TSTP Solution File: GEO178+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO178+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 : n006.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 10:38:27 EDT 2023
% Result : Theorem 4.11s 2.01s
% Output : CNFRefutation 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 26
% Syntax : Number of formulae : 39 ( 9 unt; 19 typ; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 10 ~; 12 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 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 : 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
%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_437,negated_conjecture,
~ ! [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/theBenchmark.p',con) ).
tff(f_126,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/GEO006+0.ax',ceq2) ).
tff(f_160,axiom,
! [X,Y] :
( distinct_lines(X,Y)
=> convergent_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax',p1) ).
tff(f_79,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).
tff(f_61,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_188,axiom,
! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp1) ).
tff(f_191,axiom,
! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp2) ).
tff(c_96,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_471,plain,
! [X_236,Z_237,Y_238] :
( apart_point_and_line(X_236,Z_237)
| distinct_lines(Y_238,Z_237)
| ~ apart_point_and_line(X_236,Y_238) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_476,plain,
! [Z_242] :
( apart_point_and_line('#skF_3',Z_242)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_242) ),
inference(resolution,[status(thm)],[c_96,c_471]) ).
tff(c_30,plain,
! [X_34,Y_35] :
( convergent_lines(X_34,Y_35)
| ~ distinct_lines(X_34,Y_35) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_484,plain,
! [Z_242] :
( convergent_lines(line_connecting('#skF_1','#skF_2'),Z_242)
| apart_point_and_line('#skF_3',Z_242) ),
inference(resolution,[status(thm)],[c_476,c_30]) ).
tff(c_511,plain,
! [Y_250,Z_251,X_252] :
( convergent_lines(Y_250,Z_251)
| convergent_lines(X_252,Z_251)
| ~ convergent_lines(X_252,Y_250) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_564,plain,
! [Z_260,Z_261] :
( convergent_lines(Z_260,Z_261)
| convergent_lines(line_connecting('#skF_1','#skF_2'),Z_261)
| apart_point_and_line('#skF_3',Z_260) ),
inference(resolution,[status(thm)],[c_484,c_511]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_614,plain,
! [Z_265] :
( convergent_lines(Z_265,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_3',Z_265) ),
inference(resolution,[status(thm)],[c_564,c_6]) ).
tff(c_32,plain,
! [Y_37,X_36] : ~ convergent_lines(parallel_through_point(Y_37,X_36),Y_37),
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_635,plain,
! [X_266] : apart_point_and_line('#skF_3',parallel_through_point(line_connecting('#skF_1','#skF_2'),X_266)),
inference(resolution,[status(thm)],[c_614,c_32]) ).
tff(c_34,plain,
! [X_38,Y_39] : ~ apart_point_and_line(X_38,parallel_through_point(Y_39,X_38)),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_643,plain,
$false,
inference(resolution,[status(thm)],[c_635,c_34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO178+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
% 0.16/0.35 % Computer : n006.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Fri Aug 4 00:16:58 EDT 2023
% 0.16/0.35 % CPUTime :
% 4.11/2.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.11/2.01
% 4.11/2.01 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.11/2.04
% 4.11/2.04 Inference rules
% 4.11/2.04 ----------------------
% 4.11/2.04 #Ref : 0
% 4.11/2.04 #Sup : 103
% 4.11/2.04 #Fact : 4
% 4.11/2.04 #Define : 0
% 4.11/2.04 #Split : 1
% 4.11/2.04 #Chain : 0
% 4.11/2.04 #Close : 0
% 4.11/2.04
% 4.11/2.04 Ordering : KBO
% 4.11/2.04
% 4.11/2.04 Simplification rules
% 4.11/2.04 ----------------------
% 4.11/2.04 #Subsume : 7
% 4.11/2.04 #Demod : 21
% 4.11/2.04 #Tautology : 29
% 4.11/2.04 #SimpNegUnit : 1
% 4.11/2.04 #BackRed : 0
% 4.11/2.04
% 4.11/2.04 #Partial instantiations: 0
% 4.11/2.04 #Strategies tried : 1
% 4.11/2.04
% 4.11/2.04 Timing (in seconds)
% 4.11/2.04 ----------------------
% 4.11/2.04 Preprocessing : 0.54
% 4.11/2.04 Parsing : 0.30
% 4.11/2.04 CNF conversion : 0.04
% 4.11/2.04 Main loop : 0.46
% 4.11/2.04 Inferencing : 0.18
% 4.11/2.04 Reduction : 0.11
% 4.11/2.04 Demodulation : 0.07
% 4.11/2.04 BG Simplification : 0.03
% 4.11/2.04 Subsumption : 0.11
% 4.11/2.04 Abstraction : 0.01
% 4.11/2.04 MUC search : 0.00
% 4.11/2.04 Cooper : 0.00
% 4.11/2.04 Total : 1.04
% 4.11/2.04 Index Insertion : 0.00
% 4.11/2.04 Index Deletion : 0.00
% 4.11/2.04 Index Matching : 0.00
% 4.11/2.04 BG Taut test : 0.00
%------------------------------------------------------------------------------