TSTP Solution File: PUZ026-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : PUZ026-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 15:11:30 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 67 ( 15 unt; 0 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 157 ( 79 ~; 78 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 59 ( 13 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_one_of_each,plain,
! [A,B,C] :
( ~ a_truth(liar(A))
| ~ a_truth(normal(B))
| ~ a_truth(truthteller(C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164786656,plain,
( ~ a_truth(liar(A))
| ~ a_truth(normal(B))
| ~ a_truth(truthteller(C)) ),
inference(rewrite,[status(thm)],[prove_one_of_each]),
[] ).
fof(liars_and_normal_lie,plain,
! [A,B] :
( a_truth(A)
| ~ a_truth(says(B,A))
| a_truth(liar(B))
| a_truth(normal(B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164703120,plain,
( a_truth(A)
| ~ a_truth(says(B,A))
| a_truth(liar(B))
| a_truth(normal(B)) ),
inference(rewrite,[status(thm)],[liars_and_normal_lie]),
[] ).
fof(a_says_a_normal,plain,
a_truth(says(a,normal(a))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164768688,plain,
a_truth(says(a,normal(a))),
inference(rewrite,[status(thm)],[a_says_a_normal]),
[] ).
cnf(172790720,plain,
( a_truth(normal(a))
| a_truth(liar(a)) ),
inference(resolution,[status(thm)],[164703120,164768688]),
[] ).
cnf(175481408,plain,
( ~ a_truth(liar(A))
| ~ a_truth(truthteller(B))
| a_truth(liar(a)) ),
inference(resolution,[status(thm)],[164786656,172790720]),
[] ).
fof(not_two_liars1,plain,
! [A,B,C] :
( ~ people(A,B,C)
| ~ a_truth(liar(A))
| ~ a_truth(liar(B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164735920,plain,
( ~ people(A,B,C)
| ~ a_truth(liar(A))
| ~ a_truth(liar(B)) ),
inference(rewrite,[status(thm)],[not_two_liars1]),
[] ).
fof(a_b_c_are_people,plain,
people(a,b,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164753160,plain,
people(a,b,c),
inference(rewrite,[status(thm)],[a_b_c_are_people]),
[] ).
cnf(172652008,plain,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b)) ),
inference(resolution,[status(thm)],[164735920,164753160]),
[] ).
fof(not_normal_and_not_normal,plain,
! [A] :
( ~ a_truth(not_normal(A))
| ~ a_truth(normal(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164708664,plain,
( ~ a_truth(not_normal(A))
| ~ a_truth(normal(A)) ),
inference(rewrite,[status(thm)],[not_normal_and_not_normal]),
[] ).
fof(person_is_one_type,plain,
! [A] :
( a_truth(truthteller(A))
| a_truth(liar(A))
| a_truth(normal(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164653280,plain,
( a_truth(truthteller(A))
| a_truth(liar(A))
| a_truth(normal(A)) ),
inference(rewrite,[status(thm)],[person_is_one_type]),
[] ).
cnf(172852688,plain,
( ~ a_truth(not_normal(A))
| a_truth(truthteller(A))
| a_truth(liar(A)) ),
inference(resolution,[status(thm)],[164708664,164653280]),
[] ).
fof(truthtellers_tell_truth,plain,
! [A,B] :
( ~ a_truth(truthteller(A))
| ~ a_truth(says(A,B))
| a_truth(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164675032,plain,
( ~ a_truth(truthteller(A))
| ~ a_truth(says(A,B))
| a_truth(B) ),
inference(rewrite,[status(thm)],[truthtellers_tell_truth]),
[] ).
fof(b_says_a_normal,plain,
a_truth(says(b,normal(a))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164772744,plain,
a_truth(says(b,normal(a))),
inference(rewrite,[status(thm)],[b_says_a_normal]),
[] ).
cnf(172858848,plain,
( ~ a_truth(truthteller(b))
| a_truth(normal(a)) ),
inference(resolution,[status(thm)],[164675032,164772744]),
[] ).
fof(not_liar_and_normal,plain,
! [A] :
( ~ a_truth(liar(A))
| ~ a_truth(normal(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164669528,plain,
( ~ a_truth(liar(A))
| ~ a_truth(normal(A)) ),
inference(rewrite,[status(thm)],[not_liar_and_normal]),
[] ).
cnf(173131664,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(a)) ),
inference(resolution,[status(thm)],[172858848,164669528]),
[] ).
cnf(173479280,plain,
( ~ a_truth(not_normal(b))
| ~ a_truth(liar(a)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172652008,172852688,173131664]),
[] ).
fof(normal_or_not_normal,plain,
! [A] :
( a_truth(not_normal(A))
| a_truth(normal(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164647520,plain,
( a_truth(not_normal(A))
| a_truth(normal(A)) ),
inference(rewrite,[status(thm)],[normal_or_not_normal]),
[] ).
cnf(173534392,plain,
( ~ a_truth(liar(a))
| a_truth(normal(b)) ),
inference(resolution,[status(thm)],[173479280,164647520]),
[] ).
cnf(175533080,plain,
( ~ a_truth(liar(A))
| ~ a_truth(truthteller(B)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[175481408,164786656,173534392]),
[] ).
cnf(175596776,plain,
( ~ a_truth(truthteller(A))
| a_truth(normal(a)) ),
inference(resolution,[status(thm)],[175533080,172790720]),
[] ).
fof(c_says_c_not_normal,plain,
a_truth(says(c,not_normal(c))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164776640,plain,
a_truth(says(c,not_normal(c))),
inference(rewrite,[status(thm)],[c_says_c_not_normal]),
[] ).
cnf(172872496,plain,
( ~ a_truth(truthteller(c))
| a_truth(not_normal(c)) ),
inference(resolution,[status(thm)],[164675032,164776640]),
[] ).
cnf(173190672,plain,
( a_truth(not_normal(c))
| a_truth(liar(c))
| a_truth(normal(c)) ),
inference(resolution,[status(thm)],[172872496,164653280]),
[] ).
cnf(173511824,plain,
( a_truth(truthteller(c))
| a_truth(liar(c))
| a_truth(normal(c)) ),
inference(resolution,[status(thm)],[172852688,173190672]),
[] ).
cnf(172825472,plain,
( ~ a_truth(liar(A))
| a_truth(not_normal(A)) ),
inference(resolution,[status(thm)],[164669528,164647520]),
[] ).
cnf(173861112,plain,
( a_truth(truthteller(c))
| a_truth(normal(c))
| a_truth(not_normal(c)) ),
inference(resolution,[status(thm)],[173511824,172825472]),
[] ).
cnf(173921240,plain,
( a_truth(not_normal(c))
| ~ a_truth(liar(c)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172872496,173861112,164669528]),
[] ).
fof(liars_lie,plain,
! [A,B] :
( ~ a_truth(liar(A))
| ~ a_truth(says(A,B))
| ~ a_truth(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164684952,plain,
( ~ a_truth(liar(A))
| ~ a_truth(says(A,B))
| ~ a_truth(B) ),
inference(rewrite,[status(thm)],[liars_lie]),
[] ).
cnf(174148992,plain,
~ a_truth(liar(c)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173921240,164684952,164776640]),
[] ).
cnf(174514608,plain,
( a_truth(truthteller(c))
| a_truth(normal(c)) ),
inference(resolution,[status(thm)],[174148992,164653280]),
[] ).
cnf(175697112,plain,
( a_truth(normal(a))
| a_truth(normal(c)) ),
inference(resolution,[status(thm)],[175596776,174514608]),
[] ).
fof(not_two_normal1,plain,
! [A,B,C] :
( ~ people(A,B,C)
| ~ a_truth(normal(A))
| ~ a_truth(normal(B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164745080,plain,
( ~ people(A,B,C)
| ~ a_truth(normal(A))
| ~ a_truth(normal(B)) ),
inference(rewrite,[status(thm)],[not_two_normal1]),
[] ).
fof(c_b_a_are_people,plain,
people(c,b,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164765072,plain,
people(c,b,a),
inference(rewrite,[status(thm)],[c_b_a_are_people]),
[] ).
cnf(172742928,plain,
( ~ a_truth(normal(c))
| ~ a_truth(normal(b)) ),
inference(resolution,[status(thm)],[164745080,164765072]),
[] ).
cnf(173641504,plain,
( a_truth(normal(b))
| a_truth(normal(a)) ),
inference(resolution,[status(thm)],[173534392,172790720]),
[] ).
cnf(181205656,plain,
a_truth(normal(a)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[175697112,172742928,173641504]),
[] ).
fof(not_two_normal2,plain,
! [A,B,C] :
( ~ people(A,B,C)
| ~ a_truth(normal(A))
| ~ a_truth(normal(C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164749080,plain,
( ~ people(A,B,C)
| ~ a_truth(normal(A))
| ~ a_truth(normal(C)) ),
inference(rewrite,[status(thm)],[not_two_normal2]),
[] ).
cnf(172714288,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(c)) ),
inference(resolution,[status(thm)],[164749080,164753160]),
[] ).
cnf(173590144,plain,
( ~ a_truth(liar(b))
| a_truth(normal(a)) ),
inference(resolution,[status(thm)],[172652008,172790720]),
[] ).
cnf(174124256,plain,
~ a_truth(liar(b)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173590144,164684952,164772744]),
[] ).
cnf(174478248,plain,
( a_truth(truthteller(b))
| a_truth(normal(b)) ),
inference(resolution,[status(thm)],[174124256,164653280]),
[] ).
cnf(175606840,plain,
( ~ a_truth(liar(A))
| a_truth(normal(b)) ),
inference(resolution,[status(thm)],[175533080,174478248]),
[] ).
cnf(175838744,plain,
( a_truth(normal(b))
| a_truth(truthteller(A))
| a_truth(normal(A)) ),
inference(resolution,[status(thm)],[175606840,164653280]),
[] ).
fof(not_two_truthtellers1,plain,
! [A,B,C] :
( ~ people(A,B,C)
| ~ a_truth(truthteller(A))
| ~ a_truth(truthteller(B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),
[] ).
cnf(164726480,plain,
( ~ people(A,B,C)
| ~ a_truth(truthteller(A))
| ~ a_truth(truthteller(B)) ),
inference(rewrite,[status(thm)],[not_two_truthtellers1]),
[] ).
cnf(172725648,plain,
( ~ a_truth(truthteller(c))
| ~ a_truth(truthteller(b)) ),
inference(resolution,[status(thm)],[164726480,164765072]),
[] ).
cnf(177787064,plain,
( a_truth(normal(b))
| a_truth(normal(c)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[175838744,172725648,175838744]),
[] ).
cnf(172698184,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b)) ),
inference(resolution,[status(thm)],[164745080,164753160]),
[] ).
cnf(180786024,plain,
a_truth(normal(c)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[177787064,172698184,175697112]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[181205656,172714288,180786024]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_one_of_each,plain,(~a_truth(liar(A))|~a_truth(normal(B))|~a_truth(truthteller(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164786656,plain,(~a_truth(liar(A))|~a_truth(normal(B))|~a_truth(truthteller(C))),inference(rewrite,[status(thm)],[prove_one_of_each]),[]).
%
% fof(liars_and_normal_lie,plain,(a_truth(A)|~a_truth(says(B,A))|a_truth(liar(B))|a_truth(normal(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164703120,plain,(a_truth(A)|~a_truth(says(B,A))|a_truth(liar(B))|a_truth(normal(B))),inference(rewrite,[status(thm)],[liars_and_normal_lie]),[]).
%
% fof(a_says_a_normal,plain,(a_truth(says(a,normal(a)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164768688,plain,(a_truth(says(a,normal(a)))),inference(rewrite,[status(thm)],[a_says_a_normal]),[]).
%
% cnf(172790720,plain,(a_truth(normal(a))|a_truth(liar(a))),inference(resolution,[status(thm)],[164703120,164768688]),[]).
%
% cnf(175481408,plain,(~a_truth(liar(A))|~a_truth(truthteller(B))|a_truth(liar(a))),inference(resolution,[status(thm)],[164786656,172790720]),[]).
%
% fof(not_two_liars1,plain,(~people(A,B,C)|~a_truth(liar(A))|~a_truth(liar(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164735920,plain,(~people(A,B,C)|~a_truth(liar(A))|~a_truth(liar(B))),inference(rewrite,[status(thm)],[not_two_liars1]),[]).
%
% fof(a_b_c_are_people,plain,(people(a,b,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164753160,plain,(people(a,b,c)),inference(rewrite,[status(thm)],[a_b_c_are_people]),[]).
%
% cnf(172652008,plain,(~a_truth(liar(a))|~a_truth(liar(b))),inference(resolution,[status(thm)],[164735920,164753160]),[]).
%
% fof(not_normal_and_not_normal,plain,(~a_truth(not_normal(A))|~a_truth(normal(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164708664,plain,(~a_truth(not_normal(A))|~a_truth(normal(A))),inference(rewrite,[status(thm)],[not_normal_and_not_normal]),[]).
%
% fof(person_is_one_type,plain,(a_truth(truthteller(A))|a_truth(liar(A))|a_truth(normal(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164653280,plain,(a_truth(truthteller(A))|a_truth(liar(A))|a_truth(normal(A))),inference(rewrite,[status(thm)],[person_is_one_type]),[]).
%
% cnf(172852688,plain,(~a_truth(not_normal(A))|a_truth(truthteller(A))|a_truth(liar(A))),inference(resolution,[status(thm)],[164708664,164653280]),[]).
%
% fof(truthtellers_tell_truth,plain,(~a_truth(truthteller(A))|~a_truth(says(A,B))|a_truth(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164675032,plain,(~a_truth(truthteller(A))|~a_truth(says(A,B))|a_truth(B)),inference(rewrite,[status(thm)],[truthtellers_tell_truth]),[]).
%
% fof(b_says_a_normal,plain,(a_truth(says(b,normal(a)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164772744,plain,(a_truth(says(b,normal(a)))),inference(rewrite,[status(thm)],[b_says_a_normal]),[]).
%
% cnf(172858848,plain,(~a_truth(truthteller(b))|a_truth(normal(a))),inference(resolution,[status(thm)],[164675032,164772744]),[]).
%
% fof(not_liar_and_normal,plain,(~a_truth(liar(A))|~a_truth(normal(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164669528,plain,(~a_truth(liar(A))|~a_truth(normal(A))),inference(rewrite,[status(thm)],[not_liar_and_normal]),[]).
%
% cnf(173131664,plain,(~a_truth(truthteller(b))|~a_truth(liar(a))),inference(resolution,[status(thm)],[172858848,164669528]),[]).
%
% cnf(173479280,plain,(~a_truth(not_normal(b))|~a_truth(liar(a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[172652008,172852688,173131664]),[]).
%
% fof(normal_or_not_normal,plain,(a_truth(not_normal(A))|a_truth(normal(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164647520,plain,(a_truth(not_normal(A))|a_truth(normal(A))),inference(rewrite,[status(thm)],[normal_or_not_normal]),[]).
%
% cnf(173534392,plain,(~a_truth(liar(a))|a_truth(normal(b))),inference(resolution,[status(thm)],[173479280,164647520]),[]).
%
% cnf(175533080,plain,(~a_truth(liar(A))|~a_truth(truthteller(B))),inference(forward_subsumption_resolution__resolution,[status(thm)],[175481408,164786656,173534392]),[]).
%
% cnf(175596776,plain,(~a_truth(truthteller(A))|a_truth(normal(a))),inference(resolution,[status(thm)],[175533080,172790720]),[]).
%
% fof(c_says_c_not_normal,plain,(a_truth(says(c,not_normal(c)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164776640,plain,(a_truth(says(c,not_normal(c)))),inference(rewrite,[status(thm)],[c_says_c_not_normal]),[]).
%
% cnf(172872496,plain,(~a_truth(truthteller(c))|a_truth(not_normal(c))),inference(resolution,[status(thm)],[164675032,164776640]),[]).
%
% cnf(173190672,plain,(a_truth(not_normal(c))|a_truth(liar(c))|a_truth(normal(c))),inference(resolution,[status(thm)],[172872496,164653280]),[]).
%
% cnf(173511824,plain,(a_truth(truthteller(c))|a_truth(liar(c))|a_truth(normal(c))),inference(resolution,[status(thm)],[172852688,173190672]),[]).
%
% cnf(172825472,plain,(~a_truth(liar(A))|a_truth(not_normal(A))),inference(resolution,[status(thm)],[164669528,164647520]),[]).
%
% cnf(173861112,plain,(a_truth(truthteller(c))|a_truth(normal(c))|a_truth(not_normal(c))),inference(resolution,[status(thm)],[173511824,172825472]),[]).
%
% cnf(173921240,plain,(a_truth(not_normal(c))|~a_truth(liar(c))),inference(forward_subsumption_resolution__resolution,[status(thm)],[172872496,173861112,164669528]),[]).
%
% fof(liars_lie,plain,(~a_truth(liar(A))|~a_truth(says(A,B))|~a_truth(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164684952,plain,(~a_truth(liar(A))|~a_truth(says(A,B))|~a_truth(B)),inference(rewrite,[status(thm)],[liars_lie]),[]).
%
% cnf(174148992,plain,(~a_truth(liar(c))),inference(forward_subsumption_resolution__resolution,[status(thm)],[173921240,164684952,164776640]),[]).
%
% cnf(174514608,plain,(a_truth(truthteller(c))|a_truth(normal(c))),inference(resolution,[status(thm)],[174148992,164653280]),[]).
%
% cnf(175697112,plain,(a_truth(normal(a))|a_truth(normal(c))),inference(resolution,[status(thm)],[175596776,174514608]),[]).
%
% fof(not_two_normal1,plain,(~people(A,B,C)|~a_truth(normal(A))|~a_truth(normal(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164745080,plain,(~people(A,B,C)|~a_truth(normal(A))|~a_truth(normal(B))),inference(rewrite,[status(thm)],[not_two_normal1]),[]).
%
% fof(c_b_a_are_people,plain,(people(c,b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164765072,plain,(people(c,b,a)),inference(rewrite,[status(thm)],[c_b_a_are_people]),[]).
%
% cnf(172742928,plain,(~a_truth(normal(c))|~a_truth(normal(b))),inference(resolution,[status(thm)],[164745080,164765072]),[]).
%
% cnf(173641504,plain,(a_truth(normal(b))|a_truth(normal(a))),inference(resolution,[status(thm)],[173534392,172790720]),[]).
%
% cnf(181205656,plain,(a_truth(normal(a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[175697112,172742928,173641504]),[]).
%
% fof(not_two_normal2,plain,(~people(A,B,C)|~a_truth(normal(A))|~a_truth(normal(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164749080,plain,(~people(A,B,C)|~a_truth(normal(A))|~a_truth(normal(C))),inference(rewrite,[status(thm)],[not_two_normal2]),[]).
%
% cnf(172714288,plain,(~a_truth(normal(a))|~a_truth(normal(c))),inference(resolution,[status(thm)],[164749080,164753160]),[]).
%
% cnf(173590144,plain,(~a_truth(liar(b))|a_truth(normal(a))),inference(resolution,[status(thm)],[172652008,172790720]),[]).
%
% cnf(174124256,plain,(~a_truth(liar(b))),inference(forward_subsumption_resolution__resolution,[status(thm)],[173590144,164684952,164772744]),[]).
%
% cnf(174478248,plain,(a_truth(truthteller(b))|a_truth(normal(b))),inference(resolution,[status(thm)],[174124256,164653280]),[]).
%
% cnf(175606840,plain,(~a_truth(liar(A))|a_truth(normal(b))),inference(resolution,[status(thm)],[175533080,174478248]),[]).
%
% cnf(175838744,plain,(a_truth(normal(b))|a_truth(truthteller(A))|a_truth(normal(A))),inference(resolution,[status(thm)],[175606840,164653280]),[]).
%
% fof(not_two_truthtellers1,plain,(~people(A,B,C)|~a_truth(truthteller(A))|~a_truth(truthteller(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ026-1.tptp',unknown),[]).
%
% cnf(164726480,plain,(~people(A,B,C)|~a_truth(truthteller(A))|~a_truth(truthteller(B))),inference(rewrite,[status(thm)],[not_two_truthtellers1]),[]).
%
% cnf(172725648,plain,(~a_truth(truthteller(c))|~a_truth(truthteller(b))),inference(resolution,[status(thm)],[164726480,164765072]),[]).
%
% cnf(177787064,plain,(a_truth(normal(b))|a_truth(normal(c))),inference(forward_subsumption_resolution__resolution,[status(thm)],[175838744,172725648,175838744]),[]).
%
% cnf(172698184,plain,(~a_truth(normal(a))|~a_truth(normal(b))),inference(resolution,[status(thm)],[164745080,164753160]),[]).
%
% cnf(180786024,plain,(a_truth(normal(c))),inference(forward_subsumption_resolution__resolution,[status(thm)],[177787064,172698184,175697112]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[181205656,172714288,180786024]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------