%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO220+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 : n026.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 4.00s 1.96s
% Output : CNFRefutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 7 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 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_434,negated_conjecture,
~ ! [L,M,N] :
( ( orthogonal_lines(L,M)
& orthogonal_lines(L,N) )
=> parallel_lines(M,N) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_415,axiom,
! [X,Y] :
( parallel_lines(X,Y)
<=> ~ convergent_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a3) ).
tff(f_320,axiom,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',couo1) ).
tff(f_425,axiom,
! [X,Y] :
( orthogonal_lines(X,Y)
<=> ~ unorthogonal_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a5) ).
tff(c_96,plain,
orthogonal_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_434]) ).
tff(c_98,plain,
orthogonal_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_434]) ).
tff(c_113,plain,
! [X_97,Y_98] :
( parallel_lines(X_97,Y_98)
| convergent_lines(X_97,Y_98) ),
inference(cnfTransformation,[status(thm)],[f_415]) ).
tff(c_94,plain,
~ parallel_lines('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_434]) ).
tff(c_117,plain,
convergent_lines('#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_113,c_94]) ).
tff(c_178,plain,
! [M_135,N_136,L_137] :
( ~ convergent_lines(M_135,N_136)
| unorthogonal_lines(L_137,N_136)
| unorthogonal_lines(L_137,M_135) ),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_204,plain,
! [L_141] :
( unorthogonal_lines(L_141,'#skF_3')
| unorthogonal_lines(L_141,'#skF_2') ),
inference(resolution,[status(thm)],[c_117,c_178]) ).
tff(c_90,plain,
! [X_80,Y_81] :
( ~ unorthogonal_lines(X_80,Y_81)
| ~ orthogonal_lines(X_80,Y_81) ),
inference(cnfTransformation,[status(thm)],[f_425]) ).
tff(c_231,plain,
! [L_145] :
( ~ orthogonal_lines(L_145,'#skF_2')
| unorthogonal_lines(L_145,'#skF_3') ),
inference(resolution,[status(thm)],[c_204,c_90]) ).
tff(c_388,plain,
! [L_168] :
( ~ orthogonal_lines(L_168,'#skF_3')
| ~ orthogonal_lines(L_168,'#skF_2') ),
inference(resolution,[status(thm)],[c_231,c_90]) ).
tff(c_395,plain,
~ orthogonal_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_98,c_388]) ).
tff(c_400,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_96,c_395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO220+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/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
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 7 20:00:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 4.00/1.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.00/1.97
% 4.00/1.97 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------