TSTP Solution File: COM141+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : COM141+1 : TPTP v8.2.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 : Mon Jun 24 04:55:43 EDT 2024

% Result   : Theorem 10.02s 2.10s
% Output   : CNFRefutation 10.02s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f56,axiom,
    ! [X8,X9,X19,X20,X34,X14] :
      ( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
        & vnoType = vlookup(X8,X19)
        & X8 != X20 )
     => vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-abs-1') ).

fof(f57,axiom,
    ! [X8,X9,X19,X20,X34,X14] :
      ( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
        & vnoType = vlookup(X8,X19)
        & X8 = X20 )
     => vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-abs-2') ).

fof(f58,conjecture,
    ! [X8,X9,X19,X20,X34,X14] :
      ( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
        & vnoType = vlookup(X8,X19) )
     => vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-abs') ).

fof(f59,negated_conjecture,
    ~ ! [X8,X9,X19,X20,X34,X14] :
        ( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
          & vnoType = vlookup(X8,X19) )
       => vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
    inference(negated_conjecture,[],[f58]) ).

fof(f113,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
        & vnoType = vlookup(X0,X2)
        & X0 != X3 )
     => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
    inference(rectify,[],[f56]) ).

fof(f114,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
        & vnoType = vlookup(X0,X2)
        & X0 = X3 )
     => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
    inference(rectify,[],[f57]) ).

fof(f115,plain,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
          & vnoType = vlookup(X0,X2) )
       => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
    inference(rectify,[],[f59]) ).

fof(f195,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | vnoType != vlookup(X0,X2)
      | X0 = X3 ),
    inference(ennf_transformation,[],[f113]) ).

fof(f196,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | vnoType != vlookup(X0,X2)
      | X0 = X3 ),
    inference(flattening,[],[f195]) ).

fof(f197,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | vnoType != vlookup(X0,X2)
      | X0 != X3 ),
    inference(ennf_transformation,[],[f114]) ).

fof(f198,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | vnoType != vlookup(X0,X2)
      | X0 != X3 ),
    inference(flattening,[],[f197]) ).

fof(f199,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      & vtcheck(X2,vabs(X3,X4,veabs),X5)
      & vnoType = vlookup(X0,X2) ),
    inference(ennf_transformation,[],[f115]) ).

fof(f200,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      & vtcheck(X2,vabs(X3,X4,veabs),X5)
      & vnoType = vlookup(X0,X2) ),
    inference(flattening,[],[f199]) ).

fof(f288,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
        & vtcheck(X2,vabs(X3,X4,veabs),X5)
        & vnoType = vlookup(X0,X2) )
   => ( ~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92)
      & vtcheck(sK89,vabs(sK90,sK91,veabs),sK92)
      & vnoType = vlookup(sK87,sK89) ) ),
    introduced(choice_axiom,[]) ).

fof(f289,plain,
    ( ~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92)
    & vtcheck(sK89,vabs(sK90,sK91,veabs),sK92)
    & vnoType = vlookup(sK87,sK89) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91,sK92])],[f200,f288]) ).

fof(f439,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | vnoType != vlookup(X0,X2)
      | X0 = X3 ),
    inference(cnf_transformation,[],[f196]) ).

fof(f440,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | vnoType != vlookup(X0,X2)
      | X0 != X3 ),
    inference(cnf_transformation,[],[f198]) ).

fof(f441,plain,
    vnoType = vlookup(sK87,sK89),
    inference(cnf_transformation,[],[f289]) ).

fof(f442,plain,
    vtcheck(sK89,vabs(sK90,sK91,veabs),sK92),
    inference(cnf_transformation,[],[f289]) ).

fof(f443,plain,
    ~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92),
    inference(cnf_transformation,[],[f289]) ).

fof(f555,plain,
    ! [X2,X3,X1,X4,X5] :
      ( vtcheck(vbind(X3,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | vnoType != vlookup(X3,X2) ),
    inference(equality_resolution,[],[f440]) ).

cnf(c_188,plain,
    ( vlookup(X0,X1) != vnoType
    | ~ vtcheck(X1,vabs(X2,X3,veabs),X4)
    | X0 = X2
    | vtcheck(vbind(X0,X5,X1),vabs(X2,X3,veabs),X4) ),
    inference(cnf_transformation,[],[f439]) ).

cnf(c_189,plain,
    ( vlookup(X0,X1) != vnoType
    | ~ vtcheck(X1,vabs(X0,X2,veabs),X3)
    | vtcheck(vbind(X0,X4,X1),vabs(X0,X2,veabs),X3) ),
    inference(cnf_transformation,[],[f555]) ).

cnf(c_190,negated_conjecture,
    ~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92),
    inference(cnf_transformation,[],[f443]) ).

cnf(c_191,negated_conjecture,
    vtcheck(sK89,vabs(sK90,sK91,veabs),sK92),
    inference(cnf_transformation,[],[f442]) ).

cnf(c_192,negated_conjecture,
    vlookup(sK87,sK89) = vnoType,
    inference(cnf_transformation,[],[f441]) ).

cnf(c_13233,plain,
    vlookup(sK87,sK89) = sP0_iProver_def,
    definition ).

cnf(c_13234,plain,
    vabs(sK90,sK91,veabs) = sP1_iProver_def,
    definition ).

cnf(c_13235,plain,
    vbind(sK87,sK88,sK89) = sP2_iProver_def,
    definition ).

cnf(c_13236,negated_conjecture,
    sP0_iProver_def = vnoType,
    inference(demodulation,[status(thm)],[c_192,c_13233]) ).

cnf(c_13237,negated_conjecture,
    vtcheck(sK89,sP1_iProver_def,sK92),
    inference(demodulation,[status(thm)],[c_191,c_13234]) ).

cnf(c_13238,negated_conjecture,
    ~ vtcheck(sP2_iProver_def,sP1_iProver_def,sK92),
    inference(demodulation,[status(thm)],[c_190,c_13235]) ).

cnf(c_22557,plain,
    ( vlookup(X0,X1) != sP0_iProver_def
    | ~ vtcheck(X1,vabs(X0,X2,veabs),X3)
    | vtcheck(vbind(X0,X4,X1),vabs(X0,X2,veabs),X3) ),
    inference(light_normalisation,[status(thm)],[c_189,c_13236]) ).

cnf(c_22570,plain,
    ( ~ vtcheck(sK89,vabs(sK87,X0,veabs),X1)
    | vtcheck(vbind(sK87,X2,sK89),vabs(sK87,X0,veabs),X1) ),
    inference(superposition,[status(thm)],[c_13233,c_22557]) ).

cnf(c_22861,plain,
    ( ~ vtcheck(sK89,vabs(sK87,X0,veabs),X1)
    | vtcheck(sP2_iProver_def,vabs(sK87,X0,veabs),X1) ),
    inference(superposition,[status(thm)],[c_13235,c_22570]) ).

cnf(c_24304,plain,
    ( vlookup(X0,X1) != sP0_iProver_def
    | ~ vtcheck(X1,vabs(X2,X3,veabs),X4)
    | X0 = X2
    | vtcheck(vbind(X0,X5,X1),vabs(X2,X3,veabs),X4) ),
    inference(light_normalisation,[status(thm)],[c_188,c_13236]) ).

cnf(c_24320,plain,
    ( ~ vtcheck(sK89,vabs(X0,X1,veabs),X2)
    | X0 = sK87
    | vtcheck(vbind(sK87,X3,sK89),vabs(X0,X1,veabs),X2) ),
    inference(superposition,[status(thm)],[c_13233,c_24304]) ).

cnf(c_24871,plain,
    ( ~ vtcheck(sK89,vabs(X0,X1,veabs),X2)
    | X0 = sK87
    | vtcheck(sP2_iProver_def,vabs(X0,X1,veabs),X2) ),
    inference(superposition,[status(thm)],[c_13235,c_24320]) ).

cnf(c_26919,plain,
    ( ~ vtcheck(sK89,sP1_iProver_def,X0)
    | sK87 = sK90
    | vtcheck(sP2_iProver_def,vabs(sK90,sK91,veabs),X0) ),
    inference(superposition,[status(thm)],[c_13234,c_24871]) ).

cnf(c_26920,plain,
    ( ~ vtcheck(sK89,sP1_iProver_def,X0)
    | sK87 = sK90
    | vtcheck(sP2_iProver_def,sP1_iProver_def,X0) ),
    inference(light_normalisation,[status(thm)],[c_26919,c_13234]) ).

cnf(c_27715,plain,
    ( sK87 = sK90
    | vtcheck(sP2_iProver_def,sP1_iProver_def,sK92) ),
    inference(superposition,[status(thm)],[c_13237,c_26920]) ).

cnf(c_27716,plain,
    sK87 = sK90,
    inference(forward_subsumption_resolution,[status(thm)],[c_27715,c_13238]) ).

cnf(c_27742,plain,
    vabs(sK87,sK91,veabs) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_13234,c_27716]) ).

cnf(c_27885,plain,
    ( ~ vtcheck(sK89,sP1_iProver_def,X0)
    | vtcheck(sP2_iProver_def,vabs(sK87,sK91,veabs),X0) ),
    inference(superposition,[status(thm)],[c_27742,c_22861]) ).

cnf(c_27891,plain,
    ( ~ vtcheck(sK89,sP1_iProver_def,X0)
    | vtcheck(sP2_iProver_def,sP1_iProver_def,X0) ),
    inference(light_normalisation,[status(thm)],[c_27885,c_27742]) ).

cnf(c_28509,plain,
    vtcheck(sP2_iProver_def,sP1_iProver_def,sK92),
    inference(superposition,[status(thm)],[c_13237,c_27891]) ).

cnf(c_28510,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_28509,c_13238]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.10  % Problem  : COM141+1 : TPTP v8.2.0. Released v6.4.0.
% 0.01/0.10  % Command  : run_iprover %s %d THM
% 0.09/0.29  % Computer : n020.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Thu Jun 20 23:24:09 EDT 2024
% 0.09/0.29  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  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
% 10.02/2.10  % SZS status Started for theBenchmark.p
% 10.02/2.10  % SZS status Theorem for theBenchmark.p
% 10.02/2.10  
% 10.02/2.10  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.02/2.10  
% 10.02/2.10  ------  iProver source info
% 10.02/2.10  
% 10.02/2.10  git: date: 2024-06-12 09:56:46 +0000
% 10.02/2.10  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 10.02/2.10  git: non_committed_changes: false
% 10.02/2.10  
% 10.02/2.10  ------ Parsing...
% 10.02/2.10  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 10.02/2.10  
% 10.02/2.10  ------ Preprocessing... sup_sim: 1  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 10.02/2.10  
% 10.02/2.10  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 10.02/2.10  
% 10.02/2.10  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.02/2.10  ------ Proving...
% 10.02/2.10  ------ Problem Properties 
% 10.02/2.10  
% 10.02/2.10  
% 10.02/2.10  clauses                                 143
% 10.02/2.10  conjectures                             3
% 10.02/2.10  EPR                                     6
% 10.02/2.10  Horn                                    116
% 10.02/2.10  unary                                   29
% 10.02/2.10  binary                                  86
% 10.02/2.10  lits                                    309
% 10.02/2.10  lits eq                                 139
% 10.02/2.10  fd_pure                                 0
% 10.02/2.10  fd_pseudo                               0
% 10.02/2.10  fd_cond                                 3
% 10.02/2.10  fd_pseudo_cond                          21
% 10.02/2.10  AC symbols                              0
% 10.02/2.10  
% 10.02/2.10  ------ Schedule dynamic 5 is on 
% 10.02/2.10  
% 10.02/2.10  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.02/2.10  
% 10.02/2.10  
% 10.02/2.10  ------ 
% 10.02/2.10  Current options:
% 10.02/2.10  ------ 
% 10.02/2.10  
% 10.02/2.10  
% 10.02/2.10  
% 10.02/2.10  
% 10.02/2.10  ------ Proving...
% 10.02/2.10  
% 10.02/2.10  
% 10.02/2.10  % SZS status Theorem for theBenchmark.p
% 10.02/2.10  
% 10.02/2.10  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.02/2.10  
% 10.02/2.10  
%------------------------------------------------------------------------------