%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV013-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n005.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 01:37:51 PM UTC 2026
% Result : Unsatisfiable 26.95s 4.14s
% Output : Proof 26.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 25 unt; 0 def)
% Number of atoms : 65 ( 15 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 50 ( 20 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f3,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f3_nnf,plain,
! [T_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [T_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(f16,axiom,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f16_nnf,plain,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(T_13))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(f135,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f135_nnf,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(nnf_transformation,[status(thm)],[f135]) ).
cnf(c135,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[status(esa)],[f135_nnf]) ).
cnf(p208,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(resolution,[status(thm)],[c16,c135]) ).
cnf(p209,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
inference(superposition,[status(thm)],[p208,c3]) ).
cnf(p216,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
inference(superposition,[status(thm)],[c3,p209]) ).
cnf(f137,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
fof(f137_nnf,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
inference(nnf_transformation,[status(thm)],[f137]) ).
fof(f137_sk,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
inference(skolemisation,[status(esa)],[f137_nnf]) ).
cnf(c137,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
inference(cnf_transformation,[status(esa)],[f137_sk]) ).
cnf(p228,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
inference(resolution,[status(thm)],[p216,c137]) ).
cnf(p230,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
inference(superposition,[status(thm)],[c3,p228]) ).
cnf(f136,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f136_nnf,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(nnf_transformation,[status(thm)],[f136]) ).
fof(f136_sk,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(skolemisation,[status(esa)],[f136_nnf]) ).
cnf(c136,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(cnf_transformation,[status(esa)],[f136_sk]) ).
cnf(p231,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(resolution,[status(thm)],[p230,c136]) ).
cnf(f134,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f134_nnf,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(nnf_transformation,[status(thm)],[f134]) ).
fof(f134_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(skolemisation,[status(esa)],[f134_nnf]) ).
cnf(c134,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[status(esa)],[f134_sk]) ).
cnf(p232,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(resolution,[status(thm)],[p231,c134]) ).
cnf(f133,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f133_nnf,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(nnf_transformation,[status(thm)],[f133]) ).
fof(f133_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(skolemisation,[status(esa)],[f133_nnf]) ).
cnf(c133,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[status(esa)],[f133_sk]) ).
cnf(p233,plain,
$false,
inference(resolution,[status(thm)],[p232,c133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV013-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.38 % Computer : n005.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 16:23:18 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 26.95/4.14 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.95/4.14 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------