TSTP Solution File: GEO213+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO213+2 : 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 : 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 : Tue Aug 22 10:38:42 EDT 2023
% Result : Theorem 4.45s 2.24s
% Output : CNFRefutation 4.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 45 ( 12 unt; 12 typ; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 54 ( 17 ~; 29 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 50 (; 50 !; 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_128,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq3) ).
tff(f_237,negated_conjecture,
~ ! [L,M,N] :
( unorthogonal_lines(L,M)
=> ( distinct_lines(L,N)
| unorthogonal_lines(M,N) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_197,axiom,
! [L,M] :
( convergent_lines(L,M)
| unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',occu1) ).
tff(f_81,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart6) ).
tff(f_63,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart3) ).
tff(f_75,axiom,
! [X,Y,Z] :
( distinct_lines(X,Y)
=> ( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart5) ).
tff(f_60,axiom,
! [X] : ~ distinct_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart2) ).
tff(f_210,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_75,plain,
! [X_66,Y_67] :
( distinct_lines(X_66,Y_67)
| ~ convergent_lines(X_66,Y_67) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_54,plain,
~ distinct_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_237]) ).
tff(c_84,plain,
~ convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_75,c_54]) ).
tff(c_64,plain,
! [L_62,M_63] :
( unorthogonal_lines(L_62,M_63)
| convergent_lines(L_62,M_63) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_52,plain,
~ unorthogonal_lines('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_237]) ).
tff(c_73,plain,
convergent_lines('#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_64,c_52]) ).
tff(c_87,plain,
! [Y_74,Z_75,X_76] :
( convergent_lines(Y_74,Z_75)
| convergent_lines(X_76,Z_75)
| ~ convergent_lines(X_76,Y_74) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_94,plain,
! [Z_77] :
( convergent_lines('#skF_3',Z_77)
| convergent_lines('#skF_2',Z_77) ),
inference(resolution,[status(thm)],[c_73,c_87]) ).
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_81]) ).
tff(c_217,plain,
! [Z_112,Z_113] :
( convergent_lines(Z_112,Z_113)
| convergent_lines('#skF_2',Z_113)
| convergent_lines('#skF_3',Z_112) ),
inference(resolution,[status(thm)],[c_94,c_12]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_254,plain,
! [Z_114] :
( convergent_lines(Z_114,'#skF_2')
| convergent_lines('#skF_3',Z_114) ),
inference(resolution,[status(thm)],[c_217,c_6]) ).
tff(c_28,plain,
! [X_29,Y_30] :
( distinct_lines(X_29,Y_30)
| ~ convergent_lines(X_29,Y_30) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_129,plain,
! [Y_86,Z_87,X_88] :
( distinct_lines(Y_86,Z_87)
| distinct_lines(X_88,Z_87)
| ~ distinct_lines(X_88,Y_86) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_132,plain,
! [Y_30,Z_87,X_29] :
( distinct_lines(Y_30,Z_87)
| distinct_lines(X_29,Z_87)
| ~ convergent_lines(X_29,Y_30) ),
inference(resolution,[status(thm)],[c_28,c_129]) ).
tff(c_713,plain,
! [Z_148,Z_149] :
( distinct_lines(Z_148,Z_149)
| distinct_lines('#skF_3',Z_149)
| convergent_lines(Z_148,'#skF_2') ),
inference(resolution,[status(thm)],[c_254,c_132]) ).
tff(c_4,plain,
! [X_2] : ~ distinct_lines(X_2,X_2),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_847,plain,
! [Z_154] :
( distinct_lines(Z_154,'#skF_3')
| convergent_lines(Z_154,'#skF_2') ),
inference(resolution,[status(thm)],[c_713,c_4]) ).
tff(c_860,plain,
convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_847,c_54]) ).
tff(c_56,plain,
unorthogonal_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_237]) ).
tff(c_1339,plain,
! [L_187,N_188,M_189] :
( convergent_lines(L_187,N_188)
| unorthogonal_lines(M_189,N_188)
| ~ unorthogonal_lines(L_187,M_189)
| ~ convergent_lines(L_187,M_189) ),
inference(cnfTransformation,[status(thm)],[f_210]) ).
tff(c_1347,plain,
! [N_188] :
( convergent_lines('#skF_1',N_188)
| unorthogonal_lines('#skF_2',N_188)
| ~ convergent_lines('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_56,c_1339]) ).
tff(c_1354,plain,
! [N_190] :
( convergent_lines('#skF_1',N_190)
| unorthogonal_lines('#skF_2',N_190) ),
inference(demodulation,[status(thm),theory(equality)],[c_860,c_1347]) ).
tff(c_1363,plain,
convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_1354,c_52]) ).
tff(c_1370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_1363]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO213+2 : TPTP v8.1.2. Released v3.3.0.
% 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
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 00:59:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 4.45/2.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.45/2.24
% 4.45/2.24 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.97/2.27
% 4.97/2.27 Inference rules
% 4.97/2.27 ----------------------
% 4.97/2.27 #Ref : 0
% 4.97/2.27 #Sup : 212
% 4.97/2.27 #Fact : 46
% 4.97/2.27 #Define : 0
% 4.97/2.27 #Split : 0
% 4.97/2.27 #Chain : 0
% 4.97/2.27 #Close : 0
% 4.97/2.27
% 4.97/2.27 Ordering : KBO
% 4.97/2.27
% 4.97/2.27 Simplification rules
% 4.97/2.27 ----------------------
% 4.97/2.27 #Subsume : 56
% 4.97/2.27 #Demod : 58
% 4.97/2.27 #Tautology : 58
% 4.97/2.27 #SimpNegUnit : 13
% 4.97/2.27 #BackRed : 0
% 4.97/2.27
% 4.97/2.27 #Partial instantiations: 0
% 4.97/2.27 #Strategies tried : 1
% 4.97/2.27
% 4.97/2.27 Timing (in seconds)
% 4.97/2.27 ----------------------
% 4.97/2.27 Preprocessing : 0.51
% 4.97/2.27 Parsing : 0.29
% 4.97/2.27 CNF conversion : 0.03
% 4.97/2.27 Main loop : 0.58
% 4.97/2.27 Inferencing : 0.24
% 4.97/2.27 Reduction : 0.15
% 4.97/2.27 Demodulation : 0.09
% 4.97/2.27 BG Simplification : 0.03
% 4.97/2.28 Subsumption : 0.13
% 4.97/2.28 Abstraction : 0.02
% 4.97/2.28 MUC search : 0.00
% 4.97/2.28 Cooper : 0.00
% 4.97/2.28 Total : 1.14
% 4.97/2.28 Index Insertion : 0.00
% 4.97/2.28 Index Deletion : 0.00
% 4.97/2.28 Index Matching : 0.00
% 4.97/2.28 BG Taut test : 0.00
%------------------------------------------------------------------------------