TSTP Solution File: PUZ025-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 18:20:38 EDT 2022
% Result : Unsatisfiable 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 28 ( 8 unt; 5 nHn; 27 RR)
% Number of literals : 64 ( 0 equ; 41 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(truthteller_or_liar,axiom,
( a_truth(truthteller(X))
| a_truth(liar(X)) ) ).
cnf(truthteller_identifies_truths,axiom,
( ~ ask_1_if_2(X,Y)
| ~ a_truth(truthteller(X))
| ~ a_truth(Y)
| answer(yes) ) ).
cnf(truthteller_denies_lies,axiom,
( ~ ask_1_if_2(X,Y)
| ~ a_truth(truthteller(X))
| a_truth(Y)
| answer(no) ) ).
cnf(liar_denies_truths,axiom,
( ~ ask_1_if_2(X,Y)
| ~ a_truth(liar(X))
| ~ a_truth(Y)
| answer(no) ) ).
cnf(liar_supports_lies,axiom,
( ~ ask_1_if_2(X,Y)
| ~ a_truth(liar(X))
| a_truth(Y)
| answer(yes) ) ).
cnf(ask_c_if_a_and_b_equal,hypothesis,
ask_1_if_2(c,equal_type(a,b)) ).
cnf(prove_there_is_an_answer,negated_conjecture,
~ answer(Answer) ).
cnf(refute_0_0,plain,
~ answer(yes),
inference(subst,[],[prove_there_is_an_answer:[bind(Answer,$fot(yes))]]) ).
cnf(refute_0_1,plain,
( ~ a_truth(liar(X))
| ~ ask_1_if_2(X,Y)
| a_truth(Y) ),
inference(resolve,[$cnf( answer(yes) )],[liar_supports_lies,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ a_truth(liar(c))
| ~ ask_1_if_2(c,equal_type(a,b))
| a_truth(equal_type(a,b)) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(c)),bind(Y,$fot(equal_type(a,b)))]]) ).
cnf(refute_0_3,plain,
( ~ a_truth(liar(c))
| a_truth(equal_type(a,b)) ),
inference(resolve,[$cnf( ask_1_if_2(c,equal_type(a,b)) )],[ask_c_if_a_and_b_equal,refute_0_2]) ).
cnf(refute_0_4,plain,
( a_truth(liar(c))
| a_truth(truthteller(c)) ),
inference(subst,[],[truthteller_or_liar:[bind(X,$fot(c))]]) ).
cnf(refute_0_5,plain,
( ~ a_truth(Y)
| ~ a_truth(truthteller(X))
| ~ ask_1_if_2(X,Y) ),
inference(resolve,[$cnf( answer(yes) )],[truthteller_identifies_truths,refute_0_0]) ).
cnf(refute_0_6,plain,
( ~ a_truth(equal_type(a,b))
| ~ a_truth(truthteller(c))
| ~ ask_1_if_2(c,equal_type(a,b)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(c)),bind(Y,$fot(equal_type(a,b)))]]) ).
cnf(refute_0_7,plain,
( ~ a_truth(equal_type(a,b))
| ~ a_truth(truthteller(c)) ),
inference(resolve,[$cnf( ask_1_if_2(c,equal_type(a,b)) )],[ask_c_if_a_and_b_equal,refute_0_6]) ).
cnf(refute_0_8,plain,
~ answer(no),
inference(subst,[],[prove_there_is_an_answer:[bind(Answer,$fot(no))]]) ).
cnf(refute_0_9,plain,
( ~ a_truth(truthteller(X))
| ~ ask_1_if_2(X,Y)
| a_truth(Y) ),
inference(resolve,[$cnf( answer(no) )],[truthteller_denies_lies,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ a_truth(truthteller(c))
| ~ ask_1_if_2(c,equal_type(a,b))
| a_truth(equal_type(a,b)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(c)),bind(Y,$fot(equal_type(a,b)))]]) ).
cnf(refute_0_11,plain,
( ~ a_truth(truthteller(c))
| a_truth(equal_type(a,b)) ),
inference(resolve,[$cnf( ask_1_if_2(c,equal_type(a,b)) )],[ask_c_if_a_and_b_equal,refute_0_10]) ).
cnf(refute_0_12,plain,
( a_truth(equal_type(a,b))
| a_truth(liar(c)) ),
inference(resolve,[$cnf( a_truth(truthteller(c)) )],[refute_0_4,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ a_truth(truthteller(c))
| a_truth(liar(c)) ),
inference(resolve,[$cnf( a_truth(equal_type(a,b)) )],[refute_0_12,refute_0_7]) ).
cnf(refute_0_14,plain,
a_truth(liar(c)),
inference(resolve,[$cnf( a_truth(truthteller(c)) )],[refute_0_4,refute_0_13]) ).
cnf(refute_0_15,plain,
a_truth(equal_type(a,b)),
inference(resolve,[$cnf( a_truth(liar(c)) )],[refute_0_14,refute_0_3]) ).
cnf(refute_0_16,plain,
( ~ a_truth(Y)
| ~ a_truth(liar(X))
| ~ ask_1_if_2(X,Y) ),
inference(resolve,[$cnf( answer(no) )],[liar_denies_truths,refute_0_8]) ).
cnf(refute_0_17,plain,
( ~ a_truth(equal_type(a,b))
| ~ a_truth(liar(c))
| ~ ask_1_if_2(c,equal_type(a,b)) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(c)),bind(Y,$fot(equal_type(a,b)))]]) ).
cnf(refute_0_18,plain,
( ~ a_truth(equal_type(a,b))
| ~ a_truth(liar(c)) ),
inference(resolve,[$cnf( ask_1_if_2(c,equal_type(a,b)) )],[ask_c_if_a_and_b_equal,refute_0_17]) ).
cnf(refute_0_19,plain,
~ a_truth(equal_type(a,b)),
inference(resolve,[$cnf( a_truth(liar(c)) )],[refute_0_14,refute_0_18]) ).
cnf(refute_0_20,plain,
$false,
inference(resolve,[$cnf( a_truth(equal_type(a,b)) )],[refute_0_15,refute_0_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.11 % Command : metis --show proof --show saturation %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sat May 28 23:01:26 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.10/0.30 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.15/0.32 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.32
% 0.15/0.32 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.15/0.32
%------------------------------------------------------------------------------