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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU309+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n011.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 02:56:35 PM UTC 2026

% Result   : Theorem 9.65s 2.26s
% Output   : CNFRefutation 9.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   86 (  34 unt;   4 def)
%            Number of atoms       :  242 (  64 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  157 (  72   ~;  64   |;   8   &)
%                                         (   1 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-3 aty)
%            Number of variables   :  119 (   1 sgn 117   !;   2   ?;  37   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,axiom,
    ! [X0,X1,X2] :
      ( ( element(X2,powerset(X0))
        & element(X1,powerset(X0)) )
     => subset_intersection2(X0,X1,X2) = subset_intersection2(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k5_subset_1) ).

fof(f19,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => cast_as_carrier_subset(X0) = the_carrier(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).

fof(f26,axiom,
    ! [X0,X1,X2] :
      ( ( element(X2,powerset(X0))
        & element(X1,powerset(X0)) )
     => element(subset_difference(X0,X1,X2),powerset(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_subset_1) ).

fof(f54,axiom,
    ! [X0,X1,X2] :
      ( ( element(X2,powerset(X0))
        & element(X1,powerset(X0)) )
     => subset_intersection2(X0,X1,X2) = set_intersection2(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).

fof(f55,axiom,
    ! [X0,X1,X2] :
      ( ( element(X2,powerset(X0))
        & element(X1,powerset(X0)) )
     => subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_subset_1) ).

fof(f56,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f57,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => ! [X1] :
          ( element(X1,powerset(the_carrier(X0)))
         => subset_intersection2(the_carrier(X0),X1,cast_as_carrier_subset(X0)) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_pre_topc) ).

fof(f59,conjecture,
    ! [X0] :
      ( one_sorted_str(X0)
     => ! [X1] :
          ( element(X1,powerset(the_carrier(X0)))
         => subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1)) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_pre_topc) ).

fof(f60,negated_conjecture,
    ~ ! [X0] :
        ( one_sorted_str(X0)
       => ! [X1] :
            ( element(X1,powerset(the_carrier(X0)))
           => subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1)) = X1 ) ),
    inference(negated_conjecture,[status(cth)],[f59]) ).

fof(f64,axiom,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).

fof(f65,axiom,
    ! [X0,X1] : set_difference(X0,set_difference(X0,X1)) = set_intersection2(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).

fof(f73,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f56]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
     => element(X0,powerset(X1)) ),
    inference(unused_predicate_definition_removal,[],[f64]) ).

fof(f101,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | subset_intersection2(X0,X1,X2) = subset_intersection2(X0,X2,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f102,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | subset_intersection2(X0,X1,X2) = subset_intersection2(X0,X2,X1) ),
    inference(flattening,[],[f101]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | cast_as_carrier_subset(X0) = the_carrier(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f107,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | element(subset_difference(X0,X1,X2),powerset(X0)) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f108,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | element(subset_difference(X0,X1,X2),powerset(X0)) ),
    inference(flattening,[],[f107]) ).

fof(f127,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | subset_intersection2(X0,X1,X2) = set_intersection2(X1,X2) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f128,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | subset_intersection2(X0,X1,X2) = set_intersection2(X1,X2) ),
    inference(flattening,[],[f127]) ).

fof(f129,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f130,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
    inference(flattening,[],[f129]) ).

fof(f131,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | ! [X1] :
          ( ~ element(X1,powerset(the_carrier(X0)))
          | subset_intersection2(the_carrier(X0),X1,cast_as_carrier_subset(X0)) = X1 ) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f133,plain,
    ? [X0] :
      ( one_sorted_str(X0)
      & ? [X1] :
          ( element(X1,powerset(the_carrier(X0)))
          & subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1)) != X1 ) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | element(X0,powerset(X1)) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f148,plain,
    ( one_sorted_str(sK5)
    & element(sK6,powerset(the_carrier(sK5)))
    & sK6 != subset_difference(the_carrier(sK5),cast_as_carrier_subset(sK5),subset_difference(the_carrier(sK5),cast_as_carrier_subset(sK5),sK6)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X0,sK5),skolemize(X1,sK6)],[f133]) ).

fof(f175,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | subset_intersection2(X0,X1,X2) = subset_intersection2(X0,X2,X1) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f176,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | cast_as_carrier_subset(X0) = the_carrier(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f179,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | element(subset_difference(X0,X1,X2),powerset(X0)) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f246,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | subset_intersection2(X0,X1,X2) = set_intersection2(X1,X2) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f247,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f248,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f73]) ).

fof(f249,plain,
    ! [X0,X1] :
      ( ~ one_sorted_str(X0)
      | ~ element(X1,powerset(the_carrier(X0)))
      | subset_intersection2(the_carrier(X0),X1,cast_as_carrier_subset(X0)) = X1 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f251,plain,
    one_sorted_str(sK5),
    inference(cnf_transformation,[],[f148]) ).

fof(f252,plain,
    element(sK6,powerset(the_carrier(sK5))),
    inference(cnf_transformation,[],[f148]) ).

fof(f253,plain,
    sK6 != subset_difference(the_carrier(sK5),cast_as_carrier_subset(sK5),subset_difference(the_carrier(sK5),cast_as_carrier_subset(sK5),sK6)),
    inference(cnf_transformation,[],[f148]) ).

fof(f257,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f258,plain,
    ! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
    inference(cnf_transformation,[],[f65]) ).

fof(f297,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | subset_intersection2(X0,X1,X2) = set_difference(X1,set_difference(X1,X2)) ),
    inference(definition_unfolding,[],[f246,f258]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset_intersection2(X1,X0,X2) = subset_intersection2(X1,X2,X0) )
      | ~ element(X2,powerset(X1))
      | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_76,plain,
    ! [X0: $i] :
      ( ( cast_as_carrier_subset(X0) = the_carrier(X0) )
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_79,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( element(subset_difference(X1,X0,X2),powerset(X1))
      | ~ element(X2,powerset(X1))
      | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_146,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( set_difference(X0,set_difference(X0,X2)) = subset_intersection2(X1,X0,X2) )
      | ~ element(X2,powerset(X1))
      | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f297]) ).

tcf(c_147,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset_difference(X1,X0,X2) = set_difference(X0,X2) )
      | ~ element(X2,powerset(X1))
      | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f247]) ).

tcf(c_148,plain,
    ! [X0: $i] : subset(X0,X0),
    inference(cnf_transformation,[],[f248]) ).

tcf(c_149,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset_intersection2(the_carrier(X1),X0,cast_as_carrier_subset(X1)) = X0 )
      | ~ one_sorted_str(X1)
      | ~ element(X0,powerset(the_carrier(X1))) ),
    inference(cnf_transformation,[],[f249]) ).

tcf(c_151,negated_conjecture,
    subset_difference(the_carrier(sK5),cast_as_carrier_subset(sK5),subset_difference(the_carrier(sK5),cast_as_carrier_subset(sK5),sK6)) != sK6,
    inference(cnf_transformation,[],[f253]) ).

tcf(c_152,negated_conjecture,
    element(sK6,powerset(the_carrier(sK5))),
    inference(cnf_transformation,[],[f252]) ).

tcf(c_153,negated_conjecture,
    one_sorted_str(sK5),
    inference(cnf_transformation,[],[f251]) ).

tcf(c_157,plain,
    ! [X0: $i,X1: $i] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f257]) ).

tcf(c_981,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( element(X1,powerset(X2))
      | ( X0 != X2 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_148,c_157]) ).

tcf(c_982,plain,
    ! [X0: $i] : element(X0,powerset(X0)),
    inference(unflattening,[status(thm)],[c_981]) ).

tcf(c_997,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset_intersection2(the_carrier(X0),X1,cast_as_carrier_subset(X0)) = X1 )
      | ~ element(X1,powerset(the_carrier(X0)))
      | ( X0 != sK5 ) ),
    inference(resolution_lifted,[status(thm)],[c_149,c_153]) ).

tcf(c_998,plain,
    ! [X0: $i] :
      ( ( subset_intersection2(the_carrier(sK5),X0,cast_as_carrier_subset(sK5)) = X0 )
      | ~ element(X0,powerset(the_carrier(sK5))) ),
    inference(unflattening,[status(thm)],[c_997]) ).

tcf(c_1021,plain,
    ! [X0: $i] :
      ( ( cast_as_carrier_subset(X0) = the_carrier(X0) )
      | ( X0 != sK5 ) ),
    inference(resolution_lifted,[status(thm)],[c_76,c_153]) ).

tcf(c_1022,plain,
    cast_as_carrier_subset(sK5) = the_carrier(sK5),
    inference(unflattening,[status(thm)],[c_1021]) ).

tcf(c_1208,plain,
    ! [X0: $i] :
      ( ( subset_intersection2(the_carrier(sK5),X0,the_carrier(sK5)) = X0 )
      | ~ element(X0,powerset(the_carrier(sK5))) ),
    inference(light_normalisation,[status(thm)],[c_998,c_1022]) ).

tcf(c_1222,plain,
    subset_difference(the_carrier(sK5),the_carrier(sK5),subset_difference(the_carrier(sK5),the_carrier(sK5),sK6)) != sK6,
    inference(light_normalisation,[status(thm)],[c_151,c_1022]) ).

tcf(c_1495,definition,
    iPr_def_10 = the_carrier(sK5),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_1496,definition,
    iPr_def_11 = subset_difference(iPr_def_10,iPr_def_10,sK6),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_1497,definition,
    iPr_def_12 = subset_difference(iPr_def_10,iPr_def_10,iPr_def_11),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_1498,definition,
    iPr_def_13 = powerset(iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_1500,plain,
    iPr_def_12 != sK6,
    inference(demodulation,[status(thm)],[c_1222,c_1496,c_1495,c_1497]) ).

tcf(c_1501,plain,
    ! [X0: $i] :
      ( ( subset_intersection2(iPr_def_10,X0,iPr_def_10) = X0 )
      | ~ element(X0,iPr_def_13) ),
    inference(demodulation,[status(thm)],[c_1208,c_1498]) ).

tcf(c_1503,negated_conjecture,
    element(sK6,iPr_def_13),
    inference(demodulation,[status(thm)],[c_152]) ).

tcf(c_1900,plain,
    subset_intersection2(iPr_def_10,sK6,iPr_def_10) = sK6,
    inference(superposition,[status(thm)],[c_1503,c_1501]) ).

tcf(c_1902,plain,
    element(iPr_def_10,iPr_def_13),
    inference(superposition,[status(thm)],[c_1498,c_982]) ).

tcf(c_2156,plain,
    ( element(iPr_def_11,powerset(iPr_def_10))
    | ~ element(iPr_def_10,powerset(iPr_def_10))
    | ~ element(sK6,powerset(iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_1496,c_79]) ).

tcf(c_2167,plain,
    ( element(iPr_def_11,iPr_def_13)
    | ~ element(iPr_def_10,iPr_def_13)
    | ~ element(sK6,iPr_def_13) ),
    inference(light_normalisation,[status(thm)],[c_2156,c_1498]) ).

tcf(c_2168,plain,
    element(iPr_def_11,iPr_def_13),
    inference(forward_subsumption_resolution,[status(thm)],[c_2167,c_1902,c_1503]) ).

tcf(c_2255,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset_difference(X1,X1,X0) = set_difference(X1,X0) )
      | ~ element(X0,powerset(X1)) ),
    inference(superposition,[status(thm)],[c_982,c_147]) ).

tcf(c_2369,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset_intersection2(X1,X0,X1) = subset_intersection2(X1,X1,X0) )
      | ~ element(X0,powerset(X1)) ),
    inference(superposition,[status(thm)],[c_982,c_75]) ).

tcf(c_2407,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_difference(X1,set_difference(X1,X0)) = subset_intersection2(X1,X1,X0) )
      | ~ element(X0,powerset(X1)) ),
    inference(superposition,[status(thm)],[c_982,c_146]) ).

tcf(c_4689,plain,
    ! [X0: $i] :
      ( ( subset_difference(iPr_def_10,iPr_def_10,X0) = set_difference(iPr_def_10,X0) )
      | ~ element(X0,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_1498,c_2255]) ).

tcf(c_5634,plain,
    subset_difference(iPr_def_10,iPr_def_10,sK6) = set_difference(iPr_def_10,sK6),
    inference(superposition,[status(thm)],[c_1503,c_4689]) ).

tcf(c_5640,plain,
    subset_difference(iPr_def_10,iPr_def_10,iPr_def_11) = set_difference(iPr_def_10,iPr_def_11),
    inference(superposition,[status(thm)],[c_2168,c_4689]) ).

tcf(c_5644,plain,
    set_difference(iPr_def_10,iPr_def_11) = iPr_def_12,
    inference(light_normalisation,[status(thm)],[c_5640,c_1497]) ).

tcf(c_5645,plain,
    set_difference(iPr_def_10,sK6) = iPr_def_11,
    inference(light_normalisation,[status(thm)],[c_5634,c_1496]) ).

tcf(c_10755,plain,
    ! [X0: $i] :
      ( ( subset_intersection2(iPr_def_10,X0,iPr_def_10) = subset_intersection2(iPr_def_10,iPr_def_10,X0) )
      | ~ element(X0,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_1498,c_2369]) ).

tcf(c_11789,plain,
    subset_intersection2(iPr_def_10,sK6,iPr_def_10) = subset_intersection2(iPr_def_10,iPr_def_10,sK6),
    inference(superposition,[status(thm)],[c_1503,c_10755]) ).

tcf(c_11804,plain,
    subset_intersection2(iPr_def_10,iPr_def_10,sK6) = sK6,
    inference(light_normalisation,[status(thm)],[c_11789,c_1900]) ).

tcf(c_17049,plain,
    ! [X0: $i] :
      ( ( set_difference(iPr_def_10,set_difference(iPr_def_10,X0)) = subset_intersection2(iPr_def_10,iPr_def_10,X0) )
      | ~ element(X0,iPr_def_13) ),
    inference(superposition,[status(thm)],[c_1498,c_2407]) ).

tcf(c_19911,plain,
    set_difference(iPr_def_10,set_difference(iPr_def_10,sK6)) = subset_intersection2(iPr_def_10,iPr_def_10,sK6),
    inference(superposition,[status(thm)],[c_1503,c_17049]) ).

tcf(c_19926,plain,
    sK6 = iPr_def_12,
    inference(light_normalisation,[status(thm)],[c_19911,c_5644,c_5645,c_11804]) ).

tcf(c_20178,plain,
    iPr_def_12 != iPr_def_12,
    inference(demodulation,[status(thm)],[c_1500,c_19926]) ).

tcf(c_20180,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_20178]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU309+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36  % Computer : n011.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Thu Sep 24 13:38:27 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.40  Running first-order theorem proving
% 0.08/0.40  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
% 0.08/0.41  
% 0.08/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41  
% 0.08/0.41  % Detected problem language: tptp
% 0.08/0.42  % Proving...
% 9.65/2.26  % SZS status Started for theBenchmark.p
% 9.65/2.26  % SZS status Theorem for theBenchmark.p
% 9.65/2.26  
% 9.65/2.26  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.65/2.26  
% 9.65/2.26  % ------  iProver source info
% 9.65/2.26  
% 9.65/2.26  % git: date: 2026-07-19 20:42:38 +0200
% 9.65/2.26  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.65/2.26  % git: non_committed_changes: false
% 9.65/2.26  
% 9.65/2.26  % ------ Parsing...
% 9.65/2.26  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 9.65/2.26  
% 9.65/2.26  % ------ Preprocessing... sup_sim: 2  sf_s  rm: 70 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 5  sf_s  rm: 7 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 7 0s  sf_e  pe_s  pe_e % 
% 9.65/2.26  
% 9.65/2.26  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 9.65/2.26  
% 9.65/2.26  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 9.65/2.26  % ------ Proving...
% 9.65/2.26  % ------ Problem Properties 
% 9.65/2.26  
% 9.65/2.26  % 
% 9.65/2.26  % clauses                               38
% 9.65/2.26  % conjectures                           1
% 9.65/2.26  % EPR                                   11
% 9.65/2.26  % Horn                                  36
% 9.65/2.26  % unary                                 20
% 9.65/2.26  % binary                                8
% 9.65/2.26  % lits                                  66
% 9.65/2.26  % lits eq                               20
% 9.65/2.26  % fd_pure                               0
% 9.65/2.26  % fd_pseudo                             0
% 9.65/2.26  % fd_cond                               1
% 9.65/2.26  % fd_pseudo_cond                        1
% 9.65/2.26  % AC symbols                            0
% 9.65/2.26  
% 9.65/2.26  % ------ Schedule dynamic 5 is on 
% 9.65/2.26  
% 9.65/2.26  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.65/2.26  
% 9.65/2.26  
% 9.65/2.26  % ------ 
% 9.65/2.26  % Current options:
% 9.65/2.26  % ------ 
% 9.65/2.26  
% 9.65/2.26  
% 9.65/2.26  % 
% 9.65/2.26  
% 9.65/2.26  % ------ Proving...
% 9.65/2.26  % 
% 9.65/2.26  
% 9.65/2.26  % SZS status Theorem for theBenchmark.p
% 9.65/2.26  
% 9.65/2.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.65/2.26  
% 9.65/2.26  
%------------------------------------------------------------------------------