%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV011-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n007.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 01:37:45 PM UTC 2026
% Result : Unsatisfiable 21.36s 3.50s
% Output : Proof 21.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 49 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 20 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f22,axiom,
( ~ p_Full(X_t_34)
| int_level(X_t_34) = fifo_length ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
fof(f22_nnf,plain,
! [X_t_34] :
( ~ p_Full(X_t_34)
| int_level(X_t_34) = fifo_length ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X_t_34] :
( ~ p_Full(X_t_34)
| int_level(X_t_34) = fifo_length ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( ~ p_Full(X0)
| int_level(X0) = fifo_length ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(f91,negated_conjecture,
( level(t_139) = fifo_length
| p_Full(t_139) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f91_nnf,plain,
( level(t_139) = fifo_length
| p_Full(t_139) ),
inference(nnf_transformation,[status(thm)],[f91]) ).
fof(f91_sk,plain,
( level(t_139) = fifo_length
| p_Full(t_139) ),
inference(skolemisation,[status(esa)],[f91_nnf]) ).
cnf(c91,plain,
( level(t_139) = fifo_length
| p_Full(t_139) ),
inference(cnf_transformation,[status(esa)],[f91_sk]) ).
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(p96,plain,
( fifo_length = int_level(t_139)
| p_Full(t_139) ),
inference(superposition,[status(thm)],[c91,c20]) ).
cnf(f21,axiom,
( p_Full(X_t_33)
| int_level(X_t_33) != fifo_length ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(f21_nnf,plain,
! [X_t_33] :
( p_Full(X_t_33)
| int_level(X_t_33) != fifo_length ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X_t_33] :
( p_Full(X_t_33)
| int_level(X_t_33) != fifo_length ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( p_Full(X0)
| int_level(X0) != fifo_length ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p105,plain,
( p_Full(t_139)
| fifo_length != fifo_length
| p_Full(t_139) ),
inference(superposition,[status(thm)],[p96,c21]) ).
cnf(p106,plain,
( fifo_length != fifo_length
| p_Full(t_139) ),
inference(factoring,[status(thm)],[p105]) ).
cnf(p107,plain,
p_Full(t_139),
inference(equality_resolution,[status(thm)],[p106]) ).
cnf(p114,plain,
int_level(t_139) = fifo_length,
inference(resolution,[status(thm)],[c22,p107]) ).
cnf(p115,plain,
level(t_139) = fifo_length,
inference(superposition,[status(thm)],[p114,c20]) ).
cnf(f90,negated_conjecture,
( level(t_139) != fifo_length
| ~ p_Full(t_139) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f90_nnf,plain,
( level(t_139) != fifo_length
| ~ p_Full(t_139) ),
inference(nnf_transformation,[status(thm)],[f90]) ).
fof(f90_sk,plain,
( level(t_139) != fifo_length
| ~ p_Full(t_139) ),
inference(skolemisation,[status(esa)],[f90_nnf]) ).
cnf(c90,plain,
( level(t_139) != fifo_length
| ~ p_Full(t_139) ),
inference(cnf_transformation,[status(esa)],[f90_sk]) ).
cnf(p108,plain,
level(t_139) != fifo_length,
inference(resolution,[status(thm)],[p107,c90]) ).
cnf(p116,plain,
fifo_length != fifo_length,
inference(demodulation,[status(thm)],[p115,p108]) ).
cnf(p119,plain,
$false,
inference(equality_resolution,[status(thm)],[p116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV011-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 16:20:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 21.36/3.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.36/3.50 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------