TSTP Solution File: SWV592-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV592-1 : 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 21:35:23 EDT 2022

% Result   : Unsatisfiable 0.61s 0.86s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (  10 unt;   0 nHn;   5 RR)
%            Number of literals    :   15 (  11 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_eq__diff__eq_H_0,axiom,
    X = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X,Y,tc_RealDef_Oreal),Y,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__diff__eq_H_0) ).

cnf(cls_sin__periodic__pi_0,axiom,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__periodic__pi_0) ).

cnf(cls_sin__minus_0,axiom,
    c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__minus_0) ).

cnf(cls_neg__equal__iff__equal_0,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X)
    | c_HOL_Ouminus__class_Ouminus(Y,X) != c_HOL_Ouminus__class_Ouminus(Z,X)
    | Y = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__equal__iff__equal_0) ).

cnf(cls_minus__equation__iff_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(Y,X),X) = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__equation__iff_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(728,plain,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)),
    inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_sin__minus_0,theory(equality)]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).

cnf(792,plain,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X,tc_RealDef_Oreal)),
    inference('REWRITE',[status(thm)],[cls_sin__periodic__pi_0,cls_sin__minus_0,theory(equality)]) ).

cnf(855,plain,
    c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X,tc_RealDef_Oreal),tc_RealDef_Oreal) = X,
    inference('HYPERRESOLVE',[status(thm)],[cls_minus__equation__iff_1,clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add]) ).

cnf(858,plain,
    c_Transcendental_Osin(X) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),
    inference('PARAMODULATE',[status(thm)],[792,cls_eq__diff__eq_H_0,theory(equality)]) ).

cnf(947,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_neg__equal__iff__equal_0,clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,728]),855,858,cls_sin__minus_0,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV592-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n006.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 19:13:56 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 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  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T19:13:56
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-15T19:13:56
% 0.48/0.69  WARNING:
% 0.48/0.69     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.69  WARNING:
% 0.48/0.69     |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.69  WARNING:
% 0.48/0.69     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.69  WARNING:
% 0.48/0.69     |class_Divides_Osemiring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.61/0.86  
% 0.61/0.86  
% 0.61/0.86  #||
% 0.61/0.86  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.86  % SZS output start Refutation
% See solution above
% 0.61/0.86  ||#
% 0.61/0.86  
% 0.61/0.86  ; Summary of computation:
% 0.61/0.86  ;      1478 formulas have been input or derived (from 237 formulas).
% 0.61/0.86  ;       947 (64%) were retained.  Of these,
% 0.61/0.86  ;           36 ( 4%) were simplified or subsumed later,
% 0.61/0.86  ;          911 (96%) are still being kept.
% 0.61/0.86  ; 
% 0.61/0.86  ; Run time in seconds excluding printing time:
% 0.61/0.86  ;     0.182  48%   Read assertion file          (1 call)
% 0.61/0.86  ;     0.019   5%   Assert                       (924 calls)
% 0.61/0.86  ;     0.054  14%   Process new row              (1,297 calls)
% 0.61/0.86  ;     0.013   3%   Resolution                   (472 calls)
% 0.61/0.86  ;     0.002   1%   Paramodulation               (236 calls)
% 0.61/0.86  ;     0.000   0%   Factoring                    (2 calls)
% 0.61/0.86  ;     0.016   4%   Condensing                   (835 calls)
% 0.61/0.86  ;     0.012   3%   Forward subsumption          (835 calls)
% 0.61/0.86  ;     0.018   5%   Backward subsumption         (718 calls)
% 0.61/0.86  ;     0.009   2%   Clause clause subsumption    (1,064 calls)
% 0.61/0.86  ;     0.019   5%   Forward simplification       (1,256 calls)
% 0.61/0.86  ;     0.004   1%   Backward simplification      (945 calls)
% 0.61/0.86  ;     0.001   0%   Ordering                     (514 calls)
% 0.61/0.86  ;     0.002   1%   Sortal reasoning             (32 calls)
% 0.61/0.86  ;     0.002   1%   Purity testing               (1 call)
% 0.61/0.86  ;     0.030   8%   Other
% 0.61/0.86  ;     0.383        Total
% 0.61/0.86  ;     0.385        Real time
% 0.61/0.86  ; 
% 0.61/0.86  ; Term-hash-array has 1,365 terms in all.
% 0.61/0.86  ; Feature-vector-row-index has 705 entries (705 at peak, 718 added, 13 deleted).
% 0.61/0.86  ; Feature-vector-row-index has 2,088 nodes (2,088 at peak, 2,156 added, 68 deleted).
% 0.71/0.86  ;  Retrieved 812 possibly forward subsuming rows in 835 calls.
% 0.71/0.86  ;  Retrieved 630 possibly backward subsumed rows in 718 calls.
% 0.71/0.86  ; Path-index has 1,328 entries (1,328 at peak, 1,392 added, 64 deleted).
% 0.71/0.86  ; Path-index has 4,362 nodes (4,362 at peak, 4,456 added, 94 deleted).
% 0.71/0.86  ; Trie-index has 1,328 entries (1,328 at peak, 1,392 added, 64 deleted).
% 0.71/0.86  ; Trie-index has 5,294 nodes (5,294 at peak, 5,578 added, 284 deleted).
% 0.71/0.86  ; Retrieved 490 generalization terms in 3,072 calls.
% 0.71/0.86  ; Retrieved 335 instance terms in 228 calls.
% 0.71/0.86  ; Retrieved 19,711 unifiable terms in 1,304 calls.
% 0.71/0.86  ; 
% 0.71/0.86  ; The agenda of rows to process has 8 entries:
% 0.71/0.86  ;     8 with value 21
% 0.71/0.86  ; The agenda of input rows to give has 541 entries:
% 0.71/0.86  ;    42 with value 17             77 with value 27               8 with value 37
% 0.71/0.86  ;    52 with value 18              7 with value 28              17 with value 38
% 0.71/0.86  ;    45 with value 19              3 with value 29              17 with value 39
% 0.71/0.86  ;    35 with value 20             27 with value 30               9 with value 40
% 0.71/0.86  ;    42 with value 21              5 with value 31               3 with value 42
% 0.71/0.86  ;    24 with value 22              3 with value 32               1 with value 44
% 0.71/0.86  ;     5 with value 23              2 with value 33               1 with value 45
% 0.71/0.86  ;    54 with value 24              5 with value 34               2 with value 46
% 0.71/0.86  ;    27 with value 25              6 with value 35               2 with value 47
% 0.71/0.86  ;    10 with value 26              9 with value 36               1 with value 52
% 0.71/0.86  ; The agenda of rows to give has 134 entries:
% 0.71/0.86  ;     1 with value (4 6)          11 with value (4 13)           8 with value (4 19)
% 0.71/0.86  ;     5 with value (4 8)          12 with value (4 14)           1 with value (4 20)
% 0.71/0.86  ;    10 with value (4 9)           7 with value (4 15)           1 with value (4 21)
% 0.71/0.86  ;    11 with value (4 10)          8 with value (4 16)           1 with value (4 22)
% 0.71/0.86  ;    19 with value (4 11)          6 with value (4 17)           2 with value (4 24)
% 0.71/0.86  ;    12 with value (4 12)         18 with value (4 18)           1 with value (4 30)
% 0.71/0.86  Evaluation took:
% 0.71/0.86    0.385 seconds of real time
% 0.71/0.86    0.364827 seconds of user run time
% 0.71/0.86    0.020089 seconds of system run time
% 0.71/0.86    [Run times include 0.006 seconds GC run time.]
% 0.71/0.86    0 calls to %EVAL
% 0.71/0.86    0 page faults and
% 0.71/0.86    24,763,672 bytes consed.
% 0.71/0.86  :PROOF-FOUND
% 0.71/0.86  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T19:13:56
% 0.71/0.86  :PROOF-FOUND
% 0.71/0.86  * 
%------------------------------------------------------------------------------