TSTP Solution File: GEO271+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO271+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 : n002.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 10:38:57 EDT 2023
% Result : Theorem 23.78s 8.99s
% Output : CNFRefutation 23.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 82
% Syntax : Number of formulae : 103 ( 14 unt; 77 typ; 0 def)
% Number of atoms : 77 ( 28 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 82 ( 31 ~; 28 |; 20 &)
% ( 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 : 272 ( 67 >; 205 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 63 ( 63 usr; 10 con; 0-18 aty)
% Number of variables : 28 (; 23 !; 5 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rS > rR > ron > rless > rleq > rintersect > rinside > rgeq > rcenter > rtriangle > rreal > rpoint > rline > rcircle > vtriangle > vg > vangle > vplus > vf > #nlpp > vperp > vd684 > vd14 > vd1061 > vd1058 > vd1057 > vd1056 > vd1055 > v0 > #skF_33 > #skF_17 > #skF_4 > #skF_2 > #skF_22 > #skF_6 > #skF_44 > #skF_47 > #skF_10 > #skF_9 > #skF_48 > #skF_16 > #skF_34 > #skF_18 > #skF_35 > #skF_19 > #skF_3 > #skF_39 > #skF_13 > #skF_45 > #skF_8 > #skF_20 > #skF_14 > #skF_41 > #skF_15 > #skF_30 > #skF_11 > #skF_25 > #skF_26 > #skF_5 > #skF_37 > #skF_49 > #skF_1 > #skF_12 > #skF_31 > #skF_24 > #skF_23 > #skF_46 > #skF_38 > #skF_28 > #skF_29 > #skF_21 > #skF_40 > #skF_36 > #skF_43 > #skF_7 > #skF_27 > #skF_42 > #skF_32
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(v0,type,
v0: $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $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('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(vg,type,
vg: ( $i * $i * $i ) > $i ).
tff(vperp,type,
vperp: $i ).
tff(rline,type,
rline: $i > $o ).
tff(vtriangle,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i ) > $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i * $i ) > $i ).
tff(vd1057,type,
vd1057: $i ).
tff(vplus,type,
vplus: ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i * $i ) > $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i ) > $i ).
tff(vd1058,type,
vd1058: $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(vd1055,type,
vd1055: $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $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(vd1061,type,
vd1061: $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i ) > $i ).
tff(vd1056,type,
vd1056: $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i ) > $i ).
tff(vf,type,
vf: ( $i * $i ) > $i ).
tff(rintersect,type,
rintersect: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': ( $i * $i ) > $i ).
tff(rleq,type,
rleq: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rR,type,
rR: ( $i * $i * $i ) > $o ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff(rcircle,type,
rcircle: $i > $o ).
tff('#skF_23',type,
'#skF_23': ( $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i * $i * $i ) > $i ).
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_29',type,
'#skF_29': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(rless,type,
rless: ( $i * $i ) > $o ).
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('#skF_40',type,
'#skF_40': ( $i * $i ) > $i ).
tff(rcenter,type,
rcenter: ( $i * $i ) > $o ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i ) > $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_27',type,
'#skF_27': ( $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i * $i ) > $i ).
tff(rinside,type,
rinside: ( $i * $i ) > $o ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(f_38,negated_conjecture,
~ ! [Vdthex] :
( ( ron(vd1057,Vdthex)
& rcenter(vd1055,Vdthex)
& rcircle(Vdthex) )
=> ( Vdthex = vd1061 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(theu(the(211),1),imp(the(211)))) ).
tff(f_53,axiom,
( ( vd1057 = vd1058 )
& ( vd1055 != vd1057 )
& rpoint(vd1058)
& ( vd1055 = vd1056 )
& rpoint(vd1056) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and(pred(conjunct2(210),4),and(holds(conjunct2(210),1059,0),and(pred(conjunct2(210),1),and(pred(conjunct1(210),2),pred(conjunct1(210),1)))))) ).
tff(f_804,axiom,
! [Vd741,Vd742] :
( ( ? [Vd745] :
( ( Vd742 = Vd745 )
& rpoint(Vd745) )
& ? [Vd744] :
( ( Vd741 = Vd744 )
& rpoint(Vd744) ) )
=> ? [Vd747] :
( ( vf(Vd741,Vd742) = Vd747 )
& rreal(Vd747) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qu(cond(axiom(160),0),imp(cond(axiom(160),0)))) ).
tff(f_43,axiom,
( ron(vd1057,vd1061)
& rcenter(vd1055,vd1061)
& rcircle(vd1061) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and(pred(comma_conjunct2(the(211)),0),and(pred(comma_conjunct1(the(211)),0),pred(the(211),0)))) ).
tff(f_601,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/sandbox/benchmark/theBenchmark.p',qu(cond(axiom(182),0),imp(cond(axiom(182),0)))) ).
tff(c_2,plain,
vd1061 != '#skF_1',
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_24,plain,
vd1058 = vd1057,
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_20,plain,
rpoint(vd1058),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_522,plain,
rpoint(vd1057),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_20]) ).
tff(c_18,plain,
vd1056 = vd1055,
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_16,plain,
rpoint(vd1056),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_523,plain,
rpoint(vd1055),
inference(demodulation,[status(thm),theory(equality)],[c_18,c_16]) ).
tff(c_832,plain,
! [Vd744_996,Vd745_997] :
( ( vf(Vd744_996,Vd745_997) = '#skF_6'(Vd744_996,Vd745_997) )
| ~ rpoint(Vd744_996)
| ~ rpoint(Vd745_997) ),
inference(cnfTransformation,[status(thm)],[f_804]) ).
tff(c_943,plain,
! [Vd745_1004] :
( ( vf(vd1055,Vd745_1004) = '#skF_6'(vd1055,Vd745_1004) )
| ~ rpoint(Vd745_1004) ),
inference(resolution,[status(thm)],[c_523,c_832]) ).
tff(c_981,plain,
vf(vd1055,vd1057) = '#skF_6'(vd1055,vd1057),
inference(resolution,[status(thm)],[c_522,c_943]) ).
tff(c_12,plain,
rcenter(vd1055,vd1061),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_14,plain,
ron(vd1057,vd1061),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_8,plain,
ron(vd1057,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_6,plain,
rcenter(vd1055,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_21565,plain,
! [Vd841_1703,Vd842_1704,Vd843_1705,Vd840_1701,Vd844_1702] :
( ( Vd844_1702 = Vd843_1705 )
| ~ rpoint(Vd840_1701)
| ~ rpoint(Vd841_1703)
| ~ rcenter(Vd842_1704,Vd843_1705)
| ~ rcenter(Vd842_1704,Vd844_1702)
| ~ ron(Vd840_1701,Vd843_1705)
| ~ ron(Vd841_1703,Vd844_1702)
| ( vf(Vd842_1704,Vd841_1703) != vf(Vd842_1704,Vd840_1701) ) ),
inference(cnfTransformation,[status(thm)],[f_601]) ).
tff(c_21667,plain,
! [Vd844_1707,Vd840_1708,Vd841_1709] :
( ( Vd844_1707 = '#skF_1' )
| ~ rpoint(Vd840_1708)
| ~ rpoint(Vd841_1709)
| ~ rcenter(vd1055,Vd844_1707)
| ~ ron(Vd840_1708,'#skF_1')
| ~ ron(Vd841_1709,Vd844_1707)
| ( vf(vd1055,Vd841_1709) != vf(vd1055,Vd840_1708) ) ),
inference(resolution,[status(thm)],[c_6,c_21565]) ).
tff(c_21729,plain,
! [Vd844_1707,Vd841_1709] :
( ( Vd844_1707 = '#skF_1' )
| ~ rpoint(vd1057)
| ~ rpoint(Vd841_1709)
| ~ rcenter(vd1055,Vd844_1707)
| ~ ron(Vd841_1709,Vd844_1707)
| ( vf(vd1055,vd1057) != vf(vd1055,Vd841_1709) ) ),
inference(resolution,[status(thm)],[c_8,c_21667]) ).
tff(c_22119,plain,
! [Vd844_1716,Vd841_1717] :
( ( Vd844_1716 = '#skF_1' )
| ~ rpoint(Vd841_1717)
| ~ rcenter(vd1055,Vd844_1716)
| ~ ron(Vd841_1717,Vd844_1716)
| ( vf(vd1055,Vd841_1717) != '#skF_6'(vd1055,vd1057) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_981,c_522,c_21729]) ).
tff(c_22191,plain,
( ( vd1061 = '#skF_1' )
| ~ rpoint(vd1057)
| ~ rcenter(vd1055,vd1061)
| ( vf(vd1055,vd1057) != '#skF_6'(vd1055,vd1057) ) ),
inference(resolution,[status(thm)],[c_14,c_22119]) ).
tff(c_22220,plain,
vd1061 = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_981,c_12,c_522,c_22191]) ).
tff(c_22222,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_22220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO271+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
% 0.14/0.36 % Computer : n002.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 00:31:31 EDT 2023
% 0.14/0.36 % CPUTime :
% 23.78/8.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.78/8.99
% 23.78/8.99 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 23.88/9.02
% 23.88/9.02 Inference rules
% 23.88/9.02 ----------------------
% 23.88/9.02 #Ref : 1
% 23.88/9.02 #Sup : 5344
% 23.88/9.02 #Fact : 2
% 23.88/9.02 #Define : 0
% 23.88/9.02 #Split : 14
% 23.88/9.02 #Chain : 0
% 23.88/9.02 #Close : 0
% 23.88/9.02
% 23.88/9.02 Ordering : KBO
% 23.88/9.02
% 23.88/9.02 Simplification rules
% 23.88/9.02 ----------------------
% 23.88/9.02 #Subsume : 524
% 23.88/9.02 #Demod : 3515
% 23.88/9.02 #Tautology : 1543
% 23.88/9.02 #SimpNegUnit : 25
% 23.88/9.02 #BackRed : 94
% 23.88/9.02
% 23.88/9.02 #Partial instantiations: 0
% 23.88/9.02 #Strategies tried : 1
% 23.88/9.02
% 23.88/9.02 Timing (in seconds)
% 23.88/9.02 ----------------------
% 23.88/9.03 Preprocessing : 1.26
% 23.88/9.03 Parsing : 0.64
% 23.88/9.03 CNF conversion : 0.10
% 23.88/9.03 Main loop : 6.69
% 23.88/9.03 Inferencing : 1.68
% 23.88/9.03 Reduction : 2.60
% 23.88/9.03 Demodulation : 2.06
% 23.88/9.03 BG Simplification : 0.17
% 23.88/9.03 Subsumption : 1.83
% 23.88/9.03 Abstraction : 0.16
% 23.88/9.03 MUC search : 0.00
% 23.88/9.03 Cooper : 0.00
% 23.88/9.03 Total : 8.00
% 23.88/9.03 Index Insertion : 0.00
% 23.88/9.03 Index Deletion : 0.00
% 23.88/9.03 Index Matching : 0.00
% 23.88/9.03 BG Taut test : 0.00
%------------------------------------------------------------------------------