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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : CSR026+2 : 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 : n013.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 07:03:44 AM UTC 2026

% Result   : Theorem 42.63s 7.44s
% Output   : CNFRefutation 42.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   30 (  17 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (  16   ~;  10   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-1 aty)
%            Number of variables   :    6 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax1_163,axiom,
    ( mtvisible('c$ucyclistsmt')
   => runningshorts('c$utptprunningshorts') ) ).

fof(ax1_254,axiom,
    genlmt('c$utptp$uspindleheadmt','c$ucyclistsmt') ).

fof(ax1_315,axiom,
    genlmt('c$utptp$umember3993$umt','c$utptp$uspindleheadmt') ).

fof(ax1_344,axiom,
    genlmt('c$utptp$uspindlecollectormt','c$utptp$umember2701$umt') ).

fof(ax1_364,axiom,
    genlmt('c$utptp$uspindlecollectormt','c$utptp$umember3993$umt') ).

fof(ax1_440,axiom,
    ! [X0] :
      ( ( runningshorts(X0)
        & mtvisible('c$utptp$umember2701$umt') )
     => tptpofobject(X0,'f$utptpquantityfn$u2'('n$u756')) ) ).

fof(ax1_1123,axiom,
    ! [X0,X1] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ) ).

fof(query76,conjecture,
    ( mtvisible('c$utptp$uspindlecollectormt')
   => tptpofobject('c$utptprunningshorts','f$utptpquantityfn$u2'('n$u756')) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ( mtvisible('c$utptp$uspindlecollectormt')
     => tptpofobject('c$utptprunningshorts','f$utptpquantityfn$u2'('n$u756')) ),
    inference(negate_conjecture,[status(cth)],[query76]) ).

cnf(c162,plain,
    ( runningshorts('c$utptprunningshorts')
    | ~ mtvisible('c$ucyclistsmt') ),
    inference(clausification,[status(esa)],[ax1_163]) ).

cnf(c253,plain,
    genlmt('c$utptp$uspindleheadmt','c$ucyclistsmt'),
    inference(clausification,[status(esa)],[ax1_254]) ).

cnf(c314,plain,
    genlmt('c$utptp$umember3993$umt','c$utptp$uspindleheadmt'),
    inference(clausification,[status(esa)],[ax1_315]) ).

cnf(c343,plain,
    genlmt('c$utptp$uspindlecollectormt','c$utptp$umember2701$umt'),
    inference(clausification,[status(esa)],[ax1_344]) ).

cnf(c363,plain,
    genlmt('c$utptp$uspindlecollectormt','c$utptp$umember3993$umt'),
    inference(clausification,[status(esa)],[ax1_364]) ).

cnf(c439,plain,
    ( tptpofobject(X0,'f$utptpquantityfn$u2'('n$u756'))
    | ~ runningshorts(X0)
    | ~ mtvisible('c$utptp$umember2701$umt') ),
    inference(clausification,[status(esa)],[ax1_440]) ).

cnf(c1122,plain,
    ( mtvisible(X1)
    | ~ genlmt(X0,X1)
    | ~ mtvisible(X0) ),
    inference(clausification,[status(esa)],[ax1_1123]) ).

cnf(c1131,plain,
    mtvisible('c$utptp$uspindlecollectormt'),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c1132,plain,
    ~ tptpofobject('c$utptprunningshorts','f$utptpquantityfn$u2'('n$u756')),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ mtvisible('c$utptp$umember3993$umt')
    | mtvisible('c$utptp$uspindleheadmt') ),
    inference(resolution,[status(thm)],[c1122,c314]) ).

cnf(d1,plain,
    ( ~ mtvisible('c$utptp$uspindlecollectormt')
    | mtvisible('c$utptp$umember3993$umt') ),
    inference(resolution,[status(thm)],[c1122,c363]) ).

cnf(d2,plain,
    mtvisible('c$utptp$umember3993$umt'),
    inference(resolution,[status(thm)],[c1131,d1]) ).

cnf(d3,plain,
    mtvisible('c$utptp$uspindleheadmt'),
    inference(resolution,[status(thm)],[d2,d0]) ).

cnf(d4,plain,
    ( ~ mtvisible('c$utptp$uspindleheadmt')
    | mtvisible('c$ucyclistsmt') ),
    inference(resolution,[status(thm)],[c1122,c253]) ).

cnf(d5,plain,
    ( ~ runningshorts('c$utptprunningshorts')
    | ~ mtvisible('c$utptp$umember2701$umt') ),
    inference(resolution,[status(thm)],[c439,c1132]) ).

cnf(d6,plain,
    ( ~ mtvisible('c$utptp$uspindlecollectormt')
    | mtvisible('c$utptp$umember2701$umt') ),
    inference(resolution,[status(thm)],[c1122,c343]) ).

cnf(d7,plain,
    mtvisible('c$utptp$umember2701$umt'),
    inference(resolution,[status(thm)],[c1131,d6]) ).

cnf(d8,plain,
    ~ runningshorts('c$utptprunningshorts'),
    inference(resolution,[status(thm)],[d7,d5]) ).

cnf(d9,plain,
    ~ mtvisible('c$ucyclistsmt'),
    inference(resolution,[status(thm)],[d8,c162]) ).

cnf(d10,plain,
    ~ mtvisible('c$utptp$uspindleheadmt'),
    inference(resolution,[status(thm)],[d9,d4]) ).

cnf(d11,plain,
    $false,
    inference(resolution,[status(thm)],[d10,d3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR026+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43  % Computer : n013.cluster.edu
% 0.16/0.43  % Model    : x86_64 x86_64
% 0.16/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43  % Memory   : 8046.5625MB
% 0.16/0.43  % OS       : Linux 6.8.0-71-generic
% 0.16/0.43  % CPULimit : 300
% 0.16/0.43  % WCLimit  : 300
% 0.16/0.43  % DateTime : Sat Sep 26 23:56:22 UTC 2026
% 0.16/0.43  % CPUTime  : 
% 0.16/0.43  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.63/7.44  % SZS status Theorem for theBenchmark.p
% 42.63/7.44  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------