%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : HWV032-1 : 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/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 : n032.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 06:46:51 PM UTC 2025
% Result : Unsatisfiable 4.62s 2.10s
% Output : CNFRefutation 4.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 2 ( 2 !; 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 > t_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(t_139,type,
t_139: $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(level,type,
level: $i > $i ).
tff(p_Rd,type,
p_Rd: $i > $o ).
tff(minus,type,
minus: ( $i * $i ) > $i ).
tff(f_939,axiom,
p_Reset(t_139),
file(unknown,unknown) ).
tff(f_942,axiom,
gt(fifo_length,n0),
file(unknown,unknown) ).
tff(f_181,axiom,
! [X_t_37] :
( ~ p_Reset(X_t_37)
| ( rd_level(plus(X_t_37,n1)) = n0 ) ),
file(unknown,unknown) ).
tff(f_941,axiom,
~ gt(fifo_length,rd_level(plus(t_139,n1))),
file(unknown,unknown) ).
tff(c_182,plain,
p_Reset(t_139),
inference(cnfTransformation,[status(thm)],[f_939]) ).
tff(c_186,plain,
gt(fifo_length,n0),
inference(cnfTransformation,[status(thm)],[f_942]) ).
tff(c_333,plain,
! [X_t_37_162] :
( ( rd_level(plus(X_t_37_162,n1)) = n0 )
| ~ p_Reset(X_t_37_162) ),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_184,plain,
~ gt(fifo_length,rd_level(plus(t_139,n1))),
inference(cnfTransformation,[status(thm)],[f_941]) ).
tff(c_339,plain,
( ~ gt(fifo_length,n0)
| ~ p_Reset(t_139) ),
inference(superposition,[status(thm),theory(equality)],[c_333,c_184]) ).
tff(c_353,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_182,c_186,c_339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : HWV032-1 : TPTP v9.0.0. Released v2.5.0.
% 0.00/0.08 % 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
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 7 22:57:46 EDT 2025
% 0.07/0.27 % CPUTime :
% 4.62/2.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.91/2.10
% 4.91/2.10 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------