TSTP Solution File: GEO189+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO189+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/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 : n007.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 5.16s 2.50s
% Output : CNFRefutation 5.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 46 ( 17 unt; 9 typ; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 69 ( 21 ~; 38 |; 4 &)
% ( 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 : 44 (; 44 !; 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_54,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart1) ).
tff(f_146,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(Y,line_connecting(X,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
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/GEO006+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/GEO006+0.ax',cu1) ).
tff(f_84,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci1) ).
tff(f_89,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci2) ).
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/GEO006+0.ax',ceq1) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_38,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_36,plain,
distinct_points('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_30,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_3')),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_89,plain,
! [X_54,Z_55,Y_56] :
( apart_point_and_line(X_54,Z_55)
| distinct_lines(Y_56,Z_55)
| ~ apart_point_and_line(X_54,Y_56) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_92,plain,
! [Z_55] :
( apart_point_and_line('#skF_2',Z_55)
| distinct_lines(line_connecting('#skF_1','#skF_3'),Z_55) ),
inference(resolution,[status(thm)],[c_30,c_89]) ).
tff(c_143,plain,
! [Y_68,V_69,U_70,X_71] :
( apart_point_and_line(Y_68,V_69)
| apart_point_and_line(Y_68,U_70)
| apart_point_and_line(X_71,V_69)
| apart_point_and_line(X_71,U_70)
| ~ distinct_lines(U_70,V_69)
| ~ distinct_points(X_71,Y_68) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1396,plain,
! [Y_124,Z_125,X_126] :
( apart_point_and_line(Y_124,Z_125)
| apart_point_and_line(Y_124,line_connecting('#skF_1','#skF_3'))
| apart_point_and_line(X_126,Z_125)
| apart_point_and_line(X_126,line_connecting('#skF_1','#skF_3'))
| ~ distinct_points(X_126,Y_124)
| apart_point_and_line('#skF_2',Z_125) ),
inference(resolution,[status(thm)],[c_92,c_143]) ).
tff(c_1613,plain,
! [Z_125] :
( apart_point_and_line('#skF_3',Z_125)
| apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_1',Z_125)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_2',Z_125) ),
inference(resolution,[status(thm)],[c_36,c_1396]) ).
tff(c_2379,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_1613]) ).
tff(c_14,plain,
! [X_13,Y_14] :
( ~ apart_point_and_line(X_13,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_2386,plain,
~ distinct_points('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_2379,c_14]) ).
tff(c_2392,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_2386]) ).
tff(c_2393,plain,
! [Z_125] :
( apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_3',Z_125)
| apart_point_and_line('#skF_1',Z_125)
| apart_point_and_line('#skF_2',Z_125) ),
inference(splitRight,[status(thm)],[c_1613]) ).
tff(c_2983,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_2393]) ).
tff(c_16,plain,
! [Y_16,X_15] :
( ~ apart_point_and_line(Y_16,line_connecting(X_15,Y_16))
| ~ distinct_points(X_15,Y_16) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_2990,plain,
~ distinct_points('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_2983,c_16]) ).
tff(c_2996,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_2990]) ).
tff(c_3009,plain,
! [Z_167] :
( apart_point_and_line('#skF_3',Z_167)
| apart_point_and_line('#skF_1',Z_167)
| apart_point_and_line('#skF_2',Z_167) ),
inference(splitRight,[status(thm)],[c_2393]) ).
tff(c_24,plain,
! [Z_27,Y_26,X_25] :
( apart_point_and_line(Z_27,Y_26)
| distinct_points(X_25,Z_27)
| ~ apart_point_and_line(X_25,Y_26) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_3043,plain,
! [Z_168,Z_169] :
( apart_point_and_line(Z_168,Z_169)
| distinct_points('#skF_2',Z_168)
| apart_point_and_line('#skF_3',Z_169)
| apart_point_and_line('#skF_1',Z_169) ),
inference(resolution,[status(thm)],[c_3009,c_24]) ).
tff(c_32,plain,
~ apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_3109,plain,
! [Z_168] :
( apart_point_and_line(Z_168,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_2',Z_168)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_3043,c_32]) ).
tff(c_3271,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_3109]) ).
tff(c_3278,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_3271,c_14]) ).
tff(c_3284,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_3278]) ).
tff(c_3289,plain,
! [Z_177] :
( apart_point_and_line(Z_177,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_2',Z_177) ),
inference(splitRight,[status(thm)],[c_3109]) ).
tff(c_3300,plain,
( ~ distinct_points('#skF_1','#skF_2')
| distinct_points('#skF_2','#skF_2') ),
inference(resolution,[status(thm)],[c_3289,c_16]) ).
tff(c_3322,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_3300]) ).
tff(c_3324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_3322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO189+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % 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
% 0.15/0.36 % Computer : n007.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 00:19:09 EDT 2023
% 0.15/0.36 % CPUTime :
% 5.16/2.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.16/2.51
% 5.16/2.51 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.56/2.54
% 5.56/2.54 Inference rules
% 5.56/2.54 ----------------------
% 5.56/2.54 #Ref : 0
% 5.56/2.54 #Sup : 438
% 5.56/2.54 #Fact : 178
% 5.56/2.54 #Define : 0
% 5.56/2.54 #Split : 3
% 5.56/2.54 #Chain : 0
% 5.56/2.54 #Close : 0
% 5.56/2.54
% 5.56/2.54 Ordering : KBO
% 5.56/2.54
% 5.56/2.54 Simplification rules
% 5.56/2.54 ----------------------
% 5.56/2.54 #Subsume : 184
% 5.56/2.54 #Demod : 176
% 5.56/2.54 #Tautology : 162
% 5.56/2.54 #SimpNegUnit : 62
% 5.56/2.54 #BackRed : 0
% 5.56/2.54
% 5.56/2.54 #Partial instantiations: 0
% 5.56/2.54 #Strategies tried : 1
% 5.56/2.54
% 5.56/2.54 Timing (in seconds)
% 5.56/2.54 ----------------------
% 5.56/2.55 Preprocessing : 0.47
% 5.56/2.55 Parsing : 0.26
% 5.56/2.55 CNF conversion : 0.03
% 5.56/2.55 Main loop : 0.98
% 5.56/2.55 Inferencing : 0.36
% 5.56/2.55 Reduction : 0.22
% 5.56/2.55 Demodulation : 0.13
% 5.56/2.55 BG Simplification : 0.03
% 5.56/2.55 Subsumption : 0.32
% 5.56/2.55 Abstraction : 0.03
% 5.56/2.55 MUC search : 0.00
% 5.56/2.55 Cooper : 0.00
% 5.56/2.55 Total : 1.51
% 5.56/2.55 Index Insertion : 0.00
% 5.56/2.55 Index Deletion : 0.00
% 5.56/2.55 Index Matching : 0.00
% 5.56/2.55 BG Taut test : 0.00
%------------------------------------------------------------------------------