%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV023-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.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 01:38:09 PM UTC 2026
% Result : Unsatisfiable 37.56s 5.28s
% Output : Proof 37.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 73 ( 35 unt; 0 def)
% Number of atoms : 160 ( 38 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 135 ( 48 ~; 87 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 2 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f3,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
file('/export/starexec/sandbox/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(f75,axiom,
f_ADD_(n0,X_109) = X_109,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).
fof(f75_nnf,plain,
! [X_109] : f_ADD_(n0,X_109) = X_109,
inference(nnf_transformation,[status(thm)],[f75]) ).
fof(f75_sk,plain,
! [X_109] : f_ADD_(n0,X_109) = X_109,
inference(skolemisation,[status(esa)],[f75_nnf]) ).
cnf(c75,plain,
f_ADD_(n0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f75_sk]) ).
cnf(f60,axiom,
( f_SUB_(X_83,Y_84) != Z_85
| f_ADD_(Z_85,Y_84) = X_83
| def_89(Y_84,X_83) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
fof(f60_nnf,plain,
! [Y_84,X_83,Z_85] :
( f_SUB_(X_83,Y_84) != Z_85
| f_ADD_(Z_85,Y_84) = X_83
| def_89(Y_84,X_83) ),
inference(nnf_transformation,[status(thm)],[f60]) ).
fof(f60_sk,plain,
! [Y_84,X_83,Z_85] :
( f_SUB_(X_83,Y_84) != Z_85
| f_ADD_(Z_85,Y_84) = X_83
| def_89(Y_84,X_83) ),
inference(skolemisation,[status(esa)],[f60_nnf]) ).
cnf(c60,plain,
( f_SUB_(X1,X0) != X2
| f_ADD_(X2,X0) = X1
| def_89(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f60_sk]) ).
cnf(f41,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)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
fof(f41_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)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1) ),
inference(nnf_transformation,[status(thm)],[f41]) ).
fof(f41_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)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1) ),
inference(skolemisation,[status(esa)],[f41_nnf]) ).
cnf(c41,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)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) ),
inference(cnf_transformation,[status(esa)],[f41_sk]) ).
cnf(f134,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f134_nnf,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(nnf_transformation,[status(thm)],[f134]) ).
cnf(c134,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[status(esa)],[f134_nnf]) ).
cnf(p353,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)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(resolution,[status(thm)],[c41,c134]) ).
cnf(p355,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)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(n1,n1) ),
inference(superposition,[status(thm)],[c3,p353]) ).
cnf(p366,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = f_SUB_(n1,n1)
| 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(superposition,[status(thm)],[p355,c3]) ).
cnf(p379,plain,
( f_SUB_(n1,n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
| 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(superposition,[status(thm)],[p366,c3]) ).
cnf(p501,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)
| f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),n1) = n1
| def_89(n1,n1) ),
inference(resolution,[status(thm)],[c60,p379]) ).
cnf(f64,axiom,
( p_LES_EQU_(Y_91,X_90)
| ~ p_LES_EQU_(f_ADD_(Y_91,n1),f_ADD_(X_90,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_66) ).
fof(f64_nnf,plain,
! [Y_91,X_90] :
( p_LES_EQU_(Y_91,X_90)
| ~ p_LES_EQU_(f_ADD_(Y_91,n1),f_ADD_(X_90,n1)) ),
inference(nnf_transformation,[status(thm)],[f64]) ).
fof(f64_sk,plain,
! [Y_91,X_90] :
( p_LES_EQU_(Y_91,X_90)
| ~ p_LES_EQU_(f_ADD_(Y_91,n1),f_ADD_(X_90,n1)) ),
inference(skolemisation,[status(esa)],[f64_nnf]) ).
cnf(c64,plain,
( p_LES_EQU_(X0,X1)
| ~ p_LES_EQU_(f_ADD_(X0,n1),f_ADD_(X1,n1)) ),
inference(cnf_transformation,[status(esa)],[f64_sk]) ).
cnf(p594,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),X0)
| ~ p_LES_EQU_(n1,f_ADD_(X0,n1))
| 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)
| def_89(n1,n1) ),
inference(superposition,[status(thm)],[p501,c64]) ).
cnf(p716,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),n0)
| ~ p_LES_EQU_(n1,n1)
| 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)
| def_89(n1,n1) ),
inference(superposition,[status(thm)],[c75,p594]) ).
cnf(f73,axiom,
p_LES_EQU_(X_106,X_106),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).
fof(f73_nnf,plain,
! [X_106] : p_LES_EQU_(X_106,X_106),
inference(nnf_transformation,[status(thm)],[f73]) ).
fof(f73_sk,plain,
! [X_106] : p_LES_EQU_(X_106,X_106),
inference(skolemisation,[status(esa)],[f73_nnf]) ).
cnf(c73,plain,
p_LES_EQU_(X0,X0),
inference(cnf_transformation,[status(esa)],[f73_sk]) ).
cnf(p723,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),n0)
| 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)
| def_89(n1,n1) ),
inference(resolution,[status(thm)],[p716,c73]) ).
cnf(f71,axiom,
( X_103 = n0
| ~ p_LES_EQU_(X_103,n0) ),
file('/export/starexec/sandbox/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(p748,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = n0
| 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)
| def_89(n1,n1) ),
inference(resolution,[status(thm)],[p723,c71]) ).
cnf(f6,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) ),
file('/export/starexec/sandbox/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(p765,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1)))
| 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)
| def_89(n1,n1) ),
inference(resolution,[status(thm)],[p748,c6]) ).
cnf(f137,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
fof(f137_nnf,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
inference(nnf_transformation,[status(thm)],[f137]) ).
fof(f137_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
inference(skolemisation,[status(esa)],[f137_nnf]) ).
cnf(c137,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(esa)],[f137_sk]) ).
cnf(p779,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)
| def_89(n1,n1) ),
inference(resolution,[status(thm)],[p765,c137]) ).
cnf(p803,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p_LES_EQU_(n1,n0)
| def_89(n1,n1) ),
inference(superposition,[status(thm)],[c3,p779]) ).
cnf(f62,axiom,
( ~ def_89(Y_84,X_83)
| X_83 != Y_84 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f62_nnf,plain,
! [X_83,Y_84] :
( ~ def_89(Y_84,X_83)
| X_83 != Y_84 ),
inference(nnf_transformation,[status(thm)],[f62]) ).
fof(f62_sk,plain,
! [X_83,Y_84] :
( ~ def_89(Y_84,X_83)
| X_83 != Y_84 ),
inference(skolemisation,[status(esa)],[f62_nnf]) ).
cnf(c62,plain,
( ~ def_89(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f62_sk]) ).
cnf(p155,plain,
~ def_89(X0,X0),
inference(equality_resolution,[status(thm)],[c62]) ).
cnf(p811,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p_LES_EQU_(n1,n0) ),
inference(resolution,[status(thm)],[p803,p155]) ).
cnf(f58,axiom,
~ p_LES_EQU_(f_ADD_(X_81,n1),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
fof(f58_nnf,plain,
! [X_81] : ~ p_LES_EQU_(f_ADD_(X_81,n1),n0),
inference(nnf_transformation,[status(thm)],[f58]) ).
fof(f58_sk,plain,
! [X_81] : ~ p_LES_EQU_(f_ADD_(X_81,n1),n0),
inference(skolemisation,[status(esa)],[f58_nnf]) ).
cnf(c58,plain,
~ p_LES_EQU_(f_ADD_(X0,n1),n0),
inference(cnf_transformation,[status(esa)],[f58_sk]) ).
cnf(p148,plain,
~ p_LES_EQU_(n1,n0),
inference(superposition,[status(thm)],[c75,c58]) ).
cnf(p812,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(resolution,[status(thm)],[p811,p148]) ).
cnf(f136,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f136_nnf,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(nnf_transformation,[status(thm)],[f136]) ).
fof(f136_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(skolemisation,[status(esa)],[f136_nnf]) ).
cnf(c136,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[status(esa)],[f136_sk]) ).
cnf(p813,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(resolution,[status(thm)],[p812,c136]) ).
cnf(f135,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f135_nnf,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(nnf_transformation,[status(thm)],[f135]) ).
fof(f135_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(skolemisation,[status(esa)],[f135_nnf]) ).
cnf(c135,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[status(esa)],[f135_sk]) ).
cnf(p841,plain,
$false,
inference(resolution,[status(thm)],[p813,c135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV023-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 16:30:24 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 37.56/5.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.56/5.28 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------