%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PUZ032-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 18:26:46 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 7 unt; 2 nHn; 11 RR)
% Number of literals : 20 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(truthteller_or_liar,axiom,
( a_truth(truthteller(X))
| a_truth(liar(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',truthteller_or_liar) ).
cnf(truthtellers_tell_truth,axiom,
( ~ a_truth(truthteller(X))
| ~ a_truth(says(X,Y))
| a_truth(Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',truthtellers_tell_truth) ).
cnf(liars_lie,axiom,
( ~ a_truth(liar(X))
| ~ a_truth(says(X,Y))
| ~ a_truth(Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',liars_lie) ).
cnf(truths_are_told_by_truthtellers,axiom,
( ~ a_truth(X)
| ~ a_truth(says(Y,X))
| a_truth(truthteller(Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',truths_are_told_by_truthtellers) ).
cnf(b_says_a_says_hes_a_liar,hypothesis,
a_truth(says(b,says(a,liar(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_says_a_says_hes_a_liar) ).
cnf(c_says_b_is_a_liar,hypothesis,
a_truth(says(c,liar(b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_says_b_is_a_liar) ).
cnf(prove_c_is_a_truthteller,negated_conjecture,
~ a_truth(truthteller(c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_is_a_truthteller) ).
cnf(13,plain,
( a_truth(liar(b))
| a_truth(says(a,liar(a))) ),
inference('HYPERRESOLVE',[status(thm)],[truthtellers_tell_truth,truthteller_or_liar,b_says_a_says_hes_a_liar]) ).
cnf(14,plain,
~ a_truth(liar(b)),
inference('UR-RESOLVE',[status(thm)],[truths_are_told_by_truthtellers,c_says_b_is_a_liar,prove_c_is_a_truthteller]) ).
cnf(15,plain,
a_truth(says(a,liar(a))),
inference('REWRITE',[status(thm)],[13,14]) ).
cnf(25,plain,
a_truth(liar(a)),
inference('HYPERRESOLVE',[status(thm)],[truthtellers_tell_truth,15,truthteller_or_liar]) ).
cnf(26,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[liars_lie,15]),25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ032-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat May 28 20:07:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T20:07:43
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-05-28T20:07:43
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 ||#
% 0.20/0.50
% 0.20/0.50 ; Summary of computation:
% 0.20/0.50 ; 58 formulas have been input or derived (from 16 formulas).
% 0.20/0.50 ; 26 (45%) were retained. Of these,
% 0.20/0.50 ; 2 ( 8%) were simplified or subsumed later,
% 0.20/0.50 ; 24 (92%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds excluding printing time:
% 0.20/0.50 ; 0.002 6% Read assertion file (1 call)
% 0.20/0.50 ; 0.000 0% Assert (10 calls)
% 0.20/0.50 ; 0.003 10% Process new row (47 calls)
% 0.20/0.50 ; 0.001 3% Resolution (30 calls)
% 0.20/0.50 ; 0.001 3% Paramodulation (15 calls)
% 0.20/0.50 ; 0.000 0% Factoring (2 calls)
% 0.20/0.50 ; 0.000 0% Condensing (10 calls)
% 0.20/0.50 ; 0.001 3% Forward subsumption (10 calls)
% 0.20/0.50 ; 0.000 0% Backward subsumption (8 calls)
% 0.20/0.50 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.20/0.50 ; 0.000 0% Forward simplification (47 calls)
% 0.20/0.50 ; 0.000 0% Backward simplification (26 calls)
% 0.20/0.50 ; 0.000 0% Ordering (4 calls)
% 0.20/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.50 ; 0.000 0% Purity testing (1 call)
% 0.20/0.50 ; 0.023 74% Other
% 0.20/0.50 ; 0.031 Total
% 0.20/0.50 ; 0.032 Real time
% 0.20/0.50 ;
% 0.20/0.50 ; Term-hash-array has 47 terms in all.
% 0.20/0.50 ; Feature-vector-row-index has 6 entries (8 at peak, 8 added, 2 deleted).
% 0.20/0.50 ; Feature-vector-row-index has 19 nodes (34 at peak, 34 added, 15 deleted).
% 0.20/0.50 ; Retrieved 2 possibly forward subsuming rows in 10 calls.
% 0.20/0.50 ; Retrieved 0 possibly backward subsumed rows in 8 calls.
% 0.20/0.50 ; Path-index has 51 entries (51 at peak, 53 added, 2 deleted).
% 0.20/0.50 ; Path-index has 90 nodes (90 at peak, 92 added, 2 deleted).
% 0.20/0.50 ; Trie-index has 51 entries (51 at peak, 53 added, 2 deleted).
% 0.20/0.50 ; Trie-index has 92 nodes (92 at peak, 95 added, 3 deleted).
% 0.20/0.50 ; Retrieved 22 generalization terms in 47 calls.
% 0.20/0.50 ; Retrieved 17 instance terms in 17 calls.
% 0.20/0.50 ; Retrieved 579 unifiable terms in 174 calls.
% 0.20/0.50 ;
% 0.20/0.50 ; The agenda of rows to process has 5 entries:
% 0.20/0.50 ; 3 with value 7 1 with value 10 1 with value 13
% 0.20/0.50 ; The agenda of rows to give has 9 entries:
% 0.20/0.50 ; 1 with value (4 5) 4 with value (4 10) 1 with value (4 12)
% 0.20/0.50 ; 1 with value (4 7) 1 with value (4 11) 1 with value (4 15)
% 0.20/0.50 Evaluation took:
% 0.20/0.50 0.033 seconds of real time
% 0.20/0.50 0.02488 seconds of user run time
% 0.20/0.50 0.007967 seconds of system run time
% 0.20/0.50 0 calls to %EVAL
% 0.20/0.50 0 page faults and
% 0.20/0.50 2,145,128 bytes consed.
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T20:07:43
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 *
%------------------------------------------------------------------------------