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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR045+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/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 01:05:27 PM UTC 2026

% Result   : Theorem 6.39s 11.32s
% Output   : Proof 6.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   89 (  53 unt;   0 def)
%            Number of atoms       :  145 (  27 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  115 (  59   ~;  42   |;   8   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  11 con; 0-4 aty)
%            Number of variables   :   96 (   2 sgn  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f75,axiom,
    ! [ARG1,OLD,NEW] :
      ( ( genls(OLD,NEW)
        & genls(ARG1,OLD) )
     => genls(ARG1,NEW) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just76) ).

fof(f75_nnf,plain,
    ! [ARG1,OLD,NEW] :
      ( genls(ARG1,NEW)
      | ~ genls(OLD,NEW)
      | ~ genls(ARG1,OLD) ),
    inference(nnf_transformation,[status(thm)],[f75]) ).

fof(f75_sk,plain,
    ! [ARG1,OLD,NEW] :
      ( genls(ARG1,NEW)
      | ~ genls(OLD,NEW)
      | ~ genls(ARG1,OLD) ),
    inference(skolemisation,[status(esa)],[f75_nnf]) ).

cnf(c75,plain,
    ( genls(X0,X2)
    | ~ genls(X1,X2)
    | ~ genls(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f75_sk]) ).

cnf(hi72,axiom,
    ifeq(genls(X0,X1),true,ifeq(genls(X1,X2),true,genls(X0,X2),true),true) = true,
    inference(equality_encoding,[status(esa)],[c75]) ).

fof(f6,axiom,
    genls(c_aspatialinformationstore,c_intangibleindividual),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).

fof(f6_nnf,plain,
    genls(c_aspatialinformationstore,c_intangibleindividual),
    inference(nnf_transformation,[status(thm)],[f6]) ).

cnf(c6,plain,
    genls(c_aspatialinformationstore,c_intangibleindividual),
    inference(cnf_transformation,[status(esa)],[f6_nnf]) ).

cnf(hi6,axiom,
    genls(c_aspatialinformationstore,c_intangibleindividual) = true,
    inference(equality_encoding,[status(esa)],[c6]) ).

fof(f4,axiom,
    genls(c_intangibleindividual,c_partiallyintangibleindividual),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).

fof(f4_nnf,plain,
    genls(c_intangibleindividual,c_partiallyintangibleindividual),
    inference(nnf_transformation,[status(thm)],[f4]) ).

cnf(c4,plain,
    genls(c_intangibleindividual,c_partiallyintangibleindividual),
    inference(cnf_transformation,[status(esa)],[f4_nnf]) ).

cnf(hi4,axiom,
    genls(c_intangibleindividual,c_partiallyintangibleindividual) = true,
    inference(equality_encoding,[status(esa)],[c4]) ).

cnf(h10,plain,
    genls(c_aspatialinformationstore,c_partiallyintangibleindividual) = true,
    inference(hyper_resolution,[status(thm)],[hi72,hi6,hi4]) ).

fof(f43,axiom,
    ! [ARG1,OLD,NEW] :
      ( ( genls(NEW,OLD)
        & disjointwith(ARG1,OLD) )
     => disjointwith(ARG1,NEW) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just44) ).

fof(f43_nnf,plain,
    ! [ARG1,OLD,NEW] :
      ( disjointwith(ARG1,NEW)
      | ~ genls(NEW,OLD)
      | ~ disjointwith(ARG1,OLD) ),
    inference(nnf_transformation,[status(thm)],[f43]) ).

fof(f43_sk,plain,
    ! [ARG1,OLD,NEW] :
      ( disjointwith(ARG1,NEW)
      | ~ genls(NEW,OLD)
      | ~ disjointwith(ARG1,OLD) ),
    inference(skolemisation,[status(esa)],[f43_nnf]) ).

cnf(c43,plain,
    ( disjointwith(X0,X2)
    | ~ genls(X2,X1)
    | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f43_sk]) ).

cnf(hi40,axiom,
    ifeq(disjointwith(X0,X1),true,ifeq(genls(X2,X1),true,disjointwith(X0,X2),true),true) = true,
    inference(equality_encoding,[status(esa)],[c43]) ).

fof(f15,axiom,
    disjointwith(c_collection,c_individual),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).

fof(f15_nnf,plain,
    disjointwith(c_collection,c_individual),
    inference(nnf_transformation,[status(thm)],[f15]) ).

cnf(c15,plain,
    disjointwith(c_collection,c_individual),
    inference(cnf_transformation,[status(esa)],[f15_nnf]) ).

cnf(hi14,axiom,
    disjointwith(c_collection,c_individual) = true,
    inference(equality_encoding,[status(esa)],[c15]) ).

fof(f8,axiom,
    genls(c_partiallyintangibleindividual,c_individual),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

fof(f8_nnf,plain,
    genls(c_partiallyintangibleindividual,c_individual),
    inference(nnf_transformation,[status(thm)],[f8]) ).

cnf(c8,plain,
    genls(c_partiallyintangibleindividual,c_individual),
    inference(cnf_transformation,[status(esa)],[f8_nnf]) ).

cnf(hi8,axiom,
    genls(c_partiallyintangibleindividual,c_individual) = true,
    inference(equality_encoding,[status(esa)],[c8]) ).

cnf(h17,plain,
    disjointwith(c_collection,c_partiallyintangibleindividual) = true,
    inference(hyper_resolution,[status(thm)],[hi40,hi14,hi8]) ).

cnf(h57,plain,
    disjointwith(c_collection,c_aspatialinformationstore) = true,
    inference(hyper_resolution,[status(thm)],[hi40,h17,h10]) ).

fof(f12,axiom,
    genls(c_applicationcontext,c_microtheory),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).

fof(f12_nnf,plain,
    genls(c_applicationcontext,c_microtheory),
    inference(nnf_transformation,[status(thm)],[f12]) ).

cnf(c12,plain,
    genls(c_applicationcontext,c_microtheory),
    inference(cnf_transformation,[status(esa)],[f12_nnf]) ).

cnf(hi12,axiom,
    genls(c_applicationcontext,c_microtheory) = true,
    inference(equality_encoding,[status(esa)],[c12]) ).

fof(f1,axiom,
    genls(c_microtheory,c_aspatialinformationstore),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).

fof(f1_nnf,plain,
    genls(c_microtheory,c_aspatialinformationstore),
    inference(nnf_transformation,[status(thm)],[f1]) ).

cnf(c1,plain,
    genls(c_microtheory,c_aspatialinformationstore),
    inference(cnf_transformation,[status(esa)],[f1_nnf]) ).

cnf(hi1,axiom,
    genls(c_microtheory,c_aspatialinformationstore) = true,
    inference(equality_encoding,[status(esa)],[c1]) ).

cnf(h15,plain,
    genls(c_applicationcontext,c_aspatialinformationstore) = true,
    inference(hyper_resolution,[status(thm)],[hi72,hi12,hi1]) ).

fof(f77,axiom,
    ! [X] :
      ( applicationcontext(X)
     => isa(X,c_applicationcontext) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just78) ).

fof(f77_nnf,plain,
    ! [X] :
      ( isa(X,c_applicationcontext)
      | ~ applicationcontext(X) ),
    inference(nnf_transformation,[status(thm)],[f77]) ).

fof(f77_sk,plain,
    ! [X] :
      ( isa(X,c_applicationcontext)
      | ~ applicationcontext(X) ),
    inference(skolemisation,[status(esa)],[f77_nnf]) ).

cnf(c77,plain,
    ( isa(X0,c_applicationcontext)
    | ~ applicationcontext(X0) ),
    inference(cnf_transformation,[status(esa)],[f77_sk]) ).

cnf(hi74,axiom,
    ifeq(applicationcontext(X0),true,isa(X0,c_applicationcontext),true) = true,
    inference(equality_encoding,[status(esa)],[c77]) ).

fof(f0,axiom,
    applicationcontext(c_wamt_evalinitial_p14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).

fof(f0_nnf,plain,
    applicationcontext(c_wamt_evalinitial_p14),
    inference(nnf_transformation,[status(thm)],[f0]) ).

cnf(c0,plain,
    applicationcontext(c_wamt_evalinitial_p14),
    inference(cnf_transformation,[status(esa)],[f0_nnf]) ).

cnf(hi0,axiom,
    applicationcontext(c_wamt_evalinitial_p14) = true,
    inference(equality_encoding,[status(esa)],[c0]) ).

cnf(h0,plain,
    isa(c_wamt_evalinitial_p14,c_applicationcontext) = true,
    inference(hyper_resolution,[status(thm)],[hi74,hi0]) ).

fof(f82,axiom,
    ! [ARG1,OLD,NEW] :
      ( ( genls(OLD,NEW)
        & isa(ARG1,OLD) )
     => isa(ARG1,NEW) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just83) ).

fof(f82_nnf,plain,
    ! [ARG1,OLD,NEW] :
      ( isa(ARG1,NEW)
      | ~ genls(OLD,NEW)
      | ~ isa(ARG1,OLD) ),
    inference(nnf_transformation,[status(thm)],[f82]) ).

fof(f82_sk,plain,
    ! [ARG1,OLD,NEW] :
      ( isa(ARG1,NEW)
      | ~ genls(OLD,NEW)
      | ~ isa(ARG1,OLD) ),
    inference(skolemisation,[status(esa)],[f82_nnf]) ).

cnf(c82,plain,
    ( isa(X0,X2)
    | ~ genls(X1,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f82_sk]) ).

cnf(hi79,axiom,
    ifeq(isa(X0,X1),true,ifeq(genls(X1,X2),true,isa(X0,X2),true),true) = true,
    inference(equality_encoding,[status(esa)],[c82]) ).

cnf(h53,plain,
    isa(c_wamt_evalinitial_p14,c_aspatialinformationstore) = true,
    inference(hyper_resolution,[status(thm)],[hi79,h0,h15]) ).

fof(f70,axiom,
    ! [INS,ARG2] :
      ( genls(INS,ARG2)
     => collection(INS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just71) ).

fof(f70_nnf,plain,
    ! [INS,ARG2] :
      ( collection(INS)
      | ~ genls(INS,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f70]) ).

fof(f70_sk,plain,
    ! [INS,ARG2] :
      ( collection(INS)
      | ~ genls(INS,ARG2) ),
    inference(skolemisation,[status(esa)],[f70_nnf]) ).

cnf(c70,plain,
    ( collection(X0)
    | ~ genls(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f70_sk]) ).

cnf(hi67,axiom,
    ifeq(genls(X0,X1),true,collection(X0),true) = true,
    inference(equality_encoding,[status(esa)],[c70]) ).

fof(f84,conjecture,
    ~ genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query45) ).

fof(f84_neg,negated_conjecture,
    ~ ~ genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088),
    inference(negated_conjecture,[status(cth)],[f84]) ).

fof(f84_nnf,plain,
    genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088),
    inference(nnf_transformation,[status(thm)],[f84_neg]) ).

cnf(c84,plain,
    genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088),
    inference(cnf_transformation,[status(esa)],[f84_nnf]) ).

cnf(hi81,negated_conjecture,
    genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088) = true,
    inference(equality_encoding,[status(esa)],[c84]) ).

cnf(h21,plain,
    collection(c_wamt_evalinitial_p14) = true,
    inference(hyper_resolution,[status(thm)],[hi67,hi81]) ).

fof(f39,axiom,
    ! [X] :
      ( collection(X)
     => isa(X,c_collection) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just40) ).

fof(f39_nnf,plain,
    ! [X] :
      ( isa(X,c_collection)
      | ~ collection(X) ),
    inference(nnf_transformation,[status(thm)],[f39]) ).

fof(f39_sk,plain,
    ! [X] :
      ( isa(X,c_collection)
      | ~ collection(X) ),
    inference(skolemisation,[status(esa)],[f39_nnf]) ).

cnf(c39,plain,
    ( isa(X0,c_collection)
    | ~ collection(X0) ),
    inference(cnf_transformation,[status(esa)],[f39_sk]) ).

cnf(hi36,axiom,
    ifeq(collection(X0),true,isa(X0,c_collection),true) = true,
    inference(equality_encoding,[status(esa)],[c39]) ).

cnf(h63,plain,
    isa(c_wamt_evalinitial_p14,c_collection) = true,
    inference(hyper_resolution,[status(thm)],[hi36,h21]) ).

fof(f20,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just21) ).

fof(f20_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f20]) ).

fof(f20_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f20_nnf]) ).

cnf(c20,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f20_sk]) ).

cnf(hi84,axiom,
    ifeq(isa(X0,X1),true,ifeq(isa(X0,X2),true,ifeq(disjointwith(X1,X2),true,false,true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c20]) ).

cnf(t0,plain,
    true = false,
    inference(hyper_resolution,[status(thm)],[hi84,h63,h53,h57]) ).

cnf(t1182,plain,
    false = true,
    inference(orient,[status(thm)],[t0]) ).

fof(f14,axiom,
    ! [OBJ] :
      ~ ( individual(OBJ)
        & collection(OBJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).

fof(f14_nnf,plain,
    ! [OBJ] :
      ( ~ individual(OBJ)
      | ~ collection(OBJ) ),
    inference(nnf_transformation,[status(thm)],[f14]) ).

fof(f14_sk,plain,
    ! [OBJ] :
      ( ~ individual(OBJ)
      | ~ collection(OBJ) ),
    inference(skolemisation,[status(esa)],[f14_nnf]) ).

cnf(c14,plain,
    ( ~ individual(X0)
    | ~ collection(X0) ),
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

fof(f16,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just17) ).

fof(f16_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f16]) ).

fof(f16_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f16_nnf]) ).

cnf(c16,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f16_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c14,c16,c20]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t1182]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR045+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/10.38  % Computer : n013.cluster.edu
% 0.10/10.38  % Model    : x86_64 x86_64
% 0.10/10.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38  % Memory   : 8046.5625MB
% 0.10/10.38  % OS       : Linux 6.8.0-71-generic
% 0.10/10.39  % CPULimit : 300
% 0.10/10.39  % WCLimit  : 300
% 0.10/10.39  % DateTime : Fri Sep 25 08:29:02 UTC 2026
% 0.10/10.39  % CPUTime  : 
% 0.10/10.39  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.39/11.32  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.39/11.32  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------