TSTP Solution File: GEO189+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO189+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 : n020.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 10:38:32 EDT 2023
% Result : Theorem 4.42s 2.18s
% Output : CNFRefutation 4.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 27
% Syntax : Number of formulae : 42 ( 10 unt; 19 typ; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 33 ( 12 ~; 13 |; 3 &)
% ( 1 <=>; 4 =>; 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 39 (; 39 !; 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
%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(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_439,negated_conjecture,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& distinct_points(X,Z)
& distinct_points(Y,Z)
& incident_point_and_line(Z,line_connecting(X,Y)) )
=> incident_point_and_line(Y,line_connecting(X,Z)) ),
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_110,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_2',line_connecting('#skF_1','#skF_3')),
inference(cnfTransformation,[status(thm)],[f_439]) ).
tff(c_114,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_3')),
inference(resolution,[status(thm)],[c_110,c_94]) ).
tff(c_381,plain,
! [X_172,Z_173,Y_174] :
( apart_point_and_line(X_172,Z_173)
| distinct_lines(Y_174,Z_173)
| ~ apart_point_and_line(X_172,Y_174) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_390,plain,
! [Z_173] :
( apart_point_and_line('#skF_2',Z_173)
| distinct_lines(line_connecting('#skF_1','#skF_3'),Z_173) ),
inference(resolution,[status(thm)],[c_114,c_381]) ).
tff(c_522,plain,
! [Y_194,Z_195,X_196] :
( distinct_lines(Y_194,Z_195)
| distinct_lines(X_196,Z_195)
| ~ distinct_lines(X_196,Y_194) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_930,plain,
! [Z_221,Z_222] :
( distinct_lines(Z_221,Z_222)
| distinct_lines(line_connecting('#skF_1','#skF_3'),Z_222)
| apart_point_and_line('#skF_2',Z_221) ),
inference(resolution,[status(thm)],[c_390,c_522]) ).
tff(c_4,plain,
! [X_2] : ~ distinct_lines(X_2,X_2),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_955,plain,
! [Z_223] :
( distinct_lines(Z_223,line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_2',Z_223) ),
inference(resolution,[status(thm)],[c_930,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_969,plain,
! [Z_224] :
( convergent_lines(Z_224,line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_2',Z_224) ),
inference(resolution,[status(thm)],[c_955,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_990,plain,
! [X_225] : apart_point_and_line('#skF_2',parallel_through_point(line_connecting('#skF_1','#skF_3'),X_225)),
inference(resolution,[status(thm)],[c_969,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_1001,plain,
$false,
inference(resolution,[status(thm)],[c_990,c_34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO189+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
% 0.16/0.37 % Computer : n020.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri Aug 4 00:27:37 EDT 2023
% 0.16/0.37 % CPUTime :
% 4.42/2.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.42/2.18
% 4.42/2.18 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.42/2.21
% 4.42/2.21 Inference rules
% 4.42/2.21 ----------------------
% 4.42/2.21 #Ref : 0
% 4.42/2.21 #Sup : 149
% 4.42/2.21 #Fact : 24
% 4.42/2.21 #Define : 0
% 4.42/2.21 #Split : 0
% 4.42/2.21 #Chain : 0
% 4.42/2.21 #Close : 0
% 4.42/2.21
% 4.42/2.21 Ordering : KBO
% 4.42/2.21
% 4.42/2.21 Simplification rules
% 4.42/2.21 ----------------------
% 4.42/2.21 #Subsume : 25
% 4.42/2.21 #Demod : 49
% 4.42/2.21 #Tautology : 50
% 4.42/2.21 #SimpNegUnit : 0
% 4.42/2.21 #BackRed : 0
% 4.42/2.21
% 4.42/2.21 #Partial instantiations: 0
% 4.42/2.21 #Strategies tried : 1
% 4.42/2.21
% 4.42/2.21 Timing (in seconds)
% 4.42/2.21 ----------------------
% 4.42/2.21 Preprocessing : 0.58
% 4.42/2.21 Parsing : 0.33
% 4.42/2.21 CNF conversion : 0.04
% 4.42/2.21 Main loop : 0.47
% 4.42/2.21 Inferencing : 0.20
% 4.42/2.21 Reduction : 0.12
% 4.42/2.21 Demodulation : 0.08
% 4.42/2.21 BG Simplification : 0.03
% 4.42/2.21 Subsumption : 0.10
% 4.42/2.21 Abstraction : 0.02
% 4.42/2.21 MUC search : 0.00
% 4.42/2.21 Cooper : 0.00
% 4.42/2.21 Total : 1.09
% 4.42/2.21 Index Insertion : 0.00
% 4.42/2.21 Index Deletion : 0.00
% 4.42/2.21 Index Matching : 0.00
% 4.42/2.21 BG Taut test : 0.00
%------------------------------------------------------------------------------