%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO232+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 : n022.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 06:14:24 PM UTC 2025
% Result : Theorem 3.97s 1.94s
% Output : CNFRefutation 4.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 5 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 19 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 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 > line_connecting > intersection_point > #nlpp > reverse_line > #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(equally_directed_lines,type,
equally_directed_lines: ( $i * $i ) > $o ).
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(right_convergent_lines,type,
right_convergent_lines: ( $i * $i ) > $o ).
tff(f_133,axiom,
! [L] : equally_directed_lines(L,L),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax5_basics) ).
tff(f_155,axiom,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).
tff(f_53,axiom,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
tff(f_284,negated_conjecture,
~ ! [L] : unequally_directed_opposite_lines(L,L),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_66,axiom,
! [X,Y] :
( equally_directed_lines(X,Y)
<=> ~ unequally_directed_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a4_defns) ).
tff(c_76,plain,
! [L_33] : equally_directed_lines(L_33,L_33),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_88,plain,
! [L_40,M_41] :
( unequally_directed_lines(L_40,reverse_line(M_41))
| unequally_directed_lines(L_40,M_41) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_217,plain,
! [X_131,Y_132] :
( unequally_directed_opposite_lines(X_131,Y_132)
| ~ unequally_directed_lines(X_131,reverse_line(Y_132)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_232,plain,
! [L_133,M_134] :
( unequally_directed_opposite_lines(L_133,M_134)
| unequally_directed_lines(L_133,M_134) ),
inference(resolution,[status(thm)],[c_88,c_217]) ).
tff(c_134,plain,
~ unequally_directed_opposite_lines('#skF_1','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_240,plain,
unequally_directed_lines('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_232,c_134]) ).
tff(c_14,plain,
! [X_7,Y_8] :
( ~ unequally_directed_lines(X_7,Y_8)
| ~ equally_directed_lines(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_243,plain,
~ equally_directed_lines('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_240,c_14]) ).
tff(c_247,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_76,c_243]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO232+3 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13 % 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
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 20:01:36 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.97/1.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.97/1.94
% 3.97/1.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------