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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWV547-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n005.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 : Fri Sep 25 03:13:37 PM UTC 2026

% Result   : Unsatisfiable 7.56s 1.96s
% Output   : Proof 7.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (  20 unt;   0 def)
%            Number of atoms       :   20 (  19 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f28,hypothesis,
    e_491 = select(a_479,i_490),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp25) ).

fof(f28_nnf,plain,
    e_491 = select(a_479,i_490),
    inference(nnf_transformation,[status(thm)],[f28]) ).

cnf(c28,plain,
    e_491 = select(a_479,i_490),
    inference(cnf_transformation,[status(esa)],[f28_nnf]) ).

cnf(t13,plain,
    select(a_479,i_490) = e_491,
    inference(equality_encoding,[status(esa)],[c28]) ).

cnf(t52,plain,
    select(a_479,i_490) = e_491,
    inference(orient,[status(thm)],[t13]) ).

cnf(t283,plain,
    select(a_489,i_490) = e_491,
    inference(rw,[status(thm)],[t52]) ).

cnf(f29,hypothesis,
    e_492 = select(a_489,i_490),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp26) ).

fof(f29_nnf,plain,
    e_492 = select(a_489,i_490),
    inference(nnf_transformation,[status(thm)],[f29]) ).

cnf(c29,plain,
    e_492 = select(a_489,i_490),
    inference(cnf_transformation,[status(esa)],[f29_nnf]) ).

cnf(t18,plain,
    select(a_489,i_490) = e_492,
    inference(equality_encoding,[status(esa)],[c29]) ).

cnf(t57,plain,
    select(a_489,i_490) = e_492,
    inference(orient,[status(thm)],[t18]) ).

cnf(t374,plain,
    e_492 = e_491,
    inference(step,[status(thm)],[t283,t57]) ).

cnf(t290,plain,
    e_491 = e_492,
    inference(orient,[status(thm)],[t374]) ).

cnf(f31,negated_conjecture,
    e_491 != e_492,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

fof(f31_nnf,plain,
    e_491 != e_492,
    inference(nnf_transformation,[status(thm)],[f31]) ).

fof(f31_sk,plain,
    e_491 != e_492,
    inference(skolemisation,[status(esa)],[f31_nnf]) ).

cnf(c31,plain,
    e_491 != e_492,
    inference(cnf_transformation,[status(esa)],[f31_sk]) ).

cnf(goal_0,negated_conjecture,
    e_492 != e_491,
    inference(equality_encoding,[status(esa)],[c31]) ).

cnf(g0_0,plain,
    e_492 != e_492,
    inference(rw,[status(thm)],[goal_0,t290]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV547-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.37  % Computer : n005.cluster.edu
% 0.08/0.37  % Model    : x86_64 x86_64
% 0.08/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37  % Memory   : 8046.5625MB
% 0.08/0.37  % OS       : Linux 6.8.0-71-generic
% 0.08/0.37  % CPULimit : 300
% 0.08/0.37  % WCLimit  : 300
% 0.08/0.37  % DateTime : Thu Sep 24 20:25:33 UTC 2026
% 0.08/0.38  % CPUTime  : 
% 0.08/0.38  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.56/1.96  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.56/1.96  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------