TSTP Solution File: GEO187+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO187+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 : 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 10:38:31 EDT 2023
% Result : Theorem 10.98s 3.85s
% Output : CNFRefutation 10.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 65 ( 26 unt; 10 typ; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 99 ( 27 ~; 61 |; 6 &)
% ( 0 <=>; 5 =>; 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 50 (; 50 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > line_connecting > intersection_point > #nlpp > #skF_2 > #skF_3 > #skF_1 > #skF_4
%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('#skF_4',type,
'#skF_4': $i ).
tff(f_58,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(f_148,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_points(U,V)
& ~ apart_point_and_line(X,line_connecting(U,V))
& ~ apart_point_and_line(Y,line_connecting(U,V)) )
=> ( ~ apart_point_and_line(U,line_connecting(X,Y))
& ~ apart_point_and_line(V,line_connecting(X,Y)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO008+0.ax',con1) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_36,plain,
distinct_points('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_34,plain,
~ apart_point_and_line('#skF_1',line_connecting('#skF_3','#skF_4')),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_38,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_30,plain,
( apart_point_and_line('#skF_4',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')) ),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_49,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_87,plain,
! [X_48,Z_49,Y_50] :
( apart_point_and_line(X_48,Z_49)
| distinct_lines(Y_50,Z_49)
| ~ apart_point_and_line(X_48,Y_50) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_93,plain,
! [Z_49] :
( apart_point_and_line('#skF_3',Z_49)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_49) ),
inference(resolution,[status(thm)],[c_49,c_87]) ).
tff(c_1337,plain,
! [Y_126,V_127,U_128,X_129] :
( apart_point_and_line(Y_126,V_127)
| apart_point_and_line(Y_126,U_128)
| apart_point_and_line(X_129,V_127)
| apart_point_and_line(X_129,U_128)
| ~ distinct_lines(U_128,V_127)
| ~ distinct_points(X_129,Y_126) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_7188,plain,
! [Y_319,Z_320,X_321] :
( apart_point_and_line(Y_319,Z_320)
| apart_point_and_line(Y_319,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_321,Z_320)
| apart_point_and_line(X_321,line_connecting('#skF_1','#skF_2'))
| ~ distinct_points(X_321,Y_319)
| apart_point_and_line('#skF_3',Z_320) ),
inference(resolution,[status(thm)],[c_93,c_1337]) ).
tff(c_7981,plain,
! [Z_320] :
( apart_point_and_line('#skF_2',Z_320)
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',Z_320)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_3',Z_320) ),
inference(resolution,[status(thm)],[c_38,c_7188]) ).
tff(c_8290,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_7981]) ).
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_8297,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_8290,c_16]) ).
tff(c_8309,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_8297]) ).
tff(c_8311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_8309]) ).
tff(c_8312,plain,
! [Z_320] :
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2',Z_320)
| apart_point_and_line('#skF_1',Z_320)
| apart_point_and_line('#skF_3',Z_320) ),
inference(splitRight,[status(thm)],[c_7981]) ).
tff(c_8574,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_8312]) ).
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_8584,plain,
( distinct_points('#skF_2','#skF_2')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_8574,c_14]) ).
tff(c_8596,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_8584]) ).
tff(c_8598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_8596]) ).
tff(c_8611,plain,
! [Z_340] :
( apart_point_and_line('#skF_2',Z_340)
| apart_point_and_line('#skF_1',Z_340)
| apart_point_and_line('#skF_3',Z_340) ),
inference(splitRight,[status(thm)],[c_8312]) ).
tff(c_32,plain,
~ apart_point_and_line('#skF_2',line_connecting('#skF_3','#skF_4')),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_8633,plain,
( apart_point_and_line('#skF_1',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_4')) ),
inference(resolution,[status(thm)],[c_8611,c_32]) ).
tff(c_8645,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_4')),
inference(negUnitSimplification,[status(thm)],[c_34,c_8633]) ).
tff(c_8652,plain,
( distinct_points('#skF_3','#skF_3')
| ~ distinct_points('#skF_3','#skF_4') ),
inference(resolution,[status(thm)],[c_8645,c_16]) ).
tff(c_8664,plain,
distinct_points('#skF_3','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_8652]) ).
tff(c_8666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_8664]) ).
tff(c_8667,plain,
apart_point_and_line('#skF_4',line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_8698,plain,
! [X_346,Z_347,Y_348] :
( apart_point_and_line(X_346,Z_347)
| distinct_lines(Y_348,Z_347)
| ~ apart_point_and_line(X_346,Y_348) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_8701,plain,
! [Z_347] :
( apart_point_and_line('#skF_4',Z_347)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_347) ),
inference(resolution,[status(thm)],[c_8667,c_8698]) ).
tff(c_9726,plain,
! [Y_418,V_419,U_420,X_421] :
( apart_point_and_line(Y_418,V_419)
| apart_point_and_line(Y_418,U_420)
| apart_point_and_line(X_421,V_419)
| apart_point_and_line(X_421,U_420)
| ~ distinct_lines(U_420,V_419)
| ~ distinct_points(X_421,Y_418) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_14739,plain,
! [Y_590,Z_591,X_592] :
( apart_point_and_line(Y_590,Z_591)
| apart_point_and_line(Y_590,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_592,Z_591)
| apart_point_and_line(X_592,line_connecting('#skF_1','#skF_2'))
| ~ distinct_points(X_592,Y_590)
| apart_point_and_line('#skF_4',Z_591) ),
inference(resolution,[status(thm)],[c_8701,c_9726]) ).
tff(c_15496,plain,
! [Z_591] :
( apart_point_and_line('#skF_2',Z_591)
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',Z_591)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_4',Z_591) ),
inference(resolution,[status(thm)],[c_38,c_14739]) ).
tff(c_15873,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_15496]) ).
tff(c_15883,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_15873,c_16]) ).
tff(c_15895,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_15883]) ).
tff(c_15897,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_15895]) ).
tff(c_15898,plain,
! [Z_591] :
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2',Z_591)
| apart_point_and_line('#skF_1',Z_591)
| apart_point_and_line('#skF_4',Z_591) ),
inference(splitRight,[status(thm)],[c_15496]) ).
tff(c_16504,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_15898]) ).
tff(c_16511,plain,
( distinct_points('#skF_2','#skF_2')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_16504,c_14]) ).
tff(c_16523,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_16511]) ).
tff(c_16525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_16523]) ).
tff(c_16538,plain,
! [Z_621] :
( apart_point_and_line('#skF_2',Z_621)
| apart_point_and_line('#skF_1',Z_621)
| apart_point_and_line('#skF_4',Z_621) ),
inference(splitRight,[status(thm)],[c_15898]) ).
tff(c_16560,plain,
( apart_point_and_line('#skF_1',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_4',line_connecting('#skF_3','#skF_4')) ),
inference(resolution,[status(thm)],[c_16538,c_32]) ).
tff(c_16572,plain,
apart_point_and_line('#skF_4',line_connecting('#skF_3','#skF_4')),
inference(negUnitSimplification,[status(thm)],[c_34,c_16560]) ).
tff(c_16579,plain,
( distinct_points('#skF_4','#skF_4')
| ~ distinct_points('#skF_3','#skF_4') ),
inference(resolution,[status(thm)],[c_16572,c_14]) ).
tff(c_16591,plain,
distinct_points('#skF_4','#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_16579]) ).
tff(c_16593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_16591]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO187+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
% 0.14/0.36 % Computer : n008.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 : Fri Aug 4 00:48:33 EDT 2023
% 0.14/0.36 % CPUTime :
% 10.98/3.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.98/3.85
% 10.98/3.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.98/3.89
% 10.98/3.89 Inference rules
% 10.98/3.89 ----------------------
% 10.98/3.89 #Ref : 0
% 10.98/3.89 #Sup : 2351
% 10.98/3.89 #Fact : 956
% 10.98/3.89 #Define : 0
% 10.98/3.89 #Split : 5
% 10.98/3.89 #Chain : 0
% 10.98/3.89 #Close : 0
% 10.98/3.89
% 10.98/3.89 Ordering : KBO
% 10.98/3.89
% 10.98/3.89 Simplification rules
% 10.98/3.89 ----------------------
% 10.98/3.89 #Subsume : 1131
% 10.98/3.89 #Demod : 659
% 10.98/3.89 #Tautology : 601
% 10.98/3.89 #SimpNegUnit : 342
% 10.98/3.89 #BackRed : 0
% 10.98/3.89
% 10.98/3.89 #Partial instantiations: 0
% 10.98/3.89 #Strategies tried : 1
% 10.98/3.89
% 10.98/3.89 Timing (in seconds)
% 10.98/3.89 ----------------------
% 10.98/3.89 Preprocessing : 0.47
% 10.98/3.89 Parsing : 0.26
% 10.98/3.89 CNF conversion : 0.03
% 10.98/3.89 Main loop : 2.29
% 10.98/3.89 Inferencing : 0.85
% 10.98/3.89 Reduction : 0.46
% 10.98/3.89 Demodulation : 0.27
% 10.98/3.89 BG Simplification : 0.05
% 10.98/3.89 Subsumption : 0.81
% 10.98/3.89 Abstraction : 0.06
% 10.98/3.89 MUC search : 0.00
% 10.98/3.89 Cooper : 0.00
% 10.98/3.89 Total : 2.81
% 10.98/3.89 Index Insertion : 0.00
% 10.98/3.89 Index Deletion : 0.00
% 10.98/3.89 Index Matching : 0.00
% 10.98/3.89 BG Taut test : 0.00
%------------------------------------------------------------------------------