%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO043-3 : 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/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 : n032.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 06:13:35 PM UTC 2025
% Result : Unsatisfiable 8.06s 2.89s
% Output : CNFRefutation 8.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 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 : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-6 aty)
% Number of variables : 35 ( 35 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > reflection > #nlpp > x > 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(x,type,
x: $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_432,axiom,
~ between(v,w,x),
file(unknown,unknown) ).
tff(f_429,axiom,
between(u,v,w),
file(unknown,unknown) ).
tff(f_382,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| between(W,V,U) ),
file(unknown,unknown) ).
tff(f_430,axiom,
between(u,w,x),
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(f_108,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| ( X = Y ) ),
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(c_110,plain,
~ between(v,w,x),
inference(cnfTransformation,[status(thm)],[f_432]) ).
tff(c_106,plain,
between(u,v,w),
inference(cnfTransformation,[status(thm)],[f_429]) ).
tff(c_281,plain,
! [W_221,V_222,U_223] :
( between(W_221,V_222,U_223)
| ~ between(U_223,V_222,W_221) ),
inference(cnfTransformation,[status(thm)],[f_382]) ).
tff(c_301,plain,
between(w,v,u),
inference(resolution,[status(thm)],[c_106,c_281]) ).
tff(c_108,plain,
between(u,w,x),
inference(cnfTransformation,[status(thm)],[f_430]) ).
tff(c_306,plain,
between(x,w,u),
inference(resolution,[status(thm)],[c_108,c_281]) ).
tff(c_1698,plain,
! [X_344,V_343,Y_346,U_345,W_347] :
( between(X_344,inner_pasch(U_345,V_343,W_347,X_344,Y_346),U_345)
| ~ between(Y_346,X_344,W_347)
| ~ between(U_345,V_343,W_347) ),
inference(cnfTransformation,[status(thm)],[f_127]) ).
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_6738,plain,
! [U_594,V_595,W_596,Y_597] :
( ( inner_pasch(U_594,V_595,W_596,U_594,Y_597) = U_594 )
| ~ between(Y_597,U_594,W_596)
| ~ between(U_594,V_595,W_596) ),
inference(resolution,[status(thm)],[c_1698,c_14]) ).
tff(c_6784,plain,
! [V_598] :
( ( inner_pasch(w,V_598,u,w,x) = w )
| ~ between(w,V_598,u) ),
inference(resolution,[status(thm)],[c_306,c_6738]) ).
tff(c_6806,plain,
inner_pasch(w,v,u,w,x) = w,
inference(resolution,[status(thm)],[c_301,c_6784]) ).
tff(c_16,plain,
! [U_31,X_32,Y_33,W_30,V_34] :
( between(V_34,inner_pasch(U_31,V_34,W_30,X_32,Y_33),Y_33)
| ~ between(Y_33,X_32,W_30)
| ~ between(U_31,V_34,W_30) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_6815,plain,
( between(v,w,x)
| ~ between(x,w,u)
| ~ between(w,v,u) ),
inference(superposition,[status(thm),theory(equality)],[c_6806,c_16]) ).
tff(c_6821,plain,
between(v,w,x),
inference(demodulation,[status(thm),theory(equality)],[c_301,c_306,c_6815]) ).
tff(c_6823,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_6821]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO043-3 : TPTP v9.0.0. Released v1.0.0.
% 0.00/0.10 % 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
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon Apr 7 19:21:45 EDT 2025
% 0.10/0.29 % CPUTime :
% 8.06/2.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.06/2.90
% 8.06/2.90 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------