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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR062+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 : n016.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 01:05:38 PM UTC 2026

% Result   : Theorem 7.94s 1.62s
% Output   : Proof 7.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   61 (  29 unt;   0 def)
%            Number of atoms       :  105 (  20 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   84 (  40   ~;  30   |;   6   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :   73 (   2 sgn  44   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f57,axiom,
    ! [X,Y,Z] :
      ( ( genlmt(Y,Z)
        & genlmt(X,Y) )
     => genlmt(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just58) ).

fof(f57_nnf,plain,
    ! [X,Y,Z] :
      ( genlmt(X,Z)
      | ~ genlmt(Y,Z)
      | ~ genlmt(X,Y) ),
    inference(nnf_transformation,[status(thm)],[f57]) ).

fof(f57_sk,plain,
    ! [X,Y,Z] :
      ( genlmt(X,Z)
      | ~ genlmt(Y,Z)
      | ~ genlmt(X,Y) ),
    inference(skolemisation,[status(esa)],[f57_nnf]) ).

cnf(c57,plain,
    ( genlmt(X0,X2)
    | ~ genlmt(X1,X2)
    | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f57_sk]) ).

cnf(hi56,axiom,
    ifeq(genlmt(X0,X1),true,ifeq(genlmt(X1,X2),true,genlmt(X0,X2),true),true) = true,
    inference(equality_encoding,[status(esa)],[c57]) ).

fof(f12,axiom,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).

fof(f12_nnf,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(nnf_transformation,[status(thm)],[f12]) ).

cnf(c12,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[status(esa)],[f12_nnf]) ).

cnf(hi12,axiom,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt) = true,
    inference(equality_encoding,[status(esa)],[c12]) ).

fof(f11,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

fof(f11_nnf,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(nnf_transformation,[status(thm)],[f11]) ).

cnf(c11,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[status(esa)],[f11_nnf]) ).

cnf(hi11,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt) = true,
    inference(equality_encoding,[status(esa)],[c11]) ).

cnf(h19,plain,
    genlmt(c_tptp_member3205_mt,c_cyclistsmt) = true,
    inference(hyper_resolution,[status(thm)],[hi56,hi12,hi11]) ).

fof(f52,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).

fof(f52_nnf,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(nnf_transformation,[status(thm)],[f52]) ).

fof(f52_sk,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(skolemisation,[status(esa)],[f52_nnf]) ).

cnf(c52,plain,
    ( mtvisible(X1)
    | ~ genlmt(X0,X1)
    | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(hi51,axiom,
    ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
    inference(equality_encoding,[status(esa)],[c52]) ).

fof(f61,conjecture,
    ? [ARG1] :
      ( mtvisible(c_tptp_member3205_mt)
     => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query62) ).

fof(f61_neg,negated_conjecture,
    ~ ? [ARG1] :
        ( mtvisible(c_tptp_member3205_mt)
       => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    inference(negated_conjecture,[status(cth)],[f61]) ).

fof(f61_nnf,plain,
    ! [ARG1] :
      ( ~ tptptypes_5_387(ARG1,c_pushingwithfingers)
      & mtvisible(c_tptp_member3205_mt) ),
    inference(nnf_transformation,[status(thm)],[f61_neg]) ).

fof(f61_sk,plain,
    ! [ARG1] :
      ( ~ tptptypes_5_387(ARG1,c_pushingwithfingers)
      & mtvisible(c_tptp_member3205_mt) ),
    inference(skolemisation,[status(esa)],[f61_nnf]) ).

cnf(c61,plain,
    mtvisible(c_tptp_member3205_mt),
    inference(cnf_transformation,[status(esa)],[f61_sk]) ).

cnf(hi60,negated_conjecture,
    mtvisible(c_tptp_member3205_mt) = true,
    inference(equality_encoding,[status(esa)],[c61]) ).

cnf(h45,plain,
    mtvisible(c_cyclistsmt) = true,
    inference(hyper_resolution,[status(thm)],[hi51,hi60,h19]) ).

fof(f13,axiom,
    ( mtvisible(c_cyclistsmt)
   => tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).

fof(f13_nnf,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(nnf_transformation,[status(thm)],[f13]) ).

fof(f13_sk,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(skolemisation,[status(esa)],[f13_nnf]) ).

cnf(c13,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[status(esa)],[f13_sk]) ).

cnf(hi13,axiom,
    ifeq(mtvisible(c_cyclistsmt),true,tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027),true) = true,
    inference(equality_encoding,[status(esa)],[c13]) ).

cnf(h50,plain,
    tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) = true,
    inference(hyper_resolution,[status(thm)],[hi13,h45]) ).

fof(f10,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_390(ARG1,ARG2)
     => tptptypes_7_389(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).

fof(f10_nnf,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
      | ~ tptptypes_8_390(ARG1,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f10]) ).

fof(f10_sk,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
      | ~ tptptypes_8_390(ARG1,ARG2) ),
    inference(skolemisation,[status(esa)],[f10_nnf]) ).

cnf(c10,plain,
    ( tptptypes_7_389(X0,X1)
    | ~ tptptypes_8_390(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

cnf(hi10,axiom,
    ifeq(tptptypes_8_390(X0,X1),true,tptptypes_7_389(X0,X1),true) = true,
    inference(equality_encoding,[status(esa)],[c10]) ).

cnf(h54,plain,
    tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027) = true,
    inference(hyper_resolution,[status(thm)],[hi10,h50]) ).

fof(f8,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
     => tptptypes_6_388(ARG2,ARG1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

fof(f8_nnf,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG2,ARG1)
      | ~ tptptypes_7_389(ARG1,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG2,ARG1)
      | ~ tptptypes_7_389(ARG1,ARG2) ),
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c8,plain,
    ( tptptypes_6_388(X1,X0)
    | ~ tptptypes_7_389(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

cnf(hi8,axiom,
    ifeq(tptptypes_7_389(X0,X1),true,tptptypes_6_388(X1,X0),true) = true,
    inference(equality_encoding,[status(esa)],[c8]) ).

cnf(h55,plain,
    tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers) = true,
    inference(hyper_resolution,[status(thm)],[hi8,h54]) ).

fof(f6,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).

fof(f6_nnf,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_387(ARG1,ARG2)
      | ~ tptptypes_6_388(ARG1,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f6]) ).

fof(f6_sk,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_387(ARG1,ARG2)
      | ~ tptptypes_6_388(ARG1,ARG2) ),
    inference(skolemisation,[status(esa)],[f6_nnf]) ).

cnf(c6,plain,
    ( tptptypes_5_387(X0,X1)
    | ~ tptptypes_6_388(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

cnf(hi6,axiom,
    ifeq(tptptypes_6_388(X0,X1),true,tptptypes_5_387(X0,X1),true) = true,
    inference(equality_encoding,[status(esa)],[c6]) ).

cnf(h56,plain,
    tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers) = true,
    inference(hyper_resolution,[status(thm)],[hi6,h55]) ).

cnf(c62,plain,
    ~ tptptypes_5_387(X0,c_pushingwithfingers),
    inference(cnf_transformation,[status(esa)],[f61_sk]) ).

cnf(hi62,negated_conjecture,
    ifeq(tptptypes_5_387(X0,c_pushingwithfingers),true,false,true) = true,
    inference(equality_encoding,[status(esa)],[c62]) ).

cnf(t0,plain,
    true = false,
    inference(hyper_resolution,[status(thm)],[hi62,h56]) ).

cnf(t568,plain,
    false = true,
    inference(orient,[status(thm)],[t0]) ).

fof(f14,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).

fof(f14_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f14]) ).

fof(f14_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f14_nnf]) ).

cnf(c14,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f14_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c14,c62]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t568]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR062+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36  % Computer : n016.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Fri Sep 25 08:51:43 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.94/1.62  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.94/1.62  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------