%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : MSC005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% 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 : Sun Jul 17 22:59:29 EDT 2022

% Result   : Unsatisfiable 0.18s 0.40s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (   7 unt;   0 nHn;  14 RR)
%            Number of literals    :   24 (   0 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    value(truth,truth),
    file('MSC005-1.p',unknown),
    [] ).

cnf(2,axiom,
    value(falsity,falsity),
    file('MSC005-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ value(u,truth)
    | ~ value(v,truth)
    | value(xor__dfg(v,u),falsity) ),
    file('MSC005-1.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ value(u,falsity)
    | ~ value(v,truth)
    | value(xor__dfg(v,u),truth) ),
    file('MSC005-1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ value(u,falsity)
    | ~ value(v,falsity)
    | value(xor__dfg(v,u),falsity) ),
    file('MSC005-1.p',unknown),
    [] ).

cnf(7,axiom,
    ~ value(xor__dfg(xor__dfg(xor__dfg(xor__dfg(truth,falsity),falsity),truth),falsity),u),
    file('MSC005-1.p',unknown),
    [] ).

cnf(9,plain,
    ( ~ value(xor__dfg(xor__dfg(xor__dfg(truth,falsity),falsity),truth),falsity)
    | ~ value(falsity,falsity) ),
    inference(res,[status(thm),theory(equality)],[6,7]),
    [iquote('0:Res:6.2,7.0')] ).

cnf(12,plain,
    ~ value(xor__dfg(xor__dfg(xor__dfg(truth,falsity),falsity),truth),falsity),
    inference(mrr,[status(thm)],[9,2]),
    [iquote('0:MRR:9.1,2.0')] ).

cnf(22,plain,
    ( ~ value(truth,truth)
    | ~ value(xor__dfg(xor__dfg(truth,falsity),falsity),truth) ),
    inference(res,[status(thm),theory(equality)],[3,12]),
    [iquote('0:Res:3.2,12.0')] ).

cnf(25,plain,
    ~ value(xor__dfg(xor__dfg(truth,falsity),falsity),truth),
    inference(mrr,[status(thm)],[22,1]),
    [iquote('0:MRR:22.0,1.0')] ).

cnf(26,plain,
    ( ~ value(falsity,falsity)
    | ~ value(xor__dfg(truth,falsity),truth) ),
    inference(res,[status(thm),theory(equality)],[4,25]),
    [iquote('0:Res:4.2,25.0')] ).

cnf(28,plain,
    ~ value(xor__dfg(truth,falsity),truth),
    inference(mrr,[status(thm)],[26,2]),
    [iquote('0:MRR:26.0,2.0')] ).

cnf(29,plain,
    ( ~ value(falsity,falsity)
    | ~ value(truth,truth) ),
    inference(res,[status(thm),theory(equality)],[4,28]),
    [iquote('0:Res:4.2,28.0')] ).

cnf(31,plain,
    $false,
    inference(mrr,[status(thm)],[29,2,1]),
    [iquote('0:MRR:29.0,29.1,2.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : MSC005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.11/0.33  % Computer : n012.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 Jul  1 16:25:47 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.40  
% 0.18/0.40  SPASS V 3.9 
% 0.18/0.40  SPASS beiseite: Proof found.
% 0.18/0.40  % SZS status Theorem
% 0.18/0.40  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.40  SPASS derived 17 clauses, backtracked 0 clauses, performed 0 splits and kept 20 clauses.
% 0.18/0.40  SPASS allocated 63101 KBytes.
% 0.18/0.40  SPASS spent	0:00:00.06 on the problem.
% 0.18/0.40  		0:00:00.04 for the input.
% 0.18/0.40  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.40  		0:00:00.00 for inferences.
% 0.18/0.40  		0:00:00.00 for the backtracking.
% 0.18/0.40  		0:00:00.00 for the reduction.
% 0.18/0.40  
% 0.18/0.40  
% 0.18/0.40  Here is a proof with depth 4, length 14 :
% 0.18/0.40  % SZS output start Refutation
% See solution above
% 0.18/0.40  Formulae used in the proof : true_is_true false_is_false true_xor_true true_xor_false false_xor_false evaluate_expression
% 0.18/0.40  
%------------------------------------------------------------------------------