%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV005-1 : 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 : n015.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 3.45s 1.90s
% Output : CNFRefutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 3 ( 3 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ less_than > #nlpp > successor > predecessor > a > one > n > l > k > i
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(i,type,
i: $i ).
tff(l,type,
l: $i ).
tff(predecessor,type,
predecessor: $i > $i ).
tff(k,type,
k: $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(k,l),
file(unknown,unknown) ).
tff(f_108,axiom,
~ less_than(n,k),
file(unknown,unknown) ).
tff(f_115,axiom,
less_than(a(k),a(predecessor(l))),
file(unknown,unknown) ).
tff(f_114,axiom,
less_than(one,l),
file(unknown,unknown) ).
tff(f_133,axiom,
! [X] :
( less_than(X,l)
| less_than(n,X)
| ~ less_than(one,l)
| ~ less_than(a(X),a(predecessor(l))) ),
file(unknown,unknown) ).
tff(c_28,plain,
~ less_than(k,l),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_26,plain,
~ less_than(n,k),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_36,plain,
less_than(a(k),a(predecessor(l))),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_34,plain,
less_than(one,l),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_40,plain,
! [X_24] :
( ~ less_than(a(X_24),a(predecessor(l)))
| ~ less_than(one,l)
| less_than(n,X_24)
| less_than(X_24,l) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_326,plain,
! [X_50] :
( ~ less_than(a(X_50),a(predecessor(l)))
| less_than(n,X_50)
| less_than(X_50,l) ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_40]) ).
tff(c_335,plain,
( less_than(n,k)
| less_than(k,l) ),
inference(resolution,[status(thm)],[c_36,c_326]) ).
tff(c_341,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28,c_26,c_335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV005-1 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.13 % 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
% 0.13/0.34 % Computer : n015.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 : Wed Apr 9 02:35:35 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.45/1.90 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.70/1.91
% 3.70/1.91 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------