TSTP Solution File: GEO200+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO200+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 : n005.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 5.31s 2.34s
% Output : CNFRefutation 5.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 44 ( 17 unt; 8 typ; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 57 ( 19 ~; 32 |; 1 &)
% ( 0 <=>; 5 =>; 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 : 38 (; 38 !; 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_138,negated_conjecture,
~ ! [X,Y] :
( distinct_points(X,Y)
=> ~ distinct_lines(line_connecting(X,Y),line_connecting(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_65,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart4) ).
tff(f_53,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart1) ).
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/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).
tff(f_83,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci1) ).
tff(f_88,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci2) ).
tff(c_32,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_40,plain,
! [Y_45,Z_46,X_47] :
( distinct_points(Y_45,Z_46)
| distinct_points(X_47,Z_46)
| ~ distinct_points(X_47,Y_45) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_44,plain,
! [Z_48] :
( distinct_points('#skF_2',Z_48)
| distinct_points('#skF_1',Z_48) ),
inference(resolution,[status(thm)],[c_32,c_40]) ).
tff(c_8,plain,
! [Y_5,Z_6,X_4] :
( distinct_points(Y_5,Z_6)
| distinct_points(X_4,Z_6)
| ~ distinct_points(X_4,Y_5) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_80,plain,
! [Z_64,Z_65] :
( distinct_points(Z_64,Z_65)
| distinct_points('#skF_2',Z_65)
| distinct_points('#skF_1',Z_64) ),
inference(resolution,[status(thm)],[c_44,c_8]) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_102,plain,
! [Z_66] :
( distinct_points(Z_66,'#skF_2')
| distinct_points('#skF_1',Z_66) ),
inference(resolution,[status(thm)],[c_80,c_2]) ).
tff(c_215,plain,
! [Z_70,Z_71] :
( distinct_points(Z_70,Z_71)
| distinct_points('#skF_1',Z_71)
| distinct_points(Z_70,'#skF_2') ),
inference(resolution,[status(thm)],[c_102,c_8]) ).
tff(c_240,plain,
! [Z_72] :
( distinct_points(Z_72,'#skF_1')
| distinct_points(Z_72,'#skF_2') ),
inference(resolution,[status(thm)],[c_215,c_2]) ).
tff(c_248,plain,
distinct_points('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_240,c_2]) ).
tff(c_30,plain,
distinct_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_2','#skF_1')),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_337,plain,
! [Y_76,V_77,U_78,X_79] :
( apart_point_and_line(Y_76,V_77)
| apart_point_and_line(Y_76,U_78)
| apart_point_and_line(X_79,V_77)
| apart_point_and_line(X_79,U_78)
| ~ distinct_lines(U_78,V_77)
| ~ distinct_points(X_79,Y_76) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_586,plain,
! [Y_88,X_89] :
( apart_point_and_line(Y_88,line_connecting('#skF_2','#skF_1'))
| apart_point_and_line(Y_88,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_89,line_connecting('#skF_2','#skF_1'))
| apart_point_and_line(X_89,line_connecting('#skF_1','#skF_2'))
| ~ distinct_points(X_89,Y_88) ),
inference(resolution,[status(thm)],[c_30,c_337]) ).
tff(c_670,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_2','#skF_1'))
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_32,c_586]) ).
tff(c_1293,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_670]) ).
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_83]) ).
tff(c_1300,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1293,c_14]) ).
tff(c_1306,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_1300]) ).
tff(c_1307,plain,
( apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1'))
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2',line_connecting('#skF_2','#skF_1')) ),
inference(splitRight,[status(thm)],[c_670]) ).
tff(c_1643,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_2','#skF_1')),
inference(splitLeft,[status(thm)],[c_1307]) ).
tff(c_1650,plain,
~ distinct_points('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_1643,c_14]) ).
tff(c_1656,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_248,c_1650]) ).
tff(c_1657,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1')) ),
inference(splitRight,[status(thm)],[c_1307]) ).
tff(c_1659,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1')),
inference(splitLeft,[status(thm)],[c_1657]) ).
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_88]) ).
tff(c_1668,plain,
~ distinct_points('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_1659,c_16]) ).
tff(c_1674,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_248,c_1668]) ).
tff(c_1675,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_1657]) ).
tff(c_1683,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1675,c_16]) ).
tff(c_1689,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_1683]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO200+1 : 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
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 4 00:12:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 5.31/2.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.31/2.34
% 5.31/2.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.31/2.38
% 5.31/2.38 Inference rules
% 5.31/2.38 ----------------------
% 5.31/2.38 #Ref : 0
% 5.31/2.38 #Sup : 207
% 5.31/2.38 #Fact : 102
% 5.31/2.38 #Define : 0
% 5.31/2.38 #Split : 4
% 5.31/2.38 #Chain : 0
% 5.31/2.38 #Close : 0
% 5.31/2.38
% 5.31/2.38 Ordering : KBO
% 5.31/2.38
% 5.31/2.38 Simplification rules
% 5.31/2.38 ----------------------
% 5.31/2.38 #Subsume : 105
% 5.31/2.38 #Demod : 59
% 5.31/2.38 #Tautology : 53
% 5.31/2.38 #SimpNegUnit : 36
% 5.31/2.38 #BackRed : 0
% 5.31/2.38
% 5.31/2.38 #Partial instantiations: 0
% 5.31/2.38 #Strategies tried : 1
% 5.31/2.38
% 5.31/2.38 Timing (in seconds)
% 5.31/2.38 ----------------------
% 5.31/2.38 Preprocessing : 0.49
% 5.31/2.38 Parsing : 0.28
% 5.31/2.38 CNF conversion : 0.03
% 5.31/2.38 Main loop : 0.70
% 5.31/2.38 Inferencing : 0.27
% 5.31/2.38 Reduction : 0.16
% 5.31/2.38 Demodulation : 0.09
% 5.31/2.38 BG Simplification : 0.03
% 5.31/2.38 Subsumption : 0.20
% 5.31/2.38 Abstraction : 0.03
% 5.31/2.38 MUC search : 0.00
% 5.31/2.38 Cooper : 0.00
% 5.31/2.38 Total : 1.24
% 5.31/2.38 Index Insertion : 0.00
% 5.31/2.38 Index Deletion : 0.00
% 5.31/2.38 Index Matching : 0.00
% 5.31/2.38 BG Taut test : 0.00
%------------------------------------------------------------------------------