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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : CSR061+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.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 07:04:06 AM UTC 2026

% Result   : Theorem 17.53s 2.65s
% Output   : CNFRefutation 17.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   76 (  52 unt;   0 def)
%            Number of atoms       :  106 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   54 (  24   ~;  22   |;   3   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  19 con; 0-0 aty)
%            Number of variables   :   34 (   0 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(just5,axiom,
    genls('c$utptpcol$u4$u106497','c$utptpcol$u3$u98305') ).

fof(just7,axiom,
    genls('c$utptpcol$u5$u110593','c$utptpcol$u4$u106497') ).

fof(just9,axiom,
    genls('c$utptpcol$u6$u112641','c$utptpcol$u5$u110593') ).

fof(just11,axiom,
    genls('c$utptpcol$u7$u113665','c$utptpcol$u6$u112641') ).

fof(just13,axiom,
    genls('c$utptpcol$u8$u114177','c$utptpcol$u7$u113665') ).

fof(just15,axiom,
    genls('c$utptpcol$u4$u114689','c$utptpcol$u3$u114688') ).

fof(just17,axiom,
    genls('c$utptpcol$u5$u114690','c$utptpcol$u4$u114689') ).

fof(just19,axiom,
    genls('c$utptpcol$u6$u116738','c$utptpcol$u5$u114690') ).

fof(just21,axiom,
    genls('c$utptpcol$u7$u117762','c$utptpcol$u6$u116738') ).

fof(just23,axiom,
    genls('c$utptpcol$u8$u117763','c$utptpcol$u7$u117762') ).

fof(just25,axiom,
    genls('c$utptpcol$u9$u118019','c$utptpcol$u8$u117763') ).

fof(just27,axiom,
    genls('c$utptpcol$u10$u118020','c$utptpcol$u9$u118019') ).

fof(just29,axiom,
    genls('c$utptpcol$u11$u118084','c$utptpcol$u10$u118020') ).

fof(just31,axiom,
    genls('c$utptpcol$u12$u118116','c$utptpcol$u11$u118084') ).

fof(just33,axiom,
    genls('c$utptpcol$u13$u118117','c$utptpcol$u12$u118116') ).

fof(just35,axiom,
    genls('c$utptpcol$u14$u118118','c$utptpcol$u13$u118117') ).

fof(just37,axiom,
    disjointwith('c$utptpcol$u3$u98305','c$utptpcol$u3$u114688') ).

fof(just55,axiom,
    ! [X0,X1,X2] :
      ( ( genls(X2,X1)
        & disjointwith(X0,X1) )
     => disjointwith(X0,X2) ) ).

fof(just56,axiom,
    ! [X0,X1,X2] :
      ( ( genls(X2,X0)
        & disjointwith(X0,X1) )
     => disjointwith(X2,X1) ) ).

fof(just97,axiom,
    ! [X0,X1,X2] :
      ( ( genls(X1,X2)
        & genls(X0,X1) )
     => genls(X0,X2) ) ).

fof(query61,conjecture,
    ( mtvisible('c$utimehasnoendmt')
   => disjointwith('c$utptpcol$u8$u114177','c$utptpcol$u14$u118118') ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ( mtvisible('c$utimehasnoendmt')
     => disjointwith('c$utptpcol$u8$u114177','c$utptpcol$u14$u118118') ),
    inference(negate_conjecture,[status(cth)],[query61]) ).

cnf(c4,plain,
    genls('c$utptpcol$u4$u106497','c$utptpcol$u3$u98305'),
    inference(clausification,[status(esa)],[just5]) ).

cnf(c6,plain,
    genls('c$utptpcol$u5$u110593','c$utptpcol$u4$u106497'),
    inference(clausification,[status(esa)],[just7]) ).

cnf(c8,plain,
    genls('c$utptpcol$u6$u112641','c$utptpcol$u5$u110593'),
    inference(clausification,[status(esa)],[just9]) ).

cnf(c10,plain,
    genls('c$utptpcol$u7$u113665','c$utptpcol$u6$u112641'),
    inference(clausification,[status(esa)],[just11]) ).

cnf(c12,plain,
    genls('c$utptpcol$u8$u114177','c$utptpcol$u7$u113665'),
    inference(clausification,[status(esa)],[just13]) ).

cnf(c14,plain,
    genls('c$utptpcol$u4$u114689','c$utptpcol$u3$u114688'),
    inference(clausification,[status(esa)],[just15]) ).

cnf(c16,plain,
    genls('c$utptpcol$u5$u114690','c$utptpcol$u4$u114689'),
    inference(clausification,[status(esa)],[just17]) ).

cnf(c18,plain,
    genls('c$utptpcol$u6$u116738','c$utptpcol$u5$u114690'),
    inference(clausification,[status(esa)],[just19]) ).

cnf(c20,plain,
    genls('c$utptpcol$u7$u117762','c$utptpcol$u6$u116738'),
    inference(clausification,[status(esa)],[just21]) ).

cnf(c22,plain,
    genls('c$utptpcol$u8$u117763','c$utptpcol$u7$u117762'),
    inference(clausification,[status(esa)],[just23]) ).

cnf(c24,plain,
    genls('c$utptpcol$u9$u118019','c$utptpcol$u8$u117763'),
    inference(clausification,[status(esa)],[just25]) ).

cnf(c26,plain,
    genls('c$utptpcol$u10$u118020','c$utptpcol$u9$u118019'),
    inference(clausification,[status(esa)],[just27]) ).

cnf(c28,plain,
    genls('c$utptpcol$u11$u118084','c$utptpcol$u10$u118020'),
    inference(clausification,[status(esa)],[just29]) ).

cnf(c30,plain,
    genls('c$utptpcol$u12$u118116','c$utptpcol$u11$u118084'),
    inference(clausification,[status(esa)],[just31]) ).

cnf(c32,plain,
    genls('c$utptpcol$u13$u118117','c$utptpcol$u12$u118116'),
    inference(clausification,[status(esa)],[just33]) ).

cnf(c34,plain,
    genls('c$utptpcol$u14$u118118','c$utptpcol$u13$u118117'),
    inference(clausification,[status(esa)],[just35]) ).

cnf(c36,plain,
    disjointwith('c$utptpcol$u3$u98305','c$utptpcol$u3$u114688'),
    inference(clausification,[status(esa)],[just37]) ).

cnf(c54,plain,
    ( disjointwith(X0,X2)
    | ~ genls(X2,X1)
    | ~ disjointwith(X0,X1) ),
    inference(clausification,[status(esa)],[just55]) ).

cnf(c55,plain,
    ( disjointwith(X2,X1)
    | ~ genls(X2,X0)
    | ~ disjointwith(X0,X1) ),
    inference(clausification,[status(esa)],[just56]) ).

cnf(c96,plain,
    ( genls(X0,X2)
    | ~ genls(X1,X2)
    | ~ genls(X0,X1) ),
    inference(clausification,[status(esa)],[just97]) ).

cnf(c119,plain,
    ~ disjointwith('c$utptpcol$u8$u114177','c$utptpcol$u14$u118118'),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ genls(X0,'c$utptpcol$u4$u114689')
    | genls(X0,'c$utptpcol$u3$u114688') ),
    inference(resolution,[status(thm)],[c96,c14]) ).

cnf(d1,plain,
    ( ~ genls(X0,'c$utptpcol$u5$u114690')
    | genls(X0,'c$utptpcol$u4$u114689') ),
    inference(resolution,[status(thm)],[c96,c16]) ).

cnf(d2,plain,
    ( ~ genls(X0,'c$utptpcol$u6$u116738')
    | genls(X0,'c$utptpcol$u5$u114690') ),
    inference(resolution,[status(thm)],[c96,c18]) ).

cnf(d3,plain,
    ( ~ genls(X0,'c$utptpcol$u7$u117762')
    | genls(X0,'c$utptpcol$u6$u116738') ),
    inference(resolution,[status(thm)],[c96,c20]) ).

cnf(d4,plain,
    ( ~ genls(X0,'c$utptpcol$u8$u117763')
    | genls(X0,'c$utptpcol$u7$u117762') ),
    inference(resolution,[status(thm)],[c96,c22]) ).

cnf(d5,plain,
    ( ~ genls(X0,'c$utptpcol$u9$u118019')
    | genls(X0,'c$utptpcol$u8$u117763') ),
    inference(resolution,[status(thm)],[c96,c24]) ).

cnf(d6,plain,
    ( ~ genls(X0,'c$utptpcol$u10$u118020')
    | genls(X0,'c$utptpcol$u9$u118019') ),
    inference(resolution,[status(thm)],[c96,c26]) ).

cnf(d7,plain,
    ( ~ genls(X0,'c$utptpcol$u11$u118084')
    | genls(X0,'c$utptpcol$u10$u118020') ),
    inference(resolution,[status(thm)],[c96,c28]) ).

cnf(d8,plain,
    ( ~ genls(X0,'c$utptpcol$u12$u118116')
    | genls(X0,'c$utptpcol$u11$u118084') ),
    inference(resolution,[status(thm)],[c96,c30]) ).

cnf(d9,plain,
    ( ~ genls(X0,'c$utptpcol$u13$u118117')
    | genls(X0,'c$utptpcol$u12$u118116') ),
    inference(resolution,[status(thm)],[c96,c32]) ).

cnf(d10,plain,
    genls('c$utptpcol$u14$u118118','c$utptpcol$u12$u118116'),
    inference(resolution,[status(thm)],[d9,c34]) ).

cnf(d11,plain,
    genls('c$utptpcol$u14$u118118','c$utptpcol$u11$u118084'),
    inference(resolution,[status(thm)],[d10,d8]) ).

cnf(d12,plain,
    genls('c$utptpcol$u14$u118118','c$utptpcol$u10$u118020'),
    inference(resolution,[status(thm)],[d11,d7]) ).

cnf(d13,plain,
    genls('c$utptpcol$u14$u118118','c$utptpcol$u9$u118019'),
    inference(resolution,[status(thm)],[d12,d6]) ).

cnf(d14,plain,
    genls('c$utptpcol$u14$u118118','c$utptpcol$u8$u117763'),
    inference(resolution,[status(thm)],[d13,d5]) ).

cnf(d15,plain,
    genls('c$utptpcol$u14$u118118','c$utptpcol$u7$u117762'),
    inference(resolution,[status(thm)],[d14,d4]) ).

cnf(d16,plain,
    genls('c$utptpcol$u14$u118118','c$utptpcol$u6$u116738'),
    inference(resolution,[status(thm)],[d15,d3]) ).

cnf(d17,plain,
    genls('c$utptpcol$u14$u118118','c$utptpcol$u5$u114690'),
    inference(resolution,[status(thm)],[d16,d2]) ).

cnf(d18,plain,
    genls('c$utptpcol$u14$u118118','c$utptpcol$u4$u114689'),
    inference(resolution,[status(thm)],[d17,d1]) ).

cnf(d19,plain,
    genls('c$utptpcol$u14$u118118','c$utptpcol$u3$u114688'),
    inference(resolution,[status(thm)],[d18,d0]) ).

cnf(d20,plain,
    ( disjointwith(X0,'c$utptpcol$u3$u114688')
    | ~ genls(X0,'c$utptpcol$u3$u98305') ),
    inference(resolution,[status(thm)],[c55,c36]) ).

cnf(d21,plain,
    ( ~ genls(X0,'c$utptpcol$u4$u106497')
    | genls(X0,'c$utptpcol$u3$u98305') ),
    inference(resolution,[status(thm)],[c96,c4]) ).

cnf(d22,plain,
    ( ~ genls(X0,'c$utptpcol$u5$u110593')
    | genls(X0,'c$utptpcol$u4$u106497') ),
    inference(resolution,[status(thm)],[c96,c6]) ).

cnf(d23,plain,
    ( ~ genls(X0,'c$utptpcol$u6$u112641')
    | genls(X0,'c$utptpcol$u5$u110593') ),
    inference(resolution,[status(thm)],[c96,c8]) ).

cnf(d24,plain,
    ( ~ genls(X0,'c$utptpcol$u7$u113665')
    | genls(X0,'c$utptpcol$u6$u112641') ),
    inference(resolution,[status(thm)],[c96,c10]) ).

cnf(d25,plain,
    genls('c$utptpcol$u8$u114177','c$utptpcol$u6$u112641'),
    inference(resolution,[status(thm)],[d24,c12]) ).

cnf(d26,plain,
    genls('c$utptpcol$u8$u114177','c$utptpcol$u5$u110593'),
    inference(resolution,[status(thm)],[d25,d23]) ).

cnf(d27,plain,
    genls('c$utptpcol$u8$u114177','c$utptpcol$u4$u106497'),
    inference(resolution,[status(thm)],[d26,d22]) ).

cnf(d28,plain,
    genls('c$utptpcol$u8$u114177','c$utptpcol$u3$u98305'),
    inference(resolution,[status(thm)],[d27,d21]) ).

cnf(d29,plain,
    disjointwith('c$utptpcol$u8$u114177','c$utptpcol$u3$u114688'),
    inference(resolution,[status(thm)],[d28,d20]) ).

cnf(d30,plain,
    ( disjointwith('c$utptpcol$u8$u114177',X0)
    | ~ genls(X0,'c$utptpcol$u3$u114688') ),
    inference(resolution,[status(thm)],[d29,c54]) ).

cnf(d31,plain,
    disjointwith('c$utptpcol$u8$u114177','c$utptpcol$u14$u118118'),
    inference(resolution,[status(thm)],[d30,d19]) ).

cnf(d32,plain,
    $false,
    inference(resolution,[status(thm)],[c119,d31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR061+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n017.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 00:23:36 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.53/2.65  % SZS status Theorem for theBenchmark.p
% 17.53/2.65  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------