TSTP Solution File: SWV388+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV388+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 03:14:18 EDT 2024

% Result   : Theorem 2.99s 1.07s
% Output   : CNFRefutation 2.99s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,axiom,
    ! [X0,X1,X2] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l24_l34) ).

fof(f43,conjecture,
    ! [X0,X1,X2] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ( ~ ok(findmin_cpq_eff(triple(X0,X1,X2)))
        | ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l24_co) ).

fof(f44,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ~ check_cpq(triple(X0,X1,X2))
       => ( ~ ok(findmin_cpq_eff(triple(X0,X1,X2)))
          | ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ) ),
    inference(negated_conjecture,[],[f43]) ).

fof(f83,plain,
    ! [X0,X1,X2] :
      ( ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f84,plain,
    ? [X0,X1,X2] :
      ( ok(findmin_cpq_eff(triple(X0,X1,X2)))
      & check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
      & ~ check_cpq(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f85,plain,
    ? [X0,X1,X2] :
      ( ok(findmin_cpq_eff(triple(X0,X1,X2)))
      & check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
      & ~ check_cpq(triple(X0,X1,X2)) ),
    inference(flattening,[],[f84]) ).

fof(f92,plain,
    ( ? [X0,X1,X2] :
        ( ok(findmin_cpq_eff(triple(X0,X1,X2)))
        & check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
        & ~ check_cpq(triple(X0,X1,X2)) )
   => ( ok(findmin_cpq_eff(triple(sK0,sK1,sK2)))
      & check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)))
      & ~ check_cpq(triple(sK0,sK1,sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f93,plain,
    ( ok(findmin_cpq_eff(triple(sK0,sK1,sK2)))
    & check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)))
    & ~ check_cpq(triple(sK0,sK1,sK2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f85,f92]) ).

fof(f142,plain,
    ! [X2,X0,X1] :
      ( ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f143,plain,
    ~ check_cpq(triple(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f93]) ).

fof(f144,plain,
    check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2))),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_95,plain,
    ( ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
    | check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f142]) ).

cnf(c_97,negated_conjecture,
    check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2))),
    inference(cnf_transformation,[],[f144]) ).

cnf(c_98,negated_conjecture,
    ~ check_cpq(triple(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f143]) ).

cnf(c_912,plain,
    triple(sK0,sK1,sK2) = sP0_iProver_def,
    definition ).

cnf(c_913,plain,
    findmin_cpq_eff(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_914,negated_conjecture,
    ~ check_cpq(sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_98,c_912]) ).

cnf(c_915,negated_conjecture,
    check_cpq(sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_97,c_913]) ).

cnf(c_1560,plain,
    ( ~ check_cpq(findmin_cpq_eff(sP0_iProver_def))
    | check_cpq(triple(sK0,sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_912,c_95]) ).

cnf(c_1561,plain,
    ( ~ check_cpq(sP1_iProver_def)
    | check_cpq(sP0_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_1560,c_912,c_913]) ).

cnf(c_1562,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1561,c_914,c_915]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SWV388+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n031.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May  3 00:43:31 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.43  Running first-order theorem proving
% 0.18/0.43  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
% 2.99/1.07  % SZS status Started for theBenchmark.p
% 2.99/1.07  % SZS status Theorem for theBenchmark.p
% 2.99/1.07  
% 2.99/1.07  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.99/1.07  
% 2.99/1.07  ------  iProver source info
% 2.99/1.07  
% 2.99/1.07  git: date: 2024-05-02 19:28:25 +0000
% 2.99/1.07  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.99/1.07  git: non_committed_changes: false
% 2.99/1.07  
% 2.99/1.07  ------ Parsing...
% 2.99/1.07  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.99/1.07  
% 2.99/1.07  ------ Preprocessing... sup_sim: 0  sf_s  rm: 7 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 
% 2.99/1.07  
% 2.99/1.07  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.99/1.07  
% 2.99/1.07  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.99/1.07  ------ Proving...
% 2.99/1.07  ------ Problem Properties 
% 2.99/1.07  
% 2.99/1.07  
% 2.99/1.07  clauses                                 45
% 2.99/1.07  conjectures                             3
% 2.99/1.07  EPR                                     9
% 2.99/1.07  Horn                                    31
% 2.99/1.07  unary                                   20
% 2.99/1.07  binary                                  13
% 2.99/1.07  lits                                    83
% 2.99/1.07  lits eq                                 30
% 2.99/1.07  fd_pure                                 0
% 2.99/1.07  fd_pseudo                               0
% 2.99/1.07  fd_cond                                 5
% 2.99/1.07  fd_pseudo_cond                          5
% 2.99/1.07  AC symbols                              0
% 2.99/1.07  
% 2.99/1.07  ------ Schedule dynamic 5 is on 
% 2.99/1.07  
% 2.99/1.07  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.99/1.07  
% 2.99/1.07  
% 2.99/1.07  ------ 
% 2.99/1.07  Current options:
% 2.99/1.07  ------ 
% 2.99/1.07  
% 2.99/1.07  
% 2.99/1.07  
% 2.99/1.07  
% 2.99/1.07  ------ Proving...
% 2.99/1.07  
% 2.99/1.07  
% 2.99/1.07  % SZS status Theorem for theBenchmark.p
% 2.99/1.07  
% 2.99/1.07  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.99/1.07  
% 2.99/1.07  
%------------------------------------------------------------------------------