TSTP Solution File: GEO252+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO252+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 : n027.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 10:38:53 EDT 2023
% Result : Theorem 3.26s 1.71s
% Output : CNFRefutation 3.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 21
% Syntax : Number of formulae : 24 ( 3 unt; 19 typ; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 7 ( 3 ~; 1 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 16 >; 17 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 7 (; 7 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ between_on_line > divides_points > before_on_line > unequally_directed_lines > left_convergent_lines > left_apart_point > distinct_points > distinct_lines > convergent_lines > apart_point_and_line > point > line > parallel_through_point > line_connecting > intersection_point > #nlpp > reverse_line > #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(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(point,type,
point: $i > $o ).
tff(reverse_line,type,
reverse_line: $i > $i ).
tff(line,type,
line: $i > $o ).
tff(between_on_line,type,
between_on_line: ( $i * $i * $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(left_convergent_lines,type,
left_convergent_lines: ( $i * $i ) > $o ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(before_on_line,type,
before_on_line: ( $i * $i * $i ) > $o ).
tff(divides_points,type,
divides_points: ( $i * $i * $i ) > $o ).
tff(left_apart_point,type,
left_apart_point: ( $i * $i ) > $o ).
tff(unequally_directed_lines,type,
unequally_directed_lines: ( $i * $i ) > $o ).
tff(f_161,axiom,
! [A,L] :
~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag10) ).
tff(f_286,negated_conjecture,
~ ! [A,B,L] :
( ( left_apart_point(A,L)
& left_apart_point(B,reverse_line(L)) )
=> ( distinct_points(A,B)
& left_convergent_lines(line_connecting(A,B),L) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(c_78,plain,
! [A_34,L_35] : ~ left_apart_point(A_34,reverse_line(L_35)),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_120,plain,
left_apart_point('#skF_2',reverse_line('#skF_3')),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO252+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.15/0.14 % 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
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 4 00:50:09 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.26/1.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.26/1.71
% 3.26/1.71 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.31/1.74
% 3.31/1.74 Inference rules
% 3.31/1.74 ----------------------
% 3.31/1.74 #Ref : 0
% 3.31/1.74 #Sup : 0
% 3.31/1.74 #Fact : 0
% 3.31/1.74 #Define : 0
% 3.31/1.74 #Split : 0
% 3.31/1.74 #Chain : 0
% 3.31/1.74 #Close : 0
% 3.31/1.74
% 3.31/1.74 Ordering : KBO
% 3.31/1.74
% 3.31/1.74 Simplification rules
% 3.31/1.74 ----------------------
% 3.31/1.74 #Subsume : 60
% 3.31/1.74 #Demod : 0
% 3.31/1.75 #Tautology : 0
% 3.31/1.75 #SimpNegUnit : 5
% 3.31/1.75 #BackRed : 0
% 3.31/1.75
% 3.31/1.75 #Partial instantiations: 0
% 3.31/1.75 #Strategies tried : 1
% 3.31/1.75
% 3.31/1.75 Timing (in seconds)
% 3.31/1.75 ----------------------
% 3.31/1.75 Preprocessing : 0.57
% 3.31/1.75 Parsing : 0.30
% 3.31/1.75 CNF conversion : 0.04
% 3.31/1.75 Main loop : 0.10
% 3.31/1.75 Inferencing : 0.00
% 3.31/1.75 Reduction : 0.05
% 3.31/1.75 Demodulation : 0.03
% 3.31/1.75 BG Simplification : 0.03
% 3.31/1.75 Subsumption : 0.04
% 3.31/1.75 Abstraction : 0.01
% 3.31/1.75 MUC search : 0.00
% 3.31/1.75 Cooper : 0.00
% 3.31/1.75 Total : 0.73
% 3.31/1.75 Index Insertion : 0.00
% 3.31/1.75 Index Deletion : 0.00
% 3.31/1.75 Index Matching : 0.00
% 3.31/1.75 BG Taut test : 0.00
%------------------------------------------------------------------------------