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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR066+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 : n015.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 6.23s 1.24s
% Output   : Proof 6.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   47 (  22 unt;   0 def)
%            Number of atoms       :   84 (  15 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   71 (  34   ~;  24   |;   7   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-4 aty)
%            Number of variables   :   53 (   0 sgn  32   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f30,axiom,
    ! [X] :
      ( shavingrazor_manual(X)
     => isa(X,c_shavingrazor_manual) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).

fof(f30_nnf,plain,
    ! [X] :
      ( isa(X,c_shavingrazor_manual)
      | ~ shavingrazor_manual(X) ),
    inference(nnf_transformation,[status(thm)],[f30]) ).

fof(f30_sk,plain,
    ! [X] :
      ( isa(X,c_shavingrazor_manual)
      | ~ shavingrazor_manual(X) ),
    inference(skolemisation,[status(esa)],[f30_nnf]) ).

cnf(c30,plain,
    ( isa(X0,c_shavingrazor_manual)
    | ~ shavingrazor_manual(X0) ),
    inference(cnf_transformation,[status(esa)],[f30_sk]) ).

cnf(hi29,axiom,
    ifeq(shavingrazor_manual(X0),true,isa(X0,c_shavingrazor_manual),true) = true,
    inference(equality_encoding,[status(esa)],[c30]) ).

fof(f10,axiom,
    shavingrazor_manual(c_theprototypicalshavingrazor_manual),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).

fof(f10_nnf,plain,
    shavingrazor_manual(c_theprototypicalshavingrazor_manual),
    inference(nnf_transformation,[status(thm)],[f10]) ).

cnf(c10,plain,
    shavingrazor_manual(c_theprototypicalshavingrazor_manual),
    inference(cnf_transformation,[status(esa)],[f10_nnf]) ).

cnf(hi10,axiom,
    shavingrazor_manual(c_theprototypicalshavingrazor_manual) = true,
    inference(equality_encoding,[status(esa)],[c10]) ).

cnf(h7,plain,
    isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual) = true,
    inference(hyper_resolution,[status(thm)],[hi29,hi10]) ).

fof(f3,axiom,
    ! [TERM,INDEPCOL,PRED,DEPCOL] :
      ( ( relationexistsall(PRED,DEPCOL,INDEPCOL)
        & isa(TERM,INDEPCOL) )
     => isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).

fof(f3_nnf,plain,
    ! [TERM,INDEPCOL,PRED,DEPCOL] :
      ( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
      | ~ relationexistsall(PRED,DEPCOL,INDEPCOL)
      | ~ isa(TERM,INDEPCOL) ),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ! [TERM,INDEPCOL,PRED,DEPCOL] :
      ( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
      | ~ relationexistsall(PRED,DEPCOL,INDEPCOL)
      | ~ isa(TERM,INDEPCOL) ),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c3,plain,
    ( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
    | ~ relationexistsall(X2,X3,X1)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(hi3,axiom,
    ifeq(isa(X0,X1),true,ifeq(relationexistsall(X2,X3,X1),true,isa(f_relationexistsallfn(X0,X2,X3,X1),X3),true),true) = true,
    inference(equality_encoding,[status(esa)],[c3]) ).

fof(f9,axiom,
    relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).

fof(f9_nnf,plain,
    relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
    inference(nnf_transformation,[status(thm)],[f9]) ).

cnf(c9,plain,
    relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
    inference(cnf_transformation,[status(esa)],[f9_nnf]) ).

cnf(hi9,axiom,
    relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual) = true,
    inference(equality_encoding,[status(esa)],[c9]) ).

cnf(h30,plain,
    isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972) = true,
    inference(hyper_resolution,[status(thm)],[hi3,h7,hi9]) ).

fof(f31,axiom,
    ! [X] :
      ( isa(X,c_tptpcol_16_25972)
     => tptpcol_16_25972(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just32) ).

fof(f31_nnf,plain,
    ! [X] :
      ( tptpcol_16_25972(X)
      | ~ isa(X,c_tptpcol_16_25972) ),
    inference(nnf_transformation,[status(thm)],[f31]) ).

fof(f31_sk,plain,
    ! [X] :
      ( tptpcol_16_25972(X)
      | ~ isa(X,c_tptpcol_16_25972) ),
    inference(skolemisation,[status(esa)],[f31_nnf]) ).

cnf(c31,plain,
    ( tptpcol_16_25972(X0)
    | ~ isa(X0,c_tptpcol_16_25972) ),
    inference(cnf_transformation,[status(esa)],[f31_sk]) ).

cnf(hi30,axiom,
    ifeq(isa(X0,c_tptpcol_16_25972),true,tptpcol_16_25972(X0),true) = true,
    inference(equality_encoding,[status(esa)],[c31]) ).

cnf(h41,plain,
    tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)) = true,
    inference(hyper_resolution,[status(thm)],[hi30,h30]) ).

fof(f8,axiom,
    ! [TERM] :
      ( shavingrazor_manual(TERM)
     => tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

fof(f8_nnf,plain,
    ! [TERM] :
      ( tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM)
      | ~ shavingrazor_manual(TERM) ),
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ! [TERM] :
      ( tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM)
      | ~ shavingrazor_manual(TERM) ),
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c8,plain,
    ( tptp_8_271(f_relationexistsallfn(X0,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),X0)
    | ~ shavingrazor_manual(X0) ),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

cnf(hi8,axiom,
    ifeq(shavingrazor_manual(X0),true,tptp_8_271(f_relationexistsallfn(X0,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),X0),true) = true,
    inference(equality_encoding,[status(esa)],[c8]) ).

cnf(h8,plain,
    tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual) = true,
    inference(hyper_resolution,[status(thm)],[hi8,hi10]) ).

fof(f73,conjecture,
    ? [X] :
      ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
     => ( tptpcol_16_25972(X)
        & tptp_8_271(X,c_theprototypicalshavingrazor_manual) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query66) ).

fof(f73_neg,negated_conjecture,
    ~ ? [X] :
        ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
       => ( tptpcol_16_25972(X)
          & tptp_8_271(X,c_theprototypicalshavingrazor_manual) ) ),
    inference(negated_conjecture,[status(cth)],[f73]) ).

fof(f73_nnf,plain,
    ! [X] :
      ( ( ~ tptpcol_16_25972(X)
        | ~ tptp_8_271(X,c_theprototypicalshavingrazor_manual) )
      & mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21)) ),
    inference(nnf_transformation,[status(thm)],[f73_neg]) ).

fof(f73_sk,plain,
    ! [X] :
      ( ( ~ tptpcol_16_25972(X)
        | ~ tptp_8_271(X,c_theprototypicalshavingrazor_manual) )
      & mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21)) ),
    inference(skolemisation,[status(esa)],[f73_nnf]) ).

cnf(c74,plain,
    ( ~ tptpcol_16_25972(X0)
    | ~ tptp_8_271(X0,c_theprototypicalshavingrazor_manual) ),
    inference(cnf_transformation,[status(esa)],[f73_sk]) ).

cnf(hi74,negated_conjecture,
    ifeq(tptp_8_271(X0,c_theprototypicalshavingrazor_manual),true,ifeq(tptpcol_16_25972(X0),true,false,true),true) = true,
    inference(equality_encoding,[status(esa)],[c74]) ).

cnf(t0,plain,
    true = false,
    inference(hyper_resolution,[status(thm)],[hi74,h8,h41]) ).

cnf(t430,plain,
    false = true,
    inference(orient,[status(thm)],[t0]) ).

fof(f11,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

fof(f11_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f11_nnf]) ).

cnf(c11,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c11,c74]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t430]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR066+1 : 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 : n015.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 08:54:11 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.23/1.24  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.23/1.24  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------