%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO063-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% 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 : n003.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 06:13:39 PM UTC 2025
% Result : Unsatisfiable 10.06s 3.45s
% Output : CNFRefutation 10.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 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 : 16 ( 16 usr; 9 con; 0-6 aty)
% Number of variables : 32 ( 32 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > insertion > extension > reflection > #nlpp > z > y > 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(y,type,
y: $i ).
tff(v,type,
v: $i ).
tff(extension,type,
extension: ( $i * $i * $i * $i ) > $i ).
tff(reflection,type,
reflection: ( $i * $i ) > $i ).
tff(z,type,
z: $i ).
tff(euclid1,type,
euclid1: ( $i * $i * $i * $i * $i ) > $i ).
tff(between,type,
between: ( $i * $i * $i ) > $o ).
tff(insertion,type,
insertion: ( $i * $i * $i * $i ) > $i ).
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_507,axiom,
! [V,U] : ( V != extension(U,V,lower_dimension_point_1,lower_dimension_point_2) ),
file(unknown,unknown) ).
tff(f_272,axiom,
! [U1,W1,U,V] : ( insertion(U1,W1,U,V) = extension(extension(W1,U1,lower_dimension_point_1,lower_dimension_point_2),U1,U,V) ),
file(unknown,unknown) ).
tff(f_626,axiom,
equidistant(w,x,y,z),
file(unknown,unknown) ).
tff(f_385,axiom,
! [W,U,Z,X,Y,V] :
( ~ equidistant(W,X,Y,Z)
| ( extension(U,V,W,X) = extension(U,V,Y,Z) )
| ( U = V ) ),
file(unknown,unknown) ).
tff(f_628,axiom,
insertion(u,v,w,x) != insertion(u,v,y,z),
file(unknown,unknown) ).
tff(c_124,plain,
! [U_206,V_205] : ( extension(U_206,V_205,lower_dimension_point_1,lower_dimension_point_2) != V_205 ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_40,plain,
! [W1_75,U1_74,U_76,V_77] : ( extension(extension(W1_75,U1_74,lower_dimension_point_1,lower_dimension_point_2),U1_74,U_76,V_77) = insertion(U1_74,W1_75,U_76,V_77) ),
inference(cnfTransformation,[status(thm)],[f_272]) ).
tff(c_150,plain,
equidistant(w,x,y,z),
inference(cnfTransformation,[status(thm)],[f_626]) ).
tff(c_2706,plain,
! [Z_517,U_515,V_516,X_514,Y_512,W_513] :
( ( V_516 = U_515 )
| ( extension(U_515,V_516,Y_512,Z_517) = extension(U_515,V_516,W_513,X_514) )
| ~ equidistant(W_513,X_514,Y_512,Z_517) ),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_7737,plain,
! [V_708,U_709] :
( ( V_708 = U_709 )
| ( extension(U_709,V_708,y,z) = extension(U_709,V_708,w,x) ) ),
inference(resolution,[status(thm)],[c_150,c_2706]) ).
tff(c_7795,plain,
! [W1_75,U1_74] :
( ( extension(W1_75,U1_74,lower_dimension_point_1,lower_dimension_point_2) = U1_74 )
| ( extension(extension(W1_75,U1_74,lower_dimension_point_1,lower_dimension_point_2),U1_74,w,x) = insertion(U1_74,W1_75,y,z) ) ),
inference(superposition,[status(thm),theory(equality)],[c_40,c_7737]) ).
tff(c_7819,plain,
! [W1_75,U1_74] :
( ( extension(W1_75,U1_74,lower_dimension_point_1,lower_dimension_point_2) = U1_74 )
| ( insertion(U1_74,W1_75,y,z) = insertion(U1_74,W1_75,w,x) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_7795]) ).
tff(c_7820,plain,
! [U1_74,W1_75] : ( insertion(U1_74,W1_75,y,z) = insertion(U1_74,W1_75,w,x) ),
inference(negUnitSimplification,[status(thm)],[c_124,c_7819]) ).
tff(c_152,plain,
insertion(u,v,y,z) != insertion(u,v,w,x),
inference(cnfTransformation,[status(thm)],[f_628]) ).
tff(c_8962,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7820,c_152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO063-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.11/0.13 % 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
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 7 19:24:33 EDT 2025
% 0.12/0.34 % CPUTime :
% 10.06/3.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.06/3.46
% 10.06/3.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------