TSTP Solution File: GEO192+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO192+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 : n021.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 10:38:34 EDT 2023
% Result : Theorem 4.94s 2.30s
% Output : CNFRefutation 4.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 28
% Syntax : Number of formulae : 55 ( 15 unt; 19 typ; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 22 ~; 21 |; 1 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 44 (; 44 !; 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_61,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_437,negated_conjecture,
~ ! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( apart_point_and_line(intersection_point(X,Y),Z)
=> ( distinct_lines(X,Z)
& distinct_lines(Y,Z) ) ) ),
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_100,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci4) ).
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_132,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq3) ).
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_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(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_98,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_96,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_917,plain,
! [X_284,Z_285,Y_286] :
( apart_point_and_line(X_284,Z_285)
| distinct_lines(Y_286,Z_285)
| ~ apart_point_and_line(X_284,Y_286) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_925,plain,
! [Z_289] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_289)
| distinct_lines('#skF_3',Z_289) ),
inference(resolution,[status(thm)],[c_96,c_917]) ).
tff(c_20,plain,
! [X_19,Y_20] :
( ~ apart_point_and_line(intersection_point(X_19,Y_20),Y_20)
| ~ convergent_lines(X_19,Y_20) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_943,plain,
( ~ convergent_lines('#skF_1','#skF_2')
| distinct_lines('#skF_3','#skF_2') ),
inference(resolution,[status(thm)],[c_925,c_20]) ).
tff(c_960,plain,
distinct_lines('#skF_3','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_943]) ).
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_975,plain,
convergent_lines('#skF_3','#skF_2'),
inference(resolution,[status(thm)],[c_960,c_30]) ).
tff(c_28,plain,
! [X_31,Z_33,Y_32] :
( convergent_lines(X_31,Z_33)
| distinct_lines(Y_32,Z_33)
| ~ convergent_lines(X_31,Y_32) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_993,plain,
! [Z_292] :
( convergent_lines('#skF_3',Z_292)
| distinct_lines('#skF_2',Z_292) ),
inference(resolution,[status(thm)],[c_975,c_28]) ).
tff(c_94,plain,
( ~ distinct_lines('#skF_2','#skF_3')
| ~ distinct_lines('#skF_1','#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_106,plain,
~ distinct_lines('#skF_1','#skF_3'),
inference(splitLeft,[status(thm)],[c_94]) ).
tff(c_669,plain,
! [X_223,Z_224,Y_225] :
( apart_point_and_line(X_223,Z_224)
| distinct_lines(Y_225,Z_224)
| ~ apart_point_and_line(X_223,Y_225) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_683,plain,
! [Z_227] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_227)
| distinct_lines('#skF_3',Z_227) ),
inference(resolution,[status(thm)],[c_96,c_669]) ).
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_699,plain,
( ~ convergent_lines('#skF_1','#skF_2')
| distinct_lines('#skF_3','#skF_1') ),
inference(resolution,[status(thm)],[c_683,c_18]) ).
tff(c_718,plain,
distinct_lines('#skF_3','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_699]) ).
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_764,plain,
! [Z_229] :
( distinct_lines('#skF_1',Z_229)
| distinct_lines('#skF_3',Z_229) ),
inference(resolution,[status(thm)],[c_718,c_10]) ).
tff(c_4,plain,
! [X_2] : ~ distinct_lines(X_2,X_2),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_773,plain,
distinct_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_764,c_4]) ).
tff(c_779,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_773]) ).
tff(c_780,plain,
~ distinct_lines('#skF_2','#skF_3'),
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_999,plain,
convergent_lines('#skF_3','#skF_3'),
inference(resolution,[status(thm)],[c_993,c_780]) ).
tff(c_1008,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_999]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO192+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/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
% 0.13/0.34 % Computer : n021.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 00:49:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 4.94/2.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.94/2.30
% 4.94/2.30 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.94/2.33
% 4.94/2.33 Inference rules
% 4.94/2.33 ----------------------
% 4.94/2.33 #Ref : 0
% 4.94/2.33 #Sup : 181
% 4.94/2.33 #Fact : 6
% 4.94/2.33 #Define : 0
% 4.94/2.33 #Split : 1
% 4.94/2.33 #Chain : 0
% 4.94/2.33 #Close : 0
% 4.94/2.33
% 4.94/2.33 Ordering : KBO
% 4.94/2.33
% 4.94/2.33 Simplification rules
% 4.94/2.33 ----------------------
% 4.94/2.33 #Subsume : 15
% 4.94/2.33 #Demod : 36
% 4.94/2.33 #Tautology : 42
% 4.94/2.33 #SimpNegUnit : 2
% 4.94/2.33 #BackRed : 0
% 4.94/2.33
% 4.94/2.33 #Partial instantiations: 0
% 5.30/2.33 #Strategies tried : 1
% 5.30/2.33
% 5.30/2.33 Timing (in seconds)
% 5.30/2.33 ----------------------
% 5.30/2.34 Preprocessing : 0.59
% 5.30/2.34 Parsing : 0.33
% 5.30/2.34 CNF conversion : 0.04
% 5.30/2.34 Main loop : 0.59
% 5.30/2.34 Inferencing : 0.24
% 5.30/2.34 Reduction : 0.15
% 5.30/2.34 Demodulation : 0.09
% 5.30/2.34 BG Simplification : 0.04
% 5.30/2.34 Subsumption : 0.13
% 5.30/2.34 Abstraction : 0.02
% 5.30/2.34 MUC search : 0.00
% 5.30/2.34 Cooper : 0.00
% 5.30/2.34 Total : 1.23
% 5.30/2.34 Index Insertion : 0.00
% 5.30/2.34 Index Deletion : 0.00
% 5.30/2.34 Index Matching : 0.00
% 5.30/2.34 BG Taut test : 0.00
%------------------------------------------------------------------------------