%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV411+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n023.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 : Wed Jul 20 21:42:42 EDT 2022

% Result   : Theorem 0.22s 0.48s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   7 unt;   2 nHn;  13 RR)
%            Number of literals    :   21 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    contains_slb(insert_slb(skc4,pair(skc6,skc7)),skc5),
    file('SWV411+1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ contains_slb(skc4,u)
    | pair_in_list(skc4,u,skf1(u)) ),
    file('SWV411+1.p',unknown),
    [] ).

cnf(13,axiom,
    ~ pair_in_list(insert_slb(skc4,pair(skc6,skc7)),skc5,u),
    file('SWV411+1.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ pair_in_list(u,v,w)
    | pair_in_list(insert_slb(u,pair(x,y)),v,w) ),
    file('SWV411+1.p',unknown),
    [] ).

cnf(21,axiom,
    ( ~ contains_slb(insert_slb(u,pair(v,w)),x)
    | contains_slb(u,x)
    | equal(v,x) ),
    file('SWV411+1.p',unknown),
    [] ).

cnf(24,axiom,
    ( ~ equal(u,v)
    | ~ equal(w,x)
    | pair_in_list(insert_slb(y,pair(w,u)),x,v) ),
    file('SWV411+1.p',unknown),
    [] ).

cnf(30,plain,
    ( equal(skc6,skc5)
    | contains_slb(skc4,skc5) ),
    inference(res,[status(thm),theory(equality)],[9,21]),
    [iquote('0:Res:9.0,21.0')] ).

cnf(34,plain,
    ~ pair_in_list(skc4,skc5,u),
    inference(res,[status(thm),theory(equality)],[20,13]),
    [iquote('0:Res:20.1,13.0')] ).

cnf(35,plain,
    ( ~ equal(skc6,skc5)
    | ~ equal(skc7,u) ),
    inference(res,[status(thm),theory(equality)],[24,13]),
    [iquote('0:Res:24.2,13.0')] ).

cnf(38,plain,
    ~ equal(skc6,skc5),
    inference(aed,[status(thm),theory(equality)],[35]),
    [iquote('0:AED:35.1')] ).

cnf(39,plain,
    contains_slb(skc4,skc5),
    inference(mrr,[status(thm)],[30,38]),
    [iquote('0:MRR:30.0,38.0')] ).

cnf(41,plain,
    ~ contains_slb(skc4,skc5),
    inference(res,[status(thm),theory(equality)],[12,34]),
    [iquote('0:Res:12.1,34.0')] ).

cnf(42,plain,
    $false,
    inference(mrr,[status(thm)],[41,39]),
    [iquote('0:MRR:41.0,39.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWV411+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.15  % Command  : run_spass %d %s
% 0.15/0.37  % Computer : n023.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Wed Jun 15 23:43:05 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.22/0.48  
% 0.22/0.48  SPASS V 3.9 
% 0.22/0.48  SPASS beiseite: Proof found.
% 0.22/0.48  % SZS status Theorem
% 0.22/0.48  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.22/0.48  SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 32 clauses.
% 0.22/0.48  SPASS allocated 85217 KBytes.
% 0.22/0.48  SPASS spent	0:00:00.09 on the problem.
% 0.22/0.48  		0:00:00.04 for the input.
% 0.22/0.48  		0:00:00.03 for the FLOTTER CNF translation.
% 0.22/0.48  		0:00:00.00 for inferences.
% 0.22/0.48  		0:00:00.00 for the backtracking.
% 0.22/0.48  		0:00:00.00 for the reduction.
% 0.22/0.48  
% 0.22/0.48  
% 0.22/0.48  Here is a proof with depth 2, length 13 :
% 0.22/0.48  % SZS output start Refutation
% See solution above
% 0.22/0.48  Formulae used in the proof : l47_co ax23 ax21
% 0.22/0.48  
%------------------------------------------------------------------------------