%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWV012-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 01:39:57 PM UTC 2026
% Result : Unsatisfiable 3.38s 11.32s
% Output : CNFRefutation 3.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 16 unt; 4 def)
% Number of atoms : 65 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 56 ( 30 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_5) ).
fof(f18,axiom,
! [X0] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_13) ).
fof(f28,axiom,
! [X0] :
( 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))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_22) ).
fof(f50,axiom,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_41) ).
fof(f152,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f153,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f154,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f155,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(definition_unfolding,[],[f152,f5]) ).
tcf(c_195,plain,
! [X0: $i] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_204,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_223,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_317,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(cnf_transformation,[],[f155]) ).
tcf(c_318,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[],[f153]) ).
tcf(c_319,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[],[f154]) ).
tcf(c_432,plain,
! [X0: $i] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_223,c_195,c_223]) ).
tcf(c_433,plain,
! [X0: $i] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
inference(renaming,[status(thm)],[c_432]) ).
tcf(c_453,plain,
! [X0: $i] :
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
inference(global_subsumption_just,[status(thm)],[c_204,c_195,c_204,c_433]) ).
tcf(c_3658,definition,
iPr_def_10 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3659,definition,
iPr_def_11 = f_ADD_(t_206,n1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_3660,definition,
iPr_def_12 = fwork_DOTfifo_DOTrtl_DOTwr__error_(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_3661,definition,
iPr_def_13 = fwork_DOTfifo_DOTrtl_DOTwr_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_3662,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,iPr_def_10),
inference(demodulation,[status(thm)],[c_317,c_3658]) ).
tcf(c_3663,negated_conjecture,
p__pred_(iPr_def_12),
inference(demodulation,[status(thm)],[c_319,c_3659,c_3660]) ).
tcf(c_3664,negated_conjecture,
p__pred_(iPr_def_13),
inference(demodulation,[status(thm)],[c_318,c_3661]) ).
tcf(c_6375,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(iPr_def_11))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(superposition,[status(thm)],[c_3659,c_453]) ).
tcf(c_6383,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,iPr_def_10)
| ~ p__pred_(iPr_def_13)
| ~ p__pred_(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_6375,c_3658,c_3660,c_3661]) ).
tcf(c_6384,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6383,c_3662,c_3664,c_3663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV012-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/10.40 % Computer : n016.cluster.edu
% 0.11/10.40 % Model : x86_64 x86_64
% 0.11/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.40 % Memory : 8046.5625MB
% 0.11/10.40 % OS : Linux 6.8.0-71-generic
% 0.11/10.40 % CPULimit : 300
% 0.11/10.40 % WCLimit : 300
% 0.11/10.40 % DateTime : Wed Sep 23 16:28:24 UTC 2026
% 0.11/10.40 % CPUTime :
% 0.11/10.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/10.44 Running first-order theorem proving
% 0.11/10.44 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/10.45
% 0.11/10.45 % ======== iProver multi-core TPTP/SMT =========
% 0.11/10.45
% 0.11/10.46 % Detected problem language: tptp
% 0.11/10.47 % Proving...
% 3.38/11.32 % SZS status Started for theBenchmark.p
% 3.38/11.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.38/11.32
% 3.38/11.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.38/11.32
% 3.38/11.32 % ------ iProver source info
% 3.38/11.32
% 3.38/11.32 % git: date: 2026-07-19 20:42:38 +0200
% 3.38/11.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.38/11.32 % git: non_committed_changes: false
% 3.38/11.32
% 3.38/11.32 % ------ Parsing...% successful
% 3.38/11.32
% 3.38/11.32
% 3.38/11.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.38/11.32
% 3.38/11.32 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.38/11.32
% 3.38/11.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.38/11.32
% 3.38/11.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.38/11.32 % ------ Proving...
% 3.38/11.32 % ------ Problem Properties
% 3.38/11.32
% 3.38/11.32 %
% 3.38/11.32 % clauses 126
% 3.38/11.32 % conjectures 3
% 3.38/11.32 % EPR 12
% 3.38/11.32 % Horn 78
% 3.38/11.32 % unary 33
% 3.38/11.32 % binary 40
% 3.38/11.32 % lits 322
% 3.38/11.32 % lits eq 68
% 3.38/11.32 % fd_pure 0
% 3.38/11.32 % fd_pseudo 0
% 3.38/11.32 % fd_cond 1
% 3.38/11.32 % fd_pseudo_cond 6
% 3.38/11.32 % AC symbols 0
% 3.38/11.32
% 3.38/11.32 % ------ Schedule dynamic 5 is on
% 3.38/11.32
% 3.38/11.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.38/11.32
% 3.38/11.32
% 3.38/11.32 % ------
% 3.38/11.32 % Current options:
% 3.38/11.32 % ------
% 3.38/11.32
% 3.38/11.32
% 3.38/11.32 %
% 3.38/11.32
% 3.38/11.32 % ------ Proving...
% 3.38/11.32 %
% 3.38/11.32
% 3.38/11.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.38/11.32
% 3.38/11.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.38/11.32
% 3.38/11.32
%------------------------------------------------------------------------------