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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : CSR070+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n009.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 : Sun Sep 27 07:04:12 AM UTC 2026

% Result   : Theorem 16.38s 2.70s
% Output   : CNFRefutation 16.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (  10 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   29 (  11   ~;   9   |;   1   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 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   :   20 (   0 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(just8,axiom,
    ! [X0,X1] :
      ( 'tptptypes$u6$u818'(X0,X1)
     => 'tptptypes$u5$u802'(X0,X1) ) ).

fof(just10,axiom,
    ! [X0,X1] :
      ( 'tptptypes$u7$u819'(X0,X1)
     => 'tptptypes$u6$u818'(X0,X1) ) ).

fof(just12,axiom,
    ! [X0,X1] :
      ( 'tptptypes$u8$u823'(X0,X1)
     => 'tptptypes$u7$u819'(X0,X1) ) ).

fof(just14,axiom,
    ! [X0,X1] :
      ( 'tptptypes$u9$u824'(X0,X1)
     => 'tptptypes$u8$u823'(X0,X1) ) ).

fof(just16,axiom,
    genlmt('c$utptp$uspindlecollectormt','c$utptp$umember2668$umt') ).

fof(just19,axiom,
    ( mtvisible('c$utptp$umember2668$umt')
   => 'tptptypes$u9$u824'('f$usubcollectionofwithrelationfromtypefn'('c$uorientationvector','c$uorientation','c$upartiallytangible'),'c$utptpcol$u16$u8886') ) ).

fof(just57,axiom,
    ! [X0,X1] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ) ).

fof(query70,conjecture,
    ( mtvisible('c$utptp$uspindlecollectormt')
   => 'tptptypes$u5$u802'('f$usubcollectionofwithrelationfromtypefn'('c$uorientationvector','c$uorientation','c$upartiallytangible'),'c$utptpcol$u16$u8886') ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ( mtvisible('c$utptp$uspindlecollectormt')
     => 'tptptypes$u5$u802'('f$usubcollectionofwithrelationfromtypefn'('c$uorientationvector','c$uorientation','c$upartiallytangible'),'c$utptpcol$u16$u8886') ),
    inference(negate_conjecture,[status(cth)],[query70]) ).

cnf(c7,plain,
    ( 'tptptypes$u5$u802'(X0,X1)
    | ~ 'tptptypes$u6$u818'(X0,X1) ),
    inference(clausification,[status(esa)],[just8]) ).

cnf(c9,plain,
    ( 'tptptypes$u6$u818'(X0,X1)
    | ~ 'tptptypes$u7$u819'(X0,X1) ),
    inference(clausification,[status(esa)],[just10]) ).

cnf(c11,plain,
    ( 'tptptypes$u7$u819'(X0,X1)
    | ~ 'tptptypes$u8$u823'(X0,X1) ),
    inference(clausification,[status(esa)],[just12]) ).

cnf(c13,plain,
    ( 'tptptypes$u8$u823'(X0,X1)
    | ~ 'tptptypes$u9$u824'(X0,X1) ),
    inference(clausification,[status(esa)],[just14]) ).

cnf(c15,plain,
    genlmt('c$utptp$uspindlecollectormt','c$utptp$umember2668$umt'),
    inference(clausification,[status(esa)],[just16]) ).

cnf(c18,plain,
    ( 'tptptypes$u9$u824'('f$usubcollectionofwithrelationfromtypefn'('c$uorientationvector','c$uorientation','c$upartiallytangible'),'c$utptpcol$u16$u8886')
    | ~ mtvisible('c$utptp$umember2668$umt') ),
    inference(clausification,[status(esa)],[just19]) ).

cnf(c56,plain,
    ( mtvisible(X1)
    | ~ genlmt(X0,X1)
    | ~ mtvisible(X0) ),
    inference(clausification,[status(esa)],[just57]) ).

cnf(c79,plain,
    mtvisible('c$utptp$uspindlecollectormt'),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c80,plain,
    ~ 'tptptypes$u5$u802'('f$usubcollectionofwithrelationfromtypefn'('c$uorientationvector','c$uorientation','c$upartiallytangible'),'c$utptpcol$u16$u8886'),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( 'tptptypes$u8$u823'('f$usubcollectionofwithrelationfromtypefn'('c$uorientationvector','c$uorientation','c$upartiallytangible'),'c$utptpcol$u16$u8886')
    | ~ mtvisible('c$utptp$umember2668$umt') ),
    inference(resolution,[status(thm)],[c18,c13]) ).

cnf(d1,plain,
    ( ~ mtvisible('c$utptp$uspindlecollectormt')
    | mtvisible('c$utptp$umember2668$umt') ),
    inference(resolution,[status(thm)],[c56,c15]) ).

cnf(d2,plain,
    mtvisible('c$utptp$umember2668$umt'),
    inference(resolution,[status(thm)],[c79,d1]) ).

cnf(d3,plain,
    'tptptypes$u8$u823'('f$usubcollectionofwithrelationfromtypefn'('c$uorientationvector','c$uorientation','c$upartiallytangible'),'c$utptpcol$u16$u8886'),
    inference(resolution,[status(thm)],[d2,d0]) ).

cnf(d4,plain,
    'tptptypes$u7$u819'('f$usubcollectionofwithrelationfromtypefn'('c$uorientationvector','c$uorientation','c$upartiallytangible'),'c$utptpcol$u16$u8886'),
    inference(resolution,[status(thm)],[d3,c11]) ).

cnf(d5,plain,
    'tptptypes$u6$u818'('f$usubcollectionofwithrelationfromtypefn'('c$uorientationvector','c$uorientation','c$upartiallytangible'),'c$utptpcol$u16$u8886'),
    inference(resolution,[status(thm)],[d4,c9]) ).

cnf(d6,plain,
    'tptptypes$u5$u802'('f$usubcollectionofwithrelationfromtypefn'('c$uorientationvector','c$uorientation','c$upartiallytangible'),'c$utptpcol$u16$u8886'),
    inference(resolution,[status(thm)],[d5,c7]) ).

cnf(d7,plain,
    $false,
    inference(resolution,[status(thm)],[c80,d6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR070+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n009.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 00:36:15 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.38/2.70  % SZS status Theorem for theBenchmark.p
% 16.38/2.70  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------