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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV253-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n003.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 03:16:48 PM UTC 2026

% Result   : Unsatisfiable 3.34s 1.28s
% Output   : CNFRefutation 3.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   8 unt;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   15 (   7   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    6 (   0 sgn   6   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f3326,axiom,
    ! [X0] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).

fof(f3350,negated_conjecture,
    ( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
    | v_K != v_K_H ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f3351,negated_conjecture,
    ( v_K = v_K_H
    | c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

tcf(c_2807,negated_conjecture,
    ( ( v_K != v_K_H )
    | ( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) ) ),
    inference(cnf_transformation,[],[f3350]) ).

tcf(c_2808,negated_conjecture,
    ( ( v_K = v_K_H )
    | ( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ) ),
    inference(cnf_transformation,[],[f3351]) ).

tcf(c_2809,plain,
    ! [X0: $i] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
    inference(cnf_transformation,[],[f3326]) ).

tcf(c_2843,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Message_OinvKey(X0) = c_Message_OinvKey(X1) )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_2848,plain,
    ( ( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) )
    | ( v_K = v_K_H ) ),
    inference(prop_impl_just,[status(thm)],[c_2808]) ).

tcf(c_2849,plain,
    ( ( v_K = v_K_H )
    | ( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ) ),
    inference(renaming,[status(thm)],[c_2848]) ).

tcf(c_2850,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Message_OinvKey(X0) = c_Message_OinvKey(X1) )
      | ( X0 != X1 ) ),
    inference(prop_impl_just,[status(thm)],[c_2843]) ).

tcf(c_2872,plain,
    c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H),
    inference(forward_subsumption_resolution,[status(thm)],[c_2849,c_2850]) ).

tcf(c_2889,negated_conjecture,
    c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H),
    inference(global_subsumption_just,[status(thm)],[c_2808,c_2872]) ).

tcf(c_2891,negated_conjecture,
    v_K != v_K_H,
    inference(global_subsumption_just,[status(thm)],[c_2807,c_2807,c_2872]) ).

tcf(c_2893,plain,
    c_Message_OinvKey(c_Message_OinvKey(v_K)) = v_K_H,
    inference(superposition,[status(thm)],[c_2889,c_2809]) ).

tcf(c_2894,plain,
    v_K = v_K_H,
    inference(demodulation,[status(thm)],[c_2893,c_2809]) ).

tcf(c_2895,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2894,c_2891]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV253-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.54  % Computer : n003.cluster.edu
% 0.11/0.54  % Model    : x86_64 x86_64
% 0.11/0.54  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.54  % Memory   : 8046.5625MB
% 0.11/0.54  % OS       : Linux 6.8.0-71-generic
% 0.11/0.54  % CPULimit : 300
% 0.11/0.54  % WCLimit  : 300
% 0.11/0.54  % DateTime : Thu Sep 24 18:55:52 UTC 2026
% 0.11/0.55  % CPUTime  : 
% 0.11/0.55  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.59  Running first-order theorem proving
% 0.14/0.59  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
% 0.14/0.60  
% 0.14/0.60  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.60  
% 0.14/0.60  % Detected problem language: tptp
% 0.14/0.61  % Proving...
% 3.34/1.28  % SZS status Started for theBenchmark.p
% 3.34/1.28  % SZS status Unsatisfiable for theBenchmark.p
% 3.34/1.28  
% 3.34/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.34/1.28  
% 3.34/1.28  % ------  iProver source info
% 3.34/1.28  
% 3.34/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 3.34/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.34/1.28  % git: non_committed_changes: false
% 3.34/1.28  
% 3.34/1.28  % ------ Parsing...% successful
% 3.34/1.28  
% 3.34/1.28  
% 3.34/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.34/1.28  
% 3.34/1.28  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.34/1.28  
% 3.34/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.34/1.28  
% 3.34/1.28  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.34/1.28  % ------ Proving...
% 3.34/1.28  % ------ Problem Properties 
% 3.34/1.28  
% 3.34/1.28  % 
% 3.34/1.28  % clauses                               3
% 3.34/1.28  % conjectures                           2
% 3.34/1.28  % EPR                                   0
% 3.34/1.28  % Horn                                  2
% 3.34/1.28  % unary                                 1
% 3.34/1.28  % binary                                2
% 3.34/1.28  % lits                                  5
% 3.34/1.28  % lits eq                               5
% 3.34/1.28  % fd_pure                               0
% 3.34/1.28  % fd_pseudo                             0
% 3.34/1.28  % fd_cond                               0
% 3.34/1.28  % fd_pseudo_cond                        0
% 3.34/1.28  % AC symbols                            0
% 3.34/1.28  
% 3.34/1.28  % ------ Schedule dynamic 5 is on 
% 3.34/1.28  
% 3.34/1.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.34/1.28  
% 3.34/1.28  
% 3.34/1.28  % ------ 
% 3.34/1.28  % Current options:
% 3.34/1.28  % ------ 
% 3.34/1.28  
% 3.34/1.28  
% 3.34/1.28  % 
% 3.34/1.28  
% 3.34/1.28  % ------ Proving...
% 3.34/1.28  % 
% 3.34/1.28  
% 3.34/1.28  % SZS status Unsatisfiable for theBenchmark.p
% 3.34/1.28  
% 3.34/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.34/1.28  
% 3.34/1.28  
%------------------------------------------------------------------------------