TSTP Solution File: GEO182+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO182+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 : n022.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 10:38:29 EDT 2023
% Result : Theorem 4.84s 2.21s
% Output : CNFRefutation 5.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 26
% Syntax : Number of formulae : 39 ( 9 unt; 19 typ; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 10 ~; 12 |; 0 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 35 (; 35 !; 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_435,negated_conjecture,
~ ! [X,Y,Z] :
( distinct_points(X,Y)
=> ( apart_point_and_line(Z,line_connecting(X,Y))
=> apart_point_and_line(Z,line_connecting(Y,X)) ) ),
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_96,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_435]) ).
tff(c_393,plain,
! [X_189,Z_190,Y_191] :
( apart_point_and_line(X_189,Z_190)
| distinct_lines(Y_191,Z_190)
| ~ apart_point_and_line(X_189,Y_191) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_403,plain,
! [Z_192] :
( apart_point_and_line('#skF_3',Z_192)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_192) ),
inference(resolution,[status(thm)],[c_96,c_393]) ).
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_991,plain,
! [Z_224,Z_225] :
( distinct_lines(Z_224,Z_225)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_225)
| apart_point_and_line('#skF_3',Z_224) ),
inference(resolution,[status(thm)],[c_403,c_10]) ).
tff(c_4,plain,
! [X_2] : ~ distinct_lines(X_2,X_2),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_1031,plain,
! [Z_227] :
( distinct_lines(Z_227,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_3',Z_227) ),
inference(resolution,[status(thm)],[c_991,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_1045,plain,
! [Z_228] :
( convergent_lines(Z_228,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_3',Z_228) ),
inference(resolution,[status(thm)],[c_1031,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_1066,plain,
! [X_229] : apart_point_and_line('#skF_3',parallel_through_point(line_connecting('#skF_1','#skF_2'),X_229)),
inference(resolution,[status(thm)],[c_1045,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_1077,plain,
$false,
inference(resolution,[status(thm)],[c_1066,c_34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO182+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % 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
% 0.17/0.35 % Computer : n022.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Fri Aug 4 00:26:18 EDT 2023
% 0.17/0.35 % CPUTime :
% 4.84/2.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.84/2.21
% 4.84/2.21 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.10/2.24
% 5.10/2.24 Inference rules
% 5.10/2.24 ----------------------
% 5.10/2.24 #Ref : 0
% 5.10/2.24 #Sup : 161
% 5.10/2.24 #Fact : 28
% 5.10/2.24 #Define : 0
% 5.10/2.24 #Split : 0
% 5.10/2.24 #Chain : 0
% 5.10/2.24 #Close : 0
% 5.10/2.24
% 5.10/2.24 Ordering : KBO
% 5.10/2.24
% 5.10/2.24 Simplification rules
% 5.10/2.24 ----------------------
% 5.10/2.24 #Subsume : 26
% 5.10/2.24 #Demod : 50
% 5.10/2.24 #Tautology : 51
% 5.10/2.24 #SimpNegUnit : 0
% 5.10/2.24 #BackRed : 0
% 5.10/2.24
% 5.10/2.24 #Partial instantiations: 0
% 5.10/2.24 #Strategies tried : 1
% 5.10/2.24
% 5.10/2.24 Timing (in seconds)
% 5.10/2.24 ----------------------
% 5.10/2.25 Preprocessing : 0.57
% 5.10/2.25 Parsing : 0.32
% 5.10/2.25 CNF conversion : 0.04
% 5.10/2.25 Main loop : 0.62
% 5.10/2.25 Inferencing : 0.25
% 5.10/2.25 Reduction : 0.16
% 5.10/2.25 Demodulation : 0.10
% 5.10/2.25 BG Simplification : 0.04
% 5.10/2.25 Subsumption : 0.14
% 5.10/2.25 Abstraction : 0.02
% 5.10/2.25 MUC search : 0.00
% 5.10/2.25 Cooper : 0.00
% 5.10/2.25 Total : 1.25
% 5.10/2.25 Index Insertion : 0.00
% 5.10/2.25 Index Deletion : 0.00
% 5.10/2.25 Index Matching : 0.00
% 5.10/2.25 BG Taut test : 0.00
%------------------------------------------------------------------------------