%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV021-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n010.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 01:38:06 PM UTC 2026
% Result : Unsatisfiable 40.07s 6.56s
% Output : Proof 40.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% Number of atoms : 107 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 104 ( 40 ~; 64 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f44,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_DOTint__level_(T_13),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
fof(f44_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_DOTint__level_(T_13),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1))) ),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_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_DOTint__level_(T_13),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1))) ),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c44,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_DOTint__level_(X0),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1))) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(f133,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f133_nnf,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
inference(nnf_transformation,[status(thm)],[f133]) ).
cnf(c133,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(esa)],[f133_nnf]) ).
cnf(p391,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
inference(resolution,[status(thm)],[c44,c133]) ).
cnf(f135,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f135_nnf,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(nnf_transformation,[status(thm)],[f135]) ).
cnf(c135,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[status(esa)],[f135_nnf]) ).
cnf(p395,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
inference(resolution,[status(thm)],[p391,c135]) ).
cnf(f71,axiom,
( X_103 = n0
| ~ p_LES_EQU_(X_103,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_73) ).
fof(f71_nnf,plain,
! [X_103] :
( X_103 = n0
| ~ p_LES_EQU_(X_103,n0) ),
inference(nnf_transformation,[status(thm)],[f71]) ).
fof(f71_sk,plain,
! [X_103] :
( X_103 = n0
| ~ p_LES_EQU_(X_103,n0) ),
inference(skolemisation,[status(esa)],[f71_nnf]) ).
cnf(c71,plain,
( X0 = n0
| ~ p_LES_EQU_(X0,n0) ),
inference(cnf_transformation,[status(esa)],[f71_sk]) ).
cnf(p397,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(resolution,[status(thm)],[p395,c71]) ).
cnf(f6,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f6_nnf,plain,
! [T_3] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [T_3] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p400,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(resolution,[status(thm)],[p397,c6]) ).
cnf(f32,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_DOTint__level_(T_13),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f32_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_DOTint__level_(T_13),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1))) ),
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_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_DOTint__level_(T_13),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_13,n1))) ),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c32,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_DOTint__level_(X0),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1))) ),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p298,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
inference(resolution,[status(thm)],[c32,c133]) ).
cnf(p302,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
inference(resolution,[status(thm)],[p298,c135]) ).
cnf(p408,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(resolution,[status(thm)],[p400,p302]) ).
cnf(p421,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(factoring,[status(thm)],[p408]) ).
cnf(p423,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(resolution,[status(thm)],[p421,c71]) ).
cnf(p447,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(resolution,[status(thm)],[p423,c6]) ).
cnf(p450,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(factoring,[status(thm)],[p447]) ).
cnf(f134,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f134_nnf,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(nnf_transformation,[status(thm)],[f134]) ).
fof(f134_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(skolemisation,[status(esa)],[f134_nnf]) ).
cnf(c134,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[status(esa)],[f134_sk]) ).
cnf(p451,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(resolution,[status(thm)],[p450,c134]) ).
cnf(f136,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f136_nnf,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(nnf_transformation,[status(thm)],[f136]) ).
fof(f136_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(skolemisation,[status(esa)],[f136_nnf]) ).
cnf(c136,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(cnf_transformation,[status(esa)],[f136_sk]) ).
cnf(p452,plain,
$false,
inference(resolution,[status(thm)],[p451,c136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV021-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 16:27:18 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 40.07/6.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.07/6.56 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------