TSTP Solution File: KLE089+1 by iProver---3.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.5
% Problem  : KLE089+1 : TPTP v7.5.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 prover_driver.py --schedule_mode external --schedule fof_schedule --no_cores 8 %s %d

% 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 : 3000s
% DateTime : Thu Jun  3 18:56:29 EDT 2021

% Result   : Theorem 3.48s
% Output   : CNFRefutation 3.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   44 (  38 unt;   0 def)
%            Number of atoms       :   52 (  51 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   17 (   9   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   59 (   0 sgn  35   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,conjecture,
    ! [X3,X4] :
      ( addition(domain(X3),antidomain(X4)) = antidomain(X4)
     => zero = multiplication(domain(X3),X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f22,negated_conjecture,
    ~ ! [X3,X4] :
        ( addition(domain(X3),antidomain(X4)) = antidomain(X4)
       => zero = multiplication(domain(X3),X4) ),
    inference(negated_conjecture,[],[f21]) ).

fof(f32,plain,
    ~ ! [X0,X1] :
        ( addition(domain(X0),antidomain(X1)) = antidomain(X1)
       => zero = multiplication(domain(X0),X1) ),
    inference(rectify,[],[f22]) ).

fof(f33,plain,
    ? [X0,X1] :
      ( zero != multiplication(domain(X0),X1)
      & addition(domain(X0),antidomain(X1)) = antidomain(X1) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f34,plain,
    ( ? [X0,X1] :
        ( zero != multiplication(domain(X0),X1)
        & addition(domain(X0),antidomain(X1)) = antidomain(X1) )
   => ( zero != multiplication(domain(sK0),sK1)
      & addition(domain(sK0),antidomain(sK1)) = antidomain(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ( zero != multiplication(domain(sK0),sK1)
    & addition(domain(sK0),antidomain(sK1)) = antidomain(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f33,f34]) ).

fof(f55,plain,
    addition(domain(sK0),antidomain(sK1)) = antidomain(sK1),
    inference(cnf_transformation,[],[f35]) ).

fof(f16,axiom,
    ! [X3] : antidomain(antidomain(X3)) = domain(X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f27,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(rectify,[],[f16]) ).

fof(f50,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(cnf_transformation,[],[f27]) ).

fof(f58,plain,
    addition(antidomain(antidomain(sK0)),antidomain(sK1)) = antidomain(sK1),
    inference(definition_unfolding,[],[f55,f50]) ).

fof(f2,axiom,
    ! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f23,plain,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(rectify,[],[f2]) ).

fof(f37,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f23]) ).

fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f36,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f39,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f13,axiom,
    ! [X3] : zero = multiplication(antidomain(X3),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f24,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(rectify,[],[f13]) ).

fof(f47,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(cnf_transformation,[],[f24]) ).

fof(f9,axiom,
    ! [X0,X1,X2] : addition(multiplication(X0,X2),multiplication(X1,X2)) = multiplication(addition(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f44,plain,
    ! [X2,X0,X1] : addition(multiplication(X0,X2),multiplication(X1,X2)) = multiplication(addition(X0,X1),X2),
    inference(cnf_transformation,[],[f9]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f38,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f56,plain,
    zero != multiplication(domain(sK0),sK1),
    inference(cnf_transformation,[],[f35]) ).

fof(f57,plain,
    zero != multiplication(antidomain(antidomain(sK0)),sK1),
    inference(definition_unfolding,[],[f56,f50]) ).

cnf(c_18,negated_conjecture,
    addition(antidomain(antidomain(sK0)),antidomain(sK1)) = antidomain(sK1),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_1,plain,
    addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_0,plain,
    addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_36,negated_conjecture,
    addition(antidomain(sK1),antidomain(antidomain(sK0))) = antidomain(sK1),
    inference(theory_normalisation,[status(thm)],[c_18,c_1,c_0]) ).

cnf(c_3,plain,
    addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f39]) ).

cnf(c_83,plain,
    addition(X0,addition(X1,X2)) = addition(X1,addition(X2,X0)),
    inference(superposition,[status(thm)],[c_1,c_0]) ).

cnf(c_509,plain,
    addition(X0,addition(X1,X0)) = addition(X1,X0),
    inference(superposition,[status(thm)],[c_3,c_83]) ).

cnf(c_4057,plain,
    addition(antidomain(antidomain(sK0)),antidomain(sK1)) = antidomain(sK1),
    inference(superposition,[status(thm)],[c_36,c_509]) ).

cnf(c_11,plain,
    multiplication(antidomain(X0),X0) = zero,
    inference(cnf_transformation,[],[f47]) ).

cnf(c_8,plain,
    addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_189,plain,
    multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
    inference(superposition,[status(thm)],[c_11,c_8]) ).

cnf(c_2,plain,
    addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f38]) ).

cnf(c_191,plain,
    multiplication(addition(X0,antidomain(X1)),X1) = multiplication(X0,X1),
    inference(demodulation,[status(thm)],[c_189,c_2]) ).

cnf(c_5826,plain,
    multiplication(antidomain(antidomain(sK0)),sK1) = multiplication(antidomain(sK1),sK1),
    inference(superposition,[status(thm)],[c_4057,c_191]) ).

cnf(c_5829,plain,
    multiplication(antidomain(antidomain(sK0)),sK1) = zero,
    inference(demodulation,[status(thm)],[c_5826,c_11]) ).

cnf(c_17,negated_conjecture,
    multiplication(antidomain(antidomain(sK0)),sK1) != zero,
    inference(cnf_transformation,[],[f57]) ).

cnf(c_5830,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_5829,c_17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : KLE089+1 : TPTP v7.5.0. Released v4.0.0.
% 0.12/0.13  % Command  : python3 prover_driver.py --schedule_mode external --schedule fof_schedule --no_cores 8 %s %d
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 3000
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Jun  1 02:19:34 EDT 2021
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running in SAT mode
% 3.48/1.11  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.48/1.11  warning: lib.ml: dbg_global_flag=false
% 3.48/1.11  
% 3.48/1.11  %---------------- iProver v3.5 (pre CASC-28 2021) ----------------%
% 3.48/1.11  
% 3.48/1.11  warning: SMTSolver_Dummy: dbg_flag=true
% 3.48/1.11  warning: perfectDiscrTree: dbg_flag=true
% 3.48/1.11  warning: prop_lit_to_fof_flag: true
% 3.48/1.11  warning: demodulationIndex: false
% 3.48/1.11  warning: demodulationIndex fwd_only_orientable_flag: false
% 3.48/1.11  warning: lightNormalisationIndex:use_non_ground true
% 3.48/1.11  warning: simplify_new: dbg_flag=true
% 3.48/1.11  warning: resolution_loop: dbg_flag=true
% 3.48/1.11  warning: use_rec_defs_flag: true
% 3.48/1.11  warning: def_merge_tr_red_non_prop_flag: true
% 3.48/1.11  warning: !!! set_of_support_flag = true, sos_shift_only_out_of_phase_flag  = true
% 3.48/1.11  
% 3.48/1.11  warning: instantiation_loop:sth_get_sel_lits_in_phase_solver_consist
% 3.48/1.11  warning: finite_models commented: preprocess_after_flattening
% 3.48/1.11  warning: Superposition_scores: dbg_flag=true
% 3.48/1.11  warning: when_born_iter_flag: true
% 3.48/1.11  warning: proof_search_loop: dbg_flag=true
% 3.48/1.11  warning: proof_search_loop: ps_stagnation_limit:1000
% 3.48/1.11  warning: ar_dbg: dbg_flag=true
% 3.48/1.11  warning: pred_elim_qbf: true
% 3.48/1.11  warning: dbg_qbf_res_prep_flag: true
% 3.48/1.11  ------  iProver source info
% 3.48/1.11  
% 3.48/1.11  git: date: 2021-05-28 16:58:14 +0100
% 3.48/1.11  git: sha1: e59f531ca0c437769fd594dd26ba89f51e536e3d
% 3.48/1.11  git: non_committed_changes: false
% 3.48/1.11  git: last_make_outside_of_git: false
% 3.48/1.11  
% 3.48/1.11  ------ Parsing...
% 3.48/1.11  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.48/1.11  
% 3.48/1.11  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.48/1.11  
% 3.48/1.11  ------ Preprocessing... scvd_s sp: 0 0s scvd_e  snvd_s sp: 0 0s snvd_e 
% 3.48/1.11  
% 3.48/1.11  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.48/1.11  ------ Proving...
% 3.48/1.11  ------ Problem Properties 
% 3.48/1.11  
% 3.48/1.11  
% 3.48/1.11  clauses                                 19
% 3.48/1.11  conjectures                             2
% 3.48/1.11  EPR                                     0
% 3.48/1.11  Horn                                    19
% 3.48/1.11  unary                                   19
% 3.48/1.11  binary                                  0
% 3.48/1.11  lits                                    19
% 3.48/1.11  lits eq                                 19
% 3.48/1.11  fd_pure                                 0
% 3.48/1.11  fd_pseudo                               0
% 3.48/1.11  fd_cond                                 0
% 3.48/1.11  fd_pseudo_cond                          0
% 3.48/1.11  AC symbols                              1
% 3.48/1.11  
% 3.48/1.11  ------ Input Options Time Limit: Unbounded
% 3.48/1.11  
% 3.48/1.11  
% 3.48/1.11  ------ 
% 3.48/1.11  Current options:
% 3.48/1.11  ------ 
% 3.48/1.11  
% 3.48/1.11  
% 3.48/1.11  
% 3.48/1.11  
% 3.48/1.11  ------ Proving...
% 3.48/1.11  
% 3.48/1.11  
% 3.48/1.11  % SZS status Theorem for theBenchmark.p
% 3.48/1.11  
% 3.48/1.11   Resolution empty clause
% 3.48/1.11  
% 3.48/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.48/1.11  % SZS output end CNFRefutation for theBenchmark.p
% 3.48/1.11  
% 3.48/1.11  ------                               Statistics
% 3.48/1.11  
% 3.48/1.11  ------ Selected
% 3.48/1.11  
% 3.48/1.11  total_time:                             0.23
% 3.48/1.11  
% 3.48/1.12  ulimit: Command not found.
%------------------------------------------------------------------------------