TSTP Solution File: GEO185+3 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO185+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 10:38:30 EDT 2023
% Result : Theorem 4.69s 2.12s
% Output : CNFRefutation 4.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 26
% Syntax : Number of formulae : 51 ( 14 unt; 20 typ; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 46 ( 23 ~; 14 |; 3 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 35 (; 35 !; 0 ?; 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_3 > #skF_1 > #skF_4
%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_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('#skF_4',type,
'#skF_4': $i ).
tff(orthogonal_lines,type,
orthogonal_lines: ( $i * $i ) > $o ).
tff(f_438,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& equal_points(X,intersection_point(U,V)) )
=> ( incident_point_and_line(X,U)
& incident_point_and_line(X,V) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
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_119,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq1) ).
tff(f_405,axiom,
! [X,Y] :
( equal_points(X,Y)
<=> ~ distinct_points(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',ax1) ).
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(f_99,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci4) ).
tff(c_98,plain,
convergent_lines('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_749,plain,
! [X_248,Y_249] :
( incident_point_and_line(X_248,Y_249)
| apart_point_and_line(X_248,Y_249) ),
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_151,plain,
! [X_117,Y_118] :
( incident_point_and_line(X_117,Y_118)
| apart_point_and_line(X_117,Y_118) ),
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_94,plain,
( ~ incident_point_and_line('#skF_1','#skF_4')
| ~ incident_point_and_line('#skF_1','#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_107,plain,
~ incident_point_and_line('#skF_1','#skF_3'),
inference(splitLeft,[status(thm)],[c_94]) ).
tff(c_159,plain,
apart_point_and_line('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_151,c_107]) ).
tff(c_628,plain,
! [Z_218,Y_219,X_220] :
( apart_point_and_line(Z_218,Y_219)
| distinct_points(X_220,Z_218)
| ~ apart_point_and_line(X_220,Y_219) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_674,plain,
! [Z_223] :
( apart_point_and_line(Z_223,'#skF_3')
| distinct_points('#skF_1',Z_223) ),
inference(resolution,[status(thm)],[c_159,c_628]) ).
tff(c_96,plain,
equal_points('#skF_1',intersection_point('#skF_3','#skF_4')),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_132,plain,
! [X_111,Y_112] :
( ~ distinct_points(X_111,Y_112)
| ~ equal_points(X_111,Y_112) ),
inference(cnfTransformation,[status(thm)],[f_405]) ).
tff(c_136,plain,
~ distinct_points('#skF_1',intersection_point('#skF_3','#skF_4')),
inference(resolution,[status(thm)],[c_96,c_132]) ).
tff(c_685,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_3'),
inference(resolution,[status(thm)],[c_674,c_136]) ).
tff(c_18,plain,
! [X_17,Y_18] :
( ~ apart_point_and_line(intersection_point(X_17,Y_18),X_17)
| ~ convergent_lines(X_17,Y_18) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_694,plain,
~ convergent_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_685,c_18]) ).
tff(c_700,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_694]) ).
tff(c_701,plain,
~ incident_point_and_line('#skF_1','#skF_4'),
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_757,plain,
apart_point_and_line('#skF_1','#skF_4'),
inference(resolution,[status(thm)],[c_749,c_701]) ).
tff(c_951,plain,
! [Z_290,Y_291,X_292] :
( apart_point_and_line(Z_290,Y_291)
| distinct_points(X_292,Z_290)
| ~ apart_point_and_line(X_292,Y_291) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_962,plain,
! [Z_294] :
( apart_point_and_line(Z_294,'#skF_4')
| distinct_points('#skF_1',Z_294) ),
inference(resolution,[status(thm)],[c_757,c_951]) ).
tff(c_723,plain,
! [X_238,Y_239] :
( ~ distinct_points(X_238,Y_239)
| ~ equal_points(X_238,Y_239) ),
inference(cnfTransformation,[status(thm)],[f_405]) ).
tff(c_727,plain,
~ distinct_points('#skF_1',intersection_point('#skF_3','#skF_4')),
inference(resolution,[status(thm)],[c_96,c_723]) ).
tff(c_970,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4'),
inference(resolution,[status(thm)],[c_962,c_727]) ).
tff(c_20,plain,
! [X_19,Y_20] :
( ~ apart_point_and_line(intersection_point(X_19,Y_20),Y_20)
| ~ convergent_lines(X_19,Y_20) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_977,plain,
~ convergent_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_970,c_20]) ).
tff(c_982,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_977]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO185+3 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 4 00:45:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 4.69/2.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.77/2.12
% 4.77/2.12 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.77/2.15
% 4.77/2.15 Inference rules
% 4.77/2.15 ----------------------
% 4.77/2.15 #Ref : 0
% 4.77/2.15 #Sup : 178
% 4.77/2.15 #Fact : 6
% 4.77/2.15 #Define : 0
% 4.77/2.15 #Split : 1
% 4.77/2.15 #Chain : 0
% 4.77/2.15 #Close : 0
% 4.77/2.15
% 4.77/2.15 Ordering : KBO
% 4.77/2.15
% 4.77/2.15 Simplification rules
% 4.77/2.15 ----------------------
% 4.77/2.15 #Subsume : 21
% 4.77/2.15 #Demod : 33
% 4.77/2.15 #Tautology : 41
% 4.77/2.15 #SimpNegUnit : 0
% 4.77/2.15 #BackRed : 0
% 4.77/2.15
% 4.77/2.15 #Partial instantiations: 0
% 4.77/2.15 #Strategies tried : 1
% 4.77/2.15
% 4.77/2.15 Timing (in seconds)
% 4.77/2.15 ----------------------
% 4.77/2.16 Preprocessing : 0.55
% 4.77/2.16 Parsing : 0.31
% 4.77/2.16 CNF conversion : 0.04
% 4.77/2.16 Main loop : 0.54
% 4.77/2.16 Inferencing : 0.21
% 4.77/2.16 Reduction : 0.14
% 4.77/2.16 Demodulation : 0.09
% 4.77/2.16 BG Simplification : 0.03
% 4.77/2.16 Subsumption : 0.11
% 4.77/2.16 Abstraction : 0.02
% 4.77/2.16 MUC search : 0.00
% 4.77/2.16 Cooper : 0.00
% 4.77/2.16 Total : 1.14
% 4.77/2.16 Index Insertion : 0.00
% 4.77/2.16 Index Deletion : 0.00
% 4.77/2.16 Index Matching : 0.00
% 4.77/2.16 BG Taut test : 0.00
%------------------------------------------------------------------------------