TSTP Solution File: LCL366-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL366-1 : TPTP v8.1.0. Bugfixed v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 14:22:25 EDT 2022
% Result : Unsatisfiable 64.04s 64.25s
% Output : Refutation 64.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 22 ( 21 unt; 0 nHn; 5 RR)
% Number of literals : 24 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X),X),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X,implies(not(X),Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
cnf(prove_cn_15,negated_conjecture,
~ is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),x))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_15) ).
cnf(11,plain,
is_a_theorem(implies(implies(X,Y),implies(implies(not(X),X),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_2]) ).
cnf(12,plain,
is_a_theorem(implies(implies(implies(not(X),Y),Z),implies(X,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_3]) ).
cnf(13,plain,
is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(implies(Z,X),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_1,cn_1]) ).
cnf(39,plain,
is_a_theorem(implies(implies(implies(implies(not(X),X),Y),Z),implies(implies(X,Y),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,11,cn_1]) ).
cnf(53,plain,
is_a_theorem(implies(X,X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,12,cn_2]) ).
cnf(64,plain,
is_a_theorem(implies(not(implies(X,X)),Y)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,53,cn_3]) ).
cnf(67,plain,
~ is_a_theorem(implies(implies(X,X),implies(implies(not(x),y),implies(implies(y,x),x)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,53,prove_cn_15]) ).
cnf(69,plain,
is_a_theorem(implies(implies(X,Y),implies(not(implies(Z,Z)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,64,cn_1]) ).
cnf(154,plain,
is_a_theorem(implies(X,implies(not(implies(Y,Y)),Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,69,12]) ).
cnf(264,plain,
is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(U,Y),implies(X,implies(U,Z))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,13]) ).
cnf(822,plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(implies(Y,Z),implies(X,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,39,13]) ).
cnf(2197,plain,
is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,822,154]) ).
cnf(2205,plain,
~ is_a_theorem(implies(implies(not(x),y),implies(not(implies(implies(y,x),x)),implies(implies(y,x),x)))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,822,67]) ).
cnf(2462,plain,
is_a_theorem(implies(X,implies(implies(not(Y),Y),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2197,11]) ).
cnf(3018,plain,
is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(Z,implies(X,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2462,264]) ).
cnf(65461,plain,
is_a_theorem(implies(implies(not(X),Y),implies(Z,implies(implies(Y,X),X)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,3018,13]) ).
cnf(65462,plain,
$false,
inference('REWRITE',[status(thm)],[2205,65461]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL366-1 : TPTP v8.1.0. Bugfixed v5.5.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sun Jul 3 11:54:11 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T11:54:11
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-03T11:54:11
% 64.04/64.25
% 64.04/64.25
% 64.04/64.25 #||
% 64.04/64.25 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 64.04/64.25 % SZS output start Refutation
% See solution above
% 64.04/64.25 ||#
% 64.04/64.25
% 64.04/64.25 ; Summary of computation:
% 64.04/64.25 ; 111578 formulas have been input or derived (from 483 formulas).
% 64.04/64.25 ; 65462 (59%) were retained. Of these,
% 64.04/64.25 ; 2219 ( 3%) were simplified or subsumed later,
% 64.04/64.25 ; 63243 (97%) are still being kept.
% 64.04/64.25 ;
% 64.04/64.25 ; Run time in seconds excluding printing time:
% 64.04/64.25 ; 0.001 0% Read assertion file (1 call)
% 64.04/64.25 ; 0.001 0% Assert (5 calls)
% 64.04/64.25 ; 11.798 19% Process new row (99,710 calls)
% 64.04/64.25 ; 38.568 60% Resolution (964 calls)
% 64.04/64.25 ; 1.208 2% Paramodulation (482 calls)
% 64.04/64.25 ; 0.000 0% Condensing (1 call)
% 64.04/64.25 ; 0.000 0% Forward subsumption (1 call)
% 64.04/64.25 ; 0.000 0% Backward subsumption (1 call)
% 64.04/64.25 ; 4.582 7% Forward simplification (99,663 calls)
% 64.04/64.25 ; 7.196 11% Backward simplification (65,462 calls)
% 64.04/64.25 ; 0.001 0% Sortal reasoning (32 calls)
% 64.04/64.25 ; 0.000 0% Purity testing (1 call)
% 64.04/64.25 ; 0.412 1% Other
% 64.04/64.25 ; 63.767 Total
% 64.04/64.25 ; 63.767 Real time
% 64.04/64.25 ;
% 64.04/64.25 ; Term-hash-array has 144,925 terms in all.
% 64.04/64.25 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 64.04/64.25 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 64.04/64.25 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 64.04/64.25 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 64.04/64.25 ; Path-index has 140,189 entries (140,190 at peak, 145,027 added, 4,838 deleted).
% 64.04/64.25 ; Path-index has 31,105 nodes (31,105 at peak, 31,187 added, 82 deleted).
% 64.04/64.25 ; Trie-index has 140,189 entries (140,190 at peak, 145,027 added, 4,838 deleted).
% 64.04/64.25 ; Trie-index has 516,309 nodes (516,318 at peak, 529,753 added, 13,444 deleted).
% 64.04/64.25 ; Retrieved 1,392,430 generalization terms in 99,660 calls.
% 64.04/64.25 ; Retrieved 520,342 instance terms in 65,460 calls.
% 64.04/64.25 ; Retrieved 63,555,234 unifiable terms in 37,494 calls.
% 64.04/64.25 ;
% 64.04/64.26 ; The agenda of rows to process has 537 entries:
% 64.04/64.26 ; 11 with value 27 13 with value 35 12 with value 43
% 64.04/64.26 ; 54 with value 28 21 with value 36 11 with value 44
% 64.04/64.26 ; 26 with value 29 36 with value 37 1 with value 45
% 64.04/64.26 ; 14 with value 30 36 with value 38 3 with value 46
% 64.04/64.26 ; 34 with value 31 60 with value 39 1 with value 48
% 64.04/64.26 ; 20 with value 32 54 with value 40 1 with value 49
% 64.04/64.26 ; 33 with value 33 55 with value 41 1 with value 52
% 64.04/64.26 ; 18 with value 34 21 with value 42 1 with value 54
% 64.04/64.26 ; The agenda of rows to give has 62791 entries:
% 64.04/64.26 ; 3 with value (4 24) 1991 with value (4 44) 9 with value (4 64)
% 64.04/64.26 ; 2 with value (4 25) 702 with value (4 45) 14 with value (4 65)
% 64.04/64.26 ; 131 with value (4 26) 257 with value (4 46) 14 with value (4 66)
% 64.04/64.26 ; 307 with value (4 27) 127 with value (4 47) 5 with value (4 67)
% 64.04/64.26 ; 528 with value (4 28) 150 with value (4 48) 4 with value (4 68)
% 64.04/64.26 ; 726 with value (4 29) 136 with value (4 49) 5 with value (4 69)
% 64.04/64.26 ; 941 with value (4 30) 101 with value (4 50) 7 with value (4 70)
% 64.04/64.26 ; 1238 with value (4 31) 115 with value (4 51) 2 with value (4 71)
% 64.04/64.26 ; 1707 with value (4 32) 88 with value (4 52) 4 with value (4 72)
% 64.04/64.26 ; 2540 with value (4 33) 100 with value (4 53) 11 with value (4 73)
% 64.04/64.26 ; 3326 with value (4 34) 62 with value (4 54) 3 with value (4 74)
% 64.04/64.26 ; 4427 with value (4 35) 59 with value (4 55) 4 with value (4 75)
% 64.04/64.26 ; 5018 with value (4 36) 46 with value (4 56) 2 with value (4 76)
% 64.04/64.26 ; 5542 with value (4 37) 35 with value (4 57) 5 with value (4 77)
% 64.04/64.26 ; 5962 with value (4 38) 20 with value (4 58) 3 with value (4 78)
% 64.04/64.26 ; 6021 with value (4 39) 25 with value (4 59) 3 with value (4 79)
% 64.04/64.26 ; 6201 with value (4 40) 25 with value (4 60) 1 with value (4 82)
% 64.04/64.26 ; 5525 with value (4 41) 6 with value (4 61) 1 with value (4 85)
% 64.04/64.26 ; 5092 with value (4 42) 23 with value (4 62) 2 with value (4 87)
% 64.04/64.26 ; 3369 with value (4 43) 18 with value (4 63)
% 64.04/64.26 Evaluation took:
% 64.04/64.26 63.772 seconds of real time
% 64.04/64.26 61.98545 seconds of user run time
% 64.04/64.26 1.788065 seconds of system run time
% 64.04/64.26 [Run times include 12.038 seconds GC run time.]
% 64.04/64.26 0 calls to %EVAL
% 64.04/64.26 0 page faults and
% 64.04/64.26 1,806,946,840 bytes consed.
% 64.04/64.26 :PROOF-FOUND
% 64.04/64.26 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T11:55:15
% 64.04/64.26 :PROOF-FOUND
% 64.04/64.26 *
%------------------------------------------------------------------------------