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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR056+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 : 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 01:05:34 PM UTC 2026

% Result   : Theorem 6.66s 1.50s
% Output   : Proof 6.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   50 (  26 unt;   0 def)
%            Number of atoms       :   86 (  17 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   70 (  34   ~;  24   |;   6   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :   38 (   2 sgn  23   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f46,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).

fof(f46_nnf,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(nnf_transformation,[status(thm)],[f46]) ).

fof(f46_sk,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(skolemisation,[status(esa)],[f46_nnf]) ).

cnf(c46,plain,
    ( mtvisible(X1)
    | ~ genlmt(X0,X1)
    | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(esa)],[f46_sk]) ).

cnf(hi45,axiom,
    ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
    inference(equality_encoding,[status(esa)],[c46]) ).

fof(f68,conjecture,
    ? [QUANTITY] :
      ( mtvisible(c_tptp_member3717_mt)
     => tptpofobject(c_tptpartsupplies,QUANTITY) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query56) ).

fof(f68_neg,negated_conjecture,
    ~ ? [QUANTITY] :
        ( mtvisible(c_tptp_member3717_mt)
       => tptpofobject(c_tptpartsupplies,QUANTITY) ),
    inference(negated_conjecture,[status(cth)],[f68]) ).

fof(f68_nnf,plain,
    ! [QUANTITY] :
      ( ~ tptpofobject(c_tptpartsupplies,QUANTITY)
      & mtvisible(c_tptp_member3717_mt) ),
    inference(nnf_transformation,[status(thm)],[f68_neg]) ).

fof(f68_sk,plain,
    ! [QUANTITY] :
      ( ~ tptpofobject(c_tptpartsupplies,QUANTITY)
      & mtvisible(c_tptp_member3717_mt) ),
    inference(skolemisation,[status(esa)],[f68_nnf]) ).

cnf(c68,plain,
    mtvisible(c_tptp_member3717_mt),
    inference(cnf_transformation,[status(esa)],[f68_sk]) ).

cnf(hi67,negated_conjecture,
    mtvisible(c_tptp_member3717_mt) = true,
    inference(equality_encoding,[status(esa)],[c68]) ).

fof(f8,axiom,
    genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

fof(f8_nnf,plain,
    genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
    inference(nnf_transformation,[status(thm)],[f8]) ).

cnf(c8,plain,
    genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[status(esa)],[f8_nnf]) ).

cnf(hi8,axiom,
    genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) = true,
    inference(equality_encoding,[status(esa)],[c8]) ).

cnf(h23,plain,
    mtvisible(c_tptp_spindleheadmt) = true,
    inference(hyper_resolution,[status(thm)],[hi45,hi67,hi8]) ).

fof(f7,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).

fof(f7_nnf,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(nnf_transformation,[status(thm)],[f7]) ).

cnf(c7,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[status(esa)],[f7_nnf]) ).

cnf(hi7,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt) = true,
    inference(equality_encoding,[status(esa)],[c7]) ).

cnf(h25,plain,
    mtvisible(c_cyclistsmt) = true,
    inference(hyper_resolution,[status(thm)],[hi45,h23,hi7]) ).

fof(f11,axiom,
    ( mtvisible(c_cyclistsmt)
   => artsupplies(c_tptpartsupplies) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

fof(f11_nnf,plain,
    ( artsupplies(c_tptpartsupplies)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,plain,
    ( artsupplies(c_tptpartsupplies)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(skolemisation,[status(esa)],[f11_nnf]) ).

cnf(c11,plain,
    ( artsupplies(c_tptpartsupplies)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(hi11,axiom,
    ifeq(mtvisible(c_cyclistsmt),true,artsupplies(c_tptpartsupplies),true) = true,
    inference(equality_encoding,[status(esa)],[c11]) ).

cnf(h28,plain,
    artsupplies(c_tptpartsupplies) = true,
    inference(hyper_resolution,[status(thm)],[hi11,h25]) ).

fof(f1,axiom,
    ! [OBJ] :
      ( artsupplies(OBJ)
     => supplies(OBJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).

fof(f1_nnf,plain,
    ! [OBJ] :
      ( supplies(OBJ)
      | ~ artsupplies(OBJ) ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [OBJ] :
      ( supplies(OBJ)
      | ~ artsupplies(OBJ) ),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    ( supplies(X0)
    | ~ artsupplies(X0) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(hi1,axiom,
    ifeq(artsupplies(X0),true,supplies(X0),true) = true,
    inference(equality_encoding,[status(esa)],[c1]) ).

cnf(h31,plain,
    supplies(c_tptpartsupplies) = true,
    inference(hyper_resolution,[status(thm)],[hi1,h28]) ).

fof(f9,axiom,
    ! [INS] :
      ( ( supplies(INS)
        & mtvisible(c_tptp_spindleheadmt) )
     => tptpofobject(INS,f_tptpquantityfn_14(n_232)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).

fof(f9_nnf,plain,
    ! [INS] :
      ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
      | ~ supplies(INS)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(nnf_transformation,[status(thm)],[f9]) ).

fof(f9_sk,plain,
    ! [INS] :
      ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
      | ~ supplies(INS)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(skolemisation,[status(esa)],[f9_nnf]) ).

cnf(c9,plain,
    ( tptpofobject(X0,f_tptpquantityfn_14(n_232))
    | ~ supplies(X0)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(hi9,axiom,
    ifeq(mtvisible(c_tptp_spindleheadmt),true,ifeq(supplies(X0),true,tptpofobject(X0,f_tptpquantityfn_14(n_232)),true),true) = true,
    inference(equality_encoding,[status(esa)],[c9]) ).

cnf(h33,plain,
    tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232)) = true,
    inference(hyper_resolution,[status(thm)],[hi9,h23,h31]) ).

cnf(c69,plain,
    ~ tptpofobject(c_tptpartsupplies,X0),
    inference(cnf_transformation,[status(esa)],[f68_sk]) ).

cnf(hi69,negated_conjecture,
    ifeq(tptpofobject(c_tptpartsupplies,X0),true,false,true) = true,
    inference(equality_encoding,[status(esa)],[c69]) ).

cnf(t0,plain,
    true = false,
    inference(hyper_resolution,[status(thm)],[hi69,h33]) ).

cnf(t528,plain,
    false = true,
    inference(orient,[status(thm)],[t0]) ).

fof(f12,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).

fof(f12_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c12,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c12,c69]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t528]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR056+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37  % Computer : n002.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Fri Sep 25 08:43:19 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.66/1.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.66/1.50  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------