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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : COM009-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n001.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 01:03:28 PM UTC 2026

% Result   : Unsatisfiable 12.51s 8.60s
% Output   : Proof 12.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (   8 unt;   0 def)
%            Number of atoms       :   36 (  14 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   29 (  15   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (   2 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f1359,axiom,
    ( c_UNITY_Ototalize(V_F,T_a) = V_F
    | ~ c_UNITY_Oall__total(V_F,T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oall__total__imp__totalize_0) ).

fof(f1359_nnf,plain,
    ! [V_F,T_a] :
      ( c_UNITY_Ototalize(V_F,T_a) = V_F
      | ~ c_UNITY_Oall__total(V_F,T_a) ),
    inference(nnf_transformation,[status(thm)],[f1359]) ).

fof(f1359_sk,plain,
    ! [V_F,T_a] :
      ( c_UNITY_Ototalize(V_F,T_a) = V_F
      | ~ c_UNITY_Oall__total(V_F,T_a) ),
    inference(skolemisation,[status(esa)],[f1359_nnf]) ).

cnf(c1359,plain,
    ( c_UNITY_Ototalize(X0,X1) = X0
    | ~ c_UNITY_Oall__total(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1359_sk]) ).

cnf(f1370,negated_conjecture,
    ( c_UNITY_Ototalize(v_F,t_a) = v_F
    | c_UNITY_Oall__total(v_F,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1370_nnf,plain,
    ( c_UNITY_Ototalize(v_F,t_a) = v_F
    | c_UNITY_Oall__total(v_F,t_a) ),
    inference(nnf_transformation,[status(thm)],[f1370]) ).

fof(f1370_sk,plain,
    ( c_UNITY_Ototalize(v_F,t_a) = v_F
    | c_UNITY_Oall__total(v_F,t_a) ),
    inference(skolemisation,[status(esa)],[f1370_nnf]) ).

cnf(c1370,plain,
    ( c_UNITY_Ototalize(v_F,t_a) = v_F
    | c_UNITY_Oall__total(v_F,t_a) ),
    inference(cnf_transformation,[status(esa)],[f1370_sk]) ).

cnf(f1360,axiom,
    c_UNITY_Oall__total(c_UNITY_Ototalize(V_F,T_a),T_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oall__total__totalize_0) ).

fof(f1360_nnf,plain,
    ! [V_F,T_a] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F,T_a),T_a),
    inference(nnf_transformation,[status(thm)],[f1360]) ).

fof(f1360_sk,plain,
    ! [V_F,T_a] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F,T_a),T_a),
    inference(skolemisation,[status(esa)],[f1360_nnf]) ).

cnf(c1360,plain,
    c_UNITY_Oall__total(c_UNITY_Ototalize(X0,X1),X1),
    inference(cnf_transformation,[status(esa)],[f1360_sk]) ).

cnf(p690,plain,
    ( c_UNITY_Oall__total(v_F,t_a)
    | c_UNITY_Oall__total(v_F,t_a) ),
    inference(superposition,[status(thm)],[c1370,c1360]) ).

cnf(p691,plain,
    c_UNITY_Oall__total(v_F,t_a),
    inference(factoring,[status(thm)],[p690]) ).

cnf(p841,plain,
    c_UNITY_Ototalize(v_F,t_a) = v_F,
    inference(resolution,[status(thm)],[c1359,p691]) ).

cnf(f1369,negated_conjecture,
    ( ~ c_UNITY_Oall__total(v_F,t_a)
    | c_UNITY_Ototalize(v_F,t_a) != v_F ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1369_nnf,plain,
    ( ~ c_UNITY_Oall__total(v_F,t_a)
    | c_UNITY_Ototalize(v_F,t_a) != v_F ),
    inference(nnf_transformation,[status(thm)],[f1369]) ).

fof(f1369_sk,plain,
    ( ~ c_UNITY_Oall__total(v_F,t_a)
    | c_UNITY_Ototalize(v_F,t_a) != v_F ),
    inference(skolemisation,[status(esa)],[f1369_nnf]) ).

cnf(c1369,plain,
    ( ~ c_UNITY_Oall__total(v_F,t_a)
    | c_UNITY_Ototalize(v_F,t_a) != v_F ),
    inference(cnf_transformation,[status(esa)],[f1369_sk]) ).

cnf(p842,plain,
    ( ~ c_UNITY_Oall__total(v_F,t_a)
    | v_F != v_F ),
    inference(demodulation,[status(thm)],[p841,c1369]) ).

cnf(p845,plain,
    ~ c_UNITY_Oall__total(v_F,t_a),
    inference(equality_resolution,[status(thm)],[p842]) ).

cnf(p846,plain,
    $false,
    inference(resolution,[status(thm)],[p845,p691]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : COM009-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/5.58  % Computer : n001.cluster.edu
% 0.10/5.58  % Model    : x86_64 x86_64
% 0.10/5.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.58  % Memory   : 8046.5625MB
% 0.10/5.58  % OS       : Linux 6.8.0-71-generic
% 0.10/5.58  % CPULimit : 300
% 0.10/5.58  % WCLimit  : 300
% 0.10/5.58  % DateTime : Fri Sep 25 07:51:16 UTC 2026
% 0.10/5.58  % CPUTime  : 
% 0.10/5.58  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 12.51/8.60  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.51/8.60  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------