TSTP Solution File: SWC044+1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC044+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 03:11:00 EDT 2024

% Result   : Theorem 3.79s 1.18s
% Output   : CNFRefutation 3.79s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f650)

% Comments : 
%------------------------------------------------------------------------------
fof(f52,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( rearsegP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( nil = X0
                    | ~ rearsegP(X3,X2)
                    | X0 != X2
                    | X1 != X3
                    | nil != X1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( nil = X0
                      | ~ rearsegP(X3,X2)
                      | X0 != X2
                      | X1 != X3
                      | nil != X1 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f167,plain,
    ! [X0] :
      ( ( rearsegP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f201,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( nil != X0
                  & rearsegP(X3,X2)
                  & X0 = X2
                  & X1 = X3
                  & nil = X1
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( nil != X0
                  & rearsegP(X3,X2)
                  & X0 = X2
                  & X1 = X3
                  & nil = X1
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f329,plain,
    ! [X0] :
      ( ( ( rearsegP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ rearsegP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f167]) ).

fof(f343,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( nil != X0
                    & rearsegP(X3,X2)
                    & X0 = X2
                    & X1 = X3
                    & nil = X1
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( nil != sK53
                  & rearsegP(X3,X2)
                  & sK53 = X2
                  & X1 = X3
                  & nil = X1
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK53) ) ),
    introduced(choice_axiom,[]) ).

fof(f344,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( nil != sK53
                & rearsegP(X3,X2)
                & sK53 = X2
                & X1 = X3
                & nil = X1
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( nil != sK53
              & rearsegP(X3,X2)
              & sK53 = X2
              & sK54 = X3
              & nil = sK54
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK54) ) ),
    introduced(choice_axiom,[]) ).

fof(f345,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( nil != sK53
            & rearsegP(X3,X2)
            & sK53 = X2
            & sK54 = X3
            & nil = sK54
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( nil != sK53
          & rearsegP(X3,sK55)
          & sK53 = sK55
          & sK54 = X3
          & nil = sK54
          & ssList(X3) )
      & ssList(sK55) ) ),
    introduced(choice_axiom,[]) ).

fof(f346,plain,
    ( ? [X3] :
        ( nil != sK53
        & rearsegP(X3,sK55)
        & sK53 = sK55
        & sK54 = X3
        & nil = sK54
        & ssList(X3) )
   => ( nil != sK53
      & rearsegP(sK56,sK55)
      & sK53 = sK55
      & sK54 = sK56
      & nil = sK54
      & ssList(sK56) ) ),
    introduced(choice_axiom,[]) ).

fof(f347,plain,
    ( nil != sK53
    & rearsegP(sK56,sK55)
    & sK53 = sK55
    & sK54 = sK56
    & nil = sK54
    & ssList(sK56)
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56])],[f222,f346,f345,f344,f343]) ).

fof(f487,plain,
    ! [X0] :
      ( nil = X0
      | ~ rearsegP(nil,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f533,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f547,plain,
    ssList(sK53),
    inference(cnf_transformation,[],[f347]) ).

fof(f548,plain,
    ssList(sK54),
    inference(cnf_transformation,[],[f347]) ).

fof(f551,plain,
    nil = sK54,
    inference(cnf_transformation,[],[f347]) ).

fof(f552,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f347]) ).

fof(f553,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f347]) ).

fof(f554,plain,
    rearsegP(sK56,sK55),
    inference(cnf_transformation,[],[f347]) ).

fof(f555,plain,
    nil != sK53,
    inference(cnf_transformation,[],[f347]) ).

fof(f556,plain,
    nil = sK56,
    inference(definition_unfolding,[],[f551,f552]) ).

fof(f574,plain,
    ! [X0] :
      ( sK56 = X0
      | ~ rearsegP(sK56,X0)
      | ~ ssList(X0) ),
    inference(definition_unfolding,[],[f487,f556,f556]) ).

fof(f612,plain,
    ! [X0] :
      ( app(X0,sK56) = X0
      | ~ ssList(X0) ),
    inference(definition_unfolding,[],[f533,f556]) ).

fof(f615,plain,
    sK55 != sK56,
    inference(definition_unfolding,[],[f555,f556,f553]) ).

fof(f616,plain,
    ssList(sK56),
    inference(definition_unfolding,[],[f548,f552]) ).

fof(f617,plain,
    ssList(sK55),
    inference(definition_unfolding,[],[f547,f553]) ).

cnf(c_189,negated_conjecture,
    ( ~ rearsegP(sK56,X0)
    | ~ ssList(X0)
    | X0 = sK56 ),
    inference(cnf_transformation,[],[f574]) ).

cnf(c_229,negated_conjecture,
    ( ~ ssList(sK56)
    | app(sK56,sK56) = sK56 ),
    inference(cnf_transformation,[],[f650]) ).

cnf(c_232,negated_conjecture,
    ( ~ ssList(X0)
    | app(X0,sK56) = X0 ),
    inference(cnf_transformation,[],[f612]) ).

cnf(c_246,negated_conjecture,
    sK56 != sK55,
    inference(cnf_transformation,[],[f615]) ).

cnf(c_247,negated_conjecture,
    rearsegP(sK56,sK55),
    inference(cnf_transformation,[],[f554]) ).

cnf(c_250,negated_conjecture,
    ssList(sK56),
    inference(cnf_transformation,[],[f616]) ).

cnf(c_251,negated_conjecture,
    ssList(sK55),
    inference(cnf_transformation,[],[f617]) ).

cnf(c_292,plain,
    ( ~ ssList(sK56)
    | app(sK56,sK56) = sK56 ),
    inference(instantiation,[status(thm)],[c_232]) ).

cnf(c_364,negated_conjecture,
    app(sK56,sK56) = sK56,
    inference(global_subsumption_just,[status(thm)],[c_229,c_250,c_292]) ).

cnf(c_8769,plain,
    app(sK56,sK56) = sP0_iProver_def,
    definition ).

cnf(c_8770,negated_conjecture,
    sP0_iProver_def = sK56,
    inference(demodulation,[status(thm)],[c_364,c_8769]) ).

cnf(c_8774,negated_conjecture,
    ssList(sK55),
    inference(demodulation,[status(thm)],[c_251]) ).

cnf(c_8775,negated_conjecture,
    rearsegP(sK56,sK55),
    inference(demodulation,[status(thm)],[c_247]) ).

cnf(c_8776,negated_conjecture,
    sK56 != sK55,
    inference(demodulation,[status(thm)],[c_246]) ).

cnf(c_8805,negated_conjecture,
    ( ~ rearsegP(sK56,X0)
    | ~ ssList(X0)
    | X0 = sK56 ),
    inference(demodulation,[status(thm)],[c_189]) ).

cnf(c_11617,plain,
    rearsegP(sP0_iProver_def,sK55),
    inference(light_normalisation,[status(thm)],[c_8775,c_8770]) ).

cnf(c_11622,plain,
    sK55 != sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_8776,c_8770]) ).

cnf(c_11875,plain,
    ( ~ rearsegP(sP0_iProver_def,X0)
    | ~ ssList(X0)
    | X0 = sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_8805,c_8770]) ).

cnf(c_11883,plain,
    ( ~ ssList(sK55)
    | sK55 = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_11617,c_11875]) ).

cnf(c_11885,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_11883,c_11622,c_8774]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC044+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 23:41:24 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.79/1.18  % SZS status Started for theBenchmark.p
% 3.79/1.18  % SZS status Theorem for theBenchmark.p
% 3.79/1.18  
% 3.79/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.79/1.18  
% 3.79/1.18  ------  iProver source info
% 3.79/1.18  
% 3.79/1.18  git: date: 2024-05-02 19:28:25 +0000
% 3.79/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.79/1.18  git: non_committed_changes: false
% 3.79/1.18  
% 3.79/1.18  ------ Parsing...
% 3.79/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.79/1.18  
% 3.79/1.18  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e 
% 3.79/1.18  
% 3.79/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.79/1.18  
% 3.79/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.79/1.18  ------ Proving...
% 3.79/1.18  ------ Problem Properties 
% 3.79/1.18  
% 3.79/1.18  
% 3.79/1.18  clauses                                 184
% 3.79/1.18  conjectures                             51
% 3.79/1.18  EPR                                     53
% 3.79/1.18  Horn                                    116
% 3.79/1.18  unary                                   20
% 3.79/1.18  binary                                  40
% 3.79/1.18  lits                                    622
% 3.79/1.18  lits eq                                 80
% 3.79/1.18  fd_pure                                 0
% 3.79/1.18  fd_pseudo                               0
% 3.79/1.18  fd_cond                                 21
% 3.79/1.18  fd_pseudo_cond                          14
% 3.79/1.18  AC symbols                              0
% 3.79/1.18  
% 3.79/1.18  ------ Schedule dynamic 5 is on 
% 3.79/1.18  
% 3.79/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.79/1.18  
% 3.79/1.18  
% 3.79/1.18  ------ 
% 3.79/1.18  Current options:
% 3.79/1.18  ------ 
% 3.79/1.18  
% 3.79/1.18  
% 3.79/1.18  
% 3.79/1.18  
% 3.79/1.18  ------ Proving...
% 3.79/1.18  
% 3.79/1.18  
% 3.79/1.18  % SZS status Theorem for theBenchmark.p
% 3.79/1.18  
% 3.79/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.79/1.18  
% 3.79/1.18  
%------------------------------------------------------------------------------