TSTP Solution File: LCL131-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL131-1 : 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 14:20:26 EDT 2022
% Result : Unsatisfiable 15.96s 16.18s
% Output : Refutation 16.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of clauses : 19 ( 18 unt; 0 nHn; 3 RR)
% Number of literals : 21 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(s_6,axiom,
is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_6) ).
cnf(prove_lg_2,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_2) ).
cnf(4,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(Z,Y)),equivalent(X,Z)),equivalent(equivalent(equivalent(U,V),equivalent(W,V)),equivalent(U,W)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,s_6,s_6]) ).
cnf(7,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Z,Y)),equivalent(X,Z))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,s_6]) ).
cnf(9,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Z,Y)),equivalent(equivalent(X,U),equivalent(Z,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,4]) ).
cnf(10,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(Z,Y)),U),equivalent(equivalent(X,Z),U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,s_6]) ).
cnf(15,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),V),equivalent(X,V))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9,s_6]) ).
cnf(20,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(X,U),equivalent(Z,equivalent(U,Y))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,10]) ).
cnf(21,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),equivalent(U,Z))),equivalent(X,equivalent(Y,U)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,s_6]) ).
cnf(22,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(U,Y),Z)),equivalent(X,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,10,s_6]) ).
cnf(38,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(Z,Y)),equivalent(U,Z)),equivalent(X,U))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,21,10]) ).
cnf(110,plain,
is_a_theorem(equivalent(X,equivalent(X,equivalent(Y,Y)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,38,21]) ).
cnf(122,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(X,equivalent(Z,Z)),Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,110,9]) ).
cnf(162,plain,
is_a_theorem(equivalent(equivalent(X,equivalent(Y,equivalent(Z,Z))),equivalent(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,122,21]) ).
cnf(3152,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(U,Y)),equivalent(X,equivalent(U,Z)))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,15,22]) ).
cnf(3235,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(Z,Y)),X)),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,3152,162]) ).
cnf(3329,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),U),equivalent(X,equivalent(U,equivalent(Z,Y))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,3235,20]) ).
cnf(11926,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,3329,s_6,prove_lg_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL131-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n029.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 : Sun Jul 3 10:20:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 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 2022-07-03T10:20:11
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-03T10:20:11
% 15.96/16.18
% 15.96/16.18
% 15.96/16.18 #||
% 15.96/16.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.96/16.18 % SZS output start Refutation
% See solution above
% 16.03/16.21 ||#
% 16.03/16.21
% 16.03/16.21 ; Summary of computation:
% 16.03/16.21 ; 66132 formulas have been input or derived (from 217 formulas).
% 16.03/16.21 ; 11926 (18%) were retained. Of these,
% 16.03/16.21 ; 1 ( 0%) were simplified or subsumed later,
% 16.03/16.21 ; 11925 (100%) are still being kept.
% 16.03/16.21 ;
% 16.03/16.21 ; Run time in seconds excluding printing time:
% 16.03/16.21 ; 0.002 0% Read assertion file (1 call)
% 16.03/16.21 ; 0.000 0% Assert (3 calls)
% 16.03/16.21 ; 1.711 11% Process new row (58,878 calls)
% 16.03/16.21 ; 10.703 68% Resolution (432 calls)
% 16.03/16.21 ; 0.500 3% Paramodulation (216 calls)
% 16.03/16.21 ; 0.000 0% Condensing (1 call)
% 16.03/16.21 ; 0.000 0% Forward subsumption (1 call)
% 16.03/16.21 ; 0.000 0% Backward subsumption (1 call)
% 16.03/16.21 ; 1.363 9% Forward simplification (58,862 calls)
% 16.03/16.21 ; 1.237 8% Backward simplification (11,926 calls)
% 16.03/16.21 ; 0.000 0% Sortal reasoning (32 calls)
% 16.03/16.21 ; 0.000 0% Purity testing (1 call)
% 16.03/16.21 ; 0.202 1% Other
% 16.03/16.21 ; 15.718 Total
% 16.03/16.21 ; 15.743 Real time
% 16.03/16.21 ;
% 16.03/16.21 ; Term-hash-array has 36,206 terms in all.
% 16.03/16.21 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 16.03/16.21 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 16.03/16.21 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 16.03/16.21 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 16.03/16.21 ; Path-index has 36,208 entries (36,208 at peak, 36,210 added, 2 deleted).
% 16.03/16.21 ; Path-index has 2,280 nodes (2,280 at peak, 2,280 added, 0 deleted).
% 16.03/16.21 ; Trie-index has 36,208 entries (36,208 at peak, 36,210 added, 2 deleted).
% 16.03/16.21 ; Trie-index has 75,755 nodes (75,755 at peak, 75,759 added, 4 deleted).
% 16.03/16.21 ; Retrieved 875,838 generalization terms in 58,860 calls.
% 16.03/16.21 ; Retrieved 169,385 instance terms in 11,924 calls.
% 16.03/16.21 ; Retrieved 10,118,917 unifiable terms in 36,238 calls.
% 16.03/16.21 ;
% 16.03/16.21 ; The agenda of rows to process has 682 entries:
% 16.03/16.21 ; 5 with value 22 4 with value 34 64 with value 42
% 16.03/16.21 ; 6 with value 23 26 with value 36 10 with value 43
% 16.03/16.21 ; 22 with value 27 132 with value 37 4 with value 45
% 16.03/16.21 ; 34 with value 28 76 with value 38 6 with value 46
% 16.03/16.21 ; 1 with value 29 1 with value 39 10 with value 47
% 16.03/16.21 ; 20 with value 31 1 with value 40 1 with value 50
% 16.03/16.21 ; 126 with value 32 37 with value 41 1 with value 55
% 16.03/16.21 ; 95 with value 33
% 16.03/16.21 ; The agenda of rows to give has 11709 entries:
% 16.03/16.21 ; 7 with value (4 31) 924 with value (4 40) 138 with value (4 49)
% 16.03/16.21 ; 158 with value (4 32) 1905 with value (4 41) 150 with value (4 50)
% 16.03/16.21 ; 145 with value (4 33) 1928 with value (4 42) 97 with value (4 51)
% 16.03/16.21 ; 118 with value (4 34) 510 with value (4 43) 40 with value (4 52)
% 16.03/16.21 ; 327 with value (4 35) 333 with value (4 44) 26 with value (4 53)
% 16.03/16.21 ; 774 with value (4 36) 592 with value (4 45) 71 with value (4 54)
% 16.03/16.21 ; 1002 with value (4 37) 663 with value (4 46) 65 with value (4 55)
% 16.03/16.21 ; 520 with value (4 38) 604 with value (4 47) 1 with value (4 56)
% 16.03/16.21 ; 448 with value (4 39) 163 with value (4 48)
% 16.03/16.21 Evaluation took:
% 16.03/16.21 15.744 seconds of real time
% 16.03/16.21 15.364496 seconds of user run time
% 16.03/16.21 0.379671 seconds of system run time
% 16.03/16.21 [Run times include 1.058 seconds GC run time.]
% 16.03/16.21 0 calls to %EVAL
% 16.03/16.21 0 page faults and
% 16.03/16.21 555,221,056 bytes consed.
% 16.03/16.21 :PROOF-FOUND
% 16.03/16.21 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-03T10:20:26
% 16.03/16.21 :PROOF-FOUND
% 16.03/16.21 *
%------------------------------------------------------------------------------