%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN055-1 : 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/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 : n024.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 10:02:19 PM UTC 2025
% Result : Unsatisfiable 2.75s 1.70s
% Output : CNFRefutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 16 ( 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_r > big_q > big_p > big_g > big_f > #nlpp > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(big_q,type,
big_q: $i > $o ).
tff(b,type,
b: $i ).
tff(big_g,type,
big_g: $i > $o ).
tff(big_p,type,
big_p: $i > $o ).
tff(big_f,type,
big_f: $i > $o ).
tff(big_r,type,
big_r: $i > $o ).
tff(f_49,axiom,
! [X] :
( ~ big_p(X)
| big_q(X)
| big_p(b) ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [X] :
( ~ big_p(X)
| big_f(X) ),
file(unknown,unknown) ).
tff(f_42,axiom,
! [X] :
( ~ big_p(X)
| big_g(X) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X] :
( ~ big_p(X)
| big_q(X)
| big_r(b) ),
file(unknown,unknown) ).
tff(f_32,axiom,
! [X] :
( ~ big_f(X)
| ~ big_g(X)
| ~ big_r(X) ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [X] :
( ~ big_q(X)
| ~ big_p(X) ),
file(unknown,unknown) ).
tff(f_23,axiom,
big_p(a),
file(unknown,unknown) ).
tff(c_10,plain,
! [X_4] :
( big_p(b)
| big_q(X_4)
| ~ big_p(X_4) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_32,plain,
big_p(b),
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_6,plain,
! [X_2] :
( big_f(X_2)
| ~ big_p(X_2) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_39,plain,
big_f(b),
inference(resolution,[status(thm)],[c_32,c_6]) ).
tff(c_8,plain,
! [X_3] :
( big_g(X_3)
| ~ big_p(X_3) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_40,plain,
big_g(b),
inference(resolution,[status(thm)],[c_32,c_8]) ).
tff(c_12,plain,
! [X_5] :
( big_r(b)
| big_q(X_5)
| ~ big_p(X_5) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_27,plain,
big_r(b),
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_4,plain,
! [X_1] :
( ~ big_r(X_1)
| ~ big_g(X_1)
| ~ big_f(X_1) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_31,plain,
( ~ big_g(b)
| ~ big_f(b) ),
inference(resolution,[status(thm)],[c_27,c_4]) ).
tff(c_42,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39,c_40,c_31]) ).
tff(c_45,plain,
! [X_11] :
( big_q(X_11)
| ~ big_p(X_11) ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_14,plain,
! [X_6] :
( ~ big_p(X_6)
| ~ big_q(X_6) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_49,plain,
! [X_11] : ~ big_p(X_11),
inference(resolution,[status(thm)],[c_45,c_14]) ).
tff(c_2,plain,
big_p(a),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_51,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49,c_2]) ).
tff(c_54,plain,
! [X_12] :
( big_q(X_12)
| ~ big_p(X_12) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_58,plain,
! [X_12] : ~ big_p(X_12),
inference(resolution,[status(thm)],[c_54,c_14]) ).
tff(c_60,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN055-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.13 % 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
% 0.13/0.34 % Computer : n024.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 06:54:06 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.75/1.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.75/1.71
% 2.75/1.71 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------