TSTP Solution File: CSR062+3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CSR062+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 02:11:37 EDT 2024

% Result   : Theorem 125.14s 17.26s
% Output   : CNFRefutation 125.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   53 (  14 unt;   0 def)
%            Number of atoms       :  102 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   91 (  42   ~;  34   |;   3   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   60 (   3 sgn  36   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1050,axiom,
    ( mtvisible(c_cyclistsmt)
   => tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_1050) ).

fof(f3103,axiom,
    ! [X2,X3] :
      ( tptptypes_6_388(X2,X3)
     => tptptypes_5_387(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3103) ).

fof(f3146,axiom,
    ! [X2,X3] :
      ( tptptypes_8_390(X2,X3)
     => tptptypes_7_389(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3146) ).

fof(f3529,axiom,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3529) ).

fof(f3784,axiom,
    ! [X2,X3] :
      ( tptptypes_7_389(X2,X3)
     => tptptypes_6_388(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3784) ).

fof(f4481,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_4481) ).

fof(f7997,axiom,
    ! [X20,X21] :
      ( ( genlmt(X20,X21)
        & mtvisible(X20) )
     => mtvisible(X21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7997) ).

fof(f8006,conjecture,
    ? [X2] :
      ( mtvisible(c_tptp_member3205_mt)
     => tptptypes_5_387(X2,c_pushingwithfingers) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query162) ).

fof(f8007,negated_conjecture,
    ~ ? [X2] :
        ( mtvisible(c_tptp_member3205_mt)
       => tptptypes_5_387(X2,c_pushingwithfingers) ),
    inference(negated_conjecture,[],[f8006]) ).

fof(f8175,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X0,X1)
     => tptptypes_5_387(X0,X1) ),
    inference(rectify,[],[f3103]) ).

fof(f8177,plain,
    ! [X0,X1] :
      ( tptptypes_8_390(X0,X1)
     => tptptypes_7_389(X0,X1) ),
    inference(rectify,[],[f3146]) ).

fof(f8207,plain,
    ! [X0,X1] :
      ( tptptypes_7_389(X0,X1)
     => tptptypes_6_388(X1,X0) ),
    inference(rectify,[],[f3784]) ).

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

fof(f11726,plain,
    ~ ? [X0] :
        ( mtvisible(c_tptp_member3205_mt)
       => tptptypes_5_387(X0,c_pushingwithfingers) ),
    inference(rectify,[],[f8007]) ).

fof(f12873,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(ennf_transformation,[],[f1050]) ).

fof(f13702,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X0,X1)
      | ~ tptptypes_6_388(X0,X1) ),
    inference(ennf_transformation,[],[f8175]) ).

fof(f13713,plain,
    ! [X0,X1] :
      ( tptptypes_7_389(X0,X1)
      | ~ tptptypes_8_390(X0,X1) ),
    inference(ennf_transformation,[],[f8177]) ).

fof(f13960,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X1,X0)
      | ~ tptptypes_7_389(X0,X1) ),
    inference(ennf_transformation,[],[f8207]) ).

fof(f17109,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(ennf_transformation,[],[f11718]) ).

fof(f17110,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(flattening,[],[f17109]) ).

fof(f17119,plain,
    ! [X0] :
      ( ~ tptptypes_5_387(X0,c_pushingwithfingers)
      & mtvisible(c_tptp_member3205_mt) ),
    inference(ennf_transformation,[],[f11726]) ).

fof(f18151,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[],[f12873]) ).

fof(f20169,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X0,X1)
      | ~ tptptypes_6_388(X0,X1) ),
    inference(cnf_transformation,[],[f13702]) ).

fof(f20212,plain,
    ! [X0,X1] :
      ( tptptypes_7_389(X0,X1)
      | ~ tptptypes_8_390(X0,X1) ),
    inference(cnf_transformation,[],[f13713]) ).

fof(f20589,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f3529]) ).

fof(f20839,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X1,X0)
      | ~ tptptypes_7_389(X0,X1) ),
    inference(cnf_transformation,[],[f13960]) ).

fof(f21522,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[],[f4481]) ).

fof(f24397,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[],[f17110]) ).

fof(f24406,plain,
    mtvisible(c_tptp_member3205_mt),
    inference(cnf_transformation,[],[f17119]) ).

fof(f24407,plain,
    ! [X0] : ~ tptptypes_5_387(X0,c_pushingwithfingers),
    inference(cnf_transformation,[],[f17119]) ).

cnf(c_1080,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    inference(cnf_transformation,[],[f18151]) ).

cnf(c_3098,plain,
    ( ~ tptptypes_6_388(X0,X1)
    | tptptypes_5_387(X0,X1) ),
    inference(cnf_transformation,[],[f20169]) ).

cnf(c_3141,plain,
    ( ~ tptptypes_8_390(X0,X1)
    | tptptypes_7_389(X0,X1) ),
    inference(cnf_transformation,[],[f20212]) ).

cnf(c_3518,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f20589]) ).

cnf(c_3768,plain,
    ( ~ tptptypes_7_389(X0,X1)
    | tptptypes_6_388(X1,X0) ),
    inference(cnf_transformation,[],[f20839]) ).

cnf(c_4451,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[],[f21522]) ).

cnf(c_7326,plain,
    ( ~ genlmt(X0,X1)
    | ~ mtvisible(X0)
    | mtvisible(X1) ),
    inference(cnf_transformation,[],[f24397]) ).

cnf(c_7335,negated_conjecture,
    ~ tptptypes_5_387(X0,c_pushingwithfingers),
    inference(cnf_transformation,[],[f24407]) ).

cnf(c_7336,negated_conjecture,
    mtvisible(c_tptp_member3205_mt),
    inference(cnf_transformation,[],[f24406]) ).

cnf(c_15787,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    inference(prop_impl_just,[status(thm)],[c_1080]) ).

cnf(c_17685,plain,
    ( ~ tptptypes_6_388(X0,X1)
    | tptptypes_5_387(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_3098]) ).

cnf(c_18025,plain,
    ( ~ tptptypes_7_389(X0,X1)
    | tptptypes_6_388(X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_3768]) ).

cnf(c_18031,plain,
    ( tptptypes_7_389(X0,X1)
    | ~ tptptypes_8_390(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_3141]) ).

cnf(c_18032,plain,
    ( ~ tptptypes_8_390(X0,X1)
    | tptptypes_7_389(X0,X1) ),
    inference(renaming,[status(thm)],[c_18031]) ).

cnf(c_60268,plain,
    ~ tptptypes_6_388(X0,c_pushingwithfingers),
    inference(resolution,[status(thm)],[c_17685,c_7335]) ).

cnf(c_61397,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027) ),
    inference(resolution,[status(thm)],[c_15787,c_18032]) ).

cnf(c_62352,plain,
    ~ tptptypes_7_389(c_pushingwithfingers,X0),
    inference(resolution,[status(thm)],[c_18025,c_60268]) ).

cnf(c_62359,plain,
    ~ mtvisible(c_cyclistsmt),
    inference(backward_subsumption_resolution,[status(thm)],[c_61397,c_62352]) ).

cnf(c_213866,plain,
    ( ~ genlmt(X0,c_cyclistsmt)
    | ~ mtvisible(X0)
    | mtvisible(c_cyclistsmt) ),
    inference(instantiation,[status(thm)],[c_7326]) ).

cnf(c_213871,plain,
    ( ~ genlmt(X0,c_tptp_spindleheadmt)
    | ~ mtvisible(X0)
    | mtvisible(c_tptp_spindleheadmt) ),
    inference(instantiation,[status(thm)],[c_7326]) ).

cnf(c_214942,plain,
    ( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt)
    | mtvisible(c_cyclistsmt) ),
    inference(instantiation,[status(thm)],[c_213866]) ).

cnf(c_215000,plain,
    ( ~ genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3205_mt)
    | mtvisible(c_tptp_spindleheadmt) ),
    inference(instantiation,[status(thm)],[c_213871]) ).

cnf(c_215001,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_215000,c_214942,c_62359,c_3518,c_4451,c_7336]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CSR062+3 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May  2 23:01:27 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 125.14/17.26  % SZS status Started for theBenchmark.p
% 125.14/17.26  % SZS status Theorem for theBenchmark.p
% 125.14/17.26  
% 125.14/17.26  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 125.14/17.26  
% 125.14/17.26  ------  iProver source info
% 125.14/17.26  
% 125.14/17.26  git: date: 2024-05-02 19:28:25 +0000
% 125.14/17.26  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 125.14/17.26  git: non_committed_changes: false
% 125.14/17.26  
% 125.14/17.26  ------ Parsing...
% 125.14/17.26  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 125.14/17.26  
% 125.14/17.26  ------ 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:1024:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 125.14/17.26  
% 125.14/17.26  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 125.14/17.26  ------ Proving...
% 125.14/17.26  ------ Problem Properties 
% 125.14/17.26  
% 125.14/17.26  
% 125.14/17.26  clauses                                 4799
% 125.14/17.26  conjectures                             1
% 125.14/17.26  EPR                                     3403
% 125.14/17.26  Horn                                    4799
% 125.14/17.26  unary                                   2598
% 125.14/17.26  binary                                  1804
% 125.14/17.26  lits                                    7397
% 125.14/17.26  lits eq                                 0
% 125.14/17.26  fd_pure                                 0
% 125.14/17.26  fd_pseudo                               0
% 125.14/17.26  fd_cond                                 0
% 125.14/17.26  fd_pseudo_cond                          0
% 125.14/17.26  AC symbols                              0
% 125.14/17.26  
% 125.14/17.26  ------ Schedule dynamic 5 is on 
% 125.14/17.26  
% 125.14/17.26  ------ no equalities: superposition off 
% 125.14/17.26  
% 125.14/17.26  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 125.14/17.26  
% 125.14/17.26  
% 125.14/17.26  ------ 
% 125.14/17.26  Current options:
% 125.14/17.26  ------ 
% 125.14/17.26  
% 125.14/17.26  
% 125.14/17.26  
% 125.14/17.26  
% 125.14/17.26  ------ Proving...
% 125.14/17.26  
% 125.14/17.26  
% 125.14/17.26  % SZS status Theorem for theBenchmark.p
% 125.14/17.26  
% 125.14/17.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 125.14/17.26  
% 125.14/17.26  
%------------------------------------------------------------------------------