%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : ARI603_1 : TPTP v8.1.0. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : spasst-tptp-script %s %d

% Computer : n012.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 22:18:16 EDT 2022

% Result   : Theorem 0.45s 1.02s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   8 unt;   2 nHn;   2 RR)
%            Number of literals    :   12 (   0 equ;   1 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   13 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    greater(f(U),U),
    file('ARI603=1.p',unknown),
    [] ).

cnf(3,axiom,
    ~ less(skc3,plus(skc2,f(U))),
    file('ARI603=1.p',unknown),
    [] ).

cnf(5,axiom,
    equal(plus(U,plus(uminus(U),V)),V),
    file('ARI603=1.p',unknown),
    [] ).

cnf(18,axiom,
    ( lesseq(U,V)
    | less(plus(W,V),plus(W,U)) ),
    file('ARI603=1.p',unknown),
    [] ).

cnf(35,plain,
    less(U,f(U)),
    inference(ars,[status(thm)],[2]),
    [iquote('0:ArS:2.0')] ).

cnf(36,plain,
    lesseq(plus(skc2,f(U)),skc3),
    inference(toc,[status(thm)],[3]),
    [iquote('0:TOC:3.0')] ).

cnf(39,plain,
    ( lesseq(f(U),V)
    | less(plus(skc2,V),skc3) ),
    inference(och,[status(thm)],[36,18]),
    [iquote('0:OCh:36.0,18.1')] ).

cnf(47,plain,
    less(plus(skc2,U),skc3),
    inference(oce,[status(thm)],[39,35]),
    [iquote('0:OCE:39.0,35.0')] ).

cnf(60,plain,
    less(U,skc3),
    inference(spr,[status(thm),theory(equality)],[5,47]),
    [iquote('0:SpR:5.0,47.0')] ).

cnf(64,plain,
    $false,
    inference(bld,[status(thm)],[60]),
    [iquote('0:BLD:60.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ARI603_1 : TPTP v8.1.0. Released v5.1.0.
% 0.07/0.13  % Command  : spasst-tptp-script %s %d
% 0.13/0.34  % Computer : n012.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 14:07:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  % Using integer theory
% 0.45/1.02  
% 0.45/1.02  
% 0.45/1.02  % SZS status Theorem for /tmp/SPASST_32273_n012.cluster.edu
% 0.45/1.02  
% 0.45/1.02  SPASS V 2.2.22  in combination with yices.
% 0.45/1.02  SPASS beiseite: Proof found by SPASS.
% 0.45/1.02  Problem: /tmp/SPASST_32273_n012.cluster.edu 
% 0.45/1.02  SPASS derived 26 clauses, backtracked 0 clauses and kept 50 clauses.
% 0.45/1.02  SPASS backtracked 0 times (0 times due to theory inconsistency).
% 0.45/1.02  SPASS allocated 6235 KBytes.
% 0.45/1.02  SPASS spent	0:00:00.01 on the problem.
% 0.45/1.02  		0:00:00.00 for the input.
% 0.45/1.02  		0:00:00.00 for the FLOTTER CNF translation.
% 0.45/1.02  		0:00:00.00 for inferences.
% 0.45/1.02  		0:00:00.00 for the backtracking.
% 0.45/1.02  		0:00:00.00 for the reduction.
% 0.45/1.02  		0:00:00.00 for interacting with the SMT procedure.
% 0.45/1.02  		
% 0.45/1.02  
% 0.45/1.02  % SZS output start CNFRefutation for /tmp/SPASST_32273_n012.cluster.edu
% See solution above
% 0.45/1.02  
% 0.45/1.02  Formulae used in the proof : fof_f_type fof_fX_gt_X_implies_exist_large_fX
% 0.45/1.02  
% 0.45/1.02  SPASS+T ended
%------------------------------------------------------------------------------