TSTP Solution File: GEO305+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO305+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 : 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 10:39:02 EDT 2023
% Result : Theorem 17.90s 5.93s
% Output : CNFRefutation 18.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 96
% Syntax : Number of formulae : 116 ( 20 unt; 89 typ; 0 def)
% Number of atoms : 68 ( 15 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 65 ( 24 ~; 18 |; 22 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 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 : 75 ( 75 usr; 16 con; 0-18 aty)
% Number of variables : 17 (; 11 !; 6 ?; 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 > vd14 > vd1303 > vd1302 > vd1300 > vd1299 > vd1297 > vd1295 > vd1289 > vd1288 > vd1287 > v0 > #skF_30 > #skF_34 > #skF_43 > #skF_47 > #skF_53 > #skF_17 > #skF_20 > #skF_16 > #skF_18 > #skF_39 > #skF_13 > #skF_45 > #skF_51 > #skF_27 > #skF_14 > #skF_37 > #skF_52 > #skF_48 > #skF_42 > #skF_32 > #skF_10 > #skF_19 > #skF_26 > #skF_11 > #skF_33 > #skF_49 > #skF_2 > #skF_44 > #skF_3 > #skF_1 > #skF_36 > #skF_8 > #skF_40 > #skF_29 > #skF_41 > #skF_31 > #skF_38 > #skF_28 > #skF_50 > #skF_5 > #skF_46 > #skF_54 > #skF_12 > #skF_21 > #skF_25 > #skF_24 > #skF_7 > #skF_6 > #skF_35 > #skF_9 > #skF_22 > #skF_15 > #skF_4 > #skF_23
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v0,type,
v0: $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_30',type,
'#skF_30': ( $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(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(vtriangle,type,
vtriangle: ( $i * $i * $i ) > $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_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff(vd1300,type,
vd1300: $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i ) > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i * $i ) > $i ).
tff(vd1287,type,
vd1287: $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(vd1302,type,
vd1302: $i ).
tff('#skF_51',type,
'#skF_51': ( $i * $i * $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $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(vd1297,type,
vd1297: $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $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(vd1288,type,
vd1288: $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('#skF_3',type,
'#skF_3': $i ).
tff(vd1299,type,
vd1299: $i ).
tff(rleq,type,
rleq: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $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(vd1295,type,
vd1295: $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i * $i ) > $i ).
tff(vd1303,type,
vd1303: $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('#skF_12',type,
'#skF_12': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(vd684,type,
vd684: $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rgeq,type,
rgeq: ( $i * $i ) > $o ).
tff(rcenter,type,
rcenter: ( $i * $i ) > $o ).
tff(vd1289,type,
vd1289: $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_6',type,
'#skF_6': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $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(f_72,axiom,
( ( vf(vd1287,vd1288) = vf(vd1287,vd1289) )
& ( vd1288 != vd1289 )
& ( vd1287 != vd1289 )
& ( vd1287 != vd1288 )
& ? [Vd1293] :
( ( vd1289 = Vd1293 )
& rpoint(Vd1293) )
& ? [Vd1292] :
( ( vd1288 = Vd1292 )
& rpoint(Vd1292) )
& ? [Vd1291] :
( ( vd1287 = Vd1291 )
& rpoint(Vd1291) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and(holds(conjunct2(345),1294,0),and(pred(conjunct1(345),9),and(pred(conjunct1(345),8),and(pred(conjunct1(345),7),and(qe(s3(plural(345))),and(qe(s2(plural(345))),qe(s1(plural(345)))))))))) ).
tff(f_42,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(s2(plural(347)),0)) ).
tff(f_43,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(s1(plural(347)),0)) ).
tff(f_44,axiom,
rline(vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(347,0)) ).
tff(f_40,axiom,
( ( vd1302 = vd1303 )
& rR(vd1289,vd1287,vd1302)
& rpoint(vd1303)
& rR(vd1288,vd1287,vd1299) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and(pred(conjunct2(348),4),and(holds(conjunct2(348),1304,0),and(pred(conjunct2(348),1),holds(conjunct1(348),1301,0))))) ).
tff(f_99,axiom,
! [Vd352,Vd353,Vd354,Vd359,Vd360] :
( ( ( Vd359 = Vd360 )
& ron(Vd353,Vd359)
& ron(Vd352,Vd359)
& rR(Vd353,Vd352,Vd354)
& rline(Vd360)
& ? [Vd358] :
( ( Vd354 = Vd358 )
& rpoint(Vd358) )
& ? [Vd357] :
( ( Vd353 = Vd357 )
& rpoint(Vd357) )
& ? [Vd356] :
( ( Vd352 = Vd356 )
& rpoint(Vd356) ) )
=> ron(Vd354,Vd359) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(cond(axiom(83),0),imp(cond(axiom(83),0)))) ).
tff(f_31,negated_conjecture,
~ ron(vd1302,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred(conjunct2(349),0)) ).
tff(c_40,plain,
vd1289 = '#skF_3',
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_18,plain,
ron(vd1289,vd1297),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_598,plain,
ron('#skF_3',vd1297),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_18]) ).
tff(c_32,plain,
vd1287 = '#skF_1',
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_20,plain,
ron(vd1287,vd1297),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_597,plain,
ron('#skF_1',vd1297),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_20]) ).
tff(c_22,plain,
rline(vd1297),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_14,plain,
vd1303 = vd1302,
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_10,plain,
rpoint(vd1303),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_600,plain,
rpoint(vd1302),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_10]) ).
tff(c_38,plain,
rpoint('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_30,plain,
rpoint('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_12,plain,
rR(vd1289,vd1287,vd1302),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_599,plain,
rR('#skF_3','#skF_1',vd1302),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_40,c_12]) ).
tff(c_10085,plain,
! [Vd358_1525,Vd360_1526,Vd356_1527,Vd357_1528] :
( ron(Vd358_1525,Vd360_1526)
| ~ rpoint(Vd356_1527)
| ~ rpoint(Vd357_1528)
| ~ rpoint(Vd358_1525)
| ~ rline(Vd360_1526)
| ~ rR(Vd357_1528,Vd356_1527,Vd358_1525)
| ~ ron(Vd356_1527,Vd360_1526)
| ~ ron(Vd357_1528,Vd360_1526) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_10107,plain,
! [Vd360_1526] :
( ron(vd1302,Vd360_1526)
| ~ rpoint('#skF_1')
| ~ rpoint('#skF_3')
| ~ rpoint(vd1302)
| ~ rline(Vd360_1526)
| ~ ron('#skF_1',Vd360_1526)
| ~ ron('#skF_3',Vd360_1526) ),
inference(resolution,[status(thm)],[c_599,c_10085]) ).
tff(c_11366,plain,
! [Vd360_1556] :
( ron(vd1302,Vd360_1556)
| ~ rline(Vd360_1556)
| ~ ron('#skF_1',Vd360_1556)
| ~ ron('#skF_3',Vd360_1556) ),
inference(demodulation,[status(thm),theory(equality)],[c_600,c_38,c_30,c_10107]) ).
tff(c_2,plain,
~ ron(vd1302,vd1297),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_11383,plain,
( ~ rline(vd1297)
| ~ ron('#skF_1',vd1297)
| ~ ron('#skF_3',vd1297) ),
inference(resolution,[status(thm)],[c_11366,c_2]) ).
tff(c_11403,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_598,c_597,c_22,c_11383]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO305+1 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.15 % 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
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 4 00:39:21 EDT 2023
% 0.15/0.37 % CPUTime :
% 17.90/5.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.90/5.93
% 17.90/5.93 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.01/5.96
% 18.01/5.96 Inference rules
% 18.01/5.96 ----------------------
% 18.01/5.96 #Ref : 1
% 18.01/5.96 #Sup : 2734
% 18.01/5.96 #Fact : 2
% 18.01/5.96 #Define : 0
% 18.01/5.96 #Split : 22
% 18.01/5.96 #Chain : 0
% 18.01/5.96 #Close : 0
% 18.01/5.96
% 18.01/5.96 Ordering : KBO
% 18.01/5.96
% 18.01/5.96 Simplification rules
% 18.01/5.96 ----------------------
% 18.01/5.96 #Subsume : 96
% 18.01/5.96 #Demod : 1701
% 18.01/5.96 #Tautology : 698
% 18.01/5.96 #SimpNegUnit : 15
% 18.01/5.96 #BackRed : 59
% 18.01/5.96
% 18.01/5.96 #Partial instantiations: 0
% 18.01/5.96 #Strategies tried : 1
% 18.01/5.96
% 18.01/5.96 Timing (in seconds)
% 18.01/5.96 ----------------------
% 18.01/5.96 Preprocessing : 1.28
% 18.01/5.96 Parsing : 0.63
% 18.01/5.96 CNF conversion : 0.10
% 18.01/5.96 Main loop : 3.60
% 18.01/5.96 Inferencing : 0.93
% 18.01/5.96 Reduction : 1.35
% 18.01/5.96 Demodulation : 1.06
% 18.01/5.96 BG Simplification : 0.15
% 18.01/5.96 Subsumption : 1.00
% 18.01/5.96 Abstraction : 0.09
% 18.01/5.96 MUC search : 0.00
% 18.01/5.96 Cooper : 0.00
% 18.01/5.96 Total : 4.93
% 18.01/5.96 Index Insertion : 0.00
% 18.01/5.96 Index Deletion : 0.00
% 18.01/5.96 Index Matching : 0.00
% 18.01/5.96 BG Taut test : 0.00
%------------------------------------------------------------------------------