TSTP Solution File: GEO198+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO198+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 : n025.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 10:38:36 EDT 2023
% Result : Theorem 13.28s 4.56s
% Output : CNFRefutation 13.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 31
% Syntax : Number of formulae : 64 ( 16 unt; 19 typ; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 86 ( 34 ~; 36 |; 8 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 94 (; 94 !; 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_292,axiom,
! [L,M] :
~ ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',coipo1) ).
tff(f_246,axiom,
! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc1) ).
tff(f_79,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_61,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_426,axiom,
! [X,Y] :
( orthogonal_lines(X,Y)
<=> ~ unorthogonal_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a5) ).
tff(f_242,axiom,
! [L,M,N] :
( ( convergent_lines(L,M)
& unorthogonal_lines(L,M) )
=> ( ( convergent_lines(L,N)
& unorthogonal_lines(L,N) )
| ( convergent_lines(M,N)
& unorthogonal_lines(M,N) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',oac1) ).
tff(f_421,axiom,
! [X,Y] :
( incident_point_and_line(X,Y)
<=> ~ apart_point_and_line(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a4) ).
tff(f_439,negated_conjecture,
~ ! [X,Y,Z] :
( ( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z)
& incident_point_and_line(intersection_point(X,Y),Z) )
=> incident_point_and_line(intersection_point(X,Z),Y) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO006+0.ax',ceq2) ).
tff(f_249,axiom,
! [A,L] : ~ apart_point_and_line(A,orthogonal_through_point(L,A)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc2) ).
tff(f_160,axiom,
! [X,Y] :
( distinct_lines(X,Y)
=> convergent_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax',p1) ).
tff(f_321,axiom,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',couo1) ).
tff(c_131,plain,
! [L_103,M_104] :
( unorthogonal_lines(L_103,M_104)
| convergent_lines(L_103,M_104) ),
inference(cnfTransformation,[status(thm)],[f_292]) ).
tff(c_48,plain,
! [L_49,A_48] : ~ unorthogonal_lines(orthogonal_through_point(L_49,A_48),L_49),
inference(cnfTransformation,[status(thm)],[f_246]) ).
tff(c_136,plain,
! [M_104,A_48] : convergent_lines(orthogonal_through_point(M_104,A_48),M_104),
inference(resolution,[status(thm)],[c_131,c_48]) ).
tff(c_189,plain,
! [Y_139,Z_140,X_141] :
( convergent_lines(Y_139,Z_140)
| convergent_lines(X_141,Z_140)
| ~ convergent_lines(X_141,Y_139) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_232,plain,
! [M_145,Z_146,A_147] :
( convergent_lines(M_145,Z_146)
| convergent_lines(orthogonal_through_point(M_145,A_147),Z_146) ),
inference(resolution,[status(thm)],[c_136,c_189]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_240,plain,
! [M_145,A_147] : convergent_lines(M_145,orthogonal_through_point(M_145,A_147)),
inference(resolution,[status(thm)],[c_232,c_6]) ).
tff(c_92,plain,
! [X_80,Y_81] :
( orthogonal_lines(X_80,Y_81)
| unorthogonal_lines(X_80,Y_81) ),
inference(cnfTransformation,[status(thm)],[f_426]) ).
tff(c_1368,plain,
! [L_276,N_277,M_278] :
( convergent_lines(L_276,N_277)
| unorthogonal_lines(M_278,N_277)
| ~ unorthogonal_lines(L_276,M_278)
| ~ convergent_lines(L_276,M_278) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_3629,plain,
! [X_405,N_406,Y_407] :
( convergent_lines(X_405,N_406)
| unorthogonal_lines(Y_407,N_406)
| ~ convergent_lines(X_405,Y_407)
| orthogonal_lines(X_405,Y_407) ),
inference(resolution,[status(thm)],[c_92,c_1368]) ).
tff(c_3960,plain,
! [Y_418,N_419] :
( unorthogonal_lines(Y_418,N_419)
| ~ convergent_lines(N_419,Y_418)
| orthogonal_lines(N_419,Y_418) ),
inference(resolution,[status(thm)],[c_3629,c_6]) ).
tff(c_3981,plain,
! [N_419,A_48] :
( ~ convergent_lines(N_419,orthogonal_through_point(N_419,A_48))
| orthogonal_lines(N_419,orthogonal_through_point(N_419,A_48)) ),
inference(resolution,[status(thm)],[c_3960,c_48]) ).
tff(c_3992,plain,
! [N_419,A_48] : orthogonal_lines(N_419,orthogonal_through_point(N_419,A_48)),
inference(demodulation,[status(thm),theory(equality)],[c_240,c_3981]) ).
tff(c_110,plain,
! [X_93,Y_94] :
( incident_point_and_line(X_93,Y_94)
| apart_point_and_line(X_93,Y_94) ),
inference(cnfTransformation,[status(thm)],[f_421]) ).
tff(c_94,plain,
~ incident_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_439]) ).
tff(c_114,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_2'),
inference(resolution,[status(thm)],[c_110,c_94]) ).
tff(c_255,plain,
! [X_153,Z_154,Y_155] :
( apart_point_and_line(X_153,Z_154)
| distinct_lines(Y_155,Z_154)
| ~ apart_point_and_line(X_153,Y_155) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_320,plain,
! [Z_162] :
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),Z_162)
| distinct_lines('#skF_2',Z_162) ),
inference(resolution,[status(thm)],[c_114,c_255]) ).
tff(c_50,plain,
! [A_50,L_51] : ~ apart_point_and_line(A_50,orthogonal_through_point(L_51,A_50)),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_412,plain,
! [L_169] : distinct_lines('#skF_2',orthogonal_through_point(L_169,intersection_point('#skF_1','#skF_3'))),
inference(resolution,[status(thm)],[c_320,c_50]) ).
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_416,plain,
! [L_169] : convergent_lines('#skF_2',orthogonal_through_point(L_169,intersection_point('#skF_1','#skF_3'))),
inference(resolution,[status(thm)],[c_412,c_30]) ).
tff(c_1556,plain,
! [L_294,N_295,M_296] :
( unorthogonal_lines(L_294,N_295)
| unorthogonal_lines(M_296,N_295)
| ~ unorthogonal_lines(L_294,M_296)
| ~ convergent_lines(L_294,M_296) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_4992,plain,
! [X_459,N_460,Y_461] :
( unorthogonal_lines(X_459,N_460)
| unorthogonal_lines(Y_461,N_460)
| ~ convergent_lines(X_459,Y_461)
| orthogonal_lines(X_459,Y_461) ),
inference(resolution,[status(thm)],[c_92,c_1556]) ).
tff(c_12804,plain,
! [X_740,N_741,A_742] :
( unorthogonal_lines(X_740,N_741)
| ~ convergent_lines(X_740,orthogonal_through_point(N_741,A_742))
| orthogonal_lines(X_740,orthogonal_through_point(N_741,A_742)) ),
inference(resolution,[status(thm)],[c_4992,c_48]) ).
tff(c_530,plain,
! [M_179,N_180,L_181] :
( ~ convergent_lines(M_179,N_180)
| unorthogonal_lines(L_181,N_180)
| unorthogonal_lines(L_181,M_179) ),
inference(cnfTransformation,[status(thm)],[f_321]) ).
tff(c_868,plain,
! [L_216,M_217,A_218] :
( unorthogonal_lines(L_216,M_217)
| unorthogonal_lines(L_216,orthogonal_through_point(M_217,A_218)) ),
inference(resolution,[status(thm)],[c_136,c_530]) ).
tff(c_90,plain,
! [X_80,Y_81] :
( ~ unorthogonal_lines(X_80,Y_81)
| ~ orthogonal_lines(X_80,Y_81) ),
inference(cnfTransformation,[status(thm)],[f_426]) ).
tff(c_876,plain,
! [L_216,M_217,A_218] :
( ~ orthogonal_lines(L_216,orthogonal_through_point(M_217,A_218))
| unorthogonal_lines(L_216,M_217) ),
inference(resolution,[status(thm)],[c_868,c_90]) ).
tff(c_13810,plain,
! [X_769,N_770,A_771] :
( unorthogonal_lines(X_769,N_770)
| ~ convergent_lines(X_769,orthogonal_through_point(N_770,A_771)) ),
inference(resolution,[status(thm)],[c_12804,c_876]) ).
tff(c_14236,plain,
! [L_772] : unorthogonal_lines('#skF_2',L_772),
inference(resolution,[status(thm)],[c_416,c_13810]) ).
tff(c_14265,plain,
! [L_773] : ~ orthogonal_lines('#skF_2',L_773),
inference(resolution,[status(thm)],[c_14236,c_90]) ).
tff(c_14307,plain,
$false,
inference(resolution,[status(thm)],[c_3992,c_14265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO198+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/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
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 4 00:38:50 EDT 2023
% 0.14/0.36 % CPUTime :
% 13.28/4.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.28/4.57
% 13.28/4.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.28/4.60
% 13.28/4.60 Inference rules
% 13.28/4.60 ----------------------
% 13.28/4.60 #Ref : 0
% 13.28/4.60 #Sup : 3255
% 13.28/4.60 #Fact : 124
% 13.28/4.60 #Define : 0
% 13.28/4.60 #Split : 3
% 13.28/4.60 #Chain : 0
% 13.28/4.60 #Close : 0
% 13.28/4.60
% 13.28/4.60 Ordering : KBO
% 13.28/4.60
% 13.28/4.60 Simplification rules
% 13.28/4.60 ----------------------
% 13.28/4.60 #Subsume : 347
% 13.28/4.60 #Demod : 502
% 13.28/4.60 #Tautology : 340
% 13.28/4.60 #SimpNegUnit : 21
% 13.28/4.60 #BackRed : 1
% 13.28/4.60
% 13.28/4.60 #Partial instantiations: 0
% 13.28/4.60 #Strategies tried : 1
% 13.28/4.60
% 13.28/4.60 Timing (in seconds)
% 13.28/4.60 ----------------------
% 13.28/4.60 Preprocessing : 0.55
% 13.28/4.60 Parsing : 0.31
% 13.28/4.60 CNF conversion : 0.04
% 13.28/4.60 Main loop : 2.97
% 13.28/4.60 Inferencing : 0.91
% 13.28/4.60 Reduction : 0.84
% 13.28/4.60 Demodulation : 0.57
% 13.28/4.60 BG Simplification : 0.06
% 13.28/4.60 Subsumption : 0.93
% 13.28/4.60 Abstraction : 0.06
% 13.28/4.60 MUC search : 0.00
% 13.28/4.60 Cooper : 0.00
% 13.28/4.60 Total : 3.58
% 13.28/4.60 Index Insertion : 0.00
% 13.28/4.61 Index Deletion : 0.00
% 13.28/4.61 Index Matching : 0.00
% 13.28/4.61 BG Taut test : 0.00
%------------------------------------------------------------------------------