,
! [Vd324_1755,Vd318_1756] :
( ( Vd324_1755 = '#skF_1' )
| ~ rpoint(Vd318_1756)
| ( vd1409 = Vd318_1756 )
| ~ rline(Vd324_1755)
| ~ ron(vd1409,Vd324_1755)
| ~ ron(Vd318_1756,'#skF_1')
| ~ ron(Vd318_1756,Vd324_1755) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_28,c_20876]) ).
tff(c_21592,plain,
! [Vd318_1756] :
( ( vd1419 = '#skF_1' )
| ~ rpoint(Vd318_1756)
| ( vd1409 = Vd318_1756 )
| ~ rline(vd1419)
| ~ ron(Vd318_1756,'#skF_1')
| ~ ron(Vd318_1756,vd1419) ),
inference(resolution,[status(thm)],[c_14,c_21581]) ).
tff(c_21606,plain,
! [Vd318_1756] :
( ( vd1419 = '#skF_1' )
| ~ rpoint(Vd318_1756)
| ( vd1409 = Vd318_1756 )
| ~ ron(Vd318_1756,'#skF_1')
| ~ ron(Vd318_1756,vd1419) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_21592]) ).
tff(c_22107,plain,
! [Vd318_1764] :
( ~ rpoint(Vd318_1764)
| ( vd1409 = Vd318_1764 )
| ~ ron(Vd318_1764,'#skF_1')
| ~ ron(Vd318_1764,vd1419) ),
inference(negUnitSimplification,[status(thm)],[c_2,c_21606]) ).
tff(c_22193,plain,
( ~ rpoint('#skF_4')
| ( vd1409 = '#skF_4' )
| ~ ron('#skF_4','#skF_1') ),
inference(resolution,[status(thm)],[c_630,c_22107]) ).
tff(c_22236,plain,
vd1409 = '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_631,c_38,c_22193]) ).
tff(c_22238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_622,c_22236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO344+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/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
% 0.13/0.35 % Computer : n016.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 01:15:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 23.90/9.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.90/9.63
% 23.90/9.63 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 23.90/9.66
% 23.90/9.66 Inference rules
% 23.90/9.66 ----------------------
% 23.90/9.66 #Ref : 1
% 23.90/9.66 #Sup : 5492
% 23.90/9.66 #Fact : 2
% 23.90/9.66 #Define : 0
% 23.90/9.66 #Split : 24
% 23.90/9.66 #Chain : 0
% 23.90/9.66 #Close : 0
% 23.90/9.66
% 23.90/9.66 Ordering : KBO
% 23.90/9.66
% 23.90/9.66 Simplification rules
% 23.90/9.66 ----------------------
% 23.90/9.66 #Subsume : 381
% 23.90/9.66 #Demod : 3039
% 23.90/9.66 #Tautology : 1453
% 23.90/9.66 #SimpNegUnit : 88
% 23.90/9.66 #BackRed : 217
% 23.90/9.66
% 23.90/9.66 #Partial instantiations: 0
% 23.90/9.66 #Strategies tried : 1
% 23.90/9.66
% 23.90/9.66 Timing (in seconds)
% 23.90/9.66 ----------------------
% 23.90/9.66 Preprocessing : 1.33
% 23.90/9.66 Parsing : 0.65
% 23.90/9.66 CNF conversion : 0.11
% 23.90/9.66 Main loop : 7.17
% 23.90/9.66 Inferencing : 1.64
% 23.90/9.66 Reduction : 3.15
% 23.90/9.66 Demodulation : 2.58
% 23.90/9.67 BG Simplification : 0.19
% 23.90/9.67 Subsumption : 1.79
% 23.90/9.67 Abstraction : 0.16
% 23.90/9.67 MUC search : 0.00
% 23.90/9.67 Cooper : 0.00
% 23.90/9.67 Total : 8.55
% 23.90/9.67 Index Insertion : 0.00
% 23.90/9.67 Index Deletion : 0.00
% 23.90/9.67 Index Matching : 0.00
% 23.90/9.67 BG Taut test : 0.00
%------------------------------------------------------------------------------