TSTP Solution File: LCL018-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL018-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 : Sun Jul 17 14:19:36 EDT 2022
% Result : Unsatisfiable 47.96s 48.14s
% Output : Refutation 47.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of clauses : 43 ( 42 unt; 0 nHn; 5 RR)
% Number of literals : 45 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 158 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(pym,axiom,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),Y),equivalent(Z,X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pym) ).
cnf(prove_pyo,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_pyo) ).
cnf(4,plain,
is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(Z,Y),X),Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,pym,pym]) ).
cnf(6,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),Y),equivalent(Z,X)),equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_pyo,pym]) ).
cnf(7,plain,
is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(Y,X),equivalent(equivalent(equivalent(Z,equivalent(U,V)),U),equivalent(V,Z))),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,pym]) ).
cnf(8,plain,
is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(Y,X),equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(V,U),Z),V)))),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,4]) ).
cnf(13,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,equivalent(Z,U)),Z),equivalent(U,Y))),equivalent(equivalent(equivalent(V,equivalent(W,X1)),W),equivalent(X1,V))),X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,pym]) ).
cnf(14,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(U,Z),Y),U)))),equivalent(equivalent(equivalent(V,equivalent(W,X1)),W),equivalent(X1,V))),X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,4]) ).
cnf(62,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),Y),equivalent(Z,X)),equivalent(equivalent(equivalent(U,equivalent(V,W)),V),equivalent(W,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,13]) ).
cnf(63,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(equivalent(Z,equivalent(U,V)),U),equivalent(V,Z)),equivalent(equivalent(Y,equivalent(W,X)),W)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,pym]) ).
cnf(64,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(Y,equivalent(Z,X)),Z),equivalent(equivalent(equivalent(U,equivalent(V,W)),V),equivalent(W,U))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,pym]) ).
cnf(86,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,equivalent(U,X)),U))),Z)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,62,13]) ).
cnf(101,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),Y),equivalent(Z,X)),equivalent(U,equivalent(V,equivalent(equivalent(equivalent(W,V),U),W))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,86,8]) ).
cnf(167,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,X),Z),Y)),equivalent(U,Z)),U)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,64,86]) ).
cnf(169,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,X),Z),Y)),equivalent(U,Z)),U),equivalent(equivalent(equivalent(V,equivalent(W,X1)),W),equivalent(X1,V)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,64,4]) ).
cnf(192,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(Z,Y),X),Z))),equivalent(equivalent(equivalent(U,equivalent(V,W)),V),equivalent(W,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,167,7]) ).
cnf(196,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(Z,equivalent(U,V)),U),equivalent(V,Z))),X),equivalent(W,Y)),W)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,167,64]) ).
cnf(316,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,equivalent(Z,U)),Z),equivalent(U,Y))),V),X),V)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,192,pym]) ).
cnf(679,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(V,U),Z),V))),equivalent(equivalent(Y,equivalent(W,X)),W)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,pym]) ).
cnf(1151,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,equivalent(equivalent(X,equivalent(equivalent(Z,equivalent(U,V)),U)),equivalent(V,Z)))),Y)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,169,196]) ).
cnf(1180,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),Y),Z),equivalent(U,X)),U)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1151,64]) ).
cnf(1235,plain,
is_a_theorem(equivalent(X,equivalent(equivalent(Y,X),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1180,316]) ).
cnf(1290,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,equivalent(equivalent(Z,Y),Z))),X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1235,1235]) ).
cnf(1476,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),X),Y)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1290,pym]) ).
cnf(1477,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Y,equivalent(Z,X)),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1290,63]) ).
cnf(1478,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),X),equivalent(Z,Y)),Z)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1290,pym]) ).
cnf(1479,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,X),Z),Y)),Z)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1290,679]) ).
cnf(1589,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),X),equivalent(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1477,167]) ).
cnf(1646,plain,
is_a_theorem(equivalent(X,equivalent(Y,equivalent(X,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1478,1477]) ).
cnf(1703,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,X)),equivalent(Z,Y)),Z)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1646,1477]) ).
cnf(2111,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),Y),X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1479,1476]) ).
cnf(2158,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,equivalent(equivalent(X,Z),Z))),Y)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2111,1477]) ).
cnf(2413,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(Z,X),Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1589,167]) ).
cnf(2416,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),Z),X),Z),Y)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1589,101]) ).
cnf(2801,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(Y,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1703,1589]) ).
cnf(2868,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Z,equivalent(Y,X))),Z)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2801,1477]) ).
cnf(3035,plain,
~ is_a_theorem(equivalent(b,equivalent(a,equivalent(equivalent(a,equivalent(b,c)),c)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,2413,6]) ).
cnf(4481,plain,
is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(Z,X)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2416,pym]) ).
cnf(5879,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Y),Z),equivalent(Z,X))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4481,2158]) ).
cnf(9764,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(Z,equivalent(Y,X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2868,4481]) ).
cnf(17079,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),Z),X),Y)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5879,2413]) ).
cnf(20783,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[condensed_detachment,9764,3035]),17079]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL018-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 2 20:15:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T20:15:10
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-02T20:15:10
% 47.96/48.14
% 47.96/48.14
% 47.96/48.14 #||
% 47.96/48.14 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.96/48.14 % SZS output start Refutation
% See solution above
% 47.96/48.16 ||#
% 47.96/48.16
% 47.96/48.16 ; Summary of computation:
% 47.96/48.16 ; 54756 formulas have been input or derived (from 225 formulas).
% 47.96/48.16 ; 20783 (38%) were retained. Of these,
% 47.96/48.16 ; 20783 (100%) are still being kept.
% 47.96/48.16 ;
% 47.96/48.16 ; Run time in seconds excluding printing time:
% 47.96/48.16 ; 0.001 0% Read assertion file (1 call)
% 47.96/48.16 ; 0.000 0% Assert (3 calls)
% 47.96/48.16 ; 3.145 7% Process new row (51,700 calls)
% 47.96/48.16 ; 34.003 71% Resolution (448 calls)
% 47.96/48.16 ; 0.733 2% Paramodulation (224 calls)
% 47.96/48.16 ; 0.000 0% Condensing (1 call)
% 47.96/48.16 ; 0.000 0% Forward subsumption (1 call)
% 47.96/48.16 ; 0.000 0% Backward subsumption (1 call)
% 47.96/48.16 ; 2.329 5% Forward simplification (51,700 calls)
% 47.96/48.16 ; 7.219 15% Backward simplification (20,783 calls)
% 47.96/48.16 ; 0.000 0% Sortal reasoning (32 calls)
% 47.96/48.16 ; 0.000 0% Purity testing (1 call)
% 47.96/48.16 ; 0.239 1% Other
% 47.96/48.16 ; 47.669 Total
% 47.96/48.16 ; 47.692 Real time
% 47.96/48.16 ;
% 47.96/48.16 ; Term-hash-array has 58,522 terms in all.
% 47.96/48.16 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 47.96/48.16 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 47.96/48.16 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 47.96/48.16 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 47.96/48.16 ; Path-index has 58,525 entries (58,525 at peak, 58,525 added, 0 deleted).
% 47.96/48.16 ; Path-index has 12,926 nodes (12,926 at peak, 12,926 added, 0 deleted).
% 47.96/48.16 ; Trie-index has 58,525 entries (58,525 at peak, 58,525 added, 0 deleted).
% 47.96/48.16 ; Trie-index has 166,946 nodes (166,946 at peak, 166,946 added, 0 deleted).
% 47.96/48.16 ; Retrieved 1,547,033 generalization terms in 51,698 calls.
% 47.96/48.16 ; Retrieved 1,799,349 instance terms in 20,781 calls.
% 47.96/48.16 ; Retrieved 74,842,592 unifiable terms in 28,440 calls.
% 47.96/48.16 ;
% 47.96/48.16 ; The agenda of rows to process has 378 entries:
% 47.96/48.16 ; 28 with value 36 7 with value 48 1 with value 57
% 47.96/48.16 ; 30 with value 39 19 with value 49 1 with value 58
% 47.96/48.16 ; 84 with value 40 12 with value 50 4 with value 59
% 47.96/48.16 ; 22 with value 41 9 with value 51 1 with value 60
% 47.96/48.16 ; 24 with value 43 1 with value 52 1 with value 61
% 47.96/48.16 ; 22 with value 44 12 with value 53 3 with value 62
% 47.96/48.16 ; 37 with value 45 21 with value 54 1 with value 66
% 47.96/48.16 ; 17 with value 46 6 with value 55 3 with value 67
% 47.96/48.16 ; 10 with value 47 1 with value 56 1 with value 68
% 47.96/48.16 ; The agenda of rows to give has 20558 entries:
% 47.96/48.16 ; 23 with value (4 33) 455 with value (4 47) 436 with value (4 60)
% 47.96/48.16 ; 122 with value (4 34) 367 with value (4 48) 433 with value (4 61)
% 47.96/48.16 ; 117 with value (4 35) 252 with value (4 49) 246 with value (4 62)
% 47.96/48.16 ; 45 with value (4 36) 299 with value (4 50) 277 with value (4 63)
% 47.96/48.16 ; 108 with value (4 37) 424 with value (4 51) 310 with value (4 64)
% 47.96/48.16 ; 502 with value (4 38) 857 with value (4 52) 287 with value (4 65)
% 47.96/48.16 ; 1055 with value (4 39) 944 with value (4 53) 316 with value (4 66)
% 47.96/48.16 ; 1050 with value (4 40) 392 with value (4 54) 153 with value (4 67)
% 47.96/48.16 ; 428 with value (4 41) 329 with value (4 55) 47 with value (4 68)
% 47.96/48.16 ; 619 with value (4 42) 460 with value (4 56) 28 with value (4 69)
% 47.96/48.16 ; 1619 with value (4 43) 525 with value (4 57) 33 with value (4 70)
% 47.96/48.16 ; 1981 with value (4 44) 602 with value (4 58) 14 with value (4 71)
% 47.96/48.16 ; 2670 with value (4 45) 523 with value (4 59) 4 with value (4 72)
% 47.96/48.16 ; 1206 with value (4 46)
% 47.96/48.16 Evaluation took:
% 47.96/48.16 47.694 seconds of real time
% 47.96/48.16 46.883926 seconds of user run time
% 47.96/48.16 0.812136 seconds of system run time
% 47.96/48.16 [Run times include 4.471 seconds GC run time.]
% 47.96/48.16 0 calls to %EVAL
% 47.96/48.16 0 page faults and
% 47.96/48.16 1,640,924,240 bytes consed.
% 47.96/48.16 :PROOF-FOUND
% 47.96/48.16 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T20:15:58
% 47.96/48.16 :PROOF-FOUND
% 47.96/48.16 *
%------------------------------------------------------------------------------