%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO209+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/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 : n007.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 06:14:15 PM UTC 2025
% Result : Theorem 4.07s 1.93s
% Output : CNFRefutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 27 ( 10 ~; 8 |; 4 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 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 > #skF_4
%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('#skF_4',type,
'#skF_4': $i ).
tff(orthogonal_lines,type,
orthogonal_lines: ( $i * $i ) > $o ).
tff(f_441,negated_conjecture,
~ ! [A,L,M,N] :
( ( apart_point_and_line(A,L)
& incident_point_and_line(A,M)
& incident_point_and_line(A,N)
& parallel_lines(M,L)
& parallel_lines(N,L) )
=> equal_lines(M,N) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_416,axiom,
! [X,Y] :
( parallel_lines(X,Y)
<=> ~ convergent_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a3) ).
tff(f_411,axiom,
! [X,Y] :
( equal_lines(X,Y)
<=> ~ distinct_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',ax2) ).
tff(f_160,axiom,
! [X,Y] :
( distinct_lines(X,Y)
=> convergent_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax',p1) ).
tff(f_132,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq3) ).
tff(c_96,plain,
parallel_lines('#skF_4','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_113,plain,
! [X_95,Y_96] :
( ~ convergent_lines(X_95,Y_96)
| ~ parallel_lines(X_95,Y_96) ),
inference(cnfTransformation,[status(thm)],[f_416]) ).
tff(c_120,plain,
~ convergent_lines('#skF_4','#skF_2'),
inference(resolution,[status(thm)],[c_96,c_113]) ).
tff(c_159,plain,
! [X_113,Y_114] :
( equal_lines(X_113,Y_114)
| distinct_lines(X_113,Y_114) ),
inference(cnfTransformation,[status(thm)],[f_411]) ).
tff(c_94,plain,
~ equal_lines('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_163,plain,
distinct_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_159,c_94]) ).
tff(c_30,plain,
! [X_34,Y_35] :
( convergent_lines(X_34,Y_35)
| ~ distinct_lines(X_34,Y_35) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_167,plain,
convergent_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_163,c_30]) ).
tff(c_207,plain,
! [X_139,Z_140,Y_141] :
( convergent_lines(X_139,Z_140)
| distinct_lines(Y_141,Z_140)
| ~ convergent_lines(X_139,Y_141) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_214,plain,
! [Z_142] :
( convergent_lines('#skF_3',Z_142)
| distinct_lines('#skF_4',Z_142) ),
inference(resolution,[status(thm)],[c_167,c_207]) ).
tff(c_225,plain,
! [Z_143] :
( convergent_lines('#skF_4',Z_143)
| convergent_lines('#skF_3',Z_143) ),
inference(resolution,[status(thm)],[c_214,c_30]) ).
tff(c_98,plain,
parallel_lines('#skF_3','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_441]) ).
tff(c_121,plain,
~ convergent_lines('#skF_3','#skF_2'),
inference(resolution,[status(thm)],[c_98,c_113]) ).
tff(c_230,plain,
convergent_lines('#skF_4','#skF_2'),
inference(resolution,[status(thm)],[c_225,c_121]) ).
tff(c_239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO209+3 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 7 19:58:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 4.07/1.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.07/1.93
% 4.07/1.93 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------