%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN054-1 : 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 : n002.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 2.44s 1.61s
% Output : CNFRefutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 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 : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 13 ( 13 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_s > big_r > big_q > big_p > #nlpp > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(big_s,type,
big_s: $i > $o ).
tff(big_q,type,
big_q: $i > $o ).
tff(b,type,
b: $i ).
tff(big_p,type,
big_p: $i > $o ).
tff(big_r,type,
big_r: $i > $o ).
tff(f_43,axiom,
! [X] :
( ~ big_q(X)
| big_s(X) ),
file(unknown,unknown) ).
tff(f_28,axiom,
! [X] :
( ~ big_s(X)
| ~ big_q(X) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [X] :
( ~ big_p(X)
| big_q(X)
| big_r(X) ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [X] :
( ~ big_p(X)
| ~ big_r(X) ),
file(unknown,unknown) ).
tff(f_38,axiom,
( big_p(a)
| big_q(b) ),
file(unknown,unknown) ).
tff(c_37,plain,
! [X_12] :
( big_s(X_12)
| ~ big_q(X_12) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_2,plain,
! [X_1] :
( ~ big_q(X_1)
| ~ big_s(X_1) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_41,plain,
! [X_12] : ~ big_q(X_12),
inference(resolution,[status(thm)],[c_37,c_2]) ).
tff(c_21,plain,
! [X_9] :
( big_s(X_9)
| ~ big_q(X_9) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_25,plain,
! [X_9] : ~ big_q(X_9),
inference(resolution,[status(thm)],[c_21,c_2]) ).
tff(c_4,plain,
! [X_2] :
( big_r(X_2)
| big_q(X_2)
| ~ big_p(X_2) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_28,plain,
! [X_11] :
( big_r(X_11)
| ~ big_p(X_11) ),
inference(negUnitSimplification,[status(thm)],[c_25,c_4]) ).
tff(c_12,plain,
! [X_5] :
( ~ big_r(X_5)
| ~ big_p(X_5) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_32,plain,
! [X_11] : ~ big_p(X_11),
inference(resolution,[status(thm)],[c_28,c_12]) ).
tff(c_6,plain,
( big_q(b)
| big_p(a) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_20,plain,
big_p(a),
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_34,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32,c_20]) ).
tff(c_35,plain,
big_q(b),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_43,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41,c_35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN054-1 : 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
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Apr 9 06:54:33 EDT 2025
% 0.12/0.33 % CPUTime :
% 2.44/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.44/1.61
% 2.44/1.61 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------