TSTP Solution File: GEO187+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO187+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/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 : n019.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 7.54s 2.81s
% Output : CNFRefutation 7.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 28
% Syntax : Number of formulae : 55 ( 14 unt; 20 typ; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 50 ( 17 ~; 24 |; 4 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 54 (; 54 !; 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_421,axiom,
! [X,Y] :
( incident_point_and_line(X,Y)
<=> ~ apart_point_and_line(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a4) ).
tff(f_441,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_points(U,V)
& incident_point_and_line(X,line_connecting(U,V))
& incident_point_and_line(Y,line_connecting(U,V)) )
=> ( incident_point_and_line(U,line_connecting(X,Y))
& incident_point_and_line(V,line_connecting(X,Y)) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO006+0.ax',apart5) ).
tff(f_58,axiom,
! [X] : ~ distinct_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart2) ).
tff(f_160,axiom,
! [X,Y] :
( distinct_lines(X,Y)
=> convergent_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax',p1) ).
tff(f_188,axiom,
! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO006+2.ax',cp2) ).
tff(c_3065,plain,
! [X_359,Y_360] :
( incident_point_and_line(X_359,Y_360)
| apart_point_and_line(X_359,Y_360) ),
inference(cnfTransformation,[status(thm)],[f_421]) ).
tff(c_111,plain,
! [X_93,Y_94] :
( incident_point_and_line(X_93,Y_94)
| apart_point_and_line(X_93,Y_94) ),
inference(cnfTransformation,[status(thm)],[f_421]) ).
tff(c_94,plain,
( ~ incident_point_and_line('#skF_4',line_connecting('#skF_1','#skF_2'))
| ~ incident_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')) ),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_108,plain,
~ incident_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_94]) ).
tff(c_115,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_111,c_108]) ).
tff(c_301,plain,
! [X_146,Z_147,Y_148] :
( apart_point_and_line(X_146,Z_147)
| distinct_lines(Y_148,Z_147)
| ~ apart_point_and_line(X_146,Y_148) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_310,plain,
! [Z_147] :
( apart_point_and_line('#skF_3',Z_147)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_147) ),
inference(resolution,[status(thm)],[c_115,c_301]) ).
tff(c_421,plain,
! [Y_157,Z_158,X_159] :
( distinct_lines(Y_157,Z_158)
| distinct_lines(X_159,Z_158)
| ~ distinct_lines(X_159,Y_157) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_2982,plain,
! [Z_344,Z_345] :
( distinct_lines(Z_344,Z_345)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_345)
| apart_point_and_line('#skF_3',Z_344) ),
inference(resolution,[status(thm)],[c_310,c_421]) ).
tff(c_4,plain,
! [X_2] : ~ distinct_lines(X_2,X_2),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_3007,plain,
! [Z_346] :
( distinct_lines(Z_346,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_3',Z_346) ),
inference(resolution,[status(thm)],[c_2982,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_3021,plain,
! [Z_347] :
( convergent_lines(Z_347,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_3',Z_347) ),
inference(resolution,[status(thm)],[c_3007,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_3042,plain,
! [X_348] : apart_point_and_line('#skF_3',parallel_through_point(line_connecting('#skF_1','#skF_2'),X_348)),
inference(resolution,[status(thm)],[c_3021,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_3053,plain,
$false,
inference(resolution,[status(thm)],[c_3042,c_34]) ).
tff(c_3054,plain,
~ incident_point_and_line('#skF_4',line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_3069,plain,
apart_point_and_line('#skF_4',line_connecting('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_3065,c_3054]) ).
tff(c_3499,plain,
! [X_460,Z_461,Y_462] :
( apart_point_and_line(X_460,Z_461)
| distinct_lines(Y_462,Z_461)
| ~ apart_point_and_line(X_460,Y_462) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_3509,plain,
! [Z_463] :
( apart_point_and_line('#skF_4',Z_463)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_463) ),
inference(resolution,[status(thm)],[c_3069,c_3499]) ).
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_5970,plain,
! [Z_629,Z_630] :
( distinct_lines(Z_629,Z_630)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_630)
| apart_point_and_line('#skF_4',Z_629) ),
inference(resolution,[status(thm)],[c_3509,c_10]) ).
tff(c_5995,plain,
! [Z_631] :
( distinct_lines(Z_631,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_4',Z_631) ),
inference(resolution,[status(thm)],[c_5970,c_4]) ).
tff(c_6009,plain,
! [Z_632] :
( convergent_lines(Z_632,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_4',Z_632) ),
inference(resolution,[status(thm)],[c_5995,c_30]) ).
tff(c_6030,plain,
! [X_633] : apart_point_and_line('#skF_4',parallel_through_point(line_connecting('#skF_1','#skF_2'),X_633)),
inference(resolution,[status(thm)],[c_6009,c_32]) ).
tff(c_6041,plain,
$false,
inference(resolution,[status(thm)],[c_6030,c_34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO187+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : n019.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 00:31:46 EDT 2023
% 0.15/0.37 % CPUTime :
% 7.54/2.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.54/2.82
% 7.54/2.82 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.54/2.85
% 7.54/2.85 Inference rules
% 7.54/2.85 ----------------------
% 7.54/2.85 #Ref : 0
% 7.54/2.85 #Sup : 826
% 7.54/2.85 #Fact : 286
% 7.54/2.85 #Define : 0
% 7.54/2.85 #Split : 1
% 7.54/2.85 #Chain : 0
% 7.54/2.85 #Close : 0
% 7.54/2.85
% 7.54/2.85 Ordering : KBO
% 7.54/2.85
% 7.54/2.85 Simplification rules
% 7.54/2.85 ----------------------
% 7.54/2.85 #Subsume : 238
% 7.54/2.85 #Demod : 288
% 7.54/2.85 #Tautology : 300
% 7.54/2.85 #SimpNegUnit : 72
% 7.54/2.85 #BackRed : 0
% 7.54/2.85
% 7.54/2.85 #Partial instantiations: 0
% 7.54/2.85 #Strategies tried : 1
% 7.54/2.85
% 7.54/2.85 Timing (in seconds)
% 7.54/2.85 ----------------------
% 7.54/2.85 Preprocessing : 0.56
% 7.54/2.85 Parsing : 0.31
% 7.54/2.85 CNF conversion : 0.04
% 7.54/2.85 Main loop : 1.20
% 7.54/2.85 Inferencing : 0.49
% 7.54/2.85 Reduction : 0.31
% 7.54/2.85 Demodulation : 0.18
% 7.54/2.85 BG Simplification : 0.04
% 7.54/2.85 Subsumption : 0.26
% 7.54/2.85 Abstraction : 0.03
% 7.54/2.85 MUC search : 0.00
% 7.54/2.85 Cooper : 0.00
% 7.54/2.85 Total : 1.81
% 7.54/2.85 Index Insertion : 0.00
% 7.54/2.85 Index Deletion : 0.00
% 7.54/2.85 Index Matching : 0.00
% 7.54/2.85 BG Taut test : 0.00
%------------------------------------------------------------------------------