TSTP Solution File: ALG398-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG398-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 : Thu Jul 14 18:00:43 EDT 2022

% Result   : Unsatisfiable 0.60s 0.84s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   17 (  13 unt;   1 nHn;  10 RR)
%            Number of literals    :   22 (  13 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_mult__1__left_0,axiom,
    ( ~ class_OrderedGroup_Omonoid__mult(X)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X),Y,X) = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__1__left_0) ).

cnf(cls_pc0_0,axiom,
    c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pc0_0) ).

cnf(cls_pqc0_0,axiom,
    c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pqc0_0) ).

cnf(cls_left__inverse_0,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(Y,X),Y,X) = c_HOL_Oone__class_Oone(X)
    | Y = c_HOL_Ozero__class_Ozero(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_left__inverse_0) ).

cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(Y,Z,X),U,X) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(Y,U,X),Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I16_J_0) ).

cnf(cls_poly__smult_0,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X)
    | c_Polynomial_Opoly(c_Polynomial_Osmult(Y,Z,X),U,X) = c_HOL_Otimes__class_Otimes(Y,c_Polynomial_Opoly(Z,U,X),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__smult_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(586,plain,
    c_Polynomial_Opoly(v_q____,v_x,tc_Complex_Ocomplex) != c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_pqc0_0,theory(equality)]) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom,
    class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).

cnf(793,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X,tc_Complex_Ocomplex) = X,
    inference('HYPERRESOLVE',[status(thm)],[cls_mult__1__left_0,clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult]) ).

cnf(927,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_pa____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference('UR-RESOLVE',[status(thm)],[cls_left__inverse_0,clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,cls_pc0_0]) ).

cnf(933,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X,Z,tc_Complex_Ocomplex),Y,tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_class__semiring_Osemiring__rules_I16_J_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1]) ).

cnf(935,plain,
    c_Polynomial_Opoly(c_Polynomial_Osmult(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X,c_Polynomial_Opoly(Y,Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_poly__smult_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0]) ).

cnf(936,plain,
    $false,
    inference('REWRITE',[status(thm)],[586,793,927,933,935,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : ALG398-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  9 00:20:04 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T00:20:04
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-09T00:20:04
% 0.46/0.68  WARNING:
% 0.46/0.68     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.68  WARNING:
% 0.46/0.68     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.68  WARNING:
% 0.46/0.68     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.68  WARNING:
% 0.46/0.68     |class_OrderedGroup_Olordered__ab__group__add__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.68  WARNING:
% 0.46/0.68     |class_Ring__and__Field_Olordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.68  WARNING:
% 0.46/0.68     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.60/0.84  
% 0.60/0.84  
% 0.60/0.84  #||
% 0.60/0.84  % SZS status Unsatisfiable for /export/starexec/sandbox2/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  ;      1560 formulas have been input or derived (from 431 formulas).
% 0.60/0.84  ;       936 (60%) were retained.  Of these,
% 0.60/0.84  ;           18 ( 2%) were simplified or subsumed later,
% 0.60/0.84  ;          918 (98%) are still being kept.
% 0.60/0.84  ; 
% 0.60/0.84  ; Run time in seconds excluding printing time:
% 0.60/0.84  ;     0.184  49%   Read assertion file          (1 call)
% 0.60/0.84  ;     0.019   5%   Assert                       (959 calls)
% 0.60/0.84  ;     0.053  14%   Process new row              (1,416 calls)
% 0.60/0.84  ;     0.028   7%   Resolution                   (860 calls)
% 0.60/0.84  ;     0.002   1%   Paramodulation               (430 calls)
% 0.60/0.84  ;     0.009   2%   Condensing                   (731 calls)
% 0.60/0.84  ;     0.012   3%   Forward subsumption          (731 calls)
% 0.60/0.84  ;     0.010   3%   Backward subsumption         (654 calls)
% 0.60/0.84  ;     0.005   1%   Clause clause subsumption    (695 calls)
% 0.60/0.84  ;     0.019   5%   Forward simplification       (1,258 calls)
% 0.60/0.84  ;     0.003   1%   Backward simplification      (935 calls)
% 0.60/0.84  ;     0.003   1%   Ordering                     (517 calls)
% 0.60/0.84  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.60/0.84  ;     0.003   1%   Purity testing               (1 call)
% 0.60/0.84  ;     0.025   7%   Other
% 0.60/0.84  ;     0.375        Total
% 0.60/0.84  ;     0.377        Real time
% 0.60/0.84  ; 
% 0.60/0.84  ; Term-hash-array has 1,609 terms in all.
% 0.60/0.84  ; Feature-vector-row-index has 650 entries (650 at peak, 654 added, 4 deleted).
% 0.60/0.84  ; Feature-vector-row-index has 2,078 nodes (2,078 at peak, 2,097 added, 19 deleted).
% 0.60/0.84  ;  Retrieved 520 possibly forward subsuming rows in 731 calls.
% 0.60/0.84  ;  Retrieved 430 possibly backward subsumed rows in 654 calls.
% 0.60/0.84  ; Path-index has 1,586 entries (1,591 at peak, 1,628 added, 42 deleted).
% 0.60/0.84  ; Path-index has 4,705 nodes (4,733 at peak, 4,768 added, 63 deleted).
% 0.60/0.84  ; Trie-index has 1,586 entries (1,591 at peak, 1,628 added, 42 deleted).
% 0.60/0.84  ; Trie-index has 6,300 nodes (6,356 at peak, 6,512 added, 212 deleted).
% 0.60/0.84  ; Retrieved 698 generalization terms in 1,689 calls.
% 0.60/0.84  ; Retrieved 372 instance terms in 304 calls.
% 0.60/0.84  ; Retrieved 28,035 unifiable terms in 2,151 calls.
% 0.60/0.84  ; 
% 0.60/0.84  ; The agenda of rows to process has 2 entries:
% 0.60/0.84  ;     2 with value 19
% 0.60/0.84  ; The agenda of input rows to give has 274 entries:
% 0.60/0.84  ;     1 with value 21              8 with value 30              14 with value 39
% 0.60/0.84  ;    25 with value 22              4 with value 31               3 with value 42
% 0.60/0.84  ;     8 with value 23              4 with value 32               3 with value 43
% 0.60/0.84  ;    36 with value 24              8 with value 33               1 with value 44
% 0.60/0.84  ;    25 with value 25              6 with value 34               1 with value 45
% 0.60/0.84  ;    21 with value 26              5 with value 35               2 with value 46
% 0.60/0.84  ;    75 with value 27              1 with value 36               1 with value 47
% 0.60/0.84  ;     8 with value 28              7 with value 37               1 with value 52
% 0.60/0.84  ;     5 with value 29              1 with value 38
% 0.60/0.84  ; The agenda of rows to give has 213 entries:
% 0.60/0.84  ;    53 with value (4 6)          11 with value (4 13)          27 with value (4 19)
% 0.60/0.84  ;     6 with value (4 8)          10 with value (4 14)           2 with value (4 20)
% 0.60/0.84  ;     4 with value (4 9)          12 with value (4 15)           2 with value (4 24)
% 0.60/0.84  ;     6 with value (4 10)         17 with value (4 16)           2 with value (4 26)
% 0.60/0.84  ;    20 with value (4 11)         15 with value (4 17)           1 with value (4 27)
% 0.60/0.84  ;    16 with value (4 12)          8 with value (4 18)           1 with value (4 28)
% 0.60/0.84  Evaluation took:
% 0.60/0.84    0.377 seconds of real time
% 0.60/0.84    0.35119 seconds of user run time
% 0.60/0.84    0.026265 seconds of system run time
% 0.60/0.84    [Run times include 0.005 seconds GC run time.]
% 0.60/0.84    0 calls to %EVAL
% 0.60/0.85    0 page faults and
% 0.60/0.85    24,972,392 bytes consed.
% 0.60/0.85  :PROOF-FOUND
% 0.60/0.85  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T00:20:05
% 0.60/0.85  :PROOF-FOUND
% 0.60/0.85  * 
%------------------------------------------------------------------------------