TSTP Solution File: SYN268-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN268-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 11:58:51 EDT 2022

% Result   : Unsatisfiable 0.45s 0.62s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   20 (  11 unt;   0 nHn;  12 RR)
%            Number of literals    :   31 (   0 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   34 (  18 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_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_286,axiom,
    ( p4(X,X,X)
    | ~ q3(Y,Z)
    | ~ n3(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_286) ).

cnf(prove_this,negated_conjecture,
    ~ p4(a,X,Y),
    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(453,plain,
    ( p4(X,X,X)
    | ~ q3(Y,Z) ),
    inference('REWRITE',[status(thm)],[rule_286,450]) ).

cnf(457,plain,
    ~ q3(X,Y),
    inference('UR-RESOLVE',[status(thm)],[453,prove_this]) ).

cnf(459,plain,
    ( ~ q2(X,Y,Z)
    | ~ n0(X,Y) ),
    inference('REWRITE',[status(thm)],[rule_255,457]) ).

cnf(460,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[459,420,axiom_30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN268-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n014.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 12:27:19 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T12:27:19
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-11T12:27:19
% 0.20/0.56  WARNING:
% 0.20/0.56     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.56  WARNING:
% 0.20/0.56     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.56  WARNING:
% 0.20/0.56     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.45/0.62  
% 0.45/0.62  
% 0.45/0.62  #||
% 0.45/0.62  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.62  % SZS output start Refutation
% See solution above
% 0.45/0.62  ||#
% 0.45/0.62  
% 0.45/0.62  ; Summary of computation:
% 0.45/0.62  ;       681 formulas have been input or derived (from 129 formulas).
% 0.45/0.62  ;       460 (68%) were retained.  Of these,
% 0.45/0.62  ;          182 (40%) were simplified or subsumed later,
% 0.45/0.62  ;          278 (60%) are still being kept.
% 0.45/0.62  ; 
% 0.45/0.62  ; Run time in seconds excluding printing time:
% 0.45/0.62  ;     0.061  43%   Read assertion file          (1 call)
% 0.45/0.62  ;     0.010   7%   Assert                       (369 calls)
% 0.45/0.62  ;     0.013   9%   Process new row              (562 calls)
% 0.45/0.62  ;     0.005   4%   Resolution                   (256 calls)
% 0.45/0.62  ;     0.001   1%   Paramodulation               (128 calls)
% 0.45/0.62  ;     0.004   3%   Condensing                   (322 calls)
% 0.45/0.62  ;     0.005   4%   Forward subsumption          (322 calls)
% 0.45/0.62  ;     0.008   6%   Backward subsumption         (308 calls)
% 0.45/0.62  ;     0.001   1%   Clause clause subsumption    (163 calls)
% 0.45/0.62  ;     0.003   2%   Forward simplification       (539 calls)
% 0.45/0.62  ;     0.005   4%   Backward simplification      (413 calls)
% 0.45/0.62  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.45/0.62  ;     0.001   1%   Purity testing               (1 call)
% 0.45/0.62  ;     0.023  16%   Other
% 0.45/0.62  ;     0.141        Total
% 0.45/0.62  ;     0.142        Real time
% 0.45/0.62  ; 
% 0.45/0.62  ; Term-hash-array has 564 terms in all.
% 0.45/0.62  ; Feature-vector-row-index has 196 entries (273 at peak, 308 added, 112 deleted).
% 0.45/0.62  ; Feature-vector-row-index has 699 nodes (936 at peak, 1,052 added, 353 deleted).
% 0.45/0.62  ;  Retrieved 139 possibly forward subsuming rows in 322 calls.
% 0.45/0.62  ;  Retrieved 152 possibly backward subsumed rows in 308 calls.
% 0.45/0.62  ; Path-index has 459 entries (528 at peak, 603 added, 144 deleted).
% 0.45/0.62  ; Path-index has 448 nodes (464 at peak, 509 added, 61 deleted).
% 0.45/0.62  ; Trie-index has 459 entries (528 at peak, 603 added, 144 deleted).
% 0.45/0.62  ; Trie-index has 540 nodes (588 at peak, 700 added, 160 deleted).
% 0.45/0.62  ; Retrieved 185 generalization terms in 621 calls.
% 0.45/0.62  ; Retrieved 288 instance terms in 104 calls.
% 0.45/0.62  ; Retrieved 2,803 unifiable terms in 497 calls.
% 0.45/0.62  ; 
% 0.45/0.62  ; The agenda of rows to process has 9 entries:
% 0.45/0.62  ;     1 with value 5               8 with value 6
% 0.45/0.62  ; The agenda of input rows to give has 146 entries:
% 0.45/0.62  ;    19 with value 10             17 with value 15               7 with value 19
% 0.45/0.62  ;     7 with value 11             10 with value 16               6 with value 20
% 0.45/0.62  ;    22 with value 12             11 with value 17               3 with value 21
% 0.45/0.62  ;    30 with value 13              6 with value 18               1 with value 22
% 0.45/0.62  ;     7 with value 14
% 0.45/0.62  ; The agenda of rows to give has 42 entries:
% 0.45/0.62  ;    10 with value (4 4)           7 with value (4 5)           25 with value (4 6)
% 0.45/0.62  Evaluation took:
% 0.45/0.62    0.143 seconds of real time
% 0.45/0.62    0.132863 seconds of user run time
% 0.45/0.62    0.010174 seconds of system run time
% 0.45/0.62    0 calls to %EVAL
% 0.45/0.62    0 page faults and
% 0.45/0.62    8,376,752 bytes consed.
% 0.45/0.62  :PROOF-FOUND
% 0.45/0.62  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T12:27:19
% 0.45/0.62  :PROOF-FOUND
% 0.45/0.62  * 
%------------------------------------------------------------------------------