TSTP Solution File: GEO202+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO202+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : n006.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 10:38:38 EDT 2023
% Result : Theorem 11.33s 3.87s
% Output : CNFRefutation 11.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 58 ( 21 unt; 9 typ; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 105 ( 31 ~; 62 |; 4 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 6 >; 6 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 57 (; 57 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > 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(distinct_points,type,
distinct_points: ( $i * $i ) > $o ).
tff(intersection_point,type,
intersection_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('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(f_141,negated_conjecture,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& distinct_points(X,Z)
& convergent_lines(line_connecting(X,Y),line_connecting(X,Z)) )
=> ~ distinct_points(intersection_point(line_connecting(X,Y),line_connecting(X,Z)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_70,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart4) ).
tff(f_129,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq3) ).
tff(f_112,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/GEO008+0.ax',cu1) ).
tff(f_99,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( ( apart_point_and_line(Z,X)
| apart_point_and_line(Z,Y) )
=> distinct_points(Z,intersection_point(X,Y)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con2) ).
tff(f_58,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(f_91,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( apart_point_and_line(Z,line_connecting(X,Y))
=> ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con1) ).
tff(c_32,plain,
convergent_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_30,plain,
distinct_points(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_56,plain,
! [Y_48,Z_49,X_50] :
( distinct_points(Y_48,Z_49)
| distinct_points(X_50,Z_49)
| ~ distinct_points(X_50,Y_48) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_63,plain,
! [Z_49] :
( distinct_points('#skF_1',Z_49)
| distinct_points(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),Z_49) ),
inference(resolution,[status(thm)],[c_30,c_56]) ).
tff(c_28,plain,
! [X_29,Y_30] :
( distinct_lines(X_29,Y_30)
| ~ convergent_lines(X_29,Y_30) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_1313,plain,
! [Y_120,V_121,U_122,X_123] :
( apart_point_and_line(Y_120,V_121)
| apart_point_and_line(Y_120,U_122)
| apart_point_and_line(X_123,V_121)
| apart_point_and_line(X_123,U_122)
| ~ distinct_lines(U_122,V_121)
| ~ distinct_points(X_123,Y_120) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_2960,plain,
! [Y_185,Y_186,X_187,X_188] :
( apart_point_and_line(Y_185,Y_186)
| apart_point_and_line(Y_185,X_187)
| apart_point_and_line(X_188,Y_186)
| apart_point_and_line(X_188,X_187)
| ~ distinct_points(X_188,Y_185)
| ~ convergent_lines(X_187,Y_186) ),
inference(resolution,[status(thm)],[c_28,c_1313]) ).
tff(c_5852,plain,
! [Z_279,Y_280,X_281] :
( apart_point_and_line(Z_279,Y_280)
| apart_point_and_line(Z_279,X_281)
| apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),Y_280)
| apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),X_281)
| ~ convergent_lines(X_281,Y_280)
| distinct_points('#skF_1',Z_279) ),
inference(resolution,[status(thm)],[c_63,c_2960]) ).
tff(c_5879,plain,
! [Z_279] :
( apart_point_and_line(Z_279,line_connecting('#skF_1','#skF_3'))
| apart_point_and_line(Z_279,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),line_connecting('#skF_1','#skF_3'))
| apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_1',Z_279) ),
inference(resolution,[status(thm)],[c_32,c_5852]) ).
tff(c_6852,plain,
apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_5879]) ).
tff(c_786,plain,
! [Z_96,X_97,Y_98] :
( ~ apart_point_and_line(Z_96,X_97)
| distinct_points(Z_96,intersection_point(X_97,Y_98))
| ~ convergent_lines(X_97,Y_98) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_794,plain,
! [X_97,Y_98] :
( ~ apart_point_and_line(intersection_point(X_97,Y_98),X_97)
| ~ convergent_lines(X_97,Y_98) ),
inference(resolution,[status(thm)],[c_786,c_2]) ).
tff(c_6997,plain,
~ convergent_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),
inference(resolution,[status(thm)],[c_6852,c_794]) ).
tff(c_7017,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_6997]) ).
tff(c_7019,plain,
~ apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_5879]) ).
tff(c_36,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_3476,plain,
! [Y_194,X_195] :
( apart_point_and_line('#skF_2',Y_194)
| apart_point_and_line('#skF_2',X_195)
| apart_point_and_line('#skF_1',Y_194)
| apart_point_and_line('#skF_1',X_195)
| ~ convergent_lines(X_195,Y_194) ),
inference(resolution,[status(thm)],[c_36,c_2960]) ).
tff(c_3512,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_32,c_3476]) ).
tff(c_4171,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_3512]) ).
tff(c_16,plain,
! [Z_15,X_13,Y_14] :
( distinct_points(Z_15,X_13)
| ~ apart_point_and_line(Z_15,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_4178,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_4171,c_16]) ).
tff(c_4190,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_4178]) ).
tff(c_4192,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_4190]) ).
tff(c_4194,plain,
~ apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_3512]) ).
tff(c_34,plain,
distinct_points('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_3862,plain,
! [Y_205,X_206] :
( apart_point_and_line('#skF_3',Y_205)
| apart_point_and_line('#skF_3',X_206)
| apart_point_and_line('#skF_1',Y_205)
| apart_point_and_line('#skF_1',X_206)
| ~ convergent_lines(X_206,Y_205) ),
inference(resolution,[status(thm)],[c_34,c_2960]) ).
tff(c_3898,plain,
( apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_3',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_32,c_3862]) ).
tff(c_4859,plain,
( apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')) ),
inference(negUnitSimplification,[status(thm)],[c_4194,c_3898]) ).
tff(c_4860,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_4859]) ).
tff(c_4867,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_3') ),
inference(resolution,[status(thm)],[c_4860,c_16]) ).
tff(c_4879,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_4867]) ).
tff(c_4881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_4879]) ).
tff(c_4883,plain,
~ apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')),
inference(splitRight,[status(thm)],[c_4859]) ).
tff(c_5264,plain,
! [Y_249,X_250] :
( apart_point_and_line('#skF_1',Y_249)
| apart_point_and_line('#skF_1',X_250)
| apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),Y_249)
| apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),X_250)
| ~ convergent_lines(X_250,Y_249) ),
inference(resolution,[status(thm)],[c_30,c_2960]) ).
tff(c_5282,plain,
( apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),line_connecting('#skF_1','#skF_3'))
| apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_32,c_5264]) ).
tff(c_5307,plain,
( apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),line_connecting('#skF_1','#skF_3'))
| apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),line_connecting('#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_4194,c_4883,c_5282]) ).
tff(c_13362,plain,
apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),line_connecting('#skF_1','#skF_3')),
inference(negUnitSimplification,[status(thm)],[c_7019,c_5307]) ).
tff(c_86,plain,
! [Z_53,Y_54,X_55] :
( ~ apart_point_and_line(Z_53,Y_54)
| distinct_points(Z_53,intersection_point(X_55,Y_54))
| ~ convergent_lines(X_55,Y_54) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_94,plain,
! [X_55,Y_54] :
( ~ apart_point_and_line(intersection_point(X_55,Y_54),Y_54)
| ~ convergent_lines(X_55,Y_54) ),
inference(resolution,[status(thm)],[c_86,c_2]) ).
tff(c_13379,plain,
~ convergent_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),
inference(resolution,[status(thm)],[c_13362,c_94]) ).
tff(c_13401,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_13379]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO202+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : n006.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 4 00:18:58 EDT 2023
% 0.14/0.36 % CPUTime :
% 11.33/3.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.33/3.88
% 11.33/3.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.43/3.91
% 11.43/3.91 Inference rules
% 11.43/3.91 ----------------------
% 11.43/3.91 #Ref : 0
% 11.43/3.91 #Sup : 1780
% 11.43/3.91 #Fact : 802
% 11.43/3.91 #Define : 0
% 11.43/3.91 #Split : 5
% 11.43/3.91 #Chain : 0
% 11.43/3.91 #Close : 0
% 11.43/3.91
% 11.43/3.91 Ordering : KBO
% 11.43/3.91
% 11.43/3.91 Simplification rules
% 11.43/3.91 ----------------------
% 11.43/3.91 #Subsume : 927
% 11.43/3.91 #Demod : 489
% 11.43/3.91 #Tautology : 399
% 11.43/3.91 #SimpNegUnit : 422
% 11.43/3.91 #BackRed : 0
% 11.43/3.91
% 11.43/3.91 #Partial instantiations: 0
% 11.43/3.91 #Strategies tried : 1
% 11.43/3.91
% 11.43/3.91 Timing (in seconds)
% 11.43/3.91 ----------------------
% 11.43/3.92 Preprocessing : 0.47
% 11.43/3.92 Parsing : 0.26
% 11.43/3.92 CNF conversion : 0.03
% 11.43/3.92 Main loop : 2.35
% 11.43/3.92 Inferencing : 0.85
% 11.43/3.92 Reduction : 0.47
% 11.43/3.92 Demodulation : 0.28
% 11.43/3.92 BG Simplification : 0.04
% 11.43/3.92 Subsumption : 0.84
% 11.43/3.92 Abstraction : 0.05
% 11.43/3.92 MUC search : 0.00
% 11.43/3.92 Cooper : 0.00
% 11.43/3.92 Total : 2.87
% 11.43/3.92 Index Insertion : 0.00
% 11.43/3.92 Index Deletion : 0.00
% 11.43/3.92 Index Matching : 0.00
% 11.43/3.92 BG Taut test : 0.00
%------------------------------------------------------------------------------