TSTP Solution File: GEO224+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO224+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 : n005.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 10:38:46 EDT 2023
% Result : Theorem 4.19s 1.95s
% Output : CNFRefutation 4.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 27
% Syntax : Number of formulae : 49 ( 11 unt; 18 typ; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 32 ~; 19 |; 6 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 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 : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 50 (; 49 !; 1 ?; 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_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_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_437,negated_conjecture,
~ ! [X,Y] :
( ( point(X)
& line(Y) )
=> ? [Z] :
( point(Z)
& incident_point_and_line(Z,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_376,axiom,
! [L,A] :
( ( line(L)
& point(A) )
=> line(orthogonal_through_point(L,A)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+5.ax',orth1) ).
tff(f_291,axiom,
! [L,M] :
~ ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',coipo1) ).
tff(f_245,axiom,
! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ooc1) ).
tff(f_78,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).
tff(f_60,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_362,axiom,
! [L,M] :
( ( line(L)
& line(M)
& convergent_lines(L,M) )
=> point(intersection_point(L,M)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+5.ax',int1) ).
tff(f_420,axiom,
! [X,Y] :
( incident_point_and_line(X,Y)
<=> ~ apart_point_and_line(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a4) ).
tff(f_94,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci3) ).
tff(c_96,plain,
line('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_72,plain,
! [L_70,A_71] :
( line(orthogonal_through_point(L_70,A_71))
| ~ point(A_71)
| ~ line(L_70) ),
inference(cnfTransformation,[status(thm)],[f_376]) ).
tff(c_121,plain,
! [L_106,M_107] :
( unorthogonal_lines(L_106,M_107)
| convergent_lines(L_106,M_107) ),
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_48,plain,
! [L_49,A_48] : ~ unorthogonal_lines(orthogonal_through_point(L_49,A_48),L_49),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_126,plain,
! [M_107,A_48] : convergent_lines(orthogonal_through_point(M_107,A_48),M_107),
inference(resolution,[status(thm)],[c_121,c_48]) ).
tff(c_271,plain,
! [Y_169,Z_170,X_171] :
( convergent_lines(Y_169,Z_170)
| convergent_lines(X_171,Z_170)
| ~ convergent_lines(X_171,Y_169) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_281,plain,
! [M_172,Z_173,A_174] :
( convergent_lines(M_172,Z_173)
| convergent_lines(orthogonal_through_point(M_172,A_174),Z_173) ),
inference(resolution,[status(thm)],[c_126,c_271]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_292,plain,
! [M_172,A_174] : convergent_lines(M_172,orthogonal_through_point(M_172,A_174)),
inference(resolution,[status(thm)],[c_281,c_6]) ).
tff(c_633,plain,
! [L_240,M_241] :
( point(intersection_point(L_240,M_241))
| ~ convergent_lines(L_240,M_241)
| ~ line(M_241)
| ~ line(L_240) ),
inference(cnfTransformation,[status(thm)],[f_362]) ).
tff(c_150,plain,
! [X_122,Y_123] :
( incident_point_and_line(X_122,Y_123)
| apart_point_and_line(X_122,Y_123) ),
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_94,plain,
! [Z_83] :
( ~ incident_point_and_line(Z_83,'#skF_2')
| ~ point(Z_83) ),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_159,plain,
! [X_122] :
( ~ point(X_122)
| apart_point_and_line(X_122,'#skF_2') ),
inference(resolution,[status(thm)],[c_150,c_94]) ).
tff(c_176,plain,
! [X_134,Y_135] :
( ~ apart_point_and_line(intersection_point(X_134,Y_135),X_134)
| ~ convergent_lines(X_134,Y_135) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_181,plain,
! [Y_135] :
( ~ convergent_lines('#skF_2',Y_135)
| ~ point(intersection_point('#skF_2',Y_135)) ),
inference(resolution,[status(thm)],[c_159,c_176]) ).
tff(c_649,plain,
! [M_241] :
( ~ convergent_lines('#skF_2',M_241)
| ~ line(M_241)
| ~ line('#skF_2') ),
inference(resolution,[status(thm)],[c_633,c_181]) ).
tff(c_664,plain,
! [M_242] :
( ~ convergent_lines('#skF_2',M_242)
| ~ line(M_242) ),
inference(demodulation,[status(thm),theory(equality)],[c_96,c_649]) ).
tff(c_690,plain,
! [A_243] : ~ line(orthogonal_through_point('#skF_2',A_243)),
inference(resolution,[status(thm)],[c_292,c_664]) ).
tff(c_694,plain,
! [A_71] :
( ~ point(A_71)
| ~ line('#skF_2') ),
inference(resolution,[status(thm)],[c_72,c_690]) ).
tff(c_697,plain,
! [A_71] : ~ point(A_71),
inference(demodulation,[status(thm),theory(equality)],[c_96,c_694]) ).
tff(c_98,plain,
point('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_700,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_697,c_98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO224+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % 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
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 4 00:11:57 EDT 2023
% 0.13/0.35 % CPUTime :
% 4.19/1.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.19/1.96
% 4.19/1.96 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.19/1.99
% 4.19/1.99 Inference rules
% 4.19/1.99 ----------------------
% 4.19/1.99 #Ref : 0
% 4.19/1.99 #Sup : 126
% 4.19/1.99 #Fact : 2
% 4.19/1.99 #Define : 0
% 4.19/1.99 #Split : 0
% 4.19/1.99 #Chain : 0
% 4.19/1.99 #Close : 0
% 4.19/1.99
% 4.19/1.99 Ordering : KBO
% 4.19/1.99
% 4.19/1.99 Simplification rules
% 4.19/1.99 ----------------------
% 4.19/1.99 #Subsume : 48
% 4.19/1.99 #Demod : 10
% 4.19/1.99 #Tautology : 12
% 4.19/1.99 #SimpNegUnit : 4
% 4.19/1.99 #BackRed : 2
% 4.19/1.99
% 4.19/1.99 #Partial instantiations: 0
% 4.19/1.99 #Strategies tried : 1
% 4.19/1.99
% 4.19/1.99 Timing (in seconds)
% 4.19/1.99 ----------------------
% 4.19/1.99 Preprocessing : 0.53
% 4.19/1.99 Parsing : 0.29
% 4.19/1.99 CNF conversion : 0.04
% 4.19/1.99 Main loop : 0.43
% 4.19/1.99 Inferencing : 0.18
% 4.19/1.99 Reduction : 0.11
% 4.19/1.99 Demodulation : 0.07
% 4.19/1.99 BG Simplification : 0.03
% 4.19/1.99 Subsumption : 0.10
% 4.19/1.99 Abstraction : 0.01
% 4.19/1.99 MUC search : 0.00
% 4.19/1.99 Cooper : 0.00
% 4.19/1.99 Total : 1.01
% 4.19/1.99 Index Insertion : 0.00
% 4.19/1.99 Index Deletion : 0.00
% 4.19/1.99 Index Matching : 0.00
% 4.19/1.99 BG Taut test : 0.00
%------------------------------------------------------------------------------