TSTP Solution File: GEO196+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO196+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 : n001.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 10:38:35 EDT 2023
% Result : Theorem 12.45s 4.54s
% Output : CNFRefutation 12.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 75 ( 27 unt; 10 typ; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 143 ( 47 ~; 84 |; 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 88 (; 88 !; 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_61,axiom,
! [X] : ~ distinct_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart2) ).
tff(f_148,negated_conjecture,
~ ! [X,Y,U,V] :
( ( convergent_lines(X,Y)
& convergent_lines(U,V)
& ~ apart_point_and_line(intersection_point(X,Y),U)
& ~ apart_point_and_line(intersection_point(X,Y),V) )
=> ( ~ apart_point_and_line(intersection_point(U,V),X)
& ~ apart_point_and_line(intersection_point(U,V),Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
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/sandbox/benchmark/Axioms/GEO008+0.ax',ceq1) ).
tff(f_129,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq3) ).
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_99,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/sandbox/benchmark/Axioms/GEO008+0.ax',con2) ).
tff(f_58,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
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(c_4,plain,
! [X_2] : ~ distinct_lines(X_2,X_2),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_38,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_32,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_4'),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_36,plain,
convergent_lines('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_30,plain,
( apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_55,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_91,plain,
! [Z_51,Y_52,X_53] :
( apart_point_and_line(Z_51,Y_52)
| distinct_points(X_53,Z_51)
| ~ apart_point_and_line(X_53,Y_52) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_97,plain,
! [Z_51] :
( apart_point_and_line(Z_51,'#skF_1')
| distinct_points(intersection_point('#skF_3','#skF_4'),Z_51) ),
inference(resolution,[status(thm)],[c_55,c_91]) ).
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_129]) ).
tff(c_965,plain,
! [Y_118,V_119,U_120,X_121] :
( apart_point_and_line(Y_118,V_119)
| apart_point_and_line(Y_118,U_120)
| apart_point_and_line(X_121,V_119)
| apart_point_and_line(X_121,U_120)
| ~ distinct_lines(U_120,V_119)
| ~ distinct_points(X_121,Y_118) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_2030,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_965]) ).
tff(c_4342,plain,
! [Z_274,Y_275,X_276] :
( apart_point_and_line(Z_274,Y_275)
| apart_point_and_line(Z_274,X_276)
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),Y_275)
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),X_276)
| ~ convergent_lines(X_276,Y_275)
| apart_point_and_line(Z_274,'#skF_1') ),
inference(resolution,[status(thm)],[c_97,c_2030]) ).
tff(c_4510,plain,
! [Z_274] :
( apart_point_and_line(Z_274,'#skF_4')
| apart_point_and_line(Z_274,'#skF_3')
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4')
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_3')
| apart_point_and_line(Z_274,'#skF_1') ),
inference(resolution,[status(thm)],[c_36,c_4342]) ).
tff(c_4731,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_3'),
inference(splitLeft,[status(thm)],[c_4510]) ).
tff(c_330,plain,
! [Z_74,X_75,Y_76] :
( ~ apart_point_and_line(Z_74,X_75)
| distinct_points(Z_74,intersection_point(X_75,Y_76))
| ~ convergent_lines(X_75,Y_76) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_338,plain,
! [X_75,Y_76] :
( ~ apart_point_and_line(intersection_point(X_75,Y_76),X_75)
| ~ convergent_lines(X_75,Y_76) ),
inference(resolution,[status(thm)],[c_330,c_2]) ).
tff(c_4738,plain,
~ convergent_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_4731,c_338]) ).
tff(c_4748,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_4738]) ).
tff(c_4749,plain,
! [Z_274] :
( apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4')
| apart_point_and_line(Z_274,'#skF_4')
| apart_point_and_line(Z_274,'#skF_3')
| apart_point_and_line(Z_274,'#skF_1') ),
inference(splitRight,[status(thm)],[c_4510]) ).
tff(c_8199,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4'),
inference(splitLeft,[status(thm)],[c_4749]) ).
tff(c_540,plain,
! [Z_89,Y_90,X_91] :
( ~ apart_point_and_line(Z_89,Y_90)
| distinct_points(Z_89,intersection_point(X_91,Y_90))
| ~ convergent_lines(X_91,Y_90) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_548,plain,
! [X_91,Y_90] :
( ~ apart_point_and_line(intersection_point(X_91,Y_90),Y_90)
| ~ convergent_lines(X_91,Y_90) ),
inference(resolution,[status(thm)],[c_540,c_2]) ).
tff(c_8214,plain,
~ convergent_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_8199,c_548]) ).
tff(c_8234,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_8214]) ).
tff(c_8247,plain,
! [Z_404] :
( apart_point_and_line(Z_404,'#skF_4')
| apart_point_and_line(Z_404,'#skF_3')
| apart_point_and_line(Z_404,'#skF_1') ),
inference(splitRight,[status(thm)],[c_4749]) ).
tff(c_34,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_8277,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_4')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1') ),
inference(resolution,[status(thm)],[c_8247,c_34]) ).
tff(c_8293,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_32,c_8277]) ).
tff(c_8308,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_8293,c_338]) ).
tff(c_8328,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_8308]) ).
tff(c_8329,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_2'),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_8427,plain,
! [Z_417,Y_418,X_419] :
( apart_point_and_line(Z_417,Y_418)
| distinct_points(X_419,Z_417)
| ~ apart_point_and_line(X_419,Y_418) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_8433,plain,
! [Z_417] :
( apart_point_and_line(Z_417,'#skF_2')
| distinct_points(intersection_point('#skF_3','#skF_4'),Z_417) ),
inference(resolution,[status(thm)],[c_8329,c_8427]) ).
tff(c_9393,plain,
! [Y_489,V_490,U_491,X_492] :
( apart_point_and_line(Y_489,V_490)
| apart_point_and_line(Y_489,U_491)
| apart_point_and_line(X_492,V_490)
| apart_point_and_line(X_492,U_491)
| ~ distinct_lines(U_491,V_490)
| ~ distinct_points(X_492,Y_489) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_10572,plain,
! [Y_542,Y_543,X_544,X_545] :
( apart_point_and_line(Y_542,Y_543)
| apart_point_and_line(Y_542,X_544)
| apart_point_and_line(X_545,Y_543)
| apart_point_and_line(X_545,X_544)
| ~ distinct_points(X_545,Y_542)
| ~ convergent_lines(X_544,Y_543) ),
inference(resolution,[status(thm)],[c_28,c_9393]) ).
tff(c_13309,plain,
! [Z_659,Y_660,X_661] :
( apart_point_and_line(Z_659,Y_660)
| apart_point_and_line(Z_659,X_661)
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),Y_660)
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),X_661)
| ~ convergent_lines(X_661,Y_660)
| apart_point_and_line(Z_659,'#skF_2') ),
inference(resolution,[status(thm)],[c_8433,c_10572]) ).
tff(c_13549,plain,
! [Z_659] :
( apart_point_and_line(Z_659,'#skF_4')
| apart_point_and_line(Z_659,'#skF_3')
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4')
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_3')
| apart_point_and_line(Z_659,'#skF_2') ),
inference(resolution,[status(thm)],[c_36,c_13309]) ).
tff(c_13701,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_3'),
inference(splitLeft,[status(thm)],[c_13549]) ).
tff(c_8570,plain,
! [Z_432,X_433,Y_434] :
( ~ apart_point_and_line(Z_432,X_433)
| distinct_points(Z_432,intersection_point(X_433,Y_434))
| ~ convergent_lines(X_433,Y_434) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_8578,plain,
! [X_433,Y_434] :
( ~ apart_point_and_line(intersection_point(X_433,Y_434),X_433)
| ~ convergent_lines(X_433,Y_434) ),
inference(resolution,[status(thm)],[c_8570,c_2]) ).
tff(c_13708,plain,
~ convergent_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_13701,c_8578]) ).
tff(c_13718,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_13708]) ).
tff(c_13719,plain,
! [Z_659] :
( apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4')
| apart_point_and_line(Z_659,'#skF_4')
| apart_point_and_line(Z_659,'#skF_3')
| apart_point_and_line(Z_659,'#skF_2') ),
inference(splitRight,[status(thm)],[c_13549]) ).
tff(c_17320,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4'),
inference(splitLeft,[status(thm)],[c_13719]) ).
tff(c_8688,plain,
! [Z_444,Y_445,X_446] :
( ~ apart_point_and_line(Z_444,Y_445)
| distinct_points(Z_444,intersection_point(X_446,Y_445))
| ~ convergent_lines(X_446,Y_445) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_8696,plain,
! [X_446,Y_445] :
( ~ apart_point_and_line(intersection_point(X_446,Y_445),Y_445)
| ~ convergent_lines(X_446,Y_445) ),
inference(resolution,[status(thm)],[c_8688,c_2]) ).
tff(c_17335,plain,
~ convergent_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_17320,c_8696]) ).
tff(c_17357,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_17335]) ).
tff(c_17370,plain,
! [Z_792] :
( apart_point_and_line(Z_792,'#skF_4')
| apart_point_and_line(Z_792,'#skF_3')
| apart_point_and_line(Z_792,'#skF_2') ),
inference(splitRight,[status(thm)],[c_13719]) ).
tff(c_26,plain,
! [X_26,Z_28,Y_27] :
( apart_point_and_line(X_26,Z_28)
| distinct_lines(Y_27,Z_28)
| ~ apart_point_and_line(X_26,Y_27) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_17437,plain,
! [Z_795,Z_796] :
( apart_point_and_line(Z_795,Z_796)
| distinct_lines('#skF_2',Z_796)
| apart_point_and_line(Z_795,'#skF_4')
| apart_point_and_line(Z_795,'#skF_3') ),
inference(resolution,[status(thm)],[c_17370,c_26]) ).
tff(c_17512,plain,
! [Z_796] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_796)
| distinct_lines('#skF_2',Z_796)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_4') ),
inference(resolution,[status(thm)],[c_17437,c_34]) ).
tff(c_17543,plain,
! [Z_797] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_797)
| distinct_lines('#skF_2',Z_797) ),
inference(negUnitSimplification,[status(thm)],[c_32,c_17512]) ).
tff(c_17567,plain,
( ~ convergent_lines('#skF_1','#skF_2')
| distinct_lines('#skF_2','#skF_2') ),
inference(resolution,[status(thm)],[c_17543,c_8696]) ).
tff(c_17596,plain,
distinct_lines('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_17567]) ).
tff(c_17598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_17596]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO196+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
% 0.15/0.36 % Computer : n001.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 4 01:02:41 EDT 2023
% 0.15/0.36 % CPUTime :
% 12.45/4.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.45/4.55
% 12.45/4.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.65/4.59
% 12.65/4.59 Inference rules
% 12.65/4.59 ----------------------
% 12.65/4.59 #Ref : 0
% 12.65/4.59 #Sup : 3065
% 12.65/4.59 #Fact : 748
% 12.65/4.59 #Define : 0
% 12.65/4.59 #Split : 5
% 12.65/4.59 #Chain : 0
% 12.65/4.59 #Close : 0
% 12.65/4.59
% 12.65/4.59 Ordering : KBO
% 12.65/4.59
% 12.65/4.59 Simplification rules
% 12.65/4.59 ----------------------
% 12.65/4.59 #Subsume : 787
% 12.65/4.59 #Demod : 654
% 12.65/4.59 #Tautology : 625
% 12.65/4.59 #SimpNegUnit : 278
% 12.65/4.59 #BackRed : 0
% 12.65/4.59
% 12.65/4.59 #Partial instantiations: 0
% 12.65/4.59 #Strategies tried : 1
% 12.65/4.59
% 12.65/4.59 Timing (in seconds)
% 12.65/4.59 ----------------------
% 12.65/4.59 Preprocessing : 0.49
% 12.65/4.59 Parsing : 0.27
% 12.65/4.59 CNF conversion : 0.03
% 12.65/4.59 Main loop : 3.02
% 12.65/4.59 Inferencing : 0.99
% 12.65/4.59 Reduction : 0.61
% 12.65/4.59 Demodulation : 0.35
% 12.65/4.59 BG Simplification : 0.06
% 12.65/4.59 Subsumption : 1.17
% 12.65/4.59 Abstraction : 0.06
% 12.65/4.59 MUC search : 0.00
% 12.65/4.59 Cooper : 0.00
% 12.65/4.59 Total : 3.57
% 12.65/4.59 Index Insertion : 0.00
% 12.65/4.59 Index Deletion : 0.00
% 12.65/4.59 Index Matching : 0.00
% 12.65/4.60 BG Taut test : 0.00
%------------------------------------------------------------------------------