TSTP Solution File: CSR070+2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CSR070+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 02:11:43 EDT 2024

% Result   : Theorem 7.59s 1.60s
% Output   : CNFRefutation 7.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   53 (  12 unt;   0 def)
%            Number of atoms       :  102 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   90 (  41   ~;  33   |;   3   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-3 aty)
%            Number of variables   :   65 (   0 sgn  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f139,axiom,
    ! [X4,X5] :
      ( tptptypes_7_819(X4,X5)
     => tptptypes_6_818(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_139) ).

fof(f178,axiom,
    ( mtvisible(c_tptp_member2668_mt)
   => tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_178) ).

fof(f271,axiom,
    ! [X4,X5] :
      ( tptptypes_8_823(X4,X5)
     => tptptypes_7_819(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_271) ).

fof(f350,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_350) ).

fof(f416,axiom,
    ! [X4,X5] :
      ( tptptypes_6_818(X4,X5)
     => tptptypes_5_802(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_416) ).

fof(f427,axiom,
    ! [X4,X5] :
      ( tptptypes_9_824(X4,X5)
     => tptptypes_8_823(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_427) ).

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)
   => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query120) ).

fof(f1133,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(negated_conjecture,[],[f1132]) ).

fof(f1144,plain,
    ! [X0,X1] :
      ( tptptypes_7_819(X0,X1)
     => tptptypes_6_818(X0,X1) ),
    inference(rectify,[],[f139]) ).

fof(f1154,plain,
    ! [X0,X1] :
      ( tptptypes_8_823(X0,X1)
     => tptptypes_7_819(X0,X1) ),
    inference(rectify,[],[f271]) ).

fof(f1164,plain,
    ! [X0,X1] :
      ( tptptypes_6_818(X0,X1)
     => tptptypes_5_802(X0,X1) ),
    inference(rectify,[],[f416]) ).

fof(f1165,plain,
    ! [X0,X1] :
      ( tptptypes_9_824(X0,X1)
     => tptptypes_8_823(X0,X1) ),
    inference(rectify,[],[f427]) ).

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

fof(f1953,plain,
    ! [X0,X1] :
      ( tptptypes_6_818(X0,X1)
      | ~ tptptypes_7_819(X0,X1) ),
    inference(ennf_transformation,[],[f1144]) ).

fof(f1975,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(ennf_transformation,[],[f178]) ).

fof(f2016,plain,
    ! [X0,X1] :
      ( tptptypes_7_819(X0,X1)
      | ~ tptptypes_8_823(X0,X1) ),
    inference(ennf_transformation,[],[f1154]) ).

fof(f2083,plain,
    ! [X0,X1] :
      ( tptptypes_5_802(X0,X1)
      | ~ tptptypes_6_818(X0,X1) ),
    inference(ennf_transformation,[],[f1164]) ).

fof(f2088,plain,
    ! [X0,X1] :
      ( tptptypes_8_823(X0,X1)
      | ~ tptptypes_9_824(X0,X1) ),
    inference(ennf_transformation,[],[f1165]) ).

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,
    ( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f2822,plain,
    ! [X0,X1] :
      ( tptptypes_6_818(X0,X1)
      | ~ tptptypes_7_819(X0,X1) ),
    inference(cnf_transformation,[],[f1953]) ).

fof(f2861,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(cnf_transformation,[],[f1975]) ).

fof(f2954,plain,
    ! [X0,X1] :
      ( tptptypes_7_819(X0,X1)
      | ~ tptptypes_8_823(X0,X1) ),
    inference(cnf_transformation,[],[f2016]) ).

fof(f3032,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(cnf_transformation,[],[f350]) ).

fof(f3098,plain,
    ! [X0,X1] :
      ( tptptypes_5_802(X0,X1)
      | ~ tptptypes_6_818(X0,X1) ),
    inference(cnf_transformation,[],[f2083]) ).

fof(f3109,plain,
    ! [X0,X1] :
      ( tptptypes_8_823(X0,X1)
      | ~ tptptypes_9_824(X0,X1) ),
    inference(cnf_transformation,[],[f2088]) ).

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,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(cnf_transformation,[],[f2684]) ).

cnf(c_186,plain,
    ( ~ tptptypes_7_819(X0,X1)
    | tptptypes_6_818(X0,X1) ),
    inference(cnf_transformation,[],[f2822]) ).

cnf(c_225,plain,
    ( ~ mtvisible(c_tptp_member2668_mt)
    | tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(cnf_transformation,[],[f2861]) ).

cnf(c_318,plain,
    ( ~ tptptypes_8_823(X0,X1)
    | tptptypes_7_819(X0,X1) ),
    inference(cnf_transformation,[],[f2954]) ).

cnf(c_396,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(cnf_transformation,[],[f3032]) ).

cnf(c_462,plain,
    ( ~ tptptypes_6_818(X0,X1)
    | tptptypes_5_802(X0,X1) ),
    inference(cnf_transformation,[],[f3098]) ).

cnf(c_473,plain,
    ( ~ tptptypes_9_824(X0,X1)
    | tptptypes_8_823(X0,X1) ),
    inference(cnf_transformation,[],[f3109]) ).

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

cnf(c_1088,negated_conjecture,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(cnf_transformation,[],[f3725]) ).

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

cnf(c_2877,plain,
    ( ~ tptptypes_7_819(X0,X1)
    | tptptypes_6_818(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_186]) ).

cnf(c_2883,plain,
    ( tptptypes_7_819(X0,X1)
    | ~ tptptypes_8_823(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_318]) ).

cnf(c_2884,plain,
    ( ~ tptptypes_8_823(X0,X1)
    | tptptypes_7_819(X0,X1) ),
    inference(renaming,[status(thm)],[c_2883]) ).

cnf(c_2887,plain,
    ( ~ tptptypes_6_818(X0,X1)
    | tptptypes_5_802(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_462]) ).

cnf(c_3149,plain,
    ( tptptypes_8_823(X0,X1)
    | ~ tptptypes_9_824(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_473]) ).

cnf(c_3150,plain,
    ( ~ tptptypes_9_824(X0,X1)
    | tptptypes_8_823(X0,X1) ),
    inference(renaming,[status(thm)],[c_3149]) ).

cnf(c_9242,plain,
    ~ tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[c_2887,c_1088]) ).

cnf(c_9249,plain,
    ~ tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[c_2877,c_9242]) ).

cnf(c_9256,plain,
    ~ tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[c_2884,c_9249]) ).

cnf(c_9263,plain,
    ~ tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[c_3150,c_9256]) ).

cnf(c_32394,plain,
    ( ~ genlmt(c_tptp_spindlecollectormt,X0)
    | ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(X0) ),
    inference(instantiation,[status(thm)],[c_1079]) ).

cnf(c_33912,plain,
    ( ~ genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member2668_mt) ),
    inference(instantiation,[status(thm)],[c_32394]) ).

cnf(c_33913,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_33912,c_9263,c_225,c_396,c_1089]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : CSR070+2 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n011.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.16/0.31  % DateTime : Thu May  2 23:04:18 EDT 2024
% 0.16/0.31  % CPUTime  : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  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
% 7.59/1.60  % SZS status Started for theBenchmark.p
% 7.59/1.60  % SZS status Theorem for theBenchmark.p
% 7.59/1.60  
% 7.59/1.60  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.59/1.60  
% 7.59/1.60  ------  iProver source info
% 7.59/1.60  
% 7.59/1.60  git: date: 2024-05-02 19:28:25 +0000
% 7.59/1.60  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.59/1.60  git: non_committed_changes: false
% 7.59/1.60  
% 7.59/1.60  ------ Parsing...
% 7.59/1.60  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.59/1.60  
% 7.59/1.60  ------ 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  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.59/1.60  
% 7.59/1.60  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.59/1.60  ------ Proving...
% 7.59/1.60  ------ Problem Properties 
% 7.59/1.60  
% 7.59/1.60  
% 7.59/1.60  clauses                                 765
% 7.59/1.60  conjectures                             1
% 7.59/1.60  EPR                                     719
% 7.59/1.60  Horn                                    765
% 7.59/1.60  unary                                   273
% 7.59/1.60  binary                                  456
% 7.59/1.60  lits                                    1293
% 7.59/1.60  lits eq                                 0
% 7.59/1.60  fd_pure                                 0
% 7.59/1.60  fd_pseudo                               0
% 7.59/1.60  fd_cond                                 0
% 7.59/1.60  fd_pseudo_cond                          0
% 7.59/1.60  AC symbols                              0
% 7.59/1.60  
% 7.59/1.60  ------ Schedule dynamic 5 is on 
% 7.59/1.60  
% 7.59/1.60  ------ no equalities: superposition off 
% 7.59/1.60  
% 7.59/1.60  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.59/1.60  
% 7.59/1.60  
% 7.59/1.60  ------ 
% 7.59/1.60  Current options:
% 7.59/1.60  ------ 
% 7.59/1.60  
% 7.59/1.60  
% 7.59/1.60  
% 7.59/1.60  
% 7.59/1.60  ------ Proving...
% 7.59/1.60  
% 7.59/1.60  
% 7.59/1.60  % SZS status Theorem for theBenchmark.p
% 7.59/1.60  
% 7.59/1.60  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.59/1.60  
% 7.59/1.62  
%------------------------------------------------------------------------------