TSTP Solution File: SYN215-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN215-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 11:58:30 EDT 2022

% Result   : Unsatisfiable 0.48s 0.63s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   30 (  16 unt;   0 nHn;  21 RR)
%            Number of literals    :   51 (   0 equ;  25 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   47 (  25 sgn)

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

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

cnf(axiom_30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).

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

cnf(rule_110,axiom,
    ( q1(X,X,X)
    | ~ m0(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_110) ).

cnf(rule_154,axiom,
    ( p2(X,X,X)
    | ~ q1(X,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_154) ).

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_240,axiom,
    ( n3(X)
    | ~ p2(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).

cnf(rule_248,axiom,
    ( p3(X,X,X)
    | ~ p2(Y,X,X)
    | ~ n3(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_248) ).

cnf(rule_255,axiom,
    ( q3(X,Y)
    | ~ q2(Z,X,Y)
    | ~ n0(Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_255) ).

cnf(rule_277,axiom,
    ( l4(X)
    | ~ p3(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_277) ).

cnf(rule_278,axiom,
    ( l4(X)
    | ~ m0(Y,X,X)
    | ~ l4(Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_278) ).

cnf(rule_298,axiom,
    ( r4(X)
    | ~ n3(X)
    | ~ q3(Y,Z)
    | ~ p0(U,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_298) ).

cnf(rule_329,axiom,
    ( s5(X)
    | ~ l4(X)
    | ~ r4(Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_329) ).

cnf(prove_this,negated_conjecture,
    ~ s5(d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(418,plain,
    p1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_085,axiom_14]) ).

cnf(420,plain,
    q2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_181,418]) ).

cnf(445,plain,
    q1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).

cnf(447,plain,
    p2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_154,445]) ).

cnf(450,plain,
    n3(X),
    inference('HYPERRESOLVE',[status(thm)],[rule_240,447]) ).

cnf(452,plain,
    ( p3(X,X,X)
    | ~ p2(Y,X,X) ),
    inference('REWRITE',[status(thm)],[rule_248,450]) ).

cnf(454,plain,
    ( r4(X)
    | ~ q3(Y,Z)
    | ~ p0(U,X) ),
    inference('REWRITE',[status(thm)],[rule_298,450]) ).

cnf(459,plain,
    p3(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[452,447]) ).

cnf(491,plain,
    q3(e,e),
    inference('HYPERRESOLVE',[status(thm)],[rule_255,420,axiom_30]) ).

cnf(573,plain,
    r4(X),
    inference('HYPERRESOLVE',[status(thm)],[454,491,axiom_14]) ).

cnf(574,plain,
    ( s5(X)
    | ~ l4(X) ),
    inference('REWRITE',[status(thm)],[rule_329,573]) ).

cnf(577,plain,
    ~ l4(d),
    inference('UR-RESOLVE',[status(thm)],[574,prove_this]) ).

cnf(578,plain,
    ~ l4(X),
    inference('UR-RESOLVE',[status(thm)],[rule_278,577,axiom_19]) ).

cnf(579,plain,
    ~ p3(X,Y,Z),
    inference('REWRITE',[status(thm)],[rule_277,578]) ).

cnf(580,plain,
    $false,
    inference('REWRITE',[status(thm)],[459,579]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN215-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n008.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 : Mon Jul 11 12:51:38 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46  * 
% 0.21/0.46  * 
% 0.21/0.47  #<PACKAGE "SNARK-USER">
% 0.21/0.47  * 
% 0.21/0.47  SNARK-TPTP-OPTIONS
% 0.21/0.47  * 
% 0.21/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47   (USE-FACTORING :POS)
% 0.21/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47  * 
% 0.21/0.47  "."
% 0.21/0.47  * 
% 0.21/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T12:51:38
% 0.21/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-11T12:51:38
% 0.38/0.56  WARNING:
% 0.38/0.56     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.56  WARNING:
% 0.38/0.56     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.56  WARNING:
% 0.38/0.56     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.63  
% 0.48/0.63  
% 0.48/0.63  #||
% 0.48/0.63  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.63  % SZS output start Refutation
% See solution above
% 0.48/0.63  ||#
% 0.48/0.63  
% 0.48/0.63  ; Summary of computation:
% 0.48/0.63  ;      1150 formulas have been input or derived (from 303 formulas).
% 0.48/0.63  ;       580 (50%) were retained.  Of these,
% 0.48/0.63  ;          310 (53%) were simplified or subsumed later,
% 0.48/0.63  ;          270 (47%) are still being kept.
% 0.48/0.63  ; 
% 0.48/0.63  ; Run time in seconds excluding printing time:
% 0.48/0.63  ;     0.061  38%   Read assertion file          (1 call)
% 0.48/0.63  ;     0.008   5%   Assert                       (369 calls)
% 0.48/0.63  ;     0.022  14%   Process new row              (973 calls)
% 0.48/0.63  ;     0.008   5%   Resolution                   (604 calls)
% 0.48/0.63  ;     0.001   1%   Paramodulation               (302 calls)
% 0.48/0.63  ;     0.004   2%   Condensing                   (342 calls)
% 0.48/0.63  ;     0.004   2%   Forward subsumption          (342 calls)
% 0.48/0.63  ;     0.004   2%   Backward subsumption         (328 calls)
% 0.48/0.63  ;     0.000   0%   Clause clause subsumption    (169 calls)
% 0.48/0.63  ;     0.016  10%   Forward simplification       (909 calls)
% 0.48/0.63  ;     0.007   4%   Backward simplification      (533 calls)
% 0.48/0.63  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.48/0.63  ;     0.002   1%   Purity testing               (1 call)
% 0.48/0.63  ;     0.022  14%   Other
% 0.48/0.63  ;     0.160        Total
% 0.48/0.63  ;     0.163        Real time
% 0.48/0.63  ; 
% 0.48/0.63  ; Term-hash-array has 641 terms in all.
% 0.48/0.63  ; Feature-vector-row-index has 125 entries (273 at peak, 328 added, 203 deleted).
% 0.48/0.63  ; Feature-vector-row-index has 471 nodes (936 at peak, 1,138 added, 667 deleted).
% 0.48/0.63  ;  Retrieved 147 possibly forward subsuming rows in 342 calls.
% 0.48/0.63  ;  Retrieved 159 possibly backward subsumed rows in 328 calls.
% 0.48/0.63  ; Path-index has 416 entries (528 at peak, 719 added, 303 deleted).
% 0.48/0.63  ; Path-index has 430 nodes (464 at peak, 556 added, 126 deleted).
% 0.48/0.63  ; Trie-index has 416 entries (528 at peak, 719 added, 303 deleted).
% 0.48/0.63  ; Trie-index has 559 nodes (590 at peak, 884 added, 325 deleted).
% 0.48/0.63  ; Retrieved 529 generalization terms in 992 calls.
% 0.48/0.63  ; Retrieved 528 instance terms in 204 calls.
% 0.48/0.63  ; Retrieved 8,940 unifiable terms in 1,963 calls.
% 0.48/0.63  ; 
% 0.48/0.63  ; The agenda of backward simplifiable rows to process has 7 entries:
% 0.48/0.63  ;     7 with value 0
% 0.48/0.63  ; The agenda of rows to process has 1 entry:
% 0.48/0.63  ;     1 with value 7
% 0.48/0.63  ; The agenda of input rows to give has 1 entry:
% 0.48/0.63  ;     1 with value 5
% 0.48/0.63  ; The agenda of rows to give has 82 entries:
% 0.48/0.63  ;    10 with value (4 5)          52 with value (4 6)           20 with value (4 7)
% 0.48/0.63  Evaluation took:
% 0.48/0.63    0.164 seconds of real time
% 0.48/0.63    0.153392 seconds of user run time
% 0.48/0.63    0.009751 seconds of system run time
% 0.48/0.63    0 calls to %EVAL
% 0.48/0.63    0 page faults and
% 0.48/0.63    10,333,672 bytes consed.
% 0.48/0.63  :PROOF-FOUND
% 0.48/0.63  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T12:51:38
% 0.48/0.64  :PROOF-FOUND
% 0.48/0.64  * 
%------------------------------------------------------------------------------