TSTP Solution File: LCL223-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL223-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n014.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 12:50:50 EDT 2022

% Result   : Unsatisfiable 137.05s 137.26s
% Output   : CNFRefutation 137.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   70 (  36 unt;   0 nHn;  32 RR)
%            Number of literals    :  115 (   0 equ;  46 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  178 (  19 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
    axiom(or(not(or(A,A)),A)) ).

cnf(axiom_1_3,axiom,
    axiom(or(not(A),or(B,A))) ).

cnf(axiom_1_4,axiom,
    axiom(or(not(or(A,B)),or(B,A))) ).

cnf(axiom_1_5,axiom,
    axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ).

cnf(axiom_1_6,axiom,
    axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) ).

cnf(rule_1,axiom,
    ( theorem(X)
    | ~ axiom(X) ) ).

cnf(rule_2,axiom,
    ( theorem(X)
    | ~ axiom(or(not(Y),X))
    | ~ theorem(Y) ) ).

cnf(rule_3,axiom,
    ( theorem(or(not(X),Z))
    | ~ axiom(or(not(X),Y))
    | ~ theorem(or(not(Y),Z)) ) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(or(not(or(p,q)),or(not(or(p,or(not(q),r))),or(p,r)))) ).

cnf(refute_0_0,plain,
    ( ~ axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))
    | ~ theorem(or(A,or(B,C)))
    | theorem(or(B,or(A,C))) ),
    inference(subst,[],[rule_2:[bind(X,$fot(or(B,or(A,C)))),bind(Y,$fot(or(A,or(B,C))))]]) ).

cnf(refute_0_1,plain,
    ( ~ theorem(or(A,or(B,C)))
    | theorem(or(B,or(A,C))) ),
    inference(resolve,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ theorem(or(not(or(X_193822,or(not(X_193821),X_193823))),or(not(or(X_193822,X_193821)),or(X_193822,X_193823))))
    | theorem(or(not(or(X_193822,X_193821)),or(not(or(X_193822,or(not(X_193821),X_193823))),or(X_193822,X_193823)))) ),
    inference(subst,[],[refute_0_1:[bind(A,$fot(not(or(X_193822,or(not(X_193821),X_193823))))),bind(B,$fot(not(or(X_193822,X_193821)))),bind(C,$fot(or(X_193822,X_193823)))]]) ).

cnf(refute_0_3,plain,
    ( ~ axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))
    | ~ theorem(or(not(or(B,or(A,C))),X_462))
    | theorem(or(not(or(A,or(B,C))),X_462)) ),
    inference(subst,[],[rule_3:[bind(X,$fot(or(A,or(B,C)))),bind(Y,$fot(or(B,or(A,C)))),bind(Z,$fot(X_462))]]) ).

cnf(refute_0_4,plain,
    ( ~ theorem(or(not(or(B,or(A,C))),X_462))
    | theorem(or(not(or(A,or(B,C))),X_462)) ),
    inference(resolve,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ theorem(or(not(or(not(X_188650),or(X_188651,X_188652))),or(not(or(X_188651,X_188650)),or(X_188651,X_188652))))
    | theorem(or(not(or(X_188651,or(not(X_188650),X_188652))),or(not(or(X_188651,X_188650)),or(X_188651,X_188652)))) ),
    inference(subst,[],[refute_0_4:[bind(A,$fot(X_188651)),bind(B,$fot(not(X_188650))),bind(C,$fot(X_188652)),bind(X_462,$fot(or(not(or(X_188651,X_188650)),or(X_188651,X_188652))))]]) ).

cnf(refute_0_6,plain,
    ( ~ axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B))))
    | ~ theorem(or(not(A),B))
    | theorem(or(not(or(C,A)),or(C,B))) ),
    inference(subst,[],[rule_2:[bind(X,$fot(or(not(or(C,A)),or(C,B)))),bind(Y,$fot(or(not(A),B)))]]) ).

cnf(refute_0_7,plain,
    ( ~ theorem(or(not(A),B))
    | theorem(or(not(or(C,A)),or(C,B))) ),
    inference(resolve,[$cnf( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )],[axiom_1_6,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ theorem(or(not(or(X_6035,or(X_6035,X_6034))),or(X_6035,X_6034)))
    | theorem(or(not(or(C,or(X_6035,or(X_6035,X_6034)))),or(C,or(X_6035,X_6034)))) ),
    inference(subst,[],[refute_0_7:[bind(A,$fot(or(X_6035,or(X_6035,X_6034)))),bind(B,$fot(or(X_6035,X_6034)))]]) ).

cnf(refute_0_9,plain,
    axiom(or(not(or(X_23,X_23)),X_23)),
    inference(subst,[],[axiom_1_2:[bind(A,$fot(X_23))]]) ).

cnf(refute_0_10,plain,
    ( ~ axiom(or(not(or(X_23,X_23)),X_23))
    | ~ theorem(or(X_23,X_23))
    | theorem(X_23) ),
    inference(subst,[],[rule_2:[bind(X,$fot(X_23)),bind(Y,$fot(or(X_23,X_23)))]]) ).

cnf(refute_0_11,plain,
    ( ~ theorem(or(X_23,X_23))
    | theorem(X_23) ),
    inference(resolve,[$cnf( axiom(or(not(or(X_23,X_23)),X_23)) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( ~ theorem(or(or(not(or(or(X_2417,X_2416),X_2417)),or(X_2417,X_2416)),or(not(or(or(X_2417,X_2416),X_2417)),or(X_2417,X_2416))))
    | theorem(or(not(or(or(X_2417,X_2416),X_2417)),or(X_2417,X_2416))) ),
    inference(subst,[],[refute_0_11:[bind(X_23,$fot(or(not(or(or(X_2417,X_2416),X_2417)),or(X_2417,X_2416))))]]) ).

cnf(refute_0_13,plain,
    ( ~ theorem(or(X_2406,or(or(not(or(X_2407,X_2409)),or(X_2409,X_2408)),X_2407)))
    | theorem(or(or(not(or(X_2407,X_2409)),or(X_2409,X_2408)),or(X_2406,X_2407))) ),
    inference(subst,[],[refute_0_1:[bind(A,$fot(X_2406)),bind(B,$fot(or(not(or(X_2407,X_2409)),or(X_2409,X_2408)))),bind(C,$fot(X_2407))]]) ).

cnf(refute_0_14,plain,
    axiom(or(not(X_24),or(B,X_24))),
    inference(subst,[],[axiom_1_3:[bind(A,$fot(X_24))]]) ).

cnf(refute_0_15,plain,
    ( ~ axiom(or(not(X_24),or(B,X_24)))
    | ~ theorem(X_24)
    | theorem(or(B,X_24)) ),
    inference(subst,[],[rule_2:[bind(X,$fot(or(B,X_24))),bind(Y,$fot(X_24))]]) ).

cnf(refute_0_16,plain,
    ( ~ theorem(X_24)
    | theorem(or(B,X_24)) ),
    inference(resolve,[$cnf( axiom(or(not(X_24),or(B,X_24))) )],[refute_0_14,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( ~ theorem(or(or(not(or(X_2403,X_2405)),or(X_2405,X_2404)),X_2403))
    | theorem(or(B,or(or(not(or(X_2403,X_2405)),or(X_2405,X_2404)),X_2403))) ),
    inference(subst,[],[refute_0_16:[bind(X_24,$fot(or(or(not(or(X_2403,X_2405)),or(X_2405,X_2404)),X_2403)))]]) ).

cnf(refute_0_18,plain,
    ( ~ axiom(or(not(or(A,B)),or(B,A)))
    | ~ theorem(or(A,B))
    | theorem(or(B,A)) ),
    inference(subst,[],[rule_2:[bind(X,$fot(or(B,A))),bind(Y,$fot(or(A,B)))]]) ).

cnf(refute_0_19,plain,
    ( ~ theorem(or(A,B))
    | theorem(or(B,A)) ),
    inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( ~ theorem(or(X_1746,or(not(or(X_1746,X_1748)),or(X_1748,X_1747))))
    | theorem(or(or(not(or(X_1746,X_1748)),or(X_1748,X_1747)),X_1746)) ),
    inference(subst,[],[refute_0_19:[bind(A,$fot(X_1746)),bind(B,$fot(or(not(or(X_1746,X_1748)),or(X_1748,X_1747))))]]) ).

cnf(refute_0_21,plain,
    ( ~ theorem(or(not(or(X_1680,X_1682)),or(X_1680,or(X_1682,X_1681))))
    | theorem(or(X_1680,or(not(or(X_1680,X_1682)),or(X_1682,X_1681)))) ),
    inference(subst,[],[refute_0_1:[bind(A,$fot(not(or(X_1680,X_1682)))),bind(B,$fot(X_1680)),bind(C,$fot(or(X_1682,X_1681)))]]) ).

cnf(refute_0_22,plain,
    ( ~ theorem(or(not(X_1640),or(X_1640,X_1639)))
    | theorem(or(not(or(C,X_1640)),or(C,or(X_1640,X_1639)))) ),
    inference(subst,[],[refute_0_7:[bind(A,$fot(X_1640)),bind(B,$fot(or(X_1640,X_1639)))]]) ).

cnf(refute_0_23,plain,
    axiom(or(not(X_1638),or(X_1637,X_1638))),
    inference(subst,[],[axiom_1_3:[bind(A,$fot(X_1638)),bind(B,$fot(X_1637))]]) ).

cnf(refute_0_24,plain,
    ( ~ axiom(or(not(or(X_7,X_8)),or(X_8,X_7)))
    | theorem(or(not(or(X_7,X_8)),or(X_8,X_7))) ),
    inference(subst,[],[rule_1:[bind(X,$fot(or(not(or(X_7,X_8)),or(X_8,X_7))))]]) ).

cnf(refute_0_25,plain,
    axiom(or(not(or(X_7,X_8)),or(X_8,X_7))),
    inference(subst,[],[axiom_1_4:[bind(A,$fot(X_7)),bind(B,$fot(X_8))]]) ).

cnf(refute_0_26,plain,
    theorem(or(not(or(X_7,X_8)),or(X_8,X_7))),
    inference(resolve,[$cnf( axiom(or(not(or(X_7,X_8)),or(X_8,X_7))) )],[refute_0_25,refute_0_24]) ).

cnf(refute_0_27,plain,
    ( ~ axiom(or(not(X_460),or(X_7,X_8)))
    | ~ theorem(or(not(or(X_7,X_8)),or(X_8,X_7)))
    | theorem(or(not(X_460),or(X_8,X_7))) ),
    inference(subst,[],[rule_3:[bind(X,$fot(X_460)),bind(Y,$fot(or(X_7,X_8))),bind(Z,$fot(or(X_8,X_7)))]]) ).

cnf(refute_0_28,plain,
    ( ~ axiom(or(not(X_460),or(X_7,X_8)))
    | theorem(or(not(X_460),or(X_8,X_7))) ),
    inference(resolve,[$cnf( theorem(or(not(or(X_7,X_8)),or(X_8,X_7))) )],[refute_0_26,refute_0_27]) ).

cnf(refute_0_29,plain,
    ( ~ axiom(or(not(X_1638),or(X_1637,X_1638)))
    | theorem(or(not(X_1638),or(X_1638,X_1637))) ),
    inference(subst,[],[refute_0_28:[bind(X_460,$fot(X_1638)),bind(X_7,$fot(X_1637)),bind(X_8,$fot(X_1638))]]) ).

cnf(refute_0_30,plain,
    theorem(or(not(X_1638),or(X_1638,X_1637))),
    inference(resolve,[$cnf( axiom(or(not(X_1638),or(X_1637,X_1638))) )],[refute_0_23,refute_0_29]) ).

cnf(refute_0_31,plain,
    theorem(or(not(X_1640),or(X_1640,X_1639))),
    inference(subst,[],[refute_0_30:[bind(X_1637,$fot(X_1639)),bind(X_1638,$fot(X_1640))]]) ).

cnf(refute_0_32,plain,
    theorem(or(not(or(C,X_1640)),or(C,or(X_1640,X_1639)))),
    inference(resolve,[$cnf( theorem(or(not(X_1640),or(X_1640,X_1639))) )],[refute_0_31,refute_0_22]) ).

cnf(refute_0_33,plain,
    theorem(or(not(or(X_1680,X_1682)),or(X_1680,or(X_1682,X_1681)))),
    inference(subst,[],[refute_0_32:[bind(C,$fot(X_1680)),bind(X_1639,$fot(X_1681)),bind(X_1640,$fot(X_1682))]]) ).

cnf(refute_0_34,plain,
    theorem(or(X_1680,or(not(or(X_1680,X_1682)),or(X_1682,X_1681)))),
    inference(resolve,[$cnf( theorem(or(not(or(X_1680,X_1682)),or(X_1680,or(X_1682,X_1681)))) )],[refute_0_33,refute_0_21]) ).

cnf(refute_0_35,plain,
    theorem(or(X_1746,or(not(or(X_1746,X_1748)),or(X_1748,X_1747)))),
    inference(subst,[],[refute_0_34:[bind(X_1680,$fot(X_1746)),bind(X_1681,$fot(X_1747)),bind(X_1682,$fot(X_1748))]]) ).

cnf(refute_0_36,plain,
    theorem(or(or(not(or(X_1746,X_1748)),or(X_1748,X_1747)),X_1746)),
    inference(resolve,[$cnf( theorem(or(X_1746,or(not(or(X_1746,X_1748)),or(X_1748,X_1747)))) )],[refute_0_35,refute_0_20]) ).

cnf(refute_0_37,plain,
    theorem(or(or(not(or(X_2403,X_2405)),or(X_2405,X_2404)),X_2403)),
    inference(subst,[],[refute_0_36:[bind(X_1746,$fot(X_2403)),bind(X_1747,$fot(X_2404)),bind(X_1748,$fot(X_2405))]]) ).

cnf(refute_0_38,plain,
    theorem(or(B,or(or(not(or(X_2403,X_2405)),or(X_2405,X_2404)),X_2403))),
    inference(resolve,[$cnf( theorem(or(or(not(or(X_2403,X_2405)),or(X_2405,X_2404)),X_2403)) )],[refute_0_37,refute_0_17]) ).

cnf(refute_0_39,plain,
    theorem(or(X_2406,or(or(not(or(X_2407,X_2409)),or(X_2409,X_2408)),X_2407))),
    inference(subst,[],[refute_0_38:[bind(B,$fot(X_2406)),bind(X_2403,$fot(X_2407)),bind(X_2404,$fot(X_2408)),bind(X_2405,$fot(X_2409))]]) ).

cnf(refute_0_40,plain,
    theorem(or(or(not(or(X_2407,X_2409)),or(X_2409,X_2408)),or(X_2406,X_2407))),
    inference(resolve,[$cnf( theorem(or(X_2406,or(or(not(or(X_2407,X_2409)),or(X_2409,X_2408)),X_2407))) )],[refute_0_39,refute_0_13]) ).

cnf(refute_0_41,plain,
    theorem(or(or(not(or(or(X_2417,X_2416),X_2417)),or(X_2417,X_2416)),or(not(or(or(X_2417,X_2416),X_2417)),or(X_2417,X_2416)))),
    inference(subst,[],[refute_0_40:[bind(X_2406,$fot(not(or(or(X_2417,X_2416),X_2417)))),bind(X_2407,$fot(or(X_2417,X_2416))),bind(X_2408,$fot(X_2416)),bind(X_2409,$fot(X_2417))]]) ).

cnf(refute_0_42,plain,
    theorem(or(not(or(or(X_2417,X_2416),X_2417)),or(X_2417,X_2416))),
    inference(resolve,[$cnf( theorem(or(or(not(or(or(X_2417,X_2416),X_2417)),or(X_2417,X_2416)),or(not(or(or(X_2417,X_2416),X_2417)),or(X_2417,X_2416)))) )],[refute_0_41,refute_0_12]) ).

cnf(refute_0_43,plain,
    theorem(or(not(or(or(X_5978,X_2416),X_5978)),or(X_5978,X_2416))),
    inference(subst,[],[refute_0_42:[bind(X_2417,$fot(X_5978))]]) ).

cnf(refute_0_44,plain,
    ( ~ axiom(or(not(or(A,B)),or(B,A)))
    | ~ theorem(or(not(or(B,A)),X_462))
    | theorem(or(not(or(A,B)),X_462)) ),
    inference(subst,[],[rule_3:[bind(X,$fot(or(A,B))),bind(Y,$fot(or(B,A))),bind(Z,$fot(X_462))]]) ).

cnf(refute_0_45,plain,
    ( ~ theorem(or(not(or(B,A)),X_462))
    | theorem(or(not(or(A,B)),X_462)) ),
    inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_44]) ).

cnf(refute_0_46,plain,
    ( ~ theorem(or(not(or(or(X_5978,X_2416),X_5978)),or(X_5978,X_2416)))
    | theorem(or(not(or(X_5978,or(X_5978,X_2416))),or(X_5978,X_2416))) ),
    inference(subst,[],[refute_0_45:[bind(A,$fot(X_5978)),bind(B,$fot(or(X_5978,X_2416))),bind(X_462,$fot(or(X_5978,X_2416)))]]) ).

cnf(refute_0_47,plain,
    theorem(or(not(or(X_5978,or(X_5978,X_2416))),or(X_5978,X_2416))),
    inference(resolve,[$cnf( theorem(or(not(or(or(X_5978,X_2416),X_5978)),or(X_5978,X_2416))) )],[refute_0_43,refute_0_46]) ).

cnf(refute_0_48,plain,
    theorem(or(not(or(X_6035,or(X_6035,X_6034))),or(X_6035,X_6034))),
    inference(subst,[],[refute_0_47:[bind(X_2416,$fot(X_6034)),bind(X_5978,$fot(X_6035))]]) ).

cnf(refute_0_49,plain,
    theorem(or(not(or(C,or(X_6035,or(X_6035,X_6034)))),or(C,or(X_6035,X_6034)))),
    inference(resolve,[$cnf( theorem(or(not(or(X_6035,or(X_6035,X_6034))),or(X_6035,X_6034))) )],[refute_0_48,refute_0_8]) ).

cnf(refute_0_50,plain,
    theorem(or(not(or(not(or(X_188388,X_188386)),or(X_188388,or(X_188388,X_6034)))),or(not(or(X_188388,X_188386)),or(X_188388,X_6034)))),
    inference(subst,[],[refute_0_49:[bind(C,$fot(not(or(X_188388,X_188386)))),bind(X_6035,$fot(X_188388))]]) ).

cnf(refute_0_51,plain,
    ( ~ axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B))))
    | ~ theorem(or(not(or(not(or(C,A)),or(C,B))),X_462))
    | theorem(or(not(or(not(A),B)),X_462)) ),
    inference(subst,[],[rule_3:[bind(X,$fot(or(not(A),B))),bind(Y,$fot(or(not(or(C,A)),or(C,B)))),bind(Z,$fot(X_462))]]) ).

cnf(refute_0_52,plain,
    ( ~ theorem(or(not(or(not(or(C,A)),or(C,B))),X_462))
    | theorem(or(not(or(not(A),B)),X_462)) ),
    inference(resolve,[$cnf( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )],[axiom_1_6,refute_0_51]) ).

cnf(refute_0_53,plain,
    ( ~ theorem(or(not(or(not(or(X_188388,X_188386)),or(X_188388,or(X_188388,X_6034)))),or(not(or(X_188388,X_188386)),or(X_188388,X_6034))))
    | theorem(or(not(or(not(X_188386),or(X_188388,X_6034))),or(not(or(X_188388,X_188386)),or(X_188388,X_6034)))) ),
    inference(subst,[],[refute_0_52:[bind(A,$fot(X_188386)),bind(B,$fot(or(X_188388,X_6034))),bind(C,$fot(X_188388)),bind(X_462,$fot(or(not(or(X_188388,X_188386)),or(X_188388,X_6034))))]]) ).

cnf(refute_0_54,plain,
    theorem(or(not(or(not(X_188386),or(X_188388,X_6034))),or(not(or(X_188388,X_188386)),or(X_188388,X_6034)))),
    inference(resolve,[$cnf( theorem(or(not(or(not(or(X_188388,X_188386)),or(X_188388,or(X_188388,X_6034)))),or(not(or(X_188388,X_188386)),or(X_188388,X_6034)))) )],[refute_0_50,refute_0_53]) ).

cnf(refute_0_55,plain,
    theorem(or(not(or(not(X_188650),or(X_188651,X_188652))),or(not(or(X_188651,X_188650)),or(X_188651,X_188652)))),
    inference(subst,[],[refute_0_54:[bind(X_188386,$fot(X_188650)),bind(X_188388,$fot(X_188651)),bind(X_6034,$fot(X_188652))]]) ).

cnf(refute_0_56,plain,
    theorem(or(not(or(X_188651,or(not(X_188650),X_188652))),or(not(or(X_188651,X_188650)),or(X_188651,X_188652)))),
    inference(resolve,[$cnf( theorem(or(not(or(not(X_188650),or(X_188651,X_188652))),or(not(or(X_188651,X_188650)),or(X_188651,X_188652)))) )],[refute_0_55,refute_0_5]) ).

cnf(refute_0_57,plain,
    theorem(or(not(or(X_193822,or(not(X_193821),X_193823))),or(not(or(X_193822,X_193821)),or(X_193822,X_193823)))),
    inference(subst,[],[refute_0_56:[bind(X_188650,$fot(X_193821)),bind(X_188651,$fot(X_193822)),bind(X_188652,$fot(X_193823))]]) ).

cnf(refute_0_58,plain,
    theorem(or(not(or(X_193822,X_193821)),or(not(or(X_193822,or(not(X_193821),X_193823))),or(X_193822,X_193823)))),
    inference(resolve,[$cnf( theorem(or(not(or(X_193822,or(not(X_193821),X_193823))),or(not(or(X_193822,X_193821)),or(X_193822,X_193823)))) )],[refute_0_57,refute_0_2]) ).

cnf(refute_0_59,plain,
    theorem(or(not(or(p,q)),or(not(or(p,or(not(q),r))),or(p,r)))),
    inference(subst,[],[refute_0_58:[bind(X_193821,$fot(q)),bind(X_193822,$fot(p)),bind(X_193823,$fot(r))]]) ).

cnf(refute_0_60,plain,
    $false,
    inference(resolve,[$cnf( theorem(or(not(or(p,q)),or(not(or(p,or(not(q),r))),or(p,r)))) )],[refute_0_59,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL223-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n014.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 Jul  3 10:51:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 137.05/137.26  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 137.05/137.26  
% 137.05/137.26  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 137.05/137.27  
%------------------------------------------------------------------------------