%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO221+3 : TPTP v9.0.0. Released v4.0.0.
% 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 : n013.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 : Wed Apr 9 06:14:20 PM UTC 2025
% Result : Theorem 6.18s 2.54s
% Output : CNFRefutation 6.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 30 ( 12 ~; 14 |; 0 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ unorthogonal_lines > parallel_lines > orthogonal_lines > incident_point_and_line > equal_points > equal_lines > 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_3 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(line_connecting,type,
line_connecting: ( $i * $i ) > $i ).
tff(equal_lines,type,
equal_lines: ( $i * $i ) > $o ).
tff(equal_points,type,
equal_points: ( $i * $i ) > $o ).
tff(incident_point_and_line,type,
incident_point_and_line: ( $i * $i ) > $o ).
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(parallel_lines,type,
parallel_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(unorthogonal_lines,type,
unorthogonal_lines: ( $i * $i ) > $o ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(orthogonal_lines,type,
orthogonal_lines: ( $i * $i ) > $o ).
tff(f_246,axiom,
! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc1) ).
tff(f_433,negated_conjecture,
~ ! [A,B,L] :
( incident_point_and_line(B,orthogonal_through_point(L,A))
=> equal_lines(orthogonal_through_point(L,A),orthogonal_through_point(L,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_421,axiom,
! [X,Y] :
( incident_point_and_line(X,Y)
<=> ~ apart_point_and_line(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a4) ).
tff(f_411,axiom,
! [X,Y] :
( equal_lines(X,Y)
<=> ~ distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax2) ).
tff(f_260,axiom,
! [A,L,M,N] :
( distinct_lines(L,M)
=> ( apart_point_and_line(A,L)
| apart_point_and_line(A,M)
| unorthogonal_lines(L,N)
| unorthogonal_lines(M,N) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ouo1) ).
tff(f_249,axiom,
! [A,L] : ~ apart_point_and_line(A,orthogonal_through_point(L,A)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc2) ).
tff(c_48,plain,
! [L_49,A_48] : ~ unorthogonal_lines(orthogonal_through_point(L_49,A_48),L_49),
inference(cnfTransformation,[status(thm)],[f_246]) ).
tff(c_96,plain,
incident_point_and_line('#skF_2',orthogonal_through_point('#skF_3','#skF_1')),
inference(cnfTransformation,[status(thm)],[f_433]) ).
tff(c_140,plain,
! [X_113,Y_114] :
( ~ apart_point_and_line(X_113,Y_114)
| ~ incident_point_and_line(X_113,Y_114) ),
inference(cnfTransformation,[status(thm)],[f_421]) ).
tff(c_148,plain,
~ apart_point_and_line('#skF_2',orthogonal_through_point('#skF_3','#skF_1')),
inference(resolution,[status(thm)],[c_96,c_140]) ).
tff(c_106,plain,
! [X_97,Y_98] :
( equal_lines(X_97,Y_98)
| distinct_lines(X_97,Y_98) ),
inference(cnfTransformation,[status(thm)],[f_411]) ).
tff(c_94,plain,
~ equal_lines(orthogonal_through_point('#skF_3','#skF_1'),orthogonal_through_point('#skF_3','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_433]) ).
tff(c_110,plain,
distinct_lines(orthogonal_through_point('#skF_3','#skF_1'),orthogonal_through_point('#skF_3','#skF_2')),
inference(resolution,[status(thm)],[c_106,c_94]) ).
tff(c_2486,plain,
! [M_455,N_456,L_457,A_458] :
( unorthogonal_lines(M_455,N_456)
| unorthogonal_lines(L_457,N_456)
| apart_point_and_line(A_458,M_455)
| apart_point_and_line(A_458,L_457)
| ~ distinct_lines(L_457,M_455) ),
inference(cnfTransformation,[status(thm)],[f_260]) ).
tff(c_2621,plain,
! [N_456,A_458] :
( unorthogonal_lines(orthogonal_through_point('#skF_3','#skF_2'),N_456)
| unorthogonal_lines(orthogonal_through_point('#skF_3','#skF_1'),N_456)
| apart_point_and_line(A_458,orthogonal_through_point('#skF_3','#skF_2'))
| apart_point_and_line(A_458,orthogonal_through_point('#skF_3','#skF_1')) ),
inference(resolution,[status(thm)],[c_110,c_2486]) ).
tff(c_2758,plain,
! [A_467] :
( apart_point_and_line(A_467,orthogonal_through_point('#skF_3','#skF_2'))
| apart_point_and_line(A_467,orthogonal_through_point('#skF_3','#skF_1')) ),
inference(splitLeft,[status(thm)],[c_2621]) ).
tff(c_50,plain,
! [A_50,L_51] : ~ apart_point_and_line(A_50,orthogonal_through_point(L_51,A_50)),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_2774,plain,
apart_point_and_line('#skF_2',orthogonal_through_point('#skF_3','#skF_1')),
inference(resolution,[status(thm)],[c_2758,c_50]) ).
tff(c_2782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148,c_2774]) ).
tff(c_2784,plain,
! [N_468] :
( unorthogonal_lines(orthogonal_through_point('#skF_3','#skF_2'),N_468)
| unorthogonal_lines(orthogonal_through_point('#skF_3','#skF_1'),N_468) ),
inference(splitRight,[status(thm)],[c_2621]) ).
tff(c_2805,plain,
unorthogonal_lines(orthogonal_through_point('#skF_3','#skF_1'),'#skF_3'),
inference(resolution,[status(thm)],[c_2784,c_48]) ).
tff(c_2817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48,c_2805]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO221+3 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.13 % 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
% 0.13/0.32 % Computer : n013.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Mon Apr 7 19:59:47 EDT 2025
% 0.13/0.32 % CPUTime :
% 6.18/2.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.18/2.54
% 6.18/2.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------