%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO001-1 : 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 : n023.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 4.64s 2.07s
% Output : CNFRefutation 5.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 41 ( 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 : 11 ( 11 usr; 6 con; 0-6 aty)
% Number of variables : 56 ( 56 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > outer_pasch > euclid2 > euclid1 > extension > #nlpp > lower_dimension_point_3 > lower_dimension_point_2 > lower_dimension_point_1 > 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(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(c,type,
c: $i ).
tff(f_224,axiom,
~ between(c,b,a),
file(unknown,unknown) ).
tff(f_168,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file(unknown,unknown) ).
tff(f_88,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_166,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file(unknown,unknown) ).
tff(f_222,axiom,
between(a,b,c),
file(unknown,unknown) ).
tff(f_104,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_61,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_112,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(c_44,plain,
~ between(c,b,a),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_55,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_168]) ).
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_88]) ).
tff(c_61,plain,
! [X_95,Y_96,V_97] : ( extension(X_95,Y_96,V_97,V_97) = Y_96 ),
inference(resolution,[status(thm)],[c_55,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_166]) ).
tff(c_70,plain,
! [X_95,Y_96] : between(X_95,Y_96,Y_96),
inference(superposition,[status(thm),theory(equality)],[c_61,c_26]) ).
tff(c_42,plain,
between(a,b,c),
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_249,plain,
! [X_149,V_148,W_152,Y_150,Z_151] :
( between(X_149,outer_pasch(W_152,X_149,Y_150,Z_151,V_148),Y_150)
| ~ between(Y_150,V_148,Z_151)
| ~ between(X_149,W_152,V_148) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_2,plain,
! [Y_2,X_1] :
( ( Y_2 = X_1 )
| ~ between(X_1,Y_2,X_1) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_1250,plain,
! [W_343,Y_344,Z_345,V_346] :
( ( outer_pasch(W_343,Y_344,Y_344,Z_345,V_346) = Y_344 )
| ~ between(Y_344,V_346,Z_345)
| ~ between(Y_344,W_343,V_346) ),
inference(resolution,[status(thm)],[c_249,c_2]) ).
tff(c_1364,plain,
! [W_351] :
( ( outer_pasch(W_351,a,a,c,b) = a )
| ~ between(a,W_351,b) ),
inference(resolution,[status(thm)],[c_42,c_1250]) ).
tff(c_1381,plain,
outer_pasch(b,a,a,c,b) = a,
inference(resolution,[status(thm)],[c_70,c_1364]) ).
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_112]) ).
tff(c_1388,plain,
( between(c,b,a)
| ~ between(a,b,c)
| ~ between(a,b,b) ),
inference(superposition,[status(thm),theory(equality)],[c_1381,c_16]) ).
tff(c_1394,plain,
between(c,b,a),
inference(demodulation,[status(thm),theory(equality)],[c_70,c_42,c_1388]) ).
tff(c_1396,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_1394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO001-1 : TPTP v9.0.0. Bugfixed v2.5.0.
% 0.00/0.09 % 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
% 0.08/0.28 % Computer : n023.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Mon Apr 7 19:14:54 EDT 2025
% 0.08/0.28 % CPUTime :
% 4.64/2.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.01/2.07
% 5.01/2.07 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------