TSTP Solution File: SYN202-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN202-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 0.48s 0.66s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   26 (  15 unt;   0 nHn;  20 RR)
%            Number of literals    :   48 (   0 equ;  25 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   30 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
    s0(d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).

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(axiom_28,axiom,
    k0(e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).

cnf(axiom_34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).

cnf(rule_001,axiom,
    ( k1(X)
    | ~ n0(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).

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

cnf(rule_109,axiom,
    ( q1(X,X,Y)
    | ~ p0(Z,Z)
    | ~ q0(Y,X)
    | ~ k1(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_109) ).

cnf(rule_124,axiom,
    ( r1(X)
    | ~ q0(X,Y)
    | ~ s0(d)
    | ~ q1(d,Y,d) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).

cnf(177,plain,
    ( r1(X)
    | ~ q0(X,Y)
    | ~ q1(d,Y,d) ),
    inference('REWRITE',[status(thm)],[rule_124,axiom_1]) ).

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

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_187,axiom,
    ( q2(X,Y,X)
    | ~ r1(Y)
    | ~ m0(Z,U,X)
    | ~ k0(Y)
    | ~ q2(Y,Y,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_187) ).

cnf(rule_189,axiom,
    ( s2(X)
    | ~ q2(b,X,b)
    | ~ s1(b) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_189) ).

cnf(prove_this,negated_conjecture,
    ~ s2(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(390,plain,
    k1(d),
    inference('HYPERRESOLVE',[status(thm)],[rule_001,axiom_34]) ).

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,e,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,
    ( q2(X,Y,X)
    | ~ r1(Y)
    | ~ m0(Z,U,X)
    | ~ k0(Y) ),
    inference('REWRITE',[status(thm)],[rule_187,421]) ).

cnf(522,plain,
    q1(d,d,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_109,390,axiom_14,axiom_17]) ).

cnf(614,plain,
    ~ r1(e),
    inference('UR-RESOLVE',[status(thm)],[422,415,axiom_19,axiom_28]) ).

cnf(615,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[177,614,axiom_17]),522]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN202-1 : TPTP v8.1.0. Released v1.1.0.
% 0.15/0.14  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Mon Jul 11 16:31:25 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49  * 
% 0.22/0.49  * 
% 0.22/0.49  #<PACKAGE "SNARK-USER">
% 0.22/0.49  * 
% 0.22/0.49  SNARK-TPTP-OPTIONS
% 0.22/0.49  * 
% 0.22/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49   (USE-FACTORING :POS)
% 0.22/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49  * 
% 0.22/0.49  "."
% 0.22/0.49  * 
% 0.22/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T16:31:25
% 0.22/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-11T16:31:25
% 0.42/0.58  WARNING:
% 0.42/0.58     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.42/0.58  WARNING:
% 0.42/0.58     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.42/0.58  WARNING:
% 0.42/0.58     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  
% 0.48/0.66  
% 0.48/0.66  #||
% 0.48/0.66  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.66  % SZS output start Refutation
% See solution above
% 0.48/0.66  ||#
% 0.48/0.66  
% 0.48/0.66  ; Summary of computation:
% 0.48/0.66  ;      1243 formulas have been input or derived (from 318 formulas).
% 0.48/0.66  ;       615 (49%) were retained.  Of these,
% 0.48/0.66  ;          305 (50%) were simplified or subsumed later,
% 0.48/0.66  ;          310 (50%) are still being kept.
% 0.48/0.66  ; 
% 0.48/0.66  ; Run time in seconds excluding printing time:
% 0.48/0.66  ;     0.062  38%   Read assertion file          (1 call)
% 0.52/0.66  ;     0.009   5%   Assert                       (369 calls)
% 0.52/0.66  ;     0.029  18%   Process new row              (1,062 calls)
% 0.52/0.66  ;     0.010   6%   Resolution                   (634 calls)
% 0.52/0.66  ;     0.003   2%   Paramodulation               (317 calls)
% 0.52/0.66  ;     0.003   2%   Condensing                   (344 calls)
% 0.52/0.66  ;     0.004   2%   Forward subsumption          (344 calls)
% 0.52/0.66  ;     0.003   2%   Backward subsumption         (330 calls)
% 0.52/0.66  ;     0.000   0%   Clause clause subsumption    (169 calls)
% 0.52/0.66  ;     0.006   4%   Forward simplification       (998 calls)
% 0.52/0.66  ;     0.010   6%   Backward simplification      (568 calls)
% 0.52/0.66  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.52/0.66  ;     0.001   1%   Purity testing               (1 call)
% 0.52/0.66  ;     0.023  14%   Other
% 0.52/0.66  ;     0.164        Total
% 0.52/0.66  ;     0.166        Real time
% 0.52/0.66  ; 
% 0.52/0.66  ; Term-hash-array has 668 terms in all.
% 0.52/0.66  ; Feature-vector-row-index has 134 entries (273 at peak, 330 added, 196 deleted).
% 0.52/0.66  ; Feature-vector-row-index has 486 nodes (936 at peak, 1,150 added, 664 deleted).
% 0.52/0.66  ;  Retrieved 147 possibly forward subsuming rows in 344 calls.
% 0.52/0.66  ;  Retrieved 159 possibly backward subsumed rows in 330 calls.
% 0.52/0.66  ; Path-index has 462 entries (526 at peak, 751 added, 289 deleted).
% 0.52/0.66  ; Path-index has 452 nodes (462 at peak, 571 added, 119 deleted).
% 0.52/0.66  ; Trie-index has 462 entries (526 at peak, 751 added, 289 deleted).
% 0.52/0.66  ; Trie-index has 619 nodes (624 at peak, 944 added, 325 deleted).
% 0.52/0.66  ; Retrieved 624 generalization terms in 1,086 calls.
% 0.52/0.66  ; Retrieved 561 instance terms in 237 calls.
% 0.52/0.66  ; Retrieved 10,097 unifiable terms in 2,259 calls.
% 0.52/0.66  ; 
% 0.52/0.66  ; The agenda of rows to give has 100 entries:
% 0.52/0.66  ;    53 with value (4 6)          45 with value (4 7)            2 with value (4 8)
% 0.52/0.66  Evaluation took:
% 0.52/0.66    0.166 seconds of real time
% 0.52/0.66    0.150966 seconds of user run time
% 0.52/0.66    0.015012 seconds of system run time
% 0.52/0.66    0 calls to %EVAL
% 0.52/0.66    0 page faults and
% 0.52/0.66    10,384,400 bytes consed.
% 0.52/0.66  :PROOF-FOUND
% 0.52/0.66  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T16:31:25
% 0.52/0.66  :PROOF-FOUND
% 0.52/0.66  * 
%------------------------------------------------------------------------------