TSTP Solution File: GEO181+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO181+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/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 : n002.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 10:38:29 EDT 2023
% Result : Theorem 8.67s 3.22s
% Output : CNFRefutation 8.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 19 unt; 9 typ; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 71 ( 20 ~; 42 |; 2 &)
% ( 0 <=>; 7 =>; 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_58,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(f_138,negated_conjecture,
~ ! [X,Y,Z] :
( distinct_points(X,Y)
=> ( 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_91,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( apart_point_and_line(Z,line_connecting(X,Y))
=> ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con1) ).
tff(f_70,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart4) ).
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/GEO008+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/GEO008+0.ax',cu1) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_34,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_32,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_307,plain,
! [Z_70,X_71,Y_72] :
( distinct_points(Z_70,X_71)
| ~ apart_point_and_line(Z_70,line_connecting(X_71,Y_72))
| ~ distinct_points(X_71,Y_72) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_313,plain,
( distinct_points('#skF_3','#skF_1')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_32,c_307]) ).
tff(c_319,plain,
distinct_points('#skF_3','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_313]) ).
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_70]) ).
tff(c_375,plain,
! [Z_76] :
( distinct_points('#skF_1',Z_76)
| distinct_points('#skF_3',Z_76) ),
inference(resolution,[status(thm)],[c_319,c_8]) ).
tff(c_383,plain,
distinct_points('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_375,c_2]) ).
tff(c_48,plain,
! [X_39,Z_40,Y_41] :
( apart_point_and_line(X_39,Z_40)
| distinct_lines(Y_41,Z_40)
| ~ apart_point_and_line(X_39,Y_41) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_51,plain,
! [Z_40] :
( apart_point_and_line('#skF_3',Z_40)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_40) ),
inference(resolution,[status(thm)],[c_32,c_48]) ).
tff(c_1225,plain,
! [Y_119,V_120,U_121,X_122] :
( apart_point_and_line(Y_119,V_120)
| apart_point_and_line(Y_119,U_121)
| apart_point_and_line(X_122,V_120)
| apart_point_and_line(X_122,U_121)
| ~ distinct_lines(U_121,V_120)
| ~ distinct_points(X_122,Y_119) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_5951,plain,
! [Y_275,Z_276,X_277] :
( apart_point_and_line(Y_275,Z_276)
| apart_point_and_line(Y_275,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_277,Z_276)
| apart_point_and_line(X_277,line_connecting('#skF_1','#skF_2'))
| ~ distinct_points(X_277,Y_275)
| apart_point_and_line('#skF_3',Z_276) ),
inference(resolution,[status(thm)],[c_51,c_1225]) ).
tff(c_6602,plain,
! [Z_276] :
( apart_point_and_line('#skF_2',Z_276)
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',Z_276)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_3',Z_276) ),
inference(resolution,[status(thm)],[c_34,c_5951]) ).
tff(c_6873,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_6602]) ).
tff(c_16,plain,
! [Z_15,X_13,Y_14] :
( distinct_points(Z_15,X_13)
| ~ apart_point_and_line(Z_15,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_6880,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_6873,c_16]) ).
tff(c_6892,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_6880]) ).
tff(c_6894,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_6892]) ).
tff(c_6895,plain,
! [Z_276] :
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2',Z_276)
| apart_point_and_line('#skF_1',Z_276)
| apart_point_and_line('#skF_3',Z_276) ),
inference(splitRight,[status(thm)],[c_6602]) ).
tff(c_7608,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_6895]) ).
tff(c_14,plain,
! [Z_15,Y_14,X_13] :
( distinct_points(Z_15,Y_14)
| ~ apart_point_and_line(Z_15,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_7618,plain,
( distinct_points('#skF_2','#skF_2')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_7608,c_14]) ).
tff(c_7630,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_7618]) ).
tff(c_7632,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_7630]) ).
tff(c_7645,plain,
! [Z_304] :
( apart_point_and_line('#skF_2',Z_304)
| apart_point_and_line('#skF_1',Z_304)
| apart_point_and_line('#skF_3',Z_304) ),
inference(splitRight,[status(thm)],[c_6895]) ).
tff(c_30,plain,
~ apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_3')),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_7677,plain,
( apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3')) ),
inference(resolution,[status(thm)],[c_7645,c_30]) ).
tff(c_7678,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_7677]) ).
tff(c_7688,plain,
( distinct_points('#skF_3','#skF_3')
| ~ distinct_points('#skF_1','#skF_3') ),
inference(resolution,[status(thm)],[c_7678,c_14]) ).
tff(c_7700,plain,
distinct_points('#skF_3','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_383,c_7688]) ).
tff(c_7702,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_7700]) ).
tff(c_7703,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')),
inference(splitRight,[status(thm)],[c_7677]) ).
tff(c_7712,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_3') ),
inference(resolution,[status(thm)],[c_7703,c_16]) ).
tff(c_7724,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_383,c_7712]) ).
tff(c_7726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_7724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO181+2 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.15 % 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
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 4 00:54:31 EDT 2023
% 0.14/0.36 % CPUTime :
% 8.67/3.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.67/3.23
% 8.67/3.23 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.67/3.26
% 8.67/3.26 Inference rules
% 8.67/3.26 ----------------------
% 8.67/3.26 #Ref : 0
% 8.67/3.26 #Sup : 1060
% 8.67/3.26 #Fact : 462
% 8.67/3.26 #Define : 0
% 8.67/3.26 #Split : 3
% 8.67/3.26 #Chain : 0
% 8.67/3.26 #Close : 0
% 8.67/3.26
% 8.67/3.26 Ordering : KBO
% 8.67/3.26
% 8.67/3.26 Simplification rules
% 8.67/3.26 ----------------------
% 8.67/3.26 #Subsume : 542
% 8.67/3.26 #Demod : 305
% 8.67/3.26 #Tautology : 265
% 8.67/3.26 #SimpNegUnit : 166
% 8.67/3.26 #BackRed : 0
% 8.67/3.26
% 8.67/3.26 #Partial instantiations: 0
% 8.67/3.26 #Strategies tried : 1
% 8.67/3.26
% 8.67/3.26 Timing (in seconds)
% 8.67/3.26 ----------------------
% 8.93/3.27 Preprocessing : 0.52
% 8.93/3.27 Parsing : 0.29
% 8.93/3.27 CNF conversion : 0.03
% 8.93/3.27 Main loop : 1.57
% 8.93/3.27 Inferencing : 0.54
% 8.93/3.27 Reduction : 0.33
% 8.93/3.27 Demodulation : 0.20
% 8.93/3.27 BG Simplification : 0.04
% 8.93/3.27 Subsumption : 0.57
% 8.93/3.27 Abstraction : 0.06
% 8.93/3.27 MUC search : 0.00
% 8.93/3.27 Cooper : 0.00
% 8.93/3.27 Total : 2.14
% 8.93/3.27 Index Insertion : 0.00
% 8.93/3.27 Index Deletion : 0.00
% 8.93/3.27 Index Matching : 0.00
% 8.93/3.27 BG Taut test : 0.00
%------------------------------------------------------------------------------