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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR070+3 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n007.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 04:14:45 PM UTC 2026

% Result   : Theorem 49.27s 26.87s
% Output   : CNFRefutation 49.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   31 (   8 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   46 (  20   ~;  16   |;   2   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-3 aty)
%            Number of variables   :   34 (   0 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query170,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query170) ).

fof(ax2_2522,axiom,
    ! [X3,X4] :
      ( tptptypes_8_823(X3,X4)
     => tptptypes_7_819(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2522) ).

fof(ax2_2254,axiom,
    ! [X3,X4] :
      ( tptptypes_9_824(X3,X4)
     => tptptypes_8_823(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2254) ).

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

fof(ax2_1876,axiom,
    ! [X3,X4] :
      ( tptptypes_6_818(X3,X4)
     => tptptypes_5_802(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1876) ).

fof(ax2_596,axiom,
    ! [X3,X4] :
      ( tptptypes_7_819(X3,X4)
     => tptptypes_6_818(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_596) ).

fof(ax2_602,axiom,
    ( mtvisible(c_tptp_member2668_mt)
   => tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_602) ).

fof(ax2_254,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_254) ).

fof(c_0_8,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(assume_negation,[status(cth)],[query170]) ).

fof(c_0_9,plain,
    ! [X6722,X6723] :
      ( ~ tptptypes_8_823(X6722,X6723)
      | tptptypes_7_819(X6722,X6723) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_2522])]) ).

fof(c_0_10,plain,
    ! [X6656,X6657] :
      ( ~ tptptypes_9_824(X6656,X6657)
      | tptptypes_8_823(X6656,X6657) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_2254])]) ).

fof(c_0_11,plain,
    ! [X11948,X11949] :
      ( ~ mtvisible(X11948)
      | ~ genlmt(X11948,X11949)
      | mtvisible(X11949) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7997])]) ).

fof(c_0_12,negated_conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
    & ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(fof_nnf,[status(thm)],[c_0_8]) ).

fof(c_0_13,plain,
    ! [X6545,X6546] :
      ( ~ tptptypes_6_818(X6545,X6546)
      | tptptypes_5_802(X6545,X6546) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_1876])]) ).

fof(c_0_14,plain,
    ! [X6162,X6163] :
      ( ~ tptptypes_7_819(X6162,X6163)
      | tptptypes_6_818(X6162,X6163) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_596])]) ).

cnf(c_0_15,plain,
    ( tptptypes_7_819(X1,X2)
    | ~ tptptypes_8_823(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_16,plain,
    ( tptptypes_8_823(X1,X2)
    | ~ tptptypes_9_824(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_17,plain,
    ( ~ mtvisible(c_tptp_member2668_mt)
    | tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(fof_nnf,[status(thm)],[ax2_602]) ).

cnf(c_0_18,plain,
    ( mtvisible(X2)
    | ~ mtvisible(X1)
    | ~ genlmt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(split_conjunct,[status(thm)],[ax2_254]) ).

cnf(c_0_20,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_21,negated_conjecture,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_22,plain,
    ( tptptypes_5_802(X1,X2)
    | ~ tptptypes_6_818(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_23,plain,
    ( tptptypes_6_818(X1,X2)
    | ~ tptptypes_7_819(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_24,plain,
    ( tptptypes_7_819(X1,X2)
    | ~ tptptypes_9_824(X1,X2) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_25,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_26,plain,
    mtvisible(c_tptp_member2668_mt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_27,negated_conjecture,
    ~ tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_28,plain,
    ( tptptypes_6_818(X1,X2)
    | ~ tptptypes_9_824(X1,X2) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_29,plain,
    tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).

cnf(c_0_30,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : CSR070+3 : TPTP v9.2.1. Released v3.4.0.
% 0.12/0.13  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.18/0.34  % Computer : n007.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit   : 300
% 0.18/0.34  % WCLimit    : 300
% 0.18/0.34  % DateTime   : Mon May  4 16:42:24 EDT 2026
% 0.18/0.34  % CPUTime    : 
% 0.22/0.36  % start to proof: theBenchmark
% 49.27/26.87  % Version  : CSE_E---1.7
% 49.27/26.87  % Problem  : theBenchmark.p
% 49.27/26.87  % SZS status Theorem for theBenchmark.p
% 49.27/26.87  % SZS output start CNFRefutation
% See solution above
% 49.38/26.94  % Total time : 24.183s
%------------------------------------------------------------------------------