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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SYN185-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n006.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 03:34:01 PM UTC 2026

% Result   : Unsatisfiable 8.66s 1.75s
% Output   : Proof 8.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (   4 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f12,axiom,
    r0(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

fof(f12_nnf,plain,
    r0(e),
    inference(nnf_transformation,[status(thm)],[f12]) ).

cnf(c12,plain,
    r0(e),
    inference(cnf_transformation,[status(esa)],[f12_nnf]) ).

cnf(t1,plain,
    r0(e) = true,
    inference(equality_encoding,[status(esa)],[c12]) ).

cnf(t463,plain,
    r0(e) = true,
    inference(orient,[status(thm)],[t1]) ).

cnf(f368,negated_conjecture,
    ~ r0(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f368_nnf,plain,
    ~ r0(e),
    inference(nnf_transformation,[status(thm)],[f368]) ).

fof(f368_sk,plain,
    ~ r0(e),
    inference(skolemisation,[status(esa)],[f368_nnf]) ).

cnf(c368,plain,
    ~ r0(e),
    inference(cnf_transformation,[status(esa)],[f368_sk]) ).

cnf(goal_0,negated_conjecture,
    r0(e) != true,
    inference(equality_encoding,[status(esa)],[c368]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t463]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN185-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.37  % Computer : n006.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 : Fri Sep 25 00:25:57 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.66/1.75  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.66/1.75  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------