%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN057-1 : 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 : n018.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 10:02:20 PM UTC 2025
% Result : Unsatisfiable 2.49s 1.55s
% Output : CNFRefutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 22 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 11 ( 11 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_j > big_i > big_h > big_g > big_f > #nlpp > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(big_h,type,
big_h: $i > $o ).
tff(b,type,
b: $i ).
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(big_j,type,
big_j: $i > $o ).
tff(f_23,axiom,
big_f(a),
file(unknown,unknown) ).
tff(f_30,axiom,
! [X] :
( ~ big_f(X)
| big_h(X) ),
file(unknown,unknown) ).
tff(f_51,axiom,
big_i(b),
file(unknown,unknown) ).
tff(f_50,axiom,
big_j(b),
file(unknown,unknown) ).
tff(f_38,axiom,
! [X] :
( ~ big_j(X)
| ~ big_i(X)
| big_f(X) ),
file(unknown,unknown) ).
tff(f_49,axiom,
! [X,Y] :
( ~ big_h(X)
| big_g(X)
| ~ big_i(Y)
| ~ big_h(Y) ),
file(unknown,unknown) ).
tff(f_25,axiom,
~ big_g(a),
file(unknown,unknown) ).
tff(c_2,plain,
big_f(a),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_6,plain,
! [X_1] :
( big_h(X_1)
| ~ big_f(X_1) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_14,plain,
big_i(b),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_12,plain,
big_j(b),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_16,plain,
! [X_6] :
( big_f(X_6)
| ~ big_i(X_6)
| ~ big_j(X_6) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_19,plain,
( big_f(b)
| ~ big_i(b) ),
inference(resolution,[status(thm)],[c_12,c_16]) ).
tff(c_22,plain,
big_f(b),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_19]) ).
tff(c_10,plain,
! [Y_4,X_3] :
( ~ big_h(Y_4)
| ~ big_i(Y_4)
| big_g(X_3)
| ~ big_h(X_3) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_24,plain,
! [Y_7] :
( ~ big_h(Y_7)
| ~ big_i(Y_7) ),
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_28,plain,
~ big_h(b),
inference(resolution,[status(thm)],[c_14,c_24]) ).
tff(c_31,plain,
~ big_f(b),
inference(resolution,[status(thm)],[c_6,c_28]) ).
tff(c_35,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_31]) ).
tff(c_37,plain,
! [X_8] :
( big_g(X_8)
| ~ big_h(X_8) ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_42,plain,
! [X_9] :
( big_g(X_9)
| ~ big_f(X_9) ),
inference(resolution,[status(thm)],[c_6,c_37]) ).
tff(c_4,plain,
~ big_g(a),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_45,plain,
~ big_f(a),
inference(resolution,[status(thm)],[c_42,c_4]) ).
tff(c_49,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN057-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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 : n018.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 06:54:17 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.49/1.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.54/1.56
% 2.54/1.56 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------