TSTP Solution File: GEO174+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO174+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/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 : n001.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 10:38:25 EDT 2023
% Result : Theorem 3.44s 2.00s
% Output : CNFRefutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 34 ( 12 unt; 10 typ; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 34 ( 12 ~; 15 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 26 (; 26 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > 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(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('#skF_4',type,
'#skF_4': $i ).
tff(f_58,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(f_142,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(X,U)
| apart_point_and_line(Y,U) ) )
=> distinct_lines(U,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_125,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq2) ).
tff(f_91,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( apart_point_and_line(Z,line_connecting(X,Y))
=> ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con1) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_36,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_32,plain,
( apart_point_and_line('#skF_2','#skF_3')
| apart_point_and_line('#skF_1','#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_40,plain,
apart_point_and_line('#skF_1','#skF_3'),
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_86,plain,
! [X_47,Z_48,Y_49] :
( apart_point_and_line(X_47,Z_48)
| distinct_lines(Y_49,Z_48)
| ~ apart_point_and_line(X_47,Y_49) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_96,plain,
! [Z_50] :
( apart_point_and_line('#skF_1',Z_50)
| distinct_lines('#skF_3',Z_50) ),
inference(resolution,[status(thm)],[c_40,c_86]) ).
tff(c_30,plain,
~ distinct_lines('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_107,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_96,c_30]) ).
tff(c_157,plain,
! [Z_58,X_59,Y_60] :
( distinct_points(Z_58,X_59)
| ~ apart_point_and_line(Z_58,line_connecting(X_59,Y_60))
| ~ distinct_points(X_59,Y_60) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_163,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_107,c_157]) ).
tff(c_169,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_163]) ).
tff(c_171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_169]) ).
tff(c_172,plain,
apart_point_and_line('#skF_2','#skF_3'),
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_219,plain,
! [X_74,Z_75,Y_76] :
( apart_point_and_line(X_74,Z_75)
| distinct_lines(Y_76,Z_75)
| ~ apart_point_and_line(X_74,Y_76) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_229,plain,
! [Z_77] :
( apart_point_and_line('#skF_2',Z_77)
| distinct_lines('#skF_3',Z_77) ),
inference(resolution,[status(thm)],[c_172,c_219]) ).
tff(c_240,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_229,c_30]) ).
tff(c_366,plain,
! [Z_94,Y_95,X_96] :
( distinct_points(Z_94,Y_95)
| ~ apart_point_and_line(Z_94,line_connecting(X_96,Y_95))
| ~ distinct_points(X_96,Y_95) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_372,plain,
( distinct_points('#skF_2','#skF_2')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_240,c_366]) ).
tff(c_378,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_372]) ).
tff(c_380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_378]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO174+2 : TPTP v8.1.2. Released v3.3.0.
% 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
% 0.13/0.35 % Computer : n001.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 01:14:56 EDT 2023
% 0.13/0.36 % CPUTime :
% 3.44/2.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.44/2.01
% 3.44/2.01 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.44/2.03
% 3.44/2.03 Inference rules
% 3.44/2.03 ----------------------
% 3.44/2.03 #Ref : 0
% 3.44/2.03 #Sup : 76
% 3.44/2.03 #Fact : 0
% 3.44/2.03 #Define : 0
% 3.44/2.03 #Split : 1
% 3.44/2.03 #Chain : 0
% 3.44/2.03 #Close : 0
% 3.44/2.03
% 3.44/2.03 Ordering : KBO
% 3.44/2.03
% 3.44/2.03 Simplification rules
% 3.44/2.03 ----------------------
% 3.44/2.03 #Subsume : 8
% 3.44/2.03 #Demod : 18
% 3.44/2.03 #Tautology : 12
% 3.44/2.03 #SimpNegUnit : 2
% 3.44/2.03 #BackRed : 0
% 3.44/2.03
% 3.44/2.03 #Partial instantiations: 0
% 3.44/2.03 #Strategies tried : 1
% 3.44/2.03
% 3.44/2.03 Timing (in seconds)
% 3.44/2.03 ----------------------
% 3.44/2.04 Preprocessing : 0.46
% 3.44/2.04 Parsing : 0.26
% 3.44/2.04 CNF conversion : 0.03
% 3.44/2.04 Main loop : 0.38
% 3.44/2.04 Inferencing : 0.16
% 3.44/2.04 Reduction : 0.09
% 3.44/2.04 Demodulation : 0.06
% 3.44/2.04 BG Simplification : 0.02
% 3.44/2.04 Subsumption : 0.08
% 3.44/2.04 Abstraction : 0.01
% 3.44/2.04 MUC search : 0.00
% 3.44/2.04 Cooper : 0.00
% 3.44/2.04 Total : 0.89
% 3.44/2.04 Index Insertion : 0.00
% 3.44/2.04 Index Deletion : 0.00
% 3.44/2.04 Index Matching : 0.00
% 3.44/2.04 BG Taut test : 0.00
%------------------------------------------------------------------------------