TSTP Solution File: GEO186+2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO186+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : n017.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 10:38:31 EDT 2023
% Result : Theorem 7.07s 2.69s
% Output : CNFRefutation 7.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 42 ( 15 unt; 10 typ; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 70 ( 27 ~; 33 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 6 >; 6 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 46 (; 46 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > line_connecting > intersection_point > #nlpp > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(line_connecting,type,
line_connecting: ( $i * $i ) > $i ).
tff(distinct_points,type,
distinct_points: ( $i * $i ) > $o ).
tff(intersection_point,type,
intersection_point: ( $i * $i ) > $i ).
tff(apart_point_and_line,type,
apart_point_and_line: ( $i * $i ) > $o ).
tff(convergent_lines,type,
convergent_lines: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(f_145,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& ~ apart_point_and_line(X,U)
& ~ apart_point_and_line(X,V) )
=> ~ distinct_points(X,intersection_point(U,V)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_82,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart6) ).
tff(f_64,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart3) ).
tff(f_129,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq3) ).
tff(f_112,axiom,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_lines(U,V) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',cu1) ).
tff(f_99,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( ( apart_point_and_line(Z,X)
| apart_point_and_line(Z,Y) )
=> distinct_points(Z,intersection_point(X,Y)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con2) ).
tff(f_58,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(c_36,plain,
convergent_lines('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_32,plain,
~ apart_point_and_line('#skF_1','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_34,plain,
~ apart_point_and_line('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_80,plain,
! [Y_47,Z_48,X_49] :
( convergent_lines(Y_47,Z_48)
| convergent_lines(X_49,Z_48)
| ~ convergent_lines(X_49,Y_47) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_85,plain,
! [Z_53] :
( convergent_lines('#skF_4',Z_53)
| convergent_lines('#skF_3',Z_53) ),
inference(resolution,[status(thm)],[c_36,c_80]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_93,plain,
convergent_lines('#skF_4','#skF_3'),
inference(resolution,[status(thm)],[c_85,c_6]) ).
tff(c_30,plain,
distinct_points('#skF_1',intersection_point('#skF_3','#skF_4')),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_28,plain,
! [X_29,Y_30] :
( distinct_lines(X_29,Y_30)
| ~ convergent_lines(X_29,Y_30) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_1369,plain,
! [Y_130,V_131,U_132,X_133] :
( apart_point_and_line(Y_130,V_131)
| apart_point_and_line(Y_130,U_132)
| apart_point_and_line(X_133,V_131)
| apart_point_and_line(X_133,U_132)
| ~ distinct_lines(U_132,V_131)
| ~ distinct_points(X_133,Y_130) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_2345,plain,
! [Y_181,Y_182,X_183,X_184] :
( apart_point_and_line(Y_181,Y_182)
| apart_point_and_line(Y_181,X_183)
| apart_point_and_line(X_184,Y_182)
| apart_point_and_line(X_184,X_183)
| ~ distinct_points(X_184,Y_181)
| ~ convergent_lines(X_183,Y_182) ),
inference(resolution,[status(thm)],[c_28,c_1369]) ).
tff(c_3715,plain,
! [Y_223,X_224] :
( apart_point_and_line(intersection_point('#skF_3','#skF_4'),Y_223)
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),X_224)
| apart_point_and_line('#skF_1',Y_223)
| apart_point_and_line('#skF_1',X_224)
| ~ convergent_lines(X_224,Y_223) ),
inference(resolution,[status(thm)],[c_30,c_2345]) ).
tff(c_3805,plain,
( apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_3')
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4')
| apart_point_and_line('#skF_1','#skF_3')
| apart_point_and_line('#skF_1','#skF_4') ),
inference(resolution,[status(thm)],[c_93,c_3715]) ).
tff(c_3910,plain,
( apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_3')
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_32,c_34,c_3805]) ).
tff(c_4019,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4'),
inference(splitLeft,[status(thm)],[c_3910]) ).
tff(c_444,plain,
! [Z_80,Y_81,X_82] :
( ~ apart_point_and_line(Z_80,Y_81)
| distinct_points(Z_80,intersection_point(X_82,Y_81))
| ~ convergent_lines(X_82,Y_81) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_452,plain,
! [X_82,Y_81] :
( ~ apart_point_and_line(intersection_point(X_82,Y_81),Y_81)
| ~ convergent_lines(X_82,Y_81) ),
inference(resolution,[status(thm)],[c_444,c_2]) ).
tff(c_4026,plain,
~ convergent_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_4019,c_452]) ).
tff(c_4036,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_4026]) ).
tff(c_4037,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_3'),
inference(splitRight,[status(thm)],[c_3910]) ).
tff(c_222,plain,
! [Z_63,X_64,Y_65] :
( ~ apart_point_and_line(Z_63,X_64)
| distinct_points(Z_63,intersection_point(X_64,Y_65))
| ~ convergent_lines(X_64,Y_65) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_230,plain,
! [X_64,Y_65] :
( ~ apart_point_and_line(intersection_point(X_64,Y_65),X_64)
| ~ convergent_lines(X_64,Y_65) ),
inference(resolution,[status(thm)],[c_222,c_2]) ).
tff(c_4045,plain,
~ convergent_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_4037,c_230]) ).
tff(c_4055,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_4045]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO186+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % 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
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 4 00:09:21 EDT 2023
% 0.12/0.35 % CPUTime :
% 7.07/2.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.07/2.70
% 7.07/2.70 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.07/2.73
% 7.07/2.73 Inference rules
% 7.07/2.73 ----------------------
% 7.07/2.73 #Ref : 0
% 7.07/2.73 #Sup : 690
% 7.07/2.73 #Fact : 152
% 7.07/2.73 #Define : 0
% 7.07/2.73 #Split : 3
% 7.07/2.73 #Chain : 0
% 7.07/2.73 #Close : 0
% 7.07/2.73
% 7.07/2.73 Ordering : KBO
% 7.07/2.73
% 7.07/2.73 Simplification rules
% 7.07/2.73 ----------------------
% 7.07/2.73 #Subsume : 157
% 7.07/2.73 #Demod : 187
% 7.07/2.73 #Tautology : 182
% 7.07/2.73 #SimpNegUnit : 106
% 7.07/2.73 #BackRed : 0
% 7.07/2.73
% 7.07/2.73 #Partial instantiations: 0
% 7.07/2.73 #Strategies tried : 1
% 7.07/2.73
% 7.07/2.73 Timing (in seconds)
% 7.07/2.73 ----------------------
% 7.07/2.73 Preprocessing : 0.49
% 7.07/2.73 Parsing : 0.27
% 7.07/2.73 CNF conversion : 0.03
% 7.07/2.73 Main loop : 1.18
% 7.07/2.73 Inferencing : 0.45
% 7.07/2.73 Reduction : 0.27
% 7.07/2.73 Demodulation : 0.16
% 7.07/2.73 BG Simplification : 0.04
% 7.07/2.73 Subsumption : 0.34
% 7.07/2.73 Abstraction : 0.04
% 7.07/2.73 MUC search : 0.00
% 7.07/2.73 Cooper : 0.00
% 7.07/2.73 Total : 1.72
% 7.07/2.73 Index Insertion : 0.00
% 7.07/2.73 Index Deletion : 0.00
% 7.07/2.73 Index Matching : 0.00
% 7.07/2.74 BG Taut test : 0.00
%------------------------------------------------------------------------------