TSTP Solution File: GEO170+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO170+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 : n018.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 10:38:24 EDT 2023
% Result : Theorem 3.66s 1.92s
% Output : CNFRefutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 29 ( 10 unt; 9 typ; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 42 ( 17 ~; 18 |; 3 &)
% ( 0 <=>; 4 =>; 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 : 21 (; 21 !; 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)
& ~ apart_point_and_line(X,Z)
& ~ apart_point_and_line(Y,Z) )
=> ~ distinct_lines(Z,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_111,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_83,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_88,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_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_34,plain,
~ apart_point_and_line('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_32,plain,
~ apart_point_and_line('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_30,plain,
distinct_lines('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_256,plain,
! [Y_73,V_74,U_75,X_76] :
( apart_point_and_line(Y_73,V_74)
| apart_point_and_line(Y_73,U_75)
| apart_point_and_line(X_76,V_74)
| apart_point_and_line(X_76,U_75)
| ~ distinct_lines(U_75,V_74)
| ~ distinct_points(X_76,Y_73) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_404,plain,
! [Y_82,X_83] :
( apart_point_and_line(Y_82,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(Y_82,'#skF_3')
| apart_point_and_line(X_83,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_83,'#skF_3')
| ~ distinct_points(X_83,Y_82) ),
inference(resolution,[status(thm)],[c_30,c_256]) ).
tff(c_444,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2','#skF_3')
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1','#skF_3') ),
inference(resolution,[status(thm)],[c_36,c_404]) ).
tff(c_496,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_34,c_32,c_444]) ).
tff(c_497,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_496]) ).
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_83]) ).
tff(c_504,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_497,c_14]) ).
tff(c_510,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_504]) ).
tff(c_511,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_496]) ).
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_88]) ).
tff(c_519,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_511,c_16]) ).
tff(c_525,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_519]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO170+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/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
% 0.16/0.37 % Computer : n018.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri Aug 4 00:44:36 EDT 2023
% 0.16/0.37 % CPUTime :
% 3.66/1.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.66/1.93
% 3.66/1.93 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.66/1.95
% 3.66/1.95 Inference rules
% 3.66/1.95 ----------------------
% 3.66/1.95 #Ref : 0
% 3.66/1.95 #Sup : 69
% 3.66/1.95 #Fact : 20
% 3.66/1.95 #Define : 0
% 3.66/1.95 #Split : 1
% 3.66/1.95 #Chain : 0
% 3.66/1.95 #Close : 0
% 3.66/1.95
% 3.66/1.95 Ordering : KBO
% 3.66/1.95
% 3.66/1.95 Simplification rules
% 3.66/1.95 ----------------------
% 3.66/1.95 #Subsume : 11
% 3.66/1.95 #Demod : 26
% 3.66/1.95 #Tautology : 24
% 3.66/1.95 #SimpNegUnit : 18
% 3.66/1.95 #BackRed : 0
% 3.66/1.95
% 3.66/1.95 #Partial instantiations: 0
% 3.66/1.95 #Strategies tried : 1
% 3.66/1.95
% 3.66/1.95 Timing (in seconds)
% 3.66/1.95 ----------------------
% 3.66/1.96 Preprocessing : 0.47
% 3.66/1.96 Parsing : 0.26
% 3.66/1.96 CNF conversion : 0.03
% 3.66/1.96 Main loop : 0.41
% 3.66/1.96 Inferencing : 0.17
% 3.66/1.96 Reduction : 0.10
% 3.66/1.96 Demodulation : 0.06
% 3.66/1.96 BG Simplification : 0.02
% 3.66/1.96 Subsumption : 0.10
% 3.66/1.96 Abstraction : 0.02
% 3.66/1.96 MUC search : 0.00
% 3.66/1.96 Cooper : 0.00
% 3.66/1.96 Total : 0.92
% 3.66/1.96 Index Insertion : 0.00
% 3.66/1.96 Index Deletion : 0.00
% 3.66/1.96 Index Matching : 0.00
% 3.66/1.96 BG Taut test : 0.00
%------------------------------------------------------------------------------