%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO212+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 : n006.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 06:14:16 PM UTC 2025
% Result : Theorem 4.49s 2.11s
% Output : CNFRefutation 4.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 47 ( 14 ~; 27 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 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] :
( unorthogonal_lines(L,M)
=> ( convergent_lines(L,N)
| unorthogonal_lines(M,N) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_199,axiom,
! [L,M] :
( convergent_lines(L,M)
| unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',occu1) ).
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_212,axiom,
! [L,M,N] :
( ( convergent_lines(L,M)
& unorthogonal_lines(L,M) )
=> ( ( convergent_lines(L,N)
& unorthogonal_lines(L,N) )
| ( convergent_lines(M,N)
& unorthogonal_lines(M,N) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',oac1) ).
tff(c_54,plain,
~ convergent_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_64,plain,
! [L_65,M_66] :
( unorthogonal_lines(L_65,M_66)
| convergent_lines(L_65,M_66) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_52,plain,
~ unorthogonal_lines('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_73,plain,
convergent_lines('#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_64,c_52]) ).
tff(c_79,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_86,plain,
! [Z_80] :
( convergent_lines('#skF_3',Z_80)
| convergent_lines('#skF_2',Z_80) ),
inference(resolution,[status(thm)],[c_73,c_79]) ).
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_299,plain,
! [Z_125,Z_126] :
( convergent_lines(Z_125,Z_126)
| convergent_lines('#skF_2',Z_126)
| convergent_lines('#skF_3',Z_125) ),
inference(resolution,[status(thm)],[c_86,c_12]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_336,plain,
! [Z_127] :
( convergent_lines(Z_127,'#skF_2')
| convergent_lines('#skF_3',Z_127) ),
inference(resolution,[status(thm)],[c_299,c_6]) ).
tff(c_678,plain,
! [Z_149,Z_150] :
( convergent_lines(Z_149,Z_150)
| convergent_lines('#skF_3',Z_150)
| convergent_lines(Z_149,'#skF_2') ),
inference(resolution,[status(thm)],[c_336,c_12]) ).
tff(c_725,plain,
! [Z_151] :
( convergent_lines(Z_151,'#skF_3')
| convergent_lines(Z_151,'#skF_2') ),
inference(resolution,[status(thm)],[c_678,c_6]) ).
tff(c_56,plain,
unorthogonal_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_420,plain,
! [L_137,N_138,M_139] :
( convergent_lines(L_137,N_138)
| convergent_lines(M_139,N_138)
| ~ unorthogonal_lines(L_137,M_139)
| ~ convergent_lines(L_137,M_139) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_426,plain,
! [N_138] :
( convergent_lines('#skF_1',N_138)
| convergent_lines('#skF_2',N_138)
| ~ convergent_lines('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_56,c_420]) ).
tff(c_427,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(splitLeft,[status(thm)],[c_426]) ).
tff(c_728,plain,
convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_725,c_427]) ).
tff(c_744,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54,c_728]) ).
tff(c_746,plain,
convergent_lines('#skF_1','#skF_2'),
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_753,plain,
! [L_152,N_153,M_154] :
( convergent_lines(L_152,N_153)
| unorthogonal_lines(M_154,N_153)
| ~ unorthogonal_lines(L_152,M_154)
| ~ convergent_lines(L_152,M_154) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_757,plain,
! [N_153] :
( convergent_lines('#skF_1',N_153)
| unorthogonal_lines('#skF_2',N_153)
| ~ convergent_lines('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_56,c_753]) ).
tff(c_775,plain,
! [N_156] :
( convergent_lines('#skF_1',N_156)
| unorthogonal_lines('#skF_2',N_156) ),
inference(demodulation,[status(thm),theory(equality)],[c_746,c_757]) ).
tff(c_782,plain,
convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_775,c_52]) ).
tff(c_788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54,c_782]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO212+1 : TPTP v9.0.0. Released v3.3.0.
% 0.02/0.11 % 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
% 0.09/0.32 % Computer : n006.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Mon Apr 7 19:58:38 EDT 2025
% 0.09/0.32 % CPUTime :
% 4.49/2.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.49/2.11
% 4.49/2.11 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------