%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO002-1 : TPTP v9.0.0. Bugfixed v2.5.0.
% 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 : n017.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 06:13:23 PM UTC 2025
% Result : Unsatisfiable 4.42s 2.07s
% Output : CNFRefutation 4.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 10 ( 10 usr; 5 con; 0-6 aty)
% Number of variables : 64 ( 64 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > outer_pasch > euclid2 > euclid1 > extension > #nlpp > lower_dimension_point_3 > lower_dimension_point_2 > lower_dimension_point_1 > 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(outer_pasch,type,
outer_pasch: ( $i * $i * $i * $i * $i ) > $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(euclid1,type,
euclid1: ( $i * $i * $i * $i * $i ) > $i ).
tff(between,type,
between: ( $i * $i * $i ) > $o ).
tff(continuous,type,
continuous: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(f_166,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file(unknown,unknown) ).
tff(f_86,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file(unknown,unknown) ).
tff(f_102,axiom,
! [W,Z,X,Y,V] :
( ~ between(X,W,V)
| ~ between(Y,V,Z)
| between(X,outer_pasch(W,X,Y,Z,V),Y) ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
! [W,Z,X,Y,V] :
( ~ between(X,W,V)
| ~ between(Y,V,Z)
| between(Z,W,outer_pasch(W,X,Y,Z,V)) ),
file(unknown,unknown) ).
tff(f_221,axiom,
~ between(a,a,b),
file(unknown,unknown) ).
tff(c_53,plain,
! [Y_91,X_92,W_93,V_94] : equidistant(Y_91,extension(X_92,Y_91,W_93,V_94),W_93,V_94),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_10,plain,
! [Y_14,X_13,Z_15] :
( ( Y_14 = X_13 )
| ~ equidistant(X_13,Y_14,Z_15,Z_15) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_63,plain,
! [X_99,Y_100,V_101] : ( extension(X_99,Y_100,V_101,V_101) = Y_100 ),
inference(resolution,[status(thm)],[c_53,c_10]) ).
tff(c_26,plain,
! [X_55,Y_56,W_57,V_58] : between(X_55,Y_56,extension(X_55,Y_56,W_57,V_58)),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_72,plain,
! [X_99,Y_100] : between(X_99,Y_100,Y_100),
inference(superposition,[status(thm),theory(equality)],[c_63,c_26]) ).
tff(c_154,plain,
! [W_136,X_133,Y_134,V_132,Z_135] :
( between(X_133,outer_pasch(W_136,X_133,Y_134,Z_135,V_132),Y_134)
| ~ between(Y_134,V_132,Z_135)
| ~ between(X_133,W_136,V_132) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_2,plain,
! [Y_2,X_1] :
( ( Y_2 = X_1 )
| ~ between(X_1,Y_2,X_1) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_1126,plain,
! [W_327,Y_328,Z_329,V_330] :
( ( outer_pasch(W_327,Y_328,Y_328,Z_329,V_330) = Y_328 )
| ~ between(Y_328,V_330,Z_329)
| ~ between(Y_328,W_327,V_330) ),
inference(resolution,[status(thm)],[c_154,c_2]) ).
tff(c_1148,plain,
! [W_331,X_332,Y_333] :
( ( outer_pasch(W_331,X_332,X_332,Y_333,Y_333) = X_332 )
| ~ between(X_332,W_331,Y_333) ),
inference(resolution,[status(thm)],[c_72,c_1126]) ).
tff(c_1170,plain,
! [Y_334,X_335] : ( outer_pasch(Y_334,X_335,X_335,Y_334,Y_334) = X_335 ),
inference(resolution,[status(thm)],[c_72,c_1148]) ).
tff(c_16,plain,
! [W_27,Z_28,X_29,V_31,Y_30] :
( between(Z_28,W_27,outer_pasch(W_27,X_29,Y_30,Z_28,V_31))
| ~ between(Y_30,V_31,Z_28)
| ~ between(X_29,W_27,V_31) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_1179,plain,
! [Y_334,X_335] :
( between(Y_334,Y_334,X_335)
| ~ between(X_335,Y_334,Y_334)
| ~ between(X_335,Y_334,Y_334) ),
inference(superposition,[status(thm),theory(equality)],[c_1170,c_16]) ).
tff(c_1187,plain,
! [Y_334,X_335] : between(Y_334,Y_334,X_335),
inference(demodulation,[status(thm),theory(equality)],[c_72,c_72,c_1179]) ).
tff(c_42,plain,
~ between(a,a,b),
inference(cnfTransformation,[status(thm)],[f_221]) ).
tff(c_1191,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1187,c_42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO002-1 : TPTP v9.0.0. Bugfixed v2.5.0.
% 0.10/0.13 % 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
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 7 19:14:55 EDT 2025
% 0.12/0.34 % CPUTime :
% 4.42/2.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.42/2.08
% 4.42/2.08 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------