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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV379+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n016.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 03:17:30 PM UTC 2026

% Result   : Theorem 8.28s 1.74s
% Output   : CNFRefutation 8.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   66 (  18 unt;   0 def)
%            Number of atoms       :  161 (  70 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  146 (  51   ~;  69   |;  14   &)
%                                         (   2 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :  152 (   3 sgn 149   !;   3   ?;  60   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | less_than(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',totality) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
    <=> ( ~ less_than(X1,X0)
        & less_than(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( ok(triple(X0,X1,bad))
    <=> $false ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax40) ).

fof(f29,axiom,
    ! [X0,X1,X2] :
      ( ~ ok(triple(X0,X1,X2))
     => X2 = bad ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax41) ).

fof(f34,axiom,
    ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax46) ).

fof(f35,axiom,
    ! [X0,X1,X2,X3] :
      ( ( ~ contains_slb(X1,findmin_pqp_res(X0))
        & X1 != create_slb )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax47) ).

fof(f36,axiom,
    ! [X0,X1,X2,X3] :
      ( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
        & contains_slb(X1,findmin_pqp_res(X0))
        & X1 != create_slb )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax48) ).

fof(f37,axiom,
    ! [X0,X1,X2,X3] :
      ( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
        & contains_slb(X1,findmin_pqp_res(X0))
        & X1 != create_slb )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax49) ).

fof(f42,conjecture,
    ! [X0,X1,X2] :
      ( ~ ok(triple(X0,X1,X2))
     => ~ ok(findmin_cpq_eff(triple(X0,X1,X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l15_co) ).

fof(f43,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ~ ok(triple(X0,X1,X2))
       => ~ ok(findmin_cpq_eff(triple(X0,X1,X2))) ),
    inference(negated_conjecture,[status(cth)],[f42]) ).

fof(f46,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(true_and_false_elimination,[],[f28]) ).

fof(f47,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(flattening,[],[f46]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ( ~ contains_slb(X1,findmin_pqp_res(X0))
        & X1 != create_slb )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(rectify,[],[f35]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
        & contains_slb(X1,findmin_pqp_res(X0))
        & X1 != create_slb )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(rectify,[],[f36]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
        & contains_slb(X1,findmin_pqp_res(X0))
        & X1 != create_slb )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
    inference(rectify,[],[f37]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( ~ less_than(X1,X0)
        & less_than(X0,X1) )
     => strictly_less_than(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | ~ less_than(X0,X1)
      | strictly_less_than(X0,X1) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | ~ less_than(X0,X1)
      | strictly_less_than(X0,X1) ),
    inference(flattening,[],[f55]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( ok(triple(X0,X1,X2))
      | X2 = bad ),
    inference(ennf_transformation,[],[f29]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(flattening,[],[f75]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(flattening,[],[f77]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
    inference(flattening,[],[f79]) ).

fof(f82,plain,
    ? [X0,X1,X2] :
      ( ~ ok(triple(X0,X1,X2))
      & ok(findmin_cpq_eff(triple(X0,X1,X2))) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f89,plain,
    ( ~ ok(triple(sK0,sK1,sK2))
    & ok(findmin_cpq_eff(triple(sK0,sK1,sK2))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f82]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | less_than(X0,X1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | ~ less_than(X0,X1)
      | strictly_less_than(X0,X1) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f124,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f47]) ).

fof(f125,plain,
    ! [X2,X0,X1] :
      ( ok(triple(X0,X1,X2))
      | bad = X2 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f130,plain,
    ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
    inference(cnf_transformation,[],[f34]) ).

fof(f131,plain,
    ! [X2,X0,X1] :
      ( contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f132,plain,
    ! [X2,X0,X1] :
      ( ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f133,plain,
    ! [X2,X0,X1] :
      ( ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f138,plain,
    ~ ok(triple(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f89]) ).

fof(f139,plain,
    ok(findmin_cpq_eff(triple(sK0,sK1,sK2))),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] :
      ( less_than(X1,X0)
      | less_than(X0,X1) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_83,plain,
    ! [X0: $i,X1: $i] : ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_84,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ok(triple(X1,X2,X0))
      | ( X0 = bad ) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_89,plain,
    ! [X0: $i,X1: $i] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_90,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( contains_slb(X1,findmin_pqp_res(X0))
      | ( X1 = create_slb )
      | ( triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) = findmin_cpq_eff(triple(X0,X1,X2)) ) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_91,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = create_slb )
      | ( triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) = findmin_cpq_eff(triple(X0,X1,X2)) )
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_92,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = create_slb )
      | ( triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2) = findmin_cpq_eff(triple(X1,X0,X2)) )
      | ~ contains_slb(X0,findmin_pqp_res(X1))
      | ~ less_than(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1)) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_95,negated_conjecture,
    ok(findmin_cpq_eff(triple(sK0,sK1,sK2))),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_96,negated_conjecture,
    ~ ok(triple(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_130,plain,
    ! [X0: $i,X1: $i] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_52,c_50,c_52]) ).

tcf(c_131,plain,
    ! [X0: $i,X1: $i] :
      ( strictly_less_than(X1,X0)
      | less_than(X0,X1) ),
    inference(renaming,[status(thm)],[c_130]) ).

tcf(c_132,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = create_slb )
      | ( triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) = findmin_cpq_eff(triple(X0,X1,X2)) )
      | ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_91,c_90,c_91]) ).

tcf(c_417,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( less_than(X2,X3)
      | ( X0 = create_slb )
      | ( triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad) = findmin_cpq_eff(triple(X1,X0,X4)) )
      | ( findmin_pqp_res(X1) != X3 )
      | ( lookup_slb(X0,findmin_pqp_res(X1)) != X2 ) ),
    inference(resolution_lifted,[status(thm)],[c_132,c_131]) ).

tcf(c_418,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
      | ( X1 = create_slb )
      | ( triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) = findmin_cpq_eff(triple(X0,X1,X2)) ) ),
    inference(unflattening,[status(thm)],[c_417]) ).

tcf(c_1199,plain,
    bad = sK2,
    inference(superposition,[status(thm)],[c_84,c_96]) ).

tcf(c_1200,plain,
    ! [X0: $i,X1: $i] : ~ ok(triple(X0,X1,sK2)),
    inference(superposition,[status(thm)],[c_1199,c_83]) ).

tcf(c_1203,plain,
    ! [X0: $i,X1: $i] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,sK2),
    inference(demodulation,[status(thm)],[c_89,c_1199]) ).

tcf(c_1205,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( contains_slb(X1,findmin_pqp_res(X0))
      | ( X1 = create_slb )
      | ( triple(X0,update_slb(X1,findmin_pqp_res(X0)),sK2) = findmin_cpq_eff(triple(X0,X1,X2)) ) ),
    inference(demodulation,[status(thm)],[c_90,c_1199]) ).

tcf(c_1216,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
      | ( X1 = create_slb )
      | ( triple(X0,update_slb(X1,findmin_pqp_res(X0)),sK2) = findmin_cpq_eff(triple(X0,X1,X2)) ) ),
    inference(demodulation,[status(thm)],[c_418,c_1199]) ).

tcf(c_1219,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = create_slb )
      | ( triple(X1,update_slb(X0,findmin_pqp_res(X1)),sK2) = findmin_cpq_eff(triple(X1,X0,X3)) )
      | ( triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2) = findmin_cpq_eff(triple(X1,X0,X2)) )
      | ~ contains_slb(X0,findmin_pqp_res(X1)) ),
    inference(superposition,[status(thm)],[c_1216,c_92]) ).

tcf(c_1228,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = create_slb )
      | ( triple(X0,update_slb(X1,findmin_pqp_res(X0)),sK2) = findmin_cpq_eff(triple(X0,X1,X3)) )
      | ( triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) = findmin_cpq_eff(triple(X0,X1,X2)) ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1219,c_1205]) ).

tcf(c_1290,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = create_slb )
      | ( triple(X0,update_slb(X1,findmin_pqp_res(X0)),X3) = findmin_cpq_eff(triple(X0,X1,X3)) )
      | ~ ok(findmin_cpq_eff(triple(X0,X1,X2))) ),
    inference(superposition,[status(thm)],[c_1228,c_1200]) ).

tcf(c_1398,plain,
    ! [X0: $i] :
      ( ( create_slb = sK1 )
      | ( triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),X0) = findmin_cpq_eff(triple(sK0,sK1,X0)) ) ),
    inference(superposition,[status(thm)],[c_95,c_1290]) ).

tcf(c_1453,plain,
    ( ( create_slb = sK1 )
    | ~ ok(findmin_cpq_eff(triple(sK0,sK1,sK2))) ),
    inference(superposition,[status(thm)],[c_1398,c_1200]) ).

tcf(c_1457,plain,
    create_slb = sK1,
    inference(global_subsumption_just,[status(thm)],[c_1453,c_95,c_1453]) ).

tcf(c_1473,plain,
    ! [X0: $i,X1: $i] : findmin_cpq_eff(triple(X0,sK1,X1)) = triple(X0,sK1,sK2),
    inference(superposition,[status(thm)],[c_1457,c_1203]) ).

tcf(c_1557,plain,
    ok(triple(sK0,sK1,sK2)),
    inference(superposition,[status(thm)],[c_1473,c_95]) ).

tcf(c_1562,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1557,c_96]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV379+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35  % Computer : n016.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Thu Sep 24 19:29:57 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39  Running first-order theorem proving
% 0.12/0.39  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
% 0.12/0.40  
% 0.12/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40  
% 0.12/0.40  % Detected problem language: tptp
% 0.12/0.41  % Proving...
% 8.28/1.74  % SZS status Started for theBenchmark.p
% 8.28/1.74  % SZS status Theorem for theBenchmark.p
% 8.28/1.74  
% 8.28/1.74  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.28/1.74  
% 8.28/1.74  % ------  iProver source info
% 8.28/1.74  
% 8.28/1.74  % git: date: 2026-07-19 20:42:38 +0200
% 8.28/1.74  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.28/1.74  % git: non_committed_changes: false
% 8.28/1.74  
% 8.28/1.74  % ------ Parsing...
% 8.28/1.74  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 8.28/1.74  
% 8.28/1.74  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 7 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e % 
% 8.28/1.74  
% 8.28/1.74  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 8.28/1.74  
% 8.28/1.74  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 8.28/1.74  % ------ Proving...
% 8.28/1.74  % ------ Problem Properties 
% 8.28/1.74  
% 8.28/1.74  % 
% 8.28/1.74  % clauses                               41
% 8.28/1.74  % conjectures                           2
% 8.28/1.74  % EPR                                   6
% 8.28/1.74  % Horn                                  27
% 8.28/1.74  % unary                                 17
% 8.28/1.74  % binary                                12
% 8.28/1.74  % lits                                  78
% 8.28/1.74  % lits eq                               28
% 8.28/1.74  % fd_pure                               0
% 8.28/1.74  % fd_pseudo                             0
% 8.28/1.74  % fd_cond                               5
% 8.28/1.74  % fd_pseudo_cond                        5
% 8.28/1.74  % AC symbols                            0
% 8.28/1.74  
% 8.28/1.74  % ------ Input Options Time Limit: Unbounded
% 8.28/1.74  
% 8.28/1.74  
% 8.28/1.74  % ------ 
% 8.28/1.74  % Current options:
% 8.28/1.74  % ------ 
% 8.28/1.74  
% 8.28/1.74  
% 8.28/1.74  % 
% 8.28/1.74  
% 8.28/1.74  % ------ Proving...
% 8.28/1.74  % 
% 8.28/1.74  
% 8.28/1.74  % SZS status Theorem for theBenchmark.p
% 8.28/1.74  
% 8.28/1.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.28/1.74  
% 8.28/1.74  
%------------------------------------------------------------------------------