%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO001-2 : 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 : n025.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 4.78s 2.17s
% Output : CNFRefutation 4.78s
% 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 > inner_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(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(inner_pasch,type,
inner_pasch: ( $i * $i * $i * $i * $i ) > $i ).
tff(continuous,type,
continuous: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_225,axiom,
~ between(c,b,a),
file(unknown,unknown) ).
tff(f_79,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file(unknown,unknown) ).
tff(f_72,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_76,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file(unknown,unknown) ).
tff(f_223,axiom,
between(a,b,c),
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_40,plain,
~ between(c,b,a),
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_51,plain,
! [Y_83,X_84,W_85,V_86] : equidistant(Y_83,extension(X_84,Y_83,W_85,V_86),W_85,V_86),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_6,plain,
! [Y_10,X_9,Z_11] :
( ( Y_10 = X_9 )
| ~ equidistant(X_9,Y_10,Z_11,Z_11) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_57,plain,
! [X_87,Y_88,V_89] : ( extension(X_87,Y_88,V_89,V_89) = Y_88 ),
inference(resolution,[status(thm)],[c_51,c_6]) ).
tff(c_8,plain,
! [X_12,Y_13,W_14,V_15] : between(X_12,Y_13,extension(X_12,Y_13,W_14,V_15)),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_66,plain,
! [X_87,Y_88] : between(X_87,Y_88,Y_88),
inference(superposition,[status(thm),theory(equality)],[c_57,c_8]) ).
tff(c_38,plain,
between(a,b,c),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_106,plain,
! [V_104,U_106,X_105,Y_107,W_108] :
( between(X_105,inner_pasch(U_106,V_104,W_108,X_105,Y_107),U_106)
| ~ between(Y_107,X_105,W_108)
| ~ between(U_106,V_104,W_108) ),
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_1191,plain,
! [U_316,V_317,W_318,Y_319] :
( ( inner_pasch(U_316,V_317,W_318,U_316,Y_319) = U_316 )
| ~ between(Y_319,U_316,W_318)
| ~ between(U_316,V_317,W_318) ),
inference(resolution,[status(thm)],[c_106,c_14]) ).
tff(c_1216,plain,
! [V_320] :
( ( inner_pasch(b,V_320,c,b,a) = b )
| ~ between(b,V_320,c) ),
inference(resolution,[status(thm)],[c_38,c_1191]) ).
tff(c_1231,plain,
inner_pasch(b,c,c,b,a) = b,
inference(resolution,[status(thm)],[c_66,c_1216]) ).
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_1235,plain,
( between(c,b,a)
| ~ between(a,b,c)
| ~ between(b,c,c) ),
inference(superposition,[status(thm),theory(equality)],[c_1231,c_16]) ).
tff(c_1242,plain,
between(c,b,a),
inference(demodulation,[status(thm),theory(equality)],[c_66,c_38,c_1235]) ).
tff(c_1244,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40,c_1242]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO001-2 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % 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
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 19:14:50 EDT 2025
% 0.13/0.34 % CPUTime :
% 4.78/2.17 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.78/2.18
% 4.78/2.18 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------