TSTP Solution File: PUZ001-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : PUZ001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n002.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  : 300s
% DateTime : Thu Aug 31 13:10:48 EDT 2023

% Result   : Unsatisfiable 0.19s 0.62s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PUZ001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n002.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    : 300
% 0.13/0.34  % DateTime   : Sat Aug 26 22:30:18 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.56  start to proof:theBenchmark
% 0.19/0.61  %-------------------------------------------
% 0.19/0.61  % File        :CSE---1.6
% 0.19/0.61  % Problem     :theBenchmark
% 0.19/0.61  % Transform   :cnf
% 0.19/0.61  % Format      :tptp:raw
% 0.19/0.61  % Command     :java -jar mcs_scs.jar %d %s
% 0.19/0.61  
% 0.19/0.61  % Result      :Theorem 0.000000s
% 0.19/0.61  % Output      :CNFRefutation 0.000000s
% 0.19/0.61  %-------------------------------------------
% 0.19/0.61  %------------------------------------------------------------------------------
% 0.19/0.61  % File     : PUZ001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.61  % Domain   : Puzzles
% 0.19/0.61  % Problem  : Dreadbury Mansion
% 0.19/0.61  % Version  : Especial.
% 0.19/0.61  %            Theorem formulation : Made unsatisfiable.
% 0.19/0.61  % English  : Someone who lives in Dreadbury Mansion killed Aunt Agatha.
% 0.19/0.61  %            Agatha, the butler, and Charles live in Dreadbury Mansion,
% 0.19/0.61  %            and are the only people who live therein. A killer always
% 0.19/0.61  %            hates his victim, and is never richer than his victim.
% 0.19/0.61  %            Charles hates no one that Aunt Agatha hates. Agatha hates
% 0.19/0.61  %            everyone except the butler. The butler hates everyone not
% 0.19/0.61  %            richer than Aunt Agatha. The butler hates everyone Aunt
% 0.19/0.61  %            Agatha hates. No one hates everyone. Agatha is not the
% 0.19/0.61  %            butler. Therefore : Agatha killed herself.
% 0.19/0.61  
% 0.19/0.61  % Refs     : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% 0.19/0.61  %          : [MB88]  Manthey & Bry (1988), SATCHMO: A Theorem Prover Implem
% 0.19/0.61  % Source   : [TPTP]
% 0.19/0.61  % Names    :
% 0.19/0.61  
% 0.19/0.61  % Status   : Unsatisfiable
% 0.19/0.61  % Rating   : 0.00 v2.0.0
% 0.19/0.61  % Syntax   : Number of clauses     :   12 (   5 unt;   2 nHn;  12 RR)
% 0.19/0.61  %            Number of literals    :   21 (   0 equ;  10 neg)
% 0.19/0.61  %            Maximal clause size   :    3 (   1 avg)
% 0.19/0.61  %            Maximal term depth    :    1 (   1 avg)
% 0.19/0.61  %            Number of predicates  :    4 (   4 usr;   0 prp; 1-2 aty)
% 0.19/0.61  %            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
% 0.19/0.61  %            Number of variables   :    8 (   0 sgn)
% 0.19/0.61  % SPC      : CNF_UNS_EPR_NEQ_NHN
% 0.19/0.61  
% 0.19/0.61  % Comments : Modified from the [MB88] version to be unsatisfiable, by Geoff
% 0.19/0.61  %            Sutcliffe.
% 0.19/0.61  %          : Also known as "Who killed Aunt Agatha"
% 0.19/0.61  %------------------------------------------------------------------------------
% 0.19/0.61  cnf(agatha,hypothesis,
% 0.19/0.61      lives(agatha) ).
% 0.19/0.61  
% 0.19/0.61  cnf(butler,hypothesis,
% 0.19/0.61      lives(butler) ).
% 0.19/0.61  
% 0.19/0.61  cnf(charles,hypothesis,
% 0.19/0.61      lives(charles) ).
% 0.19/0.61  
% 0.19/0.61  cnf(poorer_killer,hypothesis,
% 0.19/0.61      ( ~ killed(X,Y)
% 0.19/0.61      | ~ richer(X,Y) ) ).
% 0.19/0.61  
% 0.19/0.61  cnf(different_hates,hypothesis,
% 0.19/0.61      ( ~ hates(agatha,X)
% 0.19/0.61      | ~ hates(charles,X) ) ).
% 0.19/0.61  
% 0.19/0.61  cnf(no_one_hates_everyone,hypothesis,
% 0.19/0.61      ( ~ hates(X,agatha)
% 0.19/0.61      | ~ hates(X,butler)
% 0.19/0.61      | ~ hates(X,charles) ) ).
% 0.19/0.61  
% 0.19/0.61  cnf(agatha_hates_agatha,hypothesis,
% 0.19/0.62      hates(agatha,agatha) ).
% 0.19/0.62  
% 0.19/0.62  cnf(agatha_hates_charles,hypothesis,
% 0.19/0.62      hates(agatha,charles) ).
% 0.19/0.62  
% 0.19/0.62  cnf(killer_hates_victim,hypothesis,
% 0.19/0.62      ( ~ killed(X,Y)
% 0.19/0.62      | hates(X,Y) ) ).
% 0.19/0.62  
% 0.19/0.62  cnf(same_hates,hypothesis,
% 0.19/0.62      ( ~ hates(agatha,X)
% 0.19/0.62      | hates(butler,X) ) ).
% 0.19/0.62  
% 0.19/0.62  cnf(butler_hates_poor,hypothesis,
% 0.19/0.62      ( ~ lives(X)
% 0.19/0.62      | richer(X,agatha)
% 0.19/0.62      | hates(butler,X) ) ).
% 0.19/0.62  
% 0.19/0.62  %----Literal dropped from here to make it unsatisfiable
% 0.19/0.62  cnf(prove_neither_charles_nor_butler_did_it,negated_conjecture,
% 0.19/0.62      ( killed(butler,agatha)
% 0.19/0.62      | killed(charles,agatha) ) ).
% 0.19/0.62  
% 0.19/0.62  %------------------------------------------------------------------------------
% 0.19/0.62  %-------------------------------------------
% 0.19/0.62  % Proof found
% 0.19/0.62  % SZS status Theorem for theBenchmark
% 0.19/0.62  % SZS output start Proof
% 0.19/0.62  %ClaNum:12(EqnAxiom:0)
% 0.19/0.62  %VarNum:18(SingletonVarNum:8)
% 0.19/0.62  %MaxLitNum:3
% 0.19/0.62  %MaxfuncDepth:0
% 0.19/0.62  %SharedTerms:10
% 0.19/0.62  %goalClause: 6
% 0.19/0.62  [1]P1(a1)
% 0.19/0.62  [2]P1(a2)
% 0.19/0.62  [3]P1(a3)
% 0.19/0.62  [4]P2(a1,a1)
% 0.19/0.62  [5]P2(a1,a3)
% 0.19/0.62  [6]P3(a2,a1)+P3(a3,a1)
% 0.19/0.62  [8]~P2(a1,x81)+P2(a2,x81)
% 0.19/0.62  [10]~P2(a3,x101)+~P2(a1,x101)
% 0.19/0.62  [9]~P3(x91,x92)+P2(x91,x92)
% 0.19/0.62  [11]~P4(x111,x112)+~P3(x111,x112)
% 0.19/0.62  [7]~P1(x71)+P2(a2,x71)+P4(x71,a1)
% 0.19/0.62  [12]~P2(x121,a2)+~P2(x121,a3)+~P2(x121,a1)
% 0.19/0.62  %EqnAxiom
% 0.19/0.62  
% 0.19/0.62  %-------------------------------------------
% 0.19/0.62  cnf(17,plain,
% 0.19/0.62     (P2(a2,a1)),
% 0.19/0.62     inference(scs_inference,[],[4,5,10,9,12,8])).
% 0.19/0.62  cnf(22,plain,
% 0.19/0.62     (P2(a2,a2)),
% 0.19/0.62     inference(scs_inference,[],[2,4,5,10,9,12,8,6,11,7])).
% 0.19/0.62  cnf(26,plain,
% 0.19/0.62     ($false),
% 0.19/0.62     inference(scs_inference,[],[5,17,22,12,8]),
% 0.19/0.62     ['proof']).
% 0.19/0.62  % SZS output end Proof
% 0.19/0.62  % Total time :0.000000s
%------------------------------------------------------------------------------