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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUN069+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n007.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 02:29:56 PM UTC 2026

% Result   : Theorem 2.39s 1.30s
% Output   : CNFRefutation 2.39s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f77ERROR: Could not build tree for root c_901ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( X1 = X0
        & r1(X1) )
      | ( X1 != X0
        & ~ r1(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1) ).

fof(f2,axiom,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( X2 = X1
        & r2(X0,X2) )
      | ( X2 != X1
        & ~ r2(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2) ).

fof(f15,plain,
    ! [X1] :
      ( ( sK0 = X1
        & r1(X1) )
      | ( sK0 != X1
        & ~ r1(X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f1]) ).

fof(f16,plain,
    ! [X0,X2] :
      ( ( sK1(X0) = X2
        & r2(X0,X2) )
      | ( sK1(X0) != X2
        & ~ r2(X0,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f2]) ).

fof(f25,plain,
    ! [X1] :
      ( r1(X1)
      | sK0 != X1 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f29,plain,
    ! [X2,X0] :
      ( r2(X0,X2)
      | sK1(X0) != X2 ),
    inference(cnf_transformation,[],[f16]) ).

fof(f67,plain,
    r1(sK0),
    inference(equality_resolution,[],[f25]) ).

fof(f69,plain,
    ! [X0] : r2(X0,sK1(X0)),
    inference(equality_resolution,[],[f29]) ).

tcf(c_50,plain,
    r1(sK0),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_52,plain,
    ! [X0: $i] : r2(X0,sK1(X0)),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_77,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ r1(X0)
      | ~ r2(X0,X1) ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_680,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ r1(X0)
      | ~ r2(X0,X1) ),
    inference(demodulation,[status(thm)],[c_77]) ).

tcf(c_900,plain,
    ! [X0: $i] : ~ r1(X0),
    inference(superposition,[status(thm)],[c_52,c_680]) ).

tcf(c_901,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_50,c_900]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUN069+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38  % Computer : n007.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Thu Sep 24 05:51:23 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  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
% 0.12/0.43  
% 0.12/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43  
% 0.12/0.43  % Detected problem language: tptp
% 0.12/0.45  % Proving...
% 2.39/1.30  % SZS status Started for theBenchmark.p
% 2.39/1.30  % SZS status Theorem for theBenchmark.p
% 2.39/1.30  
% 2.39/1.30  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.39/1.30  
% 2.39/1.30  % ------  iProver source info
% 2.39/1.30  
% 2.39/1.30  % git: date: 2026-07-19 20:42:38 +0200
% 2.39/1.30  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.39/1.30  % git: non_committed_changes: false
% 2.39/1.30  
% 2.39/1.30  % ------ Parsing...
% 2.39/1.30  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.39/1.30  
% 2.39/1.30  % ------ Preprocessing... sup_sim: 1  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 2  sf_s  rm: 3 0s  sf_e  pe_s  pe_e % 
% 2.39/1.30  
% 2.39/1.30  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.39/1.30  
% 2.39/1.30  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.39/1.30  % ------ Proving...
% 2.39/1.30  % ------ Problem Properties 
% 2.39/1.30  
% 2.39/1.30  % 
% 2.39/1.30  % clauses                               25
% 2.39/1.30  % conjectures                           1
% 2.39/1.30  % EPR                                   5
% 2.39/1.30  % Horn                                  21
% 2.39/1.30  % unary                                 16
% 2.39/1.30  % binary                                8
% 2.39/1.30  % lits                                  35
% 2.39/1.30  % lits eq                               15
% 2.39/1.30  % fd_pure                               0
% 2.39/1.30  % fd_pseudo                             0
% 2.39/1.30  % fd_cond                               1
% 2.39/1.30  % fd_pseudo_cond                        2
% 2.39/1.30  % AC symbols                            0
% 2.39/1.30  
% 2.39/1.30  % ------ Schedule dynamic 5 is on 
% 2.39/1.30  
% 2.39/1.30  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.39/1.30  
% 2.39/1.30  
% 2.39/1.30  % ------ 
% 2.39/1.30  % Current options:
% 2.39/1.30  % ------ 
% 2.39/1.30  
% 2.39/1.30  
% 2.39/1.30  % 
% 2.39/1.30  
% 2.39/1.30  % ------ Proving...
% 2.39/1.30  % 
% 2.39/1.30  
% 2.39/1.30  % SZS status Theorem for theBenchmark.p
% 2.39/1.30  
% 2.39/1.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.39/1.30  
% 2.39/1.30  
%------------------------------------------------------------------------------