CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : LCL190-1 : TPTP v9.2.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n027.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 : Tue May  5 04:39:39 PM UTC 2026

% Result   : Unsatisfiable 1.06s 1.62s
% Output   : CNFRefutation 2.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     : 2065 (1376 unt;   0 nHn;1359 RR)
%            Number of literals    : 3436 (   0 equ;2039 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   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   : 3803 ( 349 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ theorem(or(not(or(p,or(q,r))),or(p,or(r,q)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(axiom_1_6,axiom,
    axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_6) ).

cnf(axiom_1_5,axiom,
    axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).

cnf(axiom_1_4,axiom,
    axiom(or(not(or(X1,X2)),or(X2,X1))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_4) ).

cnf(rule_3,axiom,
    ( theorem(or(not(X1),X2))
    | ~ axiom(or(not(X1),X3))
    | ~ theorem(or(not(X3),X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_3) ).

cnf(axiom_1_2,axiom,
    axiom(or(not(or(X1,X1)),X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_2) ).

cnf(axiom_1_3,axiom,
    axiom(or(not(X1),or(X2,X1))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).

cnf(rule_2,axiom,
    ( theorem(X1)
    | ~ axiom(or(not(X2),X1))
    | ~ theorem(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_2) ).

cnf(rule_1,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_1) ).

cnf(i_0_9,negated_conjecture,
    ~ theorem(or(not(or(p,or(q,r))),or(p,or(r,q)))),
    prove_this,
    [final] ).

cnf(i_0_10,axiom,
    axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
    axiom_1_6,
    [final] ).

cnf(i_0_11,axiom,
    axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    axiom_1_5,
    [final] ).

cnf(i_0_12,axiom,
    axiom(or(not(or(X1,X2)),or(X2,X1))),
    axiom_1_4,
    [final] ).

cnf(i_0_13,axiom,
    ( theorem(or(not(X1),X2))
    | ~ axiom(or(not(X1),X3))
    | ~ theorem(or(not(X3),X2)) ),
    rule_3,
    [final] ).

cnf(i_0_14,axiom,
    axiom(or(not(or(X1,X1)),X1)),
    axiom_1_2,
    [final] ).

cnf(i_0_15,axiom,
    axiom(or(not(X1),or(X2,X1))),
    axiom_1_3,
    [final] ).

cnf(i_0_16,axiom,
    ( theorem(X1)
    | ~ axiom(or(not(X2),X1))
    | ~ theorem(X2) ),
    rule_2,
    [final] ).

cnf(i_0_17,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    rule_1,
    [final] ).

cnf(i_0_18,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(scs_inference,[],[i_0_12,i_0_17]) ).

cnf(i_0_19,plain,
    ( ~ axiom(X1)
    | theorem(X1) ),
    inference(rename_variables,[],[i_0_17]) ).

cnf(i_0_20,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_12,i_0_17,i_0_13]) ).

cnf(i_0_21,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_22,plain,
    theorem(or(p,or(not(or(or(r,q),p)),or(r,q)))),
    inference(scs_inference,[],[i_0_9,i_0_12,i_0_11,i_0_17,i_0_13,i_0_16]) ).

cnf(i_0_23,plain,
    axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_11]) ).

cnf(i_0_24,plain,
    ( ~ axiom(or(not(X1),X2))
    | ~ theorem(X1)
    | theorem(X2) ),
    inference(rename_variables,[],[i_0_16]) ).

cnf(i_0_25,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(scs_inference,[],[i_0_15,i_0_17]) ).

cnf(i_0_26,plain,
    ( ~ axiom(X1)
    | theorem(X1) ),
    inference(rename_variables,[],[i_0_17]) ).

cnf(i_0_27,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_15,i_0_17,i_0_13]) ).

cnf(i_0_28,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_29,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_30,plain,
    theorem(or(X1,or(not(or(X2,X3)),or(X3,X2)))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_28,i_0_15,i_0_17,i_0_13,i_0_16]) ).

cnf(i_0_31,plain,
    axiom(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_15]) ).

cnf(i_0_32,plain,
    ( ~ axiom(or(not(X1),X2))
    | ~ theorem(X1)
    | theorem(X2) ),
    inference(rename_variables,[],[i_0_16]) ).

cnf(i_0_33,plain,
    theorem(or(not(or(X1,X1)),X1)),
    inference(scs_inference,[],[i_0_14,i_0_17]) ).

cnf(i_0_34,plain,
    ( ~ axiom(X1)
    | theorem(X1) ),
    inference(rename_variables,[],[i_0_17]) ).

cnf(i_0_35,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_14,i_0_17,i_0_13]) ).

cnf(i_0_36,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_37,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_38,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_36,i_0_14,i_0_10,i_0_17,i_0_13,i_0_16]) ).

cnf(i_0_39,plain,
    axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
    inference(rename_variables,[],[i_0_10]) ).

cnf(i_0_40,plain,
    ( ~ axiom(or(not(X1),X2))
    | ~ theorem(X1)
    | theorem(X2) ),
    inference(rename_variables,[],[i_0_16]) ).

cnf(i_0_41,plain,
    theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
    inference(scs_inference,[],[i_0_10,i_0_17]) ).

cnf(i_0_42,plain,
    ( ~ axiom(X1)
    | theorem(X1) ),
    inference(rename_variables,[],[i_0_17]) ).

cnf(i_0_43,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_10,i_0_17,i_0_13]) ).

cnf(i_0_44,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_45,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_46,plain,
    theorem(or(X1,not(or(X1,X1)))),
    inference(scs_inference,[],[i_0_9,i_0_33,i_0_38,i_0_12,i_0_10,i_0_17,i_0_13,i_0_16]) ).

cnf(i_0_47,plain,
    axiom(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_12]) ).

cnf(i_0_48,plain,
    ( ~ axiom(or(not(X1),X2))
    | ~ theorem(X1)
    | theorem(X2) ),
    inference(rename_variables,[],[i_0_16]) ).

cnf(i_0_49,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(scs_inference,[],[i_0_11,i_0_17]) ).

cnf(i_0_50,plain,
    ( ~ axiom(X1)
    | theorem(X1) ),
    inference(rename_variables,[],[i_0_17]) ).

cnf(i_0_51,plain,
    theorem(or(X1,or(X2,not(or(X2,X2))))),
    inference(scs_inference,[],[i_0_46,i_0_11,i_0_15,i_0_17,i_0_16]) ).

cnf(i_0_52,plain,
    axiom(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_15]) ).

cnf(i_0_53,plain,
    ( ~ axiom(or(not(X1),X2))
    | ~ theorem(X1)
    | theorem(X2) ),
    inference(rename_variables,[],[i_0_16]) ).

cnf(i_0_54,plain,
    theorem(or(not(or(X1,X1)),not(or(not(X1),not(X1))))),
    inference(scs_inference,[],[i_0_46,i_0_14,i_0_11,i_0_15,i_0_17,i_0_16,i_0_13]) ).

cnf(i_0_55,plain,
    theorem(or(X1,not(or(X1,X1)))),
    inference(rename_variables,[],[i_0_46]) ).

cnf(i_0_56,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_57,plain,
    theorem(or(not(or(X1,not(X2))),or(not(or(X3,X2)),or(X3,X1)))),
    inference(scs_inference,[],[i_0_41,i_0_12,i_0_13]) ).

cnf(i_0_58,plain,
    theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_59,plain,
    axiom(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_12]) ).

cnf(i_0_60,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_61,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_62,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_63,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_64,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_65,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_66,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_67,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_68,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_69,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_70,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_71,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_72,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_73,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_74,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_75,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_76,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_77,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_78,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_79,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_80,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_81,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_82,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_83,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_84,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_85,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_86,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_87,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_88,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_89,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_90,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_91,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_92,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_93,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_94,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_95,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_96,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_97,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_98,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_99,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_100,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_101,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_102,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_103,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_104,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_105,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_106,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_107,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_108,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_109,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_110,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_111,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_112,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_113,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_114,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_115,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_116,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_117,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_118,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_119,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_120,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_121,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_122,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_123,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_124,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_125,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_126,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_127,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_128,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_129,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_130,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_131,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_132,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_133,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_134,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_135,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_136,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_137,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_138,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_139,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_140,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_141,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_142,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_143,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_144,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_145,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_146,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_147,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_148,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_149,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_150,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_151,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_152,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_153,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_154,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_155,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_156,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_157,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_158,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_159,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_160,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_161,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_162,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_163,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_164,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_165,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_166,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_167,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_168,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_169,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_170,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_171,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_172,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_173,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_174,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_175,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_176,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_177,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_178,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_179,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_180,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_181,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_182,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_183,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_184,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_185,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_186,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_187,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_188,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_189,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_190,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_191,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_192,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_193,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_194,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_195,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_196,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_197,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_198,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_199,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_200,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_201,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_202,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_203,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_204,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_205,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_206,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_207,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_208,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_209,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_210,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_211,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_212,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_213,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_214,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_215,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_216,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_217,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_218,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_219,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_220,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_221,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_222,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_223,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_224,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_225,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_226,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_227,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_228,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_229,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_230,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_231,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_232,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_233,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_234,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_235,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_236,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_237,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_238,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_239,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_240,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_241,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_242,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_243,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_244,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_245,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_246,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_247,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_248,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_249,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_250,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_251,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_252,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_253,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_254,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_255,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_256,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_257,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_258,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_259,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_260,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_261,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_262,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_263,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_264,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_265,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_266,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_267,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_268,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_269,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_270,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_271,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_272,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_273,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_274,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_275,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_276,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_277,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_278,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_279,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_280,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_281,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_282,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_283,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_284,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_285,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_286,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_287,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_288,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_289,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_290,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_291,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_292,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_293,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_294,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_295,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_296,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_297,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_298,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_299,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_300,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_301,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_302,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_303,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_304,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_305,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_306,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_307,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_308,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_309,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_310,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_311,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_312,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_313,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_314,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_315,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_316,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_317,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_318,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_319,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_320,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_321,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_322,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_323,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_324,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_325,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_326,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_327,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_328,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_329,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_330,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_331,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_332,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_333,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_334,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_335,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_336,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_337,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_338,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_339,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_340,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_341,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_342,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_343,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_344,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_345,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_346,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_347,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_348,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_349,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_350,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_351,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_352,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_353,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_354,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_355,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_356,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_357,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_358,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_359,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_360,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_361,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_362,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_363,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_364,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_365,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_366,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_367,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_368,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_369,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_370,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_371,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_372,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_373,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_374,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_375,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_376,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_377,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_378,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_379,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_380,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_381,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_382,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_383,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_384,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_385,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_386,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_387,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_388,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_389,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_390,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_391,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_392,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_393,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_394,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_395,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_396,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_397,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_398,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_399,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_400,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_401,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_402,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_403,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_404,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_405,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_406,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_407,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_408,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_409,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_410,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_411,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_412,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_413,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_414,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_415,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_416,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_417,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_418,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_419,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_420,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_421,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_422,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_423,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_424,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_425,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_426,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_427,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_428,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_429,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_430,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_431,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_432,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_433,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_434,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_435,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_436,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_437,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_438,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_439,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_440,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_441,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_442,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_443,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_444,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_445,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_446,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_447,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_448,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_449,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_450,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_451,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_452,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_453,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_454,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_455,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_456,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_457,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_458,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_459,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_460,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_461,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_462,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_463,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_464,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_465,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_466,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_467,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_468,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_469,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_470,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_471,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_472,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_473,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_474,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_475,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_476,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_477,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_478,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_479,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_480,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_481,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_482,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_483,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_484,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_485,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_486,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_487,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_488,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_489,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_490,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_491,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_492,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_493,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_494,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_495,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_496,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_497,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_498,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_499,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_500,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_501,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_502,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_503,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_504,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_505,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_506,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_507,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_508,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_509,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_510,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_511,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_512,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_513,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_514,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_515,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_516,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_517,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_518,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_519,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_520,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_521,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_522,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_523,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_524,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_525,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_526,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_527,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_528,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_529,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_530,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_531,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_532,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_533,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_534,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_535,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_536,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_537,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_538,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_539,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_540,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_541,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_542,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_543,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_544,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_545,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_546,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_547,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_548,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_549,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_550,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_551,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_552,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_553,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_554,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_555,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_556,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_557,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_558,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_559,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_560,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_561,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_562,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_563,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_564,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_565,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_566,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_567,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_568,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_569,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_570,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_571,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_572,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_573,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_574,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_575,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_576,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_577,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_578,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_579,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_580,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_581,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_582,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_583,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_584,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_585,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_586,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_587,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_588,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_589,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_590,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_591,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_592,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_593,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_594,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_595,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_596,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_597,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_598,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_599,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_600,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_601,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_602,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_603,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_604,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_605,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_606,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_607,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_608,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_609,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_610,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_611,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_612,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_613,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_614,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_615,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_616,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_617,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_618,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_619,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_620,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_621,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_622,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_623,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_624,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_625,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_626,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_627,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_628,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_629,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_630,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_631,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_632,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_633,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_634,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_635,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_636,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_637,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_638,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_639,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_640,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_641,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_642,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_643,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_644,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_645,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_646,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_647,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_648,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_649,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_650,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_651,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_652,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_653,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_654,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_655,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_656,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_657,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_658,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_659,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_660,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_661,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_662,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_663,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_664,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_665,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_666,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_667,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_668,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_669,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_670,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_671,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_672,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_673,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_674,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_675,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_676,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_677,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_678,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_679,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_680,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_681,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_682,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_683,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_684,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_685,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_686,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_687,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_688,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_689,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_690,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_691,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_692,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_693,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_694,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_695,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_696,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_697,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_698,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_699,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_700,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_701,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_702,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_703,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_704,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_705,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_706,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_707,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_708,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_709,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_710,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_711,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_712,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_713,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_714,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_715,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_716,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_717,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_718,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_719,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_720,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_721,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_722,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_723,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_724,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_725,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_726,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_727,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_728,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_729,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_730,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_731,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_732,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_733,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_734,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_735,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_736,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_737,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_738,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_739,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_740,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_741,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_742,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_743,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_744,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_745,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_746,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_747,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_748,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_749,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_750,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_751,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_752,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_753,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_754,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_755,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_756,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_757,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_758,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_759,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_760,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_761,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_762,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_763,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_764,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_765,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_766,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_767,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_768,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_769,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_770,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_771,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_772,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_773,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_774,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_775,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_776,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_777,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_778,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_779,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_780,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_781,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_782,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_783,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_784,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_785,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_786,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_787,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_788,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_789,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_790,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_791,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_792,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_793,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_794,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_795,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_796,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_797,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_798,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_799,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_800,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_801,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_802,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_803,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_804,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_805,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_806,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_807,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_808,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_809,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_810,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_811,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_812,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_813,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_814,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_815,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_816,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_817,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_818,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_819,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_820,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_821,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_822,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_823,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_824,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_825,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_826,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_827,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_828,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_829,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_830,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_831,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_832,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_833,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_834,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_835,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_836,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_837,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_838,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_839,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_840,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_841,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_842,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_843,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_844,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_845,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_846,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_847,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_848,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_849,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_850,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_851,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_852,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_853,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_854,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_855,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_856,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_857,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_858,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_859,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_860,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_861,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_862,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_863,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_864,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_865,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_866,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_867,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_868,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_869,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_870,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_871,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_872,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_873,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_874,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_875,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_876,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_877,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_878,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_879,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_880,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_881,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_882,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_883,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_884,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_885,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_886,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_887,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_888,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_889,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_890,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_891,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_892,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_893,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_894,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_895,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_896,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_897,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_898,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_899,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_900,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_901,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_902,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_903,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_904,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_905,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_906,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_907,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_908,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_909,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_910,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_911,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_912,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_913,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_914,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_915,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_916,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_917,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_918,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_919,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_920,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_921,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_922,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_923,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_924,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_925,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_926,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_927,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_928,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_929,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_930,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_931,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_932,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_933,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_934,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_935,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_936,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_937,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_938,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_939,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_940,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_941,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_942,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_943,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_944,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_945,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_946,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_947,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_948,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_949,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_950,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_951,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_952,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_953,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_954,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_955,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_956,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_957,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_958,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_959,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_960,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_961,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_962,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_963,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_964,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_965,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_966,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_967,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_968,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_969,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_970,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_971,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_972,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_973,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_974,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_975,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_976,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_977,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_978,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_979,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_980,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_981,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_982,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_983,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_984,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_985,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_986,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_987,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_988,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_989,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_990,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_991,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_992,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_993,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_994,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_995,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_996,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_997,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_998,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_999,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1000,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1001,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1002,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1003,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1004,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1005,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1006,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1007,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1008,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1009,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1010,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1011,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1012,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1013,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1014,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1015,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1016,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1017,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1018,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1019,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1020,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1021,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1022,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1023,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1024,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1025,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1026,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1027,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1028,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1029,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1030,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1031,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1032,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1033,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1034,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1035,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1036,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1037,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1038,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1039,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1040,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1041,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1042,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1043,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1044,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1045,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1046,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1047,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1048,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1049,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1050,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1051,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1052,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1053,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1054,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1055,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1056,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1057,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1058,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1059,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1060,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1061,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1062,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1063,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1064,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1065,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1066,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1067,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1068,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1069,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1070,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1071,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1072,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1073,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1074,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1075,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1076,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1077,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1078,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1079,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1080,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1081,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1082,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1083,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1084,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1085,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1086,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1087,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1088,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1089,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1090,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1091,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1092,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1093,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1094,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1095,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1096,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1097,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1098,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1099,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1100,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1101,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1102,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1103,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1104,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1105,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1106,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1107,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1108,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1109,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1110,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1111,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1112,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1113,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1114,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1115,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1116,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1117,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1118,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1119,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1120,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1121,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1122,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1123,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1124,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1125,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1126,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1127,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1128,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1129,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1130,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1131,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1132,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1133,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1134,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1135,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1136,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1137,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1138,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1139,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1140,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1141,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1142,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1143,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1144,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1145,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1146,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1147,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1148,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1149,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1150,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1151,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1152,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1153,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1154,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1155,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1156,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1157,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1158,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1159,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1160,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1161,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1162,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1163,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1164,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1165,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1166,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1167,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1168,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1169,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1170,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1171,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1172,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1173,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1174,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1175,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1176,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1177,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1178,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1179,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1180,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1181,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1182,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1183,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1184,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1185,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1186,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1187,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1188,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1189,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1190,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1191,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1192,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1193,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1194,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1195,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1196,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1197,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1198,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1199,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1200,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1201,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1202,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1203,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1204,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1205,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1206,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1207,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1208,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1209,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1210,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1211,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1212,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1213,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1214,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1215,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1216,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1217,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1218,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1219,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1220,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1221,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1222,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1223,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1224,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1225,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1226,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1227,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1228,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1229,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1230,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1231,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1232,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1233,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1234,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1235,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1236,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1237,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1238,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1239,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1240,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1241,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1242,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1243,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1244,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1245,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1246,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1247,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1248,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1249,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1250,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1251,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1252,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1253,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1254,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1255,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1256,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1257,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1258,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1259,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1260,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1261,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1262,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1263,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1264,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1265,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1266,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1267,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1268,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1269,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1270,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1271,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1272,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1273,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1274,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1275,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1276,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1277,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1278,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1279,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1280,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1281,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1282,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1283,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1284,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1285,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1286,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1287,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1288,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1289,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1290,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1291,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1292,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1293,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1294,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1295,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1296,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1297,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1298,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1299,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1300,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1301,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1302,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1303,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1304,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1305,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1306,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1307,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1308,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1309,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1310,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1311,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1312,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1313,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1314,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1315,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1316,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1317,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1318,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1319,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1320,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1321,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1322,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1323,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1324,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1325,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1326,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1327,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1328,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1329,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1330,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1331,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1332,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1333,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1334,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1335,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1336,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1337,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1338,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1339,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1340,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1341,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1342,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1343,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1344,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1345,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1346,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1347,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1348,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1349,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1350,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1351,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1352,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1353,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1354,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1355,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1356,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1357,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1358,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1359,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1360,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1361,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1362,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1363,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1364,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1365,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1366,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1367,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1368,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1369,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1370,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1371,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1372,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1373,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1374,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1375,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1376,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1377,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1378,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1379,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1380,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1381,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1382,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1383,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1384,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1385,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1386,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1387,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1388,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1389,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1390,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1391,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1392,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1393,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1394,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1395,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1396,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1397,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1398,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1399,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1400,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1401,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1402,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1403,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1404,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1405,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1406,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1407,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1408,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1409,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1410,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1411,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1412,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1413,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1414,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1415,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1416,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1417,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1418,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1419,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1420,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1421,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1422,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1423,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1424,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1425,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1426,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1427,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1428,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1429,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1430,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1431,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1432,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1433,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1434,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1435,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1436,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1437,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1438,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1439,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1440,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1441,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1442,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1443,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1444,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1445,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1446,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1447,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1448,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1449,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1450,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1451,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1452,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1453,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1454,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1455,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1456,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1457,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1458,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1459,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1460,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1461,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1462,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1463,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1464,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1465,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1466,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1467,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1468,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1469,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1470,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1471,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1472,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1473,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1474,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1475,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1476,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1477,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1478,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1479,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1480,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1481,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1482,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1483,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1484,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1485,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1486,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1487,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1488,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1489,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1490,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1491,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1492,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1493,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1494,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1495,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1496,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1497,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1498,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1499,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1500,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1501,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1502,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1503,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1504,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1505,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1506,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1507,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1508,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1509,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1510,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1511,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1512,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1513,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1514,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1515,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1516,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1517,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1518,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1519,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1520,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1521,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1522,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1523,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1524,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1525,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1526,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1527,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1528,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1529,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1530,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1531,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1532,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1533,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1534,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1535,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1536,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1537,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1538,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1539,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1540,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1541,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1542,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1543,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1544,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1545,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1546,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1547,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1548,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1549,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1550,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1551,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1552,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1553,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1554,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1555,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1556,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1557,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1558,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1559,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1560,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1561,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1562,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1563,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1564,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1565,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1566,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1567,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1568,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1569,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1570,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1571,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1572,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1573,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1574,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1575,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1576,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1577,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1578,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1579,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1580,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1581,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1582,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1583,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1584,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1585,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1586,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1587,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1588,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1589,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1590,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1591,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1592,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1593,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1594,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1595,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1596,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1597,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1598,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1599,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1600,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1601,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1602,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1603,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1604,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1605,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1606,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1607,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1608,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1609,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1610,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1611,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1612,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1613,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1614,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1615,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1616,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1617,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1618,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1619,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1620,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1621,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1622,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1623,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1624,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1625,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1626,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1627,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1628,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1629,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1630,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1631,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1632,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1633,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1634,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1635,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1636,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1637,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1638,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1639,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1640,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1641,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1642,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1643,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1644,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1645,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1646,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1647,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1648,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1649,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1650,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1651,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1652,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1653,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1654,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1655,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1656,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1657,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1658,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1659,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1660,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1661,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1662,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1663,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1664,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1665,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1666,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1667,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1668,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1669,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1670,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1671,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1672,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1673,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1674,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1675,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1676,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1677,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1678,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1679,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1680,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1681,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1682,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1683,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1684,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1685,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1686,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1687,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1688,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1689,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1690,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1691,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1692,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1693,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1694,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1695,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1696,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1697,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1698,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1699,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1700,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1701,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1702,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1703,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1704,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1705,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1706,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1707,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1708,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1709,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1710,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1711,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1712,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1713,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1714,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1715,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1716,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1717,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1718,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1719,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1720,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1721,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1722,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1723,plain,
    theorem(or(not(not(X1)),or(not(or(X2,X1)),or(X2,X3)))),
    inference(scs_inference,[],[i_0_15,i_0_57,i_0_13]) ).

cnf(i_0_1724,plain,
    theorem(or(not(or(X1,not(X2))),or(not(or(X3,X2)),or(X3,X1)))),
    inference(rename_variables,[],[i_0_57]) ).

cnf(i_0_1725,plain,
    axiom(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_15]) ).

cnf(i_0_1726,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1727,plain,
    theorem(or(or(not(or(X1,X2)),or(X1,X3)),not(not(X2)))),
    inference(scs_inference,[],[i_0_1723,i_0_12,i_0_16]) ).

cnf(i_0_1728,plain,
    axiom(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_12]) ).

cnf(i_0_1729,plain,
    ( ~ axiom(or(not(X1),X2))
    | ~ theorem(X1)
    | theorem(X2) ),
    inference(rename_variables,[],[i_0_16]) ).

cnf(i_0_1730,plain,
    theorem(or(not(or(not(X1),not(X1))),or(not(or(X2,X1)),or(X2,X3)))),
    inference(scs_inference,[],[i_0_1723,i_0_14,i_0_12,i_0_16,i_0_13]) ).

cnf(i_0_1731,plain,
    axiom(or(not(or(X1,X1)),X1)),
    inference(rename_variables,[],[i_0_14]) ).

cnf(i_0_1732,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1733,plain,
    theorem(or(not(X1),or(not(or(X2,X3)),or(X2,X1)))),
    inference(scs_inference,[],[i_0_15,i_0_41,i_0_13]) ).

cnf(i_0_1734,plain,
    theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_1735,plain,
    axiom(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_15]) ).

cnf(i_0_1736,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1737,plain,
    theorem(or(not(X1),or(not(or(X2,X3)),or(X2,or(X4,X1))))),
    inference(scs_inference,[],[i_0_15,i_0_1733,i_0_13]) ).

cnf(i_0_1738,plain,
    theorem(or(not(X1),or(not(or(X2,X3)),or(X2,X1)))),
    inference(rename_variables,[],[i_0_1733]) ).

cnf(i_0_1739,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1740,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1741,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1742,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1743,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1744,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1745,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1746,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1747,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1748,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1749,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1750,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1751,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1752,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1753,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1754,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1755,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1756,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1757,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1758,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1759,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1760,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1761,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1762,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1763,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1764,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1765,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1766,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1767,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1768,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1769,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1770,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1771,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1772,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1773,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1774,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1775,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1776,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1777,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1778,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1779,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1780,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1781,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1782,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1783,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1784,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1785,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1786,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1787,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1788,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1789,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1790,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1791,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1792,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1793,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1794,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1795,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1796,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1797,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1798,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1799,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1800,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1801,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1802,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1803,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1804,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1805,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1806,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1807,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1808,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1809,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1810,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1811,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1812,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1813,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1814,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1815,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1816,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1817,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1818,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1819,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1820,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1821,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1822,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1823,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1824,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1825,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1826,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1827,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1828,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1829,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1830,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1831,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1832,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1833,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1834,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1835,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1836,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1837,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1838,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1839,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1840,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1841,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1842,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1843,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1844,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1845,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1846,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1847,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1848,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1849,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1850,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1851,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1852,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1853,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1854,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1855,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1856,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1857,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1858,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1859,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1860,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1861,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1862,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1863,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1864,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1865,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1866,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1867,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1868,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1869,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1870,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1871,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1872,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1873,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1874,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1875,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1876,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1877,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1878,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1879,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1880,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1881,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1882,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1883,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1884,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1885,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1886,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1887,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1888,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1889,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1890,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1891,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1892,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1893,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1894,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1895,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1896,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1897,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1898,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1899,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1900,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1901,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1902,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1903,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1904,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1905,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1906,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1907,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1908,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1909,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1910,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1911,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1912,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1913,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1914,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1915,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1916,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1917,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1918,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1919,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1920,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1921,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1922,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1923,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1924,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1925,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1926,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1927,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1928,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1929,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1930,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1931,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1932,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1933,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1934,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1935,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1936,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1937,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1938,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1939,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1940,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1941,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1942,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1943,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1944,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1945,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1946,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1947,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1948,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1949,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1950,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1951,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1952,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1953,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1954,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1955,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1956,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1957,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1958,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1959,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1960,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1961,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1962,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1963,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1964,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1965,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1966,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1967,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1968,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1969,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1970,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1971,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1972,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1973,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1974,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1975,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1976,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1977,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1978,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1979,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1980,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1981,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1982,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1983,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1984,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1985,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1986,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1987,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_1988,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1989,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_1990,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1991,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1992,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_1993,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1994,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1995,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_1996,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_1997,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_1998,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_1999,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_2000,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2001,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_2002,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2003,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2004,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_2005,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2006,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2007,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_2008,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_2009,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2010,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_2011,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_2012,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2013,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_2014,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2015,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2016,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_2017,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2018,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2019,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_2020,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_2021,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2022,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_2023,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_2024,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2025,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_2026,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2027,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2028,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_2029,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2030,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2031,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_2032,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_2033,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2034,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_2035,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_2036,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2037,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_2038,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2039,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2040,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_2041,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2042,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2043,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_2044,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_2045,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2046,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_2047,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_2048,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2049,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_2050,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2051,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2052,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,q))),
    inference(scs_inference,[],[i_0_9,i_0_25,i_0_13]) ).

cnf(i_0_2053,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2054,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2055,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(r,or(p,q)))),
    inference(scs_inference,[],[i_0_9,i_0_49,i_0_13]) ).

cnf(i_0_2056,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_2057,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2058,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(p,q))),
    inference(scs_inference,[],[i_0_9,i_0_38,i_0_13]) ).

cnf(i_0_2059,plain,
    theorem(or(not(or(X1,X2)),or(X1,or(X3,X2)))),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_2060,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2061,plain,
    ~ axiom(or(not(or(p,or(q,r))),or(or(r,q),p))),
    inference(scs_inference,[],[i_0_9,i_0_18,i_0_13]) ).

cnf(i_0_2062,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2063,plain,
    ( ~ theorem(or(not(X1),X2))
    | theorem(or(not(X3),X2))
    | ~ axiom(or(not(X3),X1)) ),
    inference(rename_variables,[],[i_0_13]) ).

cnf(i_0_2064,plain,
    $false,
    inference(scs_inference,[],[i_0_18,i_0_9,i_0_10,i_0_16]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL190-1 : TPTP v9.2.1. Released v1.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n027.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Mon May  4 22:08:34 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 1.06/1.62  % Version  : CSE_E---1.7
% 1.06/1.62  % Problem  : theBenchmark.p
% 1.06/1.62  % SZS status Unsatisfiable for theBenchmark.p
% 1.06/1.62  % SZS output start CNFRefutation
% See solution above
% 2.16/2.74  % Total time : 1.275s
%------------------------------------------------------------------------------