TSTP Solution File: CSR044+3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CSR044+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 02:11:22 EDT 2024

% Result   : Theorem 144.57s 19.75s
% Output   : CNFRefutation 144.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   63 (  12 unt;   0 def)
%            Number of atoms       :  143 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  145 (  65   ~;  56   |;  10   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :   67 (   0 sgn  45   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2495,axiom,
    ! [X6] :
      ( ( executionbyfiringsquad(X6)
        & mtvisible(c_cyclistsmt) )
     => tptp_9_720(X6,f_relationallexistsfn(X6,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_2495) ).

fof(f2945,axiom,
    ( mtvisible(c_cyclistsmt)
   => relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_2945) ).

fof(f3768,axiom,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_3768) ).

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

fof(f4341,axiom,
    ! [X6,X7,X8,X9] :
      ( ( relationallexists(X8,X7,X9)
        & isa(X6,X7) )
     => isa(f_relationallexistsfn(X6,X8,X7,X9),X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_4341) ).

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

fof(f5730,axiom,
    ! [X14] :
      ( isa(X14,c_tptpcol_16_29490)
     => tptpcol_16_29490(X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_5730) ).

fof(f7920,axiom,
    ! [X14] :
      ( executionbyfiringsquad(X14)
     => isa(X14,c_executionbyfiringsquad) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_7920) ).

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

fof(f8006,conjecture,
    ? [X14] :
      ( mtvisible(c_tptp_member3633_mt)
     => ( tptpcol_16_29490(X14)
        & tptp_9_720(c_tptpexecutionbyfiringsquad_90,X14) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query144) ).

fof(f8007,negated_conjecture,
    ~ ? [X14] :
        ( mtvisible(c_tptp_member3633_mt)
       => ( tptpcol_16_29490(X14)
          & tptp_9_720(c_tptpexecutionbyfiringsquad_90,X14) ) ),
    inference(negated_conjecture,[],[f8006]) ).

fof(f8136,plain,
    ! [X0] :
      ( ( executionbyfiringsquad(X0)
        & mtvisible(c_cyclistsmt) )
     => tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(rectify,[],[f2495]) ).

fof(f8234,plain,
    ! [X0,X1,X2,X3] :
      ( ( relationallexists(X2,X1,X3)
        & isa(X0,X1) )
     => isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
    inference(rectify,[],[f4341]) ).

fof(f9456,plain,
    ! [X0] :
      ( isa(X0,c_tptpcol_16_29490)
     => tptpcol_16_29490(X0) ),
    inference(rectify,[],[f5730]) ).

fof(f11642,plain,
    ! [X0] :
      ( executionbyfiringsquad(X0)
     => isa(X0,c_executionbyfiringsquad) ),
    inference(rectify,[],[f7920]) ).

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

fof(f11726,plain,
    ~ ? [X0] :
        ( mtvisible(c_tptp_member3633_mt)
       => ( tptpcol_16_29490(X0)
          & tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ) ),
    inference(rectify,[],[f8007]) ).

fof(f13450,plain,
    ! [X0] :
      ( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
      | ~ executionbyfiringsquad(X0)
      | ~ mtvisible(c_cyclistsmt) ),
    inference(ennf_transformation,[],[f8136]) ).

fof(f13451,plain,
    ! [X0] :
      ( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
      | ~ executionbyfiringsquad(X0)
      | ~ mtvisible(c_cyclistsmt) ),
    inference(flattening,[],[f13450]) ).

fof(f13637,plain,
    ( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(ennf_transformation,[],[f2945]) ).

fof(f14187,plain,
    ! [X0,X1,X2,X3] :
      ( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
      | ~ relationallexists(X2,X1,X3)
      | ~ isa(X0,X1) ),
    inference(ennf_transformation,[],[f8234]) ).

fof(f14188,plain,
    ! [X0,X1,X2,X3] :
      ( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
      | ~ relationallexists(X2,X1,X3)
      | ~ isa(X0,X1) ),
    inference(flattening,[],[f14187]) ).

fof(f15273,plain,
    ! [X0] :
      ( tptpcol_16_29490(X0)
      | ~ isa(X0,c_tptpcol_16_29490) ),
    inference(ennf_transformation,[],[f9456]) ).

fof(f17059,plain,
    ! [X0] :
      ( isa(X0,c_executionbyfiringsquad)
      | ~ executionbyfiringsquad(X0) ),
    inference(ennf_transformation,[],[f11642]) ).

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] :
      ( ( ~ tptpcol_16_29490(X0)
        | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) )
      & mtvisible(c_tptp_member3633_mt) ),
    inference(ennf_transformation,[],[f11726]) ).

fof(f19570,plain,
    ! [X0] :
      ( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
      | ~ executionbyfiringsquad(X0)
      | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[],[f13451]) ).

fof(f20014,plain,
    ( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[],[f13637]) ).

fof(f20823,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(cnf_transformation,[],[f3768]) ).

fof(f20987,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f3932]) ).

fof(f21386,plain,
    ! [X2,X3,X0,X1] :
      ( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
      | ~ relationallexists(X2,X1,X3)
      | ~ isa(X0,X1) ),
    inference(cnf_transformation,[],[f14188]) ).

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

fof(f22565,plain,
    ! [X0] :
      ( tptpcol_16_29490(X0)
      | ~ isa(X0,c_tptpcol_16_29490) ),
    inference(cnf_transformation,[],[f15273]) ).

fof(f24347,plain,
    ! [X0] :
      ( isa(X0,c_executionbyfiringsquad)
      | ~ executionbyfiringsquad(X0) ),
    inference(cnf_transformation,[],[f17059]) ).

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

fof(f24406,plain,
    mtvisible(c_tptp_member3633_mt),
    inference(cnf_transformation,[],[f17119]) ).

fof(f24407,plain,
    ! [X0] :
      ( ~ tptpcol_16_29490(X0)
      | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ),
    inference(cnf_transformation,[],[f17119]) ).

cnf(c_2499,plain,
    ( ~ executionbyfiringsquad(X0)
    | ~ mtvisible(c_cyclistsmt)
    | tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(cnf_transformation,[],[f19570]) ).

cnf(c_2943,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    inference(cnf_transformation,[],[f20014]) ).

cnf(c_3752,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(cnf_transformation,[],[f20823]) ).

cnf(c_3916,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f20987]) ).

cnf(c_4315,plain,
    ( ~ relationallexists(X0,X1,X2)
    | ~ isa(X3,X1)
    | isa(f_relationallexistsfn(X3,X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f21386]) ).

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

cnf(c_5494,plain,
    ( ~ isa(X0,c_tptpcol_16_29490)
    | tptpcol_16_29490(X0) ),
    inference(cnf_transformation,[],[f22565]) ).

cnf(c_7276,plain,
    ( ~ executionbyfiringsquad(X0)
    | isa(X0,c_executionbyfiringsquad) ),
    inference(cnf_transformation,[],[f24347]) ).

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

cnf(c_7335,negated_conjecture,
    ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
    | ~ tptpcol_16_29490(X0) ),
    inference(cnf_transformation,[],[f24407]) ).

cnf(c_7336,negated_conjecture,
    mtvisible(c_tptp_member3633_mt),
    inference(cnf_transformation,[],[f24406]) ).

cnf(c_12673,plain,
    ( tptpcol_16_29490(X0)
    | ~ isa(X0,c_tptpcol_16_29490) ),
    inference(prop_impl_just,[status(thm)],[c_5494]) ).

cnf(c_12674,plain,
    ( ~ isa(X0,c_tptpcol_16_29490)
    | tptpcol_16_29490(X0) ),
    inference(renaming,[status(thm)],[c_12673]) ).

cnf(c_19701,plain,
    ( ~ tptpcol_16_29490(X0)
    | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ),
    inference(prop_impl_just,[status(thm)],[c_7335]) ).

cnf(c_19702,plain,
    ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
    | ~ tptpcol_16_29490(X0) ),
    inference(renaming,[status(thm)],[c_19701]) ).

cnf(c_60088,plain,
    ( ~ isa(X0,c_tptpcol_16_29490)
    | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ),
    inference(resolution,[status(thm)],[c_12674,c_19702]) ).

cnf(c_75469,plain,
    ( ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
    | ~ mtvisible(c_cyclistsmt)
    | ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) ),
    inference(resolution,[status(thm)],[c_2499,c_60088]) ).

cnf(c_247419,plain,
    ( ~ genlmt(X0,c_cyclistsmt)
    | ~ mtvisible(X0)
    | mtvisible(c_cyclistsmt) ),
    inference(instantiation,[status(thm)],[c_7326]) ).

cnf(c_247424,plain,
    ( ~ genlmt(X0,c_tptp_spindleheadmt)
    | ~ mtvisible(X0)
    | mtvisible(c_tptp_spindleheadmt) ),
    inference(instantiation,[status(thm)],[c_7326]) ).

cnf(c_248160,plain,
    ( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
    | isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad) ),
    inference(instantiation,[status(thm)],[c_7276]) ).

cnf(c_248607,plain,
    ( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt)
    | mtvisible(c_cyclistsmt) ),
    inference(instantiation,[status(thm)],[c_247419]) ).

cnf(c_248623,plain,
    ( ~ genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3633_mt)
    | mtvisible(c_tptp_spindleheadmt) ),
    inference(instantiation,[status(thm)],[c_247424]) ).

cnf(c_285020,plain,
    ( ~ relationallexists(X0,c_executionbyfiringsquad,X1)
    | ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
    | isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,X0,c_executionbyfiringsquad,X1),X1) ),
    inference(instantiation,[status(thm)],[c_4315]) ).

cnf(c_285245,plain,
    ( ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
    | isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
    inference(instantiation,[status(thm)],[c_285020]) ).

cnf(c_285246,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_285245,c_248623,c_248607,c_248160,c_75469,c_2943,c_3916,c_4451,c_3752,c_7336]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CSR044+3 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n006.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 23:06:19 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
% 144.57/19.75  % SZS status Started for theBenchmark.p
% 144.57/19.75  % SZS status Theorem for theBenchmark.p
% 144.57/19.75  
% 144.57/19.75  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 144.57/19.75  
% 144.57/19.75  ------  iProver source info
% 144.57/19.75  
% 144.57/19.75  git: date: 2024-05-02 19:28:25 +0000
% 144.57/19.75  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 144.57/19.75  git: non_committed_changes: false
% 144.57/19.75  
% 144.57/19.75  ------ Parsing...
% 144.57/19.75  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 144.57/19.75  
% 144.57/19.75  ------ 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 
% 144.57/19.75  
% 144.57/19.75  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 144.57/19.75  ------ Proving...
% 144.57/19.75  ------ Problem Properties 
% 144.57/19.75  
% 144.57/19.75  
% 144.57/19.75  clauses                                 4787
% 144.57/19.75  conjectures                             1
% 144.57/19.75  EPR                                     3452
% 144.57/19.75  Horn                                    4787
% 144.57/19.75  unary                                   2567
% 144.57/19.75  binary                                  1801
% 144.57/19.75  lits                                    7426
% 144.57/19.75  lits eq                                 0
% 144.57/19.75  fd_pure                                 0
% 144.57/19.75  fd_pseudo                               0
% 144.57/19.75  fd_cond                                 0
% 144.57/19.75  fd_pseudo_cond                          0
% 144.57/19.75  AC symbols                              0
% 144.57/19.75  
% 144.57/19.75  ------ Schedule dynamic 5 is on 
% 144.57/19.75  
% 144.57/19.75  ------ no equalities: superposition off 
% 144.57/19.75  
% 144.57/19.75  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 144.57/19.75  
% 144.57/19.75  
% 144.57/19.75  ------ 
% 144.57/19.75  Current options:
% 144.57/19.75  ------ 
% 144.57/19.75  
% 144.57/19.75  
% 144.57/19.75  
% 144.57/19.75  
% 144.57/19.75  ------ Proving...
% 144.57/19.75  
% 144.57/19.75  
% 144.57/19.75  % SZS status Theorem for theBenchmark.p
% 144.57/19.75  
% 144.57/19.75  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 144.57/19.75  
% 144.57/19.76  
%------------------------------------------------------------------------------