%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PUZ026-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of clauses : 31 ( 14 unt; 10 nHn; 29 RR)
% Number of literals : 61 ( 0 equ; 26 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(person_is_one_type,axiom,
( a_truth(truthteller(X))
| a_truth(liar(X))
| a_truth(normal(X)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/PUZ003-0.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/PUZ003-0.ax',liars_lie) ).
cnf(truthtellers_and_normal_tell_truth,axiom,
( ~ a_truth(X)
| ~ a_truth(says(Y,X))
| a_truth(truthteller(Y))
| a_truth(normal(Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ003-0.ax',truthtellers_and_normal_tell_truth) ).
cnf(normal_or_not_normal,axiom,
( a_truth(not_normal(X))
| a_truth(normal(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normal_or_not_normal) ).
cnf(not_two_truthtellers1,axiom,
( ~ people(X,Y,Z)
| ~ a_truth(truthteller(X))
| ~ a_truth(truthteller(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_two_truthtellers1) ).
cnf(not_two_liars1,axiom,
( ~ people(X,Y,Z)
| ~ a_truth(liar(X))
| ~ a_truth(liar(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_two_liars1) ).
cnf(not_two_normal1,axiom,
( ~ people(X,Y,Z)
| ~ a_truth(normal(X))
| ~ a_truth(normal(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_two_normal1) ).
cnf(not_two_normal2,axiom,
( ~ people(X,Y,Z)
| ~ a_truth(normal(X))
| ~ a_truth(normal(Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_two_normal2) ).
cnf(a_b_c_are_people,hypothesis,
people(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_b_c_are_people) ).
cnf(b_c_a_are_people,hypothesis,
people(b,c,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_c_a_are_people) ).
cnf(c_b_a_are_people,hypothesis,
people(c,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_b_a_are_people) ).
cnf(a_says_a_normal,hypothesis,
a_truth(says(a,normal(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_says_a_normal) ).
cnf(b_says_a_normal,hypothesis,
a_truth(says(b,normal(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_says_a_normal) ).
cnf(c_says_c_not_normal,hypothesis,
a_truth(says(c,not_normal(c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_says_c_not_normal) ).
cnf(prove_one_of_each,negated_conjecture,
( ~ a_truth(liar(X))
| ~ a_truth(normal(Y))
| ~ a_truth(truthteller(Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_one_of_each) ).
cnf(24,plain,
( a_truth(liar(a))
| a_truth(normal(a)) ),
inference('HYPERRESOLVE',[status(thm)],[truthtellers_tell_truth,person_is_one_type,a_says_a_normal]) ).
cnf(25,plain,
( a_truth(liar(b))
| a_truth(normal(b))
| a_truth(normal(a)) ),
inference('HYPERRESOLVE',[status(thm)],[truthtellers_tell_truth,person_is_one_type,b_says_a_normal]) ).
cnf(27,plain,
( a_truth(normal(c))
| a_truth(truthteller(c)) ),
inference('HYPERRESOLVE',[status(thm)],[truthtellers_and_normal_tell_truth,normal_or_not_normal,c_says_c_not_normal]) ).
cnf(28,plain,
( a_truth(liar(a))
| a_truth(truthteller(b))
| a_truth(normal(b)) ),
inference('HYPERRESOLVE',[status(thm)],[truthtellers_and_normal_tell_truth,24,b_says_a_normal]) ).
cnf(30,plain,
( a_truth(liar(a))
| a_truth(normal(b))
| a_truth(normal(c)) ),
inference('HYPERRESOLVE',[status(thm)],[not_two_truthtellers1,28,b_c_a_are_people,27]) ).
cnf(32,plain,
( a_truth(liar(a))
| a_truth(normal(b)) ),
inference('HYPERRESOLVE',[status(thm)],[not_two_normal2,30,c_b_a_are_people,24]) ).
cnf(33,plain,
a_truth(liar(a)),
inference('HYPERRESOLVE',[status(thm)],[not_two_normal2,32,b_c_a_are_people,24]) ).
cnf(37,plain,
~ a_truth(liar(b)),
inference('UR-RESOLVE',[status(thm)],[not_two_liars1,33,a_b_c_are_people]) ).
cnf(38,plain,
( a_truth(normal(b))
| a_truth(normal(a)) ),
inference('REWRITE',[status(thm)],[25,37]) ).
cnf(40,plain,
~ a_truth(normal(a)),
inference('UR-RESOLVE',[status(thm)],[liars_lie,33,a_says_a_normal]) ).
cnf(41,plain,
a_truth(normal(b)),
inference('REWRITE',[status(thm)],[38,40]) ).
cnf(49,plain,
~ a_truth(normal(c)),
inference('UR-RESOLVE',[status(thm)],[not_two_normal1,41,b_c_a_are_people]) ).
cnf(50,plain,
a_truth(truthteller(c)),
inference('REWRITE',[status(thm)],[27,49]) ).
cnf(53,plain,
~ a_truth(truthteller(X)),
inference('UR-RESOLVE',[status(thm)],[prove_one_of_each,41,33]) ).
cnf(54,plain,
$false,
inference('REWRITE',[status(thm)],[50,53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : PUZ026-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat May 28 20:04:14 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T20:04:14
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-05-28T20:04:14
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 122 formulas have been input or derived (from 33 formulas).
% 0.19/0.50 ; 54 (44%) were retained. Of these,
% 0.19/0.50 ; 22 (41%) were simplified or subsumed later,
% 0.19/0.50 ; 32 (59%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.005 12% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (23 calls)
% 0.19/0.50 ; 0.002 5% Process new row (104 calls)
% 0.19/0.50 ; 0.003 7% Resolution (64 calls)
% 0.19/0.50 ; 0.002 5% Paramodulation (32 calls)
% 0.19/0.50 ; 0.000 0% Factoring (9 calls)
% 0.19/0.50 ; 0.001 2% Condensing (55 calls)
% 0.19/0.50 ; 0.002 5% Forward subsumption (55 calls)
% 0.19/0.50 ; 0.001 2% Backward subsumption (28 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (42 calls)
% 0.19/0.50 ; 0.000 0% Forward simplification (93 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (54 calls)
% 0.19/0.50 ; 0.001 2% Ordering (29 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.024 59% Other
% 0.19/0.50 ; 0.041 Total
% 0.19/0.50 ; 0.044 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 69 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 9 entries (24 at peak, 28 added, 19 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 22 nodes (84 at peak, 114 added, 92 deleted).
% 0.19/0.50 ; Retrieved 38 possibly forward subsuming rows in 55 calls.
% 0.19/0.50 ; Retrieved 8 possibly backward subsumed rows in 28 calls.
% 0.19/0.50 ; Path-index has 62 entries (72 at peak, 81 added, 19 deleted).
% 0.19/0.50 ; Path-index has 101 nodes (107 at peak, 116 added, 15 deleted).
% 0.19/0.50 ; Trie-index has 62 entries (72 at peak, 81 added, 19 deleted).
% 0.19/0.50 ; Trie-index has 106 nodes (112 at peak, 121 added, 15 deleted).
% 0.19/0.50 ; Retrieved 13 generalization terms in 154 calls.
% 0.19/0.50 ; Retrieved 30 instance terms in 25 calls.
% 0.19/0.50 ; Retrieved 1,505 unifiable terms in 431 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.19/0.50 ; 2 with value 0
% 0.19/0.50 ; The agenda of rows to process has 3 entries:
% 0.19/0.50 ; 1 with value 12 1 with value 14 1 with value 16
% 0.19/0.50 ; The agenda of rows to give has 14 entries:
% 0.19/0.50 ; 4 with value (4 7) 1 with value (4 14) 3 with value (4 17)
% 0.19/0.50 ; 6 with value (4 11)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.045 seconds of real time
% 0.19/0.50 0.040645 seconds of user run time
% 0.19/0.50 0.004222 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 3,906,256 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T20:04:14
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------