%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV019-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n008.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 : Fri Sep 25 01:38:00 PM UTC 2026
% Result : Unsatisfiable 23.55s 3.91s
% Output : Proof 23.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 16 unt; 0 def)
% Number of atoms : 85 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 87 ( 38 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f50,axiom,
( ~ p_Wr_error(plus(X_t_42,n1))
| ~ p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
fof(f50_nnf,plain,
! [X_t_42] :
( ~ p_Wr_error(plus(X_t_42,n1))
| ~ p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
inference(nnf_transformation,[status(thm)],[f50]) ).
fof(f50_sk,plain,
! [X_t_42] :
( ~ p_Wr_error(plus(X_t_42,n1))
| ~ p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
inference(skolemisation,[status(esa)],[f50_nnf]) ).
cnf(c50,plain,
( ~ p_Wr_error(plus(X0,n1))
| ~ p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(esa)],[f50_sk]) ).
cnf(f91,negated_conjecture,
p_Wr(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f91_nnf,plain,
p_Wr(t_139),
inference(nnf_transformation,[status(thm)],[f91]) ).
cnf(c91,plain,
p_Wr(t_139),
inference(cnf_transformation,[status(esa)],[f91_nnf]) ).
cnf(p685,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[c50,c91]) ).
cnf(f20,axiom,
level(X_t_32) = int_level(X_t_32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f20_nnf,plain,
! [X_t_32] : level(X_t_32) = int_level(X_t_32),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X_t_32] : level(X_t_32) = int_level(X_t_32),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
level(X0) = int_level(X0),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(f33,axiom,
( ~ p_Wr_error(plus(X_t_42,n1))
| ~ gt(fifo_length,int_level(X_t_42))
| p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f33_nnf,plain,
! [X_t_42] :
( ~ p_Wr_error(plus(X_t_42,n1))
| ~ gt(fifo_length,int_level(X_t_42))
| p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
! [X_t_42] :
( ~ p_Wr_error(plus(X_t_42,n1))
| ~ gt(fifo_length,int_level(X_t_42))
| p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c33,plain,
( ~ p_Wr_error(plus(X0,n1))
| ~ gt(fifo_length,int_level(X0))
| p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(p438,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ gt(fifo_length,int_level(t_139))
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[c33,c91]) ).
cnf(p439,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ gt(fifo_length,level(t_139))
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(superposition,[status(thm)],[c20,p438]) ).
cnf(f93,negated_conjecture,
( p_Rd(t_139)
| gt(fifo_length,level(t_139)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f93_nnf,plain,
( p_Rd(t_139)
| gt(fifo_length,level(t_139)) ),
inference(nnf_transformation,[status(thm)],[f93]) ).
fof(f93_sk,plain,
( p_Rd(t_139)
| gt(fifo_length,level(t_139)) ),
inference(skolemisation,[status(esa)],[f93_nnf]) ).
cnf(c93,plain,
( p_Rd(t_139)
| gt(fifo_length,level(t_139)) ),
inference(cnf_transformation,[status(esa)],[f93_sk]) ).
cnf(p442,plain,
( p_Rd(t_139)
| ~ p_Wr_error(plus(t_139,n1))
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[p439,c93]) ).
cnf(p445,plain,
( ~ p_Wr_error(plus(t_139,n1))
| p_Rd(t_139)
| p_Reset(t_139) ),
inference(factoring,[status(thm)],[p442]) ).
cnf(f90,negated_conjecture,
p_Wr_error(plus(t_139,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f90_nnf,plain,
p_Wr_error(plus(t_139,n1)),
inference(nnf_transformation,[status(thm)],[f90]) ).
cnf(c90,plain,
p_Wr_error(plus(t_139,n1)),
inference(cnf_transformation,[status(esa)],[f90_nnf]) ).
cnf(p446,plain,
( p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[p445,c90]) ).
cnf(p686,plain,
( p_Reset(t_139)
| ~ p_Wr_error(plus(t_139,n1))
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[p685,p446]) ).
cnf(p687,plain,
( ~ p_Wr_error(plus(t_139,n1))
| p_Reset(t_139) ),
inference(factoring,[status(thm)],[p686]) ).
cnf(p688,plain,
p_Reset(t_139),
inference(resolution,[status(thm)],[p687,c90]) ).
cnf(f92,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f92_nnf,plain,
~ p_Reset(t_139),
inference(nnf_transformation,[status(thm)],[f92]) ).
fof(f92_sk,plain,
~ p_Reset(t_139),
inference(skolemisation,[status(esa)],[f92_nnf]) ).
cnf(c92,plain,
~ p_Reset(t_139),
inference(cnf_transformation,[status(esa)],[f92_sk]) ).
cnf(p689,plain,
$false,
inference(resolution,[status(thm)],[p688,c92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : HWV019-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.44 % Computer : n008.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Wed Sep 23 16:26:39 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 23.55/3.91 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.55/3.91 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------