TSTP Solution File: GEO200+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO200+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 : n013.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 10:38:37 EDT 2023
% Result : Theorem 7.11s 2.75s
% Output : CNFRefutation 7.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 25
% Syntax : Number of formulae : 57 ( 18 unt; 18 typ; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 60 ( 20 ~; 33 |; 1 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 42 (; 42 !; 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_1
%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_1',type,
'#skF_1': $i ).
tff(unorthogonal_lines,type,
unorthogonal_lines: ( $i * $i ) > $o ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(orthogonal_lines,type,
orthogonal_lines: ( $i * $i ) > $o ).
tff(f_432,negated_conjecture,
~ ! [X,Y] :
( distinct_points(X,Y)
=> equal_lines(line_connecting(X,Y),line_connecting(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_66,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart4) ).
tff(f_54,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart1) ).
tff(f_410,axiom,
! [X,Y] :
( equal_lines(X,Y)
<=> ~ distinct_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',ax2) ).
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/sandbox2/benchmark/Axioms/GEO006+0.ax',cu1) ).
tff(f_84,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci1) ).
tff(f_89,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci2) ).
tff(c_96,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_432]) ).
tff(c_338,plain,
! [Y_186,Z_187,X_188] :
( distinct_points(Y_186,Z_187)
| distinct_points(X_188,Z_187)
| ~ distinct_points(X_188,Y_186) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_342,plain,
! [Z_189] :
( distinct_points('#skF_2',Z_189)
| distinct_points('#skF_1',Z_189) ),
inference(resolution,[status(thm)],[c_96,c_338]) ).
tff(c_8,plain,
! [Y_5,Z_6,X_4] :
( distinct_points(Y_5,Z_6)
| distinct_points(X_4,Z_6)
| ~ distinct_points(X_4,Y_5) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_370,plain,
! [Z_190,Z_191] :
( distinct_points(Z_190,Z_191)
| distinct_points('#skF_2',Z_191)
| distinct_points('#skF_1',Z_190) ),
inference(resolution,[status(thm)],[c_342,c_8]) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_392,plain,
! [Z_192] :
( distinct_points(Z_192,'#skF_2')
| distinct_points('#skF_1',Z_192) ),
inference(resolution,[status(thm)],[c_370,c_2]) ).
tff(c_496,plain,
! [Z_197,Z_198] :
( distinct_points(Z_197,Z_198)
| distinct_points('#skF_1',Z_198)
| distinct_points(Z_197,'#skF_2') ),
inference(resolution,[status(thm)],[c_392,c_8]) ).
tff(c_521,plain,
! [Z_199] :
( distinct_points(Z_199,'#skF_1')
| distinct_points(Z_199,'#skF_2') ),
inference(resolution,[status(thm)],[c_496,c_2]) ).
tff(c_529,plain,
distinct_points('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_521,c_2]) ).
tff(c_106,plain,
! [X_97,Y_98] :
( equal_lines(X_97,Y_98)
| distinct_lines(X_97,Y_98) ),
inference(cnfTransformation,[status(thm)],[f_410]) ).
tff(c_94,plain,
~ equal_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_2','#skF_1')),
inference(cnfTransformation,[status(thm)],[f_432]) ).
tff(c_110,plain,
distinct_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_2','#skF_1')),
inference(resolution,[status(thm)],[c_106,c_94]) ).
tff(c_2969,plain,
! [Y_454,V_455,U_456,X_457] :
( apart_point_and_line(Y_454,V_455)
| apart_point_and_line(Y_454,U_456)
| apart_point_and_line(X_457,V_455)
| apart_point_and_line(X_457,U_456)
| ~ distinct_lines(U_456,V_455)
| ~ distinct_points(X_457,Y_454) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_3139,plain,
! [Y_466,X_467] :
( apart_point_and_line(Y_466,line_connecting('#skF_2','#skF_1'))
| apart_point_and_line(Y_466,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_467,line_connecting('#skF_2','#skF_1'))
| apart_point_and_line(X_467,line_connecting('#skF_1','#skF_2'))
| ~ distinct_points(X_467,Y_466) ),
inference(resolution,[status(thm)],[c_110,c_2969]) ).
tff(c_3244,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_2','#skF_1'))
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_96,c_3139]) ).
tff(c_3730,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_3244]) ).
tff(c_14,plain,
! [X_13,Y_14] :
( ~ apart_point_and_line(X_13,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_3737,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_3730,c_14]) ).
tff(c_3743,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_96,c_3737]) ).
tff(c_3744,plain,
( apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1'))
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2',line_connecting('#skF_2','#skF_1')) ),
inference(splitRight,[status(thm)],[c_3244]) ).
tff(c_4082,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_2','#skF_1')),
inference(splitLeft,[status(thm)],[c_3744]) ).
tff(c_4089,plain,
~ distinct_points('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_4082,c_14]) ).
tff(c_4095,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_529,c_4089]) ).
tff(c_4096,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1')) ),
inference(splitRight,[status(thm)],[c_3744]) ).
tff(c_4098,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1')),
inference(splitLeft,[status(thm)],[c_4096]) ).
tff(c_16,plain,
! [Y_16,X_15] :
( ~ apart_point_and_line(Y_16,line_connecting(X_15,Y_16))
| ~ distinct_points(X_15,Y_16) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_4105,plain,
~ distinct_points('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_4098,c_16]) ).
tff(c_4111,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_529,c_4105]) ).
tff(c_4112,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_4096]) ).
tff(c_4120,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_4112,c_16]) ).
tff(c_4126,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_96,c_4120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO200+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % 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
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 4 00:18:33 EDT 2023
% 0.15/0.36 % CPUTime :
% 7.11/2.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.11/2.75
% 7.11/2.75 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.11/2.78
% 7.11/2.78 Inference rules
% 7.11/2.78 ----------------------
% 7.11/2.78 #Ref : 0
% 7.11/2.78 #Sup : 886
% 7.11/2.78 #Fact : 72
% 7.11/2.78 #Define : 0
% 7.11/2.78 #Split : 4
% 7.11/2.78 #Chain : 0
% 7.11/2.78 #Close : 0
% 7.11/2.78
% 7.11/2.78 Ordering : KBO
% 7.11/2.78
% 7.39/2.78 Simplification rules
% 7.39/2.78 ----------------------
% 7.39/2.78 #Subsume : 145
% 7.39/2.78 #Demod : 113
% 7.39/2.78 #Tautology : 122
% 7.39/2.78 #SimpNegUnit : 14
% 7.39/2.78 #BackRed : 0
% 7.39/2.78
% 7.39/2.78 #Partial instantiations: 0
% 7.39/2.78 #Strategies tried : 1
% 7.39/2.78
% 7.39/2.78 Timing (in seconds)
% 7.39/2.78 ----------------------
% 7.39/2.78 Preprocessing : 0.59
% 7.39/2.78 Parsing : 0.33
% 7.39/2.78 CNF conversion : 0.04
% 7.39/2.78 Main loop : 1.06
% 7.39/2.78 Inferencing : 0.39
% 7.39/2.78 Reduction : 0.28
% 7.39/2.78 Demodulation : 0.17
% 7.39/2.78 BG Simplification : 0.04
% 7.39/2.78 Subsumption : 0.27
% 7.39/2.78 Abstraction : 0.03
% 7.39/2.79 MUC search : 0.00
% 7.39/2.79 Cooper : 0.00
% 7.39/2.79 Total : 1.70
% 7.39/2.79 Index Insertion : 0.00
% 7.39/2.79 Index Deletion : 0.00
% 7.39/2.79 Index Matching : 0.00
% 7.39/2.79 BG Taut test : 0.00
%------------------------------------------------------------------------------