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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC030+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n015.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 03:07:35 PM UTC 2026

% Result   : Theorem 3.81s 1.18s
% Output   : CNFRefutation 3.81s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f548ERROR: Could not build tree for root c_17666ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).

fof(f46,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( frontsegP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax46) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( nil = X1
                        | nil != X0 )
                      & ( nil = X0
                        | nil != X1 ) )
                    | ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(X5,X4) != X2
                              | app(X4,X5) != X3 ) ) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( nil = X1
                          | nil != X0 )
                        & ( nil = X0
                          | nil != X1 ) )
                      | ! [X4] :
                          ( ssList(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ( app(X5,X4) != X2
                                | app(X4,X5) != X3 ) ) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f132,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ssList(app(X0,X1)) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f134,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(ennf_transformation,[],[f28]) ).

fof(f158,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( frontsegP(nil,X0)
      <=> nil = X0 ) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f200,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f201,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    inference(ennf_transformation,[],[f84]) ).

fof(f221,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( ( nil != X1
                      & nil = X0 )
                    | ( nil != X0
                      & nil = X1 ) )
                  & ? [X4] :
                      ( ssList(X4)
                      & ? [X5] :
                          ( ssList(X5)
                          & app(X5,X4) = X2
                          & app(X4,X5) = X3 ) )
                  & X0 = X2
                  & X1 = X3 ) ) ) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( ( nil != X1
                      & nil = X0 )
                    | ( nil != X0
                      & nil = X1 ) )
                  & ? [X4] :
                      ( ssList(X4)
                      & ? [X5] :
                          ( ssList(X5)
                          & app(X5,X4) = X2
                          & app(X4,X5) = X3 ) )
                  & X0 = X2
                  & X1 = X3 ) ) ) ),
    inference(flattening,[],[f221]) ).

fof(f240,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ frontsegP(X0,X1)
              | ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) ) )
            & ( ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) )
              | frontsegP(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f241,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ frontsegP(X0,X1)
              | ? [X3] :
                  ( app(X1,X3) = X0
                  & ssList(X3) ) )
            & ( ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) )
              | frontsegP(X0,X1) ) ) ) ),
    inference(rectify,[],[f240]) ).

fof(f242,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ frontsegP(X0,X1)
              | ( app(X1,sK11(X0,X1)) = X0
                & ssList(sK11(X0,X1)) ) )
            & ( ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) )
              | frontsegP(X0,X1) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1))],[f241]) ).

fof(f283,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( ( ~ frontsegP(nil,X0)
          | nil = X0 )
        & ( nil != X0
          | frontsegP(nil,X0) ) ) ),
    inference(nnf_transformation,[],[f158]) ).

fof(f292,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( nil != app(X0,X1)
              | ( nil = X0
                & nil = X1 ) )
            & ( nil != X0
              | nil != X1
              | nil = app(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f200]) ).

fof(f293,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( nil != app(X0,X1)
              | ( nil = X0
                & nil = X1 ) )
            & ( nil != X0
              | nil != X1
              | nil = app(X0,X1) ) ) ) ),
    inference(flattening,[],[f292]) ).

fof(f296,plain,
    ( ssList(sK53)
    & ssList(sK54)
    & ssList(sK55)
    & ssList(sK56)
    & ( ( nil != sK54
        & nil = sK53 )
      | ( nil != sK53
        & nil = sK54 ) )
    & ssList(sK57)
    & ssList(sK58)
    & sK55 = app(sK58,sK57)
    & sK56 = app(sK57,sK58)
    & sK53 = sK55
    & sK54 = sK56 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57),skolemize(X5,sK58)],[f222]) ).

fof(f311,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,X2) != X0
      | ~ ssList(X2)
      | frontsegP(X0,X1) ),
    inference(cnf_transformation,[],[f242]) ).

fof(f389,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f401,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ssList(app(X0,X1)) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f403,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f429,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ frontsegP(nil,X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f283]) ).

fof(f480,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | nil != app(X0,X1)
      | nil = X1 ),
    inference(cnf_transformation,[],[f293]) ).

fof(f482,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    inference(cnf_transformation,[],[f201]) ).

fof(f500,plain,
    ( nil != sK54
    | nil != sK53 ),
    inference(cnf_transformation,[],[f296]) ).

fof(f503,plain,
    ( nil = sK53
    | nil = sK54 ),
    inference(cnf_transformation,[],[f296]) ).

fof(f504,plain,
    ssList(sK57),
    inference(cnf_transformation,[],[f296]) ).

fof(f505,plain,
    ssList(sK58),
    inference(cnf_transformation,[],[f296]) ).

fof(f506,plain,
    sK55 = app(sK58,sK57),
    inference(cnf_transformation,[],[f296]) ).

fof(f507,plain,
    sK56 = app(sK57,sK58),
    inference(cnf_transformation,[],[f296]) ).

fof(f508,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f296]) ).

fof(f509,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f296]) ).

fof(f510,plain,
    ( nil = sK55
    | nil = sK56 ),
    inference(definition_unfolding,[],[f503,f509,f508]) ).

fof(f513,plain,
    ( nil != sK56
    | nil != sK55 ),
    inference(definition_unfolding,[],[f500,f508,f509]) ).

fof(f519,plain,
    ! [X2,X1] :
      ( ~ ssList(app(X1,X2))
      | ~ ssList(X1)
      | ~ ssList(X2)
      | frontsegP(app(X1,X2),X1) ),
    inference(equality_resolution,[],[f311]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1)) ),
    inference(cnf_transformation,[],[f519]) ).

tcf(c_141,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f389]) ).

tcf(c_153,plain,
    ! [X0: $i,X1: $i] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f401]) ).

tcf(c_155,plain,
    ! [X0: $i] :
      ( ( app(nil,X0) = X0 )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f403]) ).

tcf(c_182,plain,
    ! [X0: $i] :
      ( ( X0 = nil )
      | ~ ssList(X0)
      | ~ frontsegP(nil,X0) ),
    inference(cnf_transformation,[],[f429]) ).

tcf(c_229,plain,
    ( ( app(nil,nil) = nil )
    | ~ ssList(nil) ),
    inference(cnf_transformation,[],[f548]) ).

tcf(c_230,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = nil )
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ( app(X0,X1) != nil ) ),
    inference(cnf_transformation,[],[f480]) ).

tcf(c_232,plain,
    ! [X0: $i] :
      ( ( app(X0,nil) = X0 )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f482]) ).

tcf(c_246,negated_conjecture,
    app(sK57,sK58) = sK56,
    inference(cnf_transformation,[],[f507]) ).

tcf(c_247,negated_conjecture,
    app(sK58,sK57) = sK55,
    inference(cnf_transformation,[],[f506]) ).

tcf(c_248,negated_conjecture,
    ssList(sK58),
    inference(cnf_transformation,[],[f505]) ).

tcf(c_249,negated_conjecture,
    ssList(sK57),
    inference(cnf_transformation,[],[f504]) ).

tcf(c_250,negated_conjecture,
    ( ( nil = sK55 )
    | ( nil = sK56 ) ),
    inference(cnf_transformation,[],[f510]) ).

tcf(c_251,negated_conjecture,
    ( ( nil != sK55 )
    | ( nil != sK56 ) ),
    inference(cnf_transformation,[],[f513]) ).

tcf(c_296,plain,
    ( ( app(nil,nil) = nil )
    | ~ ssList(nil) ),
    inference(instantiation,[status(thm)],[c_232]) ).

tcf(c_368,plain,
    app(nil,nil) = nil,
    inference(global_subsumption_just,[status(thm)],[c_229,c_141,c_296]) ).

tcf(c_377,plain,
    ! [X0: $i,X1: $i] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_153,c_61]) ).

tcf(c_9690,definition,
    iPr_def_10 = app(sK58,sK57),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_9691,definition,
    iPr_def_11 = app(sK57,sK58),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_9694,negated_conjecture,
    ( ( nil != sK55 )
    | ( nil != sK56 ) ),
    inference(demodulation,[status(thm)],[c_251]) ).

tcf(c_9695,negated_conjecture,
    ( ( nil = sK55 )
    | ( nil = sK56 ) ),
    inference(demodulation,[status(thm)],[c_250]) ).

tcf(c_9696,negated_conjecture,
    ssList(sK57),
    inference(demodulation,[status(thm)],[c_249]) ).

tcf(c_9697,negated_conjecture,
    ssList(sK58),
    inference(demodulation,[status(thm)],[c_248]) ).

tcf(c_9698,negated_conjecture,
    iPr_def_10 = sK55,
    inference(demodulation,[status(thm)],[c_247,c_9690]) ).

tcf(c_9699,negated_conjecture,
    iPr_def_11 = sK56,
    inference(demodulation,[status(thm)],[c_246,c_9691]) ).

tcf(c_13412,plain,
    ( ( nil = iPr_def_11 )
    | ( nil = iPr_def_10 ) ),
    inference(light_normalisation,[status(thm)],[c_9695,c_9698,c_9699]) ).

tcf(c_13415,plain,
    ( ( nil != iPr_def_11 )
    | ( nil != iPr_def_10 ) ),
    inference(light_normalisation,[status(thm)],[c_9694,c_9698,c_9699]) ).

tcf(c_13422,plain,
    ( ( nil = iPr_def_10 )
    | ( iPr_def_10 != iPr_def_11 )
    | ( nil != iPr_def_11 ) ),
    inference(superposition,[status(thm)],[c_13412,c_13415]) ).

tcf(c_13473,plain,
    ( ( nil = iPr_def_10 )
    | ( iPr_def_10 != iPr_def_11 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13422,c_13412]) ).

tcf(c_13943,plain,
    app(nil,sK58) = sK58,
    inference(superposition,[status(thm)],[c_9697,c_155]) ).

tcf(c_14033,plain,
    app(sK58,nil) = sK58,
    inference(superposition,[status(thm)],[c_9697,c_232]) ).

tcf(c_15031,plain,
    ! [X0: $i] :
      ( ( nil = iPr_def_10 )
      | ( X0 = nil )
      | ~ ssList(X0)
      | ~ frontsegP(iPr_def_11,X0) ),
    inference(superposition,[status(thm)],[c_13412,c_182]) ).

tcf(c_15292,plain,
    ( frontsegP(iPr_def_11,sK57)
    | ~ ssList(sK58)
    | ~ ssList(sK57) ),
    inference(superposition,[status(thm)],[c_9691,c_377]) ).

tcf(c_15335,plain,
    frontsegP(iPr_def_11,sK57),
    inference(forward_subsumption_resolution,[status(thm)],[c_15292,c_9697,c_9696]) ).

tcf(c_15801,plain,
    ( ( nil = iPr_def_10 )
    | ( nil = sK57 )
    | ~ ssList(sK57) ),
    inference(superposition,[status(thm)],[c_15335,c_15031]) ).

tcf(c_15802,plain,
    ( ( nil = iPr_def_10 )
    | ( nil = sK57 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15801,c_9696]) ).

tcf(c_15825,plain,
    ( ( nil = iPr_def_10 )
    | ( app(nil,sK58) = iPr_def_11 ) ),
    inference(superposition,[status(thm)],[c_15802,c_9691]) ).

tcf(c_15826,plain,
    ( ( nil = iPr_def_10 )
    | ( app(sK58,nil) = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_15802,c_9690]) ).

tcf(c_15832,plain,
    ( ( sK58 = iPr_def_10 )
    | ( nil = iPr_def_10 ) ),
    inference(light_normalisation,[status(thm)],[c_15826,c_14033]) ).

tcf(c_15835,plain,
    ( ( sK58 = iPr_def_11 )
    | ( nil = iPr_def_10 ) ),
    inference(light_normalisation,[status(thm)],[c_15825,c_13943]) ).

tcf(c_16145,plain,
    ( ( iPr_def_10 = iPr_def_11 )
    | ( nil = iPr_def_10 ) ),
    inference(superposition,[status(thm)],[c_15832,c_15835]) ).

tcf(c_16204,plain,
    nil = iPr_def_10,
    inference(forward_subsumption_resolution,[status(thm)],[c_16145,c_13473]) ).

tcf(c_16260,plain,
    app(sK58,iPr_def_10) = sK58,
    inference(demodulation,[status(thm)],[c_14033,c_16204]) ).

tcf(c_16300,plain,
    app(iPr_def_10,iPr_def_10) = iPr_def_10,
    inference(demodulation,[status(thm)],[c_368,c_16204]) ).

tcf(c_16301,plain,
    ( ( iPr_def_10 != iPr_def_11 )
    | ( iPr_def_10 != iPr_def_10 ) ),
    inference(demodulation,[status(thm)],[c_13415,c_16204]) ).

tcf(c_16324,plain,
    iPr_def_10 != iPr_def_11,
    inference(equality_resolution_simp,[status(thm)],[c_16301]) ).

tcf(c_17611,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = iPr_def_10 )
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ( app(X0,X1) != iPr_def_10 ) ),
    inference(light_normalisation,[status(thm)],[c_230,c_16204]) ).

tcf(c_17625,plain,
    ( ( sK57 = iPr_def_10 )
    | ~ ssList(sK58)
    | ~ ssList(sK57) ),
    inference(superposition,[status(thm)],[c_9690,c_17611]) ).

tcf(c_17634,plain,
    sK57 = iPr_def_10,
    inference(forward_subsumption_resolution,[status(thm)],[c_17625,c_9697,c_9696]) ).

tcf(c_17644,plain,
    app(iPr_def_10,sK58) = iPr_def_11,
    inference(demodulation,[status(thm)],[c_9691,c_17634]) ).

tcf(c_17645,plain,
    app(sK58,iPr_def_10) = iPr_def_10,
    inference(demodulation,[status(thm)],[c_9690,c_17634]) ).

tcf(c_17647,plain,
    sK58 = iPr_def_10,
    inference(demodulation,[status(thm)],[c_16260,c_17645]) ).

tcf(c_17665,plain,
    iPr_def_10 = iPr_def_11,
    inference(light_normalisation,[status(thm)],[c_17644,c_16300,c_17647]) ).

tcf(c_17666,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_17665,c_16324]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC030+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37  % Computer : n015.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Thu Sep 24 16:03:41 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  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
% 0.09/0.42  
% 0.09/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 3.81/1.18  % SZS status Started for theBenchmark.p
% 3.81/1.18  % SZS status Theorem for theBenchmark.p
% 3.81/1.18  
% 3.81/1.18  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.81/1.18  
% 3.81/1.18  % ------  iProver source info
% 3.81/1.18  
% 3.81/1.18  % git: date: 2026-07-19 20:42:38 +0200
% 3.81/1.18  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.81/1.18  % git: non_committed_changes: false
% 3.81/1.18  
% 3.81/1.18  % ------ Parsing...
% 3.81/1.18  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.81/1.18  
% 3.81/1.18  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e % 
% 3.81/1.18  
% 3.81/1.18  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.81/1.18  
% 3.81/1.18  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.81/1.18  % ------ Proving...
% 3.81/1.18  % ------ Problem Properties 
% 3.81/1.18  
% 3.81/1.18  % 
% 3.81/1.18  % clauses                               190
% 3.81/1.18  % conjectures                           8
% 3.81/1.18  % EPR                                   57
% 3.81/1.18  % Horn                                  121
% 3.81/1.18  % unary                                 24
% 3.81/1.18  % binary                                42
% 3.81/1.18  % lits                                  630
% 3.81/1.18  % lits eq                               86
% 3.81/1.18  % fd_pure                               0
% 3.81/1.18  % fd_pseudo                             0
% 3.81/1.18  % fd_cond                               21
% 3.81/1.18  % fd_pseudo_cond                        14
% 3.81/1.18  % AC symbols                            0
% 3.81/1.18  
% 3.81/1.18  % ------ Schedule dynamic 5 is on 
% 3.81/1.18  
% 3.81/1.18  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.81/1.18  
% 3.81/1.18  
% 3.81/1.18  % ------ 
% 3.81/1.18  % Current options:
% 3.81/1.18  % ------ 
% 3.81/1.18  
% 3.81/1.18  
% 3.81/1.18  % 
% 3.81/1.18  
% 3.81/1.18  % ------ Proving...
% 3.81/1.18  % 
% 3.81/1.18  
% 3.81/1.18  % SZS status Theorem for theBenchmark.p
% 3.81/1.18  
% 3.81/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.81/1.18  
% 3.81/1.18  
%------------------------------------------------------------------------------