TSTP Solution File: SYN254-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN254-1 : 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 11:58:46 EDT 2022

% Result   : Unsatisfiable 0.51s 0.68s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   41 (  23 unt;   0 nHn;  28 RR)
%            Number of literals    :   74 (   0 equ;  37 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   54 (  18 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
    s0(b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).

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

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

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

cnf(axiom_20,axiom,
    l0(a),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).

cnf(axiom_23,axiom,
    m0(a,e,e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_23) ).

cnf(axiom_32,axiom,
    k0(b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).

cnf(axiom_37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).

cnf(rule_002,axiom,
    ( l1(X,X)
    | ~ n0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).

cnf(rule_050,axiom,
    ( n1(X,Y,X)
    | ~ s0(b)
    | ~ l0(X)
    | ~ p0(b,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_050) ).

cnf(92,plain,
    ( n1(X,Y,X)
    | ~ l0(X) ),
    inference('REWRITE',[status(thm)],[rule_050,axiom_14,axiom_5]) ).

cnf(rule_054,axiom,
    ( n1(X,Y,Y)
    | ~ l0(Z)
    | ~ l1(Z,X)
    | ~ n1(X,Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_054) ).

cnf(rule_069,axiom,
    ( p1(X,X,Y)
    | ~ p0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_069) ).

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

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

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

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

cnf(rule_177,axiom,
    ( q2(X,Y,Y)
    | ~ k0(Y)
    | ~ p1(X,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_177) ).

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_182,axiom,
    ( q2(X,Y,X)
    | ~ p1(X,X,Z)
    | ~ n1(Y,X,Z)
    | ~ q2(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_182) ).

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

cnf(rule_273,axiom,
    ( s3(X,Y)
    | ~ q2(Z,X,Z)
    | ~ s2(X)
    | ~ m0(Z,U,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_273) ).

cnf(rule_279,axiom,
    ( m4(X,Y)
    | ~ l2(Z,Y)
    | ~ s3(a,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_279) ).

cnf(prove_this,negated_conjecture,
    ~ m4(e,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

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(396,plain,
    l1(a,a),
    inference('HYPERRESOLVE',[status(thm)],[rule_002,axiom_37]) ).

cnf(403,plain,
    n1(a,X,a),
    inference('HYPERRESOLVE',[status(thm)],[92,axiom_20]) ).

cnf(417,plain,
    p1(X,X,b),
    inference('HYPERRESOLVE',[status(thm)],[rule_069,axiom_14]) ).

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

cnf(419,plain,
    ( q2(X,Y,Y)
    | ~ k0(Y) ),
    inference('REWRITE',[status(thm)],[rule_177,418]) ).

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

cnf(423,plain,
    q2(X,b,b),
    inference('HYPERRESOLVE',[status(thm)],[419,axiom_32]) ).

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

cnf(580,plain,
    ~ s3(a,e),
    inference('UR-RESOLVE',[status(thm)],[rule_279,543,prove_this]) ).

cnf(613,plain,
    n1(a,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_054,403,axiom_20,396]) ).

cnf(721,plain,
    ~ s2(a),
    inference('UR-RESOLVE',[status(thm)],[rule_273,580,420,axiom_23]) ).

cnf(765,plain,
    ~ q2(b,a,b),
    inference('UR-RESOLVE',[status(thm)],[392,721]) ).

cnf(807,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_182,613,417,423]),765]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN254-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n022.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul 12 05:43:40 EDT 2022
% 0.13/0.35  % 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 2022-07-12T05:43:40
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-12T05:43:40
% 0.39/0.56  WARNING:
% 0.39/0.56     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.39/0.56  WARNING:
% 0.39/0.56     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.39/0.56  WARNING:
% 0.39/0.56     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68  
% 0.51/0.68  
% 0.51/0.68  #||
% 0.51/0.68  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.68  % SZS output start Refutation
% See solution above
% 0.51/0.69  ||#
% 0.51/0.69  
% 0.51/0.69  ; Summary of computation:
% 0.51/0.69  ;      2714 formulas have been input or derived (from 475 formulas).
% 0.51/0.69  ;       807 (30%) were retained.  Of these,
% 0.51/0.69  ;          385 (48%) were simplified or subsumed later,
% 0.51/0.69  ;          422 (52%) are still being kept.
% 0.51/0.69  ; 
% 0.51/0.69  ; Run time in seconds excluding printing time:
% 0.51/0.69  ;     0.063  32%   Read assertion file          (1 call)
% 0.51/0.69  ;     0.009   5%   Assert                       (369 calls)
% 0.51/0.69  ;     0.021  11%   Process new row              (2,134 calls)
% 0.51/0.69  ;     0.035  18%   Resolution                   (948 calls)
% 0.51/0.69  ;     0.001   1%   Paramodulation               (474 calls)
% 0.51/0.69  ;     0.005   3%   Condensing                   (359 calls)
% 0.51/0.69  ;     0.012   6%   Forward subsumption          (359 calls)
% 0.51/0.69  ;     0.003   2%   Backward subsumption         (345 calls)
% 0.51/0.69  ;     0.000   0%   Clause clause subsumption    (170 calls)
% 0.51/0.69  ;     0.004   2%   Forward simplification       (2,065 calls)
% 0.51/0.69  ;     0.009   5%   Backward simplification      (760 calls)
% 0.51/0.69  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.51/0.69  ;     0.001   1%   Purity testing               (1 call)
% 0.51/0.69  ;     0.035  18%   Other
% 0.51/0.69  ;     0.198        Total
% 0.51/0.69  ;     0.208        Real time
% 0.51/0.69  ; 
% 0.51/0.69  ; Term-hash-array has 812 terms in all.
% 0.51/0.69  ; Feature-vector-row-index has 105 entries (273 at peak, 345 added, 240 deleted).
% 0.51/0.69  ; Feature-vector-row-index has 363 nodes (936 at peak, 1,198 added, 835 deleted).
% 0.51/0.69  ;  Retrieved 149 possibly forward subsuming rows in 359 calls.
% 0.51/0.69  ;  Retrieved 160 possibly backward subsumed rows in 345 calls.
% 0.51/0.69  ; Path-index has 545 entries (545 at peak, 929 added, 384 deleted).
% 0.51/0.69  ; Path-index has 483 nodes (483 at peak, 646 added, 163 deleted).
% 0.51/0.69  ; Trie-index has 545 entries (545 at peak, 929 added, 384 deleted).
% 0.51/0.69  ; Trie-index has 769 nodes (769 at peak, 1,201 added, 432 deleted).
% 0.51/0.69  ; Retrieved 1,666 generalization terms in 2,154 calls.
% 0.51/0.69  ; Retrieved 821 instance terms in 414 calls.
% 0.51/0.69  ; Retrieved 22,205 unifiable terms in 5,229 calls.
% 0.51/0.69  ; 
% 0.51/0.69  ; The agenda of rows to process has 11 entries:
% 0.51/0.69  ;    11 with value 8
% 0.51/0.69  ; The agenda of rows to give has 108 entries:
% 0.51/0.69  ;    48 with value (4 7)          57 with value (4 8)            3 with value (4 9)
% 0.51/0.69  Evaluation took:
% 0.51/0.69    0.209 seconds of real time
% 0.51/0.69    0.177304 seconds of user run time
% 0.51/0.69    0.031654 seconds of system run time
% 0.51/0.69    [Run times include 0.007 seconds GC run time.]
% 0.51/0.69    0 calls to %EVAL
% 0.51/0.69    0 page faults and
% 0.51/0.69    13,702,400 bytes consed.
% 0.51/0.69  :PROOF-FOUND
% 0.51/0.69  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T05:43:40
% 0.51/0.69  :PROOF-FOUND
% 0.51/0.69  * 
%------------------------------------------------------------------------------