TSTP Solution File: GEO195+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO195+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 : n004.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 10:38:35 EDT 2023
% Result : Theorem 13.93s 4.83s
% Output : CNFRefutation 14.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 31
% Syntax : Number of formulae : 62 ( 15 unt; 19 typ; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 93 ( 38 ~; 38 |; 8 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 93 (; 93 !; 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_311,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+4.ax',cotno1) ).
tff(f_439,negated_conjecture,
~ ! [X,Y,Z] :
( ( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z) )
=> ( apart_point_and_line(intersection_point(X,Y),Z)
=> apart_point_and_line(intersection_point(Y,X),Z) ) ),
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_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_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_123,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_128,plain,
! [M_104,A_48] : convergent_lines(orthogonal_through_point(M_104,A_48),M_104),
inference(resolution,[status(thm)],[c_123,c_48]) ).
tff(c_181,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_293,plain,
! [M_149,Z_150,A_151] :
( convergent_lines(M_149,Z_150)
| convergent_lines(orthogonal_through_point(M_149,A_151),Z_150) ),
inference(resolution,[status(thm)],[c_128,c_181]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_301,plain,
! [M_149,A_151] : convergent_lines(M_149,orthogonal_through_point(M_149,A_151)),
inference(resolution,[status(thm)],[c_293,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_1849,plain,
! [L_321,M_322,N_323] :
( unorthogonal_lines(L_321,M_322)
| convergent_lines(L_321,N_323)
| ~ unorthogonal_lines(M_322,N_323)
| ~ convergent_lines(M_322,N_323) ),
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_3156,plain,
! [L_394,X_395,Y_396] :
( unorthogonal_lines(L_394,X_395)
| convergent_lines(L_394,Y_396)
| ~ convergent_lines(X_395,Y_396)
| orthogonal_lines(X_395,Y_396) ),
inference(resolution,[status(thm)],[c_92,c_1849]) ).
tff(c_3825,plain,
! [Y_418,X_419] :
( unorthogonal_lines(Y_418,X_419)
| ~ convergent_lines(X_419,Y_418)
| orthogonal_lines(X_419,Y_418) ),
inference(resolution,[status(thm)],[c_3156,c_6]) ).
tff(c_3846,plain,
! [X_419,A_48] :
( ~ convergent_lines(X_419,orthogonal_through_point(X_419,A_48))
| orthogonal_lines(X_419,orthogonal_through_point(X_419,A_48)) ),
inference(resolution,[status(thm)],[c_3825,c_48]) ).
tff(c_3857,plain,
! [X_419,A_48] : orthogonal_lines(X_419,orthogonal_through_point(X_419,A_48)),
inference(demodulation,[status(thm),theory(equality)],[c_301,c_3846]) ).
tff(c_96,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_439]) ).
tff(c_337,plain,
! [X_164,Z_165,Y_166] :
( apart_point_and_line(X_164,Z_165)
| distinct_lines(Y_166,Z_165)
| ~ apart_point_and_line(X_164,Y_166) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_341,plain,
! [Z_167] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_167)
| distinct_lines('#skF_3',Z_167) ),
inference(resolution,[status(thm)],[c_96,c_337]) ).
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_477,plain,
! [L_176] : distinct_lines('#skF_3',orthogonal_through_point(L_176,intersection_point('#skF_1','#skF_2'))),
inference(resolution,[status(thm)],[c_341,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_484,plain,
! [L_176] : convergent_lines('#skF_3',orthogonal_through_point(L_176,intersection_point('#skF_1','#skF_2'))),
inference(resolution,[status(thm)],[c_477,c_30]) ).
tff(c_1567,plain,
! [L_303,N_304,M_305] :
( unorthogonal_lines(L_303,N_304)
| unorthogonal_lines(M_305,N_304)
| ~ unorthogonal_lines(L_303,M_305)
| ~ convergent_lines(L_303,M_305) ),
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_5336,plain,
! [X_470,N_471,Y_472] :
( unorthogonal_lines(X_470,N_471)
| unorthogonal_lines(Y_472,N_471)
| ~ convergent_lines(X_470,Y_472)
| orthogonal_lines(X_470,Y_472) ),
inference(resolution,[status(thm)],[c_92,c_1567]) ).
tff(c_12178,plain,
! [X_777,N_778,A_779] :
( unorthogonal_lines(X_777,N_778)
| ~ convergent_lines(X_777,orthogonal_through_point(N_778,A_779))
| orthogonal_lines(X_777,orthogonal_through_point(N_778,A_779)) ),
inference(resolution,[status(thm)],[c_5336,c_48]) ).
tff(c_557,plain,
! [M_182,N_183,L_184] :
( ~ convergent_lines(M_182,N_183)
| unorthogonal_lines(L_184,N_183)
| unorthogonal_lines(L_184,M_182) ),
inference(cnfTransformation,[status(thm)],[f_321]) ).
tff(c_801,plain,
! [L_217,M_218,A_219] :
( unorthogonal_lines(L_217,M_218)
| unorthogonal_lines(L_217,orthogonal_through_point(M_218,A_219)) ),
inference(resolution,[status(thm)],[c_128,c_557]) ).
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_809,plain,
! [L_217,M_218,A_219] :
( ~ orthogonal_lines(L_217,orthogonal_through_point(M_218,A_219))
| unorthogonal_lines(L_217,M_218) ),
inference(resolution,[status(thm)],[c_801,c_90]) ).
tff(c_13095,plain,
! [X_796,N_797,A_798] :
( unorthogonal_lines(X_796,N_797)
| ~ convergent_lines(X_796,orthogonal_through_point(N_797,A_798)) ),
inference(resolution,[status(thm)],[c_12178,c_809]) ).
tff(c_13529,plain,
! [L_799] : unorthogonal_lines('#skF_3',L_799),
inference(resolution,[status(thm)],[c_484,c_13095]) ).
tff(c_13557,plain,
! [L_800] : ~ orthogonal_lines('#skF_3',L_800),
inference(resolution,[status(thm)],[c_13529,c_90]) ).
tff(c_13597,plain,
$false,
inference(resolution,[status(thm)],[c_3857,c_13557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO195+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
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 4 00:25:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 13.93/4.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.93/4.84
% 13.93/4.84 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.28/4.87
% 14.28/4.87 Inference rules
% 14.28/4.87 ----------------------
% 14.28/4.87 #Ref : 0
% 14.28/4.87 #Sup : 3114
% 14.28/4.87 #Fact : 90
% 14.28/4.87 #Define : 0
% 14.28/4.87 #Split : 4
% 14.28/4.87 #Chain : 0
% 14.28/4.87 #Close : 0
% 14.28/4.87
% 14.28/4.87 Ordering : KBO
% 14.28/4.87
% 14.28/4.87 Simplification rules
% 14.28/4.87 ----------------------
% 14.28/4.87 #Subsume : 298
% 14.28/4.87 #Demod : 501
% 14.28/4.87 #Tautology : 284
% 14.28/4.87 #SimpNegUnit : 13
% 14.28/4.87 #BackRed : 0
% 14.28/4.87
% 14.28/4.87 #Partial instantiations: 0
% 14.28/4.87 #Strategies tried : 1
% 14.28/4.87
% 14.28/4.87 Timing (in seconds)
% 14.28/4.87 ----------------------
% 14.28/4.87 Preprocessing : 0.59
% 14.28/4.87 Parsing : 0.33
% 14.28/4.87 CNF conversion : 0.04
% 14.28/4.87 Main loop : 3.16
% 14.28/4.87 Inferencing : 0.96
% 14.28/4.87 Reduction : 0.90
% 14.28/4.87 Demodulation : 0.62
% 14.28/4.87 BG Simplification : 0.06
% 14.28/4.87 Subsumption : 0.98
% 14.28/4.87 Abstraction : 0.06
% 14.28/4.87 MUC search : 0.00
% 14.28/4.87 Cooper : 0.00
% 14.28/4.87 Total : 3.80
% 14.28/4.87 Index Insertion : 0.00
% 14.28/4.87 Index Deletion : 0.00
% 14.28/4.87 Index Matching : 0.00
% 14.28/4.87 BG Taut test : 0.00
%------------------------------------------------------------------------------