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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : CSR055+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% 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 : Thu Sep 24 08:27:14 AM UTC 2026

% Result   : Theorem 0.08s 0.41s
% Output   : Proof 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (  12 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   26 (  15   ~;   9   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   14 (   1 sgn  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(just1,axiom,
    individual(c_xskijump_thegame),
    file('theBenchmark.p',just1) ).

fof(just5,axiom,
    ! [OBJ] :
      ~ ( individual(OBJ)
        & collection(OBJ) ),
    file('theBenchmark.p',just5) ).

fof(just32,axiom,
    ! [INS,ARG2] :
      ( disjointwith(INS,ARG2)
     => collection(INS) ),
    file('theBenchmark.p',just32) ).

fof(query55,conjecture,
    ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    file('theBenchmark.p',query55) ).

fof(f_1_1,plain,
    individual(c_xskijump_thegame),
    inference(fof_nnf,[status(thm)],[just1]) ).

cnf(f_1_2,plain,
    individual(c_xskijump_thegame),
    inference(clausify,[status(thm)],[f_1_1]) ).

fof(f_5_1,plain,
    ! [OBJ] :
      ( ~ individual(OBJ)
      | ~ collection(OBJ) ),
    inference(fof_nnf,[status(thm)],[just5]) ).

fof(f_5_2,plain,
    ! [U_0] :
      ( ~ individual(U_0)
      | ~ collection(U_0) ),
    inference(variable_rename,[status(thm)],[f_5_1]) ).

cnf(f_5_3,plain,
    ( ~ individual(U_0)
    | ~ collection(U_0) ),
    inference(clausify,[status(thm)],[f_5_2]) ).

fof(f_32_1,plain,
    ! [INS,ARG2] :
      ( collection(INS)
      | ~ disjointwith(INS,ARG2) ),
    inference(fof_nnf,[status(thm)],[just32]) ).

fof(f_32_2,plain,
    ! [U_53,U_52] :
      ( collection(U_53)
      | ~ disjointwith(U_53,U_52) ),
    inference(variable_rename,[status(thm)],[f_32_1]) ).

fof(f_32_3,plain,
    ! [U_53] :
      ( ! [U_52] : ~ disjointwith(U_53,U_52)
      | collection(U_53) ),
    inference(miniscope,[status(thm)],[f_32_2]) ).

cnf(f_32_4,plain,
    ( ~ disjointwith(U_53,U_52)
    | collection(U_53) ),
    inference(clausify,[status(thm)],[f_32_3]) ).

fof(f_56_1,negated_conjecture,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(negate,[status(cth)],[query55]) ).

fof(f_56_2,negated_conjecture,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(definitional_conversion,[status(esa)],[f_56_1]) ).

cnf(f_56_3,negated_conjecture,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(clausify,[status(thm)],[f_56_2]) ).

cnf(t1,plain,
    ( ~ individual(c_xskijump_thegame)
    | ~ collection(c_xskijump_thegame) ),
    inference(start,[status(thm),parent(0:0)],[f_5_3]) ).

cnf(t2,plain,
    ( ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301)
    | collection(c_xskijump_thegame) ),
    inference(extension,[status(thm),parent(t1:1)],[f_32_4]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(extension,[status(thm),parent(t2:2)],[f_56_3]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).

cnf(t6,plain,
    individual(c_xskijump_thegame),
    inference(extension,[status(thm),parent(t1:2)],[f_1_2]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR055+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03  This is a FOF_THM_RFO_NEQ problem
% 0.00/0.03  % Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n016.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Sun Sep 20 16:08:23 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.41  % SZS status Theorem for theBenchmark
% 0.08/0.41  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------