TSTP Solution File: PUZ056-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PUZ056-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 18:26:49 EDT 2022
% Result : Unsatisfiable 0.42s 0.60s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 27 unt; 0 nHn; 9 RR)
% Number of literals : 30 ( 14 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 41 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(initial_state,axiom,
state(nextto(on(small,on(medium,on(large,pin(n1)))),nextto(pin(n2),pin(n3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state) ).
cnf(final_state,negated_conjecture,
~ state(nextto(pin(n1),nextto(pin(n2),on(small,on(medium,on(large,pin(n3))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',final_state) ).
cnf(a_move,axiom,
( nextto(on(X,Y),Z) = nextto(Y,on(X,Z))
| ~ fits(X,Z)
| ~ fits(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_move) ).
cnf(fits_1,axiom,
fits(small,pin(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fits_1) ).
cnf(fits_2,axiom,
fits(medium,pin(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fits_2) ).
cnf(fits_3,axiom,
fits(large,pin(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fits_3) ).
cnf(fits_4,axiom,
fits(small,on(medium,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fits_4) ).
cnf(fits_5,axiom,
fits(medium,on(large,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fits_5) ).
cnf(fits_6,axiom,
fits(small,on(large,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fits_6) ).
cnf(10,plain,
nextto(on(small,pin(X)),pin(Y)) = nextto(pin(X),on(small,pin(Y))),
inference('HYPERRESOLVE',[status(thm)],[a_move,fits_1,fits_1]) ).
cnf(12,plain,
nextto(on(medium,pin(X)),pin(Y)) = nextto(pin(X),on(medium,pin(Y))),
inference('HYPERRESOLVE',[status(thm)],[a_move,fits_2,fits_2]) ).
cnf(13,plain,
nextto(on(medium,pin(X)),nextto(pin(Y),Z)) = nextto(pin(X),nextto(on(medium,pin(Y)),Z)),
inference('EMBED',[status(thm)],[12]) ).
cnf(14,plain,
nextto(on(large,pin(X)),pin(Y)) = nextto(pin(X),on(large,pin(Y))),
inference('HYPERRESOLVE',[status(thm)],[a_move,fits_3,fits_3]) ).
cnf(15,plain,
nextto(on(large,pin(X)),nextto(pin(Y),Z)) = nextto(pin(X),nextto(on(large,pin(Y)),Z)),
inference('EMBED',[status(thm)],[14]) ).
cnf(16,plain,
nextto(on(small,on(medium,X)),pin(Y)) = nextto(on(medium,X),on(small,pin(Y))),
inference('HYPERRESOLVE',[status(thm)],[a_move,fits_1,fits_4]) ).
cnf(17,plain,
nextto(on(small,on(medium,X)),nextto(pin(Y),Z)) = nextto(on(medium,X),nextto(on(small,pin(Y)),Z)),
inference('EMBED',[status(thm)],[16]) ).
cnf(18,plain,
~ state(nextto(on(medium,on(large,pin(n3))),nextto(pin(n2),on(small,pin(n1))))),
inference('REWRITE',[status(thm)],[final_state,10,16,theory(equality)]) ).
cnf(19,plain,
state(nextto(on(medium,on(large,pin(n1))),nextto(pin(n3),on(small,pin(n2))))),
inference('REWRITE',[status(thm)],[initial_state,10,16,theory(equality)]) ).
cnf(20,plain,
nextto(on(small,on(large,X)),pin(Y)) = nextto(on(large,X),on(small,pin(Y))),
inference('HYPERRESOLVE',[status(thm)],[a_move,fits_1,fits_6]) ).
cnf(21,plain,
nextto(on(small,on(large,X)),nextto(pin(Y),Z)) = nextto(on(large,X),nextto(on(small,pin(Y)),Z)),
inference('EMBED',[status(thm)],[20]) ).
cnf(22,plain,
nextto(on(medium,on(large,X)),pin(Y)) = nextto(on(large,X),on(medium,pin(Y))),
inference('HYPERRESOLVE',[status(thm)],[a_move,fits_2,fits_5]) ).
cnf(24,plain,
state(nextto(on(small,pin(n2)),nextto(on(large,pin(n1)),on(medium,pin(n3))))),
inference('REWRITE',[status(thm)],[19,22,theory(equality)]) ).
cnf(25,plain,
~ state(nextto(on(small,pin(n1)),nextto(on(large,pin(n3)),on(medium,pin(n2))))),
inference('REWRITE',[status(thm)],[18,22,theory(equality)]) ).
cnf(28,plain,
nextto(on(small,on(large,X)),on(medium,Y)) = nextto(on(large,X),on(small,on(medium,Y))),
inference('HYPERRESOLVE',[status(thm)],[a_move,fits_4,fits_6]) ).
cnf(76,plain,
nextto(on(medium,X),nextto(on(small,pin(Y)),on(large,pin(Z)))) = nextto(pin(Z),nextto(on(large,pin(Y)),on(small,on(medium,X)))),
inference('PARAMODULATE',[status(thm)],[15,17,theory(equality)]) ).
cnf(92,plain,
~ state(nextto(on(medium,pin(n2)),nextto(on(small,pin(n3)),on(large,pin(n1))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[25,21,theory(equality)]),76,28,theory(equality)]) ).
cnf(105,plain,
nextto(on(large,X),nextto(on(small,pin(Y)),on(medium,pin(Z)))) = nextto(pin(Z),nextto(on(medium,pin(Y)),on(small,on(large,X)))),
inference('PARAMODULATE',[status(thm)],[13,21,theory(equality)]) ).
cnf(129,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[92,21,theory(equality)]),24,105,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : PUZ056-1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.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 : Sun May 29 03:42:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T03:42:03
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-05-29T03:42:03
% 0.19/0.47
% 0.19/0.47 ; Recognized commutativity assertion (= (|nextto| ?X ?Y) (|nextto| ?Y ?X)).
% 0.19/0.47 ; Recognized associativity assertion (= (|nextto| ?X (|nextto| ?Y ?Z)) (|nextto| (|nextto| ?X ?Y) ?Z)).
% 0.19/0.47 ; Declaring nextto to be commutative.
% 0.42/0.60 ; Declaring nextto to be associative-commutative.
% 0.42/0.60
% 0.42/0.60 #||
% 0.42/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.60 % SZS output start Refutation
% See solution above
% 0.42/0.60 ||#
% 0.42/0.60
% 0.42/0.60 ; Summary of computation:
% 0.42/0.60 ; 248 formulas have been input or derived (from 23 formulas).
% 0.42/0.60 ; 129 (52%) were retained. Of these,
% 0.42/0.60 ; 4 ( 3%) were simplified or subsumed later,
% 0.42/0.60 ; 125 (97%) are still being kept.
% 0.42/0.60 ;
% 0.42/0.60 ; Run time in seconds excluding printing time:
% 0.42/0.60 ; 0.002 1% Read assertion file (1 call)
% 0.42/0.60 ; 0.000 0% Assert (11 calls)
% 0.42/0.60 ; 0.018 12% Process new row (245 calls)
% 0.42/0.60 ; 0.001 1% Resolution (44 calls)
% 0.42/0.60 ; 0.011 8% Paramodulation (22 calls)
% 0.42/0.60 ; 0.000 0% Embedding (57 calls)
% 0.42/0.60 ; 0.000 0% Condensing (1 call)
% 0.42/0.60 ; 0.001 1% Forward subsumption (1 call)
% 0.42/0.60 ; 0.000 0% Backward subsumption (1 call)
% 0.42/0.60 ; 0.031 21% Forward simplification (188 calls)
% 0.42/0.60 ; 0.014 10% Backward simplification (72 calls)
% 0.42/0.60 ; 0.003 2% Ordering (1,344 calls)
% 0.42/0.60 ; 0.038 26% Ordering ac (1,274 calls)
% 0.42/0.60 ; 0.001 1% Sortal reasoning (32 calls)
% 0.42/0.60 ; 0.000 0% Purity testing (1 call)
% 0.42/0.60 ; 0.025 17% Other
% 0.42/0.60 ; 0.145 Total
% 0.42/0.60 ; 0.147 Real time
% 0.42/0.60 ;
% 0.42/0.60 ; Term-hash-array has 407 terms in all.
% 0.42/0.60 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.42/0.60 ; Feature-vector-row-index has 8 nodes (8 at peak, 8 added, 0 deleted).
% 0.42/0.60 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.42/0.60 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.42/0.60 ; Path-index has 401 entries (401 at peak, 433 added, 32 deleted).
% 0.42/0.60 ; Path-index has 126 nodes (130 at peak, 180 added, 54 deleted).
% 0.42/0.60 ; Trie-index has 401 entries (401 at peak, 433 added, 32 deleted).
% 0.42/0.60 ; Trie-index has 71 nodes (71 at peak, 106 added, 35 deleted).
% 0.42/0.60 ; Retrieved 6,475 generalization terms in 299 calls.
% 0.42/0.60 ; Retrieved 1,148 instance terms in 153 calls.
% 0.42/0.60 ; Retrieved 1,855 unifiable terms in 205 calls.
% 0.42/0.60 ;
% 0.42/0.60 ; The agenda of rows to process has 1 entry:
% 0.42/0.60 ; 1 with value 23
% 0.42/0.60 ; The agenda of rows to give has 104 entries:
% 0.42/0.60 ; 2 with value (4 22) 18 with value (4 31) 12 with value (4 37)
% 0.42/0.60 ; 8 with value (4 24) 4 with value (4 32) 12 with value (4 39)
% 0.42/0.60 ; 6 with value (4 27) 16 with value (4 33) 12 with value (4 41)
% 0.42/0.60 ; 8 with value (4 29) 6 with value (4 35)
% 0.42/0.60 Evaluation took:
% 0.42/0.60 0.148 seconds of real time
% 0.42/0.60 0.12984 seconds of user run time
% 0.42/0.60 0.017942 seconds of system run time
% 0.42/0.60 0 calls to %EVAL
% 0.42/0.60 0 page faults and
% 0.42/0.60 9,480,040 bytes consed.
% 0.42/0.60 :PROOF-FOUND
% 0.42/0.60 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T03:42:03
% 0.42/0.60 :PROOF-FOUND
% 0.42/0.60 *
%------------------------------------------------------------------------------