TSTP Solution File: CSR026+3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CSR026+3 : TPTP v8.1.2. Released v3.4.0.
% 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 02:11:08 EDT 2024

% Result   : Theorem 93.45s 13.21s
% Output   : CNFRefutation 93.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   48 (  17 unt;   0 def)
%            Number of atoms       :  100 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   98 (  46   ~;  40   |;   5   &)
%                                         (   0 <=>;   7  =>;   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    :    8 (   8 usr;   7 con; 0-1 aty)
%            Number of variables   :   22 (   0 sgn  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1907,axiom,
    ! [X1] :
      ( ( runningshorts(X1)
        & mtvisible(c_tptp_member2701_mt) )
     => tptpofobject(X1,f_tptpquantityfn_2(n_756)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_1907) ).

fof(f2363,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_2363) ).

fof(f2882,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3633_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_2882) ).

fof(f3932,axiom,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_3932) ).

fof(f3995,axiom,
    ( mtvisible(c_cyclistsmt)
   => runningshorts(c_tptprunningshorts) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_3995) ).

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

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_spindlecollectormt)
   => tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query126) ).

fof(f8007,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
    inference(negated_conjecture,[],[f8006]) ).

fof(f8104,plain,
    ! [X0] :
      ( ( runningshorts(X0)
        & mtvisible(c_tptp_member2701_mt) )
     => tptpofobject(X0,f_tptpquantityfn_2(n_756)) ),
    inference(rectify,[],[f1907]) ).

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

fof(f13213,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_2(n_756))
      | ~ runningshorts(X0)
      | ~ mtvisible(c_tptp_member2701_mt) ),
    inference(ennf_transformation,[],[f8104]) ).

fof(f13214,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_2(n_756))
      | ~ runningshorts(X0)
      | ~ mtvisible(c_tptp_member2701_mt) ),
    inference(flattening,[],[f13213]) ).

fof(f14046,plain,
    ( runningshorts(c_tptprunningshorts)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(ennf_transformation,[],[f3995]) ).

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_tptprunningshorts,f_tptpquantityfn_2(n_756))
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(ennf_transformation,[],[f8007]) ).

fof(f18987,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_2(n_756))
      | ~ runningshorts(X0)
      | ~ mtvisible(c_tptp_member2701_mt) ),
    inference(cnf_transformation,[],[f13214]) ).

fof(f19438,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
    inference(cnf_transformation,[],[f2363]) ).

fof(f19952,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3633_mt),
    inference(cnf_transformation,[],[f2882]) ).

fof(f20986,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f3932]) ).

fof(f21047,plain,
    ( runningshorts(c_tptprunningshorts)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[],[f14046]) ).

fof(f21521,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[],[f4481]) ).

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

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

fof(f24406,plain,
    ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
    inference(cnf_transformation,[],[f17118]) ).

cnf(c_1917,plain,
    ( ~ runningshorts(X0)
    | ~ mtvisible(c_tptp_member2701_mt)
    | tptpofobject(X0,f_tptpquantityfn_2(n_756)) ),
    inference(cnf_transformation,[],[f18987]) ).

cnf(c_2368,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
    inference(cnf_transformation,[],[f19438]) ).

cnf(c_2882,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3633_mt),
    inference(cnf_transformation,[],[f19952]) ).

cnf(c_3916,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f20986]) ).

cnf(c_3977,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | runningshorts(c_tptprunningshorts) ),
    inference(cnf_transformation,[],[f21047]) ).

cnf(c_4451,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[],[f21521]) ).

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

cnf(c_7335,negated_conjecture,
    ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
    inference(cnf_transformation,[],[f24406]) ).

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

cnf(c_15812,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | runningshorts(c_tptprunningshorts) ),
    inference(prop_impl_just,[status(thm)],[c_3977]) ).

cnf(c_68085,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_member2701_mt)
    | tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
    inference(resolution,[status(thm)],[c_1917,c_15812]) ).

cnf(c_68086,plain,
    ( ~ mtvisible(c_tptp_member2701_mt)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(global_subsumption_just,[status(thm)],[c_68085,c_7335,c_68085]) ).

cnf(c_68087,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_member2701_mt) ),
    inference(renaming,[status(thm)],[c_68086]) ).

cnf(c_247073,plain,
    ( ~ genlmt(X0,c_cyclistsmt)
    | ~ mtvisible(X0)
    | mtvisible(c_cyclistsmt) ),
    inference(instantiation,[status(thm)],[c_7326]) ).

cnf(c_247078,plain,
    ( ~ genlmt(X0,c_tptp_spindleheadmt)
    | ~ mtvisible(X0)
    | mtvisible(c_tptp_spindleheadmt) ),
    inference(instantiation,[status(thm)],[c_7326]) ).

cnf(c_247160,plain,
    ( ~ genlmt(X0,c_tptp_member2701_mt)
    | ~ mtvisible(X0)
    | mtvisible(c_tptp_member2701_mt) ),
    inference(instantiation,[status(thm)],[c_7326]) ).

cnf(c_248263,plain,
    ( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt)
    | mtvisible(c_cyclistsmt) ),
    inference(instantiation,[status(thm)],[c_247073]) ).

cnf(c_248279,plain,
    ( ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3633_mt)
    | mtvisible(c_tptp_spindleheadmt) ),
    inference(instantiation,[status(thm)],[c_247078]) ).

cnf(c_248499,plain,
    ( ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member2701_mt) ),
    inference(instantiation,[status(thm)],[c_247160]) ).

cnf(c_249362,plain,
    ( ~ genlmt(X0,c_tptp_member3633_mt)
    | ~ mtvisible(X0)
    | mtvisible(c_tptp_member3633_mt) ),
    inference(instantiation,[status(thm)],[c_7326]) ).

cnf(c_253144,plain,
    ( ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member3633_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member3633_mt) ),
    inference(instantiation,[status(thm)],[c_249362]) ).

cnf(c_253145,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_253144,c_248499,c_248279,c_248263,c_68087,c_2368,c_2882,c_3916,c_4451,c_7336]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR026+3 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n031.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 23:53:16 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  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
% 93.45/13.21  % SZS status Started for theBenchmark.p
% 93.45/13.21  % SZS status Theorem for theBenchmark.p
% 93.45/13.21  
% 93.45/13.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 93.45/13.21  
% 93.45/13.21  ------  iProver source info
% 93.45/13.21  
% 93.45/13.21  git: date: 2024-05-02 19:28:25 +0000
% 93.45/13.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 93.45/13.21  git: non_committed_changes: false
% 93.45/13.21  
% 93.45/13.21  ------ Parsing...
% 93.45/13.21  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 93.45/13.21  
% 93.45/13.21  ------ 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 
% 93.45/13.21  
% 93.45/13.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 93.45/13.21  ------ Proving...
% 93.45/13.21  ------ Problem Properties 
% 93.45/13.21  
% 93.45/13.21  
% 93.45/13.21  clauses                                 4775
% 93.45/13.21  conjectures                             1
% 93.45/13.21  EPR                                     3453
% 93.45/13.21  Horn                                    4775
% 93.45/13.21  unary                                   2565
% 93.45/13.21  binary                                  1792
% 93.45/13.21  lits                                    7403
% 93.45/13.21  lits eq                                 0
% 93.45/13.21  fd_pure                                 0
% 93.45/13.21  fd_pseudo                               0
% 93.45/13.21  fd_cond                                 0
% 93.45/13.21  fd_pseudo_cond                          0
% 93.45/13.21  AC symbols                              0
% 93.45/13.21  
% 93.45/13.21  ------ Schedule dynamic 5 is on 
% 93.45/13.21  
% 93.45/13.21  ------ no equalities: superposition off 
% 93.45/13.21  
% 93.45/13.21  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 93.45/13.21  
% 93.45/13.21  
% 93.45/13.21  ------ 
% 93.45/13.21  Current options:
% 93.45/13.21  ------ 
% 93.45/13.21  
% 93.45/13.21  
% 93.45/13.21  
% 93.45/13.21  
% 93.45/13.21  ------ Proving...
% 93.45/13.21  
% 93.45/13.21  
% 93.45/13.21  % SZS status Theorem for theBenchmark.p
% 93.45/13.21  
% 93.45/13.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 93.45/13.21  
% 93.45/13.22  
%------------------------------------------------------------------------------