TSTP Solution File: GEO221+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO221+2 : 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/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 : n031.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 5.09s 2.20s
% Output : CNFRefutation 5.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of formulae : 28 ( 10 unt; 12 typ; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 23 ( 9 ~; 12 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 23 (; 23 !; 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_3 > #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_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(f_215,axiom,
! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc1) ).
tff(f_238,negated_conjecture,
~ ! [A,B,L] :
( ~ apart_point_and_line(B,orthogonal_through_point(L,A))
=> ~ distinct_lines(orthogonal_through_point(L,A),orthogonal_through_point(L,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_229,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/sandbox/benchmark/Axioms/GEO006+3.ax',ouo1) ).
tff(f_218,axiom,
! [A,L] : ~ apart_point_and_line(A,orthogonal_through_point(L,A)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc2) ).
tff(c_46,plain,
! [L_44,A_43] : ~ unorthogonal_lines(orthogonal_through_point(L_44,A_43),L_44),
inference(cnfTransformation,[status(thm)],[f_215]) ).
tff(c_54,plain,
~ apart_point_and_line('#skF_2',orthogonal_through_point('#skF_3','#skF_1')),
inference(cnfTransformation,[status(thm)],[f_238]) ).
tff(c_52,plain,
distinct_lines(orthogonal_through_point('#skF_3','#skF_1'),orthogonal_through_point('#skF_3','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_238]) ).
tff(c_1146,plain,
! [M_223,N_224,L_225,A_226] :
( unorthogonal_lines(M_223,N_224)
| unorthogonal_lines(L_225,N_224)
| apart_point_and_line(A_226,M_223)
| apart_point_and_line(A_226,L_225)
| ~ distinct_lines(L_225,M_223) ),
inference(cnfTransformation,[status(thm)],[f_229]) ).
tff(c_1256,plain,
! [N_224,A_226] :
( unorthogonal_lines(orthogonal_through_point('#skF_3','#skF_2'),N_224)
| unorthogonal_lines(orthogonal_through_point('#skF_3','#skF_1'),N_224)
| apart_point_and_line(A_226,orthogonal_through_point('#skF_3','#skF_2'))
| apart_point_and_line(A_226,orthogonal_through_point('#skF_3','#skF_1')) ),
inference(resolution,[status(thm)],[c_52,c_1146]) ).
tff(c_1304,plain,
! [A_245] :
( apart_point_and_line(A_245,orthogonal_through_point('#skF_3','#skF_2'))
| apart_point_and_line(A_245,orthogonal_through_point('#skF_3','#skF_1')) ),
inference(splitLeft,[status(thm)],[c_1256]) ).
tff(c_48,plain,
! [A_45,L_46] : ~ apart_point_and_line(A_45,orthogonal_through_point(L_46,A_45)),
inference(cnfTransformation,[status(thm)],[f_218]) ).
tff(c_1320,plain,
apart_point_and_line('#skF_2',orthogonal_through_point('#skF_3','#skF_1')),
inference(resolution,[status(thm)],[c_1304,c_48]) ).
tff(c_1328,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54,c_1320]) ).
tff(c_1341,plain,
! [N_250] :
( unorthogonal_lines(orthogonal_through_point('#skF_3','#skF_2'),N_250)
| unorthogonal_lines(orthogonal_through_point('#skF_3','#skF_1'),N_250) ),
inference(splitRight,[status(thm)],[c_1256]) ).
tff(c_1353,plain,
unorthogonal_lines(orthogonal_through_point('#skF_3','#skF_1'),'#skF_3'),
inference(resolution,[status(thm)],[c_1341,c_46]) ).
tff(c_1361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46,c_1353]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : GEO221+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15 % 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
% 0.14/0.36 % Computer : n031.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 01:07:00 EDT 2023
% 0.14/0.36 % CPUTime :
% 5.09/2.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.09/2.20
% 5.09/2.20 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.09/2.23
% 5.09/2.23 Inference rules
% 5.09/2.23 ----------------------
% 5.09/2.23 #Ref : 0
% 5.09/2.23 #Sup : 252
% 5.09/2.23 #Fact : 38
% 5.09/2.23 #Define : 0
% 5.09/2.23 #Split : 2
% 5.09/2.23 #Chain : 0
% 5.09/2.23 #Close : 0
% 5.09/2.23
% 5.09/2.23 Ordering : KBO
% 5.09/2.23
% 5.09/2.23 Simplification rules
% 5.09/2.23 ----------------------
% 5.09/2.23 #Subsume : 59
% 5.09/2.23 #Demod : 36
% 5.09/2.23 #Tautology : 41
% 5.09/2.23 #SimpNegUnit : 16
% 5.09/2.23 #BackRed : 0
% 5.09/2.23
% 5.09/2.23 #Partial instantiations: 0
% 5.09/2.23 #Strategies tried : 1
% 5.09/2.23
% 5.09/2.23 Timing (in seconds)
% 5.09/2.23 ----------------------
% 5.09/2.23 Preprocessing : 0.51
% 5.09/2.23 Parsing : 0.29
% 5.09/2.23 CNF conversion : 0.03
% 5.09/2.23 Main loop : 0.65
% 5.09/2.24 Inferencing : 0.25
% 5.09/2.24 Reduction : 0.16
% 5.09/2.24 Demodulation : 0.10
% 5.09/2.24 BG Simplification : 0.03
% 5.09/2.24 Subsumption : 0.18
% 5.09/2.24 Abstraction : 0.02
% 5.09/2.24 MUC search : 0.00
% 5.09/2.24 Cooper : 0.00
% 5.09/2.24 Total : 1.21
% 5.09/2.24 Index Insertion : 0.00
% 5.09/2.24 Index Deletion : 0.00
% 5.09/2.24 Index Matching : 0.00
% 5.09/2.24 BG Taut test : 0.00
%------------------------------------------------------------------------------