TSTP Solution File: SWV377+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV377+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 : Thu Aug 31 22:32:46 EDT 2023

% Result   : Theorem 0.52s 1.22s
% Output   : CNFRefutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (  15 unt;   0 def)
%            Number of atoms       :   37 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   29 (  17   ~;   3   |;   4   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   53 (   7 sgn;  33   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f28,axiom,
    ! [X0,X1] :
      ( ok(triple(X0,X1,bad))
    <=> $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).

fof(f29,axiom,
    ! [X0,X1,X2] :
      ( ~ ok(triple(X0,X1,X2))
     => bad = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).

fof(f30,axiom,
    ! [X0,X1,X2,X3] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).

fof(f42,conjecture,
    ! [X0,X1,X2,X3] :
      ( ~ ok(triple(X0,X1,X2))
     => ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l13_co) ).

fof(f43,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ~ ok(triple(X0,X1,X2))
       => ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ),
    inference(negated_conjecture,[],[f42]) ).

fof(f46,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(true_and_false_elimination,[],[f28]) ).

fof(f47,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(flattening,[],[f46]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( bad = X2
      | ok(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f82,plain,
    ? [X0,X1,X2,X3] :
      ( ok(insert_cpq(triple(X0,X1,X2),X3))
      & ~ ok(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f89,plain,
    ( ? [X0,X1,X2,X3] :
        ( ok(insert_cpq(triple(X0,X1,X2),X3))
        & ~ ok(triple(X0,X1,X2)) )
   => ( ok(insert_cpq(triple(sK0,sK1,sK2),sK3))
      & ~ ok(triple(sK0,sK1,sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f90,plain,
    ( ok(insert_cpq(triple(sK0,sK1,sK2),sK3))
    & ~ ok(triple(sK0,sK1,sK2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f82,f89]) ).

fof(f125,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f47]) ).

fof(f126,plain,
    ! [X2,X0,X1] :
      ( bad = X2
      | ok(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f127,plain,
    ! [X2,X3,X0,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
    inference(cnf_transformation,[],[f30]) ).

fof(f139,plain,
    ~ ok(triple(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f90]) ).

fof(f140,plain,
    ok(insert_cpq(triple(sK0,sK1,sK2),sK3)),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_83,plain,
    ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_84,plain,
    ( X0 = bad
    | ok(triple(X1,X2,X0)) ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_85,plain,
    triple(insert_pqp(X0,X1),insert_slb(X2,pair(X1,bottom)),X3) = insert_cpq(triple(X0,X2,X3),X1),
    inference(cnf_transformation,[],[f127]) ).

cnf(c_95,negated_conjecture,
    ok(insert_cpq(triple(sK0,sK1,sK2),sK3)),
    inference(cnf_transformation,[],[f140]) ).

cnf(c_96,negated_conjecture,
    ~ ok(triple(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f139]) ).

cnf(c_1468,plain,
    ~ ok(insert_cpq(triple(X0,X1,bad),X2)),
    inference(superposition,[status(thm)],[c_85,c_83]) ).

cnf(c_1478,plain,
    bad = sK2,
    inference(superposition,[status(thm)],[c_84,c_96]) ).

cnf(c_1481,plain,
    ok(insert_cpq(triple(sK0,sK1,bad),sK3)),
    inference(demodulation,[status(thm)],[c_95,c_1478]) ).

cnf(c_1483,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1481,c_1468]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWV377+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n021.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 : Tue Aug 29 02:52:59 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.52/1.22  % SZS status Started for theBenchmark.p
% 0.52/1.22  % SZS status Theorem for theBenchmark.p
% 0.52/1.22  
% 0.52/1.22  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.52/1.22  
% 0.52/1.22  ------  iProver source info
% 0.52/1.22  
% 0.52/1.22  git: date: 2023-05-31 18:12:56 +0000
% 0.52/1.22  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.52/1.22  git: non_committed_changes: false
% 0.52/1.22  git: last_make_outside_of_git: false
% 0.52/1.22  
% 0.52/1.22  ------ Parsing...
% 0.52/1.22  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.52/1.22  
% 0.52/1.22  ------ 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 
% 0.52/1.22  
% 0.52/1.22  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.52/1.22  
% 0.52/1.22  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.52/1.22  ------ Proving...
% 0.52/1.22  ------ Problem Properties 
% 0.52/1.22  
% 0.52/1.22  
% 0.52/1.22  clauses                                 41
% 0.52/1.22  conjectures                             2
% 0.52/1.22  EPR                                     6
% 0.52/1.22  Horn                                    27
% 0.52/1.22  unary                                   17
% 0.52/1.22  binary                                  12
% 0.52/1.22  lits                                    78
% 0.52/1.22  lits eq                                 28
% 0.52/1.22  fd_pure                                 0
% 0.52/1.22  fd_pseudo                               0
% 0.52/1.22  fd_cond                                 5
% 0.52/1.22  fd_pseudo_cond                          5
% 0.52/1.22  AC symbols                              0
% 0.52/1.22  
% 0.52/1.22  ------ Schedule dynamic 5 is on 
% 0.52/1.22  
% 0.52/1.22  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.52/1.22  
% 0.52/1.22  
% 0.52/1.22  ------ 
% 0.52/1.22  Current options:
% 0.52/1.22  ------ 
% 0.52/1.22  
% 0.52/1.22  
% 0.52/1.22  
% 0.52/1.22  
% 0.52/1.22  ------ Proving...
% 0.52/1.22  
% 0.52/1.22  
% 0.52/1.22  % SZS status Theorem for theBenchmark.p
% 0.52/1.22  
% 0.52/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.52/1.22  
% 0.52/1.22  
%------------------------------------------------------------------------------