TSTP Solution File: GEO203+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO203+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/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 : n017.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 5.85s 2.50s
% Output : CNFRefutation 5.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 48 ( 19 unt; 9 typ; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 76 ( 24 ~; 41 |; 4 &)
% ( 0 <=>; 7 =>; 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 : 42 (; 42 !; 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_59,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(f_142,negated_conjecture,
~ ! [X,Y,Z] :
( ( convergent_lines(X,Y)
& convergent_lines(X,Z)
& distinct_points(intersection_point(X,Y),intersection_point(X,Z)) )
=> ~ distinct_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_130,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq3) ).
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/sandbox2/benchmark/Axioms/GEO008+0.ax',cu1) ).
tff(f_100,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/sandbox2/benchmark/Axioms/GEO008+0.ax',con2) ).
tff(f_92,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/sandbox2/benchmark/Axioms/GEO008+0.ax',con1) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_32,plain,
distinct_points(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_34,plain,
convergent_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_36,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
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_130]) ).
tff(c_823,plain,
! [Y_111,V_112,U_113,X_114] :
( apart_point_and_line(Y_111,V_112)
| apart_point_and_line(Y_111,U_113)
| apart_point_and_line(X_114,V_112)
| apart_point_and_line(X_114,U_113)
| ~ distinct_lines(U_113,V_112)
| ~ distinct_points(X_114,Y_111) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_1990,plain,
! [Y_168,Y_169,X_170,X_171] :
( apart_point_and_line(Y_168,Y_169)
| apart_point_and_line(Y_168,X_170)
| apart_point_and_line(X_171,Y_169)
| apart_point_and_line(X_171,X_170)
| ~ distinct_points(X_171,Y_168)
| ~ convergent_lines(X_170,Y_169) ),
inference(resolution,[status(thm)],[c_28,c_823]) ).
tff(c_2080,plain,
! [Y_176,X_177] :
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),Y_176)
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),X_177)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Y_176)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),X_177)
| ~ convergent_lines(X_177,Y_176) ),
inference(resolution,[status(thm)],[c_32,c_1990]) ).
tff(c_2182,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1') ),
inference(resolution,[status(thm)],[c_36,c_2080]) ).
tff(c_2536,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_2182]) ).
tff(c_226,plain,
! [Z_67,X_68,Y_69] :
( ~ apart_point_and_line(Z_67,X_68)
| distinct_points(Z_67,intersection_point(X_68,Y_69))
| ~ convergent_lines(X_68,Y_69) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_234,plain,
! [X_68,Y_69] :
( ~ apart_point_and_line(intersection_point(X_68,Y_69),X_68)
| ~ convergent_lines(X_68,Y_69) ),
inference(resolution,[status(thm)],[c_226,c_2]) ).
tff(c_2543,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_2536,c_234]) ).
tff(c_2553,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_2543]) ).
tff(c_2555,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitRight,[status(thm)],[c_2182]) ).
tff(c_30,plain,
distinct_lines(line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_1086,plain,
! [Y_121,X_122] :
( apart_point_and_line(Y_121,'#skF_1')
| apart_point_and_line(Y_121,line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| apart_point_and_line(X_122,'#skF_1')
| apart_point_and_line(X_122,line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| ~ distinct_points(X_122,Y_121) ),
inference(resolution,[status(thm)],[c_30,c_823]) ).
tff(c_1110,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3'))) ),
inference(resolution,[status(thm)],[c_32,c_1086]) ).
tff(c_1359,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3'))),
inference(splitLeft,[status(thm)],[c_1110]) ).
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_92]) ).
tff(c_1550,plain,
( distinct_points(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_2'))
| ~ distinct_points(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')) ),
inference(resolution,[status(thm)],[c_1359,c_16]) ).
tff(c_1562,plain,
distinct_points(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_2')),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_1550]) ).
tff(c_1564,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_1562]) ).
tff(c_1565,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1') ),
inference(splitRight,[status(thm)],[c_1110]) ).
tff(c_2671,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1') ),
inference(negUnitSimplification,[status(thm)],[c_2555,c_1565]) ).
tff(c_2672,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_2671]) ).
tff(c_2679,plain,
~ convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_2672,c_234]) ).
tff(c_2689,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_2679]) ).
tff(c_2690,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_3'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3'))),
inference(splitRight,[status(thm)],[c_2671]) ).
tff(c_14,plain,
! [Z_15,Y_14,X_13] :
( distinct_points(Z_15,Y_14)
| ~ apart_point_and_line(Z_15,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_2806,plain,
( distinct_points(intersection_point('#skF_1','#skF_3'),intersection_point('#skF_1','#skF_3'))
| ~ distinct_points(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')) ),
inference(resolution,[status(thm)],[c_2690,c_14]) ).
tff(c_2818,plain,
distinct_points(intersection_point('#skF_1','#skF_3'),intersection_point('#skF_1','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_2806]) ).
tff(c_2820,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_2818]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO203+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % 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
% 0.14/0.36 % Computer : n017.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 : Thu Aug 3 23:42:07 EDT 2023
% 0.14/0.36 % CPUTime :
% 5.85/2.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.85/2.51
% 5.85/2.51 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.85/2.54
% 5.85/2.54 Inference rules
% 5.85/2.54 ----------------------
% 5.85/2.54 #Ref : 0
% 5.85/2.54 #Sup : 497
% 5.85/2.54 #Fact : 104
% 5.85/2.54 #Define : 0
% 5.85/2.54 #Split : 4
% 5.85/2.54 #Chain : 0
% 5.85/2.54 #Close : 0
% 5.85/2.54
% 5.85/2.54 Ordering : KBO
% 5.85/2.54
% 5.85/2.54 Simplification rules
% 5.85/2.54 ----------------------
% 5.85/2.54 #Subsume : 82
% 5.85/2.54 #Demod : 143
% 5.85/2.54 #Tautology : 136
% 5.85/2.54 #SimpNegUnit : 7
% 5.85/2.54 #BackRed : 0
% 5.85/2.54
% 5.85/2.54 #Partial instantiations: 0
% 5.85/2.54 #Strategies tried : 1
% 5.85/2.54
% 5.85/2.54 Timing (in seconds)
% 5.85/2.54 ----------------------
% 6.14/2.55 Preprocessing : 0.48
% 6.14/2.55 Parsing : 0.27
% 6.14/2.55 CNF conversion : 0.03
% 6.14/2.55 Main loop : 0.91
% 6.14/2.55 Inferencing : 0.35
% 6.14/2.55 Reduction : 0.21
% 6.14/2.55 Demodulation : 0.13
% 6.14/2.55 BG Simplification : 0.03
% 6.14/2.55 Subsumption : 0.25
% 6.14/2.55 Abstraction : 0.03
% 6.14/2.55 MUC search : 0.00
% 6.14/2.55 Cooper : 0.00
% 6.14/2.55 Total : 1.44
% 6.14/2.55 Index Insertion : 0.00
% 6.14/2.55 Index Deletion : 0.00
% 6.14/2.55 Index Matching : 0.00
% 6.14/2.55 BG Taut test : 0.00
%------------------------------------------------------------------------------