%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO183+2 : 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 : n029.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 06:14:04 PM UTC 2025
% Result : Theorem 4.12s 2.04s
% Output : CNFRefutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 37 ( 15 ~; 14 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > 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(distinct_points,type,
distinct_points: ( $i * $i ) > $o ).
tff(intersection_point,type,
intersection_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('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(f_57,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(f_144,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& ~ distinct_lines(U,line_connecting(X,Y)) )
=> ( ~ apart_point_and_line(X,U)
& ~ apart_point_and_line(Y,U) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_124,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq2) ).
tff(f_90,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( apart_point_and_line(Z,line_connecting(X,Y))
=> ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con1) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_36,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_30,plain,
( apart_point_and_line('#skF_2','#skF_3')
| apart_point_and_line('#skF_1','#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_50,plain,
apart_point_and_line('#skF_1','#skF_3'),
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_99,plain,
! [X_48,Z_49,Y_50] :
( apart_point_and_line(X_48,Z_49)
| distinct_lines(Y_50,Z_49)
| ~ apart_point_and_line(X_48,Y_50) ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_103,plain,
! [Z_51] :
( apart_point_and_line('#skF_1',Z_51)
| distinct_lines('#skF_3',Z_51) ),
inference(resolution,[status(thm)],[c_50,c_99]) ).
tff(c_32,plain,
~ distinct_lines('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_114,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_103,c_32]) ).
tff(c_157,plain,
! [Z_58,X_59,Y_60] :
( distinct_points(Z_58,X_59)
| ~ apart_point_and_line(Z_58,line_connecting(X_59,Y_60))
| ~ distinct_points(X_59,Y_60) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_163,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_114,c_157]) ).
tff(c_169,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_163]) ).
tff(c_171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_169]) ).
tff(c_172,plain,
apart_point_and_line('#skF_2','#skF_3'),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_239,plain,
! [X_77,Z_78,Y_79] :
( apart_point_and_line(X_77,Z_78)
| distinct_lines(Y_79,Z_78)
| ~ apart_point_and_line(X_77,Y_79) ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_243,plain,
! [Z_80] :
( apart_point_and_line('#skF_2',Z_80)
| distinct_lines('#skF_3',Z_80) ),
inference(resolution,[status(thm)],[c_172,c_239]) ).
tff(c_254,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_243,c_32]) ).
tff(c_881,plain,
! [Z_127,Y_128,X_129] :
( distinct_points(Z_127,Y_128)
| ~ apart_point_and_line(Z_127,line_connecting(X_129,Y_128))
| ~ distinct_points(X_129,Y_128) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_887,plain,
( distinct_points('#skF_2','#skF_2')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_254,c_881]) ).
tff(c_893,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_887]) ).
tff(c_895,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_893]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO183+2 : TPTP v9.0.0. Released v3.3.0.
% 0.10/0.12 % 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
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 7 19:55:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 4.12/2.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.12/2.04
% 4.12/2.04 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------