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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : HWV020-2 : 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 : n005.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 01:39:59 PM UTC 2026

% Result   : Unsatisfiable 3.89s 1.28s
% Output   : CNFRefutation 3.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   27 (  14 unt;   0 def)
%            Number of atoms       :   61 (  15 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   53 (  19   ~;  34   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   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  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn  13   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X0] :
      ( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_8) ).

fof(f11,axiom,
    ! [X0] :
      ( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = n0
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_9) ).

fof(f56,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_DOTint__level_(X0),n0)
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_47) ).

fof(f57,plain,
    ! [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_DOTint__level_(X0),n0)
      | fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) ),
    inference(reorient_equations,[],[f56]) ).

fof(f61,axiom,
    ! [X0] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_51) ).

fof(f62,plain,
    ! [X0] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
      | fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) ),
    inference(reorient_equations,[],[f61]) ).

fof(f89,axiom,
    ! [X0] : p_LES_EQU_(X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_75) ).

fof(f153,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).

fof(f154,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).

fof(f155,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).

fof(f156,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).

tcf(c_188,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_189,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_190,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_191,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_192,plain,
    ! [X0: $i] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
      | ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_193,plain,
    ! [X0: $i] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
      | ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) )
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
      | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0) ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_196,plain,
    ! [X0: $i] :
      ( ( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = n0 )
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_197,plain,
    ! [X0: $i] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0))
      | ( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0 ) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_207,plain,
    ! [X0: $i] : p_LES_EQU_(X0,X0),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_232,plain,
    ! [X0: $i] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
      | ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) )
      | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_192,c_193]) ).

tcf(c_1437,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0,
    inference(superposition,[status(thm)],[c_190,c_196]) ).

tcf(c_2006,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) )
    | ~ p_LES_EQU_(n0,n0) ),
    inference(superposition,[status(thm)],[c_1437,c_232]) ).

tcf(c_2007,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = n0 )
    | ~ p_LES_EQU_(n0,n0) ),
    inference(light_normalisation,[status(thm)],[c_2006,c_1437]) ).

tcf(c_2008,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = n0,
    inference(forward_subsumption_resolution,[status(thm)],[c_2007,c_189,c_188,c_207]) ).

tcf(c_2066,plain,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
    inference(superposition,[status(thm)],[c_2008,c_197]) ).

tcf(c_2067,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2066,c_191]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : HWV020-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n005.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Wed Sep 23 16:26:17 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  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
% 0.09/0.41  
% 0.09/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 3.89/1.28  % SZS status Started for theBenchmark.p
% 3.89/1.28  % SZS status Unsatisfiable for theBenchmark.p
% 3.89/1.28  
% 3.89/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.89/1.28  
% 3.89/1.28  % ------  iProver source info
% 3.89/1.28  
% 3.89/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 3.89/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.89/1.28  % git: non_committed_changes: false
% 3.89/1.28  
% 3.89/1.28  % ------ Parsing...% successful
% 3.89/1.28  
% 3.89/1.28  
% 3.89/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.89/1.28  
% 3.89/1.28  % ------ 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 % 
% 3.89/1.28  
% 3.89/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.89/1.28  
% 3.89/1.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.89/1.28  % ------ Proving...
% 3.89/1.28  % ------ Problem Properties 
% 3.89/1.28  
% 3.89/1.28  % 
% 3.89/1.28  % clauses                               26
% 3.89/1.28  % conjectures                           5
% 3.89/1.28  % EPR                                   4
% 3.89/1.28  % Horn                                  18
% 3.89/1.28  % unary                                 9
% 3.89/1.28  % binary                                8
% 3.89/1.28  % lits                                  60
% 3.89/1.28  % lits eq                               16
% 3.89/1.28  % fd_pure                               0
% 3.89/1.28  % fd_pseudo                             0
% 3.89/1.28  % fd_cond                               1
% 3.89/1.28  % fd_pseudo_cond                        4
% 3.89/1.28  % AC symbols                            0
% 3.89/1.28  
% 3.89/1.28  % ------ Schedule dynamic 5 is on 
% 3.89/1.28  
% 3.89/1.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.89/1.28  
% 3.89/1.28  
% 3.89/1.28  % ------ 
% 3.89/1.28  % Current options:
% 3.89/1.28  % ------ 
% 3.89/1.28  
% 3.89/1.28  
% 3.89/1.28  % 
% 3.89/1.28  
% 3.89/1.28  % ------ Proving...
% 3.89/1.28  % 
% 3.89/1.28  
% 3.89/1.28  % SZS status Unsatisfiable for theBenchmark.p
% 3.89/1.28  
% 3.89/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.89/1.28  
% 3.89/1.28  
%------------------------------------------------------------------------------