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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR042+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n013.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 01:05:25 PM UTC 2026

% Result   : Theorem 46.75s 6.33s
% Output   : Proof 46.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   61 (  25 unt;   0 def)
%            Number of atoms       :  101 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  109 (  69   ~;  27   |;   9   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-4 aty)
%            Number of variables   :   60 (   2 sgn  41   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f121,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_122) ).

fof(f121_nnf,plain,
    ( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(nnf_transformation,[status(thm)],[f121]) ).

fof(f121_sk,plain,
    ( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(skolemisation,[status(esa)],[f121_nnf]) ).

cnf(c121,plain,
    ( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(cnf_transformation,[status(esa)],[f121_sk]) ).

cnf(hi120,axiom,
    ifeq(mtvisible(c_tptpgeo_member7_mt),true,borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65),true) = true,
    inference(equality_encoding,[status(esa)],[c121]) ).

fof(f1131,conjecture,
    ? [ARG1] :
      ( mtvisible(c_tptpgeo_member7_mt)
     => borderson(ARG1,c_georegion_l4_x27_y64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query92) ).

fof(f1131_neg,negated_conjecture,
    ~ ? [ARG1] :
        ( mtvisible(c_tptpgeo_member7_mt)
       => borderson(ARG1,c_georegion_l4_x27_y64) ),
    inference(negated_conjecture,[status(cth)],[f1131]) ).

fof(f1131_nnf,plain,
    ! [ARG1] :
      ( ~ borderson(ARG1,c_georegion_l4_x27_y64)
      & mtvisible(c_tptpgeo_member7_mt) ),
    inference(nnf_transformation,[status(thm)],[f1131_neg]) ).

fof(f1131_sk,plain,
    ! [ARG1] :
      ( ~ borderson(ARG1,c_georegion_l4_x27_y64)
      & mtvisible(c_tptpgeo_member7_mt) ),
    inference(skolemisation,[status(esa)],[f1131_nnf]) ).

cnf(c1131,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(cnf_transformation,[status(esa)],[f1131_sk]) ).

cnf(hi1122,negated_conjecture,
    mtvisible(c_tptpgeo_member7_mt) = true,
    inference(equality_encoding,[status(esa)],[c1131]) ).

cnf(h187,plain,
    borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) = true,
    inference(hyper_resolution,[status(thm)],[hi120,hi1122]) ).

fof(f899,axiom,
    ! [X,Y] :
      ( borderson(X,Y)
     => borderson(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_900) ).

fof(f899_nnf,plain,
    ! [X,Y] :
      ( borderson(Y,X)
      | ~ borderson(X,Y) ),
    inference(nnf_transformation,[status(thm)],[f899]) ).

fof(f899_sk,plain,
    ! [X,Y] :
      ( borderson(Y,X)
      | ~ borderson(X,Y) ),
    inference(skolemisation,[status(esa)],[f899_nnf]) ).

cnf(c899,plain,
    ( borderson(X1,X0)
    | ~ borderson(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f899_sk]) ).

cnf(hi891,axiom,
    ifeq(borderson(X0,X1),true,borderson(X1,X0),true) = true,
    inference(equality_encoding,[status(esa)],[c899]) ).

cnf(h1133,plain,
    borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64) = true,
    inference(hyper_resolution,[status(thm)],[hi891,h187]) ).

cnf(c1132,plain,
    ~ borderson(X0,c_georegion_l4_x27_y64),
    inference(cnf_transformation,[status(esa)],[f1131_sk]) ).

cnf(hi1132,negated_conjecture,
    ifeq(borderson(X0,c_georegion_l4_x27_y64),true,false,true) = true,
    inference(equality_encoding,[status(esa)],[c1132]) ).

cnf(t0,plain,
    true = false,
    inference(hyper_resolution,[status(thm)],[hi1132,h1133]) ).

cnf(t303,plain,
    false = true,
    inference(orient,[status(thm)],[t0]) ).

fof(f2,axiom,
    ! [OBJ] :
      ~ ( partiallytangible(OBJ)
        & intangible(OBJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_3) ).

fof(f2_nnf,plain,
    ! [OBJ] :
      ( ~ partiallytangible(OBJ)
      | ~ intangible(OBJ) ),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    ! [OBJ] :
      ( ~ partiallytangible(OBJ)
      | ~ intangible(OBJ) ),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c2,plain,
    ( ~ partiallytangible(X0)
    | ~ intangible(X0) ),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

fof(f152,axiom,
    ! [OBJ] :
      ~ ( tptpcol_1_65536(OBJ)
        & tptpcol_1_1(OBJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_153) ).

fof(f152_nnf,plain,
    ! [OBJ] :
      ( ~ tptpcol_1_65536(OBJ)
      | ~ tptpcol_1_1(OBJ) ),
    inference(nnf_transformation,[status(thm)],[f152]) ).

fof(f152_sk,plain,
    ! [OBJ] :
      ( ~ tptpcol_1_65536(OBJ)
      | ~ tptpcol_1_1(OBJ) ),
    inference(skolemisation,[status(esa)],[f152_nnf]) ).

cnf(c152,plain,
    ( ~ tptpcol_1_65536(X0)
    | ~ tptpcol_1_1(X0) ),
    inference(cnf_transformation,[status(esa)],[f152_sk]) ).

fof(f166,axiom,
    ! [OBJ] :
      ~ ( setorcollection(OBJ)
        & individual(OBJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_167) ).

fof(f166_nnf,plain,
    ! [OBJ] :
      ( ~ setorcollection(OBJ)
      | ~ individual(OBJ) ),
    inference(nnf_transformation,[status(thm)],[f166]) ).

fof(f166_sk,plain,
    ! [OBJ] :
      ( ~ setorcollection(OBJ)
      | ~ individual(OBJ) ),
    inference(skolemisation,[status(esa)],[f166_nnf]) ).

cnf(c166,plain,
    ( ~ setorcollection(X0)
    | ~ individual(X0) ),
    inference(cnf_transformation,[status(esa)],[f166_sk]) ).

fof(f288,axiom,
    ! [OBJ] :
      ~ ( individual(OBJ)
        & collection(OBJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_289) ).

fof(f288_nnf,plain,
    ! [OBJ] :
      ( ~ individual(OBJ)
      | ~ collection(OBJ) ),
    inference(nnf_transformation,[status(thm)],[f288]) ).

fof(f288_sk,plain,
    ! [OBJ] :
      ( ~ individual(OBJ)
      | ~ collection(OBJ) ),
    inference(skolemisation,[status(esa)],[f288_nnf]) ).

cnf(c288,plain,
    ( ~ individual(X0)
    | ~ collection(X0) ),
    inference(cnf_transformation,[status(esa)],[f288_sk]) ).

fof(f362,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_363) ).

fof(f362_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f362]) ).

fof(f362_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f362_nnf]) ).

cnf(c362,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f362_sk]) ).

fof(f487,axiom,
    ! [OBJ] :
      ~ ( tptpcol_3_114688(OBJ)
        & tptpcol_3_98305(OBJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_488) ).

fof(f487_nnf,plain,
    ! [OBJ] :
      ( ~ tptpcol_3_114688(OBJ)
      | ~ tptpcol_3_98305(OBJ) ),
    inference(nnf_transformation,[status(thm)],[f487]) ).

fof(f487_sk,plain,
    ! [OBJ] :
      ( ~ tptpcol_3_114688(OBJ)
      | ~ tptpcol_3_98305(OBJ) ),
    inference(skolemisation,[status(esa)],[f487_nnf]) ).

cnf(c487,plain,
    ( ~ tptpcol_3_114688(X0)
    | ~ tptpcol_3_98305(X0) ),
    inference(cnf_transformation,[status(esa)],[f487_sk]) ).

fof(f520,axiom,
    ! [X] : ~ affiliatedwith(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_521) ).

fof(f520_nnf,plain,
    ! [X] : ~ affiliatedwith(X,X),
    inference(nnf_transformation,[status(thm)],[f520]) ).

fof(f520_sk,plain,
    ! [X] : ~ affiliatedwith(X,X),
    inference(skolemisation,[status(esa)],[f520_nnf]) ).

cnf(c520,plain,
    ~ affiliatedwith(X0,X0),
    inference(cnf_transformation,[status(esa)],[f520_sk]) ).

fof(f697,axiom,
    ! [X] : ~ objectfoundinlocation(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_698) ).

fof(f697_nnf,plain,
    ! [X] : ~ objectfoundinlocation(X,X),
    inference(nnf_transformation,[status(thm)],[f697]) ).

fof(f697_sk,plain,
    ! [X] : ~ objectfoundinlocation(X,X),
    inference(skolemisation,[status(esa)],[f697_nnf]) ).

cnf(c697,plain,
    ~ objectfoundinlocation(X0,X0),
    inference(cnf_transformation,[status(esa)],[f697_sk]) ).

fof(f900,axiom,
    ! [X] : ~ borderson(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_901) ).

fof(f900_nnf,plain,
    ! [X] : ~ borderson(X,X),
    inference(nnf_transformation,[status(thm)],[f900]) ).

fof(f900_sk,plain,
    ! [X] : ~ borderson(X,X),
    inference(skolemisation,[status(esa)],[f900_nnf]) ).

cnf(c900,plain,
    ~ borderson(X0,X0),
    inference(cnf_transformation,[status(esa)],[f900_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c2,c152,c166,c288,c362,c487,c520,c697,c900,c1132]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t303]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR042+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.37  % Computer : n013.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Fri Sep 25 08:25:53 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 46.75/6.33  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.75/6.33  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------