TSTP Solution File: GEO217+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO217+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/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 : n008.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 10:38:43 EDT 2023
% Result : Theorem 5.50s 2.23s
% Output : CNFRefutation 5.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 23
% Syntax : Number of formulae : 41 ( 10 unt; 19 typ; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 11 ~; 14 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 27 (; 27 !; 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
%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(orthogonal_lines,type,
orthogonal_lines: ( $i * $i ) > $o ).
tff(f_434,negated_conjecture,
~ ! [L,M,N] :
( ( parallel_lines(L,M)
& parallel_lines(L,N) )
=> parallel_lines(M,N) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_415,axiom,
! [X,Y] :
( parallel_lines(X,Y)
<=> ~ convergent_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a3) ).
tff(f_78,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).
tff(f_60,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(c_96,plain,
parallel_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_434]) ).
tff(c_119,plain,
! [X_101,Y_102] :
( ~ convergent_lines(X_101,Y_102)
| ~ parallel_lines(X_101,Y_102) ),
inference(cnfTransformation,[status(thm)],[f_415]) ).
tff(c_130,plain,
~ convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_96,c_119]) ).
tff(c_113,plain,
! [X_97,Y_98] :
( parallel_lines(X_97,Y_98)
| convergent_lines(X_97,Y_98) ),
inference(cnfTransformation,[status(thm)],[f_415]) ).
tff(c_94,plain,
~ parallel_lines('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_434]) ).
tff(c_117,plain,
convergent_lines('#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_113,c_94]) ).
tff(c_185,plain,
! [Y_138,Z_139,X_140] :
( convergent_lines(Y_138,Z_139)
| convergent_lines(X_140,Z_139)
| ~ convergent_lines(X_140,Y_138) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_208,plain,
! [Z_144] :
( convergent_lines('#skF_3',Z_144)
| convergent_lines('#skF_2',Z_144) ),
inference(resolution,[status(thm)],[c_117,c_185]) ).
tff(c_12,plain,
! [Y_11,Z_12,X_10] :
( convergent_lines(Y_11,Z_12)
| convergent_lines(X_10,Z_12)
| ~ convergent_lines(X_10,Y_11) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_418,plain,
! [Z_186,Z_187] :
( convergent_lines(Z_186,Z_187)
| convergent_lines('#skF_2',Z_187)
| convergent_lines('#skF_3',Z_186) ),
inference(resolution,[status(thm)],[c_208,c_12]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_465,plain,
! [Z_188] :
( convergent_lines(Z_188,'#skF_2')
| convergent_lines('#skF_3',Z_188) ),
inference(resolution,[status(thm)],[c_418,c_6]) ).
tff(c_1651,plain,
! [Z_300,Z_301] :
( convergent_lines(Z_300,Z_301)
| convergent_lines('#skF_3',Z_301)
| convergent_lines(Z_300,'#skF_2') ),
inference(resolution,[status(thm)],[c_465,c_12]) ).
tff(c_1753,plain,
! [Z_304] :
( convergent_lines(Z_304,'#skF_3')
| convergent_lines(Z_304,'#skF_2') ),
inference(resolution,[status(thm)],[c_1651,c_6]) ).
tff(c_98,plain,
parallel_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_434]) ).
tff(c_131,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_98,c_119]) ).
tff(c_1762,plain,
convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_1753,c_131]) ).
tff(c_1777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130,c_1762]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO217+3 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.13/0.34 % Computer : n008.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 00:37:18 EDT 2023
% 0.13/0.34 % CPUTime :
% 5.50/2.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.50/2.24
% 5.50/2.24 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.50/2.26
% 5.50/2.26 Inference rules
% 5.50/2.26 ----------------------
% 5.50/2.26 #Ref : 0
% 5.50/2.26 #Sup : 313
% 5.50/2.26 #Fact : 40
% 5.50/2.26 #Define : 0
% 5.50/2.26 #Split : 0
% 5.50/2.26 #Chain : 0
% 5.50/2.26 #Close : 0
% 5.50/2.26
% 5.50/2.26 Ordering : KBO
% 5.50/2.26
% 5.50/2.26 Simplification rules
% 5.50/2.26 ----------------------
% 5.50/2.26 #Subsume : 66
% 5.50/2.26 #Demod : 63
% 5.50/2.26 #Tautology : 69
% 5.50/2.26 #SimpNegUnit : 11
% 5.50/2.26 #BackRed : 0
% 5.50/2.26
% 5.50/2.26 #Partial instantiations: 0
% 5.50/2.26 #Strategies tried : 1
% 5.50/2.26
% 5.50/2.26 Timing (in seconds)
% 5.50/2.26 ----------------------
% 5.50/2.27 Preprocessing : 0.56
% 5.50/2.27 Parsing : 0.31
% 5.50/2.27 CNF conversion : 0.04
% 5.50/2.27 Main loop : 0.70
% 5.50/2.27 Inferencing : 0.28
% 5.50/2.27 Reduction : 0.17
% 5.50/2.27 Demodulation : 0.11
% 5.50/2.27 BG Simplification : 0.04
% 5.50/2.27 Subsumption : 0.17
% 5.50/2.27 Abstraction : 0.02
% 5.50/2.27 MUC search : 0.00
% 5.50/2.27 Cooper : 0.00
% 5.50/2.27 Total : 1.31
% 5.50/2.27 Index Insertion : 0.00
% 5.50/2.27 Index Deletion : 0.00
% 5.50/2.27 Index Matching : 0.00
% 5.50/2.27 BG Taut test : 0.00
%------------------------------------------------------------------------------