TSTP Solution File: GEO193+2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO193+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 : n007.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 10:38:34 EDT 2023
% Result : Theorem 12.37s 4.13s
% Output : CNFRefutation 12.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 49 ( 16 unt; 9 typ; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 104 ( 34 ~; 60 |; 3 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 6 >; 6 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 60 (; 60 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > 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(apart_point_and_line,type,
apart_point_and_line: ( $i * $i ) > $o ).
tff(convergent_lines,type,
convergent_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(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(f_142,negated_conjecture,
~ ! [X,Y,Z] :
( ( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z) )
=> ( apart_point_and_line(intersection_point(X,Y),Z)
=> apart_point_and_line(intersection_point(Z,Y),X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_119,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq1) ).
tff(f_129,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq3) ).
tff(f_112,axiom,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_lines(U,V) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',cu1) ).
tff(f_99,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( ( apart_point_and_line(Z,X)
| apart_point_and_line(Z,Y) )
=> distinct_points(Z,intersection_point(X,Y)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con2) ).
tff(f_58,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(c_30,plain,
~ apart_point_and_line(intersection_point('#skF_3','#skF_2'),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_36,plain,
convergent_lines('#skF_3','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_38,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_32,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_89,plain,
! [Z_45,Y_46,X_47] :
( apart_point_and_line(Z_45,Y_46)
| distinct_points(X_47,Z_45)
| ~ apart_point_and_line(X_47,Y_46) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_92,plain,
! [Z_45] :
( apart_point_and_line(Z_45,'#skF_3')
| distinct_points(intersection_point('#skF_1','#skF_2'),Z_45) ),
inference(resolution,[status(thm)],[c_32,c_89]) ).
tff(c_28,plain,
! [X_29,Y_30] :
( distinct_lines(X_29,Y_30)
| ~ convergent_lines(X_29,Y_30) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_1069,plain,
! [Y_124,V_125,U_126,X_127] :
( apart_point_and_line(Y_124,V_125)
| apart_point_and_line(Y_124,U_126)
| apart_point_and_line(X_127,V_125)
| apart_point_and_line(X_127,U_126)
| ~ distinct_lines(U_126,V_125)
| ~ distinct_points(X_127,Y_124) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_2059,plain,
! [Y_172,Y_173,X_174,X_175] :
( apart_point_and_line(Y_172,Y_173)
| apart_point_and_line(Y_172,X_174)
| apart_point_and_line(X_175,Y_173)
| apart_point_and_line(X_175,X_174)
| ~ distinct_points(X_175,Y_172)
| ~ convergent_lines(X_174,Y_173) ),
inference(resolution,[status(thm)],[c_28,c_1069]) ).
tff(c_3766,plain,
! [Z_251,Y_252,X_253] :
( apart_point_and_line(Z_251,Y_252)
| apart_point_and_line(Z_251,X_253)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Y_252)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),X_253)
| ~ convergent_lines(X_253,Y_252)
| apart_point_and_line(Z_251,'#skF_3') ),
inference(resolution,[status(thm)],[c_92,c_2059]) ).
tff(c_3944,plain,
! [Z_251] :
( apart_point_and_line(Z_251,'#skF_2')
| apart_point_and_line(Z_251,'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| apart_point_and_line(Z_251,'#skF_3') ),
inference(resolution,[status(thm)],[c_38,c_3766]) ).
tff(c_4046,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_3944]) ).
tff(c_355,plain,
! [Z_76,X_77,Y_78] :
( ~ apart_point_and_line(Z_76,X_77)
| distinct_points(Z_76,intersection_point(X_77,Y_78))
| ~ convergent_lines(X_77,Y_78) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_363,plain,
! [X_77,Y_78] :
( ~ apart_point_and_line(intersection_point(X_77,Y_78),X_77)
| ~ convergent_lines(X_77,Y_78) ),
inference(resolution,[status(thm)],[c_355,c_2]) ).
tff(c_4053,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_4046,c_363]) ).
tff(c_4063,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_4053]) ).
tff(c_4064,plain,
! [Z_251] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| apart_point_and_line(Z_251,'#skF_2')
| apart_point_and_line(Z_251,'#skF_1')
| apart_point_and_line(Z_251,'#skF_3') ),
inference(splitRight,[status(thm)],[c_3944]) ).
tff(c_8542,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_4064]) ).
tff(c_568,plain,
! [Z_91,Y_92,X_93] :
( ~ apart_point_and_line(Z_91,Y_92)
| distinct_points(Z_91,intersection_point(X_93,Y_92))
| ~ convergent_lines(X_93,Y_92) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_576,plain,
! [X_93,Y_92] :
( ~ apart_point_and_line(intersection_point(X_93,Y_92),Y_92)
| ~ convergent_lines(X_93,Y_92) ),
inference(resolution,[status(thm)],[c_568,c_2]) ).
tff(c_8561,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_8542,c_576]) ).
tff(c_8587,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_8561]) ).
tff(c_8589,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitRight,[status(thm)],[c_4064]) ).
tff(c_4065,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitRight,[status(thm)],[c_3944]) ).
tff(c_20,plain,
! [Z_18,X_16,Y_17] :
( ~ apart_point_and_line(Z_18,X_16)
| distinct_points(Z_18,intersection_point(X_16,Y_17))
| ~ convergent_lines(X_16,Y_17) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_4944,plain,
! [Y_293,X_292,Z_290,Y_291,X_289] :
( apart_point_and_line(intersection_point(X_289,Y_291),Y_293)
| apart_point_and_line(intersection_point(X_289,Y_291),X_292)
| apart_point_and_line(Z_290,Y_293)
| apart_point_and_line(Z_290,X_292)
| ~ convergent_lines(X_292,Y_293)
| ~ apart_point_and_line(Z_290,X_289)
| ~ convergent_lines(X_289,Y_291) ),
inference(resolution,[status(thm)],[c_20,c_2059]) ).
tff(c_5315,plain,
! [X_302,Y_303,Z_304] :
( apart_point_and_line(intersection_point(X_302,Y_303),'#skF_2')
| apart_point_and_line(intersection_point(X_302,Y_303),'#skF_1')
| apart_point_and_line(Z_304,'#skF_2')
| apart_point_and_line(Z_304,'#skF_1')
| ~ apart_point_and_line(Z_304,X_302)
| ~ convergent_lines(X_302,Y_303) ),
inference(resolution,[status(thm)],[c_38,c_4944]) ).
tff(c_5323,plain,
! [Y_303] :
( apart_point_and_line(intersection_point('#skF_3',Y_303),'#skF_2')
| apart_point_and_line(intersection_point('#skF_3',Y_303),'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| ~ convergent_lines('#skF_3',Y_303) ),
inference(resolution,[status(thm)],[c_32,c_5315]) ).
tff(c_5333,plain,
! [Y_303] :
( apart_point_and_line(intersection_point('#skF_3',Y_303),'#skF_2')
| apart_point_and_line(intersection_point('#skF_3',Y_303),'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| ~ convergent_lines('#skF_3',Y_303) ),
inference(negUnitSimplification,[status(thm)],[c_4065,c_5323]) ).
tff(c_12360,plain,
! [Y_551] :
( apart_point_and_line(intersection_point('#skF_3',Y_551),'#skF_2')
| apart_point_and_line(intersection_point('#skF_3',Y_551),'#skF_1')
| ~ convergent_lines('#skF_3',Y_551) ),
inference(negUnitSimplification,[status(thm)],[c_8589,c_5333]) ).
tff(c_12380,plain,
( apart_point_and_line(intersection_point('#skF_3','#skF_2'),'#skF_1')
| ~ convergent_lines('#skF_3','#skF_2') ),
inference(resolution,[status(thm)],[c_12360,c_576]) ).
tff(c_12395,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_2'),'#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_12380]) ).
tff(c_12397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_12395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO193+2 : 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
% 0.18/0.34 % Computer : n007.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Fri Aug 4 00:09:54 EDT 2023
% 0.18/0.34 % CPUTime :
% 12.37/4.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.37/4.14
% 12.37/4.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.37/4.17
% 12.37/4.17 Inference rules
% 12.37/4.17 ----------------------
% 12.37/4.17 #Ref : 0
% 12.37/4.17 #Sup : 2212
% 12.37/4.17 #Fact : 506
% 12.37/4.17 #Define : 0
% 12.37/4.17 #Split : 2
% 12.37/4.17 #Chain : 0
% 12.37/4.17 #Close : 0
% 12.37/4.17
% 12.37/4.17 Ordering : KBO
% 12.37/4.17
% 12.37/4.17 Simplification rules
% 12.37/4.17 ----------------------
% 12.37/4.17 #Subsume : 624
% 12.37/4.17 #Demod : 445
% 12.37/4.17 #Tautology : 420
% 12.37/4.17 #SimpNegUnit : 245
% 12.37/4.17 #BackRed : 0
% 12.37/4.17
% 12.37/4.17 #Partial instantiations: 0
% 12.37/4.17 #Strategies tried : 1
% 12.37/4.17
% 12.37/4.17 Timing (in seconds)
% 12.37/4.17 ----------------------
% 12.37/4.17 Preprocessing : 0.46
% 12.37/4.17 Parsing : 0.25
% 12.37/4.17 CNF conversion : 0.03
% 12.37/4.17 Main loop : 2.66
% 12.37/4.17 Inferencing : 0.89
% 12.37/4.17 Reduction : 0.52
% 12.37/4.17 Demodulation : 0.30
% 12.37/4.17 BG Simplification : 0.06
% 12.37/4.17 Subsumption : 1.06
% 12.37/4.17 Abstraction : 0.06
% 12.37/4.17 MUC search : 0.00
% 12.37/4.17 Cooper : 0.00
% 12.37/4.17 Total : 3.18
% 12.37/4.17 Index Insertion : 0.00
% 12.37/4.17 Index Deletion : 0.00
% 12.37/4.17 Index Matching : 0.00
% 12.37/4.17 BG Taut test : 0.00
%------------------------------------------------------------------------------