TSTP Solution File: SYN549+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN549+1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 12:01:37 EDT 2022

% Result   : Theorem 0.63s 0.81s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   59 (   8 unt;  47 nHn;  58 RR)
%            Number of literals    :  185 (   0 equ;  30 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :   25 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    reachable(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_reachable) ).

cnf(2,axiom,
    ( ~ reachable(X,Y)
    | ~ reachable(Y,Z)
    | reachable(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_reachable) ).

cnf(4,negated_conjecture,
    ( ~ reachable(initial_world,X)
    | ~ reachable('SKOLEMAAAV1'(X),Y)
    | ~ p(Y)
    | ~ reachable('SKOLEMAAAV1'(X),Z)
    | ~ p(Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(5,plain,
    ( ~ reachable(initial_world,X)
    | ~ reachable('SKOLEMAAAV1'(X),Y)
    | ~ p(Y) ),
    inference('CONDENSE',[status(thm)],[4]) ).

cnf(6,negated_conjecture,
    ( ~ reachable(initial_world,X)
    | ~ reachable('SKOLEMAAAV1'(X),Y)
    | ~ reachable(Y,Z)
    | ~ q(Z)
    | ~ reachable('SKOLEMAAAV1'(X),U)
    | ~ q(U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(7,negated_conjecture,
    ( ~ reachable(initial_world,X)
    | reachable('SKOLEMAAAV1'(X),'SKOLEMAAAV2'(X))
    | reachable('SKOLEMAAAV1'(X),'SKOLEMAAAV4'(X))
    | reachable('SKOLEMAAAV1'(X),'SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(8,negated_conjecture,
    ( ~ reachable(initial_world,X)
    | reachable('SKOLEMAAAV1'(X),'SKOLEMAAAV2'(X))
    | reachable('SKOLEMAAAV1'(X),'SKOLEMAAAV4'(X))
    | q('SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(9,negated_conjecture,
    ( ~ reachable(initial_world,X)
    | reachable('SKOLEMAAAV1'(X),'SKOLEMAAAV2'(X))
    | p('SKOLEMAAAV4'(X))
    | reachable('SKOLEMAAAV1'(X),'SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(10,negated_conjecture,
    ( ~ reachable(initial_world,X)
    | reachable('SKOLEMAAAV1'(X),'SKOLEMAAAV2'(X))
    | p('SKOLEMAAAV4'(X))
    | q('SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(11,negated_conjecture,
    ( ~ reachable(initial_world,X)
    | p('SKOLEMAAAV2'(X))
    | reachable('SKOLEMAAAV2'(X),'SKOLEMAAAV3'(X))
    | reachable('SKOLEMAAAV1'(X),'SKOLEMAAAV4'(X))
    | reachable('SKOLEMAAAV1'(X),'SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(12,negated_conjecture,
    ( ~ reachable(initial_world,X)
    | p('SKOLEMAAAV2'(X))
    | reachable('SKOLEMAAAV2'(X),'SKOLEMAAAV3'(X))
    | reachable('SKOLEMAAAV1'(X),'SKOLEMAAAV4'(X))
    | q('SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(13,negated_conjecture,
    ( ~ reachable(initial_world,X)
    | p('SKOLEMAAAV2'(X))
    | reachable('SKOLEMAAAV2'(X),'SKOLEMAAAV3'(X))
    | p('SKOLEMAAAV4'(X))
    | reachable('SKOLEMAAAV1'(X),'SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(14,negated_conjecture,
    ( ~ reachable(initial_world,X)
    | p('SKOLEMAAAV2'(X))
    | reachable('SKOLEMAAAV2'(X),'SKOLEMAAAV3'(X))
    | p('SKOLEMAAAV4'(X))
    | q('SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(15,negated_conjecture,
    ( ~ reachable(initial_world,X)
    | p('SKOLEMAAAV2'(X))
    | q('SKOLEMAAAV3'(X))
    | reachable('SKOLEMAAAV1'(X),'SKOLEMAAAV4'(X))
    | reachable('SKOLEMAAAV1'(X),'SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(16,negated_conjecture,
    ( ~ reachable(initial_world,X)
    | p('SKOLEMAAAV2'(X))
    | q('SKOLEMAAAV3'(X))
    | reachable('SKOLEMAAAV1'(X),'SKOLEMAAAV4'(X))
    | q('SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(17,negated_conjecture,
    ( ~ reachable(initial_world,X)
    | p('SKOLEMAAAV2'(X))
    | q('SKOLEMAAAV3'(X))
    | p('SKOLEMAAAV4'(X))
    | reachable('SKOLEMAAAV1'(X),'SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(18,negated_conjecture,
    ( ~ reachable(initial_world,X)
    | p('SKOLEMAAAV2'(X))
    | q('SKOLEMAAAV3'(X))
    | p('SKOLEMAAAV4'(X))
    | q('SKOLEMAAAV5'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(21,plain,
    ( reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV2'(initial_world))
    | p('SKOLEMAAAV4'(initial_world))
    | q('SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[10,1]) ).

cnf(22,plain,
    ( reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV2'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV4'(initial_world))
    | q('SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[8,1]) ).

cnf(23,plain,
    ( reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV2'(initial_world))
    | p('SKOLEMAAAV4'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[9,1]) ).

cnf(24,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | q('SKOLEMAAAV3'(initial_world))
    | p('SKOLEMAAAV4'(initial_world))
    | q('SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[18,1]) ).

cnf(25,plain,
    ( reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV2'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV4'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[7,1]) ).

cnf(27,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | reachable('SKOLEMAAAV2'(initial_world),'SKOLEMAAAV3'(initial_world))
    | p('SKOLEMAAAV4'(initial_world))
    | q('SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[14,1]) ).

cnf(28,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | q('SKOLEMAAAV3'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV4'(initial_world))
    | q('SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[16,1]) ).

cnf(29,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | q('SKOLEMAAAV3'(initial_world))
    | p('SKOLEMAAAV4'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[17,1]) ).

cnf(30,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | reachable('SKOLEMAAAV2'(initial_world),'SKOLEMAAAV3'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV4'(initial_world))
    | q('SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[12,1]) ).

cnf(31,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | reachable('SKOLEMAAAV2'(initial_world),'SKOLEMAAAV3'(initial_world))
    | p('SKOLEMAAAV4'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[13,1]) ).

cnf(32,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | q('SKOLEMAAAV3'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV4'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[15,1]) ).

cnf(33,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | reachable('SKOLEMAAAV2'(initial_world),'SKOLEMAAAV3'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV4'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[11,1]) ).

cnf(172,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | p('SKOLEMAAAV4'(initial_world))
    | q('SKOLEMAAAV5'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV3'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[2,27,21]) ).

cnf(175,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | q('SKOLEMAAAV3'(initial_world))
    | p('SKOLEMAAAV4'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[6,29,1,1,24,29,24]) ).

cnf(193,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | p('SKOLEMAAAV4'(initial_world))
    | q('SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[6,172,1,1,175,172,175]) ).

cnf(194,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | p('SKOLEMAAAV4'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV2'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[6,193,1,23,1,23,193]) ).

cnf(236,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | reachable('SKOLEMAAAV2'(initial_world),'SKOLEMAAAV3'(initial_world))
    | p('SKOLEMAAAV4'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[6,31,1,1,193,31,193]) ).

cnf(237,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | p('SKOLEMAAAV4'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV3'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[2,236,194]) ).

cnf(239,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | p('SKOLEMAAAV4'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[6,237,1,1,175,237,175]) ).

cnf(240,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | q('SKOLEMAAAV3'(initial_world))
    | q('SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[5,239,1,28]) ).

cnf(241,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | reachable('SKOLEMAAAV2'(initial_world),'SKOLEMAAAV3'(initial_world))
    | q('SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[5,239,1,30]) ).

cnf(242,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV2'(initial_world))
    | q('SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[5,239,1,22]) ).

cnf(245,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | q('SKOLEMAAAV5'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV3'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[2,242,241]) ).

cnf(260,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | q('SKOLEMAAAV3'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV4'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[6,32,1,1,240,32,240]) ).

cnf(274,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | q('SKOLEMAAAV3'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[5,260,1,239]) ).

cnf(275,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | q('SKOLEMAAAV5'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[6,274,1,242,241,245,274]) ).

cnf(276,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV2'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV4'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[6,275,1,25,1,25,275]) ).

cnf(327,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | reachable('SKOLEMAAAV2'(initial_world),'SKOLEMAAAV3'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV4'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[6,33,1,1,275,33,275]) ).

cnf(407,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV2'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[5,276,1,239]) ).

cnf(437,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | reachable('SKOLEMAAAV2'(initial_world),'SKOLEMAAAV3'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[5,327,1,239]) ).

cnf(438,plain,
    ( p('SKOLEMAAAV2'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV3'(initial_world)) ),
    inference('HYPERRESOLVE',[status(thm)],[2,437,407]) ).

cnf(440,plain,
    p('SKOLEMAAAV2'(initial_world)),
    inference('HYPERRESOLVE',[status(thm)],[6,438,1,1,274,438,274]) ).

cnf(441,plain,
    ~ reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV2'(initial_world)),
    inference('UR-RESOLVE',[status(thm)],[5,440,1]) ).

cnf(442,plain,
    ( p('SKOLEMAAAV4'(initial_world))
    | q('SKOLEMAAAV5'(initial_world)) ),
    inference('REWRITE',[status(thm)],[21,441]) ).

cnf(443,plain,
    ( reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV4'(initial_world))
    | q('SKOLEMAAAV5'(initial_world)) ),
    inference('REWRITE',[status(thm)],[22,441]) ).

cnf(444,plain,
    ( p('SKOLEMAAAV4'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV5'(initial_world)) ),
    inference('REWRITE',[status(thm)],[23,441]) ).

cnf(445,plain,
    ( reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV4'(initial_world))
    | reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV5'(initial_world)) ),
    inference('REWRITE',[status(thm)],[25,441]) ).

cnf(570,plain,
    p('SKOLEMAAAV4'(initial_world)),
    inference('HYPERRESOLVE',[status(thm)],[6,444,1,1,442,444,442]) ).

cnf(571,plain,
    q('SKOLEMAAAV5'(initial_world)),
    inference('HYPERRESOLVE',[status(thm)],[5,570,1,443]) ).

cnf(572,plain,
    ~ reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV4'(initial_world)),
    inference('UR-RESOLVE',[status(thm)],[5,570,1]) ).

cnf(573,plain,
    reachable('SKOLEMAAAV1'(initial_world),'SKOLEMAAAV5'(initial_world)),
    inference('REWRITE',[status(thm)],[445,572]) ).

cnf(608,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,571,1,1,571]),573]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN549+1 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 19:23:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T19:23:57
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-11T19:23:57
% 0.63/0.81  
% 0.63/0.81  
% 0.63/0.81  #||
% 0.63/0.81  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.63/0.81  % SZS output start Refutation
% See solution above
% 0.63/0.82  ||#
% 0.63/0.82  
% 0.63/0.82  ; Summary of computation:
% 0.63/0.82  ;      1182 formulas have been input or derived (from 128 formulas).
% 0.63/0.82  ;       608 (51%) were retained.  Of these,
% 0.63/0.82  ;          411 (68%) were simplified or subsumed later,
% 0.63/0.82  ;          197 (32%) are still being kept.
% 0.63/0.82  ; 
% 0.63/0.82  ; Run time in seconds excluding printing time:
% 0.63/0.82  ;     0.002   1%   Read assertion file          (1 call)
% 0.63/0.82  ;     0.001   0%   Assert                       (3 calls)
% 0.63/0.82  ;     0.065  18%   Process new row              (859 calls)
% 0.63/0.82  ;     0.048  14%   Resolution                   (254 calls)
% 0.63/0.82  ;     0.000   0%   Paramodulation               (127 calls)
% 0.63/0.82  ;     0.000   0%   Factoring                    (80 calls)
% 0.63/0.82  ;     0.002   1%   Condensing                   (699 calls)
% 0.63/0.82  ;     0.120  34%   Forward subsumption          (699 calls)
% 0.63/0.82  ;     0.033   9%   Backward subsumption         (556 calls)
% 0.63/0.82  ;     0.014   4%   Clause clause subsumption    (7,080 calls)
% 0.63/0.82  ;     0.016   5%   Forward simplification       (806 calls)
% 0.63/0.82  ;     0.012   3%   Backward simplification      (607 calls)
% 0.63/0.82  ;     0.005   1%   Ordering                     (2,822 calls)
% 0.63/0.82  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.63/0.82  ;     0.000   0%   Purity testing               (1 call)
% 0.63/0.82  ;     0.034  10%   Other
% 0.63/0.82  ;     0.352        Total
% 0.63/0.82  ;     0.358        Real time
% 0.63/0.82  ; 
% 0.63/0.82  ; Term-hash-array has 348 terms in all.
% 0.63/0.82  ; Feature-vector-row-index has 146 entries (326 at peak, 556 added, 410 deleted).
% 0.63/0.82  ; Feature-vector-row-index has 1,332 nodes (3,069 at peak, 4,872 added, 3,540 deleted).
% 0.63/0.82  ;  Retrieved 5,126 possibly forward subsuming rows in 699 calls.
% 0.63/0.82  ;  Retrieved 2,167 possibly backward subsumed rows in 556 calls.
% 0.63/0.82  ; Path-index has 217 entries (325 at peak, 492 added, 275 deleted).
% 0.63/0.82  ; Path-index has 536 nodes (653 at peak, 811 added, 275 deleted).
% 0.63/0.82  ; Trie-index has 217 entries (325 at peak, 492 added, 275 deleted).
% 0.63/0.82  ; Trie-index has 603 nodes (911 at peak, 1,314 added, 711 deleted).
% 0.63/0.82  ; Retrieved 1,406 generalization terms in 3,074 calls.
% 0.63/0.82  ; Retrieved 50 instance terms in 50 calls.
% 0.63/0.82  ; Retrieved 26,621 unifiable terms in 8,281 calls.
% 0.63/0.82  ; 
% 0.63/0.82  ; The agenda of rows to process has 5 entries:
% 0.63/0.82  ;     1 with value 13              1 with value 19               1 with value 27
% 0.63/0.82  ;     1 with value 15              1 with value 23
% 0.63/0.82  ; The agenda of rows to give has 139 entries:
% 0.63/0.82  ;     2 with value (4 8)           1 with value (4 35)           3 with value (4 58)
% 0.63/0.82  ;     1 with value (4 10)          4 with value (4 36)           5 with value (4 59)
% 0.63/0.82  ;     3 with value (4 12)          3 with value (4 37)           4 with value (4 60)
% 0.63/0.82  ;     1 with value (4 13)          3 with value (4 39)           2 with value (4 61)
% 0.63/0.82  ;     1 with value (4 15)          4 with value (4 40)           7 with value (4 62)
% 0.63/0.82  ;     1 with value (4 17)          1 with value (4 41)           3 with value (4 63)
% 0.63/0.82  ;     1 with value (4 19)          1 with value (4 43)           2 with value (4 65)
% 0.63/0.82  ;     1 with value (4 22)          5 with value (4 44)           9 with value (4 66)
% 0.63/0.82  ;     1 with value (4 23)          3 with value (4 45)           1 with value (4 67)
% 0.63/0.82  ;     1 with value (4 24)          3 with value (4 48)           2 with value (4 69)
% 0.63/0.82  ;     1 with value (4 26)          5 with value (4 49)           3 with value (4 70)
% 0.63/0.82  ;     2 with value (4 27)          2 with value (4 50)           3 with value (4 72)
% 0.63/0.82  ;     1 with value (4 28)          1 with value (4 52)           1 with value (4 76)
% 0.63/0.82  ;     3 with value (4 30)          4 with value (4 53)           3 with value (4 77)
% 0.63/0.82  ;     3 with value (4 31)          3 with value (4 54)           1 with value (4 78)
% 0.63/0.82  ;     2 with value (4 32)          4 with value (4 55)           3 with value (4 84)
% 0.63/0.82  ;     4 with value (4 33)          4 with value (4 57)           1 with value (4 91)
% 0.63/0.82  ;     6 with value (4 34)
% 0.63/0.82  Evaluation took:
% 0.63/0.82    0.358 seconds of real time
% 0.63/0.82    0.335381 seconds of user run time
% 0.63/0.82    0.023149 seconds of system run time
% 0.63/0.82    [Run times include 0.01 seconds GC run time.]
% 0.63/0.82    0 calls to %EVAL
% 0.63/0.82    0 page faults and
% 0.63/0.82    36,441,424 bytes consed.
% 0.63/0.82  :PROOF-FOUND
% 0.63/0.82  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T19:23:58
% 0.63/0.82  :PROOF-FOUND
% 0.63/0.82  * 
%------------------------------------------------------------------------------