TSTP Solution File: CSR068+3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CSR068+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 02:11:42 EDT 2024

% Result   : Theorem 37.53s 5.84s
% Output   : CNFRefutation 37.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   31 (  11 unt;   0 def)
%            Number of atoms       :   68 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   67 (  30   ~;  26   |;   5   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   22 (   0 sgn  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2460,axiom,
    ! [X1] :
      ( ( furpelt(X1)
        & mtvisible(c_tptp_spindleheadmt) )
     => tptpofobject(X1,f_tptpquantityfn_1(n_328)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_2460) ).

fof(f2844,axiom,
    furpelt(c_theprototypicalfurpelt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_2844) ).

fof(f4137,axiom,
    genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_4137) ).

fof(f7997,axiom,
    ! [X20,X21] :
      ( ( genlmt(X20,X21)
        & mtvisible(X20) )
     => mtvisible(X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_7997) ).

fof(f8006,conjecture,
    ( mtvisible(c_tptp_member2356_mt)
   => tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query168) ).

fof(f8007,negated_conjecture,
    ~ ( mtvisible(c_tptp_member2356_mt)
     => tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
    inference(negated_conjecture,[],[f8006]) ).

fof(f8133,plain,
    ! [X0] :
      ( ( furpelt(X0)
        & mtvisible(c_tptp_spindleheadmt) )
     => tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
    inference(rectify,[],[f2460]) ).

fof(f11718,plain,
    ! [X0,X1] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ),
    inference(rectify,[],[f7997]) ).

fof(f13435,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_1(n_328))
      | ~ furpelt(X0)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(ennf_transformation,[],[f8133]) ).

fof(f13436,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_1(n_328))
      | ~ furpelt(X0)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(flattening,[],[f13435]) ).

fof(f17108,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(ennf_transformation,[],[f11718]) ).

fof(f17109,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(flattening,[],[f17108]) ).

fof(f17118,plain,
    ( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
    & mtvisible(c_tptp_member2356_mt) ),
    inference(ennf_transformation,[],[f8007]) ).

fof(f19535,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_1(n_328))
      | ~ furpelt(X0)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(cnf_transformation,[],[f13436]) ).

fof(f19915,plain,
    furpelt(c_theprototypicalfurpelt),
    inference(cnf_transformation,[],[f2844]) ).

fof(f21184,plain,
    genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f4137]) ).

fof(f24396,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[],[f17109]) ).

fof(f24405,plain,
    mtvisible(c_tptp_member2356_mt),
    inference(cnf_transformation,[],[f17118]) ).

fof(f24406,plain,
    ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
    inference(cnf_transformation,[],[f17118]) ).

cnf(c_2465,plain,
    ( ~ furpelt(X0)
    | ~ mtvisible(c_tptp_spindleheadmt)
    | tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
    inference(cnf_transformation,[],[f19535]) ).

cnf(c_2845,plain,
    furpelt(c_theprototypicalfurpelt),
    inference(cnf_transformation,[],[f19915]) ).

cnf(c_4114,plain,
    genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f21184]) ).

cnf(c_7326,plain,
    ( ~ genlmt(X0,X1)
    | ~ mtvisible(X0)
    | mtvisible(X1) ),
    inference(cnf_transformation,[],[f24396]) ).

cnf(c_7335,negated_conjecture,
    ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
    inference(cnf_transformation,[],[f24406]) ).

cnf(c_7336,negated_conjecture,
    mtvisible(c_tptp_member2356_mt),
    inference(cnf_transformation,[],[f24405]) ).

cnf(c_38822,plain,
    ( ~ genlmt(X0_13,X1_13)
    | ~ mtvisible(X0_13)
    | mtvisible(X1_13) ),
    inference(subtyping,[status(esa)],[c_7326]) ).

cnf(c_41736,plain,
    ( ~ furpelt(X0_13)
    | ~ mtvisible(c_tptp_spindleheadmt)
    | tptpofobject(X0_13,f_tptpquantityfn_1(n_328)) ),
    inference(subtyping,[status(esa)],[c_2465]) ).

cnf(c_47516,plain,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | ~ furpelt(c_theprototypicalfurpelt)
    | tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
    inference(instantiation,[status(thm)],[c_41736]) ).

cnf(c_47519,plain,
    ( ~ genlmt(X0_13,c_tptp_spindleheadmt)
    | ~ mtvisible(X0_13)
    | mtvisible(c_tptp_spindleheadmt) ),
    inference(instantiation,[status(thm)],[c_38822]) ).

cnf(c_47556,plain,
    ( ~ genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member2356_mt)
    | mtvisible(c_tptp_spindleheadmt) ),
    inference(instantiation,[status(thm)],[c_47519]) ).

cnf(c_47557,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_47556,c_47516,c_7335,c_4114,c_2845,c_7336]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : CSR068+3 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n010.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 23:03:49 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
% 37.53/5.84  % SZS status Started for theBenchmark.p
% 37.53/5.84  % SZS status Theorem for theBenchmark.p
% 37.53/5.84  
% 37.53/5.84  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 37.53/5.84  
% 37.53/5.84  ------  iProver source info
% 37.53/5.84  
% 37.53/5.84  git: date: 2024-05-02 19:28:25 +0000
% 37.53/5.84  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 37.53/5.84  git: non_committed_changes: false
% 37.53/5.84  
% 37.53/5.84  ------ Parsing...
% 37.53/5.84  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 37.53/5.84  
% 37.53/5.84  ------ Preprocessing... sf_s  rm: 246 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe:64:0s pe:128:0s pe:256:0s pe:512:0s pe_e 
% 37.53/5.84  
% 37.53/5.84  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  scvd_s sp: 0 0s scvd_e  snvd_s sp: 0 0s snvd_e 
% 37.53/5.84  ------ Proving...
% 37.53/5.84  ------ Problem Properties 
% 37.53/5.84  
% 37.53/5.84  
% 37.53/5.84  clauses                                 4583
% 37.53/5.84  conjectures                             2
% 37.53/5.84  EPR                                     3521
% 37.53/5.84  Horn                                    4583
% 37.53/5.84  unary                                   2554
% 37.53/5.84  binary                                  1853
% 37.53/5.84  lits                                    6788
% 37.53/5.84  lits eq                                 0
% 37.53/5.84  fd_pure                                 0
% 37.53/5.84  fd_pseudo                               0
% 37.53/5.84  fd_cond                                 0
% 37.53/5.84  fd_pseudo_cond                          0
% 37.53/5.84  AC symbols                              0
% 37.53/5.84  
% 37.53/5.84  ------ Input Options Time Limit: Unbounded
% 37.53/5.84  
% 37.53/5.84  
% 37.53/5.84  ------ 
% 37.53/5.84  Current options:
% 37.53/5.84  ------ 
% 37.53/5.84  
% 37.53/5.84  
% 37.53/5.84  
% 37.53/5.84  
% 37.53/5.84  ------ Proving...
% 37.53/5.84  
% 37.53/5.84  
% 37.53/5.84  % SZS status Theorem for theBenchmark.p
% 37.53/5.84  
% 37.53/5.84  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 37.53/5.84  
% 37.53/5.84  
%------------------------------------------------------------------------------