TSTP Solution File: CSR026+2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CSR026+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 8.03s 1.65s
% Output   : CNFRefutation 8.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   44 (  17 unt;   0 def)
%            Number of atoms       :   84 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   74 (  34   ~;  28   |;   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   :   18 (   0 sgn  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f163,axiom,
    ( mtvisible(c_cyclistsmt)
   => runningshorts(c_tptprunningshorts) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_163) ).

fof(f254,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_254) ).

fof(f315,axiom,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_315) ).

fof(f344,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_344) ).

fof(f364,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_364) ).

fof(f440,axiom,
    ! [X9] :
      ( ( runningshorts(X9)
        & mtvisible(c_tptp_member2701_mt) )
     => tptpofobject(X9,f_tptpquantityfn_2(n_756)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_440) ).

fof(f1123,axiom,
    ! [X19,X20] :
      ( ( genlmt(X19,X20)
        & mtvisible(X19) )
     => mtvisible(X20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1123) ).

fof(f1132,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query76) ).

fof(f1133,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
    inference(negated_conjecture,[],[f1132]) ).

fof(f1167,plain,
    ! [X0] :
      ( ( runningshorts(X0)
        & mtvisible(c_tptp_member2701_mt) )
     => tptpofobject(X0,f_tptpquantityfn_2(n_756)) ),
    inference(rectify,[],[f440]) ).

fof(f1788,plain,
    ! [X0,X1] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ),
    inference(rectify,[],[f1123]) ).

fof(f1966,plain,
    ( runningshorts(c_tptprunningshorts)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(ennf_transformation,[],[f163]) ).

fof(f2094,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_2(n_756))
      | ~ runningshorts(X0)
      | ~ mtvisible(c_tptp_member2701_mt) ),
    inference(ennf_transformation,[],[f1167]) ).

fof(f2095,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_2(n_756))
      | ~ runningshorts(X0)
      | ~ mtvisible(c_tptp_member2701_mt) ),
    inference(flattening,[],[f2094]) ).

fof(f2674,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(ennf_transformation,[],[f1788]) ).

fof(f2675,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(flattening,[],[f2674]) ).

fof(f2684,plain,
    ( ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756))
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f2846,plain,
    ( runningshorts(c_tptprunningshorts)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[],[f1966]) ).

fof(f2937,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[],[f254]) ).

fof(f2997,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f315]) ).

fof(f3026,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
    inference(cnf_transformation,[],[f344]) ).

fof(f3046,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(cnf_transformation,[],[f364]) ).

fof(f3122,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_2(n_756))
      | ~ runningshorts(X0)
      | ~ mtvisible(c_tptp_member2701_mt) ),
    inference(cnf_transformation,[],[f2095]) ).

fof(f3715,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[],[f2675]) ).

fof(f3724,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[],[f2684]) ).

fof(f3725,plain,
    ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
    inference(cnf_transformation,[],[f2684]) ).

cnf(c_210,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | runningshorts(c_tptprunningshorts) ),
    inference(cnf_transformation,[],[f2846]) ).

cnf(c_301,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[],[f2937]) ).

cnf(c_361,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f2997]) ).

cnf(c_390,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
    inference(cnf_transformation,[],[f3026]) ).

cnf(c_410,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(cnf_transformation,[],[f3046]) ).

cnf(c_486,plain,
    ( ~ runningshorts(X0)
    | ~ mtvisible(c_tptp_member2701_mt)
    | tptpofobject(X0,f_tptpquantityfn_2(n_756)) ),
    inference(cnf_transformation,[],[f3122]) ).

cnf(c_1079,plain,
    ( ~ genlmt(X0,X1)
    | ~ mtvisible(X0)
    | mtvisible(X1) ),
    inference(cnf_transformation,[],[f3715]) ).

cnf(c_1088,negated_conjecture,
    ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
    inference(cnf_transformation,[],[f3725]) ).

cnf(c_1089,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[],[f3724]) ).

cnf(c_2593,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | runningshorts(c_tptprunningshorts) ),
    inference(prop_impl_just,[status(thm)],[c_210]) ).

cnf(c_11462,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_member2701_mt)
    | tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
    inference(resolution,[status(thm)],[c_2593,c_486]) ).

cnf(c_11463,plain,
    ( ~ mtvisible(c_tptp_member2701_mt)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(global_subsumption_just,[status(thm)],[c_11462,c_1088,c_11462]) ).

cnf(c_11464,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_member2701_mt) ),
    inference(renaming,[status(thm)],[c_11463]) ).

cnf(c_23570,plain,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | mtvisible(c_cyclistsmt) ),
    inference(superposition,[status(thm)],[c_301,c_1079]) ).

cnf(c_23579,plain,
    ( ~ mtvisible(c_tptp_member3993_mt)
    | mtvisible(c_tptp_spindleheadmt) ),
    inference(superposition,[status(thm)],[c_361,c_1079]) ).

cnf(c_23587,plain,
    ( ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member2701_mt) ),
    inference(superposition,[status(thm)],[c_390,c_1079]) ).

cnf(c_23591,plain,
    ( ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member3993_mt) ),
    inference(superposition,[status(thm)],[c_410,c_1079]) ).

cnf(c_23610,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_23570,c_23579,c_23587,c_23591,c_11464,c_1089]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : CSR026+2 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n003.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 23:04:20 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  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
% 8.03/1.65  % SZS status Started for theBenchmark.p
% 8.03/1.65  % SZS status Theorem for theBenchmark.p
% 8.03/1.65  
% 8.03/1.65  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.03/1.65  
% 8.03/1.65  ------  iProver source info
% 8.03/1.65  
% 8.03/1.65  git: date: 2024-05-02 19:28:25 +0000
% 8.03/1.65  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.03/1.65  git: non_committed_changes: false
% 8.03/1.65  
% 8.03/1.65  ------ Parsing...
% 8.03/1.65  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 8.03/1.65  
% 8.03/1.65  ------ Preprocessing... sf_s  rm: 30 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_e 
% 8.03/1.65  
% 8.03/1.65  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.03/1.65  ------ Proving...
% 8.03/1.65  ------ Problem Properties 
% 8.03/1.65  
% 8.03/1.65  
% 8.03/1.65  clauses                                 770
% 8.03/1.65  conjectures                             1
% 8.03/1.65  EPR                                     722
% 8.03/1.65  Horn                                    770
% 8.03/1.65  unary                                   272
% 8.03/1.65  binary                                  463
% 8.03/1.65  lits                                    1303
% 8.03/1.65  lits eq                                 0
% 8.03/1.65  fd_pure                                 0
% 8.03/1.65  fd_pseudo                               0
% 8.03/1.65  fd_cond                                 0
% 8.03/1.65  fd_pseudo_cond                          0
% 8.03/1.65  AC symbols                              0
% 8.03/1.65  
% 8.03/1.65  ------ Input Options Time Limit: Unbounded
% 8.03/1.65  
% 8.03/1.65  
% 8.03/1.65  ------ 
% 8.03/1.65  Current options:
% 8.03/1.65  ------ 
% 8.03/1.65  
% 8.03/1.65  
% 8.03/1.65  
% 8.03/1.65  
% 8.03/1.65  ------ Proving...
% 8.03/1.65  
% 8.03/1.65  
% 8.03/1.65  ------ Proving...
% 8.03/1.65  
% 8.03/1.65  
% 8.03/1.65  ------ Proving...
% 8.03/1.65  
% 8.03/1.65  
% 8.03/1.65  % SZS status Theorem for theBenchmark.p
% 8.03/1.65  
% 8.03/1.65  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.03/1.65  
% 8.03/1.65  
%------------------------------------------------------------------------------