TSTP Solution File: SWV690-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV690-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 21:35:42 EDT 2022

% Result   : Unsatisfiable 0.60s 0.84s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   3 unt;   0 nHn;   3 RR)
%            Number of literals    :    5 (   0 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-3 aty)
%            Number of variables   :    3 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_less__imp__diff__less_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X,Y,tc_nat),Z,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X,Z,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__imp__diff__less_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_HOL_Oord__class_Oless(v_k,v_n,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_k,v_i,tc_nat),v_n,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(731,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_less__imp__diff__less_0,cls_conjecture_1,cls_conjecture_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV690-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 19:15:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T19:15:40
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-15T19:15:40
% 0.48/0.66  
% 0.48/0.66  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Oabs__if| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_RealVector_Oreal__normed__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Olordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Opordered__ring__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Olordered__ab__group__add__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_OrderedGroup_Opordered__ab__group__add__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.60/0.84  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.60/0.84  
% 0.60/0.84  #||
% 0.60/0.84  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.84  % SZS output start Refutation
% See solution above
% 0.60/0.84  ||#
% 0.60/0.84  
% 0.60/0.84  ; Summary of computation:
% 0.60/0.84  ;      2053 formulas have been input or derived (from 165 formulas).
% 0.60/0.84  ;       731 (36%) were retained.  Of these,
% 0.60/0.84  ;           48 ( 7%) were simplified or subsumed later,
% 0.60/0.84  ;          683 (93%) are still being kept.
% 0.60/0.84  ; 
% 0.60/0.84  ; Run time in seconds:
% 0.60/0.84  ;     0.150  43%   Read assertion file          (1 call)
% 0.60/0.84  ;     0.015   4%   Assert                       (799 calls)
% 0.60/0.84  ;     0.043  12%   Process new row              (1,773 calls)
% 0.60/0.84  ;     0.021   6%   Resolution                   (328 calls)
% 0.60/0.84  ;     0.001   0%   Paramodulation               (164 calls)
% 0.60/0.84  ;     0.001   0%   Factoring                    (6 calls)
% 0.60/0.84  ;     0.012   3%   Condensing                   (593 calls)
% 0.60/0.84  ;     0.024   7%   Forward subsumption          (593 calls)
% 0.60/0.84  ;     0.014   4%   Backward subsumption         (454 calls)
% 0.60/0.84  ;     0.005   1%   Clause clause subsumption    (945 calls)
% 0.60/0.84  ;     0.028   8%   Forward simplification       (1,589 calls)
% 0.60/0.84  ;     0.005   1%   Backward simplification      (722 calls)
% 0.60/0.84  ;     0.007   2%   Ordering                     (929 calls)
% 0.60/0.84  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.60/0.84  ;     0.002   1%   Purity testing               (1 call)
% 0.60/0.84  ;     0.022   6%   Other
% 0.60/0.84  ;     0.350        Total
% 0.60/0.84  ;     0.351        Real time
% 0.60/0.84  ; 
% 0.60/0.84  ; Term-hash-array has 1,087 terms in all.
% 0.60/0.84  ; Feature-vector-row-index has 431 entries (431 at peak, 454 added, 23 deleted).
% 0.60/0.84  ; Feature-vector-row-index has 1,296 nodes (1,296 at peak, 1,427 added, 131 deleted).
% 0.60/0.84  ;  Retrieved 1,471 possibly forward subsuming rows in 593 calls.
% 0.60/0.84  ;  Retrieved 828 possibly backward subsumed rows in 454 calls.
% 0.60/0.84  ; Path-index has 1,018 entries (1,018 at peak, 1,115 added, 97 deleted).
% 0.60/0.84  ; Path-index has 2,898 nodes (2,898 at peak, 3,025 added, 127 deleted).
% 0.60/0.84  ; Trie-index has 1,018 entries (1,018 at peak, 1,115 added, 97 deleted).
% 0.60/0.84  ; Trie-index has 3,563 nodes (3,563 at peak, 4,005 added, 442 deleted).
% 0.60/0.84  ; Retrieved 2,636 generalization terms in 4,747 calls.
% 0.60/0.84  ; Retrieved 690 instance terms in 277 calls.
% 0.60/0.84  ; Retrieved 23,166 unifiable terms in 1,136 calls.
% 0.60/0.84  ; 
% 0.60/0.84  ; The agenda of rows to process has 19 entries:
% 0.60/0.84  ;     1 with value 6               1 with value 11               6 with value 15
% 0.60/0.84  ;     1 with value 8               1 with value 13               2 with value 16
% 0.60/0.84  ;     5 with value 10              1 with value 14               1 with value 18
% 0.60/0.84  ; The agenda of input rows to give has 307 entries:
% 0.60/0.84  ;     1 with value 14             10 with value 23               1 with value 31
% 0.60/0.84  ;    10 with value 15             22 with value 24               3 with value 32
% 0.60/0.84  ;    20 with value 16             13 with value 25               1 with value 35
% 0.60/0.84  ;    41 with value 17              2 with value 26               1 with value 36
% 0.60/0.84  ;    37 with value 18             39 with value 27               6 with value 39
% 0.60/0.84  ;    14 with value 19              4 with value 28               1 with value 42
% 0.60/0.84  ;    16 with value 20              1 with value 29               4 with value 43
% 0.60/0.84  ;    32 with value 21              2 with value 30               8 with value 44
% 0.60/0.84  ;    18 with value 22
% 0.60/0.84  ; The agenda of rows to give has 211 entries:
% 0.60/0.84  ;     6 with value (4 6)          27 with value (4 14)           1 with value (4 22)
% 0.60/0.84  ;     9 with value (4 8)          21 with value (4 15)           2 with value (4 23)
% 0.60/0.84  ;    10 with value (4 9)          19 with value (4 16)           1 with value (4 26)
% 0.60/0.84  ;    19 with value (4 10)         14 with value (4 17)           2 with value (4 30)
% 0.60/0.84  ;    16 with value (4 11)         10 with value (4 18)           3 with value (4 46)
% 0.60/0.84  ;    18 with value (4 12)          7 with value (4 19)           2 with value (4 80)
% 0.60/0.84  ;    23 with value (4 13)          1 with value (4 20)
% 0.60/0.84  Evaluation took:
% 0.60/0.84    0.352 seconds of real time
% 0.60/0.84    0.316573 seconds of user run time
% 0.60/0.84    0.035005 seconds of system run time
% 0.60/0.84    [Run times include 0.01 seconds GC run time.]
% 0.60/0.84    0 calls to %EVAL
% 0.60/0.84    0 page faults and
% 0.60/0.84    21,492,984 bytes consed.
% 0.60/0.84  :PROOF-FOUND
% 0.60/0.84  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T19:15:40
% 0.60/0.84  :PROOF-FOUND
% 0.60/0.84  * 
%------------------------------------------------------------------------------