TSTP Solution File: GEO205+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO205+1 : 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 : n004.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 10:38:39 EDT 2023
% Result : Theorem 9.95s 3.44s
% Output : CNFRefutation 10.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 50 ( 18 unt; 9 typ; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 73 ( 24 ~; 40 |; 3 &)
% ( 0 <=>; 6 =>; 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 : 45 (; 45 !; 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_145,negated_conjecture,
~ ! [X,Y,Z] :
( ( convergent_lines(X,Y)
& ~ distinct_lines(Y,Z) )
=> ( convergent_lines(X,Z)
& ~ distinct_points(intersection_point(X,Y),intersection_point(X,Z)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_132,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq3) ).
tff(f_61,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_113,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/GEO006+0.ax',cu1) ).
tff(f_100,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci4) ).
tff(f_126,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/GEO006+0.ax',ceq2) ).
tff(f_95,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).
tff(c_30,plain,
( distinct_points(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3'))
| ~ convergent_lines('#skF_1','#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_42,plain,
~ convergent_lines('#skF_1','#skF_3'),
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_34,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_43,plain,
! [X_45,Z_46,Y_47] :
( convergent_lines(X_45,Z_46)
| distinct_lines(Y_47,Z_46)
| ~ convergent_lines(X_45,Y_47) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_47,plain,
! [Z_48] :
( convergent_lines('#skF_1',Z_48)
| distinct_lines('#skF_2',Z_48) ),
inference(resolution,[status(thm)],[c_34,c_43]) ).
tff(c_32,plain,
~ distinct_lines('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_54,plain,
convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_47,c_32]) ).
tff(c_60,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42,c_54]) ).
tff(c_62,plain,
convergent_lines('#skF_1','#skF_3'),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_61,plain,
distinct_points(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_147,plain,
! [X_63,Z_64,Y_65] :
( convergent_lines(X_63,Z_64)
| distinct_lines(Y_65,Z_64)
| ~ convergent_lines(X_63,Y_65) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_174,plain,
! [Z_64] :
( convergent_lines('#skF_1',Z_64)
| distinct_lines('#skF_2',Z_64) ),
inference(resolution,[status(thm)],[c_34,c_147]) ).
tff(c_406,plain,
! [Y_87,V_88,U_89,X_90] :
( apart_point_and_line(Y_87,V_88)
| apart_point_and_line(Y_87,U_89)
| apart_point_and_line(X_90,V_88)
| apart_point_and_line(X_90,U_89)
| ~ distinct_lines(U_89,V_88)
| ~ distinct_points(X_90,Y_87) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_868,plain,
! [Y_110,Z_111,X_112] :
( apart_point_and_line(Y_110,Z_111)
| apart_point_and_line(Y_110,'#skF_2')
| apart_point_and_line(X_112,Z_111)
| apart_point_and_line(X_112,'#skF_2')
| ~ distinct_points(X_112,Y_110)
| convergent_lines('#skF_1',Z_111) ),
inference(resolution,[status(thm)],[c_174,c_406]) ).
tff(c_886,plain,
! [Z_111] :
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),Z_111)
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_111)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| convergent_lines('#skF_1',Z_111) ),
inference(resolution,[status(thm)],[c_61,c_868]) ).
tff(c_1283,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_886]) ).
tff(c_20,plain,
! [X_19,Y_20] :
( ~ apart_point_and_line(intersection_point(X_19,Y_20),Y_20)
| ~ convergent_lines(X_19,Y_20) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_1290,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1283,c_20]) ).
tff(c_1296,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_1290]) ).
tff(c_1297,plain,
! [Z_111] :
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),Z_111)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_111)
| convergent_lines('#skF_1',Z_111) ),
inference(splitRight,[status(thm)],[c_886]) ).
tff(c_7708,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_1297]) ).
tff(c_26,plain,
! [X_28,Z_30,Y_29] :
( apart_point_and_line(X_28,Z_30)
| distinct_lines(Y_29,Z_30)
| ~ apart_point_and_line(X_28,Y_29) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_7741,plain,
! [Z_378] :
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),Z_378)
| distinct_lines('#skF_2',Z_378) ),
inference(resolution,[status(thm)],[c_7708,c_26]) ).
tff(c_7761,plain,
( ~ convergent_lines('#skF_1','#skF_3')
| distinct_lines('#skF_2','#skF_3') ),
inference(resolution,[status(thm)],[c_7741,c_20]) ).
tff(c_7771,plain,
distinct_lines('#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_62,c_7761]) ).
tff(c_7773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32,c_7771]) ).
tff(c_8151,plain,
! [Z_393] :
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),Z_393)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_393)
| convergent_lines('#skF_1',Z_393) ),
inference(splitRight,[status(thm)],[c_1297]) ).
tff(c_18,plain,
! [X_17,Y_18] :
( ~ apart_point_and_line(intersection_point(X_17,Y_18),X_17)
| ~ convergent_lines(X_17,Y_18) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_8165,plain,
( ~ convergent_lines('#skF_1','#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1')
| convergent_lines('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_8151,c_18]) ).
tff(c_8187,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1')
| convergent_lines('#skF_1','#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_8165]) ).
tff(c_8188,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_6,c_8187]) ).
tff(c_8201,plain,
~ convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_8188,c_18]) ).
tff(c_8207,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62,c_8201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO205+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.13 % 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
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 4 00:40:41 EDT 2023
% 0.14/0.34 % CPUTime :
% 9.95/3.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.95/3.44
% 9.95/3.44 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.31/3.47
% 10.31/3.47 Inference rules
% 10.31/3.47 ----------------------
% 10.31/3.47 #Ref : 0
% 10.31/3.47 #Sup : 1256
% 10.31/3.47 #Fact : 390
% 10.31/3.47 #Define : 0
% 10.31/3.47 #Split : 7
% 10.31/3.47 #Chain : 0
% 10.31/3.47 #Close : 0
% 10.31/3.47
% 10.31/3.47 Ordering : KBO
% 10.31/3.47
% 10.31/3.47 Simplification rules
% 10.31/3.47 ----------------------
% 10.31/3.47 #Subsume : 465
% 10.31/3.48 #Demod : 299
% 10.31/3.48 #Tautology : 287
% 10.31/3.48 #SimpNegUnit : 179
% 10.31/3.48 #BackRed : 0
% 10.31/3.48
% 10.31/3.48 #Partial instantiations: 0
% 10.31/3.48 #Strategies tried : 1
% 10.31/3.48
% 10.31/3.48 Timing (in seconds)
% 10.31/3.48 ----------------------
% 10.31/3.48 Preprocessing : 0.47
% 10.31/3.48 Parsing : 0.26
% 10.31/3.48 CNF conversion : 0.03
% 10.31/3.48 Main loop : 1.94
% 10.31/3.48 Inferencing : 0.71
% 10.31/3.48 Reduction : 0.39
% 10.31/3.48 Demodulation : 0.23
% 10.31/3.48 BG Simplification : 0.05
% 10.31/3.48 Subsumption : 0.68
% 10.31/3.48 Abstraction : 0.05
% 10.31/3.48 MUC search : 0.00
% 10.31/3.48 Cooper : 0.00
% 10.31/3.48 Total : 2.47
% 10.31/3.48 Index Insertion : 0.00
% 10.31/3.48 Index Deletion : 0.00
% 10.31/3.48 Index Matching : 0.00
% 10.31/3.48 BG Taut test : 0.00
%------------------------------------------------------------------------------