TSTP Solution File: GEO204+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO204+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/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 : n001.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 10:38:39 EDT 2023
% Result : Theorem 3.77s 2.12s
% Output : CNFRefutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 21 unt; 9 typ; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 67 ( 23 ~; 35 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 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 : 35 (; 35 !; 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_144,negated_conjecture,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& ~ distinct_points(Y,Z) )
=> ( distinct_points(X,Z)
& ~ distinct_lines(line_connecting(X,Y),line_connecting(X,Z)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_66,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart4) ).
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/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/sandbox2/benchmark/Axioms/GEO006+0.ax',ci1) ).
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/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq1) ).
tff(f_89,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci2) ).
tff(c_34,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_30,plain,
( distinct_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3'))
| ~ distinct_points('#skF_1','#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_42,plain,
~ distinct_points('#skF_1','#skF_3'),
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_45,plain,
! [Y_51,Z_52,X_53] :
( distinct_points(Y_51,Z_52)
| distinct_points(X_53,Z_52)
| ~ distinct_points(X_53,Y_51) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_49,plain,
! [Z_54] :
( distinct_points('#skF_2',Z_54)
| distinct_points('#skF_1',Z_54) ),
inference(resolution,[status(thm)],[c_34,c_45]) ).
tff(c_32,plain,
~ distinct_points('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_58,plain,
distinct_points('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_49,c_32]) ).
tff(c_65,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42,c_58]) ).
tff(c_67,plain,
distinct_points('#skF_1','#skF_3'),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_66,plain,
distinct_lines(line_connecting('#skF_1','#skF_2'),line_connecting('#skF_1','#skF_3')),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_428,plain,
! [Y_89,V_90,U_91,X_92] :
( apart_point_and_line(Y_89,V_90)
| apart_point_and_line(Y_89,U_91)
| apart_point_and_line(X_92,V_90)
| apart_point_and_line(X_92,U_91)
| ~ distinct_lines(U_91,V_90)
| ~ distinct_points(X_92,Y_89) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_518,plain,
! [Y_95,X_96] :
( apart_point_and_line(Y_95,line_connecting('#skF_1','#skF_3'))
| apart_point_and_line(Y_95,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_96,line_connecting('#skF_1','#skF_3'))
| apart_point_and_line(X_96,line_connecting('#skF_1','#skF_2'))
| ~ distinct_points(X_96,Y_95) ),
inference(resolution,[status(thm)],[c_66,c_428]) ).
tff(c_587,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_34,c_518]) ).
tff(c_1030,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_587]) ).
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_1037,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1030,c_14]) ).
tff(c_1043,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_1037]) ).
tff(c_1045,plain,
~ apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_587]) ).
tff(c_586,plain,
( apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_67,c_518]) ).
tff(c_1443,plain,
( apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')) ),
inference(negUnitSimplification,[status(thm)],[c_1045,c_586]) ).
tff(c_1444,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_1443]) ).
tff(c_1451,plain,
~ distinct_points('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_1444,c_14]) ).
tff(c_1457,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_67,c_1451]) ).
tff(c_1459,plain,
~ apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')),
inference(splitRight,[status(thm)],[c_1443]) ).
tff(c_1044,plain,
( apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_3')) ),
inference(splitRight,[status(thm)],[c_587]) ).
tff(c_1392,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_1044]) ).
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_1412,plain,
! [Z_121] :
( apart_point_and_line(Z_121,line_connecting('#skF_1','#skF_3'))
| distinct_points('#skF_2',Z_121) ),
inference(resolution,[status(thm)],[c_1392,c_24]) ).
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_1424,plain,
( ~ distinct_points('#skF_1','#skF_3')
| distinct_points('#skF_2','#skF_3') ),
inference(resolution,[status(thm)],[c_1412,c_16]) ).
tff(c_1438,plain,
distinct_points('#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_67,c_1424]) ).
tff(c_1440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32,c_1438]) ).
tff(c_1441,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')) ),
inference(splitRight,[status(thm)],[c_1044]) ).
tff(c_1460,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_1459,c_1441]) ).
tff(c_1467,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1460,c_16]) ).
tff(c_1473,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_1467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO204+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/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 : n001.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 01:07:41 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.77/2.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.77/2.13
% 3.77/2.13 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.77/2.16
% 3.77/2.16 Inference rules
% 3.77/2.16 ----------------------
% 3.77/2.16 #Ref : 0
% 3.77/2.16 #Sup : 213
% 3.77/2.16 #Fact : 66
% 3.77/2.16 #Define : 0
% 3.77/2.16 #Split : 4
% 3.77/2.16 #Chain : 0
% 3.77/2.16 #Close : 0
% 3.77/2.16
% 3.77/2.16 Ordering : KBO
% 3.77/2.16
% 3.77/2.16 Simplification rules
% 3.77/2.16 ----------------------
% 3.77/2.16 #Subsume : 62
% 3.77/2.16 #Demod : 70
% 3.77/2.16 #Tautology : 66
% 3.77/2.16 #SimpNegUnit : 21
% 3.77/2.16 #BackRed : 0
% 3.77/2.16
% 3.77/2.16 #Partial instantiations: 0
% 3.77/2.16 #Strategies tried : 1
% 3.77/2.16
% 3.77/2.16 Timing (in seconds)
% 3.77/2.16 ----------------------
% 3.77/2.16 Preprocessing : 0.47
% 3.77/2.16 Parsing : 0.27
% 3.77/2.16 CNF conversion : 0.03
% 3.77/2.16 Main loop : 0.60
% 3.77/2.16 Inferencing : 0.23
% 3.77/2.16 Reduction : 0.14
% 3.77/2.16 Demodulation : 0.09
% 3.77/2.16 BG Simplification : 0.03
% 3.77/2.16 Subsumption : 0.16
% 3.77/2.16 Abstraction : 0.02
% 3.77/2.16 MUC search : 0.00
% 3.77/2.16 Cooper : 0.00
% 3.77/2.16 Total : 1.13
% 3.77/2.16 Index Insertion : 0.00
% 3.77/2.16 Index Deletion : 0.00
% 3.77/2.16 Index Matching : 0.00
% 3.77/2.16 BG Taut test : 0.00
%------------------------------------------------------------------------------