TSTP Solution File: GEO188+2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO188+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 : n027.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 10:38:32 EDT 2023
% Result : Theorem 8.49s 3.10s
% Output : CNFRefutation 8.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 53 ( 18 unt; 9 typ; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 81 ( 20 ~; 49 |; 5 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 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 : 54 (; 54 !; 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_58,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(f_144,negated_conjecture,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& distinct_points(X,Z)
& distinct_points(Y,Z)
& ~ apart_point_and_line(Z,line_connecting(X,Y)) )
=> ~ apart_point_and_line(X,line_connecting(Z,Y)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO008+0.ax',apart4) ).
tff(f_125,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq2) ).
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/sandbox2/benchmark/Axioms/GEO008+0.ax',cu1) ).
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/sandbox2/benchmark/Axioms/GEO008+0.ax',con1) ).
tff(f_119,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq1) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_38,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_34,plain,
distinct_points('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_49,plain,
! [Y_39,Z_40,X_41] :
( distinct_points(Y_39,Z_40)
| distinct_points(X_41,Z_40)
| ~ distinct_points(X_41,Y_39) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_59,plain,
! [Z_42] :
( distinct_points('#skF_3',Z_42)
| distinct_points('#skF_2',Z_42) ),
inference(resolution,[status(thm)],[c_34,c_49]) ).
tff(c_67,plain,
distinct_points('#skF_3','#skF_2'),
inference(resolution,[status(thm)],[c_59,c_2]) ).
tff(c_30,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_3','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_99,plain,
! [X_49,Z_50,Y_51] :
( apart_point_and_line(X_49,Z_50)
| distinct_lines(Y_51,Z_50)
| ~ apart_point_and_line(X_49,Y_51) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_105,plain,
! [Z_50] :
( apart_point_and_line('#skF_1',Z_50)
| distinct_lines(line_connecting('#skF_3','#skF_2'),Z_50) ),
inference(resolution,[status(thm)],[c_30,c_99]) ).
tff(c_1659,plain,
! [Y_138,V_139,U_140,X_141] :
( apart_point_and_line(Y_138,V_139)
| apart_point_and_line(Y_138,U_140)
| apart_point_and_line(X_141,V_139)
| apart_point_and_line(X_141,U_140)
| ~ distinct_lines(U_140,V_139)
| ~ distinct_points(X_141,Y_138) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1962,plain,
! [Y_151,Z_152,X_153] :
( apart_point_and_line(Y_151,Z_152)
| apart_point_and_line(Y_151,line_connecting('#skF_3','#skF_2'))
| apart_point_and_line(X_153,Z_152)
| apart_point_and_line(X_153,line_connecting('#skF_3','#skF_2'))
| ~ distinct_points(X_153,Y_151)
| apart_point_and_line('#skF_1',Z_152) ),
inference(resolution,[status(thm)],[c_105,c_1659]) ).
tff(c_2276,plain,
! [Z_152] :
( apart_point_and_line('#skF_3',Z_152)
| apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_2'))
| apart_point_and_line('#skF_2',Z_152)
| apart_point_and_line('#skF_2',line_connecting('#skF_3','#skF_2'))
| apart_point_and_line('#skF_1',Z_152) ),
inference(resolution,[status(thm)],[c_34,c_1962]) ).
tff(c_6063,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_3','#skF_2')),
inference(splitLeft,[status(thm)],[c_2276]) ).
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_91]) ).
tff(c_6070,plain,
( distinct_points('#skF_2','#skF_2')
| ~ distinct_points('#skF_3','#skF_2') ),
inference(resolution,[status(thm)],[c_6063,c_14]) ).
tff(c_6082,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_67,c_6070]) ).
tff(c_6084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_6082]) ).
tff(c_6085,plain,
! [Z_152] :
( apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_2'))
| apart_point_and_line('#skF_3',Z_152)
| apart_point_and_line('#skF_2',Z_152)
| apart_point_and_line('#skF_1',Z_152) ),
inference(splitRight,[status(thm)],[c_2276]) ).
tff(c_6903,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_2')),
inference(splitLeft,[status(thm)],[c_6085]) ).
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_6913,plain,
( distinct_points('#skF_3','#skF_3')
| ~ distinct_points('#skF_3','#skF_2') ),
inference(resolution,[status(thm)],[c_6903,c_16]) ).
tff(c_6925,plain,
distinct_points('#skF_3','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_67,c_6913]) ).
tff(c_6927,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_6925]) ).
tff(c_6940,plain,
! [Z_282] :
( apart_point_and_line('#skF_3',Z_282)
| apart_point_and_line('#skF_2',Z_282)
| apart_point_and_line('#skF_1',Z_282) ),
inference(splitRight,[status(thm)],[c_6085]) ).
tff(c_24,plain,
! [Z_25,Y_24,X_23] :
( apart_point_and_line(Z_25,Y_24)
| distinct_points(X_23,Z_25)
| ~ apart_point_and_line(X_23,Y_24) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_6998,plain,
! [Z_285,Z_286] :
( apart_point_and_line(Z_285,Z_286)
| distinct_points('#skF_2',Z_285)
| apart_point_and_line('#skF_3',Z_286)
| apart_point_and_line('#skF_1',Z_286) ),
inference(resolution,[status(thm)],[c_6940,c_24]) ).
tff(c_32,plain,
~ apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_7085,plain,
! [Z_285] :
( apart_point_and_line(Z_285,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_2',Z_285)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_6998,c_32]) ).
tff(c_7087,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_7085]) ).
tff(c_7097,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_7087,c_16]) ).
tff(c_7109,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_7097]) ).
tff(c_7111,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_7109]) ).
tff(c_7116,plain,
! [Z_290] :
( apart_point_and_line(Z_290,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_2',Z_290) ),
inference(splitRight,[status(thm)],[c_7085]) ).
tff(c_7134,plain,
! [Z_290] :
( distinct_points(Z_290,'#skF_2')
| ~ distinct_points('#skF_1','#skF_2')
| distinct_points('#skF_2',Z_290) ),
inference(resolution,[status(thm)],[c_7116,c_14]) ).
tff(c_7153,plain,
! [Z_290] :
( distinct_points(Z_290,'#skF_2')
| distinct_points('#skF_2',Z_290) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_7134]) ).
tff(c_7172,plain,
distinct_points('#skF_2','#skF_2'),
inference(factorization,[status(thm),theory(equality)],[c_7153]) ).
tff(c_7176,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_7172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO188+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % 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
% 0.18/0.34 % Computer : n027.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Fri Aug 4 01:05:39 EDT 2023
% 0.18/0.34 % CPUTime :
% 8.49/3.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.49/3.11
% 8.49/3.11 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.73/3.14
% 8.73/3.14 Inference rules
% 8.73/3.14 ----------------------
% 8.73/3.14 #Ref : 0
% 8.73/3.14 #Sup : 1027
% 8.73/3.14 #Fact : 406
% 8.73/3.14 #Define : 0
% 8.73/3.14 #Split : 3
% 8.73/3.14 #Chain : 0
% 8.73/3.14 #Close : 0
% 8.73/3.14
% 8.73/3.14 Ordering : KBO
% 8.73/3.14
% 8.73/3.14 Simplification rules
% 8.73/3.14 ----------------------
% 8.73/3.14 #Subsume : 496
% 8.73/3.14 #Demod : 282
% 8.73/3.14 #Tautology : 249
% 8.73/3.14 #SimpNegUnit : 138
% 8.73/3.14 #BackRed : 0
% 8.73/3.14
% 8.73/3.14 #Partial instantiations: 0
% 8.73/3.14 #Strategies tried : 1
% 8.73/3.14
% 8.73/3.14 Timing (in seconds)
% 8.73/3.14 ----------------------
% 8.73/3.14 Preprocessing : 0.47
% 8.73/3.14 Parsing : 0.26
% 8.73/3.14 CNF conversion : 0.03
% 8.73/3.14 Main loop : 1.54
% 8.73/3.14 Inferencing : 0.50
% 8.73/3.14 Reduction : 0.32
% 8.73/3.14 Demodulation : 0.19
% 8.73/3.14 BG Simplification : 0.04
% 8.73/3.14 Subsumption : 0.61
% 8.73/3.14 Abstraction : 0.04
% 8.73/3.14 MUC search : 0.00
% 8.73/3.14 Cooper : 0.00
% 8.73/3.14 Total : 2.07
% 8.73/3.14 Index Insertion : 0.00
% 8.73/3.14 Index Deletion : 0.00
% 8.73/3.14 Index Matching : 0.00
% 8.73/3.14 BG Taut test : 0.00
%------------------------------------------------------------------------------