TSTP Solution File: SYN201-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN201-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 21 11:58:24 EDT 2022

% Result   : Unsatisfiable 0.40s 0.61s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   7 unt;   0 nHn;   9 RR)
%            Number of literals    :   18 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    9 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_14,axiom,
    p0(b,X),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(rule_085,axiom,
    ( p1(X,X,X)
    | ~ p0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).

cnf(rule_125,axiom,
    ( s1(X)
    | ~ p0(X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).

cnf(rule_181,axiom,
    ( q2(X,X,X)
    | ~ p1(X,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).

cnf(rule_189,axiom,
    ( s2(X)
    | ~ q2(b,X,b)
    | ~ s1(b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_189) ).

cnf(prove_this,negated_conjecture,
    ~ s2(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(391,plain,
    s1(b),
    inference('HYPERRESOLVE',[status(thm)],[rule_125,axiom_14]) ).

cnf(392,plain,
    ( s2(X)
    | ~ q2(b,X,b) ),
    inference('REWRITE',[status(thm)],[rule_189,391]) ).

cnf(415,plain,
    ~ q2(b,b,b),
    inference('UR-RESOLVE',[status(thm)],[392,prove_this]) ).

cnf(419,plain,
    p1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_085,axiom_14]) ).

cnf(421,plain,
    q2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_181,419]) ).

cnf(422,plain,
    $false,
    inference('REWRITE',[status(thm)],[415,421]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN201-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n029.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 Jul 12 04:14:02 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:14:02
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-12T04:14:02
% 0.40/0.56  WARNING:
% 0.40/0.56     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.40/0.56  WARNING:
% 0.40/0.56     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.40/0.56  WARNING:
% 0.40/0.56     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.40/0.61  
% 0.40/0.61  
% 0.40/0.61  #||
% 0.40/0.61  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.61  % SZS output start Refutation
% See solution above
% 0.40/0.61  ||#
% 0.40/0.61  
% 0.40/0.61  ; Summary of computation:
% 0.40/0.61  ;       548 formulas have been input or derived (from 92 formulas).
% 0.40/0.61  ;       422 (77%) were retained.  Of these,
% 0.40/0.61  ;          106 (25%) were simplified or subsumed later,
% 0.40/0.61  ;          316 (75%) are still being kept.
% 0.40/0.61  ; 
% 0.40/0.61  ; Run time in seconds:
% 0.40/0.61  ;     0.062  48%   Read assertion file          (1 call)
% 0.40/0.61  ;     0.009   7%   Assert                       (369 calls)
% 0.40/0.61  ;     0.018  14%   Process new row              (468 calls)
% 0.40/0.61  ;     0.004   3%   Resolution                   (182 calls)
% 0.40/0.61  ;     0.000   0%   Paramodulation               (91 calls)
% 0.40/0.61  ;     0.001   1%   Condensing                   (309 calls)
% 0.40/0.61  ;     0.003   2%   Forward subsumption          (309 calls)
% 0.40/0.61  ;     0.005   4%   Backward subsumption         (295 calls)
% 0.40/0.61  ;     0.000   0%   Clause clause subsumption    (154 calls)
% 0.40/0.61  ;     0.006   5%   Forward simplification       (457 calls)
% 0.40/0.61  ;     0.002   2%   Backward simplification      (375 calls)
% 0.40/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.40/0.61  ;     0.001   1%   Purity testing               (1 call)
% 0.40/0.61  ;     0.019  15%   Other
% 0.40/0.61  ;     0.130        Total
% 0.40/0.61  ;     0.131        Real time
% 0.40/0.61  ; 
% 0.40/0.61  ; Term-hash-array has 546 terms in all.
% 0.40/0.61  ; Feature-vector-row-index has 247 entries (273 at peak, 295 added, 48 deleted).
% 0.40/0.61  ; Feature-vector-row-index has 827 nodes (936 at peak, 1,016 added, 189 deleted).
% 0.40/0.61  ;  Retrieved 136 possibly forward subsuming rows in 309 calls.
% 0.40/0.61  ;  Retrieved 137 possibly backward subsumed rows in 295 calls.
% 0.40/0.61  ; Path-index has 507 entries (528 at peak, 571 added, 64 deleted).
% 0.40/0.61  ; Path-index has 458 nodes (461 at peak, 491 added, 33 deleted).
% 0.40/0.61  ; Trie-index has 507 entries (528 at peak, 571 added, 64 deleted).
% 0.40/0.61  ; Trie-index has 570 nodes (586 at peak, 650 added, 80 deleted).
% 0.40/0.61  ; Retrieved 129 generalization terms in 538 calls.
% 0.40/0.61  ; Retrieved 136 instance terms in 79 calls.
% 0.40/0.61  ; Retrieved 2,045 unifiable terms in 356 calls.
% 0.40/0.61  ; 
% 0.40/0.61  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.40/0.61  ;     1 with value 0
% 0.40/0.61  ; The agenda of rows to process has 2 entries:
% 0.40/0.61  ;     2 with value 6
% 0.40/0.61  ; The agenda of input rows to give has 211 entries:
% 0.40/0.61  ;     1 with value 5              36 with value 13               9 with value 19
% 0.40/0.61  ;     1 with value 8              14 with value 14               6 with value 20
% 0.40/0.61  ;    19 with value 9              21 with value 15               3 with value 21
% 0.40/0.61  ;    33 with value 10             10 with value 16               3 with value 22
% 0.40/0.61  ;     9 with value 11             14 with value 17               1 with value 24
% 0.40/0.61  ;    24 with value 12              7 with value 18
% 0.40/0.61  ; The agenda of rows to give has 24 entries:
% 0.40/0.61  ;     8 with value (4 4)           5 with value (4 5)           11 with value (4 6)
% 0.40/0.61  Evaluation took:
% 0.40/0.61    0.131 seconds of real time
% 0.40/0.61    0.120417 seconds of user run time
% 0.40/0.61    0.011086 seconds of system run time
% 0.40/0.61    0 calls to %EVAL
% 0.40/0.61    0 page faults and
% 0.40/0.61    7,398,816 bytes consed.
% 0.40/0.61  :PROOF-FOUND
% 0.40/0.61  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:14:03
% 0.40/0.61  :PROOF-FOUND
% 0.40/0.61  * 
%------------------------------------------------------------------------------