%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWV013-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 3.74s 6.30s
% Output : CNFRefutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of formulae : 30 ( 26 unt; 7 def)
% Number of atoms : 68 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 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 : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_5) ).
fof(f23,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))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_18) ).
fof(f152,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f153,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f154,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f155,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f156,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
fof(f157,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(definition_unfolding,[],[f155,f5]) ).
fof(f158,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),
inference(definition_unfolding,[],[f156,f5,f5]) ).
tcf(c_202,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))
| ( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0)) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_319,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[],[f152]) ).
tcf(c_320,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[],[f153]) ).
tcf(c_321,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[],[f154]) ).
tcf(c_322,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(cnf_transformation,[],[f157]) ).
tcf(c_323,negated_conjecture,
f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) != fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(cnf_transformation,[],[f158]) ).
tcf(c_3678,definition,
iPr_def_10 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3679,definition,
iPr_def_11 = f_ADD_(iPr_def_10,n1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_3680,definition,
iPr_def_12 = f_ADD_(t_206,n1),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_3681,definition,
iPr_def_13 = fwork_DOTfifo_DOTrtl_DOTint__level_(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_3682,definition,
iPr_def_14 = fwork_DOTfifo_DOTrtl_DOTwr_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_3683,definition,
iPr_def_15 = fwork_DOTfifo_DOTrtl_DOTrd_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_3684,definition,
iPr_def_16 = fwork_DOTfifo_DOTrtl_DOTreset_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_3685,negated_conjecture,
iPr_def_11 != iPr_def_13,
inference(demodulation,[status(thm)],[c_323,c_3680,c_3681,c_3678,c_3679]) ).
tcf(c_3686,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,iPr_def_10),
inference(demodulation,[status(thm)],[c_322]) ).
tcf(c_3687,negated_conjecture,
p__pred_(iPr_def_14),
inference(demodulation,[status(thm)],[c_321,c_3682]) ).
tcf(c_3688,negated_conjecture,
~ p__pred_(iPr_def_15),
inference(demodulation,[status(thm)],[c_320,c_3683]) ).
tcf(c_3689,negated_conjecture,
~ p__pred_(iPr_def_16),
inference(demodulation,[status(thm)],[c_319,c_3684]) ).
tcf(c_15497,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,iPr_def_10)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(superposition,[status(thm)],[c_3678,c_202]) ).
tcf(c_15512,plain,
( p__pred_(iPr_def_16)
| p__pred_(iPr_def_15)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,iPr_def_10)
| ( iPr_def_11 = iPr_def_13 )
| ~ p__pred_(iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_15497,c_3678,c_3679,c_3680,c_3681,c_3682,c_3683,c_3684]) ).
tcf(c_15513,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_15512,c_3689,c_3688,c_3686,c_3685,c_3687]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV013-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.38 % Computer : n014.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Wed Sep 23 16:23:54 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.42 Running first-order theorem proving
% 0.16/5.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.44
% 0.16/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.44
% 0.16/5.44 % Detected problem language: tptp
% 0.16/5.45 % Proving...
% 3.74/6.30 % SZS status Started for theBenchmark.p
% 3.74/6.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.74/6.30
% 3.74/6.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.74/6.30
% 3.74/6.30 % ------ iProver source info
% 3.74/6.30
% 3.74/6.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.74/6.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.74/6.30 % git: non_committed_changes: false
% 3.74/6.30
% 3.74/6.30 % ------ Parsing...% successful
% 3.74/6.30
% 3.74/6.30
% 3.74/6.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.74/6.30
% 3.74/6.30 % ------ 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 %
% 3.74/6.30
% 3.74/6.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.74/6.30
% 3.74/6.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.74/6.30 % ------ Proving...
% 3.74/6.30 % ------ Problem Properties
% 3.74/6.30
% 3.74/6.30 %
% 3.74/6.30 % clauses 131
% 3.74/6.30 % conjectures 5
% 3.74/6.30 % EPR 14
% 3.74/6.30 % Horn 83
% 3.74/6.30 % unary 38
% 3.74/6.30 % binary 40
% 3.74/6.30 % lits 327
% 3.74/6.30 % lits eq 72
% 3.74/6.30 % fd_pure 0
% 3.74/6.30 % fd_pseudo 0
% 3.74/6.30 % fd_cond 1
% 3.74/6.30 % fd_pseudo_cond 6
% 3.74/6.30 % AC symbols 0
% 3.74/6.30
% 3.74/6.30 % ------ Schedule dynamic 5 is on
% 3.74/6.30
% 3.74/6.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.74/6.30
% 3.74/6.30
% 3.74/6.30 % ------
% 3.74/6.30 % Current options:
% 3.74/6.30 % ------
% 3.74/6.30
% 3.74/6.30
% 3.74/6.30 %
% 3.74/6.30
% 3.74/6.30 % ------ Proving...
% 3.74/6.30 %
% 3.74/6.30
% 3.74/6.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.74/6.30
% 3.74/6.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.74/6.30
% 3.74/6.30
%------------------------------------------------------------------------------