%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO008-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% 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 : n026.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 : Wed Apr 9 06:13:25 PM UTC 2025
% Result : Unsatisfiable 15.48s 5.26s
% Output : CNFRefutation 15.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 25 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-6 aty)
% Number of variables : 40 ( 40 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > insertion > extension > reflection > #nlpp > lower_dimension_point_3 > lower_dimension_point_2 > lower_dimension_point_1 > e > d > 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(d,type,
d: $i ).
tff(euclid1,type,
euclid1: ( $i * $i * $i * $i * $i ) > $i ).
tff(e,type,
e: $i ).
tff(between,type,
between: ( $i * $i * $i ) > $o ).
tff(insertion,type,
insertion: ( $i * $i * $i * $i ) > $i ).
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_704,axiom,
between(a,d,e),
file(unknown,unknown) ).
tff(f_500,axiom,
! [U,V,W,X] :
( ~ between(U,V,W)
| ~ between(U,W,X)
| between(U,V,X) ),
file(unknown,unknown) ).
tff(f_707,axiom,
~ between(a,b,e),
file(unknown,unknown) ).
tff(f_703,axiom,
between(a,c,e),
file(unknown,unknown) ).
tff(f_412,axiom,
! [U,V] : between(U,U,V),
file(unknown,unknown) ).
tff(f_492,axiom,
! [U,V,X,W] :
( ~ between(U,V,X)
| ~ between(V,W,X)
| between(U,W,X) ),
file(unknown,unknown) ).
tff(f_692,axiom,
! [U,V,X,W] :
( ~ between(U,V,X)
| ~ between(U,W,X)
| between(U,V,W)
| between(U,W,V) ),
file(unknown,unknown) ).
tff(f_705,axiom,
between(c,b,d),
file(unknown,unknown) ).
tff(f_410,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| between(W,V,U) ),
file(unknown,unknown) ).
tff(c_166,plain,
between(a,d,e),
inference(cnfTransformation,[status(thm)],[f_704]) ).
tff(c_1097,plain,
! [U_414,V_415,X_416,W_417] :
( between(U_414,V_415,X_416)
| ~ between(U_414,W_417,X_416)
| ~ between(U_414,V_415,W_417) ),
inference(cnfTransformation,[status(thm)],[f_500]) ).
tff(c_1544,plain,
! [V_446] :
( between(a,V_446,e)
| ~ between(a,V_446,d) ),
inference(resolution,[status(thm)],[c_166,c_1097]) ).
tff(c_170,plain,
~ between(a,b,e),
inference(cnfTransformation,[status(thm)],[f_707]) ).
tff(c_1572,plain,
~ between(a,b,d),
inference(resolution,[status(thm)],[c_1544,c_170]) ).
tff(c_164,plain,
between(a,c,e),
inference(cnfTransformation,[status(thm)],[f_703]) ).
tff(c_1252,plain,
! [V_423] :
( between(a,V_423,e)
| ~ between(a,V_423,c) ),
inference(resolution,[status(thm)],[c_164,c_1097]) ).
tff(c_1274,plain,
~ between(a,b,c),
inference(resolution,[status(thm)],[c_1252,c_170]) ).
tff(c_96,plain,
! [U_167,V_168] : between(U_167,U_167,V_168),
inference(cnfTransformation,[status(thm)],[f_412]) ).
tff(c_1275,plain,
! [U_424,W_425,X_426,V_427] :
( between(U_424,W_425,X_426)
| ~ between(V_427,W_425,X_426)
| ~ between(U_424,V_427,X_426) ),
inference(cnfTransformation,[status(thm)],[f_492]) ).
tff(c_1315,plain,
! [U_424] :
( between(U_424,d,e)
| ~ between(U_424,a,e) ),
inference(resolution,[status(thm)],[c_166,c_1275]) ).
tff(c_2779,plain,
! [U_507,W_508,V_509,X_510] :
( between(U_507,W_508,V_509)
| between(U_507,V_509,W_508)
| ~ between(U_507,W_508,X_510)
| ~ between(U_507,V_509,X_510) ),
inference(cnfTransformation,[status(thm)],[f_692]) ).
tff(c_16267,plain,
! [V_896] :
( between(a,c,V_896)
| between(a,V_896,c)
| ~ between(a,V_896,e) ),
inference(resolution,[status(thm)],[c_164,c_2779]) ).
tff(c_16297,plain,
( between(a,c,d)
| between(a,d,c)
| ~ between(a,a,e) ),
inference(resolution,[status(thm)],[c_1315,c_16267]) ).
tff(c_16334,plain,
( between(a,c,d)
| between(a,d,c) ),
inference(demodulation,[status(thm),theory(equality)],[c_96,c_16297]) ).
tff(c_16348,plain,
between(a,d,c),
inference(splitLeft,[status(thm)],[c_16334]) ).
tff(c_168,plain,
between(c,b,d),
inference(cnfTransformation,[status(thm)],[f_705]) ).
tff(c_347,plain,
! [W_340,V_341,U_342] :
( between(W_340,V_341,U_342)
| ~ between(U_342,V_341,W_340) ),
inference(cnfTransformation,[status(thm)],[f_410]) ).
tff(c_375,plain,
between(d,b,c),
inference(resolution,[status(thm)],[c_168,c_347]) ).
tff(c_1307,plain,
! [U_424] :
( between(U_424,b,c)
| ~ between(U_424,d,c) ),
inference(resolution,[status(thm)],[c_375,c_1275]) ).
tff(c_16367,plain,
between(a,b,c),
inference(resolution,[status(thm)],[c_16348,c_1307]) ).
tff(c_16409,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1274,c_16367]) ).
tff(c_16410,plain,
between(a,c,d),
inference(splitRight,[status(thm)],[c_16334]) ).
tff(c_1318,plain,
! [U_424] :
( between(U_424,b,d)
| ~ between(U_424,c,d) ),
inference(resolution,[status(thm)],[c_168,c_1275]) ).
tff(c_16440,plain,
between(a,b,d),
inference(resolution,[status(thm)],[c_16410,c_1318]) ).
tff(c_16481,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1572,c_16440]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO008-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.06/0.12 % 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
% 0.12/0.32 % Computer : n026.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Apr 7 19:16:23 EDT 2025
% 0.12/0.32 % CPUTime :
% 15.48/5.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.48/5.27
% 15.48/5.27 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------