TSTP Solution File: SWV547-1.004 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV547-1.004 : TPTP v8.1.0. Released v4.0.0.
% 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 : Wed Jul 20 21:35:03 EDT 2022
% Result : Unsatisfiable 3.92s 4.14s
% Output : Refutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 27
% Syntax : Number of clauses : 54 ( 54 unt; 0 nHn; 48 RR)
% Number of literals : 54 ( 53 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 29 con; 0-3 aty)
% Number of variables : 12 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a1,axiom,
select(store(X,Y,Z),Y) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
cnf(a3,axiom,
store(store(X,Y,select(X,Z)),Z,select(X,Y)) = store(store(X,Z,select(X,Y)),Y,select(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
cnf(hyp2,hypothesis,
a_469 = store(a_467,i0,e_468),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
cnf(hyp3,hypothesis,
a_471 = store(a_469,i3,e_470),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
cnf(hyp4,hypothesis,
a_473 = store(a_471,i3,e_472),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
cnf(hyp5,hypothesis,
a_475 = store(a_473,i2,e_474),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
cnf(hyp6,hypothesis,
a_477 = store(a_475,i2,e_476),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
cnf(hyp7,hypothesis,
a_479 = store(a_477,i0,e_478),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
cnf(hyp8,hypothesis,
a_480 = store(a_467,i3,e_470),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
cnf(hyp9,hypothesis,
a_481 = store(a_480,i0,e_468),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
cnf(hyp10,hypothesis,
a_483 = store(a_481,i3,e_482),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
cnf(hyp11,hypothesis,
a_485 = store(a_483,i2,e_484),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
cnf(hyp12,hypothesis,
a_487 = store(a_485,i0,e_486),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
cnf(hyp13,hypothesis,
a_489 = store(a_487,i2,e_488),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
cnf(hyp15,hypothesis,
e_468 = select(a_467,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
cnf(hyp16,hypothesis,
e_470 = select(a_467,i0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
cnf(hyp17,hypothesis,
e_472 = select(a_471,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
cnf(hyp18,hypothesis,
e_474 = select(a_471,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
cnf(hyp19,hypothesis,
e_476 = select(a_475,i0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
cnf(hyp20,hypothesis,
e_478 = select(a_475,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
cnf(hyp21,hypothesis,
e_482 = select(a_481,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
cnf(hyp22,hypothesis,
e_484 = select(a_481,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
cnf(hyp23,hypothesis,
e_486 = select(a_485,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
cnf(hyp24,hypothesis,
e_488 = select(a_485,i0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
cnf(hyp25,hypothesis,
e_491 = select(a_479,i_490),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).
cnf(hyp26,hypothesis,
e_492 = select(a_489,i_490),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).
cnf(goal,negated_conjecture,
e_491 != e_492,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(35,plain,
e_486 = e_484,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1,hyp11,theory(equality)]),hyp23,theory(equality)]) ).
cnf(36,plain,
a_487 = store(a_485,i0,e_484),
inference('REWRITE',[status(thm)],[hyp12,35,theory(equality)]) ).
cnf(42,plain,
e_478 = e_474,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1,hyp5,theory(equality)]),hyp20,theory(equality)]) ).
cnf(43,plain,
a_479 = store(a_477,i0,e_474),
inference('REWRITE',[status(thm)],[hyp7,42,theory(equality)]) ).
cnf(44,plain,
e_474 = select(a_475,i2),
inference('REWRITE',[status(thm)],[hyp20,42,theory(equality)]) ).
cnf(47,plain,
e_474 = e_470,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1,hyp3,theory(equality)]),hyp18,theory(equality)]) ).
cnf(48,plain,
a_475 = store(a_473,i2,e_470),
inference('REWRITE',[status(thm)],[hyp5,47,theory(equality)]) ).
cnf(51,plain,
a_479 = store(a_477,i0,e_470),
inference('REWRITE',[status(thm)],[43,47,theory(equality)]) ).
cnf(52,plain,
e_470 = select(a_475,i2),
inference('REWRITE',[status(thm)],[44,47,theory(equality)]) ).
cnf(75,plain,
select(store(store(X,Y,select(X,Z)),Z,select(X,Y)),Y) = select(X,Z),
inference('PARAMODULATE',[status(thm)],[a1,a3,theory(equality)]) ).
cnf(81,plain,
store(store(a_475,X,e_470),i2,select(a_475,X)) = store(store(a_475,i2,select(a_475,X)),X,e_470),
inference('PARAMODULATE',[status(thm)],[a3,52,theory(equality)]) ).
cnf(82,plain,
store(store(a_467,X,e_468),i3,select(a_467,X)) = store(store(a_467,i3,select(a_467,X)),X,e_468),
inference('PARAMODULATE',[status(thm)],[a3,hyp15,theory(equality)]) ).
cnf(789,plain,
select(store(store(a_467,X,e_470),i0,select(a_467,X)),X) = e_470,
inference('PARAMODULATE',[status(thm)],[75,hyp16,theory(equality)]) ).
cnf(1593,plain,
e_484 = e_470,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[789,hyp8,theory(equality)]),hyp22,hyp9,hyp15,theory(equality)]) ).
cnf(1594,plain,
a_485 = store(a_483,i2,e_470),
inference('REWRITE',[status(thm)],[hyp11,1593,theory(equality)]) ).
cnf(1597,plain,
a_487 = store(a_485,i0,e_470),
inference('REWRITE',[status(thm)],[36,1593,theory(equality)]) ).
cnf(2588,plain,
store(store(a_475,i0,e_470),i2,e_476) = a_479,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[81,hyp19,theory(equality)]),51,hyp6,theory(equality)]) ).
cnf(2648,plain,
a_471 = a_481,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[82,hyp16,theory(equality)]),hyp9,hyp8,hyp3,hyp2,theory(equality)]) ).
cnf(2650,plain,
a_483 = store(a_471,i3,e_482),
inference('REWRITE',[status(thm)],[hyp10,2648,theory(equality)]) ).
cnf(2651,plain,
e_472 = e_482,
inference('REWRITE',[status(thm)],[hyp21,hyp17,2648,theory(equality)]) ).
cnf(2897,plain,
a_483 = a_473,
inference('REWRITE',[status(thm)],[2650,hyp4,2651,theory(equality)]) ).
cnf(2921,plain,
a_485 = a_475,
inference('REWRITE',[status(thm)],[1594,48,2897,theory(equality)]) ).
cnf(2922,plain,
e_488 = e_476,
inference('REWRITE',[status(thm)],[hyp24,hyp19,2921,theory(equality)]) ).
cnf(2923,plain,
a_489 = store(a_487,i2,e_476),
inference('REWRITE',[status(thm)],[hyp13,2922,theory(equality)]) ).
cnf(2977,plain,
a_487 = store(a_475,i0,e_470),
inference('REWRITE',[status(thm)],[1597,2921,theory(equality)]) ).
cnf(2983,plain,
a_489 = a_479,
inference('REWRITE',[status(thm)],[2588,2923,2977,theory(equality)]) ).
cnf(2984,plain,
$false,
inference('REWRITE',[status(thm)],[hyp26,goal,hyp25,2983,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SWV547-1.004 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11 % Command : run-snark %s %d
% 0.10/0.31 % Computer : n027.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Tue Jun 14 17:05:18 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.41 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 *
% 0.15/0.42 *
% 0.15/0.42 #<PACKAGE "SNARK-USER">
% 0.15/0.42 *
% 0.15/0.43 SNARK-TPTP-OPTIONS
% 0.15/0.43 *
% 0.15/0.43 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.43 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.43 (USE-FACTORING :POS)
% 0.15/0.43 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.43 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.43 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.43 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.43 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.43 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.43 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.43 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.43 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.43 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.43 *
% 0.15/0.43 "."
% 0.15/0.43 *
% 0.15/0.43 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T17:05:18
% 0.15/0.43 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-14T17:05:18
% 3.92/4.14
% 3.92/4.14
% 3.92/4.14 #||
% 3.92/4.14 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.92/4.14 % SZS output start Refutation
% See solution above
% 3.92/4.15 ||#
% 3.92/4.15
% 3.92/4.15 ; Summary of computation:
% 3.92/4.15 ; 10718 formulas have been input or derived (from 540 formulas).
% 3.92/4.15 ; 2984 (28%) were retained. Of these,
% 3.92/4.15 ; 2429 (81%) were simplified or subsumed later,
% 3.92/4.15 ; 555 (19%) are still being kept.
% 3.92/4.15 ;
% 3.92/4.15 ; Run time in seconds excluding printing time:
% 3.92/4.15 ; 0.003 0% Read assertion file (1 call)
% 3.92/4.15 ; 0.001 0% Assert (32 calls)
% 3.92/4.15 ; 0.415 11% Process new row (10,037 calls)
% 3.92/4.15 ; 0.023 1% Resolution (1,078 calls)
% 3.92/4.15 ; 0.323 9% Paramodulation (539 calls)
% 3.92/4.15 ; 0.005 0% Factoring (387 calls)
% 3.92/4.15 ; 0.046 1% Condensing (5,926 calls)
% 3.92/4.15 ; 1.508 41% Forward subsumption (5,926 calls)
% 3.92/4.15 ; 0.290 8% Backward subsumption (2,517 calls)
% 3.92/4.15 ; 0.062 2% Clause clause subsumption (7,161 calls)
% 3.92/4.15 ; 0.460 12% Forward simplification (10,009 calls)
% 3.92/4.15 ; 0.274 7% Backward simplification (2,984 calls)
% 3.92/4.15 ; 0.209 6% Ordering (76,751 calls)
% 3.92/4.15 ; 0.001 0% Sortal reasoning (32 calls)
% 3.92/4.15 ; 0.000 0% Purity testing (1 call)
% 3.92/4.15 ; 0.096 3% Other
% 3.92/4.15 ; 3.716 Total
% 3.92/4.15 ; 3.722 Real time
% 3.92/4.15 ;
% 3.92/4.15 ; Term-hash-array has 3,277 terms in all.
% 3.92/4.15 ; Feature-vector-row-index has 369 entries (1,548 at peak, 2,517 added, 2,148 deleted).
% 3.92/4.15 ; Feature-vector-row-index has 4,630 nodes (17,732 at peak, 26,557 added, 21,927 deleted).
% 3.92/4.15 ; Retrieved 18,590 possibly forward subsuming rows in 5,926 calls.
% 3.92/4.15 ; Retrieved 717 possibly backward subsumed rows in 2,517 calls.
% 3.92/4.15 ; Path-index has 1,594 entries (2,595 at peak, 3,397 added, 1,803 deleted).
% 3.92/4.15 ; Path-index has 1,315 nodes (1,576 at peak, 2,411 added, 1,096 deleted).
% 3.92/4.15 ; Trie-index has 1,594 entries (2,595 at peak, 3,397 added, 1,803 deleted).
% 3.92/4.15 ; Trie-index has 11,707 nodes (18,122 at peak, 25,431 added, 13,724 deleted).
% 3.92/4.15 ; Retrieved 5,810 generalization terms in 52,845 calls.
% 3.92/4.15 ; Retrieved 468 instance terms in 467 calls.
% 3.92/4.15 ; Retrieved 4,037 unifiable terms in 3,588 calls.
% 3.92/4.15 ;
% 3.92/4.15 ; The agenda of backward simplifiable rows to process has 532 entries:
% 3.92/4.15 ; 532 with value 0
% 3.92/4.15 ; The agenda of rows to process has 12 entries:
% 3.92/4.15 ; 1 with value 20 1 with value 29 1 with value 35
% 3.92/4.15 ; 1 with value 24 3 with value 30 2 with value 36
% 3.92/4.15 ; 2 with value 26 1 with value 32
% 3.92/4.15 ; The agenda of input rows to give has 6 entries:
% 3.92/4.15 ; 4 with value 4 2 with value 8
% 3.92/4.15 ; The agenda of rows to give has 415 entries:
% 3.92/4.15 ; 2 with value (4 6) 35 with value (4 30) 1 with value (4 45)
% 3.92/4.15 ; 1 with value (4 13) 22 with value (4 31) 1 with value (4 46)
% 3.92/4.15 ; 1 with value (4 14) 27 with value (4 32) 8 with value (4 48)
% 3.92/4.15 ; 1 with value (4 18) 27 with value (4 33) 2 with value (4 49)
% 3.92/4.15 ; 2 with value (4 19) 15 with value (4 34) 5 with value (4 53)
% 3.92/4.15 ; 1 with value (4 22) 18 with value (4 35) 5 with value (4 54)
% 3.92/4.15 ; 1 with value (4 23) 14 with value (4 36) 4 with value (4 55)
% 3.92/4.15 ; 34 with value (4 24) 13 with value (4 37) 7 with value (4 57)
% 3.92/4.15 ; 13 with value (4 25) 20 with value (4 38) 2 with value (4 58)
% 3.92/4.15 ; 12 with value (4 26) 9 with value (4 39) 16 with value (4 60)
% 3.92/4.15 ; 24 with value (4 27) 12 with value (4 40) 3 with value (4 62)
% 3.92/4.15 ; 31 with value (4 28) 2 with value (4 42) 1 with value (4 72)
% 3.92/4.15 ; 23 with value (4 29)
% 3.92/4.15 Evaluation took:
% 3.92/4.15 3.723 seconds of real time
% 3.92/4.15 3.420975 seconds of user run time
% 3.92/4.15 0.30138 seconds of system run time
% 3.92/4.15 [Run times include 0.28 seconds GC run time.]
% 3.92/4.15 0 calls to %EVAL
% 3.92/4.15 0 page faults and
% 3.92/4.15 212,086,120 bytes consed.
% 3.92/4.15 :PROOF-FOUND
% 3.92/4.15 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T17:05:22
% 3.92/4.15 :PROOF-FOUND
% 3.92/4.15 *
%------------------------------------------------------------------------------