TSTP Solution File: GEO197+2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO197+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 : n011.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 10:38:36 EDT 2023
% Result : Theorem 10.77s 3.60s
% Output : CNFRefutation 10.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 52 ( 19 unt; 9 typ; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 88 ( 28 ~; 49 |; 4 &)
% ( 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 : 59 (; 59 !; 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_61,axiom,
! [X] : ~ distinct_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart2) ).
tff(f_144,negated_conjecture,
~ ! [X,Y,Z] :
( ( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z)
& ~ apart_point_and_line(intersection_point(X,Y),Z) )
=> ~ apart_point_and_line(intersection_point(Z,Y),X) ),
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_144]) ).
tff(c_36,plain,
convergent_lines('#skF_3','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_30,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_2'),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_89,plain,
! [Z_45,Y_46,X_47] :
( apart_point_and_line(Z_45,Y_46)
| distinct_points(X_47,Z_45)
| ~ apart_point_and_line(X_47,Y_46) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_92,plain,
! [Z_45] :
( apart_point_and_line(Z_45,'#skF_1')
| distinct_points(intersection_point('#skF_3','#skF_2'),Z_45) ),
inference(resolution,[status(thm)],[c_30,c_89]) ).
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_1050,plain,
! [Y_127,V_128,U_129,X_130] :
( apart_point_and_line(Y_127,V_128)
| apart_point_and_line(Y_127,U_129)
| apart_point_and_line(X_130,V_128)
| apart_point_and_line(X_130,U_129)
| ~ distinct_lines(U_129,V_128)
| ~ distinct_points(X_130,Y_127) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1995,plain,
! [Y_170,Y_171,X_172,X_173] :
( apart_point_and_line(Y_170,Y_171)
| apart_point_and_line(Y_170,X_172)
| apart_point_and_line(X_173,Y_171)
| apart_point_and_line(X_173,X_172)
| ~ distinct_points(X_173,Y_170)
| ~ convergent_lines(X_172,Y_171) ),
inference(resolution,[status(thm)],[c_28,c_1050]) ).
tff(c_3595,plain,
! [Z_247,Y_248,X_249] :
( apart_point_and_line(Z_247,Y_248)
| apart_point_and_line(Z_247,X_249)
| apart_point_and_line(intersection_point('#skF_3','#skF_2'),Y_248)
| apart_point_and_line(intersection_point('#skF_3','#skF_2'),X_249)
| ~ convergent_lines(X_249,Y_248)
| apart_point_and_line(Z_247,'#skF_1') ),
inference(resolution,[status(thm)],[c_92,c_1995]) ).
tff(c_3769,plain,
! [Z_247] :
( apart_point_and_line(Z_247,'#skF_2')
| apart_point_and_line(Z_247,'#skF_3')
| apart_point_and_line(intersection_point('#skF_3','#skF_2'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_3','#skF_2'),'#skF_3')
| apart_point_and_line(Z_247,'#skF_1') ),
inference(resolution,[status(thm)],[c_36,c_3595]) ).
tff(c_3987,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_2'),'#skF_3'),
inference(splitLeft,[status(thm)],[c_3769]) ).
tff(c_355,plain,
! [Z_76,X_77,Y_78] :
( ~ apart_point_and_line(Z_76,X_77)
| distinct_points(Z_76,intersection_point(X_77,Y_78))
| ~ convergent_lines(X_77,Y_78) ),
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_363,plain,
! [X_77,Y_78] :
( ~ apart_point_and_line(intersection_point(X_77,Y_78),X_77)
| ~ convergent_lines(X_77,Y_78) ),
inference(resolution,[status(thm)],[c_355,c_2]) ).
tff(c_3994,plain,
~ convergent_lines('#skF_3','#skF_2'),
inference(resolution,[status(thm)],[c_3987,c_363]) ).
tff(c_4004,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_3994]) ).
tff(c_4005,plain,
! [Z_247] :
( apart_point_and_line(intersection_point('#skF_3','#skF_2'),'#skF_2')
| apart_point_and_line(Z_247,'#skF_2')
| apart_point_and_line(Z_247,'#skF_3')
| apart_point_and_line(Z_247,'#skF_1') ),
inference(splitRight,[status(thm)],[c_3769]) ).
tff(c_8530,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_4005]) ).
tff(c_884,plain,
! [Z_111,Y_112,X_113] :
( ~ apart_point_and_line(Z_111,Y_112)
| distinct_points(Z_111,intersection_point(X_113,Y_112))
| ~ convergent_lines(X_113,Y_112) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_892,plain,
! [X_113,Y_112] :
( ~ apart_point_and_line(intersection_point(X_113,Y_112),Y_112)
| ~ convergent_lines(X_113,Y_112) ),
inference(resolution,[status(thm)],[c_884,c_2]) ).
tff(c_8549,plain,
~ convergent_lines('#skF_3','#skF_2'),
inference(resolution,[status(thm)],[c_8530,c_892]) ).
tff(c_8575,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_8549]) ).
tff(c_8588,plain,
! [Z_426] :
( apart_point_and_line(Z_426,'#skF_2')
| apart_point_and_line(Z_426,'#skF_3')
| apart_point_and_line(Z_426,'#skF_1') ),
inference(splitRight,[status(thm)],[c_4005]) ).
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_9350,plain,
! [Z_451,Z_452] :
( apart_point_and_line(Z_451,Z_452)
| distinct_lines('#skF_2',Z_452)
| apart_point_and_line(Z_451,'#skF_3')
| apart_point_and_line(Z_451,'#skF_1') ),
inference(resolution,[status(thm)],[c_8588,c_26]) ).
tff(c_32,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_9468,plain,
! [Z_452] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_452)
| distinct_lines('#skF_2',Z_452)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1') ),
inference(resolution,[status(thm)],[c_9350,c_32]) ).
tff(c_9921,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_9468]) ).
tff(c_9940,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_9921,c_363]) ).
tff(c_9966,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_9940]) ).
tff(c_9971,plain,
! [Z_468] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_468)
| distinct_lines('#skF_2',Z_468) ),
inference(splitRight,[status(thm)],[c_9468]) ).
tff(c_9994,plain,
( ~ convergent_lines('#skF_1','#skF_2')
| distinct_lines('#skF_2','#skF_2') ),
inference(resolution,[status(thm)],[c_9971,c_892]) ).
tff(c_10038,plain,
distinct_lines('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_9994]) ).
tff(c_10040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_10038]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO197+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % 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 : n011.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
% 0.15/0.37 % DateTime : Fri Aug 4 00:39:06 EDT 2023
% 0.15/0.37 % CPUTime :
% 10.77/3.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.77/3.60
% 10.77/3.60 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.77/3.64
% 10.77/3.64 Inference rules
% 10.77/3.64 ----------------------
% 10.77/3.64 #Ref : 0
% 10.77/3.64 #Sup : 1775
% 10.77/3.64 #Fact : 410
% 10.77/3.64 #Define : 0
% 10.77/3.64 #Split : 3
% 10.77/3.64 #Chain : 0
% 10.77/3.64 #Close : 0
% 10.77/3.64
% 10.77/3.64 Ordering : KBO
% 10.77/3.64
% 10.77/3.64 Simplification rules
% 10.77/3.64 ----------------------
% 10.77/3.64 #Subsume : 449
% 10.77/3.64 #Demod : 376
% 10.77/3.64 #Tautology : 357
% 10.77/3.64 #SimpNegUnit : 170
% 10.77/3.64 #BackRed : 0
% 10.77/3.64
% 10.77/3.64 #Partial instantiations: 0
% 10.77/3.64 #Strategies tried : 1
% 10.77/3.64
% 10.77/3.64 Timing (in seconds)
% 10.77/3.64 ----------------------
% 10.77/3.64 Preprocessing : 0.49
% 10.77/3.64 Parsing : 0.27
% 10.77/3.64 CNF conversion : 0.03
% 10.77/3.64 Main loop : 2.07
% 10.77/3.64 Inferencing : 0.76
% 10.77/3.64 Reduction : 0.45
% 10.77/3.64 Demodulation : 0.25
% 10.77/3.64 BG Simplification : 0.05
% 10.77/3.64 Subsumption : 0.69
% 10.77/3.64 Abstraction : 0.06
% 10.77/3.64 MUC search : 0.00
% 10.77/3.64 Cooper : 0.00
% 10.77/3.64 Total : 2.62
% 10.77/3.64 Index Insertion : 0.00
% 10.77/3.64 Index Deletion : 0.00
% 10.77/3.64 Index Matching : 0.00
% 10.77/3.64 BG Taut test : 0.00
%------------------------------------------------------------------------------