TSTP Solution File: GEO201+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO201+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 : n026.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 10:38:37 EDT 2023
% Result : Theorem 6.15s 2.60s
% Output : CNFRefutation 6.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 58 ( 21 unt; 8 typ; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 98 ( 31 ~; 59 |; 1 &)
% ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 68 (; 68 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > line_connecting > intersection_point > #nlpp > #skF_2 > #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_1',type,
'#skF_1': $i ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(f_136,negated_conjecture,
~ ! [X,Y] :
( convergent_lines(X,Y)
=> ~ distinct_points(intersection_point(X,Y),intersection_point(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_81,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart6) ).
tff(f_63,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart3) ).
tff(f_128,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq3) ).
tff(f_75,axiom,
! [X,Y,Z] :
( distinct_lines(X,Y)
=> ( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart5) ).
tff(f_111,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_98,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_57,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(c_32,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_44,plain,
! [Y_42,Z_43,X_44] :
( convergent_lines(Y_42,Z_43)
| convergent_lines(X_44,Z_43)
| ~ convergent_lines(X_44,Y_42) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_48,plain,
! [Z_45] :
( convergent_lines('#skF_2',Z_45)
| convergent_lines('#skF_1',Z_45) ),
inference(resolution,[status(thm)],[c_32,c_44]) ).
tff(c_12,plain,
! [Y_11,Z_12,X_10] :
( convergent_lines(Y_11,Z_12)
| convergent_lines(X_10,Z_12)
| ~ convergent_lines(X_10,Y_11) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_176,plain,
! [Z_66,Z_67] :
( convergent_lines(Z_66,Z_67)
| convergent_lines('#skF_2',Z_67)
| convergent_lines('#skF_1',Z_66) ),
inference(resolution,[status(thm)],[c_48,c_12]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_207,plain,
! [Z_68] :
( convergent_lines(Z_68,'#skF_2')
| convergent_lines('#skF_1',Z_68) ),
inference(resolution,[status(thm)],[c_176,c_6]) ).
tff(c_341,plain,
! [Z_77,Z_78] :
( convergent_lines(Z_77,Z_78)
| convergent_lines('#skF_1',Z_78)
| convergent_lines(Z_77,'#skF_2') ),
inference(resolution,[status(thm)],[c_207,c_12]) ).
tff(c_375,plain,
! [Z_79] :
( convergent_lines(Z_79,'#skF_1')
| convergent_lines(Z_79,'#skF_2') ),
inference(resolution,[status(thm)],[c_341,c_6]) ).
tff(c_386,plain,
convergent_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_375,c_6]) ).
tff(c_30,plain,
distinct_points(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_2','#skF_1')),
inference(cnfTransformation,[status(thm)],[f_136]) ).
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_128]) ).
tff(c_62,plain,
! [Y_49,Z_50,X_51] :
( distinct_lines(Y_49,Z_50)
| distinct_lines(X_51,Z_50)
| ~ distinct_lines(X_51,Y_49) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_66,plain,
! [Y_52,Z_53,X_54] :
( distinct_lines(Y_52,Z_53)
| distinct_lines(X_54,Z_53)
| ~ convergent_lines(X_54,Y_52) ),
inference(resolution,[status(thm)],[c_28,c_62]) ).
tff(c_72,plain,
! [Z_53] :
( distinct_lines('#skF_2',Z_53)
| distinct_lines('#skF_1',Z_53) ),
inference(resolution,[status(thm)],[c_32,c_66]) ).
tff(c_1096,plain,
! [Y_121,V_122,U_123,X_124] :
( apart_point_and_line(Y_121,V_122)
| apart_point_and_line(Y_121,U_123)
| apart_point_and_line(X_124,V_122)
| apart_point_and_line(X_124,U_123)
| ~ distinct_lines(U_123,V_122)
| ~ distinct_points(X_124,Y_121) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_1251,plain,
! [Y_128,Z_129,X_130] :
( apart_point_and_line(Y_128,Z_129)
| apart_point_and_line(Y_128,'#skF_2')
| apart_point_and_line(X_130,Z_129)
| apart_point_and_line(X_130,'#skF_2')
| ~ distinct_points(X_130,Y_128)
| distinct_lines('#skF_1',Z_129) ),
inference(resolution,[status(thm)],[c_72,c_1096]) ).
tff(c_1278,plain,
! [Z_129] :
( apart_point_and_line(intersection_point('#skF_2','#skF_1'),Z_129)
| apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_129)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| distinct_lines('#skF_1',Z_129) ),
inference(resolution,[status(thm)],[c_30,c_1251]) ).
tff(c_1781,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_1278]) ).
tff(c_283,plain,
! [Z_72,Y_73,X_74] :
( ~ apart_point_and_line(Z_72,Y_73)
| distinct_points(Z_72,intersection_point(X_74,Y_73))
| ~ convergent_lines(X_74,Y_73) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_291,plain,
! [X_74,Y_73] :
( ~ apart_point_and_line(intersection_point(X_74,Y_73),Y_73)
| ~ convergent_lines(X_74,Y_73) ),
inference(resolution,[status(thm)],[c_283,c_2]) ).
tff(c_1786,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1781,c_291]) ).
tff(c_1795,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_1786]) ).
tff(c_1797,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitRight,[status(thm)],[c_1278]) ).
tff(c_1796,plain,
! [Z_129] :
( apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_2','#skF_1'),Z_129)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_129)
| distinct_lines('#skF_1',Z_129) ),
inference(splitRight,[status(thm)],[c_1278]) ).
tff(c_2108,plain,
apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_1796]) ).
tff(c_85,plain,
! [Z_56,X_57,Y_58] :
( ~ apart_point_and_line(Z_56,X_57)
| distinct_points(Z_56,intersection_point(X_57,Y_58))
| ~ convergent_lines(X_57,Y_58) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_93,plain,
! [X_57,Y_58] :
( ~ apart_point_and_line(intersection_point(X_57,Y_58),X_57)
| ~ convergent_lines(X_57,Y_58) ),
inference(resolution,[status(thm)],[c_85,c_2]) ).
tff(c_2115,plain,
~ convergent_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_2108,c_93]) ).
tff(c_2125,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_2115]) ).
tff(c_2127,plain,
~ apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_2'),
inference(splitRight,[status(thm)],[c_1796]) ).
tff(c_2292,plain,
! [Y_179,Y_180,X_181,X_182] :
( apart_point_and_line(Y_179,Y_180)
| apart_point_and_line(Y_179,X_181)
| apart_point_and_line(X_182,Y_180)
| apart_point_and_line(X_182,X_181)
| ~ distinct_points(X_182,Y_179)
| ~ convergent_lines(X_181,Y_180) ),
inference(resolution,[status(thm)],[c_28,c_1096]) ).
tff(c_2570,plain,
! [Y_191,X_192] :
( apart_point_and_line(intersection_point('#skF_2','#skF_1'),Y_191)
| apart_point_and_line(intersection_point('#skF_2','#skF_1'),X_192)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Y_191)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),X_192)
| ~ convergent_lines(X_192,Y_191) ),
inference(resolution,[status(thm)],[c_30,c_2292]) ).
tff(c_2664,plain,
( apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#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_32,c_2570]) ).
tff(c_2745,plain,
( apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1') ),
inference(negUnitSimplification,[status(thm)],[c_1797,c_2127,c_2664]) ).
tff(c_2746,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_2745]) ).
tff(c_2753,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_2746,c_93]) ).
tff(c_2763,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_2753]) ).
tff(c_2764,plain,
apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_1'),
inference(splitRight,[status(thm)],[c_2745]) ).
tff(c_2772,plain,
~ convergent_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_2764,c_291]) ).
tff(c_2782,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_2772]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO201+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % 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
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 4 00:30:17 EDT 2023
% 0.13/0.35 % CPUTime :
% 6.15/2.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.15/2.61
% 6.15/2.61 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.38/2.64
% 6.38/2.64 Inference rules
% 6.38/2.64 ----------------------
% 6.38/2.64 #Ref : 0
% 6.38/2.64 #Sup : 447
% 6.38/2.64 #Fact : 122
% 6.38/2.64 #Define : 0
% 6.38/2.64 #Split : 3
% 6.38/2.64 #Chain : 0
% 6.38/2.64 #Close : 0
% 6.38/2.64
% 6.38/2.64 Ordering : KBO
% 6.38/2.64
% 6.38/2.64 Simplification rules
% 6.38/2.64 ----------------------
% 6.38/2.64 #Subsume : 127
% 6.38/2.64 #Demod : 97
% 6.38/2.64 #Tautology : 93
% 6.38/2.64 #SimpNegUnit : 51
% 6.38/2.64 #BackRed : 0
% 6.38/2.64
% 6.38/2.64 #Partial instantiations: 0
% 6.38/2.64 #Strategies tried : 1
% 6.38/2.64
% 6.38/2.64 Timing (in seconds)
% 6.38/2.64 ----------------------
% 6.38/2.65 Preprocessing : 0.50
% 6.38/2.65 Parsing : 0.28
% 6.38/2.65 CNF conversion : 0.03
% 6.38/2.65 Main loop : 0.96
% 6.38/2.65 Inferencing : 0.34
% 6.38/2.65 Reduction : 0.19
% 6.38/2.65 Demodulation : 0.11
% 6.38/2.65 BG Simplification : 0.03
% 6.38/2.65 Subsumption : 0.34
% 6.38/2.65 Abstraction : 0.03
% 6.38/2.65 MUC search : 0.00
% 6.38/2.65 Cooper : 0.00
% 6.38/2.65 Total : 1.53
% 6.38/2.65 Index Insertion : 0.00
% 6.38/2.65 Index Deletion : 0.00
% 6.38/2.65 Index Matching : 0.00
% 6.38/2.65 BG Taut test : 0.00
%------------------------------------------------------------------------------