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CSE---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : PUZ012-1 : TPTP v8.2.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n022.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 : Mon Jun 24 13:42:03 EDT 2024

% Result   : Unsatisfiable 58.52s 59.18s
% Output   : CNFRefutation 59.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : PUZ012-1 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.06/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.34  % Computer : n022.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit   : 300
% 0.11/0.34  % WCLimit    : 300
% 0.11/0.34  % DateTime   : Tue Jun 18 10:56:38 EDT 2024
% 0.11/0.34  % CPUTime    : 
% 0.52/0.59  start to proof:theBenchmark
% 58.52/59.15  %-------------------------------------------
% 58.52/59.15  % File        :CSE---1.7
% 58.52/59.15  % Problem     :theBenchmark
% 58.52/59.15  % Transform   :cnf
% 58.52/59.15  % Format      :tptp:raw
% 58.52/59.15  % Command     :java -jar mcs_scs.jar %d %s
% 58.52/59.15  
% 58.52/59.15  % Result      :Theorem 58.000000s
% 58.52/59.15  % Output      :CNFRefutation 58.000000s
% 58.52/59.15  %-------------------------------------------
% 58.52/59.18  %--------------------------------------------------------------------------
% 58.52/59.18  % File     : PUZ012-1 : TPTP v8.2.0. Bugfixed v1.2.1.
% 58.52/59.18  % Domain   : Puzzles
% 58.52/59.18  % Problem  : The Mislabeled Boxes
% 58.52/59.18  % Version  : Especial.
% 58.52/59.18  % English  : There are three boxes a, b, and c on a table. Each box contains
% 58.52/59.18  %            apples or bananas or oranges. No two boxes contain the same
% 58.52/59.18  %            thing. Each box has a label that says it contains apples or says
% 58.52/59.18  %            it contains bananas or says it contains oranges. No box contains
% 58.52/59.18  %            what it says on its label. The label on box a says "apples".
% 58.52/59.18  %            The label on box b says "oranges". The label on box c says
% 58.52/59.18  %            "bananas". You pick up box b and it contains apples. What do
% 58.52/59.18  %            the other two boxes contain?
% 58.52/59.18  
% 58.52/59.18  % Refs     : [WO+92] Wos et al. (1992), Automated Reasoning: Introduction a
% 58.52/59.18  %          : [Wos88] Wos (1988), Automated Reasoning - 33 Basic Research Pr
% 58.52/59.18  % Source   : [ANL]
% 58.52/59.18  % Names    : Boxes-of-fruit [WO+92]
% 58.52/59.18  %          : Boxes-of-fruit [Wos88]
% 58.52/59.18  %          : boxes.ver1.in [ANL]
% 58.52/59.18  
% 58.52/59.18  % Status   : Unsatisfiable
% 58.52/59.18  % Rating   : 0.00 v2.0.0
% 58.52/59.18  % Syntax   : Number of clauses     :   18 (  12 unt;   2 nHn;  14 RR)
% 58.52/59.18  %            Number of literals    :   28 (   0 equ;  14 neg)
% 58.52/59.18  %            Maximal clause size   :    3 (   1 avg)
% 58.52/59.18  %            Maximal term depth    :    1 (   1 avg)
% 58.52/59.18  %            Number of predicates  :    4 (   4 usr;   0 prp; 2-2 aty)
% 58.52/59.18  %            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
% 58.52/59.18  %            Number of variables   :   12 (   0 sgn)
% 58.52/59.18  % SPC      : CNF_UNS_EPR_NEQ_NHN
% 58.52/59.18  
% 58.52/59.18  % Comments :
% 58.52/59.18  % Bugfixes : v1.2.1 - Theorem clause uncommented (commented out during some
% 58.52/59.18  %            local testing, and forgot to uncomment it again).
% 58.52/59.18  %--------------------------------------------------------------------------
% 58.52/59.18  cnf(reflexivity_for_fruits,axiom,
% 58.52/59.18      equal_fruits(X,X) ).
% 58.52/59.18  
% 58.52/59.18  cnf(reflexivity_for_boxes,axiom,
% 58.52/59.18      equal_boxes(X,X) ).
% 58.52/59.18  
% 58.52/59.18  cnf(label_is_wrong,axiom,
% 58.52/59.18      ( ~ label(X,Y)
% 58.52/59.18      | ~ contains(X,Y) ) ).
% 58.52/59.18  
% 58.52/59.18  cnf(each_thing_is_in_a_box,axiom,
% 58.52/59.18      ( contains(boxa,X)
% 58.52/59.18      | contains(boxb,X)
% 58.52/59.18      | contains(boxc,X) ) ).
% 58.52/59.18  
% 58.52/59.18  cnf(each_box_contains_something,axiom,
% 58.52/59.18      ( contains(X,apples)
% 58.52/59.18      | contains(X,bananas)
% 58.52/59.18      | contains(X,oranges) ) ).
% 58.52/59.18  
% 58.52/59.18  cnf(contains_is_well_defined1,axiom,
% 58.52/59.18      ( ~ contains(X,Y)
% 58.52/59.18      | ~ contains(X,Z)
% 58.52/59.18      | equal_fruits(Y,Z) ) ).
% 58.52/59.18  
% 58.52/59.18  cnf(contains_is_well_defined2,axiom,
% 58.52/59.18      ( ~ contains(X,Y)
% 58.52/59.18      | ~ contains(Z,Y)
% 58.52/59.18      | equal_boxes(X,Z) ) ).
% 58.52/59.18  
% 58.52/59.18  cnf(boxa_not_boxb,axiom,
% 58.52/59.18      ~ equal_boxes(boxa,boxb) ).
% 58.52/59.18  
% 58.52/59.18  cnf(boxb_not_boxc,axiom,
% 58.52/59.18      ~ equal_boxes(boxb,boxc) ).
% 58.52/59.18  
% 58.52/59.18  cnf(boxa_not_boxc,axiom,
% 58.52/59.18      ~ equal_boxes(boxa,boxc) ).
% 58.52/59.18  
% 58.52/59.18  cnf(apples_not_bananas,axiom,
% 58.52/59.18      ~ equal_fruits(apples,bananas) ).
% 58.52/59.18  
% 58.52/59.18  cnf(bananas_not_oranges,axiom,
% 58.52/59.18      ~ equal_fruits(bananas,oranges) ).
% 58.52/59.18  
% 58.52/59.18  cnf(apples_not_oranges,axiom,
% 58.52/59.18      ~ equal_fruits(apples,oranges) ).
% 58.52/59.18  
% 58.52/59.18  cnf(boxa_labelled_apples,hypothesis,
% 58.52/59.18      label(boxa,apples) ).
% 58.52/59.18  
% 58.52/59.18  cnf(boxb_labelled_oranges,hypothesis,
% 58.52/59.18      label(boxb,oranges) ).
% 58.52/59.18  
% 58.52/59.18  cnf(boxc_labelled_bananas,hypothesis,
% 58.52/59.18      label(boxc,bananas) ).
% 58.52/59.18  
% 58.52/59.18  cnf(boxb_contains_apples,hypothesis,
% 58.52/59.18      contains(boxb,apples) ).
% 58.52/59.18  
% 58.52/59.18  cnf(prove_boxa_contains_bananas_and_boxc_oranges,negated_conjecture,
% 58.52/59.18      ( ~ contains(boxa,bananas)
% 58.52/59.18      | ~ contains(boxc,oranges) ) ).
% 58.52/59.18  
% 58.52/59.18  %--------------------------------------------------------------------------
% 58.52/59.18  %-------------------------------------------
% 58.52/59.18  % Proof found
% 58.52/59.18  % SZS status Theorem for theBenchmark
% 58.52/59.18  % SZS output start Proof
% 58.52/59.21  %ClaNum:18(EqnAxiom:0)
% 58.52/59.21  %VarNum:26(SingletonVarNum:12)
% 58.52/59.21  %MaxLitNum:3
% 58.52/59.21  %MaxfuncDepth:0
% 58.52/59.21  %SharedTerms:18
% 58.52/59.21  %goalClause: 13
% 58.52/59.21  [1]P1(a1,a2)
% 58.52/59.21  [2]P1(a4,a5)
% 58.52/59.21  [3]P1(a6,a3)
% 58.52/59.21  [4]P2(a4,a2)
% 58.52/59.21  [7]~P3(a2,a3)
% 58.52/59.21  [8]~P3(a2,a5)
% 58.52/59.21  [9]~P3(a3,a5)
% 58.52/59.21  [10]~P4(a1,a4)
% 58.52/59.21  [11]~P4(a1,a6)
% 58.52/59.21  [12]~P4(a4,a6)
% 58.52/59.21  [5]P3(x51,x51)
% 58.52/59.21  [6]P4(x61,x61)
% 58.52/59.21  [13]~P2(a1,a3)+~P2(a6,a5)
% 58.52/59.21  [16]~P2(x161,x162)+~P1(x161,x162)
% 58.52/59.21  [14]P2(x141,a3)+P2(x141,a5)+P2(x141,a2)
% 58.52/59.21  [15]P2(a4,x151)+P2(a6,x151)+P2(a1,x151)
% 58.52/59.21  [17]~P2(x173,x171)+P3(x171,x172)+~P2(x173,x172)
% 58.52/59.21  [18]~P2(x181,x183)+P4(x181,x182)+~P2(x182,x183)
% 58.52/59.21  %EqnAxiom
% 58.52/59.21  
% 58.52/59.21  %-------------------------------------------
% 59.05/59.68  cnf(37,plain,
% 59.05/59.68     (P2(a1,a3)+P2(a4,a3)),
% 59.05/59.68     inference(scs_inference,[],[3,4,16,17,18,15])).
% 59.05/59.69  cnf(39,plain,
% 59.05/59.69     (P2(a4,a3)+~P2(a6,a5)),
% 59.05/59.69     inference(scs_inference,[],[3,4,16,17,18,15,13])).
% 59.05/59.69  cnf(40,plain,
% 59.05/59.69     (P2(a6,a2)+P2(a4,a3)),
% 59.05/59.69     inference(scs_inference,[],[3,4,16,17,18,15,13,14])).
% 59.05/59.69  cnf(377456,plain,
% 59.05/59.69     ($false),
% 59.05/59.69     inference(scs_inference,[],[7,12,4,17,18,37,39,40]),
% 59.05/59.69     ['proof']).
% 59.35/59.95  % SZS output end Proof
% 59.35/59.95  % Total time :58.000000s
%------------------------------------------------------------------------------