%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : HWV012-1 : 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 : n027.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 06:46:45 PM UTC 2025
% Result : Unsatisfiable 7.71s 2.74s
% Output : CNFRefutation 7.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 46 ( 23 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 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_941,axiom,
p_Wr_error(plus(t_139,n1)),
file(unknown,unknown) ).
tff(f_187,axiom,
! [X_t_37] :
( ~ p_Reset(X_t_37)
| ~ p_Wr_error(plus(X_t_37,n1)) ),
file(unknown,unknown) ).
tff(f_940,axiom,
p_Wr(t_139),
file(unknown,unknown) ).
tff(f_452,axiom,
! [X_t_42] :
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ p_Wr_error(plus(X_t_42,n1)) ),
file(unknown,unknown) ).
tff(f_146,axiom,
! [X_t_32] : ( level(X_t_32) = int_level(X_t_32) ),
file(unknown,unknown) ).
tff(f_939,axiom,
gt(fifo_length,level(t_139)),
file(unknown,unknown) ).
tff(f_227,axiom,
! [X_t_42] :
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| p_Rd(X_t_42)
| ~ gt(fifo_length,int_level(X_t_42))
| ~ p_Wr_error(plus(X_t_42,n1)) ),
file(unknown,unknown) ).
tff(c_186,plain,
p_Wr_error(plus(t_139,n1)),
inference(cnfTransformation,[status(thm)],[f_941]) ).
tff(c_255,plain,
! [X_t_37_153] :
( ~ p_Wr_error(plus(X_t_37_153,n1))
| ~ p_Reset(X_t_37_153) ),
inference(cnfTransformation,[status(thm)],[f_187]) ).
tff(c_263,plain,
~ p_Reset(t_139),
inference(resolution,[status(thm)],[c_186,c_255]) ).
tff(c_184,plain,
p_Wr(t_139),
inference(cnfTransformation,[status(thm)],[f_940]) ).
tff(c_629,plain,
! [X_t_42_193] :
( ~ p_Wr_error(plus(X_t_42_193,n1))
| ~ p_Rd(X_t_42_193)
| ~ p_Wr(X_t_42_193)
| p_Reset(X_t_42_193) ),
inference(cnfTransformation,[status(thm)],[f_452]) ).
tff(c_643,plain,
( ~ p_Rd(t_139)
| ~ p_Wr(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[c_186,c_629]) ).
tff(c_647,plain,
( ~ p_Rd(t_139)
| p_Reset(t_139) ),
inference(demodulation,[status(thm),theory(equality)],[c_184,c_643]) ).
tff(c_648,plain,
~ p_Rd(t_139),
inference(negUnitSimplification,[status(thm)],[c_263,c_647]) ).
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_182,plain,
gt(fifo_length,level(t_139)),
inference(cnfTransformation,[status(thm)],[f_939]) ).
tff(c_187,plain,
gt(fifo_length,int_level(t_139)),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_182]) ).
tff(c_5939,plain,
! [X_t_42_385] :
( ~ p_Wr_error(plus(X_t_42_385,n1))
| ~ gt(fifo_length,int_level(X_t_42_385))
| p_Rd(X_t_42_385)
| ~ p_Wr(X_t_42_385)
| p_Reset(X_t_42_385) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_5963,plain,
( ~ p_Wr_error(plus(t_139,n1))
| p_Rd(t_139)
| ~ p_Wr(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[c_187,c_5939]) ).
tff(c_5975,plain,
( p_Rd(t_139)
| p_Reset(t_139) ),
inference(demodulation,[status(thm),theory(equality)],[c_184,c_186,c_5963]) ).
tff(c_5977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_263,c_648,c_5975]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : HWV012-1 : TPTP v9.0.0. Released v2.5.0.
% 0.13/0.13 % 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
% 0.13/0.34 % Computer : n027.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 : Mon Apr 7 22:55:35 EDT 2025
% 0.13/0.34 % CPUTime :
% 7.71/2.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.71/2.75
% 7.71/2.75 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------