%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : HWV024-1 : 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 : n012.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 06:46:49 PM UTC 2025
% Result : Unsatisfiable 11.88s 3.95s
% Output : CNFRefutation 12.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 78 ( 27 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 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_140 > 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(x_140,type,
x_140: $i ).
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_942,axiom,
~ p_Reset(x_140),
file(unknown,unknown) ).
tff(f_940,axiom,
~ p_Rd(x_140),
file(unknown,unknown) ).
tff(f_950,axiom,
( p_Data_out(x_139,x_140)
| p_Data_out(x_139,plus(x_140,n1)) ),
file(unknown,unknown) ).
tff(f_878,axiom,
! [X_t_42,X_k1_119] :
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| p_Rd(X_t_42)
| p_Data_out(X_k1_119,plus(X_t_42,n1))
| ~ p_Data_out(X_k1_119,X_t_42) ),
file(unknown,unknown) ).
tff(f_947,axiom,
( ~ p_Data_out(x_139,x_140)
| ~ p_Data_out(x_139,plus(x_140,n1)) ),
file(unknown,unknown) ).
tff(f_417,axiom,
! [X_t_42,X_k1_64] :
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| p_Data_out(X_k1_64,plus(X_t_42,n1))
| ~ p_Data_out(X_k1_64,X_t_42) ),
file(unknown,unknown) ).
tff(f_405,axiom,
! [X_t_42,X_k1_64] :
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| ~ p_Data_out(X_k1_64,plus(X_t_42,n1))
| p_Data_out(X_k1_64,X_t_42) ),
file(unknown,unknown) ).
tff(f_867,axiom,
! [X_t_42,X_k1_119] :
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| p_Rd(X_t_42)
| ~ p_Data_out(X_k1_119,plus(X_t_42,n1))
| p_Data_out(X_k1_119,X_t_42) ),
file(unknown,unknown) ).
tff(c_184,plain,
~ p_Reset(x_140),
inference(cnfTransformation,[status(thm)],[f_942]) ).
tff(c_182,plain,
~ p_Rd(x_140),
inference(cnfTransformation,[status(thm)],[f_940]) ).
tff(c_188,plain,
( p_Data_out(x_139,plus(x_140,n1))
| p_Data_out(x_139,x_140) ),
inference(cnfTransformation,[status(thm)],[f_950]) ).
tff(c_348,plain,
p_Data_out(x_139,x_140),
inference(splitLeft,[status(thm)],[c_188]) ).
tff(c_2978,plain,
! [X_k1_119_270,X_t_42_271] :
( ~ p_Data_out(X_k1_119_270,X_t_42_271)
| p_Data_out(X_k1_119_270,plus(X_t_42_271,n1))
| p_Rd(X_t_42_271)
| p_Wr(X_t_42_271)
| p_Reset(X_t_42_271) ),
inference(cnfTransformation,[status(thm)],[f_878]) ).
tff(c_186,plain,
( ~ p_Data_out(x_139,plus(x_140,n1))
| ~ p_Data_out(x_139,x_140) ),
inference(cnfTransformation,[status(thm)],[f_947]) ).
tff(c_447,plain,
~ p_Data_out(x_139,plus(x_140,n1)),
inference(demodulation,[status(thm),theory(equality)],[c_348,c_186]) ).
tff(c_2986,plain,
( ~ p_Data_out(x_139,x_140)
| p_Rd(x_140)
| p_Wr(x_140)
| p_Reset(x_140) ),
inference(resolution,[status(thm)],[c_2978,c_447]) ).
tff(c_3007,plain,
( p_Rd(x_140)
| p_Wr(x_140)
| p_Reset(x_140) ),
inference(demodulation,[status(thm),theory(equality)],[c_348,c_2986]) ).
tff(c_3008,plain,
p_Wr(x_140),
inference(negUnitSimplification,[status(thm)],[c_184,c_182,c_3007]) ).
tff(c_4127,plain,
! [X_k1_64_305,X_t_42_306] :
( ~ p_Data_out(X_k1_64_305,X_t_42_306)
| p_Data_out(X_k1_64_305,plus(X_t_42_306,n1))
| p_Rd(X_t_42_306)
| ~ p_Wr(X_t_42_306)
| p_Reset(X_t_42_306) ),
inference(cnfTransformation,[status(thm)],[f_417]) ).
tff(c_4138,plain,
( ~ p_Data_out(x_139,x_140)
| p_Rd(x_140)
| ~ p_Wr(x_140)
| p_Reset(x_140) ),
inference(resolution,[status(thm)],[c_4127,c_447]) ).
tff(c_4160,plain,
( p_Rd(x_140)
| p_Reset(x_140) ),
inference(demodulation,[status(thm),theory(equality)],[c_3008,c_348,c_4138]) ).
tff(c_4162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184,c_182,c_4160]) ).
tff(c_4164,plain,
~ p_Data_out(x_139,x_140),
inference(splitRight,[status(thm)],[c_188]) ).
tff(c_4163,plain,
p_Data_out(x_139,plus(x_140,n1)),
inference(splitRight,[status(thm)],[c_188]) ).
tff(c_6718,plain,
! [X_k1_64_414,X_t_42_415] :
( p_Data_out(X_k1_64_414,X_t_42_415)
| ~ p_Data_out(X_k1_64_414,plus(X_t_42_415,n1))
| p_Rd(X_t_42_415)
| ~ p_Wr(X_t_42_415)
| p_Reset(X_t_42_415) ),
inference(cnfTransformation,[status(thm)],[f_405]) ).
tff(c_6725,plain,
( p_Data_out(x_139,x_140)
| p_Rd(x_140)
| ~ p_Wr(x_140)
| p_Reset(x_140) ),
inference(resolution,[status(thm)],[c_4163,c_6718]) ).
tff(c_6735,plain,
~ p_Wr(x_140),
inference(negUnitSimplification,[status(thm)],[c_184,c_182,c_4164,c_6725]) ).
tff(c_7411,plain,
! [X_k1_119_431,X_t_42_432] :
( p_Data_out(X_k1_119_431,X_t_42_432)
| ~ p_Data_out(X_k1_119_431,plus(X_t_42_432,n1))
| p_Rd(X_t_42_432)
| p_Wr(X_t_42_432)
| p_Reset(X_t_42_432) ),
inference(cnfTransformation,[status(thm)],[f_867]) ).
tff(c_7418,plain,
( p_Data_out(x_139,x_140)
| p_Rd(x_140)
| p_Wr(x_140)
| p_Reset(x_140) ),
inference(resolution,[status(thm)],[c_4163,c_7411]) ).
tff(c_7429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184,c_6735,c_182,c_4164,c_7418]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HWV024-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 7 22:56:30 EDT 2025
% 0.14/0.35 % CPUTime :
% 11.88/3.95 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.88/3.96
% 11.88/3.96 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------