%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO027-3 : TPTP v9.0.0. 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 : n005.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 06:13:31 PM UTC 2025
% Result : Unsatisfiable 8.55s 3.01s
% Output : CNFRefutation 8.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 15 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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 : 32 ( 32 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > 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(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(inner_pasch,type,
inner_pasch: ( $i * $i * $i * $i * $i ) > $i ).
tff(continuous,type,
continuous: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(f_347,axiom,
u != v,
file(unknown,unknown) ).
tff(f_349,axiom,
w != extension(u,v,v,w),
file(unknown,unknown) ).
tff(f_345,axiom,
between(u,v,w),
file(unknown,unknown) ).
tff(f_299,axiom,
! [W,U,X,Y,V] :
( ( Y != extension(U,V,W,X) )
| between(U,V,Y) ),
file(unknown,unknown) ).
tff(f_78,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file(unknown,unknown) ).
tff(f_344,axiom,
! [U,V,W,X] :
( ~ between(U,V,W)
| ~ between(U,V,X)
| ~ equidistant(V,W,V,X)
| ( U = V )
| ( W = X ) ),
file(unknown,unknown) ).
tff(c_80,plain,
v != u,
inference(cnfTransformation,[status(thm)],[f_347]) ).
tff(c_82,plain,
extension(u,v,v,w) != w,
inference(cnfTransformation,[status(thm)],[f_349]) ).
tff(c_78,plain,
between(u,v,w),
inference(cnfTransformation,[status(thm)],[f_345]) ).
tff(c_60,plain,
! [U_114,V_117,W_113,X_115] : between(U_114,V_117,extension(U_114,V_117,W_113,X_115)),
inference(cnfTransformation,[status(thm)],[f_299]) ).
tff(c_10,plain,
! [Y_16,X_17,W_18,V_19] : equidistant(Y_16,extension(X_17,Y_16,W_18,V_19),W_18,V_19),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_983,plain,
! [X_265,W_266,V_267,U_268] :
( ( X_265 = W_266 )
| ( V_267 = U_268 )
| ~ equidistant(V_267,W_266,V_267,X_265)
| ~ between(U_268,V_267,X_265)
| ~ between(U_268,V_267,W_266) ),
inference(cnfTransformation,[status(thm)],[f_344]) ).
tff(c_4038,plain,
! [X_470,W_471,V_472,U_473] :
( ( extension(X_470,W_471,W_471,V_472) = V_472 )
| ( W_471 = U_473 )
| ~ between(U_473,W_471,V_472)
| ~ between(U_473,W_471,extension(X_470,W_471,W_471,V_472)) ),
inference(resolution,[status(thm)],[c_10,c_983]) ).
tff(c_6811,plain,
! [U_636,W_637,X_638] :
( ( extension(U_636,W_637,W_637,X_638) = X_638 )
| ( W_637 = U_636 )
| ~ between(U_636,W_637,X_638) ),
inference(resolution,[status(thm)],[c_60,c_4038]) ).
tff(c_6841,plain,
( ( extension(u,v,v,w) = w )
| ( v = u ) ),
inference(resolution,[status(thm)],[c_78,c_6811]) ).
tff(c_6863,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_82,c_6841]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO027-3 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.14 % 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
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 7 19:18:57 EDT 2025
% 0.14/0.35 % CPUTime :
% 8.55/3.01 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.55/3.01
% 8.55/3.01 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------