TSTP Solution File: GEO226+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO226+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 : n023.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 10:38:46 EDT 2023
% Result : Theorem 3.36s 1.76s
% Output : CNFRefutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of formulae : 22 ( 3 unt; 12 typ; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 22 ( 11 ~; 4 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 10 >; 8 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 13 (; 12 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > point > line > parallel_through_point > orthogonal_through_point > line_connecting > intersection_point > #nlpp > #skF_2 > #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(parallel_through_point,type,
parallel_through_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(orthogonal_through_point,type,
orthogonal_through_point: ( $i * $i ) > $i ).
tff(point,type,
point: $i > $o ).
tff(line,type,
line: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(f_204,negated_conjecture,
~ ! [L,M] :
( ( line(L)
& line(M)
& convergent_lines(L,M) )
=> ? [X] :
( point(X)
=> ( ~ apart_point_and_line(X,L)
& ~ apart_point_and_line(X,M) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_98,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci4) ).
tff(f_93,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).
tff(c_42,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_204]) ).
tff(c_40,plain,
! [X_43] :
( apart_point_and_line(X_43,'#skF_2')
| apart_point_and_line(X_43,'#skF_1') ),
inference(cnfTransformation,[status(thm)],[f_204]) ).
tff(c_69,plain,
! [X_59,Y_60] :
( ~ apart_point_and_line(intersection_point(X_59,Y_60),Y_60)
| ~ convergent_lines(X_59,Y_60) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_80,plain,
! [X_66] :
( ~ convergent_lines(X_66,'#skF_2')
| apart_point_and_line(intersection_point(X_66,'#skF_2'),'#skF_1') ),
inference(resolution,[status(thm)],[c_40,c_69]) ).
tff(c_18,plain,
! [X_17,Y_18] :
( ~ apart_point_and_line(intersection_point(X_17,Y_18),X_17)
| ~ convergent_lines(X_17,Y_18) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_86,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_80,c_18]) ).
tff(c_91,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO226+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14 % 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
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 4 00:55:22 EDT 2023
% 0.15/0.36 % CPUTime :
% 3.36/1.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.36/1.77
% 3.36/1.77 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.36/1.79
% 3.36/1.79 Inference rules
% 3.36/1.79 ----------------------
% 3.36/1.79 #Ref : 0
% 3.36/1.79 #Sup : 5
% 3.36/1.79 #Fact : 0
% 3.36/1.79 #Define : 0
% 3.36/1.79 #Split : 0
% 3.36/1.79 #Chain : 0
% 3.36/1.79 #Close : 0
% 3.36/1.79
% 3.36/1.79 Ordering : KBO
% 3.36/1.79
% 3.36/1.79 Simplification rules
% 3.36/1.79 ----------------------
% 3.36/1.79 #Subsume : 0
% 3.36/1.79 #Demod : 6
% 3.36/1.79 #Tautology : 1
% 3.36/1.79 #SimpNegUnit : 0
% 3.36/1.79 #BackRed : 0
% 3.36/1.79
% 3.36/1.79 #Partial instantiations: 0
% 3.36/1.79 #Strategies tried : 1
% 3.36/1.79
% 3.36/1.79 Timing (in seconds)
% 3.36/1.79 ----------------------
% 3.36/1.79 Preprocessing : 0.52
% 3.36/1.79 Parsing : 0.30
% 3.36/1.79 CNF conversion : 0.03
% 3.36/1.79 Main loop : 0.22
% 3.36/1.79 Inferencing : 0.09
% 3.36/1.79 Reduction : 0.06
% 3.36/1.79 Demodulation : 0.04
% 3.36/1.79 BG Simplification : 0.02
% 3.36/1.79 Subsumption : 0.05
% 3.36/1.79 Abstraction : 0.01
% 3.36/1.80 MUC search : 0.00
% 3.36/1.80 Cooper : 0.00
% 3.36/1.80 Total : 0.78
% 3.36/1.80 Index Insertion : 0.00
% 3.36/1.80 Index Deletion : 0.00
% 3.36/1.80 Index Matching : 0.00
% 3.36/1.80 BG Taut test : 0.00
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