TSTP Solution File: GEO202+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO202+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 : n018.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 10:38:38 EDT 2023
% Result : Theorem 9.31s 3.35s
% Output : CNFRefutation 9.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 55 ( 21 unt; 9 typ; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 84 ( 27 ~; 47 |; 3 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 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 : 46 (; 46 !; 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_60,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_143,negated_conjecture,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& distinct_points(X,Z)
& convergent_lines(line_connecting(X,Y),line_connecting(X,Z)) )
=> ~ distinct_points(intersection_point(line_connecting(X,Y),line_connecting(X,Z)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_131,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_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/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/sandbox/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/sandbox/benchmark/Axioms/GEO006+0.ax',ci2) ).
tff(f_99,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_94,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_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_36,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_34,plain,
distinct_points('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_32,plain,
convergent_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_45,plain,
! [X_48,Z_49,Y_50] :
( convergent_lines(X_48,Z_49)
| distinct_lines(Y_50,Z_49)
| ~ convergent_lines(X_48,Y_50) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_48,plain,
! [Z_49] :
( convergent_lines(line_connecting('#skF_1','#skF_2'),Z_49)
| distinct_lines(line_connecting('#skF_1','#skF_3'),Z_49) ),
inference(resolution,[status(thm)],[c_32,c_45]) ).
tff(c_278,plain,
! [Y_74,V_75,U_76,X_77] :
( apart_point_and_line(Y_74,V_75)
| apart_point_and_line(Y_74,U_76)
| apart_point_and_line(X_77,V_75)
| apart_point_and_line(X_77,U_76)
| ~ distinct_lines(U_76,V_75)
| ~ distinct_points(X_77,Y_74) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1469,plain,
! [Y_127,Z_128,X_129] :
( apart_point_and_line(Y_127,Z_128)
| apart_point_and_line(Y_127,line_connecting('#skF_1','#skF_3'))
| apart_point_and_line(X_129,Z_128)
| apart_point_and_line(X_129,line_connecting('#skF_1','#skF_3'))
| ~ distinct_points(X_129,Y_127)
| convergent_lines(line_connecting('#skF_1','#skF_2'),Z_128) ),
inference(resolution,[status(thm)],[c_48,c_278]) ).
tff(c_1673,plain,
! [Z_128] :
( apart_point_and_line('#skF_2',Z_128)
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_1',Z_128)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3'))
| convergent_lines(line_connecting('#skF_1','#skF_2'),Z_128) ),
inference(resolution,[status(thm)],[c_36,c_1469]) ).
tff(c_2145,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_1673]) ).
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_2152,plain,
~ distinct_points('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_2145,c_14]) ).
tff(c_2158,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_2152]) ).
tff(c_2160,plain,
~ apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')),
inference(splitRight,[status(thm)],[c_1673]) ).
tff(c_1672,plain,
! [Z_128] :
( apart_point_and_line('#skF_3',Z_128)
| apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_1',Z_128)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3'))
| convergent_lines(line_connecting('#skF_1','#skF_2'),Z_128) ),
inference(resolution,[status(thm)],[c_34,c_1469]) ).
tff(c_2715,plain,
! [Z_128] :
( apart_point_and_line('#skF_3',Z_128)
| apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_1',Z_128)
| convergent_lines(line_connecting('#skF_1','#skF_2'),Z_128) ),
inference(negUnitSimplification,[status(thm)],[c_2160,c_1672]) ).
tff(c_2716,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_2715]) ).
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_2723,plain,
~ distinct_points('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_2716,c_16]) ).
tff(c_2729,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_2723]) ).
tff(c_2732,plain,
! [Z_157] :
( apart_point_and_line('#skF_3',Z_157)
| apart_point_and_line('#skF_1',Z_157)
| convergent_lines(line_connecting('#skF_1','#skF_2'),Z_157) ),
inference(splitRight,[status(thm)],[c_2715]) ).
tff(c_2743,plain,
( apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_2732,c_6]) ).
tff(c_2744,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_2743]) ).
tff(c_2751,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_2744,c_14]) ).
tff(c_2757,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_2751]) ).
tff(c_2759,plain,
~ apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_2743]) ).
tff(c_30,plain,
distinct_points(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_1671,plain,
! [Z_128] :
( apart_point_and_line('#skF_1',Z_128)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),Z_128)
| apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),line_connecting('#skF_1','#skF_3'))
| convergent_lines(line_connecting('#skF_1','#skF_2'),Z_128) ),
inference(resolution,[status(thm)],[c_30,c_1469]) ).
tff(c_2905,plain,
! [Z_128] :
( apart_point_and_line('#skF_1',Z_128)
| apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),Z_128)
| apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),line_connecting('#skF_1','#skF_3'))
| convergent_lines(line_connecting('#skF_1','#skF_2'),Z_128) ),
inference(negUnitSimplification,[status(thm)],[c_2160,c_1671]) ).
tff(c_2906,plain,
apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),line_connecting('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_2905]) ).
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_99]) ).
tff(c_3021,plain,
~ convergent_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),
inference(resolution,[status(thm)],[c_2906,c_20]) ).
tff(c_3027,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_3021]) ).
tff(c_8421,plain,
! [Z_329] :
( apart_point_and_line('#skF_1',Z_329)
| apart_point_and_line(intersection_point(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),Z_329)
| convergent_lines(line_connecting('#skF_1','#skF_2'),Z_329) ),
inference(splitRight,[status(thm)],[c_2905]) ).
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_94]) ).
tff(c_8436,plain,
( ~ convergent_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2'))
| convergent_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_8421,c_18]) ).
tff(c_8456,plain,
( apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2'))
| convergent_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_8436]) ).
tff(c_8458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_2759,c_8456]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO202+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/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
% 0.16/0.37 % Computer : n018.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri Aug 4 00:26:06 EDT 2023
% 0.16/0.37 % CPUTime :
% 9.31/3.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.31/3.35
% 9.31/3.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.59/3.38
% 9.59/3.38 Inference rules
% 9.59/3.38 ----------------------
% 9.59/3.39 #Ref : 0
% 9.59/3.39 #Sup : 1089
% 9.59/3.39 #Fact : 496
% 9.59/3.39 #Define : 0
% 9.59/3.39 #Split : 5
% 9.59/3.39 #Chain : 0
% 9.59/3.39 #Close : 0
% 9.59/3.39
% 9.59/3.39 Ordering : KBO
% 9.59/3.39
% 9.59/3.39 Simplification rules
% 9.59/3.39 ----------------------
% 9.59/3.39 #Subsume : 551
% 9.59/3.39 #Demod : 319
% 9.59/3.39 #Tautology : 269
% 9.59/3.39 #SimpNegUnit : 239
% 9.59/3.39 #BackRed : 0
% 9.59/3.39
% 9.59/3.39 #Partial instantiations: 0
% 9.59/3.39 #Strategies tried : 1
% 9.59/3.39
% 9.59/3.39 Timing (in seconds)
% 9.59/3.39 ----------------------
% 9.59/3.39 Preprocessing : 0.48
% 9.59/3.39 Parsing : 0.27
% 9.59/3.39 CNF conversion : 0.03
% 9.59/3.39 Main loop : 1.76
% 9.59/3.39 Inferencing : 0.65
% 9.59/3.39 Reduction : 0.39
% 9.59/3.39 Demodulation : 0.23
% 9.59/3.39 BG Simplification : 0.04
% 9.59/3.39 Subsumption : 0.58
% 9.59/3.39 Abstraction : 0.04
% 9.59/3.39 MUC search : 0.00
% 9.59/3.39 Cooper : 0.00
% 9.59/3.39 Total : 2.29
% 9.59/3.39 Index Insertion : 0.00
% 9.59/3.39 Index Deletion : 0.00
% 9.59/3.39 Index Matching : 0.00
% 9.59/3.39 BG Taut test : 0.00
%------------------------------------------------------------------------------