TSTP Solution File: SYN213-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN213-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 11:58:29 EDT 2022

% Result   : Unsatisfiable 0.47s 0.65s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   40 (  23 unt;   0 nHn;  30 RR)
%            Number of literals    :   66 (   0 equ;  31 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   19 (  18 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   52 (  25 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).

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_24,axiom,
    l0(c),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).

cnf(axiom_30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).

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

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

cnf(rule_021,axiom,
    ( m1(X,Y,X)
    | ~ l0(X)
    | ~ k0(Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_021) ).

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

cnf(rule_107,axiom,
    ( q1(e,X,X)
    | ~ m0(X,d,X)
    | ~ m0(e,d,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_107) ).

cnf(155,plain,
    q1(e,X,X),
    inference('REWRITE',[status(thm)],[rule_107,axiom_19]) ).

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_127,axiom,
    ( k2(X,Y)
    | ~ m1(Z,Y,X)
    | ~ k1(U)
    | ~ k2(U,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_127) ).

cnf(rule_129,axiom,
    ( k2(X,X)
    | ~ q1(Y,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).

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_253,axiom,
    ( p3(b,c,b)
    | ~ k2(c,b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_253) ).

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_277,axiom,
    ( l4(X)
    | ~ p3(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_277) ).

cnf(rule_298,axiom,
    ( r4(X)
    | ~ n3(X)
    | ~ q3(Y,Z)
    | ~ p0(U,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_298) ).

cnf(rule_329,axiom,
    ( s5(X)
    | ~ l4(X)
    | ~ r4(Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_329) ).

cnf(prove_this,negated_conjecture,
    ~ s5(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(382,plain,
    k1(b),
    inference('HYPERRESOLVE',[status(thm)],[rule_001,axiom_7]) ).

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(430,plain,
    k2(X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_129,155]) ).

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(454,plain,
    ( r4(X)
    | ~ q3(Y,Z)
    | ~ p0(U,X) ),
    inference('REWRITE',[status(thm)],[rule_298,450]) ).

cnf(460,plain,
    m1(c,b,c),
    inference('HYPERRESOLVE',[status(thm)],[rule_021,axiom_24,axiom_32]) ).

cnf(491,plain,
    q3(e,e),
    inference('HYPERRESOLVE',[status(thm)],[rule_255,420,axiom_30]) ).

cnf(573,plain,
    r4(X),
    inference('HYPERRESOLVE',[status(thm)],[454,491,axiom_14]) ).

cnf(574,plain,
    ( s5(X)
    | ~ l4(X) ),
    inference('REWRITE',[status(thm)],[rule_329,573]) ).

cnf(577,plain,
    ~ l4(b),
    inference('UR-RESOLVE',[status(thm)],[574,prove_this]) ).

cnf(578,plain,
    ~ p3(X,Y,b),
    inference('UR-RESOLVE',[status(thm)],[rule_277,577]) ).

cnf(579,plain,
    ~ k2(c,b),
    inference('REWRITE',[status(thm)],[rule_253,578]) ).

cnf(580,plain,
    ~ m1(X,b,c),
    inference('UR-RESOLVE',[status(thm)],[rule_127,579,382,430]) ).

cnf(581,plain,
    $false,
    inference('REWRITE',[status(thm)],[460,580]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN213-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 00:18:23 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T00:18:23
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-12T00:18:23
% 0.40/0.57  WARNING:
% 0.40/0.57     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.40/0.57  WARNING:
% 0.40/0.57     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.40/0.57  WARNING:
% 0.40/0.57     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65  
% 0.47/0.65  
% 0.47/0.65  #||
% 0.47/0.65  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.65  % SZS output start Refutation
% See solution above
% 0.47/0.66  ||#
% 0.47/0.66  
% 0.47/0.66  ; Summary of computation:
% 0.47/0.66  ;      1142 formulas have been input or derived (from 304 formulas).
% 0.47/0.66  ;       581 (51%) were retained.  Of these,
% 0.47/0.66  ;          296 (51%) were simplified or subsumed later,
% 0.47/0.66  ;          285 (49%) are still being kept.
% 0.47/0.66  ; 
% 0.47/0.66  ; Run time in seconds excluding printing time:
% 0.47/0.66  ;     0.062  37%   Read assertion file          (1 call)
% 0.47/0.66  ;     0.009   5%   Assert                       (369 calls)
% 0.47/0.66  ;     0.027  16%   Process new row              (974 calls)
% 0.47/0.66  ;     0.011   7%   Resolution                   (606 calls)
% 0.47/0.66  ;     0.002   1%   Paramodulation               (303 calls)
% 0.47/0.66  ;     0.004   2%   Condensing                   (342 calls)
% 0.47/0.66  ;     0.004   2%   Forward subsumption          (342 calls)
% 0.47/0.66  ;     0.006   4%   Backward subsumption         (328 calls)
% 0.47/0.66  ;     0.001   1%   Clause clause subsumption    (169 calls)
% 0.47/0.66  ;     0.005   3%   Forward simplification       (910 calls)
% 0.47/0.66  ;     0.005   3%   Backward simplification      (534 calls)
% 0.47/0.66  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.47/0.66  ;     0.002   1%   Purity testing               (1 call)
% 0.47/0.66  ;     0.029  17%   Other
% 0.47/0.66  ;     0.167        Total
% 0.47/0.66  ;     0.169        Real time
% 0.47/0.66  ; 
% 0.47/0.66  ; Term-hash-array has 643 terms in all.
% 0.47/0.66  ; Feature-vector-row-index has 137 entries (273 at peak, 328 added, 191 deleted).
% 0.47/0.66  ; Feature-vector-row-index has 517 nodes (936 at peak, 1,138 added, 621 deleted).
% 0.47/0.66  ;  Retrieved 147 possibly forward subsuming rows in 342 calls.
% 0.47/0.66  ;  Retrieved 159 possibly backward subsumed rows in 328 calls.
% 0.47/0.66  ; Path-index has 443 entries (528 at peak, 722 added, 279 deleted).
% 0.47/0.66  ; Path-index has 443 nodes (464 at peak, 557 added, 114 deleted).
% 0.47/0.66  ; Trie-index has 443 entries (528 at peak, 722 added, 279 deleted).
% 0.47/0.66  ; Trie-index has 582 nodes (590 at peak, 888 added, 306 deleted).
% 0.47/0.66  ; Retrieved 531 generalization terms in 993 calls.
% 0.47/0.66  ; Retrieved 521 instance terms in 205 calls.
% 0.47/0.66  ; Retrieved 8,968 unifiable terms in 1,974 calls.
% 0.47/0.66  ; 
% 0.47/0.66  ; The agenda of rows to give has 84 entries:
% 0.47/0.66  ;     9 with value (4 5)          52 with value (4 6)           23 with value (4 7)
% 0.47/0.66  Evaluation took:
% 0.47/0.66    0.169 seconds of real time
% 0.47/0.66    0.156286 seconds of user run time
% 0.47/0.66    0.013011 seconds of system run time
% 0.47/0.66    0 calls to %EVAL
% 0.47/0.66    0 page faults and
% 0.47/0.66    10,804,312 bytes consed.
% 0.47/0.66  :PROOF-FOUND
% 0.47/0.66  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T00:18:23
% 0.47/0.66  :PROOF-FOUND
% 0.47/0.66  * 
%------------------------------------------------------------------------------