%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN009-1 : 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 : n021.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 10:01:51 PM UTC 2025
% Result : Unsatisfiable 2.54s 1.59s
% Output : CNFRefutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 41 ( 21 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 24 ( 24 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ r > q > p > s > #nlpp > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(r,type,
r: ( $i * $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(p,type,
p: ( $i * $i * $i ) > $o ).
tff(s,type,
s: $i > $o ).
tff(q,type,
q: ( $i * $i * $i ) > $o ).
tff(c,type,
c: $i ).
tff(f_33,axiom,
s(c),
file(unknown,unknown) ).
tff(f_48,axiom,
! [X,Y,Z] :
( ~ s(X)
| ~ s(Y)
| ~ s(Z)
| p(X,Y,Z)
| q(X,Y,Z)
| r(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [X,Y] : ~ r(X,Y,c),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X,Y] : ~ q(X,c,Y),
file(unknown,unknown) ).
tff(f_24,axiom,
! [X,Y] : ~ p(c,X,Y),
file(unknown,unknown) ).
tff(c_12,plain,
s(c),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_18,plain,
! [X_16,Y_17,Z_18] :
( r(X_16,Y_17,Z_18)
| q(X_16,Y_17,Z_18)
| p(X_16,Y_17,Z_18)
| ~ s(Z_18)
| ~ s(Y_17)
| ~ s(X_16) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_6,plain,
! [X_5,Y_6] : ~ r(X_5,Y_6,c),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_22,plain,
! [X_16,Y_17] :
( q(X_16,Y_17,c)
| p(X_16,Y_17,c)
| ~ s(c)
| ~ s(Y_17)
| ~ s(X_16) ),
inference(resolution,[status(thm)],[c_18,c_6]) ).
tff(c_26,plain,
! [X_19,Y_20] :
( q(X_19,Y_20,c)
| p(X_19,Y_20,c)
| ~ s(Y_20)
| ~ s(X_19) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_22]) ).
tff(c_4,plain,
! [X_3,Y_4] : ~ q(X_3,c,Y_4),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_30,plain,
! [X_19] :
( p(X_19,c,c)
| ~ s(c)
| ~ s(X_19) ),
inference(resolution,[status(thm)],[c_26,c_4]) ).
tff(c_34,plain,
! [X_21] :
( p(X_21,c,c)
| ~ s(X_21) ),
inference(demodulation,[status(thm),theory(equality)],[c_12,c_30]) ).
tff(c_2,plain,
! [X_1,Y_2] : ~ p(c,X_1,Y_2),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_38,plain,
~ s(c),
inference(resolution,[status(thm)],[c_34,c_2]) ).
tff(c_42,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12,c_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN009-1 : 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
% 0.13/0.34 % Computer : n021.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 06:51:14 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.54/1.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.54/1.59
% 2.54/1.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------