%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV016-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : 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 01:37:56 PM UTC 2026
% Result : Unsatisfiable 36.27s 5.12s
% Output : Proof 36.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 14
% Syntax : Number of formulae : 86 ( 33 unt; 0 def)
% Number of atoms : 226 ( 65 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 212 ( 72 ~; 140 |; 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 : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 2 sgn 22 !; 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(f29,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)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
fof(f29_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)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_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)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,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)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(f21,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)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
fof(f21_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)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_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)) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_13) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,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)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
inference(cnf_transformation,[status(esa)],[f21_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(p209,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))
| n0 = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
inference(resolution,[status(thm)],[c16,c135]) ).
cnf(f57,axiom,
f_ADD_(X_80,n1) != n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
fof(f57_nnf,plain,
! [X_80] : f_ADD_(X_80,n1) != n0,
inference(nnf_transformation,[status(thm)],[f57]) ).
fof(f57_sk,plain,
! [X_80] : f_ADD_(X_80,n1) != n0,
inference(skolemisation,[status(esa)],[f57_nnf]) ).
cnf(c57,plain,
f_ADD_(X0,n1) != n0,
inference(cnf_transformation,[status(esa)],[f57_sk]) ).
cnf(p216,plain,
( n0 != n0
| 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)],[p209,c57]) ).
cnf(p223,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(equality_resolution,[status(thm)],[p216]) ).
cnf(p249,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(resolution,[status(thm)],[c21,p223]) ).
cnf(p250,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(factoring,[status(thm)],[p249]) ).
cnf(p252,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))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(factoring,[status(thm)],[p250]) ).
cnf(p253,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(resolution,[status(thm)],[p252,c135]) ).
cnf(p260,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_,n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(superposition,[status(thm)],[p253,p223]) ).
cnf(p284,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(factoring,[status(thm)],[p260]) ).
cnf(p286,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(factoring,[status(thm)],[p284]) ).
cnf(f137,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
fof(f137_nnf,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(nnf_transformation,[status(thm)],[f137]) ).
fof(f137_sk,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(skolemisation,[status(esa)],[f137_nnf]) ).
cnf(c137,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(cnf_transformation,[status(esa)],[f137_sk]) ).
cnf(p287,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(resolution,[status(thm)],[p286,c137]) ).
cnf(p301,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| 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)
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(resolution,[status(thm)],[c29,p287]) ).
cnf(p307,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)
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(factoring,[status(thm)],[p301]) ).
cnf(p308,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(resolution,[status(thm)],[p307,c135]) ).
cnf(p309,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0)
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(superposition,[status(thm)],[c3,p308]) ).
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(p311,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(resolution,[status(thm)],[p309,c71]) ).
cnf(p329,plain,
( n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(superposition,[status(thm)],[p311,c3]) ).
cnf(p335,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
inference(factoring,[status(thm)],[p329]) ).
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(p339,plain,
( n0 != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(superposition,[status(thm)],[p335,c6]) ).
cnf(p350,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(equality_resolution,[status(thm)],[p339]) ).
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(p351,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(resolution,[status(thm)],[p350,c134]) ).
cnf(f7,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_4) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f7_nnf,plain,
! [T_4] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_4) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_4)) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [T_4] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_4) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_4)) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p355,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0,
inference(resolution,[status(thm)],[p351,c7]) ).
cnf(f34,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_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(f34_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_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1) ),
inference(nnf_transformation,[status(thm)],[f34]) ).
fof(f34_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_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1) ),
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c34,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_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) ),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
cnf(p362,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_(n0,n0)
| n0 = n1 ),
inference(superposition,[status(thm)],[p355,c34]) ).
cnf(f73,axiom,
p_LES_EQU_(X_106,X_106),
file('/export/starexec/sandbox2/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(p392,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))
| n0 = n1 ),
inference(resolution,[status(thm)],[p362,c73]) ).
cnf(p393,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| n0 = n1 ),
inference(resolution,[status(thm)],[p392,p287]) ).
cnf(p394,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| n0 = n1 ),
inference(factoring,[status(thm)],[p393]) ).
cnf(p395,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| n0 = n1 ),
inference(resolution,[status(thm)],[p394,c135]) ).
cnf(p396,plain,
n0 = n1,
inference(resolution,[status(thm)],[p395,c134]) ).
cnf(f75,axiom,
f_ADD_(n0,X_109) = X_109,
file('/export/starexec/sandbox2/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(p146,plain,
n1 != n0,
inference(superposition,[status(thm)],[c75,c57]) ).
cnf(p445,plain,
n1 != n1,
inference(demodulation,[status(thm)],[p396,p146]) ).
cnf(p486,plain,
$false,
inference(equality_resolution,[status(thm)],[p445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV016-2 : 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 16:22:37 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 36.27/5.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 36.27/5.12 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------