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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC398-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/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 03:09:37 PM UTC 2026

% Result   : Unsatisfiable 3.96s 11.31s
% Output   : CNFRefutation 3.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   31 (  26 unt;   1 def)
%            Number of atoms       :   52 (   7 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   35 (  20   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn   8   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f151,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).

fof(f202,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f204,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f206,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f208,plain,
    sk4 = app(sk3,sk5),
    inference(reorient_equations,[],[f207]) ).

fof(f212,negated_conjecture,
    ssItem(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f213,negated_conjecture,
    memberP(sk1,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f214,negated_conjecture,
    ~ memberP(sk2,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f218,plain,
    memberP(sk3,sk6),
    inference(definition_unfolding,[],[f213,f205]) ).

fof(f219,plain,
    ~ memberP(sk4,sk6),
    inference(definition_unfolding,[],[f214,f204]) ).

tcf(c_387,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( memberP(app(X0,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_435,negated_conjecture,
    ssList(sk3),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_437,negated_conjecture,
    ssList(sk5),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_438,negated_conjecture,
    app(sk3,sk5) = sk4,
    inference(cnf_transformation,[],[f208]) ).

tcf(c_441,negated_conjecture,
    ssItem(sk6),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_442,negated_conjecture,
    memberP(sk3,sk6),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_443,negated_conjecture,
    ~ memberP(sk4,sk6),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_6560,definition,
    iPr_def_12 = app(sk3,sk5),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_6561,negated_conjecture,
    ~ memberP(sk4,sk6),
    inference(demodulation,[status(thm)],[c_443]) ).

tcf(c_6562,negated_conjecture,
    memberP(sk3,sk6),
    inference(demodulation,[status(thm)],[c_442]) ).

tcf(c_6564,negated_conjecture,
    ssItem(sk6),
    inference(demodulation,[status(thm)],[c_441]) ).

tcf(c_6567,negated_conjecture,
    iPr_def_12 = sk4,
    inference(demodulation,[status(thm)],[c_438,c_6560]) ).

tcf(c_6568,negated_conjecture,
    ssList(sk5),
    inference(demodulation,[status(thm)],[c_437]) ).

tcf(c_6570,negated_conjecture,
    ssList(sk3),
    inference(demodulation,[status(thm)],[c_435]) ).

tcf(c_9104,plain,
    ~ memberP(iPr_def_12,sk6),
    inference(light_normalisation,[status(thm)],[c_6561,c_6567]) ).

tcf(c_13786,plain,
    ! [X0: $i] :
      ( memberP(iPr_def_12,X0)
      | ~ ssList(sk5)
      | ~ ssList(sk3)
      | ~ ssItem(X0)
      | ~ memberP(sk3,X0) ),
    inference(superposition,[status(thm)],[c_6560,c_387]) ).

tcf(c_13829,plain,
    ! [X0: $i] :
      ( memberP(iPr_def_12,X0)
      | ~ ssItem(X0)
      | ~ memberP(sk3,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13786,c_6568,c_6570]) ).

tcf(c_14819,plain,
    ( memberP(iPr_def_12,sk6)
    | ~ ssItem(sk6) ),
    inference(superposition,[status(thm)],[c_6562,c_13829]) ).

tcf(c_14820,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_14819,c_9104,c_6564]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC398-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/10.40  % Computer : n014.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
% 0.03/10.40  % CPULimit : 300
% 0.03/10.40  % WCLimit  : 300
% 0.03/10.40  % DateTime : Thu Sep 24 18:02:14 UTC 2026
% 0.03/10.40  % CPUTime  : 
% 0.03/10.40  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/10.44  Running first-order theorem proving
% 0.03/10.44  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
% 0.03/10.45  
% 0.03/10.45  % ======== iProver multi-core TPTP/SMT =========
% 0.03/10.45  
% 0.03/10.45  % Detected problem language: tptp
% 0.03/10.46  % Proving...
% 3.96/11.31  % SZS status Started for theBenchmark.p
% 3.96/11.31  % SZS status Unsatisfiable for theBenchmark.p
% 3.96/11.31  
% 3.96/11.31  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.96/11.31  
% 3.96/11.31  % ------  iProver source info
% 3.96/11.31  
% 3.96/11.31  % git: date: 2026-07-19 20:42:38 +0200
% 3.96/11.31  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.96/11.31  % git: non_committed_changes: false
% 3.96/11.31  
% 3.96/11.31  % ------ Parsing...% successful
% 3.96/11.31  
% 3.96/11.31  
% 3.96/11.31  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.96/11.31  
% 3.96/11.31  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 3.96/11.31  
% 3.96/11.31  % ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.96/11.31  
% 3.96/11.31  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.96/11.31  % ------ Proving...
% 3.96/11.31  % ------ Problem Properties 
% 3.96/11.31  
% 3.96/11.31  % 
% 3.96/11.31  % clauses                               188
% 3.96/11.31  % conjectures                           10
% 3.96/11.31  % EPR                                   61
% 3.96/11.31  % Horn                                  160
% 3.96/11.31  % unary                                 67
% 3.96/11.31  % binary                                22
% 3.96/11.31  % lits                                  557
% 3.96/11.31  % lits eq                               75
% 3.96/11.31  % fd_pure                               0
% 3.96/11.31  % fd_pseudo                             0
% 3.96/11.31  % fd_cond                               15
% 3.96/11.31  % fd_pseudo_cond                        14
% 3.96/11.31  % AC symbols                            0
% 3.96/11.31  
% 3.96/11.31  % ------ Schedule dynamic 5 is on 
% 3.96/11.31  
% 3.96/11.31  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.96/11.31  
% 3.96/11.31  
% 3.96/11.31  % ------ 
% 3.96/11.31  % Current options:
% 3.96/11.31  % ------ 
% 3.96/11.31  
% 3.96/11.31  
% 3.96/11.31  % 
% 3.96/11.31  
% 3.96/11.31  % ------ Proving...
% 3.96/11.31  % 
% 3.96/11.31  
% 3.96/11.31  % SZS status Unsatisfiable for theBenchmark.p
% 3.96/11.31  
% 3.96/11.31  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.96/11.31  
% 3.96/11.31  
%------------------------------------------------------------------------------