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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR065+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 : n003.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 01:05:40 PM UTC 2026

% Result   : Theorem 60.31s 8.13s
% Output   : Proof 60.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   97 (  53 unt;   0 def)
%            Number of atoms       :  157 (  26 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  144 (  84   ~;  42   |;  12   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  18 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-4 aty)
%            Number of variables   :   80 (   2 sgn  51   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1131,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query115) ).

fof(f1131_neg,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    inference(negated_conjecture,[status(cth)],[f1131]) ).

fof(f1131_nnf,plain,
    ( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(nnf_transformation,[status(thm)],[f1131_neg]) ).

fof(f1131_sk,plain,
    ( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(skolemisation,[status(esa)],[f1131_nnf]) ).

cnf(c1132,plain,
    ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
    inference(cnf_transformation,[status(esa)],[f1131_sk]) ).

cnf(t154,plain,
    ifeq(tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),true,false,true) = true,
    inference(equality_encoding,[status(esa)],[c1132]) ).

cnf(t288,plain,
    ifeq(tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),true,false,true) = true,
    inference(orient,[status(thm)],[t154]) ).

fof(f1127,axiom,
    ! [X,Y,Z] :
      ( ( genlmt(Y,Z)
        & genlmt(X,Y) )
     => genlmt(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1128) ).

fof(f1127_nnf,plain,
    ! [X,Y,Z] :
      ( genlmt(X,Z)
      | ~ genlmt(Y,Z)
      | ~ genlmt(X,Y) ),
    inference(nnf_transformation,[status(thm)],[f1127]) ).

fof(f1127_sk,plain,
    ! [X,Y,Z] :
      ( genlmt(X,Z)
      | ~ genlmt(Y,Z)
      | ~ genlmt(X,Y) ),
    inference(skolemisation,[status(esa)],[f1127_nnf]) ).

cnf(c1127,plain,
    ( genlmt(X0,X2)
    | ~ genlmt(X1,X2)
    | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1127_sk]) ).

cnf(hi1118,axiom,
    ifeq(genlmt(X0,X1),true,ifeq(genlmt(X1,X2),true,genlmt(X0,X2),true),true) = true,
    inference(equality_encoding,[status(esa)],[c1127]) ).

fof(f314,axiom,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_315) ).

fof(f314_nnf,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(nnf_transformation,[status(thm)],[f314]) ).

cnf(c314,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[status(esa)],[f314_nnf]) ).

cnf(hi310,axiom,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt) = true,
    inference(equality_encoding,[status(esa)],[c314]) ).

fof(f253,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_254) ).

fof(f253_nnf,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(nnf_transformation,[status(thm)],[f253]) ).

cnf(c253,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[status(esa)],[f253_nnf]) ).

cnf(hi250,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt) = true,
    inference(equality_encoding,[status(esa)],[c253]) ).

cnf(h490,plain,
    genlmt(c_tptp_member3993_mt,c_cyclistsmt) = true,
    inference(hyper_resolution,[status(thm)],[hi1118,hi310,hi250]) ).

fof(f1122,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1123) ).

fof(f1122_nnf,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(nnf_transformation,[status(thm)],[f1122]) ).

fof(f1122_sk,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(skolemisation,[status(esa)],[f1122_nnf]) ).

cnf(c1122,plain,
    ( mtvisible(X1)
    | ~ genlmt(X0,X1)
    | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(esa)],[f1122_sk]) ).

cnf(hi1113,axiom,
    ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
    inference(equality_encoding,[status(esa)],[c1122]) ).

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

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

fof(f363,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_364) ).

fof(f363_nnf,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(nnf_transformation,[status(thm)],[f363]) ).

cnf(c363,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(cnf_transformation,[status(esa)],[f363_nnf]) ).

cnf(hi358,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt) = true,
    inference(equality_encoding,[status(esa)],[c363]) ).

cnf(h587,plain,
    mtvisible(c_tptp_member3993_mt) = true,
    inference(hyper_resolution,[status(thm)],[hi1113,hi1122,hi358]) ).

cnf(h1908,plain,
    mtvisible(c_cyclistsmt) = true,
    inference(hyper_resolution,[status(thm)],[hi1113,h587,h490]) ).

fof(f24,axiom,
    ( mtvisible(c_cyclistsmt)
   => ridgeline_topographical(c_tptpridgeline_topographical) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_25) ).

fof(f24_nnf,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(nnf_transformation,[status(thm)],[f24]) ).

fof(f24_sk,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(skolemisation,[status(esa)],[f24_nnf]) ).

cnf(c24,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[status(esa)],[f24_sk]) ).

cnf(hi23,axiom,
    ifeq(mtvisible(c_cyclistsmt),true,ridgeline_topographical(c_tptpridgeline_topographical),true) = true,
    inference(equality_encoding,[status(esa)],[c24]) ).

cnf(h4006,plain,
    ridgeline_topographical(c_tptpridgeline_topographical) = true,
    inference(hyper_resolution,[status(thm)],[hi23,h1908]) ).

fof(f418,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_419) ).

fof(f418_nnf,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    inference(nnf_transformation,[status(thm)],[f418]) ).

cnf(c418,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    inference(cnf_transformation,[status(esa)],[f418_nnf]) ).

cnf(hi413,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt) = true,
    inference(equality_encoding,[status(esa)],[c418]) ).

cnf(h696,plain,
    mtvisible(c_tptp_member235_mt) = true,
    inference(hyper_resolution,[status(thm)],[hi1113,hi1122,hi413]) ).

fof(f104,axiom,
    ! [INS] :
      ( ( ridgeline_topographical(INS)
        & mtvisible(c_tptp_member235_mt) )
     => tptpofobject(INS,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_105) ).

fof(f104_nnf,plain,
    ! [INS] :
      ( tptpofobject(INS,f_tptpquantityfn_13(n_468))
      | ~ ridgeline_topographical(INS)
      | ~ mtvisible(c_tptp_member235_mt) ),
    inference(nnf_transformation,[status(thm)],[f104]) ).

fof(f104_sk,plain,
    ! [INS] :
      ( tptpofobject(INS,f_tptpquantityfn_13(n_468))
      | ~ ridgeline_topographical(INS)
      | ~ mtvisible(c_tptp_member235_mt) ),
    inference(skolemisation,[status(esa)],[f104_nnf]) ).

cnf(c104,plain,
    ( tptpofobject(X0,f_tptpquantityfn_13(n_468))
    | ~ ridgeline_topographical(X0)
    | ~ mtvisible(c_tptp_member235_mt) ),
    inference(cnf_transformation,[status(esa)],[f104_sk]) ).

cnf(hi103,axiom,
    ifeq(mtvisible(c_tptp_member235_mt),true,ifeq(ridgeline_topographical(X0),true,tptpofobject(X0,f_tptpquantityfn_13(n_468)),true),true) = true,
    inference(equality_encoding,[status(esa)],[c104]) ).

cnf(t78,plain,
    tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) = true,
    inference(hyper_resolution,[status(thm)],[hi103,h696,h4006]) ).

cnf(t845,plain,
    tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) = true,
    inference(orient,[status(thm)],[t78]) ).

cnf(t954,plain,
    ifeq(true,true,false,true) = true,
    inference(step,[status(thm)],[t288,t845]) ).

cnf(t81,plain,
    ifeq(X1,X1,X2,X3) = X2,
    introduced(definition) ).

cnf(t208,plain,
    ifeq(X1,X1,X2,X3) = X2,
    inference(orient,[status(thm)],[t81]) ).

cnf(t955,plain,
    false = true,
    inference(step,[status(thm)],[t954,t208]) ).

cnf(t849,plain,
    false = true,
    inference(rw,[status(thm)],[t955]) ).

cnf(t947,plain,
    false = true,
    inference(orient,[status(thm)],[t849]) ).

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,t947]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR065+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 : n003.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 08:51:52 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 60.31/8.13  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 60.31/8.13  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------