%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : ARI605_1 : TPTP v8.1.0. Released v5.1.0.
% 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  : 600s
% DateTime : Thu Jul 14 22:18:17 EDT 2022

% Result   : Theorem 0.43s 0.99s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   13 (   7 unt;   5 nHn;   7 RR)
%            Number of literals    :   19 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    greater(f(U),U),
    file('ARI605=1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ less(U,plus(f(a),f(b)))
    | ~ less(plus(a,b),U) ),
    file('ARI605=1.p',unknown),
    [] ).

cnf(19,axiom,
    ( lesseq(U,V)
    | less(plus(V,W),plus(U,W)) ),
    file('ARI605=1.p',unknown),
    [] ).

cnf(20,axiom,
    ( lesseq(U,V)
    | less(plus(W,V),plus(W,U)) ),
    file('ARI605=1.p',unknown),
    [] ).

cnf(37,plain,
    less(U,f(U)),
    inference(ars,[status(thm)],[4]),
    [iquote('0:ArS:4.0')] ).

cnf(38,plain,
    ( lesseq(U,plus(a,b))
    | lesseq(plus(f(a),f(b)),U) ),
    inference(toc,[status(thm)],[5]),
    [iquote('0:TOC:5.1')] ).

cnf(44,plain,
    ( lesseq(plus(f(a),U),plus(a,b))
    | lesseq(f(b),U) ),
    inference(oce,[status(thm)],[38,20]),
    [iquote('0:OCE:38.1,20.1')] ).

cnf(53,plain,
    ( lesseq(f(b),b)
    | lesseq(f(a),a) ),
    inference(oce,[status(thm)],[44,19]),
    [iquote('0:OCE:44.0,19.1')] ).

cnf(57,plain,
    lesseq(f(b),b),
    inference(spt,[spt(split,[position(s1)])],[53]),
    [iquote('1:Spt:53.0')] ).

cnf(58,plain,
    $false,
    inference(oce,[status(thm)],[57,37]),
    [iquote('1:OCE:57.0,37.0')] ).

cnf(60,plain,
    ~ lesseq(f(b),b),
    inference(spt,[spt(split,[position(sa)])],[58,57]),
    [iquote('1:Spt:58.0,53.0,57.0')] ).

cnf(61,plain,
    lesseq(f(a),a),
    inference(spt,[spt(split,[position(s2)])],[53]),
    [iquote('1:Spt:58.0,53.1')] ).

cnf(63,plain,
    $false,
    inference(oce,[status(thm)],[61,37]),
    [iquote('1:OCE:61.0,37.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : ARI605_1 : TPTP v8.1.0. Released v5.1.0.
% 0.11/0.12  % Command  : spasst-tptp-script %s %d
% 0.11/0.33  % Computer : n005.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Fri Jun 17 14:20:08 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.19/0.45  % Using integer theory
% 0.43/0.99  
% 0.43/0.99  
% 0.43/0.99  % SZS status Theorem for /tmp/SPASST_22743_n005.cluster.edu
% 0.43/0.99  
% 0.43/0.99  SPASS V 2.2.22  in combination with yices.
% 0.43/0.99  SPASS beiseite: Proof found by SPASS.
% 0.43/0.99  Problem: /tmp/SPASST_22743_n005.cluster.edu 
% 0.43/0.99  SPASS derived 23 clauses, backtracked 2 clauses and kept 53 clauses.
% 0.43/0.99  SPASS backtracked 2 times (0 times due to theory inconsistency).
% 0.43/0.99  SPASS allocated 6237 KBytes.
% 0.43/0.99  SPASS spent	0:00:00.01 on the problem.
% 0.43/0.99  		0:00:00.00 for the input.
% 0.43/0.99  		0:00:00.00 for the FLOTTER CNF translation.
% 0.43/0.99  		0:00:00.00 for inferences.
% 0.43/0.99  		0:00:00.00 for the backtracking.
% 0.43/0.99  		0:00:00.00 for the reduction.
% 0.43/0.99  		0:00:00.00 for interacting with the SMT procedure.
% 0.43/0.99  		
% 0.43/0.99  
% 0.43/0.99  % SZS output start CNFRefutation for /tmp/SPASST_22743_n005.cluster.edu
% See solution above
% 0.43/0.99  
% 0.43/0.99  Formulae used in the proof : fof_a_type fof_fX_gt_X_implies_f_a_b
% 0.43/1.01  
% 0.43/1.01  SPASS+T ended
%------------------------------------------------------------------------------