%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN070-1 : 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 : n009.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 10:02:31 PM UTC 2025
% Result : Unsatisfiable 2.73s 1.74s
% Output : CNFRefutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 100 ( 48 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 24 ( 24 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ big_j > big_h > big_g > big_f > #nlpp > f > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(big_h,type,
big_h: ( $i * $i ) > $o ).
tff(f,type,
f: $i > $i ).
tff(b,type,
b: $i ).
tff(big_g,type,
big_g: $i > $o ).
tff(big_f,type,
big_f: $i > $o ).
tff(big_j,type,
big_j: ( $i * $i ) > $o ).
tff(f_85,axiom,
big_f(b),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X] :
( ~ big_f(X)
| big_g(X)
| ~ big_g(a) ),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X] :
( ~ big_f(X)
| big_g(X)
| big_f(a) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [X] :
( ~ big_f(X)
| big_f(f(X))
| big_g(X) ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [X] :
( ~ big_f(X)
| big_h(f(X),X)
| big_g(X) ),
file(unknown,unknown) ).
tff(f_72,axiom,
! [X,Y] :
( ~ big_f(X)
| big_g(X)
| ~ big_f(Y)
| big_g(Y)
| big_j(a,Y) ),
file(unknown,unknown) ).
tff(f_84,axiom,
! [X,Y] :
( ~ big_f(X)
| ~ big_f(Y)
| ~ big_h(X,Y)
| ~ big_j(Y,X) ),
file(unknown,unknown) ).
tff(f_45,axiom,
! [X] :
( ~ big_f(X)
| ~ big_g(f(X))
| big_g(X) ),
file(unknown,unknown) ).
tff(f_87,axiom,
~ big_g(b),
file(unknown,unknown) ).
tff(c_16,plain,
big_f(b),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_10,plain,
! [X_5] :
( ~ big_g(a)
| big_g(X_5)
| ~ big_f(X_5) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_19,plain,
~ big_g(a),
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_8,plain,
! [X_4] :
( big_f(a)
| big_g(X_4)
| ~ big_f(X_4) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_20,plain,
big_f(a),
inference(splitLeft,[status(thm)],[c_8]) ).
tff(c_2,plain,
! [X_1] :
( big_g(X_1)
| big_f(f(X_1))
| ~ big_f(X_1) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_4,plain,
! [X_2] :
( big_g(X_2)
| big_h(f(X_2),X_2)
| ~ big_f(X_2) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_12,plain,
! [Y_7,X_6] :
( big_j(a,Y_7)
| big_g(Y_7)
| ~ big_f(Y_7)
| big_g(X_6)
| ~ big_f(X_6) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_26,plain,
! [X_15] :
( big_g(X_15)
| ~ big_f(X_15) ),
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_29,plain,
~ big_f(a),
inference(resolution,[status(thm)],[c_26,c_19]) ).
tff(c_36,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20,c_29]) ).
tff(c_38,plain,
! [Y_16] :
( big_j(a,Y_16)
| big_g(Y_16)
| ~ big_f(Y_16) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_14,plain,
! [Y_9,X_8] :
( ~ big_j(Y_9,X_8)
| ~ big_h(X_8,Y_9)
| ~ big_f(Y_9)
| ~ big_f(X_8) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_41,plain,
! [Y_16] :
( ~ big_h(Y_16,a)
| ~ big_f(a)
| big_g(Y_16)
| ~ big_f(Y_16) ),
inference(resolution,[status(thm)],[c_38,c_14]) ).
tff(c_45,plain,
! [Y_17] :
( ~ big_h(Y_17,a)
| big_g(Y_17)
| ~ big_f(Y_17) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_41]) ).
tff(c_49,plain,
( big_g(f(a))
| ~ big_f(f(a))
| big_g(a)
| ~ big_f(a) ),
inference(resolution,[status(thm)],[c_4,c_45]) ).
tff(c_52,plain,
( big_g(f(a))
| ~ big_f(f(a))
| big_g(a) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_49]) ).
tff(c_53,plain,
( big_g(f(a))
| ~ big_f(f(a)) ),
inference(negUnitSimplification,[status(thm)],[c_19,c_52]) ).
tff(c_54,plain,
~ big_f(f(a)),
inference(splitLeft,[status(thm)],[c_53]) ).
tff(c_57,plain,
( big_g(a)
| ~ big_f(a) ),
inference(resolution,[status(thm)],[c_2,c_54]) ).
tff(c_60,plain,
big_g(a),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_57]) ).
tff(c_62,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19,c_60]) ).
tff(c_63,plain,
big_g(f(a)),
inference(splitRight,[status(thm)],[c_53]) ).
tff(c_6,plain,
! [X_3] :
( big_g(X_3)
| ~ big_g(f(X_3))
| ~ big_f(X_3) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_67,plain,
( big_g(a)
| ~ big_f(a) ),
inference(resolution,[status(thm)],[c_63,c_6]) ).
tff(c_70,plain,
big_g(a),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_67]) ).
tff(c_72,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19,c_70]) ).
tff(c_75,plain,
! [X_18] :
( big_g(X_18)
| ~ big_f(X_18) ),
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_18,plain,
~ big_g(b),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_81,plain,
~ big_f(b),
inference(resolution,[status(thm)],[c_75,c_18]) ).
tff(c_86,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_81]) ).
tff(c_90,plain,
! [X_19] :
( big_g(X_19)
| ~ big_f(X_19) ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_93,plain,
~ big_f(b),
inference(resolution,[status(thm)],[c_90,c_18]) ).
tff(c_97,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SYN070-1 : TPTP v9.0.0. Released v1.0.0.
% 0.02/0.13 % 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
% 0.12/0.33 % Computer : n009.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 06:55:26 EDT 2025
% 0.12/0.33 % CPUTime :
% 2.73/1.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.73/1.74
% 2.73/1.74 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------