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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR064+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n009.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 01:05:39 PM UTC 2026

% Result   : Theorem 4.76s 1.16s
% Output   : Proof 4.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   43 (  19 unt;   0 def)
%            Number of atoms       :   79 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   84 (  48   ~;  27   |;   7   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-4 aty)
%            Number of variables   :   61 (   2 sgn  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [ARG1,ARG2] :
      ( genls(ARG1,ARG2)
     => subsetof(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).

fof(f9_nnf,plain,
    ! [ARG1,ARG2] :
      ( subsetof(ARG1,ARG2)
      | ~ genls(ARG1,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f9]) ).

fof(f9_sk,plain,
    ! [ARG1,ARG2] :
      ( subsetof(ARG1,ARG2)
      | ~ genls(ARG1,ARG2) ),
    inference(skolemisation,[status(esa)],[f9_nnf]) ).

cnf(c9,plain,
    ( subsetof(X0,X1)
    | ~ genls(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(hi7,axiom,
    ifeq(genls(X0,X1),true,subsetof(X0,X1),true) = true,
    inference(equality_encoding,[status(esa)],[c9]) ).

fof(f76,conjecture,
    ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query64) ).

fof(f76_neg,negated_conjecture,
    ~ ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    inference(negated_conjecture,[status(cth)],[f76]) ).

fof(f76_nnf,plain,
    genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    inference(nnf_transformation,[status(thm)],[f76_neg]) ).

cnf(c76,plain,
    genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    inference(cnf_transformation,[status(esa)],[f76_nnf]) ).

cnf(hi72,negated_conjecture,
    genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743) = true,
    inference(equality_encoding,[status(esa)],[c76]) ).

cnf(h12,plain,
    subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743) = true,
    inference(hyper_resolution,[status(thm)],[hi7,hi72]) ).

fof(f40,axiom,
    ! [INS,ARG2] :
      ( subsetof(INS,ARG2)
     => setorcollection(INS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).

fof(f40_nnf,plain,
    ! [INS,ARG2] :
      ( setorcollection(INS)
      | ~ subsetof(INS,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f40]) ).

fof(f40_sk,plain,
    ! [INS,ARG2] :
      ( setorcollection(INS)
      | ~ subsetof(INS,ARG2) ),
    inference(skolemisation,[status(esa)],[f40_nnf]) ).

cnf(c40,plain,
    ( setorcollection(X0)
    | ~ subsetof(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f40_sk]) ).

cnf(hi36,axiom,
    ifeq(subsetof(X0,X1),true,setorcollection(X0),true) = true,
    inference(equality_encoding,[status(esa)],[c40]) ).

cnf(h23,plain,
    setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) = true,
    inference(hyper_resolution,[status(thm)],[hi36,h12]) ).

fof(f1,axiom,
    ! [OBJ] :
      ~ ( setorcollection(OBJ)
        & individual(OBJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).

fof(f1_nnf,plain,
    ! [OBJ] :
      ( ~ setorcollection(OBJ)
      | ~ individual(OBJ) ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [OBJ] :
      ( ~ setorcollection(OBJ)
      | ~ individual(OBJ) ),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    ( ~ setorcollection(X0)
    | ~ individual(X0) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(hi73,axiom,
    ifeq(individual(X0),true,ifeq(setorcollection(X0),true,false,true),true) = true,
    inference(equality_encoding,[status(esa)],[c1]) ).

fof(f2,axiom,
    individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just3) ).

fof(f2_nnf,plain,
    individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(nnf_transformation,[status(thm)],[f2]) ).

cnf(c2,plain,
    individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(cnf_transformation,[status(esa)],[f2_nnf]) ).

cnf(hi1,axiom,
    individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) = true,
    inference(equality_encoding,[status(esa)],[c2]) ).

cnf(t0,plain,
    true = false,
    inference(hyper_resolution,[status(thm)],[hi73,hi1,h23]) ).

cnf(t486,plain,
    false = true,
    inference(orient,[status(thm)],[t0]) ).

fof(f3,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).

fof(f3_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c3,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

fof(f10,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).

fof(f10_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f10]) ).

fof(f10_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f10_nnf]) ).

cnf(c10,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

fof(f14,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).

fof(f14_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f14]) ).

fof(f14_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f14_nnf]) ).

cnf(c14,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c1,c3,c10,c14]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t486]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR064+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37  % Computer : n009.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Fri Sep 25 08:49:13 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.76/1.16  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.76/1.16  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------