TSTP Solution File: GEO187+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO187+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 : n025.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 10:38:31 EDT 2023
% Result : Theorem 5.87s 2.41s
% Output : CNFRefutation 6.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 58 ( 24 unt; 10 typ; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 90 ( 27 ~; 53 |; 5 &)
% ( 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 47 (; 47 !; 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_150,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_points(U,V)
& ~ apart_point_and_line(X,line_connecting(U,V))
& ~ apart_point_and_line(Y,line_connecting(U,V)) )
=> ( ~ apart_point_and_line(U,line_connecting(X,Y))
& ~ apart_point_and_line(V,line_connecting(X,Y)) ) ),
file('/export/starexec/sandbox/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/sandbox/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/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(c_36,plain,
distinct_points('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_34,plain,
~ apart_point_and_line('#skF_1',line_connecting('#skF_3','#skF_4')),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_38,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_30,plain,
( apart_point_and_line('#skF_4',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')) ),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_44,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_136,plain,
! [X_59,Z_60,Y_61] :
( apart_point_and_line(X_59,Z_60)
| distinct_lines(Y_61,Z_60)
| ~ apart_point_and_line(X_59,Y_61) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_145,plain,
! [Z_60] :
( apart_point_and_line('#skF_3',Z_60)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_60) ),
inference(resolution,[status(thm)],[c_44,c_136]) ).
tff(c_327,plain,
! [Y_78,V_79,U_80,X_81] :
( apart_point_and_line(Y_78,V_79)
| apart_point_and_line(Y_78,U_80)
| apart_point_and_line(X_81,V_79)
| apart_point_and_line(X_81,U_80)
| ~ distinct_lines(U_80,V_79)
| ~ distinct_points(X_81,Y_78) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1339,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_2'))
| apart_point_and_line(X_126,Z_125)
| apart_point_and_line(X_126,line_connecting('#skF_1','#skF_2'))
| ~ distinct_points(X_126,Y_124)
| apart_point_and_line('#skF_3',Z_125) ),
inference(resolution,[status(thm)],[c_145,c_327]) ).
tff(c_1591,plain,
! [Z_125] :
( apart_point_and_line('#skF_2',Z_125)
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',Z_125)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_3',Z_125) ),
inference(resolution,[status(thm)],[c_38,c_1339]) ).
tff(c_1774,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_1591]) ).
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_1781,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1774,c_14]) ).
tff(c_1787,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_1781]) ).
tff(c_1788,plain,
! [Z_125] :
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2',Z_125)
| apart_point_and_line('#skF_1',Z_125)
| apart_point_and_line('#skF_3',Z_125) ),
inference(splitRight,[status(thm)],[c_1591]) ).
tff(c_2277,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_1788]) ).
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_2284,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_2277,c_16]) ).
tff(c_2290,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_2284]) ).
tff(c_2303,plain,
! [Z_147] :
( apart_point_and_line('#skF_2',Z_147)
| apart_point_and_line('#skF_1',Z_147)
| apart_point_and_line('#skF_3',Z_147) ),
inference(splitRight,[status(thm)],[c_1788]) ).
tff(c_32,plain,
~ apart_point_and_line('#skF_2',line_connecting('#skF_3','#skF_4')),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_2321,plain,
( apart_point_and_line('#skF_1',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_4')) ),
inference(resolution,[status(thm)],[c_2303,c_32]) ).
tff(c_2331,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_4')),
inference(negUnitSimplification,[status(thm)],[c_34,c_2321]) ).
tff(c_2338,plain,
~ distinct_points('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_2331,c_14]) ).
tff(c_2344,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_2338]) ).
tff(c_2345,plain,
apart_point_and_line('#skF_4',line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_2386,plain,
! [X_159,Z_160,Y_161] :
( apart_point_and_line(X_159,Z_160)
| distinct_lines(Y_161,Z_160)
| ~ apart_point_and_line(X_159,Y_161) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_2392,plain,
! [Z_160] :
( apart_point_and_line('#skF_4',Z_160)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_160) ),
inference(resolution,[status(thm)],[c_2345,c_2386]) ).
tff(c_2501,plain,
! [Y_178,V_179,U_180,X_181] :
( apart_point_and_line(Y_178,V_179)
| apart_point_and_line(Y_178,U_180)
| apart_point_and_line(X_181,V_179)
| apart_point_and_line(X_181,U_180)
| ~ distinct_lines(U_180,V_179)
| ~ distinct_points(X_181,Y_178) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_3409,plain,
! [Y_223,Z_224,X_225] :
( apart_point_and_line(Y_223,Z_224)
| apart_point_and_line(Y_223,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_225,Z_224)
| apart_point_and_line(X_225,line_connecting('#skF_1','#skF_2'))
| ~ distinct_points(X_225,Y_223)
| apart_point_and_line('#skF_4',Z_224) ),
inference(resolution,[status(thm)],[c_2392,c_2501]) ).
tff(c_3606,plain,
! [Z_224] :
( apart_point_and_line('#skF_2',Z_224)
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',Z_224)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_4',Z_224) ),
inference(resolution,[status(thm)],[c_38,c_3409]) ).
tff(c_3735,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_3606]) ).
tff(c_3742,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_3735,c_14]) ).
tff(c_3748,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_3742]) ).
tff(c_3749,plain,
! [Z_224] :
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2',Z_224)
| apart_point_and_line('#skF_1',Z_224)
| apart_point_and_line('#skF_4',Z_224) ),
inference(splitRight,[status(thm)],[c_3606]) ).
tff(c_4192,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_3749]) ).
tff(c_4199,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_4192,c_16]) ).
tff(c_4205,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_4199]) ).
tff(c_4218,plain,
! [Z_243] :
( apart_point_and_line('#skF_2',Z_243)
| apart_point_and_line('#skF_1',Z_243)
| apart_point_and_line('#skF_4',Z_243) ),
inference(splitRight,[status(thm)],[c_3749]) ).
tff(c_4236,plain,
( apart_point_and_line('#skF_1',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_4',line_connecting('#skF_3','#skF_4')) ),
inference(resolution,[status(thm)],[c_4218,c_32]) ).
tff(c_4246,plain,
apart_point_and_line('#skF_4',line_connecting('#skF_3','#skF_4')),
inference(negUnitSimplification,[status(thm)],[c_34,c_4236]) ).
tff(c_4253,plain,
~ distinct_points('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_4246,c_16]) ).
tff(c_4259,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_4253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO187+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 4 00:30:20 EDT 2023
% 0.13/0.34 % CPUTime :
% 5.87/2.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.87/2.42
% 5.87/2.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.16/2.45
% 6.16/2.45 Inference rules
% 6.16/2.45 ----------------------
% 6.16/2.45 #Ref : 0
% 6.16/2.45 #Sup : 634
% 6.16/2.45 #Fact : 186
% 6.16/2.45 #Define : 0
% 6.16/2.45 #Split : 5
% 6.16/2.45 #Chain : 0
% 6.16/2.45 #Close : 0
% 6.16/2.45
% 6.16/2.45 Ordering : KBO
% 6.16/2.45
% 6.16/2.45 Simplification rules
% 6.16/2.45 ----------------------
% 6.16/2.45 #Subsume : 164
% 6.16/2.45 #Demod : 278
% 6.16/2.45 #Tautology : 264
% 6.16/2.45 #SimpNegUnit : 48
% 6.16/2.45 #BackRed : 0
% 6.16/2.45
% 6.16/2.45 #Partial instantiations: 0
% 6.16/2.45 #Strategies tried : 1
% 6.16/2.45
% 6.16/2.45 Timing (in seconds)
% 6.16/2.45 ----------------------
% 6.16/2.45 Preprocessing : 0.45
% 6.16/2.45 Parsing : 0.25
% 6.16/2.45 CNF conversion : 0.03
% 6.16/2.45 Main loop : 0.97
% 6.16/2.45 Inferencing : 0.36
% 6.16/2.45 Reduction : 0.24
% 6.16/2.45 Demodulation : 0.15
% 6.16/2.45 BG Simplification : 0.03
% 6.16/2.45 Subsumption : 0.28
% 6.16/2.46 Abstraction : 0.03
% 6.16/2.46 MUC search : 0.00
% 6.16/2.46 Cooper : 0.00
% 6.16/2.46 Total : 1.47
% 6.16/2.46 Index Insertion : 0.00
% 6.16/2.46 Index Deletion : 0.00
% 6.16/2.46 Index Matching : 0.00
% 6.16/2.46 BG Taut test : 0.00
%------------------------------------------------------------------------------