TSTP Solution File: GEO223+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO223+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n018.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 10:38:45 EDT 2023
% Result : Theorem 9.56s 3.34s
% Output : CNFRefutation 9.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of formulae : 54 ( 23 unt; 11 typ; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 64 ( 22 ~; 36 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 9 >; 9 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 70 (; 70 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ unorthogonal_lines > distinct_points > distinct_lines > convergent_lines > apart_point_and_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(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('#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(f_159,axiom,
! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp1) ).
tff(f_60,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_200,axiom,
! [L,M] :
( convergent_lines(L,M)
| unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',occu1) ).
tff(f_217,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_162,axiom,
! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp2) ).
tff(f_237,negated_conjecture,
~ ! [A,L] : ~ distinct_lines(parallel_through_point(L,A),orthogonal_through_point(orthogonal_through_point(L,A),A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_231,axiom,
! [A,L,M,N] :
( distinct_lines(L,M)
=> ( apart_point_and_line(A,L)
| apart_point_and_line(A,M)
| unorthogonal_lines(L,N)
| unorthogonal_lines(M,N) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ouo1) ).
tff(f_220,axiom,
! [A,L] : ~ apart_point_and_line(A,orthogonal_through_point(L,A)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ooc2) ).
tff(f_213,axiom,
! [L,M,N] :
( ( convergent_lines(L,M)
& unorthogonal_lines(L,M) )
=> ( ( convergent_lines(L,N)
& unorthogonal_lines(L,N) )
| ( convergent_lines(M,N)
& unorthogonal_lines(M,N) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',oac1) ).
tff(c_30,plain,
! [Y_35,X_34] : ~ convergent_lines(parallel_through_point(Y_35,X_34),Y_35),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_60,plain,
! [L_65,M_66] :
( unorthogonal_lines(L_65,M_66)
| convergent_lines(L_65,M_66) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_46,plain,
! [L_47,A_46] : ~ unorthogonal_lines(orthogonal_through_point(L_47,A_46),L_47),
inference(cnfTransformation,[status(thm)],[f_217]) ).
tff(c_65,plain,
! [M_66,A_46] : convergent_lines(orthogonal_through_point(M_66,A_46),M_66),
inference(resolution,[status(thm)],[c_60,c_46]) ).
tff(c_74,plain,
! [Y_86,Z_87,X_88] :
( convergent_lines(Y_86,Z_87)
| convergent_lines(X_88,Z_87)
| ~ convergent_lines(X_88,Y_86) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_78,plain,
! [M_89,Z_90,A_91] :
( convergent_lines(M_89,Z_90)
| convergent_lines(orthogonal_through_point(M_89,A_91),Z_90) ),
inference(resolution,[status(thm)],[c_65,c_74]) ).
tff(c_12,plain,
! [Y_11,Z_12,X_10] :
( convergent_lines(Y_11,Z_12)
| convergent_lines(X_10,Z_12)
| ~ convergent_lines(X_10,Y_11) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_298,plain,
! [Z_143,Z_144,M_145,A_146] :
( convergent_lines(Z_143,Z_144)
| convergent_lines(orthogonal_through_point(M_145,A_146),Z_144)
| convergent_lines(M_145,Z_143) ),
inference(resolution,[status(thm)],[c_78,c_12]) ).
tff(c_337,plain,
! [Z_143,M_145,A_146] :
( convergent_lines(Z_143,orthogonal_through_point(M_145,A_146))
| convergent_lines(M_145,Z_143) ),
inference(resolution,[status(thm)],[c_298,c_6]) ).
tff(c_32,plain,
! [X_36,Y_37] : ~ apart_point_and_line(X_36,parallel_through_point(Y_37,X_36)),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_52,plain,
distinct_lines(parallel_through_point('#skF_2','#skF_1'),orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1')),
inference(cnfTransformation,[status(thm)],[f_237]) ).
tff(c_1430,plain,
! [M_298,N_299,L_300,A_301] :
( unorthogonal_lines(M_298,N_299)
| unorthogonal_lines(L_300,N_299)
| apart_point_and_line(A_301,M_298)
| apart_point_and_line(A_301,L_300)
| ~ distinct_lines(L_300,M_298) ),
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_1556,plain,
! [N_299,A_301] :
( unorthogonal_lines(orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'),N_299)
| unorthogonal_lines(parallel_through_point('#skF_2','#skF_1'),N_299)
| apart_point_and_line(A_301,orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'))
| apart_point_and_line(A_301,parallel_through_point('#skF_2','#skF_1')) ),
inference(resolution,[status(thm)],[c_52,c_1430]) ).
tff(c_1692,plain,
! [A_325] :
( apart_point_and_line(A_325,orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'))
| apart_point_and_line(A_325,parallel_through_point('#skF_2','#skF_1')) ),
inference(splitLeft,[status(thm)],[c_1556]) ).
tff(c_48,plain,
! [A_48,L_49] : ~ apart_point_and_line(A_48,orthogonal_through_point(L_49,A_48)),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_1708,plain,
apart_point_and_line('#skF_1',parallel_through_point('#skF_2','#skF_1')),
inference(resolution,[status(thm)],[c_1692,c_48]) ).
tff(c_1716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32,c_1708]) ).
tff(c_1891,plain,
! [N_338] :
( unorthogonal_lines(orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'),N_338)
| unorthogonal_lines(parallel_through_point('#skF_2','#skF_1'),N_338) ),
inference(splitRight,[status(thm)],[c_1556]) ).
tff(c_1908,plain,
unorthogonal_lines(parallel_through_point('#skF_2','#skF_1'),orthogonal_through_point('#skF_2','#skF_1')),
inference(resolution,[status(thm)],[c_1891,c_46]) ).
tff(c_38,plain,
! [L_43,N_45,M_44] :
( unorthogonal_lines(L_43,N_45)
| unorthogonal_lines(M_44,N_45)
| ~ unorthogonal_lines(L_43,M_44)
| ~ convergent_lines(L_43,M_44) ),
inference(cnfTransformation,[status(thm)],[f_213]) ).
tff(c_1920,plain,
! [N_45] :
( unorthogonal_lines(parallel_through_point('#skF_2','#skF_1'),N_45)
| unorthogonal_lines(orthogonal_through_point('#skF_2','#skF_1'),N_45)
| ~ convergent_lines(parallel_through_point('#skF_2','#skF_1'),orthogonal_through_point('#skF_2','#skF_1')) ),
inference(resolution,[status(thm)],[c_1908,c_38]) ).
tff(c_5671,plain,
~ convergent_lines(parallel_through_point('#skF_2','#skF_1'),orthogonal_through_point('#skF_2','#skF_1')),
inference(splitLeft,[status(thm)],[c_1920]) ).
tff(c_5738,plain,
convergent_lines('#skF_2',parallel_through_point('#skF_2','#skF_1')),
inference(resolution,[status(thm)],[c_337,c_5671]) ).
tff(c_5790,plain,
! [Z_646] :
( convergent_lines(parallel_through_point('#skF_2','#skF_1'),Z_646)
| convergent_lines('#skF_2',Z_646) ),
inference(resolution,[status(thm)],[c_5738,c_12]) ).
tff(c_5801,plain,
convergent_lines('#skF_2','#skF_2'),
inference(resolution,[status(thm)],[c_5790,c_30]) ).
tff(c_5813,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_5801]) ).
tff(c_5815,plain,
convergent_lines(parallel_through_point('#skF_2','#skF_1'),orthogonal_through_point('#skF_2','#skF_1')),
inference(splitRight,[status(thm)],[c_1920]) ).
tff(c_40,plain,
! [L_43,N_45,M_44] :
( convergent_lines(L_43,N_45)
| unorthogonal_lines(M_44,N_45)
| ~ unorthogonal_lines(L_43,M_44)
| ~ convergent_lines(L_43,M_44) ),
inference(cnfTransformation,[status(thm)],[f_213]) ).
tff(c_1919,plain,
! [N_45] :
( convergent_lines(parallel_through_point('#skF_2','#skF_1'),N_45)
| unorthogonal_lines(orthogonal_through_point('#skF_2','#skF_1'),N_45)
| ~ convergent_lines(parallel_through_point('#skF_2','#skF_1'),orthogonal_through_point('#skF_2','#skF_1')) ),
inference(resolution,[status(thm)],[c_1908,c_40]) ).
tff(c_6016,plain,
! [N_657] :
( convergent_lines(parallel_through_point('#skF_2','#skF_1'),N_657)
| unorthogonal_lines(orthogonal_through_point('#skF_2','#skF_1'),N_657) ),
inference(demodulation,[status(thm),theory(equality)],[c_5815,c_1919]) ).
tff(c_6028,plain,
convergent_lines(parallel_through_point('#skF_2','#skF_1'),'#skF_2'),
inference(resolution,[status(thm)],[c_6016,c_46]) ).
tff(c_6036,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_6028]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO223+1 : TPTP v8.1.2. Released v3.3.0.
% 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
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 4 00:49:21 EDT 2023
% 0.14/0.36 % CPUTime :
% 9.56/3.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.56/3.34
% 9.56/3.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.56/3.37
% 9.56/3.37 Inference rules
% 9.56/3.37 ----------------------
% 9.56/3.38 #Ref : 0
% 9.56/3.38 #Sup : 1356
% 9.56/3.38 #Fact : 72
% 9.56/3.38 #Define : 0
% 9.56/3.38 #Split : 3
% 9.56/3.38 #Chain : 0
% 9.56/3.38 #Close : 0
% 9.56/3.38
% 9.56/3.38 Ordering : KBO
% 9.56/3.38
% 9.56/3.38 Simplification rules
% 9.56/3.38 ----------------------
% 9.56/3.38 #Subsume : 194
% 9.56/3.38 #Demod : 171
% 9.56/3.38 #Tautology : 170
% 9.56/3.38 #SimpNegUnit : 20
% 9.56/3.38 #BackRed : 0
% 9.56/3.38
% 9.56/3.38 #Partial instantiations: 0
% 9.56/3.38 #Strategies tried : 1
% 9.56/3.38
% 9.56/3.38 Timing (in seconds)
% 9.56/3.38 ----------------------
% 9.56/3.38 Preprocessing : 0.58
% 9.56/3.38 Parsing : 0.30
% 9.93/3.38 CNF conversion : 0.05
% 9.93/3.38 Main loop : 1.71
% 9.93/3.38 Inferencing : 0.57
% 9.93/3.38 Reduction : 0.42
% 9.93/3.38 Demodulation : 0.27
% 9.93/3.38 BG Simplification : 0.05
% 9.93/3.38 Subsumption : 0.55
% 9.93/3.38 Abstraction : 0.05
% 9.93/3.38 MUC search : 0.00
% 9.93/3.38 Cooper : 0.00
% 9.93/3.38 Total : 2.35
% 9.93/3.38 Index Insertion : 0.00
% 9.93/3.38 Index Deletion : 0.00
% 9.93/3.38 Index Matching : 0.00
% 9.93/3.38 BG Taut test : 0.00
%------------------------------------------------------------------------------