TSTP Solution File: SWV603-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV603-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 21:35:25 EDT 2022

% Result   : Unsatisfiable 0.72s 0.90s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   11 (   9 unt;   0 nHn;  10 RR)
%            Number of literals    :   13 (   5 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   5 con; 0-3 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_zero__less__one_0,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X),c_HOL_Oone__class_Oone(X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zero__less__one_0) ).

cnf(cls_not__real__square__gt__zero_1,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__real__square__gt__zero_1) ).

cnf(cls_real__sqrt__less__iff_0,axiom,
    ( c_HOL_Oord__class_Oless(X,Y,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X),c_NthRoot_Osqrt(Y),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__less__iff_0) ).

cnf(cls_real__sqrt__abs2_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X,X,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__abs2_0) ).

cnf(cls_real__sqrt__zero_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__zero_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(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),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = 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_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(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),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(784,plain,
    c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_conjecture_0,theory(equality)]) ).

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

cnf(971,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('HYPERRESOLVE',[status(thm)],[cls_zero__less__one_0,clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom]) ).

cnf(1081,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_real__sqrt__less__iff_0,cls_not__real__square__gt__zero_1]),971,784,cls_real__sqrt__abs2_0,cls_real__sqrt__zero_0,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV603-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun 14 17:49:54 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T17:49:54
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-14T17:49:54
% 0.57/0.72  WARNING:
% 0.57/0.72     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.57/0.72  WARNING:
% 0.57/0.72     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.72/0.90  
% 0.72/0.90  
% 0.72/0.90  #||
% 0.72/0.90  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/0.90  % SZS output start Refutation
% See solution above
% 0.72/0.90  ||#
% 0.72/0.90  
% 0.72/0.90  ; Summary of computation:
% 0.72/0.90  ;      1495 formulas have been input or derived (from 246 formulas).
% 0.72/0.90  ;      1081 (72%) were retained.  Of these,
% 0.72/0.90  ;           52 ( 5%) were simplified or subsumed later,
% 0.72/0.90  ;         1029 (95%) are still being kept.
% 0.72/0.90  ; 
% 0.72/0.90  ; Run time in seconds excluding printing time:
% 0.72/0.90  ;     0.206  48%   Read assertion file          (1 call)
% 0.72/0.90  ;     0.029   7%   Assert                       (1,111 calls)
% 0.72/0.90  ;     0.068  16%   Process new row              (1,419 calls)
% 0.72/0.90  ;     0.013   3%   Resolution                   (490 calls)
% 0.72/0.90  ;     0.004   1%   Paramodulation               (245 calls)
% 0.72/0.90  ;     0.000   0%   Factoring                    (1 call)
% 0.72/0.90  ;     0.019   4%   Condensing                   (834 calls)
% 0.72/0.90  ;     0.018   4%   Forward subsumption          (834 calls)
% 0.72/0.90  ;     0.015   3%   Backward subsumption         (657 calls)
% 0.72/0.90  ;     0.007   2%   Clause clause subsumption    (1,144 calls)
% 0.72/0.90  ;     0.015   3%   Forward simplification       (1,415 calls)
% 0.72/0.90  ;     0.003   1%   Backward simplification      (1,066 calls)
% 0.72/0.90  ;     0.002   0%   Ordering                     (391 calls)
% 0.72/0.90  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.72/0.90  ;     0.002   0%   Purity testing               (1 call)
% 0.72/0.90  ;     0.029   7%   Other
% 0.72/0.90  ;     0.430        Total
% 0.72/0.90  ;     0.432        Real time
% 0.72/0.90  ; 
% 0.72/0.90  ; Term-hash-array has 1,644 terms in all.
% 0.72/0.90  ; Feature-vector-row-index has 636 entries (636 at peak, 657 added, 21 deleted).
% 0.72/0.90  ; Feature-vector-row-index has 2,493 nodes (2,493 at peak, 2,610 added, 117 deleted).
% 0.72/0.90  ;  Retrieved 1,139 possibly forward subsuming rows in 834 calls.
% 0.72/0.90  ;  Retrieved 507 possibly backward subsumed rows in 657 calls.
% 0.72/0.90  ; Path-index has 1,591 entries (1,591 at peak, 1,688 added, 97 deleted).
% 0.72/0.90  ; Path-index has 5,206 nodes (5,206 at peak, 5,332 added, 126 deleted).
% 0.72/0.90  ; Trie-index has 1,591 entries (1,591 at peak, 1,688 added, 97 deleted).
% 0.72/0.90  ; Trie-index has 6,729 nodes (6,729 at peak, 7,226 added, 497 deleted).
% 0.72/0.90  ; Retrieved 646 generalization terms in 4,214 calls.
% 0.72/0.90  ; Retrieved 450 instance terms in 412 calls.
% 0.72/0.90  ; Retrieved 17,915 unifiable terms in 1,275 calls.
% 0.72/0.90  ; 
% 0.72/0.90  ; The agenda of rows to process has 2 entries:
% 0.72/0.90  ;     2 with value 19
% 0.72/0.90  ; The agenda of input rows to give has 664 entries:
% 0.72/0.90  ;    27 with value 13             12 with value 26              17 with value 39
% 0.72/0.90  ;    31 with value 14             86 with value 27               9 with value 40
% 0.72/0.90  ;    40 with value 15             10 with value 28               1 with value 42
% 0.72/0.90  ;    16 with value 16             10 with value 29               3 with value 43
% 0.72/0.90  ;    26 with value 17             27 with value 30               1 with value 44
% 0.72/0.90  ;    54 with value 18              9 with value 31               1 with value 45
% 0.72/0.90  ;    39 with value 19              5 with value 32               2 with value 46
% 0.72/0.90  ;    35 with value 20              7 with value 33               1 with value 47
% 0.72/0.90  ;    29 with value 21              8 with value 34               2 with value 48
% 0.72/0.90  ;    17 with value 22              6 with value 35               1 with value 51
% 0.72/0.90  ;     8 with value 23             13 with value 36               2 with value 54
% 0.72/0.90  ;    54 with value 24              8 with value 37               1 with value 70
% 0.72/0.90  ;    26 with value 25             19 with value 38               1 with value 83
% 0.72/0.90  ; The agenda of rows to give has 119 entries:
% 0.72/0.90  ;     4 with value (4 6)          13 with value (4 12)           2 with value (4 17)
% 0.72/0.90  ;     5 with value (4 8)           9 with value (4 13)           3 with value (4 18)
% 0.72/0.90  ;    24 with value (4 9)          10 with value (4 14)           3 with value (4 19)
% 0.72/0.90  ;    10 with value (4 10)          9 with value (4 15)           1 with value (4 22)
% 0.72/0.90  ;    24 with value (4 11)          2 with value (4 16)
% 0.72/0.90  Evaluation took:
% 0.72/0.90    0.433 seconds of real time
% 0.72/0.90    0.424617 seconds of user run time
% 0.72/0.90    0.007602 seconds of system run time
% 0.72/0.90    [Run times include 0.016 seconds GC run time.]
% 0.72/0.90    0 calls to %EVAL
% 0.72/0.90    0 page faults and
% 0.72/0.90    29,153,800 bytes consed.
% 0.72/0.90  :PROOF-FOUND
% 0.72/0.90  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T17:49:54
% 0.72/0.90  :PROOF-FOUND
% 0.72/0.90  * 
%------------------------------------------------------------------------------