%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN060-1 : 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 : n015.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 10:02:21 PM UTC 2025
% Result : Unsatisfiable 2.46s 1.57s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 6 ( 6 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_i > big_h > big_g > big_f > #nlpp > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(big_h,type,
big_h: $i > $o ).
tff(big_g,type,
big_g: $i > $o ).
tff(big_i,type,
big_i: $i > $o ).
tff(big_f,type,
big_f: $i > $o ).
tff(f_46,axiom,
! [X] :
( big_i(X)
| big_f(X) ),
file(unknown,unknown) ).
tff(f_52,axiom,
~ big_i(a),
file(unknown,unknown) ).
tff(f_50,axiom,
! [X] :
( big_i(X)
| big_h(X) ),
file(unknown,unknown) ).
tff(f_28,axiom,
! [X] :
( ~ big_f(X)
| ~ big_h(X) ),
file(unknown,unknown) ).
tff(c_27,plain,
! [X_11] :
( big_f(X_11)
| big_i(X_11) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_14,plain,
~ big_i(a),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_31,plain,
big_f(a),
inference(resolution,[status(thm)],[c_27,c_14]) ).
tff(c_32,plain,
! [X_12] :
( big_h(X_12)
| big_i(X_12) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_36,plain,
big_h(a),
inference(resolution,[status(thm)],[c_32,c_14]) ).
tff(c_2,plain,
! [X_1] :
( ~ big_h(X_1)
| ~ big_f(X_1) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_42,plain,
~ big_f(a),
inference(resolution,[status(thm)],[c_36,c_2]) ).
tff(c_47,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31,c_42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN060-1 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.13 % 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 : n015.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 : Wed Apr 9 06:54:50 EDT 2025
% 0.12/0.34 % CPUTime :
% 2.46/1.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.46/1.58
% 2.46/1.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------