TSTP Solution File: GEO579+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO579+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/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 10:39:18 EDT 2023
% Result : Theorem 13.29s 4.56s
% Output : CNFRefutation 13.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 42
% Syntax : Number of formulae : 83 ( 26 unt; 38 typ; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 49 ( 19 ~; 17 |; 9 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 27 ( 27 usr; 7 con; 0-7 aty)
% Number of variables : 44 (; 44 !; 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_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_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_674,negated_conjecture,
~ ! [A,B,C,I,Y,L,X] :
( ( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& perp(Y,I,A,C)
& coll(Y,A,C)
& perp(L,I,B,C)
& coll(L,B,C)
& perp(X,B,A,I)
& coll(X,A,I) )
=> coll(X,Y,L) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416041) ).
tff(f_55,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
tff(f_59,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
tff(c_228,plain,
~ coll('#skF_27','#skF_25','#skF_26'),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_238,plain,
coll('#skF_25','#skF_21','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_247,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_256,plain,
coll('#skF_25','#skF_23','#skF_21'),
inference(resolution,[status(thm)],[c_238,c_247]) ).
tff(c_618,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_893,plain,
! [C_624] :
( coll(C_624,'#skF_21','#skF_25')
| ~ coll('#skF_25','#skF_23',C_624) ),
inference(resolution,[status(thm)],[c_256,c_618]) ).
tff(c_900,plain,
coll('#skF_21','#skF_21','#skF_25'),
inference(resolution,[status(thm)],[c_256,c_893]) ).
tff(c_230,plain,
coll('#skF_27','#skF_21','#skF_24'),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_255,plain,
coll('#skF_27','#skF_24','#skF_21'),
inference(resolution,[status(thm)],[c_230,c_247]) ).
tff(c_1152,plain,
! [C_633] :
( coll(C_633,'#skF_21','#skF_27')
| ~ coll('#skF_27','#skF_24',C_633) ),
inference(resolution,[status(thm)],[c_255,c_618]) ).
tff(c_1159,plain,
coll('#skF_21','#skF_21','#skF_27'),
inference(resolution,[status(thm)],[c_255,c_1152]) ).
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_2190,plain,
! [C_705] :
( coll(C_705,'#skF_27','#skF_21')
| ~ coll('#skF_21','#skF_21',C_705) ),
inference(resolution,[status(thm)],[c_1159,c_6]) ).
tff(c_2204,plain,
coll('#skF_25','#skF_27','#skF_21'),
inference(resolution,[status(thm)],[c_900,c_2190]) ).
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_2213,plain,
coll('#skF_25','#skF_21','#skF_27'),
inference(resolution,[status(thm)],[c_2204,c_2]) ).
tff(c_672,plain,
! [C_604] :
( coll(C_604,'#skF_23','#skF_25')
| ~ coll('#skF_25','#skF_21',C_604) ),
inference(resolution,[status(thm)],[c_238,c_618]) ).
tff(c_2232,plain,
coll('#skF_27','#skF_23','#skF_25'),
inference(resolution,[status(thm)],[c_2213,c_672]) ).
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_2267,plain,
coll('#skF_23','#skF_27','#skF_25'),
inference(resolution,[status(thm)],[c_2232,c_4]) ).
tff(c_2311,plain,
coll('#skF_23','#skF_25','#skF_27'),
inference(resolution,[status(thm)],[c_2267,c_2]) ).
tff(c_744,plain,
! [C_615] :
( coll(C_615,'#skF_23','#skF_25')
| ~ coll('#skF_25','#skF_21',C_615) ),
inference(resolution,[status(thm)],[c_238,c_618]) ).
tff(c_747,plain,
coll('#skF_23','#skF_23','#skF_25'),
inference(resolution,[status(thm)],[c_238,c_744]) ).
tff(c_757,plain,
coll('#skF_23','#skF_25','#skF_23'),
inference(resolution,[status(thm)],[c_747,c_2]) ).
tff(c_3551,plain,
! [C_789] :
( coll(C_789,'#skF_23','#skF_23')
| ~ coll('#skF_23','#skF_25',C_789) ),
inference(resolution,[status(thm)],[c_757,c_6]) ).
tff(c_3567,plain,
coll('#skF_27','#skF_23','#skF_23'),
inference(resolution,[status(thm)],[c_2311,c_3551]) ).
tff(c_3585,plain,
coll('#skF_23','#skF_27','#skF_23'),
inference(resolution,[status(thm)],[c_3567,c_4]) ).
tff(c_3634,plain,
coll('#skF_23','#skF_23','#skF_27'),
inference(resolution,[status(thm)],[c_3585,c_2]) ).
tff(c_234,plain,
coll('#skF_26','#skF_22','#skF_23'),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_673,plain,
! [C_608] :
( coll(C_608,'#skF_23','#skF_26')
| ~ coll('#skF_26','#skF_22',C_608) ),
inference(resolution,[status(thm)],[c_234,c_618]) ).
tff(c_676,plain,
coll('#skF_23','#skF_23','#skF_26'),
inference(resolution,[status(thm)],[c_234,c_673]) ).
tff(c_683,plain,
! [C_9] :
( coll(C_9,'#skF_26','#skF_23')
| ~ coll('#skF_23','#skF_23',C_9) ),
inference(resolution,[status(thm)],[c_676,c_6]) ).
tff(c_3652,plain,
coll('#skF_27','#skF_26','#skF_23'),
inference(resolution,[status(thm)],[c_3634,c_683]) ).
tff(c_3696,plain,
coll('#skF_26','#skF_27','#skF_23'),
inference(resolution,[status(thm)],[c_3652,c_4]) ).
tff(c_3737,plain,
coll('#skF_26','#skF_23','#skF_27'),
inference(resolution,[status(thm)],[c_3696,c_2]) ).
tff(c_1240,plain,
! [C_638] :
( coll(C_638,'#skF_25','#skF_23')
| ~ coll('#skF_23','#skF_23',C_638) ),
inference(resolution,[status(thm)],[c_747,c_6]) ).
tff(c_1253,plain,
coll('#skF_26','#skF_25','#skF_23'),
inference(resolution,[status(thm)],[c_676,c_1240]) ).
tff(c_1281,plain,
coll('#skF_26','#skF_23','#skF_25'),
inference(resolution,[status(thm)],[c_1253,c_2]) ).
tff(c_7391,plain,
! [C_993] :
( coll(C_993,'#skF_25','#skF_26')
| ~ coll('#skF_26','#skF_23',C_993) ),
inference(resolution,[status(thm)],[c_1281,c_6]) ).
tff(c_7395,plain,
coll('#skF_27','#skF_25','#skF_26'),
inference(resolution,[status(thm)],[c_3737,c_7391]) ).
tff(c_7413,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_228,c_7395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO579+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.15 % 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
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri Aug 4 00:33:21 EDT 2023
% 0.15/0.37 % CPUTime :
% 13.29/4.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.29/4.57
% 13.29/4.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.46/4.60
% 13.46/4.60 Inference rules
% 13.46/4.60 ----------------------
% 13.46/4.60 #Ref : 0
% 13.46/4.60 #Sup : 1980
% 13.46/4.60 #Fact : 0
% 13.46/4.60 #Define : 0
% 13.46/4.60 #Split : 11
% 13.46/4.60 #Chain : 0
% 13.46/4.60 #Close : 0
% 13.46/4.60
% 13.46/4.60 Ordering : KBO
% 13.46/4.60
% 13.46/4.60 Simplification rules
% 13.46/4.60 ----------------------
% 13.46/4.60 #Subsume : 49
% 13.46/4.60 #Demod : 746
% 13.46/4.60 #Tautology : 755
% 13.46/4.60 #SimpNegUnit : 1
% 13.46/4.60 #BackRed : 0
% 13.46/4.60
% 13.46/4.60 #Partial instantiations: 0
% 13.46/4.60 #Strategies tried : 1
% 13.46/4.60
% 13.46/4.60 Timing (in seconds)
% 13.46/4.60 ----------------------
% 13.46/4.61 Preprocessing : 0.73
% 13.46/4.61 Parsing : 0.42
% 13.46/4.61 CNF conversion : 0.07
% 13.46/4.61 Main loop : 2.78
% 13.46/4.61 Inferencing : 0.93
% 13.46/4.61 Reduction : 1.02
% 13.46/4.61 Demodulation : 0.78
% 13.46/4.61 BG Simplification : 0.06
% 13.46/4.61 Subsumption : 0.63
% 13.46/4.61 Abstraction : 0.04
% 13.46/4.61 MUC search : 0.00
% 13.46/4.61 Cooper : 0.00
% 13.46/4.61 Total : 3.57
% 13.46/4.61 Index Insertion : 0.00
% 13.46/4.61 Index Deletion : 0.00
% 13.46/4.61 Index Matching : 0.00
% 13.46/4.61 BG Taut test : 0.00
%------------------------------------------------------------------------------