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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : CSR026+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n005.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 01:09:55 PM UTC 2026

% Result   : Theorem 1.68s 1.27s
% Output   : CNFRefutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   45 (  21 unt;   0 def)
%            Number of atoms       :   79 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   66 (  32   ~;  26   |;   3   &)
%                                         (   0 <=>;   5  =>;   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  :    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  18   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).

fof(f6,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).

fof(f7,axiom,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).

fof(f8,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).

fof(f9,axiom,
    ! [X0] :
      ( ( runningshorts(X0)
        & mtvisible(c_tptp_member2701_mt) )
     => tptpofobject(X0,f_tptpquantityfn_2(n_756)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

fof(f11,axiom,
    ( mtvisible(c_cyclistsmt)
   => runningshorts(c_tptprunningshorts) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).

fof(f48,axiom,
    ! [X0,X1] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).

fof(f57,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query26) ).

fof(f58,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
    inference(negated_conjecture,[status(cth)],[f57]) ).

fof(f79,plain,
    ! [X0] :
      ( ~ runningshorts(X0)
      | ~ mtvisible(c_tptp_member2701_mt)
      | tptpofobject(X0,f_tptpquantityfn_2(n_756)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f80,plain,
    ! [X0] :
      ( ~ runningshorts(X0)
      | ~ mtvisible(c_tptp_member2701_mt)
      | tptpofobject(X0,f_tptpquantityfn_2(n_756)) ),
    inference(flattening,[],[f79]) ).

fof(f81,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | runningshorts(c_tptprunningshorts) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(flattening,[],[f102]) ).

fof(f112,plain,
    ( mtvisible(c_tptp_spindlecollectormt)
    & ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f117,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
    inference(cnf_transformation,[],[f6]) ).

fof(f119,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f7]) ).

fof(f120,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(cnf_transformation,[],[f8]) ).

fof(f121,plain,
    ! [X0] :
      ( ~ runningshorts(X0)
      | ~ mtvisible(c_tptp_member2701_mt)
      | tptpofobject(X0,f_tptpquantityfn_2(n_756)) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f122,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | runningshorts(c_tptprunningshorts) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f149,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[],[f112]) ).

fof(f150,plain,
    ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_53,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_54,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_55,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_56,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_57,plain,
    ! [X0: $i] :
      ( tptpofobject(X0,f_tptpquantityfn_2(n_756))
      | ~ mtvisible(c_tptp_member2701_mt)
      | ~ runningshorts(X0) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_58,plain,
    ( runningshorts(c_tptprunningshorts)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_76,plain,
    ! [X0: $i,X1: $i] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_85,negated_conjecture,
    ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_86,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_106,plain,
    ( runningshorts(c_tptprunningshorts)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(prop_impl_just,[status(thm)],[c_58]) ).

tcf(c_312,plain,
    ( ~ runningshorts(c_tptprunningshorts)
    | ~ mtvisible(c_tptp_member2701_mt) ),
    inference(resolution,[status(thm)],[c_57,c_85]) ).

tcf(c_322,plain,
    ( ~ mtvisible(c_tptp_member2701_mt)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(resolution,[status(thm)],[c_106,c_312]) ).

tcf(c_416,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(demodulation,[status(thm)],[c_86]) ).

tcf(c_421,plain,
    ! [X0: $i] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptp_spindlecollectormt,X0) ),
    inference(resolution,[status(thm)],[c_76,c_416]) ).

tcf(c_423,plain,
    mtvisible(c_tptp_member2701_mt),
    inference(resolution,[status(thm)],[c_421,c_54]) ).

tcf(c_424,plain,
    mtvisible(c_tptp_member3993_mt),
    inference(resolution,[status(thm)],[c_421,c_56]) ).

tcf(c_427,plain,
    ! [X0: $i] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptp_member3993_mt,X0) ),
    inference(resolution,[status(thm)],[c_424,c_76]) ).

tcf(c_429,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(resolution,[status(thm)],[c_427,c_55]) ).

tcf(c_430,plain,
    ! [X0: $i] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptp_spindleheadmt,X0) ),
    inference(resolution,[status(thm)],[c_429,c_76]) ).

tcf(c_431,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt) ),
    inference(instantiation,[status(thm)],[c_430]) ).

tcf(c_432,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_431,c_423,c_322,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR026+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n005.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Fri Sep 25 08:08:47 UTC 2026
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41  
% 0.13/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41  
% 0.13/0.41  % Detected problem language: tptp
% 0.13/0.42  % Proving...
% 1.68/1.27  % SZS status Started for theBenchmark.p
% 1.68/1.27  % SZS status Theorem for theBenchmark.p
% 1.68/1.27  
% 1.68/1.27  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.68/1.27  
% 1.68/1.27  % ------  iProver source info
% 1.68/1.27  
% 1.68/1.27  % git: date: 2026-07-19 20:42:38 +0200
% 1.68/1.27  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.68/1.27  % git: non_committed_changes: false
% 1.68/1.27  
% 1.68/1.27  % ------ Parsing...
% 1.68/1.27  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.68/1.27  
% 1.68/1.27  % ------ Preprocessing... sf_s  rm: 12 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 1.68/1.27  
% 1.68/1.27  % ------ Preprocessing...% ------  preprocesses with Option_epr_horn
% 1.68/1.27   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.68/1.27  % ------ Proving...
% 1.68/1.27  % ------ Problem Properties 
% 1.68/1.27  
% 1.68/1.27  % 
% 1.68/1.27  % clauses                               16
% 1.68/1.27  % conjectures                           1
% 1.68/1.27  % EPR                                   16
% 1.68/1.27  % Horn                                  16
% 1.68/1.27  % unary                                 10
% 1.68/1.27  % binary                                4
% 1.68/1.27  % lits                                  24
% 1.68/1.27  % lits eq                               0
% 1.68/1.27  % fd_pure                               0
% 1.68/1.27  % fd_pseudo                             0
% 1.68/1.27  % fd_cond                               0
% 1.68/1.27  % fd_pseudo_cond                        0
% 1.68/1.27  % AC symbols                            0
% 1.68/1.27  
% 1.68/1.27  % ------ Schedule EPR Horn non eq is on
% 1.68/1.27  
% 1.68/1.27  % ------ no equalities: superposition off 
% 1.68/1.27  
% 1.68/1.27  % ------ Option_epr_horn Time Limit: Unbounded
% 1.68/1.27  
% 1.68/1.27  
% 1.68/1.27  % ------ 
% 1.68/1.27  % Current options:
% 1.68/1.27  % ------ 
% 1.68/1.27  
% 1.68/1.27  
% 1.68/1.27  % 
% 1.68/1.27  
% 1.68/1.27  % ------ Proving...
% 1.68/1.27  % 
% 1.68/1.27  
% 1.68/1.27  % SZS status Theorem for theBenchmark.p
% 1.68/1.27  
% 1.68/1.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.68/1.27  
% 1.68/1.27  
%------------------------------------------------------------------------------