%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO189+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 : n009.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 06:14:07 PM UTC 2025
% Result : Theorem 8.17s 2.98s
% Output : CNFRefutation 8.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 75 ( 19 ~; 45 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > 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(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(f_58,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(f_144,negated_conjecture,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& distinct_points(X,Z)
& distinct_points(Y,Z)
& ~ apart_point_and_line(Z,line_connecting(X,Y)) )
=> ~ apart_point_and_line(Y,line_connecting(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_125,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_112,axiom,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_lines(U,V) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',cu1) ).
tff(f_91,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(f_119,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq1) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_38,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_36,plain,
distinct_points('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_30,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_3')),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_99,plain,
! [X_49,Z_50,Y_51] :
( apart_point_and_line(X_49,Z_50)
| distinct_lines(Y_51,Z_50)
| ~ apart_point_and_line(X_49,Y_51) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_105,plain,
! [Z_50] :
( apart_point_and_line('#skF_2',Z_50)
| distinct_lines(line_connecting('#skF_1','#skF_3'),Z_50) ),
inference(resolution,[status(thm)],[c_30,c_99]) ).
tff(c_1646,plain,
! [Y_136,V_137,U_138,X_139] :
( apart_point_and_line(Y_136,V_137)
| apart_point_and_line(Y_136,U_138)
| apart_point_and_line(X_139,V_137)
| apart_point_and_line(X_139,U_138)
| ~ distinct_lines(U_138,V_137)
| ~ distinct_points(X_139,Y_136) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1841,plain,
! [Y_147,Z_148,X_149] :
( apart_point_and_line(Y_147,Z_148)
| apart_point_and_line(Y_147,line_connecting('#skF_1','#skF_3'))
| apart_point_and_line(X_149,Z_148)
| apart_point_and_line(X_149,line_connecting('#skF_1','#skF_3'))
| ~ distinct_points(X_149,Y_147)
| apart_point_and_line('#skF_2',Z_148) ),
inference(resolution,[status(thm)],[c_105,c_1646]) ).
tff(c_2128,plain,
! [Z_148] :
( apart_point_and_line('#skF_3',Z_148)
| apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_1',Z_148)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_2',Z_148) ),
inference(resolution,[status(thm)],[c_36,c_1841]) ).
tff(c_6356,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_2128]) ).
tff(c_16,plain,
! [Z_15,X_13,Y_14] :
( distinct_points(Z_15,X_13)
| ~ apart_point_and_line(Z_15,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_6366,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_3') ),
inference(resolution,[status(thm)],[c_6356,c_16]) ).
tff(c_6378,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_6366]) ).
tff(c_6380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_6378]) ).
tff(c_6381,plain,
! [Z_148] :
( apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3'))
| apart_point_and_line('#skF_3',Z_148)
| apart_point_and_line('#skF_1',Z_148)
| apart_point_and_line('#skF_2',Z_148) ),
inference(splitRight,[status(thm)],[c_2128]) ).
tff(c_6700,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_3')),
inference(splitLeft,[status(thm)],[c_6381]) ).
tff(c_14,plain,
! [Z_15,Y_14,X_13] :
( distinct_points(Z_15,Y_14)
| ~ apart_point_and_line(Z_15,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_6707,plain,
( distinct_points('#skF_3','#skF_3')
| ~ distinct_points('#skF_1','#skF_3') ),
inference(resolution,[status(thm)],[c_6700,c_14]) ).
tff(c_6719,plain,
distinct_points('#skF_3','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_6707]) ).
tff(c_6721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_6719]) ).
tff(c_6734,plain,
! [Z_274] :
( apart_point_and_line('#skF_3',Z_274)
| apart_point_and_line('#skF_1',Z_274)
| apart_point_and_line('#skF_2',Z_274) ),
inference(splitRight,[status(thm)],[c_6381]) ).
tff(c_24,plain,
! [Z_25,Y_24,X_23] :
( apart_point_and_line(Z_25,Y_24)
| distinct_points(X_23,Z_25)
| ~ apart_point_and_line(X_23,Y_24) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_6786,plain,
! [Z_277,Z_278] :
( apart_point_and_line(Z_277,Z_278)
| distinct_points('#skF_2',Z_277)
| apart_point_and_line('#skF_3',Z_278)
| apart_point_and_line('#skF_1',Z_278) ),
inference(resolution,[status(thm)],[c_6734,c_24]) ).
tff(c_32,plain,
~ apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_6867,plain,
! [Z_277] :
( apart_point_and_line(Z_277,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_2',Z_277)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_6786,c_32]) ).
tff(c_7256,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_6867]) ).
tff(c_7266,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_7256,c_16]) ).
tff(c_7278,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_7266]) ).
tff(c_7280,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_7278]) ).
tff(c_7285,plain,
! [Z_291] :
( apart_point_and_line(Z_291,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_2',Z_291) ),
inference(splitRight,[status(thm)],[c_6867]) ).
tff(c_7299,plain,
! [Z_291] :
( distinct_points(Z_291,'#skF_2')
| ~ distinct_points('#skF_1','#skF_2')
| distinct_points('#skF_2',Z_291) ),
inference(resolution,[status(thm)],[c_7285,c_14]) ).
tff(c_7321,plain,
! [Z_291] :
( distinct_points(Z_291,'#skF_2')
| distinct_points('#skF_2',Z_291) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_7299]) ).
tff(c_7341,plain,
distinct_points('#skF_2','#skF_2'),
inference(factorization,[status(thm),theory(equality)],[c_7321]) ).
tff(c_7345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_7341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : GEO189+2 : TPTP v9.0.0. Released v3.3.0.
% 0.13/0.13 % 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 : n009.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 19:55:56 EDT 2025
% 0.13/0.35 % CPUTime :
% 8.17/2.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.17/2.99
% 8.17/2.99 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------