TSTP Solution File: SYN182-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN182-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : Thu Jul 21 11:58:16 EDT 2022

% Result   : Unsatisfiable 0.46s 0.64s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   19 (  11 unt;   0 nHn;  11 RR)
%            Number of literals    :   29 (   0 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   26 (   9 sgn)

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

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

cnf(rule_085,axiom,
    ( p1(X,X,X)
    | ~ p0(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_085) ).

cnf(rule_110,axiom,
    ( q1(X,X,X)
    | ~ m0(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_110) ).

cnf(rule_154,axiom,
    ( p2(X,X,X)
    | ~ q1(X,X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_154) ).

cnf(rule_181,axiom,
    ( q2(X,X,X)
    | ~ p1(X,X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).

cnf(rule_205,axiom,
    ( k3(X,X,X)
    | ~ p2(Y,X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_205) ).

cnf(rule_238,axiom,
    ( m3(X,X,X)
    | ~ p2(X,X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_238) ).

cnf(rule_295,axiom,
    ( q4(X,Y)
    | ~ k3(Z,Z,X)
    | ~ q2(U,Y,X)
    | ~ m3(U,V,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_295) ).

cnf(rule_325,axiom,
    ( q5(X,X)
    | ~ q4(X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_325) ).

cnf(prove_this,negated_conjecture,
    ~ q5(X,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(421,plain,
    ~ q4(c,c),
    inference('UR-RESOLVE',[status(thm)],[rule_325,prove_this]) ).

cnf(426,plain,
    p1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_085,axiom_14]) ).

cnf(428,plain,
    q2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_181,426]) ).

cnf(453,plain,
    q1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).

cnf(455,plain,
    p2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_154,453]) ).

cnf(456,plain,
    m3(X,X,X),
    inference('REWRITE',[status(thm)],[rule_238,455]) ).

cnf(465,plain,
    k3(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_205,455]) ).

cnf(670,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[rule_295,465,421,428,456]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN182-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 12:18:22 EDT 2022
% 0.12/0.34  % 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 2022-07-11T12:18:22
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-11T12:18:22
% 0.19/0.55  WARNING:
% 0.19/0.55     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.55  WARNING:
% 0.19/0.55     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64  
% 0.46/0.64  
% 0.46/0.64  #||
% 0.46/0.64  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.64  % SZS output start Refutation
% See solution above
% 0.46/0.65  ||#
% 0.46/0.65  
% 0.46/0.65  ; Summary of computation:
% 0.46/0.65  ;      1513 formulas have been input or derived (from 355 formulas).
% 0.46/0.65  ;       670 (44%) were retained.  Of these,
% 0.46/0.65  ;          347 (52%) were simplified or subsumed later,
% 0.46/0.65  ;          323 (48%) are still being kept.
% 0.46/0.65  ; 
% 0.46/0.65  ; Run time in seconds excluding printing time:
% 0.46/0.65  ;     0.062  35%   Read assertion file          (1 call)
% 0.46/0.65  ;     0.008   5%   Assert                       (369 calls)
% 0.46/0.65  ;     0.031  18%   Process new row              (1,249 calls)
% 0.46/0.65  ;     0.013   7%   Resolution                   (708 calls)
% 0.46/0.65  ;     0.002   1%   Paramodulation               (354 calls)
% 0.46/0.65  ;     0.001   1%   Condensing                   (359 calls)
% 0.46/0.65  ;     0.001   1%   Forward subsumption          (359 calls)
% 0.46/0.65  ;     0.006   3%   Backward subsumption         (345 calls)
% 0.46/0.65  ;     0.001   1%   Clause clause subsumption    (170 calls)
% 0.46/0.65  ;     0.013   7%   Forward simplification       (1,189 calls)
% 0.46/0.65  ;     0.008   5%   Backward simplification      (623 calls)
% 0.46/0.65  ;     0.002   1%   Sortal reasoning             (32 calls)
% 0.46/0.65  ;     0.002   1%   Purity testing               (1 call)
% 0.46/0.65  ;     0.025  14%   Other
% 0.46/0.65  ;     0.175        Total
% 0.46/0.65  ;     0.177        Real time
% 0.46/0.65  ; 
% 0.46/0.65  ; Term-hash-array has 704 terms in all.
% 0.46/0.65  ; Feature-vector-row-index has 129 entries (278 at peak, 345 added, 216 deleted).
% 0.46/0.65  ; Feature-vector-row-index has 456 nodes (944 at peak, 1,191 added, 735 deleted).
% 0.46/0.65  ;  Retrieved 149 possibly forward subsuming rows in 359 calls.
% 0.46/0.65  ;  Retrieved 165 possibly backward subsumed rows in 345 calls.
% 0.46/0.65  ; Path-index has 469 entries (535 at peak, 804 added, 335 deleted).
% 0.46/0.65  ; Path-index has 465 nodes (477 at peak, 604 added, 139 deleted).
% 0.46/0.65  ; Trie-index has 469 entries (535 at peak, 804 added, 335 deleted).
% 0.46/0.65  ; Trie-index has 638 nodes (649 at peak, 1,021 added, 383 deleted).
% 0.46/0.65  ; Retrieved 799 generalization terms in 1,279 calls.
% 0.46/0.65  ; Retrieved 640 instance terms in 277 calls.
% 0.46/0.65  ; Retrieved 12,594 unifiable terms in 2,804 calls.
% 0.46/0.65  ; 
% 0.46/0.65  ; The agenda of rows to process has 26 entries:
% 0.46/0.65  ;     6 with value 6              20 with value 7
% 0.46/0.65  ; The agenda of rows to give has 102 entries:
% 0.46/0.65  ;    45 with value (4 6)          55 with value (4 7)            2 with value (4 8)
% 0.46/0.65  Evaluation took:
% 0.46/0.65    0.177 seconds of real time
% 0.46/0.65    0.163062 seconds of user run time
% 0.46/0.65    0.013748 seconds of system run time
% 0.46/0.65    0 calls to %EVAL
% 0.46/0.65    0 page faults and
% 0.46/0.65    10,551,192 bytes consed.
% 0.46/0.65  :PROOF-FOUND
% 0.46/0.65  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T12:18:22
% 0.46/0.65  :PROOF-FOUND
% 0.46/0.65  * 
%------------------------------------------------------------------------------