%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : HWV011-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/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 07:34:18 AM UTC 2026
% Result : Unsatisfiable 0.07s 5.60s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 13 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 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 : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quest_2,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)),
file('theBenchmark.p',quest_2) ).
cnf(c_9,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)),
inference(clausify,[status(thm)],[quest_2]) ).
fof(quest_1,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
file('theBenchmark.p',quest_1) ).
cnf(c_10,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(clausify,[status(thm)],[quest_1]) ).
fof(axiom_7,axiom,
! [VAR_0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(VAR_0) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(VAR_0)) ),
file('theBenchmark.p',axiom_7) ).
cnf(c_181,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(A) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(A)) ),
inference(clausify,[status(thm)],[axiom_7]) ).
fof(axiom_5,axiom,
! [VAR_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(VAR_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(VAR_0),
file('theBenchmark.p',axiom_5) ).
cnf(c_183,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(A) = fwork_DOTfifo_DOTrtl_DOTint__level_(A),
inference(clausify,[status(thm)],[axiom_5]) ).
cnf(c_214,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(paramod,[status(thm)],[c_183,c_10]) ).
cnf(c_768,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(resolve,[status(thm)],[c_181,c_9]) ).
cnf(c_767,plain,
$false,
inference(resolve,[status(thm)],[c_214,c_768]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : HWV011-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/5.52 % Computer : n012.cluster.edu
% 0.03/5.52 % Model : x86_64 x86_64
% 0.03/5.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.52 % Memory : 8046.5625MB
% 0.03/5.52 % OS : Linux 6.8.0-71-generic
% 0.03/5.52 % CPULimit : 300
% 0.03/5.52 % WCLimit : 300
% 0.03/5.52 % DateTime : Fri Sep 25 16:00:44 UTC 2026
% 0.03/5.52 % CPUTime :
% 0.03/5.52 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.03/5.52 % Process 2495723 was started by sandbox2 on n012,
% 0.03/5.52 % Fri Sep 25 16:00:44 2026
% 0.03/5.52 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.03/5.53
% 0.03/5.53 % From the command line: assign(max_seconds, 300).
% 0.07/5.60
% 0.07/5.60 % SZS status Unsatisfiable for theBenchmark
% 0.07/5.60
% 0.07/5.60 % Proof 1 at 0.05 (+ 0.01) seconds.
% 0.07/5.60 % Length of proof is 6.
% 0.07/5.60 % Level of proof is 2.
% 0.07/5.60 % Maximum clause weight is 7.000.
% 0.07/5.60 % Given clauses 126.
% 0.07/5.60
% 0.07/5.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------