TSTP Solution File: GEO218+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO218+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 : n028.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 10:38:44 EDT 2023
% Result : Theorem 8.93s 3.10s
% Output : CNFRefutation 8.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 31
% Syntax : Number of formulae : 88 ( 21 unt; 19 typ; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 126 ( 43 ~; 68 |; 6 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 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 : 103 (; 103 !; 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_434,negated_conjecture,
~ ! [L,M,N] :
( ( parallel_lines(L,M)
& orthogonal_lines(L,N) )
=> orthogonal_lines(M,N) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_415,axiom,
! [X,Y] :
( parallel_lines(X,Y)
<=> ~ convergent_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a3) ).
tff(f_291,axiom,
! [L,M] :
~ ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',coipo1) ).
tff(f_425,axiom,
! [X,Y] :
( orthogonal_lines(X,Y)
<=> ~ unorthogonal_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a5) ).
tff(f_131,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_159,axiom,
! [X,Y] :
( distinct_lines(X,Y)
=> convergent_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax',p1) ).
tff(f_78,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_60,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_241,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_72,axiom,
! [X,Y,Z] :
( distinct_lines(X,Y)
=> ( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart5) ).
tff(f_57,axiom,
! [X] : ~ distinct_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart2) ).
tff(f_320,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(c_98,plain,
parallel_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_434]) ).
tff(c_115,plain,
! [X_101,Y_102] :
( ~ convergent_lines(X_101,Y_102)
| ~ parallel_lines(X_101,Y_102) ),
inference(cnfTransformation,[status(thm)],[f_415]) ).
tff(c_123,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_98,c_115]) ).
tff(c_96,plain,
orthogonal_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_434]) ).
tff(c_54,plain,
! [L_56,M_57] :
( unorthogonal_lines(L_56,M_57)
| convergent_lines(L_56,M_57) ),
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_138,plain,
! [X_113,Y_114] :
( ~ unorthogonal_lines(X_113,Y_114)
| ~ orthogonal_lines(X_113,Y_114) ),
inference(cnfTransformation,[status(thm)],[f_425]) ).
tff(c_159,plain,
! [L_123,M_124] :
( ~ orthogonal_lines(L_123,M_124)
| convergent_lines(L_123,M_124) ),
inference(resolution,[status(thm)],[c_54,c_138]) ).
tff(c_168,plain,
convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_96,c_159]) ).
tff(c_174,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_181,plain,
! [Z_138] :
( convergent_lines('#skF_1',Z_138)
| distinct_lines('#skF_3',Z_138) ),
inference(resolution,[status(thm)],[c_168,c_174]) ).
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_189,plain,
! [Z_138] :
( convergent_lines('#skF_3',Z_138)
| convergent_lines('#skF_1',Z_138) ),
inference(resolution,[status(thm)],[c_181,c_30]) ).
tff(c_259,plain,
! [Y_152,Z_153,X_154] :
( convergent_lines(Y_152,Z_153)
| convergent_lines(X_154,Z_153)
| ~ convergent_lines(X_154,Y_152) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_308,plain,
! [Z_164,Z_165] :
( convergent_lines(Z_164,Z_165)
| convergent_lines('#skF_3',Z_165)
| convergent_lines('#skF_1',Z_164) ),
inference(resolution,[status(thm)],[c_189,c_259]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_370,plain,
! [Z_170] :
( convergent_lines(Z_170,'#skF_3')
| convergent_lines('#skF_1',Z_170) ),
inference(resolution,[status(thm)],[c_308,c_6]) ).
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_78]) ).
tff(c_1697,plain,
! [Z_292,Z_293] :
( convergent_lines(Z_292,Z_293)
| convergent_lines('#skF_1',Z_293)
| convergent_lines(Z_292,'#skF_3') ),
inference(resolution,[status(thm)],[c_370,c_12]) ).
tff(c_1755,plain,
! [Z_294] :
( convergent_lines(Z_294,'#skF_2')
| convergent_lines(Z_294,'#skF_3') ),
inference(resolution,[status(thm)],[c_1697,c_123]) ).
tff(c_1779,plain,
convergent_lines('#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_1755,c_6]) ).
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_1075,plain,
! [L_258,N_259,M_260] :
( convergent_lines(L_258,N_259)
| unorthogonal_lines(M_260,N_259)
| ~ unorthogonal_lines(L_258,M_260)
| ~ convergent_lines(L_258,M_260) ),
inference(cnfTransformation,[status(thm)],[f_241]) ).
tff(c_4594,plain,
! [X_418,N_419,Y_420] :
( convergent_lines(X_418,N_419)
| unorthogonal_lines(Y_420,N_419)
| ~ convergent_lines(X_418,Y_420)
| orthogonal_lines(X_418,Y_420) ),
inference(resolution,[status(thm)],[c_92,c_1075]) ).
tff(c_179,plain,
! [Z_136] :
( convergent_lines('#skF_1',Z_136)
| distinct_lines('#skF_3',Z_136) ),
inference(resolution,[status(thm)],[c_168,c_174]) ).
tff(c_429,plain,
! [Y_175,Z_176,X_177] :
( distinct_lines(Y_175,Z_176)
| distinct_lines(X_177,Z_176)
| ~ distinct_lines(X_177,Y_175) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_487,plain,
! [Z_187,Z_188] :
( distinct_lines(Z_187,Z_188)
| distinct_lines('#skF_3',Z_188)
| convergent_lines('#skF_1',Z_187) ),
inference(resolution,[status(thm)],[c_179,c_429]) ).
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_72]) ).
tff(c_940,plain,
! [Z_247,Z_248,Z_249] :
( distinct_lines(Z_247,Z_248)
| distinct_lines(Z_249,Z_248)
| distinct_lines('#skF_3',Z_247)
| convergent_lines('#skF_1',Z_249) ),
inference(resolution,[status(thm)],[c_487,c_10]) ).
tff(c_4,plain,
! [X_2] : ~ distinct_lines(X_2,X_2),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_995,plain,
! [Z_250,Z_251] :
( distinct_lines(Z_250,Z_251)
| distinct_lines('#skF_3',Z_250)
| convergent_lines('#skF_1',Z_251) ),
inference(resolution,[status(thm)],[c_940,c_4]) ).
tff(c_1015,plain,
! [Z_250,Z_251] :
( convergent_lines(Z_250,Z_251)
| distinct_lines('#skF_3',Z_250)
| convergent_lines('#skF_1',Z_251) ),
inference(resolution,[status(thm)],[c_995,c_30]) ).
tff(c_1262,plain,
! [Z_251] :
( distinct_lines('#skF_3','#skF_1')
| convergent_lines('#skF_1',Z_251) ),
inference(factorization,[status(thm),theory(equality)],[c_1015]) ).
tff(c_1309,plain,
distinct_lines('#skF_3','#skF_1'),
inference(splitLeft,[status(thm)],[c_1262]) ).
tff(c_1389,plain,
convergent_lines('#skF_3','#skF_1'),
inference(resolution,[status(thm)],[c_1309,c_30]) ).
tff(c_192,plain,
! [M_139,N_140,L_141] :
( ~ convergent_lines(M_139,N_140)
| unorthogonal_lines(L_141,N_140)
| unorthogonal_lines(L_141,M_139) ),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_197,plain,
! [L_141] :
( unorthogonal_lines(L_141,'#skF_3')
| unorthogonal_lines(L_141,'#skF_1') ),
inference(resolution,[status(thm)],[c_168,c_192]) ).
tff(c_2626,plain,
! [L_334,N_335,M_336] :
( unorthogonal_lines(L_334,N_335)
| unorthogonal_lines(M_336,N_335)
| ~ unorthogonal_lines(L_334,M_336)
| ~ convergent_lines(L_334,M_336) ),
inference(cnfTransformation,[status(thm)],[f_241]) ).
tff(c_2726,plain,
! [L_141,N_335] :
( unorthogonal_lines(L_141,N_335)
| unorthogonal_lines('#skF_3',N_335)
| ~ convergent_lines(L_141,'#skF_3')
| unorthogonal_lines(L_141,'#skF_1') ),
inference(resolution,[status(thm)],[c_197,c_2626]) ).
tff(c_3775,plain,
! [L_141] :
( unorthogonal_lines('#skF_3','#skF_1')
| ~ convergent_lines(L_141,'#skF_3')
| unorthogonal_lines(L_141,'#skF_1') ),
inference(factorization,[status(thm),theory(equality)],[c_2726]) ).
tff(c_3978,plain,
unorthogonal_lines('#skF_3','#skF_1'),
inference(splitLeft,[status(thm)],[c_3775]) ).
tff(c_42,plain,
! [L_45,N_47,M_46] :
( convergent_lines(L_45,N_47)
| unorthogonal_lines(M_46,N_47)
| ~ unorthogonal_lines(L_45,M_46)
| ~ convergent_lines(L_45,M_46) ),
inference(cnfTransformation,[status(thm)],[f_241]) ).
tff(c_3992,plain,
! [N_47] :
( convergent_lines('#skF_3',N_47)
| unorthogonal_lines('#skF_1',N_47)
| ~ convergent_lines('#skF_3','#skF_1') ),
inference(resolution,[status(thm)],[c_3978,c_42]) ).
tff(c_4251,plain,
! [N_410] :
( convergent_lines('#skF_3',N_410)
| unorthogonal_lines('#skF_1',N_410) ),
inference(demodulation,[status(thm),theory(equality)],[c_1389,c_3992]) ).
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_4484,plain,
! [N_417] :
( ~ orthogonal_lines('#skF_1',N_417)
| convergent_lines('#skF_3',N_417) ),
inference(resolution,[status(thm)],[c_4251,c_90]) ).
tff(c_4497,plain,
convergent_lines('#skF_3','#skF_3'),
inference(resolution,[status(thm)],[c_96,c_4484]) ).
tff(c_4503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_4497]) ).
tff(c_4505,plain,
~ unorthogonal_lines('#skF_3','#skF_1'),
inference(splitRight,[status(thm)],[c_3775]) ).
tff(c_6652,plain,
! [X_489] :
( convergent_lines(X_489,'#skF_1')
| ~ convergent_lines(X_489,'#skF_3')
| orthogonal_lines(X_489,'#skF_3') ),
inference(resolution,[status(thm)],[c_4594,c_4505]) ).
tff(c_94,plain,
~ orthogonal_lines('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_434]) ).
tff(c_6705,plain,
( convergent_lines('#skF_2','#skF_1')
| ~ convergent_lines('#skF_2','#skF_3') ),
inference(resolution,[status(thm)],[c_6652,c_94]) ).
tff(c_6738,plain,
convergent_lines('#skF_2','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_1779,c_6705]) ).
tff(c_6748,plain,
! [Z_490] :
( convergent_lines('#skF_1',Z_490)
| convergent_lines('#skF_2',Z_490) ),
inference(resolution,[status(thm)],[c_6738,c_12]) ).
tff(c_6758,plain,
convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_6748,c_6]) ).
tff(c_6765,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123,c_6758]) ).
tff(c_6766,plain,
! [Z_251] : convergent_lines('#skF_1',Z_251),
inference(splitRight,[status(thm)],[c_1262]) ).
tff(c_6800,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6766,c_123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO218+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % 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
% 0.14/0.36 % Computer : n028.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 00:45:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 8.93/3.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.93/3.11
% 8.93/3.11 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.93/3.15
% 8.93/3.15 Inference rules
% 8.93/3.15 ----------------------
% 8.93/3.15 #Ref : 0
% 8.93/3.15 #Sup : 1544
% 8.93/3.15 #Fact : 68
% 8.93/3.15 #Define : 0
% 8.93/3.15 #Split : 3
% 8.93/3.15 #Chain : 0
% 8.93/3.15 #Close : 0
% 8.93/3.15
% 8.93/3.15 Ordering : KBO
% 8.93/3.15
% 8.93/3.15 Simplification rules
% 8.93/3.15 ----------------------
% 8.93/3.15 #Subsume : 224
% 8.93/3.15 #Demod : 216
% 8.93/3.15 #Tautology : 199
% 8.93/3.15 #SimpNegUnit : 32
% 8.93/3.15 #BackRed : 1
% 8.93/3.15
% 8.93/3.15 #Partial instantiations: 0
% 8.93/3.15 #Strategies tried : 1
% 8.93/3.15
% 8.93/3.15 Timing (in seconds)
% 8.93/3.15 ----------------------
% 8.93/3.15 Preprocessing : 0.58
% 8.93/3.15 Parsing : 0.33
% 8.93/3.15 CNF conversion : 0.04
% 8.93/3.15 Main loop : 1.48
% 8.93/3.15 Inferencing : 0.50
% 8.93/3.15 Reduction : 0.40
% 8.93/3.15 Demodulation : 0.26
% 8.93/3.15 BG Simplification : 0.05
% 8.93/3.15 Subsumption : 0.41
% 8.93/3.15 Abstraction : 0.04
% 8.93/3.15 MUC search : 0.00
% 8.93/3.15 Cooper : 0.00
% 8.93/3.15 Total : 2.12
% 8.93/3.15 Index Insertion : 0.00
% 8.93/3.15 Index Deletion : 0.00
% 8.93/3.15 Index Matching : 0.00
% 8.93/3.15 BG Taut test : 0.00
%------------------------------------------------------------------------------