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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : CSR070+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:10:27 PM UTC 2026

% Result   : Theorem 2.73s 0.97s
% Output   : CNFRefutation 2.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   42 (  13 unt;   0 def)
%            Number of atoms       :   76 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   62 (  28   ~;  24   |;   2   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            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   :   42 (   0 sgn  42   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f139,axiom,
    ! [X0,X1] :
      ( tptptypes_7_819(X0,X1)
     => tptptypes_6_818(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',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/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_178) ).

fof(f271,axiom,
    ! [X0,X1] :
      ( tptptypes_8_823(X0,X1)
     => tptptypes_7_819(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_271) ).

fof(f350,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_350) ).

fof(f416,axiom,
    ! [X0,X1] :
      ( tptptypes_6_818(X0,X1)
     => tptptypes_5_802(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_416) ).

fof(f427,axiom,
    ! [X0,X1] :
      ( tptptypes_9_824(X0,X1)
     => tptptypes_8_823(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_427) ).

fof(f1123,axiom,
    ! [X0,X1] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',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/sandbox2/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,[status(cth)],[f1132]) ).

fof(f1291,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_819(X0,X1)
      | tptptypes_6_818(X0,X1) ),
    inference(ennf_transformation,[],[f139]) ).

fof(f1313,plain,
    ( ~ mtvisible(c_tptp_member2668_mt)
    | tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(ennf_transformation,[],[f178]) ).

fof(f1354,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_823(X0,X1)
      | tptptypes_7_819(X0,X1) ),
    inference(ennf_transformation,[],[f271]) ).

fof(f1421,plain,
    ! [X0,X1] :
      ( ~ tptptypes_6_818(X0,X1)
      | tptptypes_5_802(X0,X1) ),
    inference(ennf_transformation,[],[f416]) ).

fof(f1426,plain,
    ! [X0,X1] :
      ( ~ tptptypes_9_824(X0,X1)
      | tptptypes_8_823(X0,X1) ),
    inference(ennf_transformation,[],[f427]) ).

fof(f2012,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(ennf_transformation,[],[f1123]) ).

fof(f2013,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(flattening,[],[f2012]) ).

fof(f2022,plain,
    ( mtvisible(c_tptp_spindlecollectormt)
    & ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f2160,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_819(X0,X1)
      | tptptypes_6_818(X0,X1) ),
    inference(cnf_transformation,[],[f1291]) ).

fof(f2199,plain,
    ( ~ mtvisible(c_tptp_member2668_mt)
    | tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(cnf_transformation,[],[f1313]) ).

fof(f2292,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_823(X0,X1)
      | tptptypes_7_819(X0,X1) ),
    inference(cnf_transformation,[],[f1354]) ).

fof(f2370,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(cnf_transformation,[],[f350]) ).

fof(f2436,plain,
    ! [X0,X1] :
      ( ~ tptptypes_6_818(X0,X1)
      | tptptypes_5_802(X0,X1) ),
    inference(cnf_transformation,[],[f1421]) ).

fof(f2447,plain,
    ! [X0,X1] :
      ( ~ tptptypes_9_824(X0,X1)
      | tptptypes_8_823(X0,X1) ),
    inference(cnf_transformation,[],[f1426]) ).

fof(f3053,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(cnf_transformation,[],[f2013]) ).

fof(f3062,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[],[f2022]) ).

fof(f3063,plain,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(cnf_transformation,[],[f2022]) ).

tcf(c_186,plain,
    ! [X0: $i,X1: $i] :
      ( tptptypes_6_818(X0,X1)
      | ~ tptptypes_7_819(X0,X1) ),
    inference(cnf_transformation,[],[f2160]) ).

tcf(c_225,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(cnf_transformation,[],[f2199]) ).

tcf(c_318,plain,
    ! [X0: $i,X1: $i] :
      ( tptptypes_7_819(X0,X1)
      | ~ tptptypes_8_823(X0,X1) ),
    inference(cnf_transformation,[],[f2292]) ).

tcf(c_396,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(cnf_transformation,[],[f2370]) ).

tcf(c_462,plain,
    ! [X0: $i,X1: $i] :
      ( tptptypes_5_802(X0,X1)
      | ~ tptptypes_6_818(X0,X1) ),
    inference(cnf_transformation,[],[f2436]) ).

tcf(c_473,plain,
    ! [X0: $i,X1: $i] :
      ( tptptypes_8_823(X0,X1)
      | ~ tptptypes_9_824(X0,X1) ),
    inference(cnf_transformation,[],[f2447]) ).

tcf(c_1079,plain,
    ! [X0: $i,X1: $i] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[],[f3053]) ).

tcf(c_1088,negated_conjecture,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(cnf_transformation,[],[f3063]) ).

tcf(c_1089,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[],[f3062]) ).

tcf(c_1522,plain,
    ( mtvisible(c_tptp_member2668_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt) ),
    inference(superposition,[status(thm)],[c_396,c_1079]) ).

tcf(c_1897,plain,
    tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(global_subsumption_just,[status(thm)],[c_225,c_1089,c_225,c_1522]) ).

tcf(c_1899,plain,
    tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(superposition,[status(thm)],[c_1897,c_473]) ).

tcf(c_1934,plain,
    tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(superposition,[status(thm)],[c_1899,c_318]) ).

tcf(c_1941,plain,
    tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(superposition,[status(thm)],[c_1934,c_186]) ).

tcf(c_1942,plain,
    tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(superposition,[status(thm)],[c_1941,c_462]) ).

tcf(c_1945,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_1088,c_1942]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR070+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.30  % Computer : n012.cluster.edu
% 0.03/0.30  % Model    : x86_64 x86_64
% 0.03/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30  % Memory   : 8046.5625MB
% 0.03/0.30  % OS       : Linux 6.8.0-71-generic
% 0.03/0.30  % CPULimit : 300
% 0.03/0.30  % WCLimit  : 300
% 0.03/0.30  % DateTime : Fri Sep 25 08:54:35 UTC 2026
% 0.03/0.31  % CPUTime  : 
% 0.03/0.31  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.33  Running first-order theorem proving
% 0.03/0.33  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.33  
% 0.07/0.33  % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33  
% 0.07/0.33  % Detected problem language: tptp
% 0.07/0.34  % Proving...
% 2.73/0.97  % SZS status Started for theBenchmark.p
% 2.73/0.97  % SZS status Theorem for theBenchmark.p
% 2.73/0.97  
% 2.73/0.97  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.73/0.97  
% 2.73/0.97  % ------  iProver source info
% 2.73/0.97  
% 2.73/0.97  % git: date: 2026-07-19 20:42:38 +0200
% 2.73/0.97  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.73/0.97  % git: non_committed_changes: false
% 2.73/0.97  
% 2.73/0.97  % ------ Parsing...
% 2.73/0.97  % ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.73/0.97  % ------ Proving...
% 2.73/0.97  % ------ Problem Properties 
% 2.73/0.97  
% 2.73/0.97  % 
% 2.73/0.97  % clauses                               1041
% 2.73/0.97  % conjectures                           2
% 2.73/0.97  % EPR                                   979
% 2.73/0.97  % Horn                                  1041
% 2.73/0.97  % unary                                 288
% 2.73/0.97  % binary                                709
% 2.73/0.97  % lits                                  1838
% 2.73/0.97  % lits eq                               0
% 2.73/0.97  % fd_pure                               0
% 2.73/0.97  % fd_pseudo                             0
% 2.73/0.97  % fd_cond                               0
% 2.73/0.97  % fd_pseudo_cond                        0
% 2.73/0.97  % AC symbols                            0
% 2.73/0.97  
% 2.73/0.97  % ------ Input Options Time Limit: Unbounded
% 2.73/0.97  
% 2.73/0.97  
% 2.73/0.97  % ------ 
% 2.73/0.97  % Current options:
% 2.73/0.97  % ------ 
% 2.73/0.97  
% 2.73/0.97  
% 2.73/0.97  % 
% 2.73/0.97  
% 2.73/0.97  % ------ Proving...
% 2.73/0.97  % 
% 2.73/0.97  
% 2.73/0.97  % ------ Proving...
% 2.73/0.97  % 
% 2.73/0.97  
% 2.73/0.97  % ------ Proving...
% 2.73/0.97  % 
% 2.73/0.97  
% 2.73/0.97  % ------ Proving...
% 2.73/0.97  % 
% 2.73/0.97  
% 2.73/0.97  % ------ Proving...
% 2.73/0.97  % 
% 2.73/0.97  
% 2.73/0.97  % ------ Proving...
% 2.73/0.97  % 
% 2.73/0.97  
% 2.73/0.97  % ------ Proving...
% 2.73/0.97  % 
% 2.73/0.97  
% 2.73/0.97  % ------ Proving...
% 2.73/0.97  % 
% 2.73/0.97  
% 2.73/0.97  % ------ Proving...
% 2.73/0.97  % 
% 2.73/0.97  
% 2.73/0.97  % ------ Proving...
% 2.73/0.97  % 
% 2.73/0.97  
% 2.73/0.97  % ------ Proving...
% 2.73/0.97  % 
% 2.73/0.97  
% 2.73/0.97  % SZS status Theorem for theBenchmark.p
% 2.73/0.97  
% 2.73/0.97  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.73/0.98  
% 2.73/0.98  
%------------------------------------------------------------------------------