TSTP Solution File: PUZ027-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PUZ027-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 18:26:45 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 26 ( 7 unt; 5 nHn; 25 RR)
% Number of literals : 55 ( 0 equ; 32 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(person_is_one_type,axiom,
( a_truth(truthteller(X))
| a_truth(liar(X))
| a_truth(normal(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ003-0.ax',person_is_one_type) ).
cnf(truthtellers_tell_truth,axiom,
( ~ a_truth(truthteller(X))
| ~ a_truth(says(X,Y))
| a_truth(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ003-0.ax',truthtellers_tell_truth) ).
cnf(truthtellers_lower_than_no_one,axiom,
( ~ a_truth(lower(X,Y))
| ~ a_truth(truthteller(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthtellers_lower_than_no_one) ).
cnf(a_says_a_lower_than_b,hypothesis,
a_truth(says(a,lower(a,b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_says_a_lower_than_b) ).
cnf(a_normal_b_truthteller,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(truthteller(b))
| answer(a_normal_b_truthteller) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_normal_b_truthteller) ).
cnf(a_and_b_normal,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b))
| answer(a_and_b_normal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_and_b_normal) ).
cnf(a_normal_b_liar,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(liar(b))
| answer(a_normal_b_liar) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_normal_b_liar) ).
cnf(a_liar_b_truthteller,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(truthteller(b))
| answer(a_liar_b_truthteller) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_liar_b_truthteller) ).
cnf(a_liar_b_normal,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b))
| answer(a_liar_b_normal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_liar_b_normal) ).
cnf(a_and_b_liar,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b))
| answer(a_and_b_liar) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_and_b_liar) ).
cnf(prove_there_is_an_answer,negated_conjecture,
~ answer(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_an_answer) ).
cnf(36,plain,
( ~ a_truth(normal(a))
| ~ a_truth(truthteller(b)) ),
inference('REWRITE',[status(thm)],[a_normal_b_truthteller,prove_there_is_an_answer]) ).
cnf(37,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b)) ),
inference('REWRITE',[status(thm)],[a_and_b_normal,prove_there_is_an_answer]) ).
cnf(38,plain,
( ~ a_truth(normal(a))
| ~ a_truth(liar(b)) ),
inference('REWRITE',[status(thm)],[a_normal_b_liar,prove_there_is_an_answer]) ).
cnf(39,plain,
( ~ a_truth(liar(a))
| ~ a_truth(truthteller(b)) ),
inference('REWRITE',[status(thm)],[a_liar_b_truthteller,prove_there_is_an_answer]) ).
cnf(40,plain,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b)) ),
inference('REWRITE',[status(thm)],[a_liar_b_normal,prove_there_is_an_answer]) ).
cnf(41,plain,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b)) ),
inference('REWRITE',[status(thm)],[a_and_b_liar,prove_there_is_an_answer]) ).
cnf(43,plain,
( a_truth(liar(a))
| a_truth(normal(a))
| a_truth(lower(a,b)) ),
inference('HYPERRESOLVE',[status(thm)],[truthtellers_tell_truth,person_is_one_type,a_says_a_lower_than_b]) ).
cnf(48,plain,
( a_truth(liar(a))
| a_truth(normal(a)) ),
inference('HYPERRESOLVE',[status(thm)],[truthtellers_lower_than_no_one,43,person_is_one_type]) ).
cnf(49,plain,
( a_truth(liar(a))
| a_truth(liar(b))
| a_truth(normal(b)) ),
inference('HYPERRESOLVE',[status(thm)],[36,48,person_is_one_type]) ).
cnf(53,plain,
( a_truth(liar(a))
| a_truth(liar(b)) ),
inference('HYPERRESOLVE',[status(thm)],[37,49,48]) ).
cnf(54,plain,
a_truth(liar(a)),
inference('HYPERRESOLVE',[status(thm)],[38,53,48]) ).
cnf(55,plain,
~ a_truth(truthteller(b)),
inference('REWRITE',[status(thm)],[39,54]) ).
cnf(58,plain,
~ a_truth(normal(b)),
inference('REWRITE',[status(thm)],[40,54]) ).
cnf(62,plain,
~ a_truth(liar(b)),
inference('REWRITE',[status(thm)],[41,54]) ).
cnf(64,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[55,person_is_one_type]),58,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ027-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat May 28 19:35:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-28T19:35:08
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-05-28T19:35:08
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 #||
% 0.20/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53 % SZS output start Refutation
% See solution above
% 0.20/0.53 ||#
% 0.20/0.53
% 0.20/0.53 ; Summary of computation:
% 0.20/0.53 ; 94 formulas have been input or derived (from 41 formulas).
% 0.20/0.53 ; 64 (68%) were retained. Of these,
% 0.20/0.53 ; 31 (48%) were simplified or subsumed later,
% 0.20/0.53 ; 33 (52%) are still being kept.
% 0.20/0.53 ;
% 0.20/0.53 ; Run time in seconds excluding printing time:
% 0.20/0.53 ; 0.006 13% Read assertion file (1 call)
% 0.20/0.53 ; 0.002 4% Assert (32 calls)
% 0.20/0.53 ; 0.005 11% Process new row (92 calls)
% 0.20/0.53 ; 0.001 2% Resolution (80 calls)
% 0.20/0.53 ; 0.002 4% Paramodulation (40 calls)
% 0.20/0.53 ; 0.000 0% Factoring (8 calls)
% 0.20/0.53 ; 0.000 0% Condensing (64 calls)
% 0.20/0.53 ; 0.002 4% Forward subsumption (64 calls)
% 0.20/0.53 ; 0.002 4% Backward subsumption (52 calls)
% 0.20/0.53 ; 0.000 0% Clause clause subsumption (38 calls)
% 0.20/0.53 ; 0.001 2% Forward simplification (78 calls)
% 0.20/0.53 ; 0.002 4% Backward simplification (64 calls)
% 0.20/0.53 ; 0.000 0% Ordering (40 calls)
% 0.20/0.53 ; 0.001 2% Sortal reasoning (32 calls)
% 0.20/0.53 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.022 48% Other
% 0.20/0.53 ; 0.046 Total
% 0.20/0.53 ; 0.050 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 62 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 21 entries (36 at peak, 52 added, 31 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 70 nodes (133 at peak, 234 added, 164 deleted).
% 0.20/0.53 ; Retrieved 39 possibly forward subsuming rows in 64 calls.
% 0.20/0.53 ; Retrieved 7 possibly backward subsumed rows in 52 calls.
% 0.20/0.53 ; Path-index has 51 entries (65 at peak, 89 added, 38 deleted).
% 0.20/0.53 ; Path-index has 93 nodes (107 at peak, 133 added, 40 deleted).
% 0.20/0.53 ; Trie-index has 51 entries (65 at peak, 89 added, 38 deleted).
% 0.20/0.53 ; Trie-index has 73 nodes (87 at peak, 115 added, 42 deleted).
% 0.20/0.53 ; Retrieved 27 generalization terms in 171 calls.
% 0.20/0.53 ; Retrieved 22 instance terms in 11 calls.
% 0.20/0.53 ; Retrieved 1,232 unifiable terms in 359 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of input rows to give has 2 entries:
% 0.20/0.53 ; 2 with value 5
% 0.20/0.53 ; The agenda of rows to give has 5 entries:
% 0.20/0.53 ; 2 with value (4 7) 1 with value (4 12) 1 with value (4 28)
% 0.20/0.53 ; 1 with value (4 10)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.05 seconds of real time
% 0.20/0.53 0.042211 seconds of user run time
% 0.20/0.53 0.008065 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 3,836,688 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-28T19:35:08
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------