TSTP Solution File: GEO222+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO222+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n024.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 10:38:45 EDT 2023
% Result : Theorem 141.97s 126.16s
% Output : CNFRefutation 141.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of formulae : 54 ( 14 unt; 11 typ; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 81 ( 21 ~; 51 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 9 >; 9 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 78 (; 78 !; 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_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_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_59,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_199,axiom,
! [L,M] :
( convergent_lines(L,M)
| unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',occu1) ).
tff(f_216,axiom,
! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ooc1) ).
tff(f_77,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).
tff(f_236,negated_conjecture,
~ ! [A,L] : ~ convergent_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_130,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_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/sandbox2/benchmark/Axioms/GEO006+3.ax',ouo1) ).
tff(f_98,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_93,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_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/sandbox2/benchmark/Axioms/GEO006+3.ax',oac1) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_60,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_46,plain,
! [L_47,A_46] : ~ unorthogonal_lines(orthogonal_through_point(L_47,A_46),L_47),
inference(cnfTransformation,[status(thm)],[f_216]) ).
tff(c_65,plain,
! [M_66,A_46] : convergent_lines(orthogonal_through_point(M_66,A_46),M_66),
inference(resolution,[status(thm)],[c_60,c_46]) ).
tff(c_74,plain,
! [Y_86,Z_87,X_88] :
( convergent_lines(Y_86,Z_87)
| convergent_lines(X_88,Z_87)
| ~ convergent_lines(X_88,Y_86) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_81,plain,
! [M_89,Z_90,A_91] :
( convergent_lines(M_89,Z_90)
| convergent_lines(orthogonal_through_point(M_89,A_91),Z_90) ),
inference(resolution,[status(thm)],[c_65,c_74]) ).
tff(c_89,plain,
! [M_89,A_91] : convergent_lines(M_89,orthogonal_through_point(M_89,A_91)),
inference(resolution,[status(thm)],[c_81,c_6]) ).
tff(c_52,plain,
convergent_lines('#skF_2',orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1')),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_90,plain,
! [Z_92] :
( convergent_lines(orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'),Z_92)
| convergent_lines('#skF_2',Z_92) ),
inference(resolution,[status(thm)],[c_52,c_74]) ).
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_366,plain,
! [Z_147,Z_148] :
( convergent_lines(Z_147,Z_148)
| convergent_lines(orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'),Z_148)
| convergent_lines('#skF_2',Z_147) ),
inference(resolution,[status(thm)],[c_90,c_12]) ).
tff(c_394,plain,
! [Z_148,Z_12,Z_147] :
( convergent_lines(Z_148,Z_12)
| convergent_lines(Z_147,Z_12)
| convergent_lines(orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'),Z_148)
| convergent_lines('#skF_2',Z_147) ),
inference(resolution,[status(thm)],[c_366,c_12]) ).
tff(c_4045,plain,
! [Z_12] :
( convergent_lines(Z_12,Z_12)
| convergent_lines(orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'),'#skF_2')
| convergent_lines('#skF_2',Z_12) ),
inference(factorization,[status(thm),theory(equality)],[c_394]) ).
tff(c_4049,plain,
! [Z_12] :
( convergent_lines(orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'),'#skF_2')
| convergent_lines('#skF_2',Z_12) ),
inference(negUnitSimplification,[status(thm)],[c_6,c_4045]) ).
tff(c_4117,plain,
convergent_lines(orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_4049]) ).
tff(c_114,plain,
! [X_98,Z_99,Y_100] :
( convergent_lines(X_98,Z_99)
| distinct_lines(Y_100,Z_99)
| ~ convergent_lines(X_98,Y_100) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_128,plain,
! [Z_99] :
( convergent_lines('#skF_2',Z_99)
| distinct_lines(orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'),Z_99) ),
inference(resolution,[status(thm)],[c_52,c_114]) ).
tff(c_1524,plain,
! [M_300,N_301,L_302,A_303] :
( unorthogonal_lines(M_300,N_301)
| unorthogonal_lines(L_302,N_301)
| apart_point_and_line(A_303,M_300)
| apart_point_and_line(A_303,L_302)
| ~ distinct_lines(L_302,M_300) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_1716,plain,
! [Z_318,N_319,A_320] :
( unorthogonal_lines(Z_318,N_319)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'),N_319)
| apart_point_and_line(A_320,Z_318)
| apart_point_and_line(A_320,orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'))
| convergent_lines('#skF_2',Z_318) ),
inference(resolution,[status(thm)],[c_128,c_1524]) ).
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_5556,plain,
! [X_625,Z_626,N_627] :
( ~ convergent_lines(X_625,Z_626)
| unorthogonal_lines(Z_626,N_627)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'),N_627)
| apart_point_and_line(intersection_point(X_625,Z_626),orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'))
| convergent_lines('#skF_2',Z_626) ),
inference(resolution,[status(thm)],[c_1716,c_20]) ).
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_164986,plain,
! [Z_4031,N_4032] :
( ~ convergent_lines(orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'),Z_4031)
| unorthogonal_lines(Z_4031,N_4032)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'),N_4032)
| convergent_lines('#skF_2',Z_4031) ),
inference(resolution,[status(thm)],[c_5556,c_18]) ).
tff(c_167031,plain,
! [N_4032] :
( unorthogonal_lines('#skF_2',N_4032)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'),N_4032)
| convergent_lines('#skF_2','#skF_2') ),
inference(resolution,[status(thm)],[c_4117,c_164986]) ).
tff(c_168036,plain,
! [N_4033] :
( unorthogonal_lines('#skF_2',N_4033)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'),N_4033) ),
inference(negUnitSimplification,[status(thm)],[c_6,c_167031]) ).
tff(c_168053,plain,
unorthogonal_lines('#skF_2',orthogonal_through_point('#skF_2','#skF_1')),
inference(resolution,[status(thm)],[c_168036,c_46]) ).
tff(c_40,plain,
! [L_43,N_45,M_44] :
( convergent_lines(L_43,N_45)
| unorthogonal_lines(M_44,N_45)
| ~ unorthogonal_lines(L_43,M_44)
| ~ convergent_lines(L_43,M_44) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_168059,plain,
! [N_45] :
( convergent_lines('#skF_2',N_45)
| unorthogonal_lines(orthogonal_through_point('#skF_2','#skF_1'),N_45)
| ~ convergent_lines('#skF_2',orthogonal_through_point('#skF_2','#skF_1')) ),
inference(resolution,[status(thm)],[c_168053,c_40]) ).
tff(c_168374,plain,
! [N_4039] :
( convergent_lines('#skF_2',N_4039)
| unorthogonal_lines(orthogonal_through_point('#skF_2','#skF_1'),N_4039) ),
inference(demodulation,[status(thm),theory(equality)],[c_89,c_168059]) ).
tff(c_168386,plain,
convergent_lines('#skF_2','#skF_2'),
inference(resolution,[status(thm)],[c_168374,c_46]) ).
tff(c_168394,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_168386]) ).
tff(c_168437,plain,
! [Z_4040] : convergent_lines('#skF_2',Z_4040),
inference(splitRight,[status(thm)],[c_4049]) ).
tff(c_168450,plain,
$false,
inference(resolution,[status(thm)],[c_168437,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO222+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 4 00:17:00 EDT 2023
% 0.14/0.35 % CPUTime :
% 141.97/126.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 141.97/126.16
% 141.97/126.16 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 141.97/126.19
% 141.97/126.19 Inference rules
% 141.97/126.19 ----------------------
% 141.97/126.19 #Ref : 0
% 141.97/126.19 #Sup : 43959
% 141.97/126.19 #Fact : 1926
% 141.97/126.19 #Define : 0
% 141.97/126.19 #Split : 5
% 141.97/126.19 #Chain : 0
% 141.97/126.19 #Close : 0
% 141.97/126.19
% 141.97/126.19 Ordering : KBO
% 141.97/126.19
% 141.97/126.19 Simplification rules
% 141.97/126.19 ----------------------
% 141.97/126.19 #Subsume : 8275
% 141.97/126.19 #Demod : 5891
% 141.97/126.19 #Tautology : 4572
% 141.97/126.19 #SimpNegUnit : 2307
% 141.97/126.19 #BackRed : 0
% 141.97/126.19
% 141.97/126.19 #Partial instantiations: 0
% 141.97/126.19 #Strategies tried : 1
% 141.97/126.19
% 141.97/126.19 Timing (in seconds)
% 141.97/126.19 ----------------------
% 141.97/126.20 Preprocessing : 0.50
% 141.97/126.20 Parsing : 0.28
% 141.97/126.20 CNF conversion : 0.03
% 141.97/126.20 Main loop : 124.62
% 141.97/126.20 Inferencing : 6.72
% 141.97/126.20 Reduction : 12.23
% 141.97/126.20 Demodulation : 9.31
% 141.97/126.20 BG Simplification : 0.32
% 141.97/126.20 Subsumption : 102.87
% 141.97/126.20 Abstraction : 0.53
% 141.97/126.20 MUC search : 0.00
% 141.97/126.20 Cooper : 0.00
% 141.97/126.20 Total : 125.17
% 141.97/126.20 Index Insertion : 0.00
% 141.97/126.20 Index Deletion : 0.00
% 141.97/126.20 Index Matching : 0.00
% 141.97/126.20 BG Taut test : 0.00
%------------------------------------------------------------------------------