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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR031+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n002.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 01:05:17 PM UTC 2026

% Result   : Theorem 47.48s 11.48s
% Output   : Proof 47.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   57 (  29 unt;   0 def)
%            Number of atoms       :   89 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   97 (  65   ~;  24   |;   7   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-4 aty)
%            Number of variables   :   55 (   2 sgn  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1118,axiom,
    ! [INS,ARG2] :
      ( disjointwith(INS,ARG2)
     => collection(INS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1119) ).

fof(f1118_nnf,plain,
    ! [INS,ARG2] :
      ( collection(INS)
      | ~ disjointwith(INS,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f1118]) ).

fof(f1118_sk,plain,
    ! [INS,ARG2] :
      ( collection(INS)
      | ~ disjointwith(INS,ARG2) ),
    inference(skolemisation,[status(esa)],[f1118_nnf]) ).

cnf(c1118,plain,
    ( collection(X0)
    | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1118_sk]) ).

cnf(hi1109,axiom,
    ifeq(disjointwith(X0,X1),true,collection(X0),true) = true,
    inference(equality_encoding,[status(esa)],[c1118]) ).

fof(f1131,conjecture,
    ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query81) ).

fof(f1131_neg,negated_conjecture,
    ~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(negated_conjecture,[status(cth)],[f1131]) ).

fof(f1131_nnf,plain,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(nnf_transformation,[status(thm)],[f1131_neg]) ).

cnf(c1131,plain,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(cnf_transformation,[status(esa)],[f1131_nnf]) ).

cnf(hi1122,negated_conjecture,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488) = true,
    inference(equality_encoding,[status(esa)],[c1131]) ).

cnf(h894,plain,
    collection(c_tptptptpcol_16_8398) = true,
    inference(hyper_resolution,[status(thm)],[hi1109,hi1122]) ).

fof(f288,axiom,
    ! [OBJ] :
      ~ ( individual(OBJ)
        & collection(OBJ) ),
    file('/export/starexec/sandbox2/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]) ).

cnf(hi1126,axiom,
    ifeq(collection(X0),true,ifeq(individual(X0),true,false,true),true) = true,
    inference(equality_encoding,[status(esa)],[c288]) ).

fof(f446,axiom,
    individual(c_tptptptpcol_16_8398),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_447) ).

fof(f446_nnf,plain,
    individual(c_tptptptpcol_16_8398),
    inference(nnf_transformation,[status(thm)],[f446]) ).

cnf(c446,plain,
    individual(c_tptptptpcol_16_8398),
    inference(cnf_transformation,[status(esa)],[f446_nnf]) ).

cnf(hi441,axiom,
    individual(c_tptptptpcol_16_8398) = true,
    inference(equality_encoding,[status(esa)],[c446]) ).

cnf(t0,plain,
    true = false,
    inference(hyper_resolution,[status(thm)],[hi1126,h894,hi441]) ).

cnf(t838,plain,
    false = true,
    inference(orient,[status(thm)],[t0]) ).

fof(f2,axiom,
    ! [OBJ] :
      ~ ( partiallytangible(OBJ)
        & intangible(OBJ) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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(f362,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t838]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR031+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/5.42  % Computer : n002.cluster.edu
% 0.16/5.42  % Model    : x86_64 x86_64
% 0.16/5.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.42  % Memory   : 8046.5625MB
% 0.16/5.42  % OS       : Linux 6.8.0-71-generic
% 0.16/5.42  % CPULimit : 300
% 0.16/5.42  % WCLimit  : 300
% 0.16/5.42  % DateTime : Fri Sep 25 08:17:42 UTC 2026
% 0.16/5.43  % CPUTime  : 
% 0.16/5.43  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 47.48/11.48  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 47.48/11.48  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------