TSTP Solution File: GEO191+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO191+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 : n008.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 10:38:33 EDT 2023
% Result : Theorem 12.59s 4.31s
% Output : CNFRefutation 12.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 69 ( 26 unt; 10 typ; 0 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 126 ( 40 ~; 77 |; 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 76 (; 76 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > line_connecting > intersection_point > #nlpp > #skF_2 > #skF_3 > #skF_1 > #skF_4
%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('#skF_4',type,
'#skF_4': $i ).
tff(f_144,negated_conjecture,
~ ! [X,Y,U,V] :
( ( convergent_lines(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(intersection_point(X,Y),U)
| apart_point_and_line(intersection_point(X,Y),V) ) )
=> ( apart_point_and_line(intersection_point(U,V),X)
| apart_point_and_line(intersection_point(U,V),Y) ) ),
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(c_36,plain,
convergent_lines('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_32,plain,
~ apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_38,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_34,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_4')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_52,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3'),
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_53,plain,
! [Z_39,Y_40,X_41] :
( apart_point_and_line(Z_39,Y_40)
| distinct_points(X_41,Z_39)
| ~ apart_point_and_line(X_41,Y_40) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_56,plain,
! [Z_39] :
( apart_point_and_line(Z_39,'#skF_3')
| distinct_points(intersection_point('#skF_1','#skF_2'),Z_39) ),
inference(resolution,[status(thm)],[c_52,c_53]) ).
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_965,plain,
! [Y_118,V_119,U_120,X_121] :
( apart_point_and_line(Y_118,V_119)
| apart_point_and_line(Y_118,U_120)
| apart_point_and_line(X_121,V_119)
| apart_point_and_line(X_121,U_120)
| ~ distinct_lines(U_120,V_119)
| ~ distinct_points(X_121,Y_118) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1992,plain,
! [Y_167,Y_168,X_169,X_170] :
( apart_point_and_line(Y_167,Y_168)
| apart_point_and_line(Y_167,X_169)
| apart_point_and_line(X_170,Y_168)
| apart_point_and_line(X_170,X_169)
| ~ distinct_points(X_170,Y_167)
| ~ convergent_lines(X_169,Y_168) ),
inference(resolution,[status(thm)],[c_28,c_965]) ).
tff(c_4540,plain,
! [Z_277,Y_278,X_279] :
( apart_point_and_line(Z_277,Y_278)
| apart_point_and_line(Z_277,X_279)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Y_278)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),X_279)
| ~ convergent_lines(X_279,Y_278)
| apart_point_and_line(Z_277,'#skF_3') ),
inference(resolution,[status(thm)],[c_56,c_1992]) ).
tff(c_4725,plain,
! [Z_277] :
( apart_point_and_line(Z_277,'#skF_2')
| apart_point_and_line(Z_277,'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| apart_point_and_line(Z_277,'#skF_3') ),
inference(resolution,[status(thm)],[c_38,c_4540]) ).
tff(c_4979,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_4725]) ).
tff(c_380,plain,
! [Z_75,X_76,Y_77] :
( ~ apart_point_and_line(Z_75,X_76)
| distinct_points(Z_75,intersection_point(X_76,Y_77))
| ~ convergent_lines(X_76,Y_77) ),
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_388,plain,
! [X_76,Y_77] :
( ~ apart_point_and_line(intersection_point(X_76,Y_77),X_76)
| ~ convergent_lines(X_76,Y_77) ),
inference(resolution,[status(thm)],[c_380,c_2]) ).
tff(c_4986,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_4979,c_388]) ).
tff(c_4996,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_4986]) ).
tff(c_4997,plain,
! [Z_277] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| apart_point_and_line(Z_277,'#skF_2')
| apart_point_and_line(Z_277,'#skF_1')
| apart_point_and_line(Z_277,'#skF_3') ),
inference(splitRight,[status(thm)],[c_4725]) ).
tff(c_8217,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_4997]) ).
tff(c_787,plain,
! [Z_104,Y_105,X_106] :
( ~ apart_point_and_line(Z_104,Y_105)
| distinct_points(Z_104,intersection_point(X_106,Y_105))
| ~ convergent_lines(X_106,Y_105) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_795,plain,
! [X_106,Y_105] :
( ~ apart_point_and_line(intersection_point(X_106,Y_105),Y_105)
| ~ convergent_lines(X_106,Y_105) ),
inference(resolution,[status(thm)],[c_787,c_2]) ).
tff(c_8232,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_8217,c_795]) ).
tff(c_8252,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_8232]) ).
tff(c_8265,plain,
! [Z_406] :
( apart_point_and_line(Z_406,'#skF_2')
| apart_point_and_line(Z_406,'#skF_1')
| apart_point_and_line(Z_406,'#skF_3') ),
inference(splitRight,[status(thm)],[c_4997]) ).
tff(c_30,plain,
~ apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_8295,plain,
( apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_3') ),
inference(resolution,[status(thm)],[c_8265,c_30]) ).
tff(c_8311,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_32,c_8295]) ).
tff(c_8326,plain,
~ convergent_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_8311,c_388]) ).
tff(c_8346,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_8326]) ).
tff(c_8347,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_4'),
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_8404,plain,
! [Z_420,Y_421,X_422] :
( apart_point_and_line(Z_420,Y_421)
| distinct_points(X_422,Z_420)
| ~ apart_point_and_line(X_422,Y_421) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_8410,plain,
! [Z_420] :
( apart_point_and_line(Z_420,'#skF_4')
| distinct_points(intersection_point('#skF_1','#skF_2'),Z_420) ),
inference(resolution,[status(thm)],[c_8347,c_8404]) ).
tff(c_9553,plain,
! [Y_494,V_495,U_496,X_497] :
( apart_point_and_line(Y_494,V_495)
| apart_point_and_line(Y_494,U_496)
| apart_point_and_line(X_497,V_495)
| apart_point_and_line(X_497,U_496)
| ~ distinct_lines(U_496,V_495)
| ~ distinct_points(X_497,Y_494) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_10473,plain,
! [Y_542,Y_543,X_544,X_545] :
( apart_point_and_line(Y_542,Y_543)
| apart_point_and_line(Y_542,X_544)
| apart_point_and_line(X_545,Y_543)
| apart_point_and_line(X_545,X_544)
| ~ distinct_points(X_545,Y_542)
| ~ convergent_lines(X_544,Y_543) ),
inference(resolution,[status(thm)],[c_28,c_9553]) ).
tff(c_13597,plain,
! [Z_680,Y_681,X_682] :
( apart_point_and_line(Z_680,Y_681)
| apart_point_and_line(Z_680,X_682)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Y_681)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),X_682)
| ~ convergent_lines(X_682,Y_681)
| apart_point_and_line(Z_680,'#skF_4') ),
inference(resolution,[status(thm)],[c_8410,c_10473]) ).
tff(c_13908,plain,
! [Z_680] :
( apart_point_and_line(Z_680,'#skF_2')
| apart_point_and_line(Z_680,'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| apart_point_and_line(Z_680,'#skF_4') ),
inference(resolution,[status(thm)],[c_38,c_13597]) ).
tff(c_14096,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_13908]) ).
tff(c_8799,plain,
! [Z_451,X_452,Y_453] :
( ~ apart_point_and_line(Z_451,X_452)
| distinct_points(Z_451,intersection_point(X_452,Y_453))
| ~ convergent_lines(X_452,Y_453) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_8807,plain,
! [X_452,Y_453] :
( ~ apart_point_and_line(intersection_point(X_452,Y_453),X_452)
| ~ convergent_lines(X_452,Y_453) ),
inference(resolution,[status(thm)],[c_8799,c_2]) ).
tff(c_14103,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_14096,c_8807]) ).
tff(c_14113,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_14103]) ).
tff(c_14114,plain,
! [Z_680] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| apart_point_and_line(Z_680,'#skF_2')
| apart_point_and_line(Z_680,'#skF_1')
| apart_point_and_line(Z_680,'#skF_4') ),
inference(splitRight,[status(thm)],[c_13908]) ).
tff(c_17529,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_14114]) ).
tff(c_9001,plain,
! [Z_465,Y_466,X_467] :
( ~ apart_point_and_line(Z_465,Y_466)
| distinct_points(Z_465,intersection_point(X_467,Y_466))
| ~ convergent_lines(X_467,Y_466) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_9009,plain,
! [X_467,Y_466] :
( ~ apart_point_and_line(intersection_point(X_467,Y_466),Y_466)
| ~ convergent_lines(X_467,Y_466) ),
inference(resolution,[status(thm)],[c_9001,c_2]) ).
tff(c_17544,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_17529,c_9009]) ).
tff(c_17566,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_17544]) ).
tff(c_17579,plain,
! [Z_807] :
( apart_point_and_line(Z_807,'#skF_2')
| apart_point_and_line(Z_807,'#skF_1')
| apart_point_and_line(Z_807,'#skF_4') ),
inference(splitRight,[status(thm)],[c_14114]) ).
tff(c_17609,plain,
( apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4') ),
inference(resolution,[status(thm)],[c_17579,c_30]) ).
tff(c_17625,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_32,c_17609]) ).
tff(c_17640,plain,
~ convergent_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_17625,c_9009]) ).
tff(c_17660,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_17640]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO191+2 : 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
% 0.16/0.35 % Computer : n008.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Fri Aug 4 00:29:18 EDT 2023
% 0.16/0.35 % CPUTime :
% 12.59/4.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.59/4.32
% 12.59/4.32 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.59/4.36
% 12.59/4.36 Inference rules
% 12.59/4.36 ----------------------
% 12.59/4.36 #Ref : 0
% 12.59/4.36 #Sup : 3059
% 12.59/4.36 #Fact : 760
% 12.59/4.36 #Define : 0
% 12.59/4.36 #Split : 5
% 12.59/4.36 #Chain : 0
% 12.59/4.36 #Close : 0
% 12.59/4.36
% 12.59/4.36 Ordering : KBO
% 12.59/4.36
% 12.59/4.36 Simplification rules
% 12.59/4.36 ----------------------
% 12.59/4.36 #Subsume : 810
% 12.59/4.36 #Demod : 664
% 12.59/4.36 #Tautology : 628
% 12.59/4.36 #SimpNegUnit : 266
% 12.59/4.36 #BackRed : 0
% 12.59/4.36
% 12.59/4.36 #Partial instantiations: 0
% 12.59/4.36 #Strategies tried : 1
% 12.59/4.36
% 12.59/4.36 Timing (in seconds)
% 12.59/4.36 ----------------------
% 12.59/4.36 Preprocessing : 0.51
% 12.59/4.36 Parsing : 0.28
% 12.59/4.36 CNF conversion : 0.03
% 12.59/4.36 Main loop : 2.77
% 12.59/4.36 Inferencing : 1.01
% 12.59/4.36 Reduction : 0.58
% 12.59/4.36 Demodulation : 0.34
% 12.59/4.36 BG Simplification : 0.06
% 12.59/4.36 Subsumption : 0.95
% 12.59/4.36 Abstraction : 0.06
% 12.59/4.36 MUC search : 0.00
% 12.59/4.36 Cooper : 0.00
% 12.59/4.36 Total : 3.34
% 12.59/4.36 Index Insertion : 0.00
% 12.59/4.36 Index Deletion : 0.00
% 12.59/4.36 Index Matching : 0.00
% 12.59/4.36 BG Taut test : 0.00
%------------------------------------------------------------------------------