%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO215+1 : TPTP v9.0.0. Released v3.3.0.
% 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 : n010.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 06:14:17 PM UTC 2025
% Result : Theorem 5.85s 2.38s
% Output : CNFRefutation 5.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 60 ( 17 ~; 37 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ unorthogonal_lines > distinct_points > distinct_lines > convergent_lines > apart_point_and_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(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('#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(f_239,negated_conjecture,
~ ! [L,M,N] :
( convergent_lines(L,M)
=> ( unorthogonal_lines(L,N)
| unorthogonal_lines(M,N) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_77,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).
tff(f_59,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_130,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq3) ).
tff(f_230,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_93,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).
tff(f_98,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci4) ).
tff(c_56,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_83,plain,
! [Y_77,Z_78,X_79] :
( convergent_lines(Y_77,Z_78)
| convergent_lines(X_79,Z_78)
| ~ convergent_lines(X_79,Y_77) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_96,plain,
! [Z_80] :
( convergent_lines('#skF_2',Z_80)
| convergent_lines('#skF_1',Z_80) ),
inference(resolution,[status(thm)],[c_56,c_83]) ).
tff(c_12,plain,
! [Y_11,Z_12,X_10] :
( convergent_lines(Y_11,Z_12)
| convergent_lines(X_10,Z_12)
| ~ convergent_lines(X_10,Y_11) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_172,plain,
! [Z_100,Z_101] :
( convergent_lines(Z_100,Z_101)
| convergent_lines('#skF_2',Z_101)
| convergent_lines('#skF_1',Z_100) ),
inference(resolution,[status(thm)],[c_96,c_12]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_199,plain,
! [Z_102] :
( convergent_lines(Z_102,'#skF_2')
| convergent_lines('#skF_1',Z_102) ),
inference(resolution,[status(thm)],[c_172,c_6]) ).
tff(c_1061,plain,
! [Z_186,Z_187] :
( convergent_lines(Z_186,Z_187)
| convergent_lines('#skF_1',Z_187)
| convergent_lines(Z_186,'#skF_2') ),
inference(resolution,[status(thm)],[c_199,c_12]) ).
tff(c_1109,plain,
! [Z_191] :
( convergent_lines(Z_191,'#skF_1')
| convergent_lines(Z_191,'#skF_2') ),
inference(resolution,[status(thm)],[c_1061,c_6]) ).
tff(c_1125,plain,
convergent_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_1109,c_6]) ).
tff(c_244,plain,
! [X_111,Z_112,Y_113] :
( convergent_lines(X_111,Z_112)
| distinct_lines(Y_113,Z_112)
| ~ convergent_lines(X_111,Y_113) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_298,plain,
! [Z_112] :
( convergent_lines('#skF_1',Z_112)
| distinct_lines('#skF_2',Z_112) ),
inference(resolution,[status(thm)],[c_56,c_244]) ).
tff(c_1524,plain,
! [M_219,N_220,L_221,A_222] :
( unorthogonal_lines(M_219,N_220)
| unorthogonal_lines(L_221,N_220)
| apart_point_and_line(A_222,M_219)
| apart_point_and_line(A_222,L_221)
| ~ distinct_lines(L_221,M_219) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_1803,plain,
! [Z_229,N_230,A_231] :
( unorthogonal_lines(Z_229,N_230)
| unorthogonal_lines('#skF_2',N_230)
| apart_point_and_line(A_231,Z_229)
| apart_point_and_line(A_231,'#skF_2')
| convergent_lines('#skF_1',Z_229) ),
inference(resolution,[status(thm)],[c_298,c_1524]) ).
tff(c_52,plain,
~ unorthogonal_lines('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_2220,plain,
! [Z_245,A_246] :
( unorthogonal_lines(Z_245,'#skF_3')
| apart_point_and_line(A_246,Z_245)
| apart_point_and_line(A_246,'#skF_2')
| convergent_lines('#skF_1',Z_245) ),
inference(resolution,[status(thm)],[c_1803,c_52]) ).
tff(c_54,plain,
~ unorthogonal_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_2238,plain,
! [A_246] :
( apart_point_and_line(A_246,'#skF_1')
| apart_point_and_line(A_246,'#skF_2')
| convergent_lines('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_2220,c_54]) ).
tff(c_2315,plain,
! [A_248] :
( apart_point_and_line(A_248,'#skF_1')
| apart_point_and_line(A_248,'#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_6,c_2238]) ).
tff(c_18,plain,
! [X_17,Y_18] :
( ~ apart_point_and_line(intersection_point(X_17,Y_18),X_17)
| ~ convergent_lines(X_17,Y_18) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_2351,plain,
! [Y_250] :
( ~ convergent_lines('#skF_2',Y_250)
| apart_point_and_line(intersection_point('#skF_2',Y_250),'#skF_1') ),
inference(resolution,[status(thm)],[c_2315,c_18]) ).
tff(c_20,plain,
! [X_19,Y_20] :
( ~ apart_point_and_line(intersection_point(X_19,Y_20),Y_20)
| ~ convergent_lines(X_19,Y_20) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_2359,plain,
~ convergent_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_2351,c_20]) ).
tff(c_2365,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1125,c_2359]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO215+1 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.13 % 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 : n010.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 19:59:17 EDT 2025
% 0.13/0.34 % CPUTime :
% 5.85/2.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.85/2.39
% 5.85/2.39 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------