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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : COM021+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n019.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 01:04:20 PM UTC 2026

% Result   : Theorem 2.31s 6.21s
% Output   : CNFRefutation 2.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   67 (  25 unt;   0 def)
%            Number of atoms       :  295 (  23 equ)
%            Maximal formula atoms :   13 (   4 avg)
%            Number of connectives :  389 ( 161   ~; 163   |;  53   &)
%                                         (   9 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 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 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-3 aty)
%            Number of variables   :  124 (   0 sgn 114   !;  10   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X0,X1,X2] :
      ( ( aElement0(X2)
        & aRewritingSystem0(X1)
        & aElement0(X0) )
     => ( sdtmndtplgtdt0(X0,X1,X2)
      <=> ( ? [X3] :
              ( sdtmndtplgtdt0(X3,X1,X2)
              & aReductOfIn0(X3,X0,X1)
              & aElement0(X3) )
          | aReductOfIn0(X2,X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( ( aElement0(X2)
        & aRewritingSystem0(X1)
        & aElement0(X0) )
     => ( sdtmndtasgtdt0(X0,X1,X2)
      <=> ( sdtmndtplgtdt0(X0,X1,X2)
          | X0 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ( aRewritingSystem0(X1)
        & aElement0(X0) )
     => ! [X2] :
          ( aNormalFormOfIn0(X2,X0,X1)
        <=> ( ~ ? [X3] : aReductOfIn0(X3,X2,X1)
            & sdtmndtasgtdt0(X0,X1,X2)
            & aElement0(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).

fof(f15,axiom,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).

fof(f22,axiom,
    ( sdtmndtasgtdt0(xv,xR,xw)
    & sdtmndtasgtdt0(xu,xR,xw)
    & aElement0(xw) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).

fof(f23,axiom,
    aNormalFormOfIn0(xd,xw,xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).

fof(f24,axiom,
    ( sdtmndtasgtdt0(xd,xR,xx)
    & sdtmndtasgtdt0(xb,xR,xx)
    & aElement0(xx) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__850) ).

fof(f25,conjecture,
    sdtmndtasgtdt0(xb,xR,xd),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f26,negated_conjecture,
    ~ sdtmndtasgtdt0(xb,xR,xd),
    inference(negated_conjecture,[status(cth)],[f25]) ).

fof(f31,plain,
    ~ sdtmndtasgtdt0(xb,xR,xd),
    inference(flattening,[],[f26]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ( sdtmndtplgtdt0(X0,X1,X2)
      <=> ( ? [X3] :
              ( sdtmndtplgtdt0(X3,X1,X2)
              & aReductOfIn0(X3,X0,X1)
              & aElement0(X3) )
          | aReductOfIn0(X2,X0,X1) ) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ( sdtmndtplgtdt0(X0,X1,X2)
      <=> ( ? [X3] :
              ( sdtmndtplgtdt0(X3,X1,X2)
              & aReductOfIn0(X3,X0,X1)
              & aElement0(X3) )
          | aReductOfIn0(X2,X0,X1) ) ) ),
    inference(flattening,[],[f34]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ( sdtmndtasgtdt0(X0,X1,X2)
      <=> ( sdtmndtplgtdt0(X0,X1,X2)
          | X0 = X2 ) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ( sdtmndtasgtdt0(X0,X1,X2)
      <=> ( sdtmndtplgtdt0(X0,X1,X2)
          | X0 = X2 ) ) ),
    inference(flattening,[],[f38]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ! [X2] :
          ( aNormalFormOfIn0(X2,X0,X1)
        <=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
            & sdtmndtasgtdt0(X0,X1,X2)
            & aElement0(X2) ) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ! [X2] :
          ( aNormalFormOfIn0(X2,X0,X1)
        <=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
            & sdtmndtasgtdt0(X0,X1,X2)
            & aElement0(X2) ) ) ),
    inference(flattening,[],[f48]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ( ( ~ sdtmndtplgtdt0(X0,X1,X2)
          | ? [X3] :
              ( sdtmndtplgtdt0(X3,X1,X2)
              & aReductOfIn0(X3,X0,X1)
              & aElement0(X3) )
          | aReductOfIn0(X2,X0,X1) )
        & ( ( ! [X3] :
                ( ~ sdtmndtplgtdt0(X3,X1,X2)
                | ~ aReductOfIn0(X3,X0,X1)
                | ~ aElement0(X3) )
            & ~ aReductOfIn0(X2,X0,X1) )
          | sdtmndtplgtdt0(X0,X1,X2) ) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ( ( ~ sdtmndtplgtdt0(X0,X1,X2)
          | ? [X3] :
              ( sdtmndtplgtdt0(X3,X1,X2)
              & aReductOfIn0(X3,X0,X1)
              & aElement0(X3) )
          | aReductOfIn0(X2,X0,X1) )
        & ( ( ! [X3] :
                ( ~ sdtmndtplgtdt0(X3,X1,X2)
                | ~ aReductOfIn0(X3,X0,X1)
                | ~ aElement0(X3) )
            & ~ aReductOfIn0(X2,X0,X1) )
          | sdtmndtplgtdt0(X0,X1,X2) ) ) ),
    inference(flattening,[],[f60]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ( ( ~ sdtmndtplgtdt0(X0,X1,X2)
          | ? [X4] :
              ( sdtmndtplgtdt0(X4,X1,X2)
              & aReductOfIn0(X4,X0,X1)
              & aElement0(X4) )
          | aReductOfIn0(X2,X0,X1) )
        & ( ( ! [X3] :
                ( ~ sdtmndtplgtdt0(X3,X1,X2)
                | ~ aReductOfIn0(X3,X0,X1)
                | ~ aElement0(X3) )
            & ~ aReductOfIn0(X2,X0,X1) )
          | sdtmndtplgtdt0(X0,X1,X2) ) ) ),
    inference(rectify,[],[f61]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ( ( ~ sdtmndtplgtdt0(X0,X1,X2)
          | ( sdtmndtplgtdt0(sK4(X0,X1,X2),X1,X2)
            & aReductOfIn0(sK4(X0,X1,X2),X0,X1)
            & aElement0(sK4(X0,X1,X2)) )
          | aReductOfIn0(X2,X0,X1) )
        & ( ( ! [X3] :
                ( ~ sdtmndtplgtdt0(X3,X1,X2)
                | ~ aReductOfIn0(X3,X0,X1)
                | ~ aElement0(X3) )
            & ~ aReductOfIn0(X2,X0,X1) )
          | sdtmndtplgtdt0(X0,X1,X2) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X4,sK4(X0,X1,X2))],[f62]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ( ( ~ sdtmndtasgtdt0(X0,X1,X2)
          | sdtmndtplgtdt0(X0,X1,X2)
          | X0 = X2 )
        & ( ( ~ sdtmndtplgtdt0(X0,X1,X2)
            & X0 != X2 )
          | sdtmndtasgtdt0(X0,X1,X2) ) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ( ( ~ sdtmndtasgtdt0(X0,X1,X2)
          | sdtmndtplgtdt0(X0,X1,X2)
          | X0 = X2 )
        & ( ( ~ sdtmndtplgtdt0(X0,X1,X2)
            & X0 != X2 )
          | sdtmndtasgtdt0(X0,X1,X2) ) ) ),
    inference(flattening,[],[f64]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ! [X2] :
          ( ( ~ aNormalFormOfIn0(X2,X0,X1)
            | ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
              & sdtmndtasgtdt0(X0,X1,X2)
              & aElement0(X2) ) )
          & ( ? [X3] : aReductOfIn0(X3,X2,X1)
            | ~ sdtmndtasgtdt0(X0,X1,X2)
            | ~ aElement0(X2)
            | aNormalFormOfIn0(X2,X0,X1) ) ) ),
    inference(nnf_transformation,[],[f49]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ! [X2] :
          ( ( ~ aNormalFormOfIn0(X2,X0,X1)
            | ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
              & sdtmndtasgtdt0(X0,X1,X2)
              & aElement0(X2) ) )
          & ( ? [X3] : aReductOfIn0(X3,X2,X1)
            | ~ sdtmndtasgtdt0(X0,X1,X2)
            | ~ aElement0(X2)
            | aNormalFormOfIn0(X2,X0,X1) ) ) ),
    inference(flattening,[],[f77]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ! [X2] :
          ( ( ~ aNormalFormOfIn0(X2,X0,X1)
            | ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
              & sdtmndtasgtdt0(X0,X1,X2)
              & aElement0(X2) ) )
          & ( ? [X3] : aReductOfIn0(X3,X2,X1)
            | ~ sdtmndtasgtdt0(X0,X1,X2)
            | ~ aElement0(X2)
            | aNormalFormOfIn0(X2,X0,X1) ) ) ),
    inference(rectify,[],[f78]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ! [X2] :
          ( ( ~ aNormalFormOfIn0(X2,X0,X1)
            | ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
              & sdtmndtasgtdt0(X0,X1,X2)
              & aElement0(X2) ) )
          & ( aReductOfIn0(sK15(X1,X2),X2,X1)
            | ~ sdtmndtasgtdt0(X0,X1,X2)
            | ~ aElement0(X2)
            | aNormalFormOfIn0(X2,X0,X1) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X3,sK15(X1,X2))],[f79]) ).

fof(f85,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,X1,X2)
      | aReductOfIn0(sK4(X0,X1,X2),X0,X1)
      | aReductOfIn0(X2,X0,X1) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f90,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,X1,X2)
      | sdtmndtplgtdt0(X0,X1,X2)
      | X0 = X2 ),
    inference(cnf_transformation,[],[f65]) ).

fof(f123,plain,
    ! [X2,X0,X1,X4] :
      ( ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ aNormalFormOfIn0(X2,X0,X1)
      | ~ aReductOfIn0(X4,X2,X1) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f125,plain,
    ! [X2,X0,X1] :
      ( ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ aNormalFormOfIn0(X2,X0,X1)
      | aElement0(X2) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f128,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f15]) ).

fof(f147,plain,
    aElement0(xw),
    inference(cnf_transformation,[],[f22]) ).

fof(f148,plain,
    aNormalFormOfIn0(xd,xw,xR),
    inference(cnf_transformation,[],[f23]) ).

fof(f149,plain,
    sdtmndtasgtdt0(xd,xR,xx),
    inference(cnf_transformation,[],[f24]) ).

fof(f150,plain,
    sdtmndtasgtdt0(xb,xR,xx),
    inference(cnf_transformation,[],[f24]) ).

fof(f151,plain,
    aElement0(xx),
    inference(cnf_transformation,[],[f24]) ).

fof(f152,plain,
    ~ sdtmndtasgtdt0(xb,xR,xd),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( aReductOfIn0(X2,X0,X1)
      | aReductOfIn0(sK4(X0,X1,X2),X0,X1)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sdtmndtplgtdt0(X0,X1,X2)
      | ( X0 = X2 )
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_90,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( aElement0(X0)
      | ~ aRewritingSystem0(X2)
      | ~ aElement0(X1)
      | ~ aNormalFormOfIn0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_92,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ aRewritingSystem0(X2)
      | ~ aElement0(X3)
      | ~ aNormalFormOfIn0(X1,X3,X2)
      | ~ aReductOfIn0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_94,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_111,plain,
    aElement0(xw),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_114,plain,
    aNormalFormOfIn0(xd,xw,xR),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_115,plain,
    aElement0(xx),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_116,plain,
    sdtmndtasgtdt0(xb,xR,xx),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_117,plain,
    sdtmndtasgtdt0(xd,xR,xx),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_118,negated_conjecture,
    ~ sdtmndtasgtdt0(xb,xR,xd),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_1239,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( aElement0(X0)
      | ~ aRewritingSystem0(X2)
      | ~ aElement0(X1)
      | ( X2 != xR )
      | ( X1 != xw )
      | ( X0 != xd ) ),
    inference(resolution_lifted,[status(thm)],[c_90,c_114]) ).

tcf(c_1240,plain,
    ( aElement0(xd)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xw) ),
    inference(unflattening,[status(thm)],[c_1239]) ).

tcf(c_1241,plain,
    aElement0(xd),
    inference(global_subsumption_just,[status(thm)],[c_1240,c_111,c_94,c_1240]) ).

tcf(c_1282,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ aRewritingSystem0(X1)
      | ~ aElement0(X2)
      | ~ aReductOfIn0(X3,X0,X1)
      | ( X2 != xw )
      | ( X1 != xR )
      | ( X0 != xd ) ),
    inference(resolution_lifted,[status(thm)],[c_92,c_114]) ).

tcf(c_1283,plain,
    ! [X0: $i] :
      ( ~ aRewritingSystem0(xR)
      | ~ aElement0(xw)
      | ~ aReductOfIn0(X0,xd,xR) ),
    inference(unflattening,[status(thm)],[c_1282]) ).

tcf(c_1285,plain,
    ! [X0: $i] : ~ aReductOfIn0(X0,xd,xR),
    inference(global_subsumption_just,[status(thm)],[c_1283,c_111,c_94,c_1283]) ).

tcf(c_1444,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sdtmndtplgtdt0(X1,X0,X2)
      | ( X1 = X2 )
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ sdtmndtasgtdt0(X1,X0,X2)
      | ( X0 != xR ) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_94]) ).

tcf(c_1445,plain,
    ! [X0: $i,X1: $i] :
      ( sdtmndtplgtdt0(X0,xR,X1)
      | ( X0 = X1 )
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtasgtdt0(X0,xR,X1) ),
    inference(unflattening,[status(thm)],[c_1444]) ).

tcf(c_1524,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( aReductOfIn0(X2,X1,X0)
      | aReductOfIn0(sK4(X1,X0,X2),X1,X0)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ sdtmndtplgtdt0(X1,X0,X2)
      | ( X0 != xR ) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_94]) ).

tcf(c_1525,plain,
    ! [X0: $i,X1: $i] :
      ( aReductOfIn0(X1,X0,xR)
      | aReductOfIn0(sK4(X0,xR,X1),X0,xR)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(X0,xR,X1) ),
    inference(unflattening,[status(thm)],[c_1524]) ).

tcf(c_4800,negated_conjecture,
    ~ sdtmndtasgtdt0(xb,xR,xd),
    inference(demodulation,[status(thm)],[c_118]) ).

tcf(c_7553,plain,
    ( sdtmndtplgtdt0(xd,xR,xx)
    | ( xd = xx )
    | ~ aElement0(xx)
    | ~ aElement0(xd) ),
    inference(superposition,[status(thm)],[c_117,c_1445]) ).

tcf(c_7592,plain,
    ( sdtmndtplgtdt0(xd,xR,xx)
    | ( xd = xx ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7553,c_115,c_1241]) ).

tcf(c_9661,plain,
    ! [X0: $i] :
      ( aReductOfIn0(X0,xd,xR)
      | ~ aElement0(xd)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(xd,xR,X0) ),
    inference(superposition,[status(thm)],[c_1525,c_1285]) ).

tcf(c_9667,plain,
    ! [X0: $i] :
      ( ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(xd,xR,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9661,c_1285,c_1241]) ).

tcf(c_9777,plain,
    ( ( xd = xx )
    | ~ aElement0(xx) ),
    inference(superposition,[status(thm)],[c_7592,c_9667]) ).

tcf(c_9778,plain,
    xd = xx,
    inference(forward_subsumption_resolution,[status(thm)],[c_9777,c_115]) ).

tcf(c_9801,plain,
    sdtmndtasgtdt0(xb,xR,xd),
    inference(demodulation,[status(thm)],[c_116,c_9778]) ).

tcf(c_9803,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9801,c_4800]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COM021+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.39  % Computer : n019.cluster.edu
% 0.09/5.39  % Model    : x86_64 x86_64
% 0.09/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.39  % Memory   : 8046.5625MB
% 0.09/5.39  % OS       : Linux 6.8.0-71-generic
% 0.09/5.39  % CPULimit : 300
% 0.09/5.39  % WCLimit  : 300
% 0.09/5.39  % DateTime : Fri Sep 25 07:48:24 UTC 2026
% 0.09/5.39  % CPUTime  : 
% 0.09/5.39  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.43  Running first-order theorem proving
% 0.14/5.43  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
% 0.14/5.44  
% 0.14/5.44  % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.44  
% 0.14/5.44  % Detected problem language: tptp
% 0.14/5.45  % Proving...
% 2.31/6.21  % SZS status Started for theBenchmark.p
% 2.31/6.21  % SZS status Theorem for theBenchmark.p
% 2.31/6.21  
% 2.31/6.21  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.31/6.21  
% 2.31/6.21  % ------  iProver source info
% 2.31/6.21  
% 2.31/6.21  % git: date: 2026-07-19 20:42:38 +0200
% 2.31/6.21  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.31/6.21  % git: non_committed_changes: false
% 2.31/6.21  
% 2.31/6.21  % ------ Parsing...
% 2.31/6.21  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.31/6.21  
% 2.31/6.21  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 6 0s  sf_e  pe_s  pe_e % 
% 2.31/6.21  
% 2.31/6.21  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.31/6.21  
% 2.31/6.21  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.31/6.21  % ------ Proving...
% 2.31/6.21  % ------ Problem Properties 
% 2.31/6.21  
% 2.31/6.21  % 
% 2.31/6.21  % clauses                               58
% 2.31/6.21  % conjectures                           1
% 2.31/6.21  % EPR                                   30
% 2.31/6.21  % Horn                                  44
% 2.31/6.21  % unary                                 22
% 2.31/6.21  % binary                                14
% 2.31/6.21  % lits                                  173
% 2.31/6.21  % lits eq                               1
% 2.31/6.21  % fd_pure                               0
% 2.31/6.21  % fd_pseudo                             0
% 2.31/6.21  % fd_cond                               0
% 2.31/6.21  % fd_pseudo_cond                        1
% 2.31/6.21  % AC symbols                            0
% 2.31/6.21  
% 2.31/6.21  % ------ Schedule dynamic 5 is on 
% 2.31/6.21  
% 2.31/6.21  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.31/6.21  
% 2.31/6.21  
% 2.31/6.21  % ------ 
% 2.31/6.21  % Current options:
% 2.31/6.21  % ------ 
% 2.31/6.21  
% 2.31/6.21  
% 2.31/6.21  % 
% 2.31/6.21  
% 2.31/6.21  % ------ Proving...
% 2.31/6.21  % 
% 2.31/6.21  
% 2.31/6.21  % SZS status Theorem for theBenchmark.p
% 2.31/6.21  
% 2.31/6.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.31/6.21  
%------------------------------------------------------------------------------