%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : ARI608_1 : TPTP v8.1.0. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : spasst-tptp-script %s %d

% Computer : n024.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 22:18:18 EDT 2022

% Result   : Theorem 0.45s 1.01s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    9 (   7 unt;   1 nHn;   8 RR)
%            Number of literals    :   11 (   0 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    lesseq(a,b),
    file('ARI608=1.p',unknown),
    [] ).

cnf(6,axiom,
    less(b,c),
    file('ARI608=1.p',unknown),
    [] ).

cnf(7,axiom,
    ~ lesseq(f(a),f(c)),
    file('ARI608=1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ lesseq(U,V)
    | lesseq(f(U),f(V)) ),
    file('ARI608=1.p',unknown),
    [] ).

cnf(40,plain,
    less(f(c),f(a)),
    inference(toc,[status(thm)],[7]),
    [iquote('0:TOC:7.0')] ).

cnf(41,plain,
    ( less(U,V)
    | lesseq(f(V),f(U)) ),
    inference(toc,[status(thm)],[8]),
    [iquote('0:TOC:8.0')] ).

cnf(52,plain,
    less(c,a),
    inference(oce,[status(thm)],[41,40]),
    [iquote('0:OCE:41.1,40.0')] ).

cnf(66,plain,
    less(b,a),
    inference(och,[status(thm)],[6,52]),
    [iquote('0:OCh:6.0,52.0')] ).

cnf(68,plain,
    $false,
    inference(oce,[status(thm)],[66,5]),
    [iquote('0:OCE:66.0,5.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ARI608_1 : TPTP v8.1.0. Released v5.1.0.
% 0.03/0.12  % Command  : spasst-tptp-script %s %d
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun 17 13:53:48 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  % Using integer theory
% 0.45/1.01  
% 0.45/1.01  
% 0.45/1.01  % SZS status Theorem for /tmp/SPASST_26000_n024.cluster.edu
% 0.45/1.01  
% 0.45/1.01  SPASS V 2.2.22  in combination with yices.
% 0.45/1.01  SPASS beiseite: Proof found by SPASS.
% 0.45/1.01  Problem: /tmp/SPASST_26000_n024.cluster.edu 
% 0.45/1.01  SPASS derived 27 clauses, backtracked 4 clauses and kept 50 clauses.
% 0.45/1.01  SPASS backtracked 2 times (0 times due to theory inconsistency).
% 0.45/1.01  SPASS allocated 6228 KBytes.
% 0.45/1.01  SPASS spent	0:00:00.01 on the problem.
% 0.45/1.01  		0:00:00.00 for the input.
% 0.45/1.01  		0:00:00.00 for the FLOTTER CNF translation.
% 0.45/1.01  		0:00:00.00 for inferences.
% 0.45/1.01  		0:00:00.00 for the backtracking.
% 0.45/1.01  		0:00:00.00 for the reduction.
% 0.45/1.01  		0:00:00.00 for interacting with the SMT procedure.
% 0.45/1.01  		
% 0.45/1.01  
% 0.45/1.01  % SZS output start CNFRefutation for /tmp/SPASST_26000_n024.cluster.edu
% See solution above
% 0.45/1.01  
% 0.45/1.01  Formulae used in the proof : fof_f_type fof_f_mon_implies_trans
% 0.75/1.03  
% 0.75/1.03  SPASS+T ended
%------------------------------------------------------------------------------