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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR030+3 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:13:58 PM UTC 2026

% Result   : Theorem 6.42s 4.79s
% Output   : CNFRefutation 6.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (   8 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  16   ~;  10   |;   2   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   24 (   3 sgn  13   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query130,conjecture,
    ? [X4] :
      ( mtvisible(c_tptp_member3393_mt)
     => tptptypes_5_387(X4,c_pushingwithopenhand) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query130) ).

fof(ax2_1143,axiom,
    ! [X3,X4] :
      ( tptptypes_6_388(X3,X4)
     => tptptypes_5_387(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1143) ).

fof(ax2_1462,axiom,
    ! [X3,X4] :
      ( tptptypes_7_389(X3,X4)
     => tptptypes_6_388(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1462) ).

fof(ax2_900,axiom,
    ( mtvisible(c_tptp_spindleheadmt)
   => tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_900) ).

fof(ax2_7997,axiom,
    ! [X21,X22] :
      ( ( mtvisible(X21)
        & genlmt(X21,X22) )
     => mtvisible(X22) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7997) ).

fof(ax2_2434,axiom,
    genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2434) ).

fof(c_0_6,negated_conjecture,
    ~ ? [X4] :
        ( mtvisible(c_tptp_member3393_mt)
       => tptptypes_5_387(X4,c_pushingwithopenhand) ),
    inference(assume_negation,[status(cth)],[query130]) ).

fof(c_0_7,negated_conjecture,
    ! [X11964] :
      ( mtvisible(c_tptp_member3393_mt)
      & ~ tptptypes_5_387(X11964,c_pushingwithopenhand) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).

fof(c_0_8,plain,
    ! [X6325,X6326] :
      ( ~ tptptypes_6_388(X6325,X6326)
      | tptptypes_5_387(X6325,X6326) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_1143])]) ).

cnf(c_0_9,negated_conjecture,
    ~ tptptypes_5_387(X1,c_pushingwithopenhand),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( tptptypes_5_387(X1,X2)
    | ~ tptptypes_6_388(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_11,plain,
    ! [X6420,X6421] :
      ( ~ tptptypes_7_389(X6420,X6421)
      | tptptypes_6_388(X6421,X6420) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_1462])]) ).

cnf(c_0_12,negated_conjecture,
    ~ tptptypes_6_388(X1,c_pushingwithopenhand),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    ( tptptypes_6_388(X2,X1)
    | ~ tptptypes_7_389(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_14,plain,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
    inference(fof_nnf,[status(thm)],[ax2_900]) ).

fof(c_0_15,plain,
    ! [X11949,X11950] :
      ( ~ mtvisible(X11949)
      | ~ genlmt(X11949,X11950)
      | mtvisible(X11950) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7997])]) ).

cnf(c_0_16,negated_conjecture,
    ~ tptptypes_7_389(c_pushingwithopenhand,X1),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,plain,
    ( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    ( mtvisible(X2)
    | ~ mtvisible(X1)
    | ~ genlmt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,plain,
    genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    inference(split_conjunct,[status(thm)],[ax2_2434]) ).

cnf(c_0_20,negated_conjecture,
    mtvisible(c_tptp_member3393_mt),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_21,negated_conjecture,
    ~ mtvisible(c_tptp_spindleheadmt),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_22,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),c_0_21]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR030+3 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33  % Computer : n005.cluster.edu
% 0.17/0.33  % Model    : x86_64 x86_64
% 0.17/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33  % Memory   : 8042.1875MB
% 0.17/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33  % CPULimit   : 300
% 0.17/0.33  % WCLimit    : 300
% 0.17/0.33  % DateTime   : Mon May  4 16:27:47 EDT 2026
% 0.17/0.33  % CPUTime    : 
% 0.17/0.34  % start to proof: theBenchmark
% 6.42/4.79  % Version  : CSE_E---1.7
% 6.42/4.79  % Problem  : theBenchmark.p
% 6.42/4.79  % SZS status Theorem for theBenchmark.p
% 6.42/4.79  % SZS output start CNFRefutation
% See solution above
% 6.53/4.80  % Total time : 4.071s
%------------------------------------------------------------------------------