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SPASS+T---2.2.22.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : spasst-tptp-script %s %d

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Apr  6 10:09:27 AM UTC 2025

% Result   : Theorem 0.94s 1.22s
% Output   : Refutation 0.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   12 (   9 unt;   2 nHn;  12 RR)
%            Number of literals    :   26 (   0 equ;  14 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    in_cover(skc7),
    file('SWX000_1.p',unknown),
    [] ).

cnf(7,axiom,
    general(skc7),
    file('SWX000_1.p',unknown),
    [] ).

cnf(8,axiom,
    in_cover(skc6),
    file('SWX000_1.p',unknown),
    [] ).

cnf(9,axiom,
    general(skc6),
    file('SWX000_1.p',unknown),
    [] ).

cnf(10,axiom,
    general(skc5),
    file('SWX000_1.p',unknown),
    [] ).

cnf(16,axiom,
    s(skc5,skc7),
    file('SWX000_1.p',unknown),
    [] ).

cnf(17,axiom,
    s(skc5,skc6),
    file('SWX000_1.p',unknown),
    [] ).

cnf(20,axiom,
    ~ equal(skc7,skc6),
    file('SWX000_1.p',unknown),
    [] ).

cnf(38,axiom,
    ( ~ general(U)
    | ~ general(V)
    | p__less_equal__(U,V)
    | p__less_equal__(V,U) ),
    file('SWX000_1.p',unknown),
    [] ).

cnf(52,axiom,
    ( ~ general(U)
    | ~ general(V)
    | ~ p__less_equal__(U,V)
    | equal(U,V)
    | p__less__(U,V) ),
    file('SWX000_1.p',unknown),
    [] ).

cnf(55,axiom,
    ( ~ in_cover(U)
    | ~ general(U)
    | ~ in_cover(V)
    | ~ general(V)
    | ~ general(W)
    | ~ p__less__(U,V)
    | ~ s(W,U)
    | ~ s(W,V) ),
    file('SWX000_1.p',unknown),
    [] ).

cnf(882,plain,
    $false,
    inference(thr,[status(thm)],[55,52,38,20,17,16,10,9,8,7,6]),
    [iquote('0:ThR:55,52,38,20,17,16,10,9,8,7,6')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% 0.07/0.13  % Command  : spasst-tptp-script %s %d
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Apr  6 02:57:57 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.21/0.49  % Using integer theory
% 0.94/1.22  
% 0.94/1.22  
% 0.94/1.22  % SZS status Theorem for /tmp/SPASST_16017_n005.cluster.edu
% 0.94/1.22  
% 0.94/1.22  SPASS V 2.2.22  in combination with yices.
% 0.94/1.22  SPASS beiseite: Proof found by SPASS and SMT.
% 0.94/1.22  Problem: /tmp/SPASST_16017_n005.cluster.edu 
% 0.94/1.22  SPASS derived 565 clauses, backtracked 125 clauses and kept 430 clauses.
% 0.94/1.22  SPASS backtracked 3 times (1 times due to theory inconsistency).
% 0.94/1.22  SPASS allocated 6732 KBytes.
% 0.94/1.22  SPASS spent	0:00:00.05 on the problem.
% 0.94/1.22  		0:00:00.00 for the input.
% 0.94/1.22  		0:00:00.00 for the FLOTTER CNF translation.
% 0.94/1.22  		0:00:00.00 for inferences.
% 0.94/1.22  		0:00:00.00 for the backtracking.
% 0.94/1.22  		0:00:00.02 for the reduction.
% 0.94/1.22  		0:00:00.01 for interacting with the SMT procedure.
% 0.94/1.22  		
% 0.94/1.22  
% 0.94/1.22  % SZS output start CNFRefutation for /tmp/SPASST_16017_n005.cluster.edu
% See solution above
% 0.94/1.22  
% 0.94/1.22  Formulae used in the proof : fof_general_type fof_formula_6_constraint_0 fof_f__integer___decl fof_minimal_element_ax fof_formula_4_constraint_1 fof_p__greater__def_ax fof_transitive_ordering_ax
% 0.94/1.22  
% 0.94/1.22  SPASS+T ended
%------------------------------------------------------------------------------