TSTP Solution File: GEO213+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO213+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/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 : n011.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 5.75s 2.40s
% Output : CNFRefutation 5.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 46 ( 13 unt; 12 typ; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 52 ( 14 ~; 30 |; 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 : 49 (; 49 !; 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_59,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_199,axiom,
! [L,M] :
( convergent_lines(L,M)
| unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',occu1) ).
tff(f_239,negated_conjecture,
~ ! [L,M,N] :
( unorthogonal_lines(L,M)
=> ( distinct_lines(L,N)
| unorthogonal_lines(M,N) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO006+0.ax',ceq3) ).
tff(f_71,axiom,
! [X,Y,Z] :
( distinct_lines(X,Y)
=> ( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart5) ).
tff(f_56,axiom,
! [X] : ~ distinct_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart2) ).
tff(f_77,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).
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/sandbox/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_64,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_52,plain,
~ unorthogonal_lines('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_73,plain,
convergent_lines('#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_64,c_52]) ).
tff(c_123,plain,
! [X_95,Z_96,Y_97] :
( convergent_lines(X_95,Z_96)
| distinct_lines(Y_97,Z_96)
| ~ convergent_lines(X_95,Y_97) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_142,plain,
! [Z_98] :
( convergent_lines('#skF_2',Z_98)
| distinct_lines('#skF_3',Z_98) ),
inference(resolution,[status(thm)],[c_73,c_123]) ).
tff(c_10,plain,
! [Y_8,Z_9,X_7] :
( distinct_lines(Y_8,Z_9)
| distinct_lines(X_7,Z_9)
| ~ distinct_lines(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_250,plain,
! [Z_122,Z_123] :
( distinct_lines(Z_122,Z_123)
| distinct_lines('#skF_3',Z_123)
| convergent_lines('#skF_2',Z_122) ),
inference(resolution,[status(thm)],[c_142,c_10]) ).
tff(c_4,plain,
! [X_2] : ~ distinct_lines(X_2,X_2),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_274,plain,
! [Z_124] :
( distinct_lines(Z_124,'#skF_3')
| convergent_lines('#skF_2',Z_124) ),
inference(resolution,[status(thm)],[c_250,c_4]) ).
tff(c_54,plain,
~ distinct_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_290,plain,
convergent_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_274,c_54]) ).
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_315,plain,
! [Z_126] :
( convergent_lines('#skF_1',Z_126)
| convergent_lines('#skF_2',Z_126) ),
inference(resolution,[status(thm)],[c_290,c_12]) ).
tff(c_326,plain,
convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_315,c_6]) ).
tff(c_56,plain,
unorthogonal_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_239]) ).
tff(c_765,plain,
! [L_162,N_163,M_164] :
( convergent_lines(L_162,N_163)
| unorthogonal_lines(M_164,N_163)
| ~ unorthogonal_lines(L_162,M_164)
| ~ convergent_lines(L_162,M_164) ),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_775,plain,
! [N_163] :
( convergent_lines('#skF_1',N_163)
| unorthogonal_lines('#skF_2',N_163)
| ~ convergent_lines('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_56,c_765]) ).
tff(c_783,plain,
! [N_165] :
( convergent_lines('#skF_1',N_165)
| unorthogonal_lines('#skF_2',N_165) ),
inference(demodulation,[status(thm),theory(equality)],[c_326,c_775]) ).
tff(c_796,plain,
convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_783,c_52]) ).
tff(c_28,plain,
! [X_31,Z_33,Y_32] :
( convergent_lines(X_31,Z_33)
| distinct_lines(Y_32,Z_33)
| ~ convergent_lines(X_31,Y_32) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_803,plain,
! [Z_166] :
( convergent_lines('#skF_1',Z_166)
| distinct_lines('#skF_3',Z_166) ),
inference(resolution,[status(thm)],[c_796,c_28]) ).
tff(c_1849,plain,
! [Z_236,Z_237] :
( distinct_lines(Z_236,Z_237)
| distinct_lines('#skF_3',Z_237)
| convergent_lines('#skF_1',Z_236) ),
inference(resolution,[status(thm)],[c_803,c_10]) ).
tff(c_1885,plain,
! [Z_238] :
( distinct_lines(Z_238,'#skF_3')
| convergent_lines('#skF_1',Z_238) ),
inference(resolution,[status(thm)],[c_1849,c_4]) ).
tff(c_1900,plain,
convergent_lines('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_1885,c_54]) ).
tff(c_1910,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_1900]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : GEO213+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % 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
% 0.17/0.37 % Computer : n011.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Fri Aug 4 00:23:21 EDT 2023
% 0.17/0.37 % CPUTime :
% 5.75/2.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.89/2.41
% 5.89/2.41 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.98/2.44
% 5.98/2.44 Inference rules
% 5.98/2.44 ----------------------
% 5.98/2.44 #Ref : 0
% 5.98/2.44 #Sup : 405
% 5.98/2.44 #Fact : 32
% 5.98/2.44 #Define : 0
% 5.98/2.44 #Split : 1
% 5.98/2.44 #Chain : 0
% 5.98/2.44 #Close : 0
% 5.98/2.44
% 5.98/2.44 Ordering : KBO
% 5.98/2.44
% 5.98/2.44 Simplification rules
% 5.98/2.44 ----------------------
% 5.98/2.44 #Subsume : 48
% 5.98/2.44 #Demod : 82
% 5.98/2.44 #Tautology : 78
% 5.98/2.44 #SimpNegUnit : 3
% 5.98/2.44 #BackRed : 0
% 5.98/2.44
% 5.98/2.44 #Partial instantiations: 0
% 5.98/2.44 #Strategies tried : 1
% 5.98/2.44
% 5.98/2.44 Timing (in seconds)
% 5.98/2.44 ----------------------
% 5.98/2.44 Preprocessing : 0.51
% 5.98/2.44 Parsing : 0.29
% 5.98/2.44 CNF conversion : 0.04
% 5.98/2.44 Main loop : 0.75
% 5.98/2.44 Inferencing : 0.30
% 5.98/2.45 Reduction : 0.19
% 5.98/2.45 Demodulation : 0.12
% 5.98/2.45 BG Simplification : 0.03
% 5.98/2.45 Subsumption : 0.18
% 5.98/2.45 Abstraction : 0.03
% 5.98/2.45 MUC search : 0.00
% 5.98/2.45 Cooper : 0.00
% 5.98/2.45 Total : 1.31
% 5.98/2.45 Index Insertion : 0.00
% 5.98/2.45 Index Deletion : 0.00
% 5.98/2.45 Index Matching : 0.00
% 5.98/2.45 BG Taut test : 0.00
%------------------------------------------------------------------------------