TSTP Solution File: PUZ025-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 5 unt; 4 nHn; 14 RR)
% Number of literals : 37 ( 0 equ; 21 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)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',truthteller_or_liar) ).
cnf(truthteller_identifies_truths,axiom,
( ~ ask_1_if_2(X,Y)
| ~ a_truth(truthteller(X))
| ~ a_truth(Y)
| answer(yes) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthteller_identifies_truths) ).
cnf(truthteller_denies_lies,axiom,
( ~ ask_1_if_2(X,Y)
| ~ a_truth(truthteller(X))
| a_truth(Y)
| answer(no) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthteller_denies_lies) ).
cnf(liar_denies_truths,axiom,
( ~ ask_1_if_2(X,Y)
| ~ a_truth(liar(X))
| ~ a_truth(Y)
| answer(no) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liar_denies_truths) ).
cnf(liar_supports_lies,axiom,
( ~ ask_1_if_2(X,Y)
| ~ a_truth(liar(X))
| a_truth(Y)
| answer(yes) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liar_supports_lies) ).
cnf(ask_c_if_a_and_b_equal,hypothesis,
ask_1_if_2(c,equal_type(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ask_c_if_a_and_b_equal) ).
cnf(prove_there_is_an_answer,negated_conjecture,
~ answer(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_an_answer) ).
cnf(25,plain,
( ~ ask_1_if_2(X,Y)
| ~ a_truth(truthteller(X))
| ~ a_truth(Y) ),
inference('REWRITE',[status(thm)],[truthteller_identifies_truths,prove_there_is_an_answer]) ).
cnf(26,plain,
( ~ ask_1_if_2(X,Y)
| ~ a_truth(liar(X))
| a_truth(Y) ),
inference('REWRITE',[status(thm)],[liar_supports_lies,prove_there_is_an_answer]) ).
cnf(27,plain,
( ~ ask_1_if_2(X,Y)
| ~ a_truth(truthteller(X))
| a_truth(Y) ),
inference('REWRITE',[status(thm)],[truthteller_denies_lies,prove_there_is_an_answer]) ).
cnf(28,plain,
( ~ ask_1_if_2(X,Y)
| ~ a_truth(liar(X))
| ~ a_truth(Y) ),
inference('REWRITE',[status(thm)],[liar_denies_truths,prove_there_is_an_answer]) ).
cnf(29,plain,
( a_truth(liar(c))
| a_truth(equal_type(a,b)) ),
inference('HYPERRESOLVE',[status(thm)],[27,ask_c_if_a_and_b_equal,truthteller_or_liar]) ).
cnf(32,plain,
a_truth(liar(c)),
inference('HYPERRESOLVE',[status(thm)],[25,29,ask_c_if_a_and_b_equal,truthteller_or_liar]) ).
cnf(34,plain,
a_truth(equal_type(a,b)),
inference('HYPERRESOLVE',[status(thm)],[26,32,ask_c_if_a_and_b_equal]) ).
cnf(36,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[28,32,ask_c_if_a_and_b_equal]),34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.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
% 0.12/0.34 % DateTime : Sat May 28 23:05:24 EDT 2022
% 0.18/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T23:05:24
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-28T23:05:24
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 51 formulas have been input or derived (from 27 formulas).
% 0.18/0.50 ; 36 (71%) were retained. Of these,
% 0.18/0.50 ; 5 (14%) were simplified or subsumed later,
% 0.18/0.50 ; 31 (86%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.005 14% Read assertion file (1 call)
% 0.18/0.50 ; 0.000 0% Assert (24 calls)
% 0.18/0.50 ; 0.004 11% Process new row (44 calls)
% 0.18/0.50 ; 0.001 3% Resolution (52 calls)
% 0.18/0.50 ; 0.000 0% Paramodulation (26 calls)
% 0.18/0.50 ; 0.000 0% Factoring (2 calls)
% 0.18/0.50 ; 0.000 0% Condensing (29 calls)
% 0.18/0.50 ; 0.001 3% Forward subsumption (29 calls)
% 0.18/0.50 ; 0.000 0% Backward subsumption (24 calls)
% 0.18/0.50 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.18/0.50 ; 0.000 0% Forward simplification (42 calls)
% 0.18/0.50 ; 0.000 0% Backward simplification (36 calls)
% 0.18/0.50 ; 0.000 0% Ordering (8 calls)
% 0.18/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.000 0% Purity testing (1 call)
% 0.18/0.50 ; 0.024 69% Other
% 0.18/0.50 ; 0.035 Total
% 0.18/0.50 ; 0.036 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 41 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 19 entries (20 at peak, 24 added, 5 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 60 nodes (60 at peak, 75 added, 15 deleted).
% 0.18/0.50 ; Retrieved 7 possibly forward subsuming rows in 29 calls.
% 0.18/0.50 ; Retrieved 1 possibly backward subsumed row in 24 calls.
% 0.18/0.50 ; Path-index has 42 entries (42 at peak, 48 added, 6 deleted).
% 0.18/0.50 ; Path-index has 89 nodes (89 at peak, 97 added, 8 deleted).
% 0.18/0.50 ; Trie-index has 42 entries (42 at peak, 48 added, 6 deleted).
% 0.18/0.50 ; Trie-index has 74 nodes (74 at peak, 82 added, 8 deleted).
% 0.18/0.50 ; Retrieved 2 generalization terms in 42 calls.
% 0.18/0.50 ; Retrieved 13 instance terms in 11 calls.
% 0.18/0.50 ; Retrieved 673 unifiable terms in 236 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of rows to process has 6 entries:
% 0.18/0.50 ; 2 with value 9 1 with value 13 1 with value 15
% 0.18/0.50 ; 1 with value 11 1 with value 14
% 0.18/0.50 ; The agenda of rows to give has 5 entries:
% 0.18/0.50 ; 1 with value (4 8) 1 with value (4 12) 1 with value (4 17)
% 0.18/0.50 ; 2 with value (4 9)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.036 seconds of real time
% 0.18/0.50 0.032692 seconds of user run time
% 0.18/0.50 0.003968 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 2,628,904 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T23:05:24
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------