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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR070+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 : n014.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 01:05:43 PM UTC 2026

% Result   : Theorem 5.15s 6.35s
% Output   : Proof 5.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   57 (  25 unt;   0 def)
%            Number of atoms       :   97 (  19 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   77 (  37   ~;  27   |;   5   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-4 aty)
%            Number of variables   :   62 (   0 sgn  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f56,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).

fof(f56_nnf,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(nnf_transformation,[status(thm)],[f56]) ).

fof(f56_sk,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(skolemisation,[status(esa)],[f56_nnf]) ).

cnf(c56,plain,
    ( mtvisible(X1)
    | ~ genlmt(X0,X1)
    | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(esa)],[f56_sk]) ).

cnf(hi55,axiom,
    ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
    inference(equality_encoding,[status(esa)],[c56]) ).

fof(f79,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query70) ).

fof(f79_neg,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(negated_conjecture,[status(cth)],[f79]) ).

fof(f79_nnf,plain,
    ( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(nnf_transformation,[status(thm)],[f79_neg]) ).

fof(f79_sk,plain,
    ( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(skolemisation,[status(esa)],[f79_nnf]) ).

cnf(c79,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[status(esa)],[f79_sk]) ).

cnf(hi78,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt) = true,
    inference(equality_encoding,[status(esa)],[c79]) ).

fof(f15,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).

fof(f15_nnf,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(nnf_transformation,[status(thm)],[f15]) ).

cnf(c15,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(cnf_transformation,[status(esa)],[f15_nnf]) ).

cnf(hi15,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt) = true,
    inference(equality_encoding,[status(esa)],[c15]) ).

cnf(h33,plain,
    mtvisible(c_tptp_member2668_mt) = true,
    inference(hyper_resolution,[status(thm)],[hi55,hi78,hi15]) ).

fof(f18,axiom,
    ( mtvisible(c_tptp_member2668_mt)
   => tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).

fof(f18_nnf,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(nnf_transformation,[status(thm)],[f18]) ).

fof(f18_sk,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(skolemisation,[status(esa)],[f18_nnf]) ).

cnf(c18,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(hi18,axiom,
    ifeq(mtvisible(c_tptp_member2668_mt),true,tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),true) = true,
    inference(equality_encoding,[status(esa)],[c18]) ).

cnf(h36,plain,
    tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) = true,
    inference(hyper_resolution,[status(thm)],[hi18,h33]) ).

fof(f13,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_9_824(ARG1,ARG2)
     => tptptypes_8_823(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).

fof(f13_nnf,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_8_823(ARG1,ARG2)
      | ~ tptptypes_9_824(ARG1,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f13]) ).

fof(f13_sk,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_8_823(ARG1,ARG2)
      | ~ tptptypes_9_824(ARG1,ARG2) ),
    inference(skolemisation,[status(esa)],[f13_nnf]) ).

cnf(c13,plain,
    ( tptptypes_8_823(X0,X1)
    | ~ tptptypes_9_824(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f13_sk]) ).

cnf(hi13,axiom,
    ifeq(tptptypes_9_824(X0,X1),true,tptptypes_8_823(X0,X1),true) = true,
    inference(equality_encoding,[status(esa)],[c13]) ).

cnf(h69,plain,
    tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) = true,
    inference(hyper_resolution,[status(thm)],[hi13,h36]) ).

fof(f11,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_823(ARG1,ARG2)
     => tptptypes_7_819(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

fof(f11_nnf,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_7_819(ARG1,ARG2)
      | ~ tptptypes_8_823(ARG1,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_7_819(ARG1,ARG2)
      | ~ tptptypes_8_823(ARG1,ARG2) ),
    inference(skolemisation,[status(esa)],[f11_nnf]) ).

cnf(c11,plain,
    ( tptptypes_7_819(X0,X1)
    | ~ tptptypes_8_823(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(hi11,axiom,
    ifeq(tptptypes_8_823(X0,X1),true,tptptypes_7_819(X0,X1),true) = true,
    inference(equality_encoding,[status(esa)],[c11]) ).

cnf(h70,plain,
    tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) = true,
    inference(hyper_resolution,[status(thm)],[hi11,h69]) ).

fof(f9,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_819(ARG1,ARG2)
     => tptptypes_6_818(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

fof(f9_nnf,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_818(ARG1,ARG2)
      | ~ tptptypes_7_819(ARG1,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f9]) ).

fof(f9_sk,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_818(ARG1,ARG2)
      | ~ tptptypes_7_819(ARG1,ARG2) ),
    inference(skolemisation,[status(esa)],[f9_nnf]) ).

cnf(c9,plain,
    ( tptptypes_6_818(X0,X1)
    | ~ tptptypes_7_819(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(hi9,axiom,
    ifeq(tptptypes_7_819(X0,X1),true,tptptypes_6_818(X0,X1),true) = true,
    inference(equality_encoding,[status(esa)],[c9]) ).

cnf(h71,plain,
    tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) = true,
    inference(hyper_resolution,[status(thm)],[hi9,h70]) ).

fof(f7,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_818(ARG1,ARG2)
     => tptptypes_5_802(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).

fof(f7_nnf,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_802(ARG1,ARG2)
      | ~ tptptypes_6_818(ARG1,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f7]) ).

fof(f7_sk,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_802(ARG1,ARG2)
      | ~ tptptypes_6_818(ARG1,ARG2) ),
    inference(skolemisation,[status(esa)],[f7_nnf]) ).

cnf(c7,plain,
    ( tptptypes_5_802(X0,X1)
    | ~ tptptypes_6_818(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

cnf(hi7,axiom,
    ifeq(tptptypes_6_818(X0,X1),true,tptptypes_5_802(X0,X1),true) = true,
    inference(equality_encoding,[status(esa)],[c7]) ).

cnf(h72,plain,
    tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) = true,
    inference(hyper_resolution,[status(thm)],[hi7,h71]) ).

cnf(c80,plain,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(cnf_transformation,[status(esa)],[f79_sk]) ).

cnf(hi80,negated_conjecture,
    ifeq(tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),true,false,true) = true,
    inference(equality_encoding,[status(esa)],[c80]) ).

cnf(t0,plain,
    true = false,
    inference(hyper_resolution,[status(thm)],[hi80,h72]) ).

cnf(t757,plain,
    false = true,
    inference(orient,[status(thm)],[t0]) ).

fof(f19,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just20) ).

fof(f19_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f19]) ).

fof(f19_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f19_nnf]) ).

cnf(c19,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f19_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c19,c80]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t757]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR070+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/5.55  % Computer : n014.cluster.edu
% 0.08/5.55  % Model    : x86_64 x86_64
% 0.08/5.55  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.55  % Memory   : 8046.5625MB
% 0.08/5.55  % OS       : Linux 6.8.0-71-generic
% 0.08/5.55  % CPULimit : 300
% 0.08/5.55  % WCLimit  : 300
% 0.08/5.55  % DateTime : Fri Sep 25 08:54:24 UTC 2026
% 0.08/5.55  % CPUTime  : 
% 0.08/5.55  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.15/6.35  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.15/6.35  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------