TSTP Solution File: GEO176+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO176+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 : n031.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 10:38:26 EDT 2023
% Result : Theorem 4.54s 2.08s
% Output : CNFRefutation 4.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 29
% Syntax : Number of formulae : 52 ( 15 unt; 20 typ; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 43 ( 16 ~; 19 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 47 (; 47 !; 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_439,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(X,U)
| apart_point_and_line(X,V) ) )
=> distinct_points(X,intersection_point(U,V)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_120,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_95,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_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_73,axiom,
! [X,Y,Z] :
( distinct_lines(X,Y)
=> ( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart5) ).
tff(f_58,axiom,
! [X] : ~ distinct_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart2) ).
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_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_98,plain,
convergent_lines('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_439]) ).
tff(c_96,plain,
( apart_point_and_line('#skF_1','#skF_4')
| apart_point_and_line('#skF_1','#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_439]) ).
tff(c_107,plain,
apart_point_and_line('#skF_1','#skF_3'),
inference(splitLeft,[status(thm)],[c_96]) ).
tff(c_239,plain,
! [Z_157,Y_158,X_159] :
( apart_point_and_line(Z_157,Y_158)
| distinct_points(X_159,Z_157)
| ~ apart_point_and_line(X_159,Y_158) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_243,plain,
! [Z_160] :
( apart_point_and_line(Z_160,'#skF_3')
| distinct_points('#skF_1',Z_160) ),
inference(resolution,[status(thm)],[c_107,c_239]) ).
tff(c_94,plain,
~ distinct_points('#skF_1',intersection_point('#skF_3','#skF_4')),
inference(cnfTransformation,[status(thm)],[f_439]) ).
tff(c_254,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_3'),
inference(resolution,[status(thm)],[c_243,c_94]) ).
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_95]) ).
tff(c_261,plain,
~ convergent_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_254,c_18]) ).
tff(c_266,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_261]) ).
tff(c_267,plain,
apart_point_and_line('#skF_1','#skF_4'),
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_719,plain,
! [X_269,Z_270,Y_271] :
( apart_point_and_line(X_269,Z_270)
| distinct_lines(Y_271,Z_270)
| ~ apart_point_and_line(X_269,Y_271) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_723,plain,
! [Z_272] :
( apart_point_and_line('#skF_1',Z_272)
| distinct_lines('#skF_4',Z_272) ),
inference(resolution,[status(thm)],[c_267,c_719]) ).
tff(c_10,plain,
! [Y_8,Z_9,X_7] :
( distinct_lines(Y_8,Z_9)
| distinct_lines(X_7,Z_9)
| ~ distinct_lines(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_783,plain,
! [Z_277,Z_278] :
( distinct_lines(Z_277,Z_278)
| distinct_lines('#skF_4',Z_278)
| apart_point_and_line('#skF_1',Z_277) ),
inference(resolution,[status(thm)],[c_723,c_10]) ).
tff(c_4,plain,
! [X_2] : ~ distinct_lines(X_2,X_2),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_808,plain,
! [Z_279] :
( distinct_lines(Z_279,'#skF_4')
| apart_point_and_line('#skF_1',Z_279) ),
inference(resolution,[status(thm)],[c_783,c_4]) ).
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_822,plain,
! [Z_280] :
( convergent_lines(Z_280,'#skF_4')
| apart_point_and_line('#skF_1',Z_280) ),
inference(resolution,[status(thm)],[c_808,c_30]) ).
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_843,plain,
! [X_281] : apart_point_and_line('#skF_1',parallel_through_point('#skF_4',X_281)),
inference(resolution,[status(thm)],[c_822,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_851,plain,
$false,
inference(resolution,[status(thm)],[c_843,c_34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO176+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % 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
% 0.13/0.36 % Computer : n031.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri Aug 4 00:39:45 EDT 2023
% 0.13/0.36 % CPUTime :
% 4.54/2.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.54/2.09
% 4.54/2.09 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.54/2.11
% 4.54/2.11 Inference rules
% 4.54/2.11 ----------------------
% 4.54/2.11 #Ref : 0
% 4.54/2.11 #Sup : 147
% 4.54/2.11 #Fact : 6
% 4.54/2.11 #Define : 0
% 4.54/2.11 #Split : 1
% 4.54/2.11 #Chain : 0
% 4.54/2.11 #Close : 0
% 4.54/2.11
% 4.54/2.11 Ordering : KBO
% 4.54/2.11
% 4.54/2.11 Simplification rules
% 4.54/2.11 ----------------------
% 4.54/2.11 #Subsume : 17
% 4.54/2.11 #Demod : 27
% 4.54/2.11 #Tautology : 36
% 4.54/2.11 #SimpNegUnit : 0
% 4.54/2.11 #BackRed : 0
% 4.54/2.11
% 4.54/2.11 #Partial instantiations: 0
% 4.54/2.11 #Strategies tried : 1
% 4.54/2.11
% 4.54/2.11 Timing (in seconds)
% 4.54/2.11 ----------------------
% 4.54/2.12 Preprocessing : 0.56
% 4.54/2.12 Parsing : 0.31
% 4.54/2.12 CNF conversion : 0.04
% 4.54/2.12 Main loop : 0.50
% 4.54/2.12 Inferencing : 0.21
% 4.54/2.12 Reduction : 0.12
% 4.54/2.12 Demodulation : 0.08
% 4.54/2.12 BG Simplification : 0.03
% 4.54/2.12 Subsumption : 0.10
% 4.54/2.12 Abstraction : 0.02
% 4.54/2.12 MUC search : 0.00
% 4.54/2.12 Cooper : 0.00
% 4.54/2.12 Total : 1.10
% 4.54/2.12 Index Insertion : 0.00
% 4.54/2.12 Index Deletion : 0.00
% 4.54/2.12 Index Matching : 0.00
% 4.54/2.12 BG Taut test : 0.00
%------------------------------------------------------------------------------