↑ Up

FindProof---0.1.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR073+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 : n003.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 01:05:45 PM UTC 2026

% Result   : Theorem 6.94s 1.56s
% Output   : Proof 6.94s
% 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    :    7 (   7 usr;   6 con; 0-4 aty)
%            Number of variables   :   68 (   2 sgn  41   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f58,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just59) ).

fof(f58_nnf,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(nnf_transformation,[status(thm)],[f58]) ).

fof(f58_sk,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(skolemisation,[status(esa)],[f58_nnf]) ).

cnf(c58,plain,
    ( mtvisible(X1)
    | ~ genlmt(X0,X1)
    | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(esa)],[f58_sk]) ).

cnf(hi57,axiom,
    ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
    inference(equality_encoding,[status(esa)],[c58]) ).

fof(f67,conjecture,
    ? [ARG1] :
      ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_387(ARG1,c_pushingababycarriage) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query73) ).

fof(f67_neg,negated_conjecture,
    ~ ? [ARG1] :
        ( mtvisible(c_tptp_spindlecollectormt)
       => tptptypes_5_387(ARG1,c_pushingababycarriage) ),
    inference(negated_conjecture,[status(cth)],[f67]) ).

fof(f67_nnf,plain,
    ! [ARG1] :
      ( ~ tptptypes_5_387(ARG1,c_pushingababycarriage)
      & mtvisible(c_tptp_spindlecollectormt) ),
    inference(nnf_transformation,[status(thm)],[f67_neg]) ).

fof(f67_sk,plain,
    ! [ARG1] :
      ( ~ tptptypes_5_387(ARG1,c_pushingababycarriage)
      & mtvisible(c_tptp_spindlecollectormt) ),
    inference(skolemisation,[status(esa)],[f67_nnf]) ).

cnf(c67,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[status(esa)],[f67_sk]) ).

cnf(hi66,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt) = true,
    inference(equality_encoding,[status(esa)],[c67]) ).

fof(f14,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).

fof(f14_nnf,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
    inference(nnf_transformation,[status(thm)],[f14]) ).

cnf(c14,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
    inference(cnf_transformation,[status(esa)],[f14_nnf]) ).

cnf(hi14,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt) = true,
    inference(equality_encoding,[status(esa)],[c14]) ).

cnf(h22,plain,
    mtvisible(c_tptp_member237_mt) = true,
    inference(hyper_resolution,[status(thm)],[hi57,hi66,hi14]) ).

fof(f17,axiom,
    ( mtvisible(c_tptp_member237_mt)
   => tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just18) ).

fof(f17_nnf,plain,
    ( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
    | ~ mtvisible(c_tptp_member237_mt) ),
    inference(nnf_transformation,[status(thm)],[f17]) ).

fof(f17_sk,plain,
    ( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
    | ~ mtvisible(c_tptp_member237_mt) ),
    inference(skolemisation,[status(esa)],[f17_nnf]) ).

cnf(c17,plain,
    ( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
    | ~ mtvisible(c_tptp_member237_mt) ),
    inference(cnf_transformation,[status(esa)],[f17_sk]) ).

cnf(hi17,axiom,
    ifeq(mtvisible(c_tptp_member237_mt),true,tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258),true) = true,
    inference(equality_encoding,[status(esa)],[c17]) ).

cnf(h51,plain,
    tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) = true,
    inference(hyper_resolution,[status(thm)],[hi17,h22]) ).

fof(f12,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_9_401(ARG1,ARG2)
     => tptptypes_8_400(ARG2,ARG1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).

fof(f12_nnf,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_8_400(ARG2,ARG1)
      | ~ tptptypes_9_401(ARG1,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_8_400(ARG2,ARG1)
      | ~ tptptypes_9_401(ARG1,ARG2) ),
    inference(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c12,plain,
    ( tptptypes_8_400(X1,X0)
    | ~ tptptypes_9_401(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

cnf(hi12,axiom,
    ifeq(tptptypes_9_401(X0,X1),true,tptptypes_8_400(X1,X0),true) = true,
    inference(equality_encoding,[status(esa)],[c12]) ).

cnf(h69,plain,
    tptptypes_8_400(c_tptpcol_16_10258,c_pushingababycarriage) = true,
    inference(hyper_resolution,[status(thm)],[hi12,h51]) ).

fof(f10,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_400(ARG1,ARG2)
     => tptptypes_7_396(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

fof(f10_nnf,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_7_396(ARG1,ARG2)
      | ~ tptptypes_8_400(ARG1,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f10]) ).

fof(f10_sk,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_7_396(ARG1,ARG2)
      | ~ tptptypes_8_400(ARG1,ARG2) ),
    inference(skolemisation,[status(esa)],[f10_nnf]) ).

cnf(c10,plain,
    ( tptptypes_7_396(X0,X1)
    | ~ tptptypes_8_400(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

cnf(hi10,axiom,
    ifeq(tptptypes_8_400(X0,X1),true,tptptypes_7_396(X0,X1),true) = true,
    inference(equality_encoding,[status(esa)],[c10]) ).

cnf(h71,plain,
    tptptypes_7_396(c_tptpcol_16_10258,c_pushingababycarriage) = true,
    inference(hyper_resolution,[status(thm)],[hi10,h69]) ).

fof(f8,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_396(ARG1,ARG2)
     => tptptypes_6_388(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

fof(f8_nnf,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
      | ~ tptptypes_7_396(ARG1,ARG2) ),
    inference(nnf_transformation,[status(thm)],[f8]) ).

fof(f8_sk,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
      | ~ tptptypes_7_396(ARG1,ARG2) ),
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c8,plain,
    ( tptptypes_6_388(X0,X1)
    | ~ tptptypes_7_396(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

cnf(hi8,axiom,
    ifeq(tptptypes_7_396(X0,X1),true,tptptypes_6_388(X0,X1),true) = true,
    inference(equality_encoding,[status(esa)],[c8]) ).

cnf(h72,plain,
    tptptypes_6_388(c_tptpcol_16_10258,c_pushingababycarriage) = true,
    inference(hyper_resolution,[status(thm)],[hi8,h71]) ).

fof(f6,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/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(h73,plain,
    tptptypes_5_387(c_tptpcol_16_10258,c_pushingababycarriage) = true,
    inference(hyper_resolution,[status(thm)],[hi6,h72]) ).

cnf(c68,plain,
    ~ tptptypes_5_387(X0,c_pushingababycarriage),
    inference(cnf_transformation,[status(esa)],[f67_sk]) ).

cnf(hi68,negated_conjecture,
    ifeq(tptptypes_5_387(X0,c_pushingababycarriage),true,false,true) = true,
    inference(equality_encoding,[status(esa)],[c68]) ).

cnf(t0,plain,
    true = false,
    inference(hyper_resolution,[status(thm)],[hi68,h73]) ).

cnf(t723,plain,
    false = true,
    inference(orient,[status(thm)],[t0]) ).

fof(f18,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).

fof(f18_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f18]) ).

fof(f18_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f18_nnf]) ).

cnf(c18,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c18,c68]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t723]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR073+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.46  % Computer : n003.cluster.edu
% 0.18/0.46  % Model    : x86_64 x86_64
% 0.18/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46  % Memory   : 8046.5625MB
% 0.18/0.46  % OS       : Linux 6.8.0-71-generic
% 0.18/0.46  % CPULimit : 300
% 0.18/0.46  % WCLimit  : 300
% 0.18/0.46  % DateTime : Fri Sep 25 08:59:23 UTC 2026
% 0.18/0.47  % CPUTime  : 
% 0.18/0.47  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.94/1.56  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.94/1.56  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------