TSTP Solution File: GEO190+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO190+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 : n021.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 7.58s 2.82s
% Output : CNFRefutation 7.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 57 ( 17 unt; 9 typ; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 90 ( 21 ~; 57 |; 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 : 63 (; 63 !; 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(Z,line_connecting(Y,X)) ),
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_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_71,plain,
! [Z_43] :
( distinct_points('#skF_2',Z_43)
| distinct_points('#skF_1',Z_43) ),
inference(resolution,[status(thm)],[c_38,c_49]) ).
tff(c_8,plain,
! [Y_5,Z_6,X_4] :
( distinct_points(Y_5,Z_6)
| distinct_points(X_4,Z_6)
| ~ distinct_points(X_4,Y_5) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_131,plain,
! [Z_53,Z_54] :
( distinct_points(Z_53,Z_54)
| distinct_points('#skF_2',Z_54)
| distinct_points('#skF_1',Z_53) ),
inference(resolution,[status(thm)],[c_71,c_8]) ).
tff(c_153,plain,
! [Z_55] :
( distinct_points(Z_55,'#skF_2')
| distinct_points('#skF_1',Z_55) ),
inference(resolution,[status(thm)],[c_131,c_2]) ).
tff(c_450,plain,
! [Z_77,Z_78] :
( distinct_points(Z_77,Z_78)
| distinct_points('#skF_1',Z_78)
| distinct_points(Z_77,'#skF_2') ),
inference(resolution,[status(thm)],[c_153,c_8]) ).
tff(c_475,plain,
! [Z_79] :
( distinct_points(Z_79,'#skF_1')
| distinct_points(Z_79,'#skF_2') ),
inference(resolution,[status(thm)],[c_450,c_2]) ).
tff(c_483,plain,
distinct_points('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_475,c_2]) ).
tff(c_30,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_2','#skF_1')),
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_3',Z_50)
| distinct_lines(line_connecting('#skF_2','#skF_1'),Z_50) ),
inference(resolution,[status(thm)],[c_30,c_99]) ).
tff(c_1588,plain,
! [Y_135,V_136,U_137,X_138] :
( apart_point_and_line(Y_135,V_136)
| apart_point_and_line(Y_135,U_137)
| apart_point_and_line(X_138,V_136)
| apart_point_and_line(X_138,U_137)
| ~ distinct_lines(U_137,V_136)
| ~ distinct_points(X_138,Y_135) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1881,plain,
! [Y_148,Z_149,X_150] :
( apart_point_and_line(Y_148,Z_149)
| apart_point_and_line(Y_148,line_connecting('#skF_2','#skF_1'))
| apart_point_and_line(X_150,Z_149)
| apart_point_and_line(X_150,line_connecting('#skF_2','#skF_1'))
| ~ distinct_points(X_150,Y_148)
| apart_point_and_line('#skF_3',Z_149) ),
inference(resolution,[status(thm)],[c_105,c_1588]) ).
tff(c_2188,plain,
! [Z_149] :
( apart_point_and_line('#skF_2',Z_149)
| apart_point_and_line('#skF_2',line_connecting('#skF_2','#skF_1'))
| apart_point_and_line('#skF_1',Z_149)
| apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1'))
| apart_point_and_line('#skF_3',Z_149) ),
inference(resolution,[status(thm)],[c_38,c_1881]) ).
tff(c_5863,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1')),
inference(splitLeft,[status(thm)],[c_2188]) ).
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_5870,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_2','#skF_1') ),
inference(resolution,[status(thm)],[c_5863,c_14]) ).
tff(c_5882,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_483,c_5870]) ).
tff(c_5884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_5882]) ).
tff(c_5885,plain,
! [Z_149] :
( apart_point_and_line('#skF_2',line_connecting('#skF_2','#skF_1'))
| apart_point_and_line('#skF_2',Z_149)
| apart_point_and_line('#skF_1',Z_149)
| apart_point_and_line('#skF_3',Z_149) ),
inference(splitRight,[status(thm)],[c_2188]) ).
tff(c_6408,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_2','#skF_1')),
inference(splitLeft,[status(thm)],[c_5885]) ).
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_6418,plain,
( distinct_points('#skF_2','#skF_2')
| ~ distinct_points('#skF_2','#skF_1') ),
inference(resolution,[status(thm)],[c_6408,c_16]) ).
tff(c_6430,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_483,c_6418]) ).
tff(c_6432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_6430]) ).
tff(c_6445,plain,
! [Z_270] :
( apart_point_and_line('#skF_2',Z_270)
| apart_point_and_line('#skF_1',Z_270)
| apart_point_and_line('#skF_3',Z_270) ),
inference(splitRight,[status(thm)],[c_5885]) ).
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_6503,plain,
! [Z_273,Z_274] :
( apart_point_and_line(Z_273,Z_274)
| distinct_points('#skF_2',Z_273)
| apart_point_and_line('#skF_1',Z_274)
| apart_point_and_line('#skF_3',Z_274) ),
inference(resolution,[status(thm)],[c_6445,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_6585,plain,
! [Z_273] :
( apart_point_and_line(Z_273,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_2',Z_273)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_6503,c_32]) ).
tff(c_6855,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_6585]) ).
tff(c_6865,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_6855,c_16]) ).
tff(c_6877,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_6865]) ).
tff(c_6879,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_6877]) ).
tff(c_6884,plain,
! [Z_284] :
( apart_point_and_line(Z_284,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_2',Z_284) ),
inference(splitRight,[status(thm)],[c_6585]) ).
tff(c_6902,plain,
! [Z_284] :
( distinct_points(Z_284,'#skF_2')
| ~ distinct_points('#skF_1','#skF_2')
| distinct_points('#skF_2',Z_284) ),
inference(resolution,[status(thm)],[c_6884,c_14]) ).
tff(c_6921,plain,
! [Z_284] :
( distinct_points(Z_284,'#skF_2')
| distinct_points('#skF_2',Z_284) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_6902]) ).
tff(c_6940,plain,
distinct_points('#skF_2','#skF_2'),
inference(factorization,[status(thm),theory(equality)],[c_6921]) ).
tff(c_6944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_6940]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO190+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/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
% 0.16/0.35 % Computer : n021.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Fri Aug 4 00:33:52 EDT 2023
% 0.16/0.35 % CPUTime :
% 7.58/2.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.58/2.83
% 7.58/2.83 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.58/2.86
% 7.58/2.86 Inference rules
% 7.58/2.86 ----------------------
% 7.58/2.86 #Ref : 0
% 7.58/2.86 #Sup : 1000
% 7.58/2.86 #Fact : 388
% 7.58/2.86 #Define : 0
% 7.58/2.86 #Split : 3
% 7.58/2.86 #Chain : 0
% 7.58/2.86 #Close : 0
% 7.58/2.86
% 7.58/2.86 Ordering : KBO
% 7.58/2.86
% 7.58/2.86 Simplification rules
% 7.58/2.86 ----------------------
% 7.58/2.86 #Subsume : 462
% 7.58/2.86 #Demod : 274
% 7.58/2.86 #Tautology : 245
% 7.58/2.86 #SimpNegUnit : 140
% 7.58/2.86 #BackRed : 0
% 7.58/2.86
% 7.58/2.86 #Partial instantiations: 0
% 7.58/2.86 #Strategies tried : 1
% 7.58/2.86
% 7.58/2.86 Timing (in seconds)
% 7.58/2.86 ----------------------
% 7.58/2.87 Preprocessing : 0.46
% 7.58/2.87 Parsing : 0.26
% 7.58/2.87 CNF conversion : 0.03
% 7.58/2.87 Main loop : 1.35
% 7.58/2.87 Inferencing : 0.49
% 7.58/2.87 Reduction : 0.30
% 7.58/2.87 Demodulation : 0.18
% 7.58/2.87 BG Simplification : 0.04
% 7.58/2.87 Subsumption : 0.45
% 7.58/2.87 Abstraction : 0.04
% 7.58/2.87 MUC search : 0.00
% 7.58/2.87 Cooper : 0.00
% 7.58/2.87 Total : 1.87
% 7.58/2.87 Index Insertion : 0.00
% 7.58/2.87 Index Deletion : 0.00
% 7.58/2.87 Index Matching : 0.00
% 7.58/2.87 BG Taut test : 0.00
%------------------------------------------------------------------------------