TSTP Solution File: RNG050+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG050+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 14:03:13 EDT 2024

% Result   : Theorem 1.80s 1.08s
% Output   : CNFRefutation 1.80s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).

fof(f13,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => ( sz0z00 = smndt0(sz0z00)
        & smndt0(smndt0(X0)) = X0
        & sz0z00 = sdtpldt0(smndt0(X0),X0)
        & sz0z00 = sdtpldt0(X0,smndt0(X0))
        & sz0z00 = sdtasdt0(sz0z00,X0)
        & sz0z00 = sdtasdt0(X0,sz0z00)
        & sdtpldt0(sz0z00,X0) = X0
        & sdtpldt0(X0,sz0z00) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).

fof(f27,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ( aVector0(X1)
        & aVector0(X0) )
     => ( ( sz00 = aDimensionOf0(X1)
          & aDimensionOf0(X0) = aDimensionOf0(X1) )
       => sz0z00 = sdtasasdt0(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).

fof(f37,axiom,
    aVector0(xs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1542) ).

fof(f39,conjecture,
    ( ( sz00 != aDimensionOf0(xs)
     => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
   => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f40,negated_conjecture,
    ~ ( ( sz00 != aDimensionOf0(xs)
       => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
     => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    inference(negated_conjecture,[],[f39]) ).

fof(f57,plain,
    ! [X0] :
      ( ( sz0z00 = smndt0(sz0z00)
        & smndt0(smndt0(X0)) = X0
        & sz0z00 = sdtpldt0(smndt0(X0),X0)
        & sz0z00 = sdtpldt0(X0,smndt0(X0))
        & sz0z00 = sdtasdt0(sz0z00,X0)
        & sz0z00 = sdtasdt0(X0,sz0z00)
        & sdtpldt0(sz0z00,X0) = X0
        & sdtpldt0(X0,sz0z00) = X0 )
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f81,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasasdt0(X0,X1)
      | sz00 != aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasasdt0(X0,X1)
      | sz00 != aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(flattening,[],[f93]) ).

fof(f99,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
    & ( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
      | sz00 = aDimensionOf0(xs) ) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f114,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f9]) ).

fof(f121,plain,
    ! [X0] :
      ( sz0z00 = sdtasdt0(sz0z00,X0)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f144,plain,
    ! [X0] :
      ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasasdt0(X0,X1)
      | sz00 != aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f157,plain,
    aVector0(xs),
    inference(cnf_transformation,[],[f37]) ).

fof(f159,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
    | sz00 = aDimensionOf0(xs) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f160,plain,
    ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
    inference(cnf_transformation,[],[f99]) ).

cnf(c_56,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_64,plain,
    ( ~ aScalar0(X0)
    | sdtasdt0(sz0z00,X0) = sz0z00 ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_86,plain,
    ( ~ aScalar0(X0)
    | sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
    inference(cnf_transformation,[],[f144]) ).

cnf(c_97,plain,
    ( aDimensionOf0(X0) != aDimensionOf0(X1)
    | aDimensionOf0(X1) != sz00
    | ~ aVector0(X0)
    | ~ aVector0(X1)
    | sdtasasdt0(X0,X1) = sz0z00 ),
    inference(cnf_transformation,[],[f155]) ).

cnf(c_99,plain,
    aVector0(xs),
    inference(cnf_transformation,[],[f157]) ).

cnf(c_101,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
    inference(cnf_transformation,[],[f160]) ).

cnf(c_102,negated_conjecture,
    ( aDimensionOf0(xs) = sz00
    | sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    inference(cnf_transformation,[],[f159]) ).

cnf(c_150,negated_conjecture,
    aDimensionOf0(xs) = sz00,
    inference(global_subsumption_just,[status(thm)],[c_102,c_101,c_102]) ).

cnf(c_1621,plain,
    aDimensionOf0(xs) = sP3_iProver_def,
    definition ).

cnf(c_1622,plain,
    sdtasasdt0(xs,xs) = sP4_iProver_def,
    definition ).

cnf(c_1623,negated_conjecture,
    sP3_iProver_def = sz00,
    inference(demodulation,[status(thm)],[c_150,c_1621]) ).

cnf(c_1624,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_101,c_1622]) ).

cnf(c_2580,plain,
    sdtasdt0(sz0z00,sz0z00) = sz0z00,
    inference(superposition,[status(thm)],[c_56,c_64]) ).

cnf(c_2585,plain,
    ( ~ aScalar0(sz0z00)
    | sdtlseqdt0(sz0z00,sz0z00) ),
    inference(superposition,[status(thm)],[c_2580,c_86]) ).

cnf(c_2586,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(forward_subsumption_resolution,[status(thm)],[c_2585,c_56]) ).

cnf(c_4605,plain,
    ( aDimensionOf0(X0) != aDimensionOf0(X1)
    | aDimensionOf0(X1) != sP3_iProver_def
    | ~ aVector0(X0)
    | ~ aVector0(X1)
    | sdtasasdt0(X0,X1) = sz0z00 ),
    inference(light_normalisation,[status(thm)],[c_97,c_1623]) ).

cnf(c_4623,plain,
    ( aDimensionOf0(X0) != sP3_iProver_def
    | ~ aVector0(X0)
    | sdtasasdt0(X0,X0) = sz0z00 ),
    inference(equality_resolution,[status(thm)],[c_4605]) ).

cnf(c_4662,plain,
    ( ~ aVector0(xs)
    | sdtasasdt0(xs,xs) = sz0z00 ),
    inference(superposition,[status(thm)],[c_1621,c_4623]) ).

cnf(c_4663,plain,
    ( ~ aVector0(xs)
    | sz0z00 = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_4662,c_1622]) ).

cnf(c_4664,plain,
    sz0z00 = sP4_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_4663,c_99]) ).

cnf(c_4693,plain,
    sdtlseqdt0(sP4_iProver_def,sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_2586,c_4664]) ).

cnf(c_4700,plain,
    ~ sdtlseqdt0(sP4_iProver_def,sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_1624,c_4664]) ).

cnf(c_4709,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_4693,c_4700]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : RNG050+1 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.09  % Command  : run_iprover %s %d THM
% 0.08/0.29  % Computer : n018.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 300
% 0.08/0.29  % DateTime : Tue Jun 18 14:16:09 EDT 2024
% 0.08/0.29  % CPUTime  : 
% 0.14/0.39  Running first-order theorem proving
% 0.14/0.39  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
% 1.80/1.08  % SZS status Started for theBenchmark.p
% 1.80/1.08  % SZS status Theorem for theBenchmark.p
% 1.80/1.08  
% 1.80/1.08  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.80/1.08  
% 1.80/1.08  ------  iProver source info
% 1.80/1.08  
% 1.80/1.08  git: date: 2024-06-12 09:56:46 +0000
% 1.80/1.08  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 1.80/1.08  git: non_committed_changes: false
% 1.80/1.08  
% 1.80/1.08  ------ Parsing...
% 1.80/1.08  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.80/1.08  
% 1.80/1.08  ------ 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 
% 1.80/1.08  
% 1.80/1.08  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.80/1.08  
% 1.80/1.08  ------ Preprocessing... sf_s  rm: 4 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.80/1.08  ------ Proving...
% 1.80/1.08  ------ Problem Properties 
% 1.80/1.08  
% 1.80/1.08  
% 1.80/1.08  clauses                                 58
% 1.80/1.08  conjectures                             2
% 1.80/1.08  EPR                                     12
% 1.80/1.08  Horn                                    46
% 1.80/1.08  unary                                   8
% 1.80/1.08  binary                                  16
% 1.80/1.08  lits                                    187
% 1.80/1.08  lits eq                                 53
% 1.80/1.08  fd_pure                                 0
% 1.80/1.08  fd_pseudo                               0
% 1.80/1.08  fd_cond                                 1
% 1.80/1.08  fd_pseudo_cond                          5
% 1.80/1.08  AC symbols                              0
% 1.80/1.08  
% 1.80/1.08  ------ Schedule dynamic 5 is on 
% 1.80/1.08  
% 1.80/1.08  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.80/1.08  
% 1.80/1.08  
% 1.80/1.08  ------ 
% 1.80/1.08  Current options:
% 1.80/1.08  ------ 
% 1.80/1.08  
% 1.80/1.08  
% 1.80/1.08  
% 1.80/1.08  
% 1.80/1.08  ------ Proving...
% 1.80/1.08  
% 1.80/1.08  
% 1.80/1.08  % SZS status Theorem for theBenchmark.p
% 1.80/1.08  
% 1.80/1.08  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.80/1.08  
% 1.80/1.08  
%------------------------------------------------------------------------------