TSTP Solution File: GEO222+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO222+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/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 : n019.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 7.30s 2.79s
% Output : CNFRefutation 7.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 28
% Syntax : Number of formulae : 52 ( 13 unt; 18 typ; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 65 ( 31 ~; 25 |; 3 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 64 (; 64 !; 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_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_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_245,axiom,
! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc1) ).
tff(f_291,axiom,
! [L,M] :
~ ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',coipo1) ).
tff(f_131,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_60,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_159,axiom,
! [X,Y] :
( distinct_lines(X,Y)
=> convergent_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax',p1) ).
tff(f_425,axiom,
! [X,Y] :
( orthogonal_lines(X,Y)
<=> ~ unorthogonal_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a5) ).
tff(f_310,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+4.ax',cotno1) ).
tff(f_415,axiom,
! [X,Y] :
( parallel_lines(X,Y)
<=> ~ convergent_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a3) ).
tff(f_430,negated_conjecture,
~ ! [A,L] : parallel_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_320,axiom,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',couo1) ).
tff(c_48,plain,
! [L_49,A_48] : ~ unorthogonal_lines(orthogonal_through_point(L_49,A_48),L_49),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_121,plain,
! [L_105,M_106] :
( unorthogonal_lines(L_105,M_106)
| convergent_lines(L_105,M_106) ),
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_126,plain,
! [M_106,A_48] : convergent_lines(orthogonal_through_point(M_106,A_48),M_106),
inference(resolution,[status(thm)],[c_121,c_48]) ).
tff(c_166,plain,
! [X_135,Z_136,Y_137] :
( convergent_lines(X_135,Z_136)
| distinct_lines(Y_137,Z_136)
| ~ convergent_lines(X_135,Y_137) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_173,plain,
! [M_138,A_139,Z_140] :
( convergent_lines(orthogonal_through_point(M_138,A_139),Z_140)
| distinct_lines(M_138,Z_140) ),
inference(resolution,[status(thm)],[c_126,c_166]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_182,plain,
! [M_141,A_142] : distinct_lines(M_141,orthogonal_through_point(M_141,A_142)),
inference(resolution,[status(thm)],[c_173,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_159]) ).
tff(c_186,plain,
! [M_141,A_142] : convergent_lines(M_141,orthogonal_through_point(M_141,A_142)),
inference(resolution,[status(thm)],[c_182,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_425]) ).
tff(c_677,plain,
! [L_251,M_252,N_253] :
( unorthogonal_lines(L_251,M_252)
| convergent_lines(L_251,N_253)
| ~ unorthogonal_lines(M_252,N_253)
| ~ convergent_lines(M_252,N_253) ),
inference(cnfTransformation,[status(thm)],[f_310]) ).
tff(c_3660,plain,
! [L_485,X_486,Y_487] :
( unorthogonal_lines(L_485,X_486)
| convergent_lines(L_485,Y_487)
| ~ convergent_lines(X_486,Y_487)
| orthogonal_lines(X_486,Y_487) ),
inference(resolution,[status(thm)],[c_92,c_677]) ).
tff(c_3803,plain,
! [Y_488,X_489] :
( unorthogonal_lines(Y_488,X_489)
| ~ convergent_lines(X_489,Y_488)
| orthogonal_lines(X_489,Y_488) ),
inference(resolution,[status(thm)],[c_3660,c_6]) ).
tff(c_3824,plain,
! [X_489,A_48] :
( ~ convergent_lines(X_489,orthogonal_through_point(X_489,A_48))
| orthogonal_lines(X_489,orthogonal_through_point(X_489,A_48)) ),
inference(resolution,[status(thm)],[c_3803,c_48]) ).
tff(c_3836,plain,
! [X_490,A_491] : orthogonal_lines(X_490,orthogonal_through_point(X_490,A_491)),
inference(demodulation,[status(thm),theory(equality)],[c_186,c_3824]) ).
tff(c_129,plain,
! [X_111,Y_112] :
( parallel_lines(X_111,Y_112)
| convergent_lines(X_111,Y_112) ),
inference(cnfTransformation,[status(thm)],[f_415]) ).
tff(c_94,plain,
~ parallel_lines('#skF_2',orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1')),
inference(cnfTransformation,[status(thm)],[f_430]) ).
tff(c_133,plain,
convergent_lines('#skF_2',orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1')),
inference(resolution,[status(thm)],[c_129,c_94]) ).
tff(c_202,plain,
! [M_148,N_149,L_150] :
( ~ convergent_lines(M_148,N_149)
| unorthogonal_lines(L_150,N_149)
| unorthogonal_lines(L_150,M_148) ),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_231,plain,
! [L_160] :
( unorthogonal_lines(L_160,orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'))
| unorthogonal_lines(L_160,'#skF_2') ),
inference(resolution,[status(thm)],[c_133,c_202]) ).
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_425]) ).
tff(c_239,plain,
! [L_160] :
( ~ orthogonal_lines(L_160,orthogonal_through_point(orthogonal_through_point('#skF_2','#skF_1'),'#skF_1'))
| unorthogonal_lines(L_160,'#skF_2') ),
inference(resolution,[status(thm)],[c_231,c_90]) ).
tff(c_3868,plain,
unorthogonal_lines(orthogonal_through_point('#skF_2','#skF_1'),'#skF_2'),
inference(resolution,[status(thm)],[c_3836,c_239]) ).
tff(c_3888,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48,c_3868]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO222+3 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 4 00:40:31 EDT 2023
% 0.14/0.36 % CPUTime :
% 7.30/2.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.30/2.80
% 7.30/2.80 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.30/2.84
% 7.30/2.84 Inference rules
% 7.30/2.84 ----------------------
% 7.30/2.84 #Ref : 0
% 7.30/2.84 #Sup : 912
% 7.30/2.84 #Fact : 26
% 7.30/2.84 #Define : 0
% 7.30/2.84 #Split : 1
% 7.30/2.84 #Chain : 0
% 7.30/2.84 #Close : 0
% 7.30/2.84
% 7.30/2.84 Ordering : KBO
% 7.30/2.84
% 7.30/2.84 Simplification rules
% 7.30/2.84 ----------------------
% 7.30/2.84 #Subsume : 137
% 7.30/2.84 #Demod : 101
% 7.30/2.84 #Tautology : 93
% 7.30/2.84 #SimpNegUnit : 11
% 7.30/2.84 #BackRed : 0
% 7.30/2.84
% 7.30/2.84 #Partial instantiations: 0
% 7.30/2.84 #Strategies tried : 1
% 7.30/2.84
% 7.30/2.84 Timing (in seconds)
% 7.30/2.84 ----------------------
% 7.30/2.85 Preprocessing : 0.57
% 7.30/2.85 Parsing : 0.32
% 7.30/2.85 CNF conversion : 0.04
% 7.30/2.85 Main loop : 1.18
% 7.30/2.85 Inferencing : 0.44
% 7.30/2.85 Reduction : 0.28
% 7.30/2.85 Demodulation : 0.17
% 7.30/2.85 BG Simplification : 0.04
% 7.30/2.85 Subsumption : 0.34
% 7.30/2.85 Abstraction : 0.04
% 7.30/2.85 MUC search : 0.00
% 7.30/2.85 Cooper : 0.00
% 7.30/2.85 Total : 1.82
% 7.30/2.85 Index Insertion : 0.00
% 7.30/2.85 Index Deletion : 0.00
% 7.30/2.85 Index Matching : 0.00
% 7.30/2.85 BG Taut test : 0.00
%------------------------------------------------------------------------------