TSTP Solution File: GEO204+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO204+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 : n008.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 10:38:39 EDT 2023
% Result : Theorem 7.78s 2.90s
% Output : CNFRefutation 7.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 27
% Syntax : Number of formulae : 65 ( 22 unt; 19 typ; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 72 ( 28 ~; 33 |; 3 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 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 : 45 (; 45 !; 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)
& equal_points(Y,Z) )
=> ( distinct_points(X,Z)
& equal_lines(line_connecting(X,Y),line_connecting(X,Z)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_67,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart4) ).
tff(f_406,axiom,
! [X,Y] :
( equal_points(X,Y)
<=> ~ distinct_points(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax1) ).
tff(f_411,axiom,
! [X,Y] :
( equal_lines(X,Y)
<=> ~ distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax2) ).
tff(f_113,axiom,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_lines(U,V) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).
tff(f_85,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci1) ).
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/sandbox/benchmark/Axioms/GEO006+0.ax',ceq1) ).
tff(f_90,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci2) ).
tff(c_98,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_94,plain,
( ~ equal_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3'))
| ~ distinct_points('#skF_1','#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_106,plain,
~ distinct_points('#skF_1','#skF_3'),
inference(splitLeft,[status(thm)],[c_94]) ).
tff(c_172,plain,
! [Y_138,Z_139,X_140] :
( distinct_points(Y_138,Z_139)
| distinct_points(X_140,Z_139)
| ~ distinct_points(X_140,Y_138) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_180,plain,
! [Z_144] :
( distinct_points('#skF_2',Z_144)
| distinct_points('#skF_1',Z_144) ),
inference(resolution,[status(thm)],[c_98,c_172]) ).
tff(c_96,plain,
equal_points('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_150,plain,
! [X_119,Y_120] :
( ~ distinct_points(X_119,Y_120)
| ~ equal_points(X_119,Y_120) ),
inference(cnfTransformation,[status(thm)],[f_406]) ).
tff(c_158,plain,
~ distinct_points('#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_96,c_150]) ).
tff(c_185,plain,
distinct_points('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_180,c_158]) ).
tff(c_194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_185]) ).
tff(c_196,plain,
distinct_points('#skF_1','#skF_3'),
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_247,plain,
! [X_169,Y_170] :
( ~ distinct_points(X_169,Y_170)
| ~ equal_points(X_169,Y_170) ),
inference(cnfTransformation,[status(thm)],[f_406]) ).
tff(c_251,plain,
~ distinct_points('#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_96,c_247]) ).
tff(c_204,plain,
! [X_149,Y_150] :
( equal_lines(X_149,Y_150)
| distinct_lines(X_149,Y_150) ),
inference(cnfTransformation,[status(thm)],[f_411]) ).
tff(c_195,plain,
~ equal_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_208,plain,
distinct_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),
inference(resolution,[status(thm)],[c_204,c_195]) ).
tff(c_3395,plain,
! [Y_492,V_493,U_494,X_495] :
( apart_point_and_line(Y_492,V_493)
| apart_point_and_line(Y_492,U_494)
| apart_point_and_line(X_495,V_493)
| apart_point_and_line(X_495,U_494)
| ~ distinct_lines(U_494,V_493)
| ~ distinct_points(X_495,Y_492) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_3590,plain,
! [Y_504,X_505] :
( apart_point_and_line(Y_504,line_connecting('#skF_1','#skF_3'))
| apart_point_and_line(Y_504,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_505,line_connecting('#skF_1','#skF_3'))
| apart_point_and_line(X_505,line_connecting('#skF_1','#skF_2'))
| ~ distinct_points(X_505,Y_504) ),
inference(resolution,[status(thm)],[c_208,c_3395]) ).
tff(c_3821,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_98,c_3590]) ).
tff(c_4124,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_3821]) ).
tff(c_14,plain,
! [X_13,Y_14] :
( ~ apart_point_and_line(X_13,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_4131,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_4124,c_14]) ).
tff(c_4137,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_4131]) ).
tff(c_4138,plain,
( apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_3')) ),
inference(splitRight,[status(thm)],[c_3821]) ).
tff(c_4680,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_4138]) ).
tff(c_24,plain,
! [Z_27,Y_26,X_25] :
( apart_point_and_line(Z_27,Y_26)
| distinct_points(X_25,Z_27)
| ~ apart_point_and_line(X_25,Y_26) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_4687,plain,
! [Z_565] :
( apart_point_and_line(Z_565,line_connecting('#skF_1','#skF_3'))
| distinct_points('#skF_2',Z_565) ),
inference(resolution,[status(thm)],[c_4680,c_24]) ).
tff(c_16,plain,
! [Y_16,X_15] :
( ~ apart_point_and_line(Y_16,line_connecting(X_15,Y_16))
| ~ distinct_points(X_15,Y_16) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_4703,plain,
( ~ distinct_points('#skF_1','#skF_3')
| distinct_points('#skF_2','#skF_3') ),
inference(resolution,[status(thm)],[c_4687,c_16]) ).
tff(c_4716,plain,
distinct_points('#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_196,c_4703]) ).
tff(c_4718,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_251,c_4716]) ).
tff(c_4719,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')) ),
inference(splitRight,[status(thm)],[c_4138]) ).
tff(c_4721,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_4719]) ).
tff(c_4728,plain,
~ distinct_points('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_4721,c_14]) ).
tff(c_4734,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196,c_4728]) ).
tff(c_4735,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_4719]) ).
tff(c_4885,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_4735,c_16]) ).
tff(c_4891,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_4885]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO204+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
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 00:44:33 EDT 2023
% 0.14/0.36 % CPUTime :
% 7.78/2.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.78/2.90
% 7.78/2.90 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.78/2.94
% 7.78/2.94 Inference rules
% 7.78/2.94 ----------------------
% 7.78/2.94 #Ref : 0
% 7.78/2.94 #Sup : 947
% 7.78/2.94 #Fact : 128
% 7.78/2.94 #Define : 0
% 7.78/2.94 #Split : 5
% 7.78/2.94 #Chain : 0
% 7.78/2.94 #Close : 0
% 7.78/2.94
% 7.78/2.94 Ordering : KBO
% 7.78/2.94
% 7.78/2.94 Simplification rules
% 7.78/2.94 ----------------------
% 7.78/2.94 #Subsume : 187
% 7.78/2.94 #Demod : 154
% 7.78/2.94 #Tautology : 164
% 7.78/2.94 #SimpNegUnit : 42
% 7.78/2.94 #BackRed : 0
% 7.78/2.94
% 7.78/2.94 #Partial instantiations: 0
% 7.78/2.94 #Strategies tried : 1
% 7.78/2.94
% 7.78/2.94 Timing (in seconds)
% 7.78/2.94 ----------------------
% 7.78/2.95 Preprocessing : 0.57
% 7.78/2.95 Parsing : 0.32
% 7.78/2.95 CNF conversion : 0.04
% 7.78/2.95 Main loop : 1.28
% 7.78/2.95 Inferencing : 0.50
% 7.78/2.95 Reduction : 0.32
% 7.78/2.95 Demodulation : 0.20
% 7.78/2.95 BG Simplification : 0.05
% 7.78/2.95 Subsumption : 0.33
% 7.78/2.95 Abstraction : 0.04
% 7.78/2.95 MUC search : 0.00
% 7.78/2.95 Cooper : 0.00
% 7.78/2.95 Total : 1.90
% 7.78/2.95 Index Insertion : 0.00
% 7.78/2.95 Index Deletion : 0.00
% 7.78/2.95 Index Matching : 0.00
% 7.78/2.95 BG Taut test : 0.00
%------------------------------------------------------------------------------