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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : PUZ021-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:32:43 PM UTC 2026

% Result   : Unsatisfiable 3.75s 16.12s
% Output   : CNFRefutation 3.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  107 (  16 unt;   3 def)
%            Number of atoms       :  372 (  25 equ)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :  214 (  85   ~; 129   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-2 aty)
%            Number of variables   :  158 (   0 sgn 158   !;   0   ?; 132   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ~ a_truth(knave(X0),X1)
      | ~ a_truth(knight(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_knight_and_knave) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( a_truth(knave(X0),X1)
      | a_truth(knight(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knight_or_knave) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ a_truth(poor(X0),X1)
      | ~ a_truth(rich(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_rich_and_poor) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( a_truth(X2,X1)
      | ~ says(X0,X2)
      | ~ a_truth(knight(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knights_tell_truth1) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( ~ a_truth(X2,X1)
      | says(X0,X2)
      | ~ a_truth(knight(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knights_tell_truth2) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ a_truth(X2,X1)
      | ~ says(X0,X2)
      | ~ a_truth(knave(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knaves_lie1) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( a_truth(X2,X1)
      | says(X0,X2)
      | ~ a_truth(knave(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knaves_lie2) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( a_truth(X0,X2)
      | ~ a_truth(and(X0,X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjunction1) ).

fof(f10,axiom,
    ! [X2,X0,X1] :
      ( a_truth(X1,X2)
      | ~ a_truth(and(X0,X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjunction2) ).

fof(f12,negated_conjecture,
    ! [X0] :
      ( ~ a_truth(and(knave(me),rich(me)),X0)
      | ~ says(me,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_statement_exists1) ).

fof(f13,negated_conjecture,
    ! [X0] :
      ( a_truth(and(knave(me),rich(me)),X0)
      | says(me,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_statement_exists2) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i] :
      ( ~ a_truth(knave(X0),X1)
      | ~ a_truth(knight(X0),X1) ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( a_truth(knave(X0),X1)
      | a_truth(knight(X0),X1) ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i] :
      ( ~ a_truth(poor(X0),X1)
      | ~ a_truth(rich(X0),X1) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( a_truth(X2,X1)
      | ~ says(X0,X2)
      | ~ a_truth(knight(X0),X1) ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( says(X0,X2)
      | ~ a_truth(X2,X1)
      | ~ a_truth(knight(X0),X1) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ says(X0,X2)
      | ~ a_truth(X2,X1)
      | ~ a_truth(knave(X0),X1) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( says(X0,X2)
      | a_truth(X2,X1)
      | ~ a_truth(knave(X0),X1) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( a_truth(X0,X2)
      | ~ a_truth(and(X0,X1),X2) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( a_truth(X1,X2)
      | ~ a_truth(and(X0,X1),X2) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_73,negated_conjecture,
    ! [X0: $i] :
      ( ~ says(me,X0)
      | ~ a_truth(and(knave(me),rich(me)),X0) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_74,negated_conjecture,
    ! [X0: $i] :
      ( says(me,X0)
      | a_truth(and(knave(me),rich(me)),X0) ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_89,plain,
    ! [X0: $i,X1: $i] :
      ( a_truth(knight(X0),X1)
      | a_truth(knave(X0),X1) ),
    inference(prop_impl_just,[status(thm)],[c_63]) ).

tcf(c_90,plain,
    ! [X0: $i,X1: $i] :
      ( a_truth(knave(X0),X1)
      | a_truth(knight(X0),X1) ),
    inference(renaming,[status(thm)],[c_89]) ).

tcf(c_134,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( a_truth(X1,X2)
      | a_truth(knave(X0),X2)
      | ~ says(X0,X1) ),
    inference(bin_hyper_res,[status(thm)],[c_66,c_90]) ).

tcf(c_135,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( says(X2,X0)
      | a_truth(knave(X2),X1)
      | ~ a_truth(X0,X1) ),
    inference(bin_hyper_res,[status(thm)],[c_67,c_90]) ).

tcf(c_325,definition,
    iPr_def_10 = knave(me),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_326,definition,
    iPr_def_11 = rich(me),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_327,definition,
    iPr_def_12 = and(iPr_def_10,iPr_def_11),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_328,negated_conjecture,
    ! [X0: $i] :
      ( says(me,X0)
      | a_truth(iPr_def_12,X0) ),
    inference(demodulation,[status(thm)],[c_74,c_326,c_325,c_327]) ).

tcf(c_329,negated_conjecture,
    ! [X0: $i] :
      ( ~ says(me,X0)
      | ~ a_truth(iPr_def_12,X0) ),
    inference(demodulation,[status(thm)],[c_73]) ).

tcf(c_330,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_332,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_333,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( a_truth(X0,X2)
      | ~ a_truth(X1,X2)
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_334,plain,
    ! [X0: $i,X1: $i] :
      ( ( knave(X0) = knave(X1) )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_338,plain,
    ( ( knave(me) = knave(me) )
    | ( me != me ) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_341,plain,
    me = me,
    inference(instantiation,[status(thm)],[c_330]) ).

tcf(c_715,plain,
    ! [X0: $i] :
      ( a_truth(iPr_def_10,X0)
      | ~ a_truth(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_327,c_70]) ).

tcf(c_725,plain,
    ! [X0: $i,X1: $i] :
      ( a_truth(iPr_def_12,X1)
      | a_truth(X1,X0)
      | a_truth(knave(me),X0) ),
    inference(superposition,[status(thm)],[c_328,c_134]) ).

tcf(c_726,plain,
    ! [X0: $i,X1: $i] :
      ( a_truth(iPr_def_12,X0)
      | a_truth(iPr_def_10,X1)
      | a_truth(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_725,c_325]) ).

tcf(c_735,plain,
    ! [X0: $i] :
      ( a_truth(iPr_def_11,X0)
      | ~ a_truth(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_327,c_71]) ).

tcf(c_748,plain,
    ! [X0: $i] :
      ( ~ a_truth(iPr_def_11,X0)
      | ~ a_truth(poor(me),X0) ),
    inference(superposition,[status(thm)],[c_326,c_64]) ).

tcf(c_758,plain,
    ! [X0: $i,X1: $i] :
      ( says(me,X1)
      | a_truth(X1,X0)
      | ~ a_truth(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_325,c_69]) ).

tcf(c_778,plain,
    ! [X0: $i,X1: $i] :
      ( a_truth(iPr_def_10,X1)
      | a_truth(iPr_def_10,X0)
      | a_truth(X0,X1) ),
    inference(superposition,[status(thm)],[c_726,c_715]) ).

tcf(c_782,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( a_truth(iPr_def_10,X2)
      | a_truth(X1,X2)
      | a_truth(iPr_def_12,and(X0,X1)) ),
    inference(superposition,[status(thm)],[c_726,c_71]) ).

tcf(c_783,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( a_truth(iPr_def_10,X2)
      | a_truth(X0,X2)
      | a_truth(iPr_def_12,and(X0,X1)) ),
    inference(superposition,[status(thm)],[c_726,c_70]) ).

tcf(c_785,plain,
    ! [X0: $i] :
      ( a_truth(iPr_def_12,iPr_def_12)
      | a_truth(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_726,c_715]) ).

tcf(c_789,plain,
    ! [X0: $i] :
      ( a_truth(iPr_def_12,iPr_def_10)
      | a_truth(iPr_def_10,X0) ),
    inference(equality_factoring,[status(thm)],[c_726]) ).

tcf(c_822,plain,
    ( a_truth(iPr_def_12,iPr_def_12)
    | a_truth(iPr_def_10,me) ),
    inference(instantiation,[status(thm)],[c_785]) ).

tcf(c_833,plain,
    ! [X0: $i] :
      ( a_truth(iPr_def_10,iPr_def_12)
      | a_truth(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_785,c_715]) ).

tcf(c_844,plain,
    ! [X0: $i] :
      ( a_truth(iPr_def_11,iPr_def_10)
      | a_truth(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_789,c_735]) ).

tcf(c_894,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ says(X0,knave(X2))
      | ~ a_truth(knave(X2),X1)
      | ~ a_truth(knave(X0),X1) ),
    inference(instantiation,[status(thm)],[c_68]) ).

tcf(c_895,plain,
    ( ~ says(me,knave(me))
    | ~ a_truth(knave(me),me) ),
    inference(instantiation,[status(thm)],[c_894]) ).

tcf(c_916,plain,
    a_truth(iPr_def_10,iPr_def_10),
    inference(equality_factoring,[status(thm)],[c_778]) ).

tcf(c_974,plain,
    ! [X0: $i,X1: $i] :
      ( a_truth(iPr_def_10,X1)
      | a_truth(iPr_def_12,and(X0,iPr_def_12)) ),
    inference(superposition,[status(thm)],[c_782,c_715]) ).

tcf(c_1447,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( a_truth(knave(X0),X2)
      | ~ a_truth(X1,X2)
      | ( knave(X0) != X1 ) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_1472,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( knave(X0) = X2 )
      | ( X2 != X1 )
      | ( knave(X0) != X1 ) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_1502,plain,
    ! [X0: $i] :
      ( a_truth(iPr_def_10,X0)
      | a_truth(iPr_def_12,poor(me))
      | ~ a_truth(iPr_def_11,X0) ),
    inference(superposition,[status(thm)],[c_726,c_748]) ).

tcf(c_1651,plain,
    ! [X0: $i] :
      ( says(X0,iPr_def_10)
      | a_truth(knave(X0),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_916,c_135]) ).

tcf(c_1652,plain,
    ! [X0: $i] :
      ( says(me,X0)
      | a_truth(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_916,c_758]) ).

tcf(c_1703,plain,
    a_truth(iPr_def_10,iPr_def_12),
    inference(equality_factoring,[status(thm)],[c_833]) ).

tcf(c_1706,plain,
    ! [X0: $i] :
      ( says(me,X0)
      | a_truth(X0,iPr_def_12) ),
    inference(superposition,[status(thm)],[c_1703,c_758]) ).

tcf(c_1723,plain,
    ! [X0: $i] :
      ( a_truth(iPr_def_12,iPr_def_11)
      | a_truth(iPr_def_10,X0)
      | a_truth(iPr_def_12,poor(me)) ),
    inference(superposition,[status(thm)],[c_726,c_1502]) ).

tcf(c_2124,plain,
    ! [X0: $i,X1: $i] :
      ( ( knave(X0) = X1 )
      | ( X1 != knave(X0) )
      | ( knave(X0) != knave(X0) ) ),
    inference(instantiation,[status(thm)],[c_1472]) ).

tcf(c_2186,plain,
    ( ~ says(me,iPr_def_12)
    | ~ a_truth(iPr_def_12,iPr_def_12) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_3243,plain,
    ( ( knave(me) = iPr_def_10 )
    | ( iPr_def_10 != knave(me) )
    | ( knave(me) != knave(me) ) ),
    inference(instantiation,[status(thm)],[c_2124]) ).

tcf(c_4132,plain,
    ! [X0: $i] :
      ( ~ says(me,and(X0,iPr_def_12))
      | ~ a_truth(iPr_def_12,and(X0,iPr_def_12)) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_4933,plain,
    ! [X0: $i] :
      ( a_truth(X0,iPr_def_10)
      | ~ a_truth(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_1652,c_329]) ).

tcf(c_4946,plain,
    ! [X0: $i] :
      ( a_truth(X0,iPr_def_12)
      | ~ a_truth(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_1706,c_329]) ).

tcf(c_4982,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( a_truth(iPr_def_10,X2)
      | a_truth(X0,X2)
      | a_truth(and(X0,X1),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_783,c_4933]) ).

tcf(c_4987,plain,
    ! [X0: $i] :
      ( a_truth(iPr_def_12,iPr_def_11)
      | a_truth(iPr_def_10,X0)
      | a_truth(poor(me),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_1723,c_4933]) ).

tcf(c_5149,plain,
    ! [X0: $i] :
      ( a_truth(iPr_def_12,iPr_def_11)
      | a_truth(iPr_def_10,X0)
      | a_truth(poor(me),iPr_def_12) ),
    inference(superposition,[status(thm)],[c_1723,c_4946]) ).

tcf(c_5348,plain,
    ! [X0: $i] :
      ( a_truth(iPr_def_12,iPr_def_11)
      | a_truth(iPr_def_10,X0)
      | ~ a_truth(iPr_def_11,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_4987,c_748]) ).

tcf(c_5382,plain,
    ! [X0: $i] :
      ( a_truth(iPr_def_12,iPr_def_11)
      | a_truth(iPr_def_10,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_5149,c_844,c_5348]) ).

tcf(c_5394,plain,
    ! [X0: $i] :
      ( a_truth(iPr_def_10,iPr_def_11)
      | a_truth(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_5382,c_715]) ).

tcf(c_6155,plain,
    a_truth(iPr_def_10,iPr_def_11),
    inference(equality_factoring,[status(thm)],[c_5394]) ).

tcf(c_6159,plain,
    ! [X0: $i] :
      ( says(me,X0)
      | a_truth(X0,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_6155,c_758]) ).

tcf(c_6173,plain,
    ! [X0: $i] :
      ( a_truth(X0,iPr_def_11)
      | ~ a_truth(iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_6159,c_329]) ).

tcf(c_6589,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( a_truth(iPr_def_10,X1)
      | a_truth(X2,iPr_def_10)
      | a_truth(X0,X1) ),
    inference(superposition,[status(thm)],[c_4982,c_71]) ).

tcf(c_6883,plain,
    ! [X0: $i,X1: $i] :
      ( a_truth(iPr_def_10,X1)
      | a_truth(X0,iPr_def_10) ),
    inference(equality_factoring,[status(thm)],[c_6589]) ).

tcf(c_7093,plain,
    ! [X0: $i,X1: $i] :
      ( a_truth(iPr_def_10,X1)
      | ~ a_truth(knave(X0),iPr_def_10) ),
    inference(superposition,[status(thm)],[c_6883,c_62]) ).

tcf(c_7161,plain,
    ! [X0: $i,X1: $i] :
      ( says(X0,iPr_def_10)
      | ~ a_truth(X1,iPr_def_10)
      | ~ says(X0,X1) ),
    inference(superposition,[status(thm)],[c_1651,c_68]) ).

tcf(c_7491,plain,
    ! [X0: $i] :
      ( a_truth(knave(me),X0)
      | ~ a_truth(iPr_def_10,X0)
      | ( knave(me) != iPr_def_10 ) ),
    inference(instantiation,[status(thm)],[c_1447]) ).

tcf(c_7494,plain,
    ( a_truth(knave(me),me)
    | ~ a_truth(iPr_def_10,me)
    | ( knave(me) != iPr_def_10 ) ),
    inference(instantiation,[status(thm)],[c_7491]) ).

tcf(c_7885,plain,
    ! [X0: $i] : a_truth(iPr_def_10,X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_7093,c_6883]) ).

tcf(c_7887,plain,
    ! [X0: $i,X1: $i] :
      ( says(me,X0)
      | a_truth(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_758,c_7885]) ).

tcf(c_7923,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( a_truth(X1,X2)
      | says(me,and(X0,X1)) ),
    inference(superposition,[status(thm)],[c_7887,c_71]) ).

tcf(c_7926,plain,
    ! [X0: $i] :
      ( says(me,iPr_def_12)
      | a_truth(X0,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_7887,c_6173]) ).

tcf(c_7997,plain,
    ( says(me,iPr_def_12)
    | a_truth(iPr_def_11,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_7926,c_735]) ).

tcf(c_7998,plain,
    ( says(me,iPr_def_12)
    | ~ a_truth(iPr_def_11,iPr_def_11) ),
    inference(superposition,[status(thm)],[c_7926,c_748]) ).

tcf(c_8007,plain,
    says(me,iPr_def_12),
    inference(backward_subsumption_resolution,[status(thm)],[c_7997,c_7998]) ).

tcf(c_8009,plain,
    ~ a_truth(iPr_def_12,iPr_def_12),
    inference(superposition,[status(thm)],[c_8007,c_329]) ).

tcf(c_8050,plain,
    ! [X0: $i] : says(me,and(X0,iPr_def_12)),
    inference(superposition,[status(thm)],[c_7923,c_8009]) ).

tcf(c_8732,plain,
    ! [X0: $i,X1: $i] :
      ( a_truth(iPr_def_12,X1)
      | a_truth(X1,X0)
      | a_truth(knave(me),X0) ),
    inference(superposition,[status(thm)],[c_328,c_134]) ).

tcf(c_8733,plain,
    ! [X0: $i,X1: $i] :
      ( a_truth(iPr_def_12,X0)
      | a_truth(iPr_def_10,X1)
      | a_truth(X0,X1) ),
    inference(light_normalisation,[status(thm)],[c_8732,c_325]) ).

tcf(c_8782,plain,
    ! [X1: $i] : a_truth(iPr_def_10,X1),
    inference(global_subsumption_just,[status(thm)],[c_8733,c_974,c_4132,c_8050]) ).

tcf(c_8783,plain,
    ! [X0: $i] : a_truth(iPr_def_10,X0),
    inference(renaming,[status(thm)],[c_8782]) ).

tcf(c_8811,plain,
    ! [X0: $i,X1: $i] :
      ( says(me,X1)
      | a_truth(X1,X0)
      | ~ a_truth(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_325,c_69]) ).

tcf(c_8812,plain,
    ! [X0: $i,X1: $i] :
      ( says(me,X0)
      | a_truth(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8811,c_8783]) ).

tcf(c_8870,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( says(me,knave(X2))
      | ~ says(X2,X0)
      | ~ a_truth(X0,X1) ),
    inference(superposition,[status(thm)],[c_8812,c_68]) ).

tcf(c_9930,plain,
    ! [X0: $i] :
      ( says(me,iPr_def_10)
      | a_truth(iPr_def_12,X0)
      | ~ a_truth(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_328,c_7161]) ).

tcf(c_9935,plain,
    ( says(me,iPr_def_10)
    | ~ a_truth(iPr_def_12,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_8007,c_7161]) ).

tcf(c_10101,plain,
    ( says(me,iPr_def_10)
    | a_truth(iPr_def_12,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_7885,c_9930]) ).

tcf(c_10348,plain,
    says(me,iPr_def_10),
    inference(global_subsumption_just,[status(thm)],[c_10101,c_9935,c_10101]) ).

tcf(c_10897,plain,
    ! [X0: $i] :
      ( says(me,knave(X0))
      | ~ says(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_8783,c_8870]) ).

tcf(c_10961,plain,
    ( says(me,knave(me))
    | ~ says(me,iPr_def_10) ),
    inference(instantiation,[status(thm)],[c_10897]) ).

tcf(c_10962,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_10961,c_10348,c_8007,c_7494,c_3243,c_2186,c_895,c_822,c_325,c_341,c_338]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ021-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34   % Computer : n011.cluster.edu
% 0.08/0.34   % Model    : x86_64 x86_64
% 0.08/0.34   % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34   % Memory   : 8046.5625MB
% 0.08/0.34   % OS       : Linux 6.8.0-71-generic
% 0.03/15.40  % CPULimit : 300
% 0.03/15.40  % WCLimit  : 300
% 0.03/15.40  % DateTime : Thu Sep 24 06:42:39 UTC 2026
% 0.03/15.40  % CPUTime  : 
% 0.03/15.40  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/15.44  Running first-order theorem proving
% 0.03/15.44  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/15.45  
% 0.03/15.45  % ======== iProver multi-core TPTP/SMT =========
% 0.03/15.45  
% 0.03/15.45  % Detected problem language: tptp
% 0.03/15.47  % Proving...
% 3.75/16.12  % SZS status Started for theBenchmark.p
% 3.75/16.12  % SZS status Unsatisfiable for theBenchmark.p
% 3.75/16.12  
% 3.75/16.12  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.75/16.12  
% 3.75/16.12  % ------  iProver source info
% 3.75/16.12  
% 3.75/16.12  % git: date: 2026-07-19 20:42:38 +0200
% 3.75/16.12  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.75/16.12  % git: non_committed_changes: false
% 3.75/16.12  
% 3.75/16.12  % ------ Parsing...% successful
% 3.75/16.12  
% 3.75/16.12  
% 3.75/16.12  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.75/16.12  
% 3.75/16.12  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.75/16.12  
% 3.75/16.12  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.75/16.12  
% 3.75/16.12  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.75/16.12  % ------ Proving...
% 3.75/16.12  % ------ Problem Properties 
% 3.75/16.12  
% 3.75/16.12  % 
% 3.75/16.12  % clauses                               16
% 3.75/16.12  % conjectures                           2
% 3.75/16.12  % EPR                                   2
% 3.75/16.12  % Horn                                  10
% 3.75/16.12  % unary                                 3
% 3.75/16.12  % binary                                8
% 3.75/16.12  % lits                                  34
% 3.75/16.12  % lits eq                               3
% 3.75/16.12  % fd_pure                               0
% 3.75/16.12  % fd_pseudo                             0
% 3.75/16.12  % fd_cond                               0
% 3.75/16.12  % fd_pseudo_cond                        0
% 3.75/16.12  % AC symbols                            0
% 3.75/16.12  
% 3.75/16.12  % ------ Schedule dynamic 5 is on 
% 3.75/16.12  
% 3.75/16.12  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.75/16.12  
% 3.75/16.12  
% 3.75/16.12  % ------ 
% 3.75/16.12  % Current options:
% 3.75/16.12  % ------ 
% 3.75/16.12  
% 3.75/16.12  
% 3.75/16.12  % 
% 3.75/16.12  
% 3.75/16.12  % ------ Proving...
% 3.75/16.12  % 
% 3.75/16.12  
% 3.75/16.12  % SZS status Unsatisfiable for theBenchmark.p
% 3.75/16.12  
% 3.75/16.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.75/16.13  
% 3.75/16.13  
%------------------------------------------------------------------------------