TSTP Solution File: GEO248+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO248+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : 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 10:38:52 EDT 2023
% Result : Theorem 3.22s 1.77s
% Output : CNFRefutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 30
% Syntax : Number of formulae : 38 ( 5 unt; 26 typ; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 6 |; 1 &)
% ( 2 <=>; 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 : 47 ( 23 >; 24 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 21 (; 21 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ between_on_line > divides_points > before_on_line > unequally_directed_opposite_lines > unequally_directed_lines > right_convergent_lines > right_apart_point > left_convergent_lines > left_apart_point > incident_point_and_line > equally_directed_opposite_lines > equally_directed_lines > distinct_points > distinct_lines > convergent_lines > apart_point_and_line > point > line > parallel_through_point > parallel_lines > 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(incident_point_and_line,type,
incident_point_and_line: ( $i * $i ) > $o ).
tff(distinct_points,type,
distinct_points: ( $i * $i ) > $o ).
tff(unequally_directed_opposite_lines,type,
unequally_directed_opposite_lines: ( $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(equally_directed_opposite_lines,type,
equally_directed_opposite_lines: ( $i * $i ) > $o ).
tff(right_apart_point,type,
right_apart_point: ( $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(equally_directed_lines,type,
equally_directed_lines: ( $i * $i ) > $o ).
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(parallel_lines,type,
parallel_lines: ( $i * $i ) > $i ).
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(right_convergent_lines,type,
right_convergent_lines: ( $i * $i ) > $o ).
tff(f_168,axiom,
! [A,L] :
~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax10_basics) ).
tff(f_57,axiom,
! [X,Y] :
( right_apart_point(X,Y)
<=> left_apart_point(X,reverse_line(Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a2_defns) ).
tff(f_77,axiom,
! [A,L] :
( apart_point_and_line(A,L)
<=> ( left_apart_point(A,L)
| right_apart_point(A,L) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a6_defns) ).
tff(f_288,negated_conjecture,
~ ! [A,B,L] :
( ( apart_point_and_line(A,L)
& incident_point_and_line(B,parallel_lines(L,A)) )
=> apart_point_and_line(B,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(c_92,plain,
! [A_44,L_45] : ~ left_apart_point(A_44,L_45),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_6,plain,
! [X_3,Y_4] :
( left_apart_point(X_3,reverse_line(Y_4))
| ~ right_apart_point(X_3,Y_4) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_152,plain,
! [X_3,Y_4] : ~ right_apart_point(X_3,Y_4),
inference(negUnitSimplification,[status(thm)],[c_92,c_6]) ).
tff(c_22,plain,
! [A_11,L_12] :
( right_apart_point(A_11,L_12)
| left_apart_point(A_11,L_12)
| ~ apart_point_and_line(A_11,L_12) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_150,plain,
! [A_11,L_12] :
( right_apart_point(A_11,L_12)
| ~ apart_point_and_line(A_11,L_12) ),
inference(negUnitSimplification,[status(thm)],[c_92,c_22]) ).
tff(c_153,plain,
! [A_11,L_12] : ~ apart_point_and_line(A_11,L_12),
inference(negUnitSimplification,[status(thm)],[c_152,c_150]) ).
tff(c_138,plain,
apart_point_and_line('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_288]) ).
tff(c_154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153,c_138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO248+3 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.15/0.36 % Computer : n020.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 00:20:07 EDT 2023
% 0.15/0.36 % CPUTime :
% 3.22/1.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.22/1.77
% 3.22/1.77 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.39/1.81
% 3.39/1.81 Inference rules
% 3.39/1.81 ----------------------
% 3.39/1.81 #Ref : 0
% 3.39/1.81 #Sup : 0
% 3.39/1.81 #Fact : 0
% 3.39/1.81 #Define : 0
% 3.39/1.81 #Split : 0
% 3.39/1.81 #Chain : 0
% 3.39/1.81 #Close : 0
% 3.39/1.81
% 3.39/1.81 Ordering : KBO
% 3.39/1.81
% 3.39/1.81 Simplification rules
% 3.39/1.81 ----------------------
% 3.39/1.81 #Subsume : 68
% 3.39/1.81 #Demod : 0
% 3.39/1.81 #Tautology : 0
% 3.39/1.81 #SimpNegUnit : 16
% 3.39/1.81 #BackRed : 0
% 3.39/1.81
% 3.39/1.81 #Partial instantiations: 0
% 3.39/1.81 #Strategies tried : 1
% 3.39/1.81
% 3.39/1.81 Timing (in seconds)
% 3.39/1.81 ----------------------
% 3.39/1.81 Preprocessing : 0.57
% 3.39/1.81 Parsing : 0.31
% 3.39/1.81 CNF conversion : 0.05
% 3.39/1.81 Main loop : 0.15
% 3.39/1.81 Inferencing : 0.00
% 3.39/1.81 Reduction : 0.07
% 3.39/1.81 Demodulation : 0.05
% 3.39/1.81 BG Simplification : 0.03
% 3.39/1.81 Subsumption : 0.06
% 3.39/1.81 Abstraction : 0.01
% 3.39/1.81 MUC search : 0.00
% 3.39/1.81 Cooper : 0.00
% 3.39/1.81 Total : 0.77
% 3.39/1.81 Index Insertion : 0.00
% 3.39/1.81 Index Deletion : 0.00
% 3.39/1.82 Index Matching : 0.00
% 3.39/1.82 BG Taut test : 0.00
%------------------------------------------------------------------------------