%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV006-1 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n012.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 09:29:18 PM UTC 2025
% Result : Unsatisfiable 3.60s 1.89s
% Output : CNFRefutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 14 ( 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less_than > #nlpp > successor > predecessor > a > one > n > m > i
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(i,type,
i: $i ).
tff(m,type,
m: $i ).
tff(predecessor,type,
predecessor: $i > $i ).
tff(less_than,type,
less_than: ( $i * $i ) > $o ).
tff(a,type,
a: $i > $i ).
tff(one,type,
one: $i ).
tff(n,type,
n: $i ).
tff(successor,type,
successor: $i > $i ).
tff(f_110,axiom,
less_than(i,n),
file(unknown,unknown) ).
tff(f_65,axiom,
! [X] : less_than(X,successor(X)),
file(unknown,unknown) ).
tff(f_73,axiom,
! [X,Z,Y] :
( less_than(X,Z)
| ~ less_than(X,Y)
| ~ less_than(Y,Z) ),
file(unknown,unknown) ).
tff(f_82,axiom,
! [X] : ~ less_than(X,X),
file(unknown,unknown) ).
tff(f_113,axiom,
less_than(a(i),a(m)),
file(unknown,unknown) ).
tff(f_121,axiom,
! [X] :
( less_than(X,i)
| ~ less_than(X,successor(n))
| ~ less_than(a(X),a(m)) ),
file(unknown,unknown) ).
tff(c_30,plain,
less_than(i,n),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_12,plain,
! [X_8] : less_than(X_8,successor(X_8)),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_234,plain,
! [Y_45,Z_46,X_47] :
( ~ less_than(Y_45,Z_46)
| ~ less_than(X_47,Y_45)
| less_than(X_47,Z_46) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_477,plain,
! [X_58,X_59] :
( ~ less_than(X_58,X_59)
| less_than(X_58,successor(X_59)) ),
inference(resolution,[status(thm)],[c_12,c_234]) ).
tff(c_18,plain,
! [X_14] : ~ less_than(X_14,X_14),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_34,plain,
less_than(a(i),a(m)),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_361,plain,
! [X_53] :
( ~ less_than(a(X_53),a(m))
| ~ less_than(X_53,successor(n))
| less_than(X_53,i) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_370,plain,
( ~ less_than(i,successor(n))
| less_than(i,i) ),
inference(resolution,[status(thm)],[c_34,c_361]) ).
tff(c_375,plain,
~ less_than(i,successor(n)),
inference(negUnitSimplification,[status(thm)],[c_18,c_370]) ).
tff(c_483,plain,
~ less_than(i,n),
inference(resolution,[status(thm)],[c_477,c_375]) ).
tff(c_506,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30,c_483]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV006-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Apr 9 02:35:14 EDT 2025
% 0.13/0.35 % CPUTime :
% 3.60/1.89 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.60/1.89
% 3.60/1.89 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------