%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : KRS012-1 : TPTP v9.0.0. Released v2.0.0.
% 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 : n022.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 07:07:09 PM UTC 2025
% Result : Unsatisfiable 3.05s 1.81s
% Output : CNFRefutation 3.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 21 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r > f > e > d > c > #nlpp > u1r1 > u0r2 > u0r1 > exists
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(u0r1,type,
u0r1: $i > $i ).
tff(d,type,
d: $i > $o ).
tff(u1r1,type,
u1r1: $i > $i ).
tff(c,type,
c: $i > $o ).
tff(e,type,
e: $i > $o ).
tff(exists,type,
exists: $i ).
tff(u0r2,type,
u0r2: $i > $i ).
tff(r,type,
r: ( $i * $i ) > $o ).
tff(f,type,
f: $i > $o ).
tff(f_22,axiom,
c(exists),
file(unknown,unknown) ).
tff(f_101,axiom,
! [X1] :
( f(X1)
| r(X1,u1r1(X1)) ),
file(unknown,unknown) ).
tff(f_43,axiom,
! [X2,X1] :
( d(X2)
| ~ c(X1)
| ~ r(X1,X2) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [X3,X1] :
( e(X3)
| ~ c(X1)
| ~ r(X1,X3)
| ~ d(X3) ),
file(unknown,unknown) ).
tff(f_97,axiom,
! [X1] :
( f(X1)
| ~ e(u1r1(X1)) ),
file(unknown,unknown) ).
tff(f_24,axiom,
~ f(exists),
file(unknown,unknown) ).
tff(c_2,plain,
c(exists),
inference(cnfTransformation,[status(thm)],[f_22]) ).
tff(c_26,plain,
! [X1_14] :
( r(X1_14,u1r1(X1_14))
| f(X1_14) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_29,plain,
! [X1_17,X2_18] :
( ~ r(X1_17,X2_18)
| ~ c(X1_17)
| d(X2_18) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_33,plain,
! [X1_14] :
( ~ c(X1_14)
| d(u1r1(X1_14))
| f(X1_14) ),
inference(resolution,[status(thm)],[c_26,c_29]) ).
tff(c_69,plain,
! [X3_27,X1_28] :
( ~ d(X3_27)
| ~ r(X1_28,X3_27)
| ~ c(X1_28)
| e(X3_27) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_99,plain,
! [X1_30] :
( ~ d(u1r1(X1_30))
| ~ c(X1_30)
| e(u1r1(X1_30))
| f(X1_30) ),
inference(resolution,[status(thm)],[c_26,c_69]) ).
tff(c_24,plain,
! [X1_13] :
( ~ e(u1r1(X1_13))
| f(X1_13) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_105,plain,
! [X1_32] :
( ~ d(u1r1(X1_32))
| ~ c(X1_32)
| f(X1_32) ),
inference(resolution,[status(thm)],[c_99,c_24]) ).
tff(c_110,plain,
! [X1_33] :
( ~ c(X1_33)
| f(X1_33) ),
inference(resolution,[status(thm)],[c_33,c_105]) ).
tff(c_4,plain,
~ f(exists),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_113,plain,
~ c(exists),
inference(resolution,[status(thm)],[c_110,c_4]) ).
tff(c_117,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS012-1 : TPTP v9.0.0. Released v2.0.0.
% 0.06/0.13 % 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
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 8 02:53:35 EDT 2025
% 0.12/0.34 % CPUTime :
% 3.05/1.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.05/1.82
% 3.05/1.82 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------