TSTP Solution File: SET060+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET060+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : Fri May  3 02:59:35 EDT 2024

% Result   : Theorem 3.28s 1.21s
% Output   : CNFRefutation 3.28s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    ! [X0,X1,X4] :
      ( member(X4,intersection(X0,X1))
    <=> ( member(X4,X1)
        & member(X4,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection) ).

fof(f14,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
    <=> ( ~ member(X4,X0)
        & member(X4,universal_class) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement) ).

fof(f44,conjecture,
    ! [X0,X1] : ~ member(X1,intersection(complement(X0),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',special_classes_lemma) ).

fof(f45,negated_conjecture,
    ~ ! [X0,X1] : ~ member(X1,intersection(complement(X0),X0)),
    inference(negated_conjecture,[],[f44]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( member(X2,intersection(X0,X1))
    <=> ( member(X2,X1)
        & member(X2,X0) ) ),
    inference(rectify,[],[f13]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( member(X1,complement(X0))
    <=> ( ~ member(X1,X0)
        & member(X1,universal_class) ) ),
    inference(rectify,[],[f14]) ).

fof(f84,plain,
    ? [X0,X1] : member(X1,intersection(complement(X0),X0)),
    inference(ennf_transformation,[],[f45]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,intersection(X0,X1))
        | ~ member(X2,X1)
        | ~ member(X2,X0) )
      & ( ( member(X2,X1)
          & member(X2,X0) )
        | ~ member(X2,intersection(X0,X1)) ) ),
    inference(nnf_transformation,[],[f49]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,intersection(X0,X1))
        | ~ member(X2,X1)
        | ~ member(X2,X0) )
      & ( ( member(X2,X1)
          & member(X2,X0) )
        | ~ member(X2,intersection(X0,X1)) ) ),
    inference(flattening,[],[f97]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ( member(X1,complement(X0))
        | member(X1,X0)
        | ~ member(X1,universal_class) )
      & ( ( ~ member(X1,X0)
          & member(X1,universal_class) )
        | ~ member(X1,complement(X0)) ) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ( member(X1,complement(X0))
        | member(X1,X0)
        | ~ member(X1,universal_class) )
      & ( ( ~ member(X1,X0)
          & member(X1,universal_class) )
        | ~ member(X1,complement(X0)) ) ),
    inference(flattening,[],[f99]) ).

fof(f133,plain,
    ( ? [X0,X1] : member(X1,intersection(complement(X0),X0))
   => member(sK7,intersection(complement(sK6),sK6)) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    member(sK7,intersection(complement(sK6),sK6)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f84,f133]) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( member(X2,X0)
      | ~ member(X2,intersection(X0,X1)) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f160,plain,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,intersection(X0,X1)) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ~ member(X1,X0)
      | ~ member(X1,complement(X0)) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f222,plain,
    member(sK7,intersection(complement(sK6),sK6)),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_72,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X2) ),
    inference(cnf_transformation,[],[f160]) ).

cnf(c_73,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    inference(cnf_transformation,[],[f159]) ).

cnf(c_75,plain,
    ( ~ member(X0,complement(X1))
    | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f163]) ).

cnf(c_128,negated_conjecture,
    member(sK7,intersection(complement(sK6),sK6)),
    inference(cnf_transformation,[],[f222]) ).

cnf(c_1554,plain,
    complement(sK6) = sP0_iProver_def,
    definition ).

cnf(c_1555,plain,
    intersection(sP0_iProver_def,sK6) = sP1_iProver_def,
    definition ).

cnf(c_1556,negated_conjecture,
    member(sK7,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_128,c_1554,c_1555]) ).

cnf(c_2510,plain,
    ( ~ member(X0,sP1_iProver_def)
    | member(X0,sK6) ),
    inference(superposition,[status(thm)],[c_1555,c_72]) ).

cnf(c_2526,plain,
    member(sK7,sK6),
    inference(superposition,[status(thm)],[c_1556,c_2510]) ).

cnf(c_2547,plain,
    ( ~ member(X0,sP1_iProver_def)
    | member(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_1555,c_73]) ).

cnf(c_2561,plain,
    member(sK7,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_1556,c_2547]) ).

cnf(c_2573,plain,
    ( ~ member(X0,sK6)
    | ~ member(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_1554,c_75]) ).

cnf(c_2682,plain,
    ~ member(sK7,sK6),
    inference(superposition,[status(thm)],[c_2561,c_2573]) ).

cnf(c_2683,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2682,c_2526]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET060+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 20:27:16 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  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
% 3.28/1.21  % SZS status Started for theBenchmark.p
% 3.28/1.21  % SZS status Theorem for theBenchmark.p
% 3.28/1.21  
% 3.28/1.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.28/1.21  
% 3.28/1.21  ------  iProver source info
% 3.28/1.21  
% 3.28/1.21  git: date: 2024-05-02 19:28:25 +0000
% 3.28/1.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.28/1.21  git: non_committed_changes: false
% 3.28/1.21  
% 3.28/1.21  ------ Parsing...
% 3.28/1.21  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.28/1.21  
% 3.28/1.21  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e 
% 3.28/1.21  
% 3.28/1.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.28/1.21  
% 3.28/1.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.28/1.21  ------ Proving...
% 3.28/1.21  ------ Problem Properties 
% 3.28/1.21  
% 3.28/1.21  
% 3.28/1.21  clauses                                 77
% 3.28/1.21  conjectures                             1
% 3.28/1.21  EPR                                     8
% 3.28/1.21  Horn                                    69
% 3.28/1.21  unary                                   17
% 3.28/1.21  binary                                  39
% 3.28/1.21  lits                                    159
% 3.28/1.21  lits eq                                 16
% 3.28/1.21  fd_pure                                 0
% 3.28/1.21  fd_pseudo                               0
% 3.28/1.21  fd_cond                                 4
% 3.28/1.21  fd_pseudo_cond                          3
% 3.28/1.21  AC symbols                              0
% 3.28/1.21  
% 3.28/1.21  ------ Schedule dynamic 5 is on 
% 3.28/1.21  
% 3.28/1.21  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.28/1.21  
% 3.28/1.21  
% 3.28/1.21  ------ 
% 3.28/1.21  Current options:
% 3.28/1.21  ------ 
% 3.28/1.21  
% 3.28/1.21  
% 3.28/1.21  
% 3.28/1.21  
% 3.28/1.21  ------ Proving...
% 3.28/1.21  
% 3.28/1.21  
% 3.28/1.21  % SZS status Theorem for theBenchmark.p
% 3.28/1.21  
% 3.28/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.28/1.21  
% 3.28/1.21  
%------------------------------------------------------------------------------