%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN050-1 : 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 : n028.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 10:02:17 PM UTC 2025
% Result : Unsatisfiable 2.27s 1.51s
% Output : CNFRefutation 2.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_s > big_r > big_q > big_p > f > #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,type,
f: ( $i * $i ) > $i ).
tff(f_42,axiom,
! [W] : ~ big_r(W),
file(unknown,unknown) ).
tff(f_29,axiom,
! [Y,Z] :
( ~ big_p(Y)
| ~ big_q(Z)
| big_r(f(Y,Z)) ),
file(unknown,unknown) ).
tff(f_38,axiom,
big_p(a),
file(unknown,unknown) ).
tff(f_39,axiom,
big_q(b),
file(unknown,unknown) ).
tff(c_10,plain,
! [W_6] : ~ big_r(W_6),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_2,plain,
! [Y_1,Z_2] :
( big_r(f(Y_1,Z_2))
| ~ big_q(Z_2)
| ~ big_p(Y_1) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_11,plain,
! [Z_2,Y_1] :
( ~ big_q(Z_2)
| ~ big_p(Y_1) ),
inference(negUnitSimplification,[status(thm)],[c_10,c_2]) ).
tff(c_13,plain,
! [Y_1] : ~ big_p(Y_1),
inference(splitLeft,[status(thm)],[c_11]) ).
tff(c_6,plain,
big_p(a),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_15,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13,c_6]) ).
tff(c_16,plain,
! [Z_2] : ~ big_q(Z_2),
inference(splitRight,[status(thm)],[c_11]) ).
tff(c_8,plain,
big_q(b),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_18,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16,c_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN050-1 : TPTP v9.0.0. Released v1.0.0.
% 0.13/0.13 % 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
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Apr 9 06:53:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 2.27/1.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.27/1.51
% 2.27/1.51 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------