%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO064-3 : 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/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 : n006.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 06:13:39 PM UTC 2025
% Result : Unsatisfiable 4.52s 2.07s
% Output : CNFRefutation 4.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-6 aty)
% Number of variables : 12 ( 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > colinear > between > continuous > inner_pasch > euclid2 > euclid1 > insertion > extension > reflection > #nlpp > w > v > u > lower_dimension_point_3 > lower_dimension_point_2 > lower_dimension_point_1
%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(lower_dimension_point_2,type,
lower_dimension_point_2: $i ).
tff(w,type,
w: $i ).
tff(colinear,type,
colinear: ( $i * $i * $i ) > $o ).
tff(equidistant,type,
equidistant: ( $i * $i * $i * $i ) > $o ).
tff(u,type,
u: $i ).
tff(lower_dimension_point_3,type,
lower_dimension_point_3: $i ).
tff(v,type,
v: $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(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(f_771,axiom,
between(w,v,u),
file(unknown,unknown) ).
tff(f_459,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| between(W,V,U) ),
file(unknown,unknown) ).
tff(f_252,axiom,
! [X,Y,Z] :
( ~ between(X,Y,Z)
| colinear(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_773,axiom,
~ colinear(u,v,w),
file(unknown,unknown) ).
tff(c_176,plain,
between(w,v,u),
inference(cnfTransformation,[status(thm)],[f_771]) ).
tff(c_328,plain,
! [W_357,V_358,U_359] :
( between(W_357,V_358,U_359)
| ~ between(U_359,V_358,W_357) ),
inference(cnfTransformation,[status(thm)],[f_459]) ).
tff(c_347,plain,
between(u,v,w),
inference(resolution,[status(thm)],[c_176,c_328]) ).
tff(c_392,plain,
! [X_369,Y_370,Z_371] :
( colinear(X_369,Y_370,Z_371)
| ~ between(X_369,Y_370,Z_371) ),
inference(cnfTransformation,[status(thm)],[f_252]) ).
tff(c_178,plain,
~ colinear(u,v,w),
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_395,plain,
~ between(u,v,w),
inference(resolution,[status(thm)],[c_392,c_178]) ).
tff(c_399,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_347,c_395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO064-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.07/0.13 % 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
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 7 19:24:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 4.52/2.07 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.52/2.08
% 4.52/2.08 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------