%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : PUZ003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n020.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 : Mon Jul 18 18:27:11 EDT 2022

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   18 (  10 unt;   0 nHn;  18 RR)
%            Number of literals    :   33 (   0 equ;  19 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ member(u)
    | ~ member(v)
    | ~ shaved(v,u)
    | shaved(members,v) ),
    file('PUZ003-1.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ member(u)
    | ~ shaved(members,v)
    | shaved(u,v) ),
    file('PUZ003-1.p',unknown),
    [] ).

cnf(3,axiom,
    member(guido),
    file('PUZ003-1.p',unknown),
    [] ).

cnf(4,axiom,
    member(lorenzo),
    file('PUZ003-1.p',unknown),
    [] ).

cnf(5,axiom,
    member(petruchio),
    file('PUZ003-1.p',unknown),
    [] ).

cnf(6,axiom,
    member(cesare),
    file('PUZ003-1.p',unknown),
    [] ).

cnf(7,axiom,
    shaved(guido,cesare),
    file('PUZ003-1.p',unknown),
    [] ).

cnf(8,axiom,
    ~ shaved(petruchio,lorenzo),
    file('PUZ003-1.p',unknown),
    [] ).

cnf(9,plain,
    ( ~ member(petruchio)
    | ~ shaved(members,lorenzo) ),
    inference(res,[status(thm),theory(equality)],[2,8]),
    [iquote('0:Res:2.2,8.0')] ).

cnf(10,plain,
    ~ shaved(members,lorenzo),
    inference(mrr,[status(thm)],[9,5]),
    [iquote('0:MRR:9.0,5.0')] ).

cnf(15,plain,
    ( ~ member(cesare)
    | ~ member(guido)
    | shaved(members,guido) ),
    inference(res,[status(thm),theory(equality)],[7,1]),
    [iquote('0:Res:7.0,1.2')] ).

cnf(16,plain,
    shaved(members,guido),
    inference(ssi,[status(thm)],[15,3,6]),
    [iquote('0:SSi:15.1,15.0,3.0,6.0')] ).

cnf(17,plain,
    ( ~ member(u)
    | shaved(u,guido) ),
    inference(res,[status(thm),theory(equality)],[16,2]),
    [iquote('0:Res:16.0,2.1')] ).

cnf(21,plain,
    ( ~ member(u)
    | ~ member(guido)
    | ~ member(u)
    | shaved(members,u) ),
    inference(res,[status(thm),theory(equality)],[17,1]),
    [iquote('0:Res:17.1,1.2')] ).

cnf(22,plain,
    ( ~ member(guido)
    | ~ member(u)
    | shaved(members,u) ),
    inference(obv,[status(thm),theory(equality)],[21]),
    [iquote('0:Obv:21.0')] ).

cnf(23,plain,
    ( ~ member(u)
    | shaved(members,u) ),
    inference(ssi,[status(thm)],[22,3]),
    [iquote('0:SSi:22.0,3.0')] ).

cnf(24,plain,
    ~ member(lorenzo),
    inference(res,[status(thm),theory(equality)],[23,10]),
    [iquote('0:Res:23.1,10.0')] ).

cnf(26,plain,
    $false,
    inference(ssi,[status(thm)],[24,4]),
    [iquote('0:SSi:24.0,4.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : PUZ003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n020.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 : Sun May 29 00:15:09 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.42  
% 0.20/0.42  SPASS V 3.9 
% 0.20/0.42  SPASS beiseite: Proof found.
% 0.20/0.42  % SZS status Theorem
% 0.20/0.42  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.42  SPASS derived 8 clauses, backtracked 0 clauses, performed 0 splits and kept 14 clauses.
% 0.20/0.42  SPASS allocated 75600 KBytes.
% 0.20/0.42  SPASS spent	0:00:00.06 on the problem.
% 0.20/0.42  		0:00:00.04 for the input.
% 0.20/0.42  		0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.42  		0:00:00.00 for inferences.
% 0.20/0.42  		0:00:00.00 for the backtracking.
% 0.20/0.42  		0:00:00.00 for the reduction.
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  Here is a proof with depth 4, length 18 :
% 0.20/0.42  % SZS output start Refutation
% See solution above
% 0.20/0.42  Formulae used in the proof : one_shaved_then_all_shaved all_shaved_then_one_shaved guido lorenzo petruchio cesare guido_has_shaved_cesare prove_petruchio_has_shaved_lorenzo
% 0.20/0.42  
%------------------------------------------------------------------------------