↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC047+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n009.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 03:07:40 PM UTC 2026

% Result   : Theorem 1.45s 1.30s
% Output   : CNFRefutation 3.65s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f550ERROR: Could not build tree for root c_11731ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f49,axiom,
    ! [X0] :
      ( ssList(X0)
     => rearsegP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax49) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( ? [X4] :
                            ( rearsegP(X0,X4)
                            & rearsegP(X1,X4)
                            & neq(X4,nil)
                            & ssList(X4) )
                        | ~ neq(X1,nil) )
                      & ( nil = X0
                        | nil != X1 ) )
                    | X3 != X2
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( ? [X4] :
                              ( rearsegP(X0,X4)
                              & rearsegP(X1,X4)
                              & neq(X4,nil)
                              & ssList(X4) )
                          | ~ neq(X1,nil) )
                        & ( nil = X0
                          | nil != X1 ) )
                      | X3 != X2
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f163,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | rearsegP(X0,X0) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f221,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( ( ! [X4] :
                          ( ~ rearsegP(X0,X4)
                          | ~ rearsegP(X1,X4)
                          | ~ neq(X4,nil)
                          | ~ ssList(X4) )
                      & neq(X1,nil) )
                    | ( nil != X0
                      & nil = X1 ) )
                  & X2 = X3
                  & X0 = X2
                  & X1 = X3 ) ) ) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( ( ! [X4] :
                          ( ~ rearsegP(X0,X4)
                          | ~ rearsegP(X1,X4)
                          | ~ neq(X4,nil)
                          | ~ ssList(X4) )
                      & neq(X1,nil) )
                    | ( nil != X0
                      & nil = X1 ) )
                  & X2 = X3
                  & X0 = X2
                  & X1 = X3 ) ) ) ),
    inference(flattening,[],[f221]) ).

fof(f296,plain,
    ( ssList(sK53)
    & ssList(sK54)
    & ssList(sK55)
    & ssList(sK56)
    & ( ( ! [X4] :
            ( ~ rearsegP(sK53,X4)
            | ~ rearsegP(sK54,X4)
            | ~ neq(X4,nil)
            | ~ ssList(X4) )
        & neq(sK54,nil) )
      | ( nil != sK53
        & nil = sK54 ) )
    & sK55 = sK56
    & sK53 = sK55
    & sK54 = sK56 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56)],[f222]) ).

fof(f433,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | rearsegP(X0,X0) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f496,plain,
    ssList(sK53),
    inference(cnf_transformation,[],[f296]) ).

fof(f501,plain,
    ( neq(sK54,nil)
    | nil != sK53 ),
    inference(cnf_transformation,[],[f296]) ).

fof(f503,plain,
    ( neq(sK54,nil)
    | nil = sK54 ),
    inference(cnf_transformation,[],[f296]) ).

fof(f504,plain,
    sK55 = sK56,
    inference(cnf_transformation,[],[f296]) ).

fof(f505,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f296]) ).

fof(f506,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f296]) ).

fof(f507,plain,
    sK53 = sK56,
    inference(definition_unfolding,[],[f505,f504]) ).

fof(f508,plain,
    ( neq(sK56,nil)
    | nil = sK56 ),
    inference(definition_unfolding,[],[f503,f506,f506]) ).

fof(f510,plain,
    ( neq(sK56,nil)
    | nil != sK56 ),
    inference(definition_unfolding,[],[f501,f507,f506]) ).

fof(f514,plain,
    ssList(sK56),
    inference(definition_unfolding,[],[f496,f507]) ).

tcf(c_185,plain,
    ! [X0: $i] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f433]) ).

tcf(c_246,negated_conjecture,
    ( neq(sK56,nil)
    | ( nil = sK56 ) ),
    inference(cnf_transformation,[],[f508]) ).

tcf(c_247,negated_conjecture,
    ! [X0: $i] :
      ( ( nil = sK56 )
      | ~ ssList(X0)
      | ~ rearsegP(sK56,X0)
      | ~ neq(X0,nil) ),
    inference(cnf_transformation,[],[f549]) ).

tcf(c_248,negated_conjecture,
    ( neq(sK56,nil)
    | ( nil != sK56 ) ),
    inference(cnf_transformation,[],[f510]) ).

tcf(c_249,negated_conjecture,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ~ rearsegP(sK56,X0)
      | ~ neq(X0,nil)
      | ( nil != sK56 ) ),
    inference(cnf_transformation,[],[f550]) ).

tcf(c_253,negated_conjecture,
    ssList(sK56),
    inference(cnf_transformation,[],[f514]) ).

tcf(c_368,negated_conjecture,
    neq(sK56,nil),
    inference(global_subsumption_just,[status(thm)],[c_246,c_246,c_248]) ).

tcf(c_370,negated_conjecture,
    neq(sK56,nil),
    inference(global_subsumption_just,[status(thm)],[c_248,c_368]) ).

tcf(c_378,plain,
    ! [X0: $i] :
      ( ~ neq(X0,nil)
      | ~ rearsegP(sK56,X0)
      | ~ ssList(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_247,c_247,c_249]) ).

tcf(c_379,negated_conjecture,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ~ rearsegP(sK56,X0)
      | ~ neq(X0,nil) ),
    inference(renaming,[status(thm)],[c_378]) ).

tcf(c_380,negated_conjecture,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ~ rearsegP(sK56,X0)
      | ~ neq(X0,nil) ),
    inference(global_subsumption_just,[status(thm)],[c_249,c_379]) ).

tcf(c_3243,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ~ rearsegP(sK56,X0)
      | ( nil != nil )
      | ( X0 != sK56 ) ),
    inference(resolution_lifted,[status(thm)],[c_370,c_380]) ).

tcf(c_3244,plain,
    ( ~ ssList(sK56)
    | ~ rearsegP(sK56,sK56) ),
    inference(unflattening,[status(thm)],[c_3243]) ).

tcf(c_3245,plain,
    ~ rearsegP(sK56,sK56),
    inference(global_subsumption_just,[status(thm)],[c_3244,c_253,c_3244]) ).

tcf(c_8844,plain,
    ~ rearsegP(sK56,sK56),
    inference(demodulation,[status(thm)],[c_3245]) ).

tcf(c_8847,negated_conjecture,
    ssList(sK56),
    inference(demodulation,[status(thm)],[c_253]) ).

tcf(c_11730,plain,
    ~ ssList(sK56),
    inference(superposition,[status(thm)],[c_185,c_8844]) ).

tcf(c_11731,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_11730,c_8847]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC047+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n009.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Thu Sep 24 16:05:44 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 1.45/1.30  % SZS status Started for theBenchmark.p
% 1.45/1.30  % SZS status Theorem for theBenchmark.p
% 1.45/1.30  
% 1.45/1.30  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.45/1.30  
% 1.45/1.30  % ------  iProver source info
% 1.45/1.30  
% 1.45/1.30  % git: date: 2026-07-19 20:42:38 +0200
% 1.45/1.30  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.45/1.30  % git: non_committed_changes: false
% 1.45/1.30  
% 1.45/1.30  % ------ Parsing...
% 1.45/1.30  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.45/1.30  
% 1.45/1.30  % ------ 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: 5 0s  sf_e  pe_s  pe_e % 
% 1.45/1.30  
% 1.45/1.30  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 1.45/1.30  
% 1.45/1.30  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.45/1.30  % ------ Proving...
% 1.45/1.30  % ------ Problem Properties 
% 1.45/1.30  
% 1.45/1.30  % 
% 1.45/1.30  % clauses                               184
% 1.45/1.30  % conjectures                           1
% 1.45/1.30  % EPR                                   53
% 1.45/1.30  % Horn                                  116
% 1.45/1.30  % unary                                 19
% 1.45/1.30  % binary                                40
% 1.45/1.30  % lits                                  624
% 1.45/1.30  % lits eq                               80
% 1.45/1.30  % fd_pure                               0
% 1.45/1.30  % fd_pseudo                             0
% 1.45/1.30  % fd_cond                               22
% 1.45/1.30  % fd_pseudo_cond                        14
% 1.45/1.30  % AC symbols                            0
% 1.45/1.30  
% 1.45/1.30  % ------ Schedule dynamic 5 is on 
% 1.45/1.30  
% 1.45/1.30  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.45/1.30  
% 1.45/1.30  
% 1.45/1.30  % ------ 
% 1.45/1.30  % Current options:
% 1.45/1.30  % ------ 
% 1.45/1.30  
% 1.45/1.30  
% 1.45/1.30  % 
% 1.45/1.30  
% 1.45/1.30  % ------ Proving...
% 1.45/1.30  % 
% 1.45/1.30  
% 1.45/1.30  % SZS status Theorem for theBenchmark.p
% 1.45/1.30  
% 1.45/1.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.65/1.30  
% 3.65/1.30  
%------------------------------------------------------------------------------