TSTP Solution File: GEO177+3 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO177+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : n014.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 10:38:27 EDT 2023
% Result : Theorem 5.48s 2.35s
% Output : CNFRefutation 5.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 27
% Syntax : Number of formulae : 50 ( 12 unt; 20 typ; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 42 ( 12 ~; 24 |; 1 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 16 >; 14 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 48 (; 48 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ unorthogonal_lines > parallel_lines > orthogonal_lines > incident_point_and_line > equal_points > equal_lines > distinct_points > distinct_lines > convergent_lines > apart_point_and_line > point > line > parallel_through_point > orthogonal_through_point > 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(equal_lines,type,
equal_lines: ( $i * $i ) > $o ).
tff(equal_points,type,
equal_points: ( $i * $i ) > $o ).
tff(incident_point_and_line,type,
incident_point_and_line: ( $i * $i ) > $o ).
tff(distinct_points,type,
distinct_points: ( $i * $i ) > $o ).
tff(intersection_point,type,
intersection_point: ( $i * $i ) > $i ).
tff(parallel_through_point,type,
parallel_through_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(orthogonal_through_point,type,
orthogonal_through_point: ( $i * $i ) > $i ).
tff(point,type,
point: $i > $o ).
tff(line,type,
line: $i > $o ).
tff(parallel_lines,type,
parallel_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(unorthogonal_lines,type,
unorthogonal_lines: ( $i * $i ) > $o ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(orthogonal_lines,type,
orthogonal_lines: ( $i * $i ) > $o ).
tff(f_441,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_points(U,V) )
=> ( ( apart_point_and_line(X,line_connecting(U,V))
| apart_point_and_line(Y,line_connecting(U,V)) )
=> ( apart_point_and_line(U,line_connecting(X,Y))
| apart_point_and_line(V,line_connecting(X,Y)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_126,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq2) ).
tff(f_73,axiom,
! [X,Y,Z] :
( distinct_lines(X,Y)
=> ( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart5) ).
tff(f_58,axiom,
! [X] : ~ distinct_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart2) ).
tff(f_160,axiom,
! [X,Y] :
( distinct_lines(X,Y)
=> convergent_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax',p1) ).
tff(f_188,axiom,
! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp1) ).
tff(f_191,axiom,
! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp2) ).
tff(c_98,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_1',line_connecting('#skF_3','#skF_4')) ),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_108,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_3','#skF_4')),
inference(splitLeft,[status(thm)],[c_98]) ).
tff(c_508,plain,
! [X_194,Z_195,Y_196] :
( apart_point_and_line(X_194,Z_195)
| distinct_lines(Y_196,Z_195)
| ~ apart_point_and_line(X_194,Y_196) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_518,plain,
! [Z_197] :
( apart_point_and_line('#skF_1',Z_197)
| distinct_lines(line_connecting('#skF_3','#skF_4'),Z_197) ),
inference(resolution,[status(thm)],[c_108,c_508]) ).
tff(c_10,plain,
! [Y_8,Z_9,X_7] :
( distinct_lines(Y_8,Z_9)
| distinct_lines(X_7,Z_9)
| ~ distinct_lines(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_1188,plain,
! [Z_234,Z_235] :
( distinct_lines(Z_234,Z_235)
| distinct_lines(line_connecting('#skF_3','#skF_4'),Z_235)
| apart_point_and_line('#skF_1',Z_234) ),
inference(resolution,[status(thm)],[c_518,c_10]) ).
tff(c_4,plain,
! [X_2] : ~ distinct_lines(X_2,X_2),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_1213,plain,
! [Z_236] :
( distinct_lines(Z_236,line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_1',Z_236) ),
inference(resolution,[status(thm)],[c_1188,c_4]) ).
tff(c_30,plain,
! [X_34,Y_35] :
( convergent_lines(X_34,Y_35)
| ~ distinct_lines(X_34,Y_35) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_1227,plain,
! [Z_237] :
( convergent_lines(Z_237,line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_1',Z_237) ),
inference(resolution,[status(thm)],[c_1213,c_30]) ).
tff(c_32,plain,
! [Y_37,X_36] : ~ convergent_lines(parallel_through_point(Y_37,X_36),Y_37),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_1248,plain,
! [X_238] : apart_point_and_line('#skF_1',parallel_through_point(line_connecting('#skF_3','#skF_4'),X_238)),
inference(resolution,[status(thm)],[c_1227,c_32]) ).
tff(c_34,plain,
! [X_38,Y_39] : ~ apart_point_and_line(X_38,parallel_through_point(Y_39,X_38)),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_1259,plain,
$false,
inference(resolution,[status(thm)],[c_1248,c_34]) ).
tff(c_1260,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_3','#skF_4')),
inference(splitRight,[status(thm)],[c_98]) ).
tff(c_1571,plain,
! [X_330,Z_331,Y_332] :
( apart_point_and_line(X_330,Z_331)
| distinct_lines(Y_332,Z_331)
| ~ apart_point_and_line(X_330,Y_332) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_1577,plain,
! [Z_331] :
( apart_point_and_line('#skF_2',Z_331)
| distinct_lines(line_connecting('#skF_3','#skF_4'),Z_331) ),
inference(resolution,[status(thm)],[c_1260,c_1571]) ).
tff(c_1682,plain,
! [Y_347,Z_348,X_349] :
( distinct_lines(Y_347,Z_348)
| distinct_lines(X_349,Z_348)
| ~ distinct_lines(X_349,Y_347) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_1836,plain,
! [Z_359,Z_360] :
( distinct_lines(Z_359,Z_360)
| distinct_lines(line_connecting('#skF_3','#skF_4'),Z_360)
| apart_point_and_line('#skF_2',Z_359) ),
inference(resolution,[status(thm)],[c_1577,c_1682]) ).
tff(c_1871,plain,
! [Z_362] :
( distinct_lines(Z_362,line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_2',Z_362) ),
inference(resolution,[status(thm)],[c_1836,c_4]) ).
tff(c_1885,plain,
! [Z_363] :
( convergent_lines(Z_363,line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_2',Z_363) ),
inference(resolution,[status(thm)],[c_1871,c_30]) ).
tff(c_1906,plain,
! [X_364] : apart_point_and_line('#skF_2',parallel_through_point(line_connecting('#skF_3','#skF_4'),X_364)),
inference(resolution,[status(thm)],[c_1885,c_32]) ).
tff(c_1917,plain,
$false,
inference(resolution,[status(thm)],[c_1906,c_34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO177+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % 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
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 4 00:25:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 5.48/2.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.48/2.36
% 5.48/2.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.88/2.39
% 5.88/2.39 Inference rules
% 5.88/2.39 ----------------------
% 5.88/2.39 #Ref : 0
% 5.88/2.39 #Sup : 300
% 5.88/2.39 #Fact : 52
% 5.88/2.39 #Define : 0
% 5.88/2.39 #Split : 1
% 5.88/2.39 #Chain : 0
% 5.88/2.39 #Close : 0
% 5.88/2.39
% 5.88/2.39 Ordering : KBO
% 5.88/2.39
% 5.88/2.39 Simplification rules
% 5.88/2.39 ----------------------
% 5.88/2.39 #Subsume : 52
% 5.88/2.39 #Demod : 92
% 5.88/2.39 #Tautology : 96
% 5.88/2.39 #SimpNegUnit : 0
% 5.88/2.39 #BackRed : 0
% 5.88/2.39
% 5.88/2.39 #Partial instantiations: 0
% 5.88/2.39 #Strategies tried : 1
% 5.88/2.39
% 5.88/2.39 Timing (in seconds)
% 5.88/2.40 ----------------------
% 5.88/2.40 Preprocessing : 0.57
% 5.88/2.40 Parsing : 0.32
% 5.88/2.40 CNF conversion : 0.04
% 5.88/2.40 Main loop : 0.70
% 5.88/2.40 Inferencing : 0.29
% 5.88/2.40 Reduction : 0.17
% 5.94/2.40 Demodulation : 0.11
% 5.94/2.40 BG Simplification : 0.04
% 5.94/2.40 Subsumption : 0.15
% 5.94/2.40 Abstraction : 0.02
% 5.94/2.40 MUC search : 0.00
% 5.94/2.40 Cooper : 0.00
% 5.94/2.40 Total : 1.32
% 5.94/2.40 Index Insertion : 0.00
% 5.94/2.40 Index Deletion : 0.00
% 5.94/2.40 Index Matching : 0.00
% 5.94/2.40 BG Taut test : 0.00
%------------------------------------------------------------------------------