%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV018-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:34:20 AM UTC 2026
% Result : Unsatisfiable 0.29s 0.41s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 16 unt; 0 def)
% Number of atoms : 102 ( 21 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 81 ( 19 ~; 62 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_44,axiom,
! [VAR_0] :
( int_level(plus(VAR_0,n1)) = int_level(VAR_0)
| gt(fifo_length,int_level(VAR_0))
| p_Rd(VAR_0)
| ~ p_Wr(VAR_0)
| p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_44) ).
cnf(c_32,plain,
( int_level(plus(A,n1)) = int_level(A)
| gt(fifo_length,int_level(A))
| p_Rd(A)
| ~ p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_44]) ).
fof(axiom_42,axiom,
! [VAR_0] :
( p_Wr_error(plus(VAR_0,n1))
| gt(fifo_length,int_level(VAR_0))
| p_Rd(VAR_0)
| ~ p_Wr(VAR_0)
| p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_42) ).
cnf(c_34,plain,
( p_Wr_error(plus(A,n1))
| gt(fifo_length,int_level(A))
| p_Rd(A)
| ~ p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_42]) ).
fof(axiom_82,axiom,
! [VAR_0] :
( int_level(plus(VAR_0,n1)) = int_level(VAR_0)
| p_Rd(VAR_0)
| p_Wr(VAR_0)
| p_Reset(VAR_0) ),
file('theBenchmark.p',axiom_82) ).
cnf(c_56,plain,
( int_level(plus(A,n1)) = int_level(A)
| p_Rd(A)
| p_Wr(A)
| p_Reset(A) ),
inference(clausify,[status(thm)],[axiom_82]) ).
fof(quest_2,axiom,
p_Wr(t_139),
file('theBenchmark.p',quest_2) ).
cnf(c_65,plain,
p_Wr(t_139),
inference(clausify,[status(thm)],[quest_2]) ).
cnf(c_72,plain,
( p_Wr_error(plus(t_139,n1))
| gt(fifo_length,int_level(t_139))
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolve,[status(thm)],[c_65,c_34]) ).
cnf(c_219,plain,
( int_level(plus(A,n1)) = int_level(A)
| gt(fifo_length,int_level(A))
| p_Rd(A)
| p_Reset(A)
| int_level(plus(A,n1)) = int_level(A)
| p_Rd(A)
| p_Reset(A) ),
inference(resolve,[status(thm)],[c_56,c_32]) ).
cnf(c_730,plain,
( int_level(plus(A,n1)) = int_level(A)
| gt(fifo_length,int_level(A))
| p_Rd(A)
| int_level(plus(A,n1)) = int_level(A)
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_219]) ).
cnf(c_731,plain,
( int_level(plus(A,n1)) = int_level(A)
| gt(fifo_length,int_level(A))
| int_level(plus(A,n1)) = int_level(A)
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_730]) ).
cnf(c_220,plain,
( gt(fifo_length,int_level(A))
| int_level(plus(A,n1)) = int_level(A)
| p_Rd(A)
| p_Reset(A) ),
inference(copy,[status(thm)],[c_731]) ).
fof(quest_5,axiom,
( ~ p_Wr_error(plus(t_139,n1))
| ~ p_Full(plus(t_139,n1)) ),
file('theBenchmark.p',quest_5) ).
cnf(c_467,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ p_Full(plus(t_139,n1)) ),
inference(clausify,[status(thm)],[quest_5]) ).
fof(quest_4,axiom,
~ p_Reset(t_139),
file('theBenchmark.p',quest_4) ).
cnf(c_468,plain,
~ p_Reset(t_139),
inference(clausify,[status(thm)],[quest_4]) ).
fof(quest_3,axiom,
p_Full(t_139),
file('theBenchmark.p',quest_3) ).
cnf(c_469,plain,
p_Full(t_139),
inference(clausify,[status(thm)],[quest_3]) ).
fof(quest_1,axiom,
~ p_Rd(t_139),
file('theBenchmark.p',quest_1) ).
cnf(c_470,plain,
~ p_Rd(t_139),
inference(clausify,[status(thm)],[quest_1]) ).
fof(axiom_23,axiom,
! [VAR_0] :
( ~ p_Full(VAR_0)
| int_level(VAR_0) = fifo_length ),
file('theBenchmark.p',axiom_23) ).
cnf(c_478,plain,
( ~ p_Full(A)
| int_level(A) = fifo_length ),
inference(clausify,[status(thm)],[axiom_23]) ).
fof(axiom_22,axiom,
! [VAR_0] :
( p_Full(VAR_0)
| int_level(VAR_0) != fifo_length ),
file('theBenchmark.p',axiom_22) ).
cnf(c_479,plain,
( p_Full(A)
| int_level(A) != fifo_length ),
inference(clausify,[status(thm)],[axiom_22]) ).
fof(axiom_17,axiom,
! [VAR_0] : ~ gt(VAR_0,VAR_0),
file('theBenchmark.p',axiom_17) ).
cnf(c_485,plain,
~ gt(A,A),
inference(clausify,[status(thm)],[axiom_17]) ).
cnf(c_732,plain,
( p_Wr_error(plus(t_139,n1))
| gt(fifo_length,int_level(t_139))
| p_Rd(t_139) ),
inference(resolve,[status(thm)],[c_468,c_72]) ).
cnf(c_516,plain,
( p_Wr_error(plus(t_139,n1))
| gt(fifo_length,int_level(t_139)) ),
inference(resolve,[status(thm)],[c_470,c_732]) ).
cnf(c_540,plain,
int_level(t_139) = fifo_length,
inference(resolve,[status(thm)],[c_478,c_469]) ).
cnf(c_733,plain,
( p_Wr_error(plus(t_139,n1))
| gt(fifo_length,fifo_length) ),
inference(paramod,[status(thm)],[c_540,c_516]) ).
cnf(c_541,plain,
p_Wr_error(plus(t_139,n1)),
inference(resolve,[status(thm)],[c_485,c_733]) ).
cnf(c_542,plain,
~ p_Full(plus(t_139,n1)),
inference(resolve,[status(thm)],[c_541,c_467]) ).
cnf(c_734,plain,
( gt(fifo_length,fifo_length)
| int_level(plus(t_139,n1)) = int_level(t_139)
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(paramod,[status(thm)],[c_540,c_220]) ).
cnf(c_735,plain,
( gt(fifo_length,fifo_length)
| int_level(plus(t_139,n1)) = fifo_length
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(paramod,[status(thm)],[c_540,c_734]) ).
cnf(c_736,plain,
( gt(fifo_length,fifo_length)
| int_level(plus(t_139,n1)) = fifo_length
| p_Rd(t_139) ),
inference(resolve,[status(thm)],[c_468,c_735]) ).
cnf(c_737,plain,
( gt(fifo_length,fifo_length)
| int_level(plus(t_139,n1)) = fifo_length ),
inference(resolve,[status(thm)],[c_470,c_736]) ).
cnf(c_708,plain,
int_level(plus(t_139,n1)) = fifo_length,
inference(resolve,[status(thm)],[c_485,c_737]) ).
cnf(c_738,plain,
p_Full(plus(t_139,n1)),
inference(resolve,[status(thm)],[c_708,c_479]) ).
cnf(c_729,plain,
$false,
inference(resolve,[status(thm)],[c_542,c_738]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : HWV018-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Fri Sep 25 16:01:05 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.03/0.30 % Process 2496753 was started by sandbox on n012,
% 0.03/0.30 % Fri Sep 25 16:01:05 2026
% 0.03/0.30 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.03/0.30
% 0.03/0.30 % From the command line: assign(max_seconds, 300).
% 0.29/0.41
% 0.29/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.29/0.41
% 0.29/0.41 % Proof 1 at 0.09 (+ 0.01) seconds.
% 0.29/0.41 % Length of proof is 20.
% 0.29/0.41 % Level of proof is 5.
% 0.29/0.41 % Maximum clause weight is 15.000.
% 0.29/0.41 % Given clauses 149.
% 0.29/0.41
% 0.29/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------