TSTP Solution File: GEO620+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO620+1 : TPTP v8.1.2. Released v7.5.0.
% 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 : n005.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 10:39:21 EDT 2023
% Result : Theorem 16.38s 6.46s
% Output : CNFRefutation 16.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 43
% Syntax : Number of formulae : 86 ( 28 unt; 39 typ; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 50 ( 19 ~; 17 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 151 ( 31 >; 120 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-8 aty)
% Number of functors : 28 ( 28 usr; 8 con; 0-7 aty)
% Number of variables : 45 (; 45 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ eqratio > eqangle > simtri > contri > perp > para > cyclic > cong > circle > midp > coll > #nlpp > #skF_25 > #skF_10 > #skF_14 > #skF_13 > #skF_12 > #skF_5 > #skF_26 > #skF_15 > #skF_2 > #skF_19 > #skF_16 > #skF_8 > #skF_11 > #skF_21 > #skF_4 > #skF_22 > #skF_17 > #skF_28 > #skF_9 > #skF_24 > #skF_27 > #skF_23 > #skF_3 > #skF_20 > #skF_7 > #skF_6 > #skF_1 > #skF_18
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_25',type,
'#skF_25': $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i * $i ) > $i ).
tff(circle,type,
circle: ( $i * $i * $i * $i ) > $o ).
tff(cong,type,
cong: ( $i * $i * $i * $i ) > $o ).
tff(perp,type,
perp: ( $i * $i * $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': $i ).
tff(cyclic,type,
cyclic: ( $i * $i * $i * $i ) > $o ).
tff(eqratio,type,
eqratio: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(coll,type,
coll: ( $i * $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': $i ).
tff(midp,type,
midp: ( $i * $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': $i ).
tff(contri,type,
contri: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(simtri,type,
simtri: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff('#skF_23',type,
'#skF_23': $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(para,type,
para: ( $i * $i * $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i * $i * $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i ) > $i ).
tff(eqangle,type,
eqangle: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i * $i * $i ) > $i ).
tff(f_676,negated_conjecture,
~ ! [A,B,C,O,I,E,J,L] :
( ( eqangle(O,A,A,B,O,A,A,C)
& eqangle(O,B,B,C,O,B,B,A)
& eqangle(O,C,C,A,O,C,C,B)
& perp(I,C,A,O)
& coll(I,A,O)
& perp(A,O,A,E)
& perp(J,C,A,E)
& coll(J,A,E)
& perp(L,C,B,O)
& coll(L,B,O) )
=> coll(I,L,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110982) ).
tff(f_55,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
tff(f_65,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
tff(f_59,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
tff(c_228,plain,
~ coll('#skF_25','#skF_28','#skF_27'),
inference(cnfTransformation,[status(thm)],[f_676]) ).
tff(c_240,plain,
coll('#skF_25','#skF_21','#skF_24'),
inference(cnfTransformation,[status(thm)],[f_676]) ).
tff(c_249,plain,
! [A_523,C_524,B_525] :
( coll(A_523,C_524,B_525)
| ~ coll(A_523,B_525,C_524) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_258,plain,
coll('#skF_25','#skF_24','#skF_21'),
inference(resolution,[status(thm)],[c_240,c_249]) ).
tff(c_677,plain,
! [C_604,D_605,A_606,B_607] :
( coll(C_604,D_605,A_606)
| ~ coll(A_606,B_607,D_605)
| ~ coll(A_606,B_607,C_604) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_1049,plain,
! [C_628] :
( coll(C_628,'#skF_21','#skF_25')
| ~ coll('#skF_25','#skF_24',C_628) ),
inference(resolution,[status(thm)],[c_258,c_677]) ).
tff(c_1056,plain,
coll('#skF_21','#skF_21','#skF_25'),
inference(resolution,[status(thm)],[c_258,c_1049]) ).
tff(c_234,plain,
coll('#skF_27','#skF_21','#skF_26'),
inference(cnfTransformation,[status(thm)],[f_676]) ).
tff(c_257,plain,
coll('#skF_27','#skF_26','#skF_21'),
inference(resolution,[status(thm)],[c_234,c_249]) ).
tff(c_1234,plain,
! [C_633] :
( coll(C_633,'#skF_21','#skF_27')
| ~ coll('#skF_27','#skF_26',C_633) ),
inference(resolution,[status(thm)],[c_257,c_677]) ).
tff(c_1241,plain,
coll('#skF_21','#skF_21','#skF_27'),
inference(resolution,[status(thm)],[c_257,c_1234]) ).
tff(c_6,plain,
! [C_9,D_10,A_7,B_8] :
( coll(C_9,D_10,A_7)
| ~ coll(A_7,B_8,D_10)
| ~ coll(A_7,B_8,C_9) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_2277,plain,
! [C_711] :
( coll(C_711,'#skF_27','#skF_21')
| ~ coll('#skF_21','#skF_21',C_711) ),
inference(resolution,[status(thm)],[c_1241,c_6]) ).
tff(c_2291,plain,
coll('#skF_25','#skF_27','#skF_21'),
inference(resolution,[status(thm)],[c_1056,c_2277]) ).
tff(c_2,plain,
! [A_1,C_3,B_2] :
( coll(A_1,C_3,B_2)
| ~ coll(A_1,B_2,C_3) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_2300,plain,
coll('#skF_25','#skF_21','#skF_27'),
inference(resolution,[status(thm)],[c_2291,c_2]) ).
tff(c_731,plain,
! [C_604] :
( coll(C_604,'#skF_24','#skF_25')
| ~ coll('#skF_25','#skF_21',C_604) ),
inference(resolution,[status(thm)],[c_240,c_677]) ).
tff(c_2346,plain,
coll('#skF_27','#skF_24','#skF_25'),
inference(resolution,[status(thm)],[c_2300,c_731]) ).
tff(c_4,plain,
! [B_5,A_4,C_6] :
( coll(B_5,A_4,C_6)
| ~ coll(A_4,B_5,C_6) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_2411,plain,
coll('#skF_24','#skF_27','#skF_25'),
inference(resolution,[status(thm)],[c_2346,c_4]) ).
tff(c_2479,plain,
coll('#skF_24','#skF_25','#skF_27'),
inference(resolution,[status(thm)],[c_2411,c_2]) ).
tff(c_802,plain,
! [C_610] :
( coll(C_610,'#skF_24','#skF_25')
| ~ coll('#skF_25','#skF_21',C_610) ),
inference(resolution,[status(thm)],[c_240,c_677]) ).
tff(c_805,plain,
coll('#skF_24','#skF_24','#skF_25'),
inference(resolution,[status(thm)],[c_240,c_802]) ).
tff(c_854,plain,
coll('#skF_24','#skF_25','#skF_24'),
inference(resolution,[status(thm)],[c_805,c_2]) ).
tff(c_3979,plain,
! [C_801] :
( coll(C_801,'#skF_24','#skF_24')
| ~ coll('#skF_24','#skF_25',C_801) ),
inference(resolution,[status(thm)],[c_854,c_6]) ).
tff(c_3999,plain,
coll('#skF_27','#skF_24','#skF_24'),
inference(resolution,[status(thm)],[c_2479,c_3979]) ).
tff(c_4063,plain,
coll('#skF_24','#skF_27','#skF_24'),
inference(resolution,[status(thm)],[c_3999,c_4]) ).
tff(c_4075,plain,
coll('#skF_24','#skF_24','#skF_27'),
inference(resolution,[status(thm)],[c_4063,c_2]) ).
tff(c_230,plain,
coll('#skF_28','#skF_22','#skF_24'),
inference(cnfTransformation,[status(thm)],[f_676]) ).
tff(c_732,plain,
! [C_608] :
( coll(C_608,'#skF_24','#skF_28')
| ~ coll('#skF_28','#skF_22',C_608) ),
inference(resolution,[status(thm)],[c_230,c_677]) ).
tff(c_735,plain,
coll('#skF_24','#skF_24','#skF_28'),
inference(resolution,[status(thm)],[c_230,c_732]) ).
tff(c_742,plain,
! [C_9] :
( coll(C_9,'#skF_28','#skF_24')
| ~ coll('#skF_24','#skF_24',C_9) ),
inference(resolution,[status(thm)],[c_735,c_6]) ).
tff(c_4114,plain,
coll('#skF_27','#skF_28','#skF_24'),
inference(resolution,[status(thm)],[c_4075,c_742]) ).
tff(c_4138,plain,
coll('#skF_28','#skF_27','#skF_24'),
inference(resolution,[status(thm)],[c_4114,c_4]) ).
tff(c_4219,plain,
coll('#skF_28','#skF_24','#skF_27'),
inference(resolution,[status(thm)],[c_4138,c_2]) ).
tff(c_1396,plain,
! [C_644] :
( coll(C_644,'#skF_25','#skF_24')
| ~ coll('#skF_24','#skF_24',C_644) ),
inference(resolution,[status(thm)],[c_805,c_6]) ).
tff(c_1409,plain,
coll('#skF_28','#skF_25','#skF_24'),
inference(resolution,[status(thm)],[c_735,c_1396]) ).
tff(c_1419,plain,
coll('#skF_28','#skF_24','#skF_25'),
inference(resolution,[status(thm)],[c_1409,c_2]) ).
tff(c_10785,plain,
! [C_1130] :
( coll(C_1130,'#skF_25','#skF_28')
| ~ coll('#skF_28','#skF_24',C_1130) ),
inference(resolution,[status(thm)],[c_1419,c_6]) ).
tff(c_10807,plain,
coll('#skF_27','#skF_25','#skF_28'),
inference(resolution,[status(thm)],[c_4219,c_10785]) ).
tff(c_10963,plain,
coll('#skF_25','#skF_27','#skF_28'),
inference(resolution,[status(thm)],[c_10807,c_4]) ).
tff(c_11068,plain,
coll('#skF_25','#skF_28','#skF_27'),
inference(resolution,[status(thm)],[c_10963,c_2]) ).
tff(c_11075,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_228,c_11068]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO620+1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 4 00:11:42 EDT 2023
% 0.14/0.35 % CPUTime :
% 16.38/6.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.46/6.46
% 16.46/6.46 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.46/6.49
% 16.46/6.49 Inference rules
% 16.46/6.49 ----------------------
% 16.46/6.49 #Ref : 0
% 16.46/6.49 #Sup : 2987
% 16.46/6.49 #Fact : 0
% 16.46/6.49 #Define : 0
% 16.46/6.49 #Split : 18
% 16.46/6.49 #Chain : 0
% 16.46/6.49 #Close : 0
% 16.46/6.49
% 16.46/6.49 Ordering : KBO
% 16.46/6.49
% 16.46/6.49 Simplification rules
% 16.46/6.49 ----------------------
% 16.46/6.49 #Subsume : 49
% 16.46/6.49 #Demod : 1108
% 16.46/6.49 #Tautology : 1111
% 16.46/6.49 #SimpNegUnit : 5
% 16.46/6.49 #BackRed : 0
% 16.46/6.49
% 16.46/6.49 #Partial instantiations: 0
% 16.46/6.49 #Strategies tried : 1
% 16.46/6.49
% 16.46/6.49 Timing (in seconds)
% 16.46/6.49 ----------------------
% 16.46/6.50 Preprocessing : 0.81
% 16.46/6.50 Parsing : 0.41
% 16.46/6.50 CNF conversion : 0.09
% 16.46/6.50 Main loop : 4.59
% 16.46/6.50 Inferencing : 1.31
% 16.46/6.50 Reduction : 1.92
% 16.46/6.50 Demodulation : 1.51
% 16.46/6.50 BG Simplification : 0.09
% 16.46/6.50 Subsumption : 1.06
% 16.46/6.50 Abstraction : 0.06
% 16.46/6.50 MUC search : 0.00
% 16.46/6.50 Cooper : 0.00
% 16.46/6.50 Total : 5.45
% 16.46/6.50 Index Insertion : 0.00
% 16.46/6.50 Index Deletion : 0.00
% 16.46/6.50 Index Matching : 0.00
% 16.46/6.50 BG Taut test : 0.00
%------------------------------------------------------------------------------