TSTP Solution File: RNG121+4 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG121+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 02:57:45 EDT 2024

% Result   : Theorem 3.95s 1.15s
% Output   : CNFRefutation 3.95s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).

fof(f39,axiom,
    ( aElement0(xb)
    & aElement0(xa) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).

fof(f43,axiom,
    ( aElementOf0(xb,slsdtgt0(xb))
    & ? [X0] :
        ( xb = sdtasdt0(xb,X0)
        & aElement0(X0) )
    & aElementOf0(sz00,slsdtgt0(xb))
    & ? [X0] :
        ( sz00 = sdtasdt0(xb,X0)
        & aElement0(X0) )
    & aElementOf0(xa,slsdtgt0(xa))
    & ? [X0] :
        ( xa = sdtasdt0(xa,X0)
        & aElement0(X0) )
    & aElementOf0(sz00,slsdtgt0(xa))
    & ? [X0] :
        ( sz00 = sdtasdt0(xa,X0)
        & aElement0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2203) ).

fof(f53,conjecture,
    ( aElementOf0(xb,xI)
    | ? [X0,X1] :
        ( sdtpldt0(X0,X1) = xb
        & aElementOf0(X1,slsdtgt0(xb))
        & aElementOf0(X0,slsdtgt0(xa)) )
    | ? [X0,X1] :
        ( sdtpldt0(X0,X1) = xb
        & aElementOf0(X1,slsdtgt0(xb))
        & aElementOf0(X0,slsdtgt0(xa)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f54,negated_conjecture,
    ~ ( aElementOf0(xb,xI)
      | ? [X0,X1] :
          ( sdtpldt0(X0,X1) = xb
          & aElementOf0(X1,slsdtgt0(xb))
          & aElementOf0(X0,slsdtgt0(xa)) )
      | ? [X0,X1] :
          ( sdtpldt0(X0,X1) = xb
          & aElementOf0(X1,slsdtgt0(xb))
          & aElementOf0(X0,slsdtgt0(xa)) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f64,plain,
    ( aElementOf0(xb,slsdtgt0(xb))
    & ? [X0] :
        ( xb = sdtasdt0(xb,X0)
        & aElement0(X0) )
    & aElementOf0(sz00,slsdtgt0(xb))
    & ? [X1] :
        ( sz00 = sdtasdt0(xb,X1)
        & aElement0(X1) )
    & aElementOf0(xa,slsdtgt0(xa))
    & ? [X2] :
        ( xa = sdtasdt0(xa,X2)
        & aElement0(X2) )
    & aElementOf0(sz00,slsdtgt0(xa))
    & ? [X3] :
        ( sz00 = sdtasdt0(xa,X3)
        & aElement0(X3) ) ),
    inference(rectify,[],[f43]) ).

fof(f69,plain,
    ~ ( aElementOf0(xb,xI)
      | ? [X0,X1] :
          ( sdtpldt0(X0,X1) = xb
          & aElementOf0(X1,slsdtgt0(xb))
          & aElementOf0(X0,slsdtgt0(xa)) )
      | ? [X2,X3] :
          ( xb = sdtpldt0(X2,X3)
          & aElementOf0(X3,slsdtgt0(xb))
          & aElementOf0(X2,slsdtgt0(xa)) ) ),
    inference(rectify,[],[f54]) ).

fof(f80,plain,
    ! [X0] :
      ( ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f127,plain,
    ( ~ aElementOf0(xb,xI)
    & ! [X0,X1] :
        ( sdtpldt0(X0,X1) != xb
        | ~ aElementOf0(X1,slsdtgt0(xb))
        | ~ aElementOf0(X0,slsdtgt0(xa)) )
    & ! [X2,X3] :
        ( xb != sdtpldt0(X2,X3)
        | ~ aElementOf0(X3,slsdtgt0(xb))
        | ~ aElementOf0(X2,slsdtgt0(xa)) ) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f199,plain,
    ( ? [X0] :
        ( xb = sdtasdt0(xb,X0)
        & aElement0(X0) )
   => ( xb = sdtasdt0(xb,sK32)
      & aElement0(sK32) ) ),
    introduced(choice_axiom,[]) ).

fof(f200,plain,
    ( ? [X1] :
        ( sz00 = sdtasdt0(xb,X1)
        & aElement0(X1) )
   => ( sz00 = sdtasdt0(xb,sK33)
      & aElement0(sK33) ) ),
    introduced(choice_axiom,[]) ).

fof(f201,plain,
    ( ? [X2] :
        ( xa = sdtasdt0(xa,X2)
        & aElement0(X2) )
   => ( xa = sdtasdt0(xa,sK34)
      & aElement0(sK34) ) ),
    introduced(choice_axiom,[]) ).

fof(f202,plain,
    ( ? [X3] :
        ( sz00 = sdtasdt0(xa,X3)
        & aElement0(X3) )
   => ( sz00 = sdtasdt0(xa,sK35)
      & aElement0(sK35) ) ),
    introduced(choice_axiom,[]) ).

fof(f203,plain,
    ( aElementOf0(xb,slsdtgt0(xb))
    & xb = sdtasdt0(xb,sK32)
    & aElement0(sK32)
    & aElementOf0(sz00,slsdtgt0(xb))
    & sz00 = sdtasdt0(xb,sK33)
    & aElement0(sK33)
    & aElementOf0(xa,slsdtgt0(xa))
    & xa = sdtasdt0(xa,sK34)
    & aElement0(sK34)
    & aElementOf0(sz00,slsdtgt0(xa))
    & sz00 = sdtasdt0(xa,sK35)
    & aElement0(sK35) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33,sK34,sK35])],[f64,f202,f201,f200,f199]) ).

fof(f229,plain,
    ! [X0] :
      ( sdtpldt0(sz00,X0) = X0
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f313,plain,
    aElement0(xb),
    inference(cnf_transformation,[],[f39]) ).

fof(f352,plain,
    aElementOf0(sz00,slsdtgt0(xa)),
    inference(cnf_transformation,[],[f203]) ).

fof(f361,plain,
    aElementOf0(xb,slsdtgt0(xb)),
    inference(cnf_transformation,[],[f203]) ).

fof(f404,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) != xb
      | ~ aElementOf0(X1,slsdtgt0(xb))
      | ~ aElementOf0(X0,slsdtgt0(xa)) ),
    inference(cnf_transformation,[],[f127]) ).

cnf(c_56,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sz00,X0) = X0 ),
    inference(cnf_transformation,[],[f229]) ).

cnf(c_140,plain,
    aElement0(xb),
    inference(cnf_transformation,[],[f313]) ).

cnf(c_178,plain,
    aElementOf0(xb,slsdtgt0(xb)),
    inference(cnf_transformation,[],[f361]) ).

cnf(c_187,plain,
    aElementOf0(sz00,slsdtgt0(xa)),
    inference(cnf_transformation,[],[f352]) ).

cnf(c_232,negated_conjecture,
    ( sdtpldt0(X0,X1) != xb
    | ~ aElementOf0(X0,slsdtgt0(xa))
    | ~ aElementOf0(X1,slsdtgt0(xb)) ),
    inference(cnf_transformation,[],[f404]) ).

cnf(c_7798,plain,
    slsdtgt0(xa) = sP0_iProver_def,
    definition ).

cnf(c_7799,plain,
    slsdtgt0(xb) = sP1_iProver_def,
    definition ).

cnf(c_7800,negated_conjecture,
    ( sdtpldt0(X0,X1) != xb
    | ~ aElementOf0(X0,sP0_iProver_def)
    | ~ aElementOf0(X1,sP1_iProver_def) ),
    inference(demodulation,[status(thm)],[c_232,c_7799,c_7798]) ).

cnf(c_9870,plain,
    aElementOf0(xb,sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_178,c_7799]) ).

cnf(c_9873,plain,
    aElementOf0(sz00,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_187,c_7798]) ).

cnf(c_9999,plain,
    sdtpldt0(sz00,xb) = xb,
    inference(superposition,[status(thm)],[c_140,c_56]) ).

cnf(c_10151,plain,
    ( ~ aElementOf0(sz00,sP0_iProver_def)
    | ~ aElementOf0(xb,sP1_iProver_def) ),
    inference(superposition,[status(thm)],[c_9999,c_7800]) ).

cnf(c_10152,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_10151,c_9870,c_9873]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : RNG121+4 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May  2 21:13:35 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.95/1.15  % SZS status Started for theBenchmark.p
% 3.95/1.15  % SZS status Theorem for theBenchmark.p
% 3.95/1.15  
% 3.95/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.95/1.15  
% 3.95/1.15  ------  iProver source info
% 3.95/1.15  
% 3.95/1.15  git: date: 2024-05-02 19:28:25 +0000
% 3.95/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.95/1.15  git: non_committed_changes: false
% 3.95/1.15  
% 3.95/1.15  ------ Parsing...
% 3.95/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.95/1.15  
% 3.95/1.15  ------ Preprocessing... sup_sim: 2  sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 3.95/1.15  
% 3.95/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.95/1.15  
% 3.95/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.95/1.15  ------ Proving...
% 3.95/1.15  ------ Problem Properties 
% 3.95/1.15  
% 3.95/1.15  
% 3.95/1.15  clauses                                 173
% 3.95/1.15  conjectures                             2
% 3.95/1.15  EPR                                     48
% 3.95/1.15  Horn                                    146
% 3.95/1.15  unary                                   60
% 3.95/1.15  binary                                  33
% 3.95/1.15  lits                                    457
% 3.95/1.15  lits eq                                 76
% 3.95/1.15  fd_pure                                 0
% 3.95/1.15  fd_pseudo                               0
% 3.95/1.15  fd_cond                                 5
% 3.95/1.15  fd_pseudo_cond                          11
% 3.95/1.15  AC symbols                              0
% 3.95/1.15  
% 3.95/1.15  ------ Schedule dynamic 5 is on 
% 3.95/1.15  
% 3.95/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.95/1.15  
% 3.95/1.15  
% 3.95/1.15  ------ 
% 3.95/1.15  Current options:
% 3.95/1.15  ------ 
% 3.95/1.15  
% 3.95/1.15  
% 3.95/1.15  
% 3.95/1.15  
% 3.95/1.15  ------ Proving...
% 3.95/1.15  
% 3.95/1.15  
% 3.95/1.15  % SZS status Theorem for theBenchmark.p
% 3.95/1.15  
% 3.95/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.95/1.16  
% 3.95/1.16  
%------------------------------------------------------------------------------