TSTP Solution File: SYN121-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN121-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 11:57:51 EDT 2022

% Result   : Unsatisfiable 0.44s 0.63s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   16 (  10 unt;   0 nHn;  10 RR)
%            Number of literals    :   29 (   0 equ;  15 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   22 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_11,axiom,
    n0(e,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_11) ).

cnf(axiom_14,axiom,
    p0(b,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(axiom_17,axiom,
    q0(X,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).

cnf(axiom_19,axiom,
    m0(X,d,Y),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

cnf(rule_125,axiom,
    ( s1(X)
    | ~ p0(X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).

cnf(rule_126,axiom,
    ( s1(X)
    | ~ q0(X,Y)
    | ~ s1(Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).

cnf(rule_131,axiom,
    ( l2(X,Y)
    | ~ s1(X)
    | ~ n0(e,Y)
    | ~ l2(Y,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_131) ).

cnf(rule_133,axiom,
    ( l2(X,X)
    | ~ p0(Y,Y)
    | ~ s1(Z)
    | ~ m0(U,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).

cnf(prove_this,negated_conjecture,
    ~ l2(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

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

cnf(528,plain,
    s1(X),
    inference('HYPERRESOLVE',[status(thm)],[rule_126,391,axiom_17]) ).

cnf(531,plain,
    ( l2(X,X)
    | ~ p0(Y,Y)
    | ~ m0(Z,U,X) ),
    inference('REWRITE',[status(thm)],[rule_133,528]) ).

cnf(532,plain,
    ( l2(X,Y)
    | ~ n0(e,Y)
    | ~ l2(Y,Y) ),
    inference('REWRITE',[status(thm)],[rule_131,528]) ).

cnf(540,plain,
    ~ l2(b,b),
    inference('UR-RESOLVE',[status(thm)],[532,prove_this,axiom_11]) ).

cnf(544,plain,
    l2(X,X),
    inference('HYPERRESOLVE',[status(thm)],[531,axiom_14,axiom_19]) ).

cnf(545,plain,
    $false,
    inference('REWRITE',[status(thm)],[540,544]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN121-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n005.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 : Tue Jul 12 05:57:52 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T05:57:52
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-12T05:57:52
% 0.19/0.56  WARNING:
% 0.19/0.56     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.56  WARNING:
% 0.19/0.56     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.56  WARNING:
% 0.19/0.56     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.44/0.63  
% 0.44/0.63  
% 0.44/0.63  #||
% 0.44/0.63  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/0.63  % SZS output start Refutation
% See solution above
% 0.44/0.63  ||#
% 0.44/0.63  
% 0.44/0.63  ; Summary of computation:
% 0.44/0.63  ;      1003 formulas have been input or derived (from 274 formulas).
% 0.44/0.63  ;       545 (54%) were retained.  Of these,
% 0.44/0.63  ;          274 (50%) were simplified or subsumed later,
% 0.44/0.63  ;          271 (50%) are still being kept.
% 0.44/0.63  ; 
% 0.44/0.63  ; Run time in seconds excluding printing time:
% 0.44/0.63  ;     0.062  40%   Read assertion file          (1 call)
% 0.44/0.63  ;     0.010   6%   Assert                       (369 calls)
% 0.44/0.63  ;     0.024  16%   Process new row              (855 calls)
% 0.44/0.63  ;     0.010   6%   Resolution                   (546 calls)
% 0.44/0.63  ;     0.000   0%   Paramodulation               (273 calls)
% 0.44/0.63  ;     0.002   1%   Condensing                   (334 calls)
% 0.44/0.63  ;     0.002   1%   Forward subsumption          (334 calls)
% 0.44/0.63  ;     0.009   6%   Backward subsumption         (320 calls)
% 0.44/0.63  ;     0.000   0%   Clause clause subsumption    (165 calls)
% 0.44/0.63  ;     0.011   7%   Forward simplification       (797 calls)
% 0.44/0.63  ;     0.005   3%   Backward simplification      (498 calls)
% 0.44/0.63  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.44/0.63  ;     0.001   1%   Purity testing               (1 call)
% 0.44/0.63  ;     0.018  12%   Other
% 0.44/0.63  ;     0.154        Total
% 0.44/0.63  ;     0.154        Real time
% 0.44/0.63  ; 
% 0.44/0.63  ; Term-hash-array has 620 terms in all.
% 0.44/0.63  ; Feature-vector-row-index has 148 entries (273 at peak, 320 added, 172 deleted).
% 0.44/0.63  ; Feature-vector-row-index has 550 nodes (936 at peak, 1,107 added, 557 deleted).
% 0.44/0.63  ;  Retrieved 143 possibly forward subsuming rows in 334 calls.
% 0.44/0.63  ;  Retrieved 155 possibly backward subsumed rows in 320 calls.
% 0.44/0.63  ; Path-index has 441 entries (527 at peak, 687 added, 246 deleted).
% 0.44/0.63  ; Path-index has 440 nodes (463 at peak, 535 added, 95 deleted).
% 0.44/0.63  ; Trie-index has 441 entries (527 at peak, 687 added, 246 deleted).
% 0.44/0.63  ; Trie-index has 554 nodes (585 at peak, 831 added, 277 deleted).
% 0.44/0.63  ; Retrieved 428 generalization terms in 883 calls.
% 0.44/0.63  ; Retrieved 474 instance terms in 177 calls.
% 0.44/0.63  ; Retrieved 7,594 unifiable terms in 1,585 calls.
% 0.44/0.63  ; 
% 0.44/0.63  ; The agenda of backward simplifiable rows to process has 5 entries:
% 0.44/0.63  ;     5 with value 0
% 0.44/0.63  ; The agenda of rows to process has 4 entries:
% 0.44/0.63  ;     4 with value 5
% 0.44/0.63  ; The agenda of input rows to give has 4 entries:
% 0.44/0.63  ;     3 with value 14              1 with value 18
% 0.44/0.63  ; The agenda of rows to give has 76 entries:
% 0.44/0.63  ;     4 with value (4 4)          40 with value (4 6)           17 with value (4 7)
% 0.44/0.63  ;    15 with value (4 5)
% 0.44/0.63  Evaluation took:
% 0.44/0.63    0.155 seconds of real time
% 0.44/0.63    0.145525 seconds of user run time
% 0.44/0.63    0.009267 seconds of system run time
% 0.44/0.63    0 calls to %EVAL
% 0.44/0.63    0 page faults and
% 0.44/0.63    9,144,216 bytes consed.
% 0.44/0.63  :PROOF-FOUND
% 0.44/0.63  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T05:57:52
% 0.44/0.63  :PROOF-FOUND
% 0.44/0.63  * 
%------------------------------------------------------------------------------