TSTP Solution File: PUZ027-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : PUZ027-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 18:24:11 EDT 2022
% Result : Unsatisfiable 0.54s 0.74s
% Output : Refutation 0.54s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_there_is_an_answer,negated_conjecture,
~ answer(X2),
input ).
cnf(a_normal_b_truthteller,plain,
( ~ a_truth(normal(a))
| ~ a_truth(truthteller(b))
| answer(a_normal_b_truthteller) ),
input ).
cnf(a_and_b_normal,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b))
| answer(a_and_b_normal) ),
input ).
cnf(person_is_one_type,axiom,
( a_truth(truthteller(X7))
| a_truth(liar(X7))
| a_truth(normal(X7)) ),
input ).
cnf(b_says_a_not_lower_than_b,plain,
a_truth(says(b,not_lower(a,b))),
input ).
cnf(liars_lie,axiom,
( ~ a_truth(liar(X24))
| ~ a_truth(says(X24,X25))
| ~ a_truth(X25) ),
input ).
cnf(c11,plain,
( ~ a_truth(liar(b))
| ~ a_truth(not_lower(a,b)) ),
inference(resolution,status(thm),[liars_lie,b_says_a_not_lower_than_b]) ).
cnf(no_one_lower_than_liars,axiom,
( ~ a_truth(lower(X10,X11))
| ~ a_truth(liar(X11)) ),
input ).
cnf(not_lower_or_lower,axiom,
( a_truth(not_lower(X14,X15))
| a_truth(lower(X14,X15)) ),
input ).
cnf(c4,plain,
( a_truth(not_lower(X20,X21))
| ~ a_truth(liar(X21)) ),
inference(resolution,status(thm),[not_lower_or_lower,no_one_lower_than_liars]) ).
cnf(c7,plain,
( a_truth(not_lower(X46,X45))
| a_truth(truthteller(X45))
| a_truth(normal(X45)) ),
inference(resolution,status(thm),[c4,person_is_one_type]) ).
cnf(c51,plain,
( a_truth(truthteller(b))
| a_truth(normal(b))
| ~ a_truth(liar(b)) ),
inference(resolution,status(thm),[c7,c11]) ).
cnf(c97,plain,
( a_truth(truthteller(b))
| a_truth(normal(b)) ),
inference(resolution,status(thm),[c51,person_is_one_type]) ).
cnf(c108,plain,
( a_truth(truthteller(b))
| ~ a_truth(normal(a))
| answer(a_and_b_normal) ),
inference(resolution,status(thm),[c97,a_and_b_normal]) ).
cnf(a_liar_b_normal,plain,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b))
| answer(a_liar_b_normal) ),
input ).
cnf(c105,plain,
( a_truth(truthteller(b))
| ~ a_truth(liar(a))
| answer(a_liar_b_normal) ),
inference(resolution,status(thm),[c97,a_liar_b_normal]) ).
cnf(truthtellers_lower_than_no_one,axiom,
( ~ a_truth(lower(X8,X9))
| ~ a_truth(truthteller(X8)) ),
input ).
cnf(truthtellers_tell_truth,axiom,
( ~ a_truth(truthteller(X18))
| ~ a_truth(says(X18,X19))
| a_truth(X19) ),
input ).
cnf(a_says_a_lower_than_b,plain,
a_truth(says(a,lower(a,b))),
input ).
cnf(c8,plain,
( ~ a_truth(truthteller(a))
| a_truth(lower(a,b)) ),
inference(resolution,status(thm),[a_says_a_lower_than_b,truthtellers_tell_truth]) ).
cnf(c14,plain,
( a_truth(lower(a,b))
| a_truth(liar(a))
| a_truth(normal(a)) ),
inference(resolution,status(thm),[c8,person_is_one_type]) ).
cnf(c124,plain,
( a_truth(liar(a))
| a_truth(normal(a))
| ~ a_truth(truthteller(a)) ),
inference(resolution,status(thm),[c14,truthtellers_lower_than_no_one]) ).
cnf(c259,plain,
( a_truth(liar(a))
| a_truth(normal(a)) ),
inference(resolution,status(thm),[c124,person_is_one_type]) ).
cnf(c260,plain,
( a_truth(normal(a))
| a_truth(truthteller(b))
| answer(a_liar_b_normal) ),
inference(resolution,status(thm),[c259,c105]) ).
cnf(c302,plain,
( a_truth(normal(a))
| a_truth(truthteller(b)) ),
inference(resolution,status(thm),[c260,prove_there_is_an_answer]) ).
cnf(c303,plain,
( a_truth(truthteller(b))
| answer(a_and_b_normal) ),
inference(resolution,status(thm),[c302,c108]) ).
cnf(c318,plain,
a_truth(truthteller(b)),
inference(resolution,status(thm),[c303,prove_there_is_an_answer]) ).
cnf(c320,plain,
( ~ a_truth(normal(a))
| answer(a_normal_b_truthteller) ),
inference(resolution,status(thm),[c318,a_normal_b_truthteller]) ).
cnf(a_liar_b_truthteller,plain,
( ~ a_truth(liar(a))
| ~ a_truth(truthteller(b))
| answer(a_liar_b_truthteller) ),
input ).
cnf(c319,plain,
( ~ a_truth(liar(a))
| answer(a_liar_b_truthteller) ),
inference(resolution,status(thm),[c318,a_liar_b_truthteller]) ).
cnf(c327,plain,
( answer(a_liar_b_truthteller)
| a_truth(normal(a)) ),
inference(resolution,status(thm),[c319,c259]) ).
cnf(c337,plain,
a_truth(normal(a)),
inference(resolution,status(thm),[c327,prove_there_is_an_answer]) ).
cnf(c343,plain,
answer(a_normal_b_truthteller),
inference(resolution,status(thm),[c337,c320]) ).
cnf(c348,plain,
$false,
inference(resolution,status(thm),[c343,prove_there_is_an_answer]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PUZ027-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat May 28 20:25:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.74 # Version: 1.3
% 0.54/0.74 # SZS status Unsatisfiable
% 0.54/0.74 # SZS output start CNFRefutation
% See solution above
% 0.54/0.74
% 0.54/0.74 # Initial clauses : 32
% 0.54/0.74 # Processed clauses : 87
% 0.54/0.74 # Factors computed : 2
% 0.54/0.74 # Resolvents computed: 347
% 0.54/0.74 # Tautologies deleted: 12
% 0.54/0.74 # Forward subsumed : 34
% 0.54/0.74 # Backward subsumed : 42
% 0.54/0.74 # -------- CPU Time ---------
% 0.54/0.74 # User time : 0.385 s
% 0.54/0.74 # System time : 0.016 s
% 0.54/0.74 # Total time : 0.401 s
%------------------------------------------------------------------------------