TSTP Solution File: GEO177+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO177+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 : n020.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 10:38:27 EDT 2023
% Result : Theorem 6.98s 2.87s
% Output : CNFRefutation 6.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 64 ( 25 unt; 10 typ; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 99 ( 26 ~; 64 |; 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 59 (; 59 !; 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_54,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart1) ).
tff(f_146,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(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/GEO006+0.ax',ceq1) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_38,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_30,plain,
~ apart_point_and_line('#skF_4',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_36,plain,
distinct_points('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_34,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_1',line_connecting('#skF_3','#skF_4')) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_44,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_3','#skF_4')),
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_48,plain,
! [X_48,Z_49,Y_50] :
( apart_point_and_line(X_48,Z_49)
| distinct_lines(Y_50,Z_49)
| ~ apart_point_and_line(X_48,Y_50) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_51,plain,
! [Z_49] :
( apart_point_and_line('#skF_1',Z_49)
| distinct_lines(line_connecting('#skF_3','#skF_4'),Z_49) ),
inference(resolution,[status(thm)],[c_44,c_48]) ).
tff(c_309,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_1354,plain,
! [Y_125,Z_126,X_127] :
( apart_point_and_line(Y_125,Z_126)
| apart_point_and_line(Y_125,line_connecting('#skF_3','#skF_4'))
| apart_point_and_line(X_127,Z_126)
| apart_point_and_line(X_127,line_connecting('#skF_3','#skF_4'))
| ~ distinct_points(X_127,Y_125)
| apart_point_and_line('#skF_1',Z_126) ),
inference(resolution,[status(thm)],[c_51,c_309]) ).
tff(c_1597,plain,
! [Z_126] :
( apart_point_and_line('#skF_4',Z_126)
| apart_point_and_line('#skF_4',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_3',Z_126)
| apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_1',Z_126) ),
inference(resolution,[status(thm)],[c_36,c_1354]) ).
tff(c_1782,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_4')),
inference(splitLeft,[status(thm)],[c_1597]) ).
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_1789,plain,
~ distinct_points('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_1782,c_14]) ).
tff(c_1795,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_1789]) ).
tff(c_1796,plain,
! [Z_126] :
( apart_point_and_line('#skF_4',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_4',Z_126)
| apart_point_and_line('#skF_3',Z_126)
| apart_point_and_line('#skF_1',Z_126) ),
inference(splitRight,[status(thm)],[c_1597]) ).
tff(c_2277,plain,
apart_point_and_line('#skF_4',line_connecting('#skF_3','#skF_4')),
inference(splitLeft,[status(thm)],[c_1796]) ).
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_3','#skF_4'),
inference(resolution,[status(thm)],[c_2277,c_16]) ).
tff(c_2290,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_2284]) ).
tff(c_2303,plain,
! [Z_147] :
( apart_point_and_line('#skF_4',Z_147)
| apart_point_and_line('#skF_3',Z_147)
| apart_point_and_line('#skF_1',Z_147) ),
inference(splitRight,[status(thm)],[c_1796]) ).
tff(c_32,plain,
~ apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_2321,plain,
( apart_point_and_line('#skF_4',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_2303,c_32]) ).
tff(c_2331,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_30,c_2321]) ).
tff(c_2338,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_2331,c_14]) ).
tff(c_2344,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_2338]) ).
tff(c_2345,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_3','#skF_4')),
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_2352,plain,
! [X_161,Z_162,Y_163] :
( apart_point_and_line(X_161,Z_162)
| distinct_lines(Y_163,Z_162)
| ~ apart_point_and_line(X_161,Y_163) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_2355,plain,
! [Z_162] :
( apart_point_and_line('#skF_2',Z_162)
| distinct_lines(line_connecting('#skF_3','#skF_4'),Z_162) ),
inference(resolution,[status(thm)],[c_2345,c_2352]) ).
tff(c_2455,plain,
! [Y_175,V_176,U_177,X_178] :
( apart_point_and_line(Y_175,V_176)
| apart_point_and_line(Y_175,U_177)
| apart_point_and_line(X_178,V_176)
| apart_point_and_line(X_178,U_177)
| ~ distinct_lines(U_177,V_176)
| ~ distinct_points(X_178,Y_175) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_3877,plain,
! [Y_239,Z_240,X_241] :
( apart_point_and_line(Y_239,Z_240)
| apart_point_and_line(Y_239,line_connecting('#skF_3','#skF_4'))
| apart_point_and_line(X_241,Z_240)
| apart_point_and_line(X_241,line_connecting('#skF_3','#skF_4'))
| ~ distinct_points(X_241,Y_239)
| apart_point_and_line('#skF_2',Z_240) ),
inference(resolution,[status(thm)],[c_2355,c_2455]) ).
tff(c_4166,plain,
! [Z_240] :
( apart_point_and_line('#skF_4',Z_240)
| apart_point_and_line('#skF_4',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_3',Z_240)
| apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_2',Z_240) ),
inference(resolution,[status(thm)],[c_36,c_3877]) ).
tff(c_4380,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_3','#skF_4')),
inference(splitLeft,[status(thm)],[c_4166]) ).
tff(c_4387,plain,
~ distinct_points('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_4380,c_14]) ).
tff(c_4393,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_4387]) ).
tff(c_4394,plain,
! [Z_240] :
( apart_point_and_line('#skF_4',line_connecting('#skF_3','#skF_4'))
| apart_point_and_line('#skF_4',Z_240)
| apart_point_and_line('#skF_3',Z_240)
| apart_point_and_line('#skF_2',Z_240) ),
inference(splitRight,[status(thm)],[c_4166]) ).
tff(c_4995,plain,
apart_point_and_line('#skF_4',line_connecting('#skF_3','#skF_4')),
inference(splitLeft,[status(thm)],[c_4394]) ).
tff(c_5002,plain,
~ distinct_points('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_4995,c_16]) ).
tff(c_5008,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_5002]) ).
tff(c_5021,plain,
! [Z_266] :
( apart_point_and_line('#skF_4',Z_266)
| apart_point_and_line('#skF_3',Z_266)
| apart_point_and_line('#skF_2',Z_266) ),
inference(splitRight,[status(thm)],[c_4394]) ).
tff(c_24,plain,
! [Z_27,Y_26,X_25] :
( apart_point_and_line(Z_27,Y_26)
| distinct_points(X_25,Z_27)
| ~ apart_point_and_line(X_25,Y_26) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_5328,plain,
! [Z_277,Z_278] :
( apart_point_and_line(Z_277,Z_278)
| distinct_points('#skF_2',Z_277)
| apart_point_and_line('#skF_4',Z_278)
| apart_point_and_line('#skF_3',Z_278) ),
inference(resolution,[status(thm)],[c_5021,c_24]) ).
tff(c_5379,plain,
! [Z_277] :
( apart_point_and_line(Z_277,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_2',Z_277)
| apart_point_and_line('#skF_4',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_5328,c_32]) ).
tff(c_5399,plain,
! [Z_279] :
( apart_point_and_line(Z_279,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_2',Z_279) ),
inference(negUnitSimplification,[status(thm)],[c_30,c_5379]) ).
tff(c_5415,plain,
( ~ distinct_points('#skF_1','#skF_2')
| distinct_points('#skF_2','#skF_2') ),
inference(resolution,[status(thm)],[c_5399,c_16]) ).
tff(c_5432,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_5415]) ).
tff(c_5434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_5432]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO177+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
% 0.14/0.36 % Computer : n020.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 00:22:37 EDT 2023
% 0.22/0.36 % CPUTime :
% 6.98/2.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.98/2.88
% 6.98/2.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.98/2.91
% 6.98/2.91 Inference rules
% 6.98/2.91 ----------------------
% 6.98/2.91 #Ref : 0
% 6.98/2.91 #Sup : 772
% 6.98/2.91 #Fact : 260
% 6.98/2.91 #Define : 0
% 6.98/2.91 #Split : 5
% 6.98/2.91 #Chain : 0
% 6.98/2.91 #Close : 0
% 6.98/2.91
% 6.98/2.91 Ordering : KBO
% 6.98/2.91
% 6.98/2.91 Simplification rules
% 6.98/2.91 ----------------------
% 6.98/2.91 #Subsume : 238
% 6.98/2.91 #Demod : 341
% 6.98/2.91 #Tautology : 327
% 6.98/2.91 #SimpNegUnit : 75
% 6.98/2.91 #BackRed : 0
% 6.98/2.91
% 6.98/2.91 #Partial instantiations: 0
% 6.98/2.91 #Strategies tried : 1
% 6.98/2.91
% 6.98/2.91 Timing (in seconds)
% 6.98/2.91 ----------------------
% 6.98/2.92 Preprocessing : 0.48
% 6.98/2.92 Parsing : 0.26
% 6.98/2.92 CNF conversion : 0.03
% 6.98/2.92 Main loop : 1.30
% 6.98/2.92 Inferencing : 0.46
% 6.98/2.92 Reduction : 0.30
% 6.98/2.92 Demodulation : 0.18
% 6.98/2.92 BG Simplification : 0.04
% 6.98/2.92 Subsumption : 0.41
% 6.98/2.92 Abstraction : 0.04
% 6.98/2.92 MUC search : 0.00
% 6.98/2.92 Cooper : 0.00
% 6.98/2.92 Total : 1.85
% 6.98/2.92 Index Insertion : 0.00
% 6.98/2.92 Index Deletion : 0.00
% 6.98/2.92 Index Matching : 0.00
% 6.98/2.92 BG Taut test : 0.00
%------------------------------------------------------------------------------