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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PRO009+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 17:53:17 EDT 2022

% Result   : Theorem 0.41s 0.58s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   23 (  12 unt;   2 nHn;  23 RR)
%            Number of literals    :   42 (   0 equ;  20 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-1 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ min_precedes(X,Y,Z)
    | ~ min_precedes(Y,U,Z)
    | min_precedes(X,U,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).

cnf(5,axiom,
    ( ~ next_subocc(X,Y,Z)
    | min_precedes(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).

cnf(64,axiom,
    ( ~ occurrence_of(X,tptp0)
    | occurrence_of('SKOLEMAAAW15'(X),tptp3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).

cnf(65,axiom,
    ( ~ occurrence_of(X,tptp0)
    | root_occ('SKOLEMAAAW15'(X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).

cnf(67,axiom,
    ( ~ occurrence_of(X,tptp0)
    | next_subocc('SKOLEMAAAW15'(X),'SKOLEMAAAW16'(X),tptp0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).

cnf(68,axiom,
    ( ~ occurrence_of(X,tptp0)
    | occurrence_of('SKOLEMAAAW17'(X),tptp2)
    | occurrence_of('SKOLEMAAAW17'(X),tptp1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).

cnf(69,axiom,
    ( ~ occurrence_of(X,tptp0)
    | next_subocc('SKOLEMAAAW16'(X),'SKOLEMAAAW17'(X),tptp0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).

cnf(70,axiom,
    ( ~ occurrence_of(X,tptp0)
    | leaf_occ('SKOLEMAAAW17'(X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).

cnf(83,negated_conjecture,
    occurrence_of('SKOLEMAAAW18',tptp0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(84,negated_conjecture,
    ( ~ occurrence_of(X,tptp3)
    | ~ root_occ(X,'SKOLEMAAAW18')
    | ~ occurrence_of(Y,tptp2)
    | ~ min_precedes(X,Y,tptp0)
    | ~ leaf_occ(Y,'SKOLEMAAAW18') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(85,negated_conjecture,
    ( ~ occurrence_of(X,tptp3)
    | ~ root_occ(X,'SKOLEMAAAW18')
    | ~ occurrence_of(Y,tptp1)
    | ~ min_precedes(X,Y,tptp0)
    | ~ leaf_occ(Y,'SKOLEMAAAW18') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

cnf(89,plain,
    occurrence_of('SKOLEMAAAW15'('SKOLEMAAAW18'),tptp3),
    inference('HYPERRESOLVE',[status(thm)],[64,83]) ).

cnf(90,plain,
    root_occ('SKOLEMAAAW15'('SKOLEMAAAW18'),'SKOLEMAAAW18'),
    inference('HYPERRESOLVE',[status(thm)],[65,83]) ).

cnf(92,plain,
    leaf_occ('SKOLEMAAAW17'('SKOLEMAAAW18'),'SKOLEMAAAW18'),
    inference('HYPERRESOLVE',[status(thm)],[70,83]) ).

cnf(93,plain,
    next_subocc('SKOLEMAAAW15'('SKOLEMAAAW18'),'SKOLEMAAAW16'('SKOLEMAAAW18'),tptp0),
    inference('HYPERRESOLVE',[status(thm)],[67,83]) ).

cnf(94,plain,
    next_subocc('SKOLEMAAAW16'('SKOLEMAAAW18'),'SKOLEMAAAW17'('SKOLEMAAAW18'),tptp0),
    inference('HYPERRESOLVE',[status(thm)],[69,83]) ).

cnf(97,plain,
    ( occurrence_of('SKOLEMAAAW17'('SKOLEMAAAW18'),tptp2)
    | occurrence_of('SKOLEMAAAW17'('SKOLEMAAAW18'),tptp1) ),
    inference('HYPERRESOLVE',[status(thm)],[68,83]) ).

cnf(157,plain,
    min_precedes('SKOLEMAAAW15'('SKOLEMAAAW18'),'SKOLEMAAAW16'('SKOLEMAAAW18'),tptp0),
    inference('HYPERRESOLVE',[status(thm)],[5,93]) ).

cnf(159,plain,
    min_precedes('SKOLEMAAAW16'('SKOLEMAAAW18'),'SKOLEMAAAW17'('SKOLEMAAAW18'),tptp0),
    inference('HYPERRESOLVE',[status(thm)],[5,94]) ).

cnf(203,plain,
    min_precedes('SKOLEMAAAW15'('SKOLEMAAAW18'),'SKOLEMAAAW17'('SKOLEMAAAW18'),tptp0),
    inference('HYPERRESOLVE',[status(thm)],[1,159,157]) ).

cnf(236,plain,
    ~ occurrence_of('SKOLEMAAAW17'('SKOLEMAAAW18'),tptp1),
    inference('UR-RESOLVE',[status(thm)],[85,203,89,90,92]) ).

cnf(237,plain,
    occurrence_of('SKOLEMAAAW17'('SKOLEMAAAW18'),tptp2),
    inference('REWRITE',[status(thm)],[97,236]) ).

cnf(238,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[84,203,89,90,92]),237]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : PRO009+2 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jun 13 03:21:37 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T03:21:37
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-13T03:21:37
% 0.41/0.58  
% 0.41/0.58  
% 0.41/0.58  #||
% 0.41/0.58  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.58  % SZS output start Refutation
% See solution above
% 0.43/0.58  ||#
% 0.43/0.58  
% 0.43/0.58  ; Summary of computation:
% 0.43/0.58  ;       567 formulas have been input or derived (from 170 formulas).
% 0.43/0.58  ;       238 (42%) were retained.  Of these,
% 0.43/0.58  ;           28 (12%) were simplified or subsumed later,
% 0.43/0.58  ;          210 (88%) are still being kept.
% 0.43/0.58  ; 
% 0.43/0.58  ; Run time in seconds excluding printing time:
% 0.43/0.58  ;     0.010  11%   Read assertion file          (1 call)
% 0.43/0.58  ;     0.002   2%   Assert                       (46 calls)
% 0.43/0.58  ;     0.020  22%   Process new row              (419 calls)
% 0.43/0.58  ;     0.017  19%   Resolution                   (338 calls)
% 0.43/0.58  ;     0.002   2%   Paramodulation               (169 calls)
% 0.43/0.58  ;     0.003   3%   Condensing                   (79 calls)
% 0.43/0.58  ;     0.000   0%   Forward subsumption          (79 calls)
% 0.43/0.58  ;     0.001   1%   Backward subsumption         (78 calls)
% 0.43/0.58  ;     0.000   0%   Clause clause subsumption    (14 calls)
% 0.43/0.58  ;     0.002   2%   Forward simplification       (382 calls)
% 0.43/0.58  ;     0.001   1%   Backward simplification      (238 calls)
% 0.43/0.58  ;     0.000   0%   Ordering                     (23 calls)
% 0.43/0.58  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.43/0.58  ;     0.001   1%   Purity testing               (1 call)
% 0.43/0.58  ;     0.030  34%   Other
% 0.43/0.58  ;     0.089        Total
% 0.43/0.58  ;     0.092        Real time
% 0.43/0.58  ; 
% 0.43/0.58  ; Term-hash-array has 301 terms in all.
% 0.43/0.58  ; Feature-vector-row-index has 73 entries (75 at peak, 78 added, 5 deleted).
% 0.43/0.58  ; Feature-vector-row-index has 184 nodes (202 at peak, 238 added, 54 deleted).
% 0.43/0.58  ;  Retrieved 17 possibly forward subsuming rows in 79 calls.
% 0.43/0.58  ;  Retrieved 7 possibly backward subsumed rows in 78 calls.
% 0.43/0.58  ; Path-index has 278 entries (278 at peak, 312 added, 34 deleted).
% 0.43/0.58  ; Path-index has 759 nodes (759 at peak, 832 added, 73 deleted).
% 0.43/0.58  ; Trie-index has 278 entries (278 at peak, 312 added, 34 deleted).
% 0.43/0.58  ; Trie-index has 713 nodes (713 at peak, 845 added, 132 deleted).
% 0.43/0.58  ; Retrieved 141 generalization terms in 315 calls.
% 0.43/0.58  ; Retrieved 159 instance terms in 159 calls.
% 0.43/0.58  ; Retrieved 8,814 unifiable terms in 2,665 calls.
% 0.43/0.58  ; 
% 0.43/0.58  ; The agenda of rows to process has 23 entries:
% 0.43/0.58  ;     1 with value 11              6 with value 15               1 with value 21
% 0.43/0.58  ;     5 with value 12              8 with value 16               2 with value 25
% 0.43/0.58  ; The agenda of rows to give has 49 entries:
% 0.43/0.58  ;     1 with value (4 7)           6 with value (4 12)          13 with value (4 15)
% 0.43/0.58  ;     1 with value (4 10)          7 with value (4 13)           1 with value (4 16)
% 0.43/0.58  ;     6 with value (4 11)         13 with value (4 14)           1 with value (4 23)
% 0.43/0.58  Evaluation took:
% 0.43/0.58    0.092 seconds of real time
% 0.43/0.58    0.084343 seconds of user run time
% 0.43/0.58    0.008219 seconds of system run time
% 0.43/0.58    0 calls to %EVAL
% 0.43/0.58    0 page faults and
% 0.43/0.58    5,560,128 bytes consed.
% 0.43/0.58  :PROOF-FOUND
% 0.43/0.58  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T03:21:37
% 0.43/0.58  :PROOF-FOUND
% 0.43/0.58  * 
%------------------------------------------------------------------------------