TSTP Solution File: GEO221+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO221+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/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 : 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 10:38:45 EDT 2023
% Result : Theorem 5.38s 2.30s
% Output : CNFRefutation 5.76s
% 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_217,axiom,
! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc1) ).
tff(f_240,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_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/sandbox/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/sandbox/benchmark/Axioms/GEO006+3.ax',ooc2) ).
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_54,plain,
~ apart_point_and_line('#skF_2',orthogonal_through_point('#skF_3','#skF_1')),
inference(cnfTransformation,[status(thm)],[f_240]) ).
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_240]) ).
tff(c_1240,plain,
! [M_248,N_249,L_250,A_251] :
( unorthogonal_lines(M_248,N_249)
| unorthogonal_lines(L_250,N_249)
| apart_point_and_line(A_251,M_248)
| apart_point_and_line(A_251,L_250)
| ~ distinct_lines(L_250,M_248) ),
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_1357,plain,
! [N_249,A_251] :
( unorthogonal_lines(orthogonal_through_point('#skF_3','#skF_2'),N_249)
| unorthogonal_lines(orthogonal_through_point('#skF_3','#skF_1'),N_249)
| apart_point_and_line(A_251,orthogonal_through_point('#skF_3','#skF_2'))
| apart_point_and_line(A_251,orthogonal_through_point('#skF_3','#skF_1')) ),
inference(resolution,[status(thm)],[c_52,c_1240]) ).
tff(c_1443,plain,
! [A_263] :
( apart_point_and_line(A_263,orthogonal_through_point('#skF_3','#skF_2'))
| apart_point_and_line(A_263,orthogonal_through_point('#skF_3','#skF_1')) ),
inference(splitLeft,[status(thm)],[c_1357]) ).
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_1459,plain,
apart_point_and_line('#skF_2',orthogonal_through_point('#skF_3','#skF_1')),
inference(resolution,[status(thm)],[c_1443,c_48]) ).
tff(c_1467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54,c_1459]) ).
tff(c_1469,plain,
! [N_264] :
( unorthogonal_lines(orthogonal_through_point('#skF_3','#skF_2'),N_264)
| unorthogonal_lines(orthogonal_through_point('#skF_3','#skF_1'),N_264) ),
inference(splitRight,[status(thm)],[c_1357]) ).
tff(c_1481,plain,
unorthogonal_lines(orthogonal_through_point('#skF_3','#skF_1'),'#skF_3'),
inference(resolution,[status(thm)],[c_1469,c_46]) ).
tff(c_1489,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46,c_1481]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO221+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % 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
% 0.13/0.35 % 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 00:11:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 5.38/2.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.38/2.30
% 5.38/2.30 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.76/2.33
% 5.76/2.33 Inference rules
% 5.76/2.33 ----------------------
% 5.76/2.33 #Ref : 0
% 5.76/2.33 #Sup : 304
% 5.76/2.33 #Fact : 26
% 5.76/2.33 #Define : 0
% 5.76/2.33 #Split : 2
% 5.76/2.33 #Chain : 0
% 5.76/2.33 #Close : 0
% 5.76/2.33
% 5.76/2.33 Ordering : KBO
% 5.76/2.33
% 5.76/2.33 Simplification rules
% 5.76/2.33 ----------------------
% 5.76/2.33 #Subsume : 55
% 5.76/2.33 #Demod : 43
% 5.76/2.33 #Tautology : 47
% 5.76/2.33 #SimpNegUnit : 12
% 5.76/2.33 #BackRed : 0
% 5.76/2.33
% 5.76/2.33 #Partial instantiations: 0
% 5.76/2.33 #Strategies tried : 1
% 5.76/2.33
% 5.76/2.33 Timing (in seconds)
% 5.76/2.33 ----------------------
% 5.76/2.33 Preprocessing : 0.53
% 5.76/2.33 Parsing : 0.30
% 5.76/2.33 CNF conversion : 0.03
% 5.76/2.33 Main loop : 0.72
% 5.76/2.33 Inferencing : 0.27
% 5.76/2.33 Reduction : 0.18
% 5.76/2.33 Demodulation : 0.11
% 5.76/2.33 BG Simplification : 0.03
% 5.76/2.33 Subsumption : 0.19
% 5.76/2.33 Abstraction : 0.03
% 5.76/2.33 MUC search : 0.00
% 5.76/2.34 Cooper : 0.00
% 5.76/2.34 Total : 1.30
% 5.76/2.34 Index Insertion : 0.00
% 5.76/2.34 Index Deletion : 0.00
% 5.76/2.34 Index Matching : 0.00
% 5.76/2.34 BG Taut test : 0.00
%------------------------------------------------------------------------------