%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : HWV015-1 : TPTP v9.0.0. Released v2.5.0.
% 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 : n007.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 06:46:46 PM UTC 2025
% Result : Unsatisfiable 8.48s 2.93s
% Output : CNFRefutation 8.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 9 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p_Mem > p_Data_out > p_Data_in > gt > def_10 > p_Wr_error > p_Wr > p_Reset > p_Rd_error > p_Rd > p_Full > p_Empty > plus > minus > #nlpp > y_27 > wr_level > rd_level > level > int_level > x_139 > n1 > n0 > fifo_length
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p_Data_out,type,
p_Data_out: ( $i * $i ) > $o ).
tff(rd_level,type,
rd_level: $i > $i ).
tff(p_Mem,type,
p_Mem: ( $i * $i * $i ) > $o ).
tff(p_Rd_error,type,
p_Rd_error: $i > $o ).
tff(fifo_length,type,
fifo_length: $i ).
tff(p_Wr,type,
p_Wr: $i > $o ).
tff(def_10,type,
def_10: ( $i * $i ) > $o ).
tff(y_27,type,
y_27: $i > $i ).
tff(n1,type,
n1: $i ).
tff(plus,type,
plus: ( $i * $i ) > $i ).
tff(wr_level,type,
wr_level: $i > $i ).
tff(int_level,type,
int_level: $i > $i ).
tff(p_Full,type,
p_Full: $i > $o ).
tff(n0,type,
n0: $i ).
tff(p_Reset,type,
p_Reset: $i > $o ).
tff(gt,type,
gt: ( $i * $i ) > $o ).
tff(p_Empty,type,
p_Empty: $i > $o ).
tff(p_Wr_error,type,
p_Wr_error: $i > $o ).
tff(p_Data_in,type,
p_Data_in: ( $i * $i ) > $o ).
tff(x_139,type,
x_139: $i ).
tff(level,type,
level: $i > $i ).
tff(p_Rd,type,
p_Rd: $i > $o ).
tff(minus,type,
minus: ( $i * $i ) > $i ).
tff(f_943,axiom,
~ p_Reset(x_139),
file(unknown,unknown) ).
tff(f_146,axiom,
! [X_t_32] : ( level(X_t_32) = int_level(X_t_32) ),
file(unknown,unknown) ).
tff(f_945,axiom,
level(plus(x_139,n1)) != level(x_139),
file(unknown,unknown) ).
tff(f_941,axiom,
p_Wr(x_139),
file(unknown,unknown) ).
tff(f_940,axiom,
p_Rd(x_139),
file(unknown,unknown) ).
tff(f_939,axiom,
gt(level(x_139),n0),
file(unknown,unknown) ).
tff(f_479,axiom,
! [X_t_42] :
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| ( int_level(plus(X_t_42,n1)) = int_level(X_t_42) ) ),
file(unknown,unknown) ).
tff(c_188,plain,
~ p_Reset(x_139),
inference(cnfTransformation,[status(thm)],[f_943]) ).
tff(c_42,plain,
! [X_t_32_35] : ( level(X_t_32_35) = int_level(X_t_32_35) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_190,plain,
level(plus(x_139,n1)) != level(x_139),
inference(cnfTransformation,[status(thm)],[f_945]) ).
tff(c_192,plain,
int_level(plus(x_139,n1)) != int_level(x_139),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_42,c_190]) ).
tff(c_186,plain,
p_Wr(x_139),
inference(cnfTransformation,[status(thm)],[f_941]) ).
tff(c_184,plain,
p_Rd(x_139),
inference(cnfTransformation,[status(thm)],[f_940]) ).
tff(c_182,plain,
gt(level(x_139),n0),
inference(cnfTransformation,[status(thm)],[f_939]) ).
tff(c_191,plain,
gt(int_level(x_139),n0),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_182]) ).
tff(c_5815,plain,
! [X_t_42_330] :
( ( int_level(plus(X_t_42_330,n1)) = int_level(X_t_42_330) )
| ~ gt(int_level(X_t_42_330),n0)
| ~ p_Rd(X_t_42_330)
| ~ p_Wr(X_t_42_330)
| p_Reset(X_t_42_330) ),
inference(cnfTransformation,[status(thm)],[f_479]) ).
tff(c_5863,plain,
( ( int_level(plus(x_139,n1)) = int_level(x_139) )
| ~ p_Rd(x_139)
| ~ p_Wr(x_139)
| p_Reset(x_139) ),
inference(resolution,[status(thm)],[c_191,c_5815]) ).
tff(c_5883,plain,
( ( int_level(plus(x_139,n1)) = int_level(x_139) )
| p_Reset(x_139) ),
inference(demodulation,[status(thm),theory(equality)],[c_186,c_184,c_5863]) ).
tff(c_5885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188,c_192,c_5883]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HWV015-1 : TPTP v9.0.0. Released v2.5.0.
% 0.06/0.13 % 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
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 7 22:55:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 8.48/2.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.48/2.94
% 8.48/2.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------