TSTP Solution File: SWV598-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV598-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : Wed Jul 20 21:35:24 EDT 2022

% Result   : Unsatisfiable 0.77s 0.96s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   17 (  10 unt;   2 nHn;  16 RR)
%            Number of literals    :   28 (  10 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-3 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_real__less__def_2,axiom,
    ( c_HOL_Oord__class_Oless(X,Y,tc_RealDef_Oreal)
    | X = Y
    | ~ c_lessequals(X,Y,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__less__def_2) ).

cnf(cls_not__leE_0,axiom,
    ( ~ class_Orderings_Olinorder(X)
    | c_HOL_Oord__class_Oless(Y,Z,X)
    | c_lessequals(Z,Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__leE_0) ).

cnf(cls_0_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_0_0) ).

cnf(cls_CHAINED_0,axiom,
    c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(cls_CHAINED_0_02,axiom,
    ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).

cnf(1045,plain,
    ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
    inference('REWRITE',[status(thm)],[cls_CHAINED_0_02,cls_CHAINED_0]) ).

cnf(cls_CHAINED_0_03,axiom,
    ( c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | v_x != c_Transcendental_Opi ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).

cnf(cls_CHAINED_0_04,axiom,
    ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_04) ).

cnf(1048,plain,
    ( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal) ),
    inference('REWRITE',[status(thm)],[cls_CHAINED_0_04,cls_0_0]) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).

cnf(1159,plain,
    v_x != c_Transcendental_Opi,
    inference('REWRITE',[status(thm)],[cls_CHAINED_0_03,cls_conjecture_1,theory(equality)]) ).

cnf(1160,plain,
    ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[1045,cls_conjecture_0,theory(equality)]) ).

cnf(1161,plain,
    ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[1048,cls_conjecture_0,theory(equality)]) ).

cnf(1306,plain,
    c_lessequals(c_Transcendental_Opi,v_x,tc_RealDef_Oreal),
    inference('UR-RESOLVE',[status(thm)],[cls_not__leE_0,clsarity_RealDef__Oreal__Orderings_Olinorder,1161]) ).

cnf(1404,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_real__less__def_2,1160,1159]),1306]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV598-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n014.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 : Wed Jun 15 02:08:21 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-15T02:08:21
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-15T02:08:21
% 0.53/0.73  WARNING:
% 0.53/0.73     |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.73  WARNING:
% 0.53/0.73     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.73  WARNING:
% 0.53/0.73     |class_Divides_Osemiring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.73  WARNING:
% 0.53/0.73     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.77/0.96  
% 0.77/0.96  
% 0.77/0.96  #||
% 0.77/0.96  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.96  % SZS output start Refutation
% See solution above
% 0.77/0.96  ||#
% 0.77/0.96  
% 0.77/0.96  ; Summary of computation:
% 0.77/0.96  ;      2099 formulas have been input or derived (from 288 formulas).
% 0.77/0.96  ;      1404 (67%) were retained.  Of these,
% 0.77/0.96  ;           58 ( 4%) were simplified or subsumed later,
% 0.77/0.96  ;         1346 (96%) are still being kept.
% 0.77/0.96  ; 
% 0.77/0.96  ; Run time in seconds excluding printing time:
% 0.77/0.96  ;     0.221  45%   Read assertion file          (1 call)
% 0.77/0.96  ;     0.030   6%   Assert                       (1,330 calls)
% 0.77/0.96  ;     0.081  16%   Process new row              (1,989 calls)
% 0.77/0.96  ;     0.022   4%   Resolution                   (574 calls)
% 0.77/0.96  ;     0.002   0%   Paramodulation               (287 calls)
% 0.77/0.96  ;     0.000   0%   Factoring                    (1 call)
% 0.77/0.96  ;     0.020   4%   Condensing                   (1,084 calls)
% 0.77/0.96  ;     0.024   5%   Forward subsumption          (1,084 calls)
% 0.77/0.96  ;     0.022   4%   Backward subsumption         (954 calls)
% 0.77/0.96  ;     0.002   0%   Clause clause subsumption    (1,226 calls)
% 0.77/0.96  ;     0.027   5%   Forward simplification       (1,930 calls)
% 0.77/0.96  ;     0.004   1%   Backward simplification      (1,394 calls)
% 0.77/0.96  ;     0.003   1%   Ordering                     (657 calls)
% 0.77/0.96  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.77/0.96  ;     0.003   1%   Purity testing               (1 call)
% 0.77/0.96  ;     0.032   6%   Other
% 0.77/0.96  ;     0.493        Total
% 0.77/0.96  ;     0.495        Real time
% 0.77/0.96  ; 
% 0.77/0.96  ; Term-hash-array has 2,186 terms in all.
% 0.77/0.96  ; Feature-vector-row-index has 937 entries (937 at peak, 954 added, 17 deleted).
% 0.77/0.96  ; Feature-vector-row-index has 2,783 nodes (2,783 at peak, 2,853 added, 70 deleted).
% 0.77/0.96  ;  Retrieved 1,705 possibly forward subsuming rows in 1,084 calls.
% 0.77/0.96  ;  Retrieved 2,094 possibly backward subsumed rows in 954 calls.
% 0.77/0.96  ; Path-index has 2,126 entries (2,126 at peak, 2,230 added, 104 deleted).
% 0.77/0.96  ; Path-index has 7,193 nodes (7,193 at peak, 7,348 added, 155 deleted).
% 0.77/0.96  ; Trie-index has 2,126 entries (2,126 at peak, 2,230 added, 104 deleted).
% 0.77/0.96  ; Trie-index has 8,721 nodes (8,721 at peak, 9,168 added, 447 deleted).
% 0.77/0.96  ; Retrieved 849 generalization terms in 5,360 calls.
% 0.77/0.96  ; Retrieved 636 instance terms in 449 calls.
% 0.77/0.96  ; Retrieved 24,395 unifiable terms in 1,591 calls.
% 0.77/0.96  ; 
% 0.77/0.96  ; The agenda of rows to process has 17 entries:
% 0.77/0.96  ;     1 with value 6               2 with value 14               2 with value 18
% 0.77/0.96  ;     2 with value 8               2 with value 15               2 with value 22
% 0.77/0.96  ;     2 with value 10              2 with value 16               2 with value 26
% 0.77/0.96  ; The agenda of input rows to give has 856 entries:
% 0.77/0.96  ;    43 with value 14             90 with value 27               9 with value 40
% 0.77/0.96  ;    55 with value 15              7 with value 28               4 with value 42
% 0.77/0.96  ;    44 with value 16             16 with value 29               1 with value 43
% 0.77/0.96  ;    56 with value 17             29 with value 30               1 with value 44
% 0.77/0.96  ;    64 with value 18              6 with value 31               4 with value 45
% 0.77/0.96  ;    49 with value 19              5 with value 32               2 with value 46
% 0.77/0.96  ;    43 with value 20              5 with value 33               2 with value 47
% 0.77/0.96  ;    63 with value 21              6 with value 34               1 with value 48
% 0.77/0.96  ;    46 with value 22              7 with value 35               1 with value 51
% 0.77/0.96  ;    12 with value 23             14 with value 36               1 with value 52
% 0.77/0.96  ;    78 with value 24              6 with value 37               1 with value 54
% 0.77/0.96  ;    38 with value 25             19 with value 38               2 with value 73
% 0.77/0.96  ;     9 with value 26             17 with value 39
% 0.77/0.96  ; The agenda of rows to give has 206 entries:
% 0.77/0.96  ;     2 with value (4 6)           6 with value (4 13)           7 with value (4 18)
% 0.77/0.96  ;    11 with value (4 8)          18 with value (4 14)           5 with value (4 19)
% 0.77/0.96  ;    23 with value (4 9)          15 with value (4 15)           1 with value (4 20)
% 0.77/0.96  ;    25 with value (4 10)          1 with value (4 16)           2 with value (4 21)
% 0.77/0.96  ;    50 with value (4 11)          8 with value (4 17)           1 with value (4 22)
% 0.77/0.96  ;    31 with value (4 12)
% 0.77/0.96  Evaluation took:
% 0.77/0.96    0.496 seconds of real time
% 0.77/0.96    0.464869 seconds of user run time
% 0.77/0.96    0.030622 seconds of system run time
% 0.77/0.96    [Run times include 0.017 seconds GC run time.]
% 0.77/0.96    0 calls to %EVAL
% 0.77/0.96    0 page faults and
% 0.77/0.96    34,699,712 bytes consed.
% 0.77/0.96  :PROOF-FOUND
% 0.77/0.96  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T02:08:22
% 0.77/0.96  :PROOF-FOUND
% 0.77/0.96  * 
%------------------------------------------------------------------------------