TSTP Solution File: GEO001-3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO001-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : n025.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 10:37:50 EDT 2023
% Result : Unsatisfiable 7.58s 2.99s
% Output : CNFRefutation 7.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of formulae : 32 ( 9 unt; 14 typ; 0 def)
% Number of atoms : 33 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 8 >; 26 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-6 aty)
% Number of variables : 35 (; 35 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > reflection > #nlpp > lower_dimension_point_3 > lower_dimension_point_2 > lower_dimension_point_1 > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(lower_dimension_point_1,type,
lower_dimension_point_1: $i ).
tff(euclid2,type,
euclid2: ( $i * $i * $i * $i * $i ) > $i ).
tff(a,type,
a: $i ).
tff(lower_dimension_point_2,type,
lower_dimension_point_2: $i ).
tff(equidistant,type,
equidistant: ( $i * $i * $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(lower_dimension_point_3,type,
lower_dimension_point_3: $i ).
tff(extension,type,
extension: ( $i * $i * $i * $i ) > $i ).
tff(reflection,type,
reflection: ( $i * $i ) > $i ).
tff(euclid1,type,
euclid1: ( $i * $i * $i * $i * $i ) > $i ).
tff(between,type,
between: ( $i * $i * $i ) > $o ).
tff(inner_pasch,type,
inner_pasch: ( $i * $i * $i * $i * $i ) > $i ).
tff(continuous,type,
continuous: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_380,axiom,
~ between(c,b,a),
file(unknown,unknown) ).
tff(f_378,axiom,
between(a,b,c),
file(unknown,unknown) ).
tff(f_369,axiom,
! [U,V] : between(U,V,V),
file(unknown,unknown) ).
tff(f_118,axiom,
! [W,U,X,Y,V] :
( ~ between(U,V,W)
| ~ between(Y,X,W)
| between(V,inner_pasch(U,V,W,X,Y),Y) ),
file(unknown,unknown) ).
tff(f_108,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_127,axiom,
! [W,U,X,Y,V] :
( ~ between(U,V,W)
| ~ between(Y,X,W)
| between(X,inner_pasch(U,V,W,X,Y),U) ),
file(unknown,unknown) ).
tff(c_94,plain,
~ between(c,b,a),
inference(cnfTransformation,[status(thm)],[f_380]) ).
tff(c_92,plain,
between(a,b,c),
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_88,plain,
! [U_154,V_155] : between(U_154,V_155,V_155),
inference(cnfTransformation,[status(thm)],[f_369]) ).
tff(c_2038,plain,
! [W_340,X_339,U_338,Y_337,V_341] :
( between(V_341,inner_pasch(U_338,V_341,W_340,X_339,Y_337),Y_337)
| ~ between(Y_337,X_339,W_340)
| ~ between(U_338,V_341,W_340) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_14,plain,
! [Y_29,X_28] :
( ( Y_29 = X_28 )
| ~ between(X_28,Y_29,X_28) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_6679,plain,
! [U_573,Y_574,W_575,X_576] :
( ( inner_pasch(U_573,Y_574,W_575,X_576,Y_574) = Y_574 )
| ~ between(Y_574,X_576,W_575)
| ~ between(U_573,Y_574,W_575) ),
inference(resolution,[status(thm)],[c_2038,c_14]) ).
tff(c_6710,plain,
! [U_577,U_578,V_579] :
( ( inner_pasch(U_577,U_578,V_579,V_579,U_578) = U_578 )
| ~ between(U_577,U_578,V_579) ),
inference(resolution,[status(thm)],[c_88,c_6679]) ).
tff(c_6740,plain,
inner_pasch(a,b,c,c,b) = b,
inference(resolution,[status(thm)],[c_92,c_6710]) ).
tff(c_18,plain,
! [V_39,W_35,U_36,X_37,Y_38] :
( between(X_37,inner_pasch(U_36,V_39,W_35,X_37,Y_38),U_36)
| ~ between(Y_38,X_37,W_35)
| ~ between(U_36,V_39,W_35) ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_6791,plain,
( between(c,b,a)
| ~ between(b,c,c)
| ~ between(a,b,c) ),
inference(superposition,[status(thm),theory(equality)],[c_6740,c_18]) ).
tff(c_6798,plain,
between(c,b,a),
inference(demodulation,[status(thm),theory(equality)],[c_92,c_88,c_6791]) ).
tff(c_6800,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_6798]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO001-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : n025.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 00:45:35 EDT 2023
% 0.14/0.36 % CPUTime :
% 7.58/2.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.58/3.00
% 7.58/3.00 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.87/3.03
% 7.87/3.03 Inference rules
% 7.87/3.03 ----------------------
% 7.87/3.03 #Ref : 0
% 7.87/3.03 #Sup : 1669
% 7.87/3.03 #Fact : 0
% 7.87/3.03 #Define : 0
% 7.87/3.03 #Split : 1
% 7.87/3.03 #Chain : 0
% 7.87/3.03 #Close : 0
% 7.87/3.03
% 7.87/3.03 Ordering : KBO
% 7.87/3.03
% 7.87/3.03 Simplification rules
% 7.87/3.03 ----------------------
% 7.87/3.03 #Subsume : 16
% 7.87/3.03 #Demod : 1207
% 7.87/3.03 #Tautology : 987
% 7.87/3.03 #SimpNegUnit : 1
% 7.87/3.03 #BackRed : 2
% 7.87/3.03
% 7.87/3.03 #Partial instantiations: 0
% 7.87/3.03 #Strategies tried : 1
% 7.87/3.03
% 7.87/3.03 Timing (in seconds)
% 7.87/3.03 ----------------------
% 7.87/3.04 Preprocessing : 0.62
% 7.87/3.04 Parsing : 0.30
% 7.87/3.04 CNF conversion : 0.04
% 7.87/3.04 Main loop : 1.24
% 7.87/3.04 Inferencing : 0.39
% 7.87/3.04 Reduction : 0.43
% 7.87/3.04 Demodulation : 0.34
% 7.87/3.04 BG Simplification : 0.05
% 7.87/3.04 Subsumption : 0.28
% 7.87/3.04 Abstraction : 0.05
% 7.87/3.04 MUC search : 0.00
% 7.87/3.04 Cooper : 0.00
% 7.87/3.04 Total : 1.92
% 7.87/3.04 Index Insertion : 0.00
% 7.87/3.04 Index Deletion : 0.00
% 7.87/3.04 Index Matching : 0.00
% 7.87/3.04 BG Taut test : 0.00
%------------------------------------------------------------------------------