TSTP Solution File: SWV573-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV573-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 21:35:19 EDT 2022

% Result   : Unsatisfiable 0.77s 0.96s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   9 unt;   0 nHn;   4 RR)
%            Number of literals    :    9 (   8 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :    5 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_complex__Re__i_0,axiom,
    c_Complex_ORe(c_Complex_Oii) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__Re__i_0) ).

cnf(cls_complex__surj_0,axiom,
    c_Complex_Ocomplex_OComplex(c_Complex_ORe(X),c_Complex_OIm(X)) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__surj_0) ).

cnf(cls_complex__Im__of__nat_0,axiom,
    c_Complex_OIm(c_Nat_Osemiring__1__class_Oof__nat(X,tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__Im__of__nat_0) ).

cnf(1023,plain,
    c_Complex_OIm(c_Nat_Osemiring__1__class_Oof__nat(X,tc_Complex_Ocomplex)) = c_Complex_ORe(c_Complex_Oii),
    inference('REWRITE',[status(thm)],[cls_complex__Im__of__nat_0,cls_complex__Re__i_0,theory(equality)]) ).

cnf(cls_complex__Re__of__nat_0,axiom,
    c_Complex_ORe(c_Nat_Osemiring__1__class_Oof__nat(X,tc_Complex_Ocomplex)) = c_Nat_Osemiring__1__class_Oof__nat(X,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__Re__of__nat_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex) != c_Complex_Ocomplex_OComplex(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(1029,plain,
    c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex) != c_Complex_Ocomplex_OComplex(c_Complex_ORe(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex)),c_Complex_ORe(c_Complex_Oii)),
    inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_complex__Re__i_0,cls_complex__Re__of__nat_0,theory(equality)]) ).

cnf(1281,plain,
    c_Complex_Ocomplex_OComplex(c_Complex_ORe(c_Nat_Osemiring__1__class_Oof__nat(X,tc_Complex_Ocomplex)),c_Complex_ORe(c_Complex_Oii)) = c_Nat_Osemiring__1__class_Oof__nat(X,tc_Complex_Ocomplex),
    inference('PARAMODULATE',[status(thm)],[cls_complex__surj_0,1023,theory(equality)]) ).

cnf(1282,plain,
    $false,
    inference('REWRITE',[status(thm)],[1029,1281,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SWV573-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n006.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 : Thu Jun 16 05:30:26 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.50  #<PACKAGE "SNARK-USER">
% 0.20/0.50  * 
% 0.20/0.50  SNARK-TPTP-OPTIONS
% 0.20/0.50  * 
% 0.20/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50   (USE-FACTORING :POS)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50  * 
% 0.20/0.50  "."
% 0.20/0.50  * 
% 0.20/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T05:30:26
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-16T05:30:26
% 0.59/0.78  WARNING:
% 0.59/0.78     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.59/0.78  WARNING:
% 0.59/0.78     |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/sandbox2/benchmark/theBenchmark.p
% 0.77/0.96  % SZS output start Refutation
% See solution above
% 0.77/0.97  ||#
% 0.77/0.97  
% 0.77/0.97  ; Summary of computation:
% 0.77/0.97  ;      1528 formulas have been input or derived (from 249 formulas).
% 0.77/0.97  ;      1282 (84%) were retained.  Of these,
% 0.77/0.97  ;          229 (18%) were simplified or subsumed later,
% 0.77/0.97  ;         1053 (82%) are still being kept.
% 0.77/0.97  ; 
% 0.77/0.97  ; Run time in seconds:
% 0.77/0.97  ;     0.231  50%   Read assertion file          (1 call)
% 0.77/0.97  ;     0.030   6%   Assert                       (1,264 calls)
% 0.77/0.97  ;     0.066  14%   Process new row              (1,380 calls)
% 0.77/0.97  ;     0.002   0%   Resolution                   (496 calls)
% 0.77/0.97  ;     0.002   0%   Paramodulation               (248 calls)
% 0.77/0.97  ;     0.000   0%   Factoring                    (1 call)
% 0.77/0.97  ;     0.024   5%   Condensing                   (1,013 calls)
% 0.77/0.97  ;     0.016   3%   Forward subsumption          (1,013 calls)
% 0.77/0.97  ;     0.021   5%   Backward subsumption         (865 calls)
% 0.77/0.97  ;     0.006   1%   Clause clause subsumption    (1,319 calls)
% 0.77/0.97  ;     0.028   6%   Forward simplification       (1,376 calls)
% 0.77/0.97  ;     0.001   0%   Backward simplification      (1,152 calls)
% 0.77/0.97  ;     0.001   0%   Ordering                     (214 calls)
% 0.77/0.97  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.77/0.97  ;     0.003   1%   Purity testing               (1 call)
% 0.77/0.97  ;     0.035   8%   Other
% 0.77/0.97  ;     0.466        Total
% 0.77/0.97  ;     0.467        Real time
% 0.77/0.97  ; 
% 0.77/0.97  ; Term-hash-array has 1,658 terms in all.
% 0.77/0.97  ; Feature-vector-row-index has 783 entries (783 at peak, 865 added, 82 deleted).
% 0.77/0.97  ; Feature-vector-row-index has 2,529 nodes (2,529 at peak, 3,011 added, 482 deleted).
% 0.77/0.97  ;  Retrieved 1,108 possibly forward subsuming rows in 1,013 calls.
% 0.77/0.97  ;  Retrieved 980 possibly backward subsumed rows in 865 calls.
% 0.77/0.97  ; Path-index has 1,527 entries (1,531 at peak, 1,702 added, 175 deleted).
% 0.77/0.97  ; Path-index has 4,609 nodes (4,614 at peak, 4,767 added, 158 deleted).
% 0.77/0.97  ; Trie-index has 1,527 entries (1,531 at peak, 1,702 added, 175 deleted).
% 0.77/0.97  ; Trie-index has 5,578 nodes (5,595 at peak, 6,110 added, 532 deleted).
% 0.77/0.97  ; Retrieved 331 generalization terms in 4,581 calls.
% 0.77/0.97  ; Retrieved 359 instance terms in 291 calls.
% 0.77/0.97  ; Retrieved 6,991 unifiable terms in 1,106 calls.
% 0.77/0.97  ; 
% 0.77/0.97  ; The agenda of input rows to give has 794 entries:
% 0.77/0.97  ;     3 with value 10             10 with value 23              10 with value 36
% 0.77/0.97  ;    15 with value 11             47 with value 24               6 with value 37
% 0.77/0.97  ;    12 with value 12             40 with value 25              17 with value 38
% 0.77/0.97  ;    63 with value 13              8 with value 26              17 with value 39
% 0.77/0.97  ;    39 with value 14             84 with value 27               9 with value 40
% 0.77/0.97  ;    39 with value 15             10 with value 28               3 with value 42
% 0.77/0.97  ;    24 with value 16             16 with value 29               5 with value 43
% 0.77/0.97  ;    35 with value 17             28 with value 30               1 with value 44
% 0.77/0.97  ;    53 with value 18              8 with value 31               1 with value 45
% 0.77/0.97  ;    45 with value 19              4 with value 32               2 with value 46
% 0.77/0.97  ;    38 with value 20              5 with value 33               1 with value 47
% 0.77/0.97  ;    45 with value 21              9 with value 34               1 with value 52
% 0.77/0.97  ;    36 with value 22              5 with value 35
% 0.77/0.97  ; The agenda of rows to give has 10 entries:
% 0.77/0.97  ;     4 with value (4 6)           1 with value (4 9)            1 with value (4 16)
% 0.77/0.97  ;     3 with value (4 8)           1 with value (4 14)
% 0.77/0.97  Evaluation took:
% 0.77/0.97    0.467 seconds of real time
% 0.77/0.97    0.449505 seconds of user run time
% 0.77/0.97    0.018047 seconds of system run time
% 0.77/0.97    [Run times include 0.018 seconds GC run time.]
% 0.77/0.97    0 calls to %EVAL
% 0.77/0.97    0 page faults and
% 0.77/0.97    30,708,416 bytes consed.
% 0.77/0.97  :PROOF-FOUND
% 0.77/0.97  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T05:30:27
% 0.77/0.97  :PROOF-FOUND
% 0.77/0.97  * 
%------------------------------------------------------------------------------