TSTP Solution File: GEO203+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO203+3 : TPTP v8.1.2. 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 : n032.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 : Tue Aug 22 10:38:38 EDT 2023
% Result : Theorem 47.08s 35.29s
% Output : CNFRefutation 47.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 37
% Syntax : Number of formulae : 108 ( 37 unt; 19 typ; 0 def)
% Number of atoms : 198 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 170 ( 61 ~; 86 |; 9 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 16 >; 14 *; 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 : 137 (; 137 !; 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_62,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_438,negated_conjecture,
~ ! [X,Y,Z] :
( ( convergent_lines(X,Y)
& convergent_lines(X,Z)
& distinct_points(intersection_point(X,Y),intersection_point(X,Z)) )
=> equal_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_412,axiom,
! [X,Y] :
( equal_lines(X,Y)
<=> ~ distinct_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',ax2) ).
tff(f_114,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/sandbox2/benchmark/Axioms/GEO006+0.ax',cu1) ).
tff(f_86,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci1) ).
tff(f_96,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci3) ).
tff(f_293,axiom,
! [L,M] :
~ ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',coipo1) ).
tff(f_247,axiom,
! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ooc1) ).
tff(f_133,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq3) ).
tff(f_161,axiom,
! [X,Y] :
( distinct_lines(X,Y)
=> convergent_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax',p1) ).
tff(f_427,axiom,
! [X,Y] :
( orthogonal_lines(X,Y)
<=> ~ unorthogonal_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a5) ).
tff(f_312,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/sandbox2/benchmark/Axioms/GEO006+4.ax',cotno1) ).
tff(f_101,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci4) ).
tff(f_127,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq2) ).
tff(f_250,axiom,
! [A,L] : ~ apart_point_and_line(A,orthogonal_through_point(L,A)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ooc2) ).
tff(f_243,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/sandbox2/benchmark/Axioms/GEO006+3.ax',oac1) ).
tff(f_322,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_68,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart4) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_98,plain,
convergent_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_96,plain,
distinct_points(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_80,plain,
! [X_74,Y_75] :
( equal_lines(X_74,Y_75)
| distinct_lines(X_74,Y_75) ),
inference(cnfTransformation,[status(thm)],[f_412]) ).
tff(c_94,plain,
~ equal_lines(line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_138,plain,
distinct_lines(line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')),'#skF_1'),
inference(resolution,[status(thm)],[c_80,c_94]) ).
tff(c_3463,plain,
! [Y_384,V_385,U_386,X_387] :
( apart_point_and_line(Y_384,V_385)
| apart_point_and_line(Y_384,U_386)
| apart_point_and_line(X_387,V_385)
| apart_point_and_line(X_387,U_386)
| ~ distinct_lines(U_386,V_385)
| ~ distinct_points(X_387,Y_384) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_42047,plain,
! [Y_1950,X_1951] :
( apart_point_and_line(Y_1950,'#skF_1')
| apart_point_and_line(Y_1950,line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| apart_point_and_line(X_1951,'#skF_1')
| apart_point_and_line(X_1951,line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| ~ distinct_points(X_1951,Y_1950) ),
inference(resolution,[status(thm)],[c_138,c_3463]) ).
tff(c_42071,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3'))) ),
inference(resolution,[status(thm)],[c_96,c_42047]) ).
tff(c_42250,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3'))),
inference(splitLeft,[status(thm)],[c_42071]) ).
tff(c_14,plain,
! [X_13,Y_14] :
( ~ apart_point_and_line(X_13,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_42433,plain,
~ distinct_points(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')),
inference(resolution,[status(thm)],[c_42250,c_14]) ).
tff(c_42439,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_96,c_42433]) ).
tff(c_42440,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1') ),
inference(splitRight,[status(thm)],[c_42071]) ).
tff(c_42888,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_42440]) ).
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_96]) ).
tff(c_42895,plain,
~ convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_42888,c_18]) ).
tff(c_42901,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_98,c_42895]) ).
tff(c_42903,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1'),
inference(splitRight,[status(thm)],[c_42440]) ).
tff(c_116,plain,
! [L_101,M_102] :
( unorthogonal_lines(L_101,M_102)
| convergent_lines(L_101,M_102) ),
inference(cnfTransformation,[status(thm)],[f_293]) ).
tff(c_48,plain,
! [L_49,A_48] : ~ unorthogonal_lines(orthogonal_through_point(L_49,A_48),L_49),
inference(cnfTransformation,[status(thm)],[f_247]) ).
tff(c_121,plain,
! [M_102,A_48] : convergent_lines(orthogonal_through_point(M_102,A_48),M_102),
inference(resolution,[status(thm)],[c_116,c_48]) ).
tff(c_190,plain,
! [X_141,Z_142,Y_143] :
( convergent_lines(X_141,Z_142)
| distinct_lines(Y_143,Z_142)
| ~ convergent_lines(X_141,Y_143) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_321,plain,
! [M_163,A_164,Z_165] :
( convergent_lines(orthogonal_through_point(M_163,A_164),Z_165)
| distinct_lines(M_163,Z_165) ),
inference(resolution,[status(thm)],[c_121,c_190]) ).
tff(c_333,plain,
! [M_166,A_167] : distinct_lines(M_166,orthogonal_through_point(M_166,A_167)),
inference(resolution,[status(thm)],[c_321,c_6]) ).
tff(c_30,plain,
! [X_34,Y_35] :
( convergent_lines(X_34,Y_35)
| ~ distinct_lines(X_34,Y_35) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_340,plain,
! [M_166,A_167] : convergent_lines(M_166,orthogonal_through_point(M_166,A_167)),
inference(resolution,[status(thm)],[c_333,c_30]) ).
tff(c_92,plain,
! [X_80,Y_81] :
( orthogonal_lines(X_80,Y_81)
| unorthogonal_lines(X_80,Y_81) ),
inference(cnfTransformation,[status(thm)],[f_427]) ).
tff(c_2255,plain,
! [L_331,M_332,N_333] :
( unorthogonal_lines(L_331,M_332)
| convergent_lines(L_331,N_333)
| ~ unorthogonal_lines(M_332,N_333)
| ~ convergent_lines(M_332,N_333) ),
inference(cnfTransformation,[status(thm)],[f_312]) ).
tff(c_6312,plain,
! [L_499,X_500,Y_501] :
( unorthogonal_lines(L_499,X_500)
| convergent_lines(L_499,Y_501)
| ~ convergent_lines(X_500,Y_501)
| orthogonal_lines(X_500,Y_501) ),
inference(resolution,[status(thm)],[c_92,c_2255]) ).
tff(c_6970,plain,
! [Y_519,X_520] :
( unorthogonal_lines(Y_519,X_520)
| ~ convergent_lines(X_520,Y_519)
| orthogonal_lines(X_520,Y_519) ),
inference(resolution,[status(thm)],[c_6312,c_6]) ).
tff(c_6991,plain,
! [X_520,A_48] :
( ~ convergent_lines(X_520,orthogonal_through_point(X_520,A_48))
| orthogonal_lines(X_520,orthogonal_through_point(X_520,A_48)) ),
inference(resolution,[status(thm)],[c_6970,c_48]) ).
tff(c_7002,plain,
! [X_520,A_48] : orthogonal_lines(X_520,orthogonal_through_point(X_520,A_48)),
inference(demodulation,[status(thm),theory(equality)],[c_340,c_6991]) ).
tff(c_100,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_199,plain,
! [Z_142] :
( convergent_lines('#skF_1',Z_142)
| distinct_lines('#skF_2',Z_142) ),
inference(resolution,[status(thm)],[c_100,c_190]) ).
tff(c_29774,plain,
! [Y_1418,Z_1419,X_1420] :
( apart_point_and_line(Y_1418,Z_1419)
| apart_point_and_line(Y_1418,'#skF_2')
| apart_point_and_line(X_1420,Z_1419)
| apart_point_and_line(X_1420,'#skF_2')
| ~ distinct_points(X_1420,Y_1418)
| convergent_lines('#skF_1',Z_1419) ),
inference(resolution,[status(thm)],[c_199,c_3463]) ).
tff(c_29792,plain,
! [Z_1419] :
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),Z_1419)
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_1419)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| convergent_lines('#skF_1',Z_1419) ),
inference(resolution,[status(thm)],[c_96,c_29774]) ).
tff(c_30027,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_29792]) ).
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_101]) ).
tff(c_30096,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_30027,c_20]) ).
tff(c_30102,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_100,c_30096]) ).
tff(c_30103,plain,
! [Z_1419] :
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),Z_1419)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_1419)
| convergent_lines('#skF_1',Z_1419) ),
inference(splitRight,[status(thm)],[c_29792]) ).
tff(c_30240,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_30103]) ).
tff(c_26,plain,
! [X_28,Z_30,Y_29] :
( apart_point_and_line(X_28,Z_30)
| distinct_lines(Y_29,Z_30)
| ~ apart_point_and_line(X_28,Y_29) ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_32319,plain,
! [Z_1559] :
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),Z_1559)
| distinct_lines('#skF_2',Z_1559) ),
inference(resolution,[status(thm)],[c_30240,c_26]) ).
tff(c_50,plain,
! [A_50,L_51] : ~ apart_point_and_line(A_50,orthogonal_through_point(L_51,A_50)),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_33040,plain,
! [L_1584] : distinct_lines('#skF_2',orthogonal_through_point(L_1584,intersection_point('#skF_1','#skF_3'))),
inference(resolution,[status(thm)],[c_32319,c_50]) ).
tff(c_33053,plain,
! [L_1584] : convergent_lines('#skF_2',orthogonal_through_point(L_1584,intersection_point('#skF_1','#skF_3'))),
inference(resolution,[status(thm)],[c_33040,c_30]) ).
tff(c_1982,plain,
! [L_318,N_319,M_320] :
( unorthogonal_lines(L_318,N_319)
| unorthogonal_lines(M_320,N_319)
| ~ unorthogonal_lines(L_318,M_320)
| ~ convergent_lines(L_318,M_320) ),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_5936,plain,
! [X_484,N_485,Y_486] :
( unorthogonal_lines(X_484,N_485)
| unorthogonal_lines(Y_486,N_485)
| ~ convergent_lines(X_484,Y_486)
| orthogonal_lines(X_484,Y_486) ),
inference(resolution,[status(thm)],[c_92,c_1982]) ).
tff(c_37415,plain,
! [X_1753,N_1754,A_1755] :
( unorthogonal_lines(X_1753,N_1754)
| ~ convergent_lines(X_1753,orthogonal_through_point(N_1754,A_1755))
| orthogonal_lines(X_1753,orthogonal_through_point(N_1754,A_1755)) ),
inference(resolution,[status(thm)],[c_5936,c_48]) ).
tff(c_180,plain,
! [M_138,N_139,L_140] :
( ~ convergent_lines(M_138,N_139)
| unorthogonal_lines(L_140,N_139)
| unorthogonal_lines(L_140,M_138) ),
inference(cnfTransformation,[status(thm)],[f_322]) ).
tff(c_349,plain,
! [L_173,M_174,A_175] :
( unorthogonal_lines(L_173,M_174)
| unorthogonal_lines(L_173,orthogonal_through_point(M_174,A_175)) ),
inference(resolution,[status(thm)],[c_121,c_180]) ).
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_427]) ).
tff(c_357,plain,
! [L_173,M_174,A_175] :
( ~ orthogonal_lines(L_173,orthogonal_through_point(M_174,A_175))
| unorthogonal_lines(L_173,M_174) ),
inference(resolution,[status(thm)],[c_349,c_90]) ).
tff(c_38628,plain,
! [X_1786,N_1787,A_1788] :
( unorthogonal_lines(X_1786,N_1787)
| ~ convergent_lines(X_1786,orthogonal_through_point(N_1787,A_1788)) ),
inference(resolution,[status(thm)],[c_37415,c_357]) ).
tff(c_39031,plain,
! [L_1789] : unorthogonal_lines('#skF_2',L_1789),
inference(resolution,[status(thm)],[c_33053,c_38628]) ).
tff(c_39059,plain,
! [L_1790] : ~ orthogonal_lines('#skF_2',L_1790),
inference(resolution,[status(thm)],[c_39031,c_90]) ).
tff(c_39106,plain,
$false,
inference(resolution,[status(thm)],[c_7002,c_39059]) ).
tff(c_121317,plain,
! [Z_3436] :
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),Z_3436)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_3436)
| convergent_lines('#skF_1',Z_3436) ),
inference(splitRight,[status(thm)],[c_30103]) ).
tff(c_42441,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_2'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3'))),
inference(splitRight,[status(thm)],[c_42071]) ).
tff(c_460,plain,
! [Y_190,Z_191,X_192] :
( distinct_points(Y_190,Z_191)
| distinct_points(X_192,Z_191)
| ~ distinct_points(X_192,Y_190) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_463,plain,
! [Z_191] :
( distinct_points(intersection_point('#skF_1','#skF_3'),Z_191)
| distinct_points(intersection_point('#skF_1','#skF_2'),Z_191) ),
inference(resolution,[status(thm)],[c_96,c_460]) ).
tff(c_42070,plain,
! [Z_191] :
( apart_point_and_line(Z_191,'#skF_1')
| apart_point_and_line(Z_191,line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| distinct_points(intersection_point('#skF_1','#skF_3'),Z_191) ),
inference(resolution,[status(thm)],[c_463,c_42047]) ).
tff(c_43062,plain,
! [Z_191] :
( apart_point_and_line(Z_191,'#skF_1')
| apart_point_and_line(Z_191,line_connecting(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_1','#skF_3')))
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| distinct_points(intersection_point('#skF_1','#skF_3'),Z_191) ),
inference(negUnitSimplification,[status(thm)],[c_42441,c_42070]) ).
tff(c_43063,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_43062]) ).
tff(c_43070,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_43063,c_18]) ).
tff(c_43076,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_100,c_43070]) ).
tff(c_43078,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitRight,[status(thm)],[c_43062]) ).
tff(c_121320,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1')
| convergent_lines('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_121317,c_43078]) ).
tff(c_121361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_42903,c_121320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO203+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % 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
% 0.13/0.32 % Computer : n032.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % 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 : Fri Aug 4 00:22:36 EDT 2023
% 0.13/0.33 % CPUTime :
% 47.08/35.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 47.08/35.30
% 47.08/35.30 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 47.08/35.34
% 47.08/35.34 Inference rules
% 47.08/35.34 ----------------------
% 47.08/35.34 #Ref : 0
% 47.08/35.34 #Sup : 30839
% 47.08/35.34 #Fact : 478
% 47.08/35.34 #Define : 0
% 47.08/35.34 #Split : 42
% 47.08/35.34 #Chain : 0
% 47.08/35.34 #Close : 0
% 47.08/35.34
% 47.08/35.34 Ordering : KBO
% 47.08/35.34
% 47.08/35.34 Simplification rules
% 47.08/35.34 ----------------------
% 47.08/35.34 #Subsume : 2693
% 47.08/35.34 #Demod : 3083
% 47.08/35.34 #Tautology : 1647
% 47.08/35.34 #SimpNegUnit : 197
% 47.08/35.34 #BackRed : 3
% 47.08/35.34
% 47.08/35.34 #Partial instantiations: 0
% 47.08/35.34 #Strategies tried : 1
% 47.08/35.34
% 47.08/35.34 Timing (in seconds)
% 47.08/35.34 ----------------------
% 47.08/35.35 Preprocessing : 0.56
% 47.08/35.35 Parsing : 0.31
% 47.08/35.35 CNF conversion : 0.04
% 47.08/35.35 Main loop : 33.74
% 47.08/35.35 Inferencing : 4.14
% 47.08/35.35 Reduction : 9.36
% 47.08/35.35 Demodulation : 6.95
% 47.08/35.35 BG Simplification : 0.21
% 47.08/35.35 Subsumption : 17.80
% 47.08/35.35 Abstraction : 0.26
% 47.08/35.35 MUC search : 0.00
% 47.08/35.35 Cooper : 0.00
% 47.08/35.35 Total : 34.37
% 47.08/35.35 Index Insertion : 0.00
% 47.08/35.35 Index Deletion : 0.00
% 47.08/35.35 Index Matching : 0.00
% 47.08/35.35 BG Taut test : 0.00
%------------------------------------------------------------------------------