TSTP Solution File: SYN178-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN178-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 11:58:14 EDT 2022

% Result   : Unsatisfiable 0.48s 0.65s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   23 (  14 unt;   0 nHn;  15 RR)
%            Number of literals    :   42 (   0 equ;  21 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   34 (  14 sgn)

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

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_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_32,axiom,
    k0(b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).

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

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_124,axiom,
    ( r1(X)
    | ~ q0(X,Y)
    | ~ s0(d)
    | ~ q1(d,Y,d) ),
    file('/export/starexec/sandbox/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_181,axiom,
    ( q2(X,X,X)
    | ~ p1(X,X,X) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SYN001-0.ax',rule_187) ).

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(prove_this,negated_conjecture,
    ~ q3(b,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

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(421,plain,
    ( q2(X,Y,X)
    | ~ r1(Y)
    | ~ m0(Z,U,X)
    | ~ k0(Y) ),
    inference('REWRITE',[status(thm)],[rule_187,420]) ).

cnf(445,plain,
    q1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).

cnf(492,plain,
    ~ q2(d,b,d),
    inference('UR-RESOLVE',[status(thm)],[rule_255,prove_this,axiom_7]) ).

cnf(641,plain,
    r1(X),
    inference('HYPERRESOLVE',[status(thm)],[177,445,axiom_17]) ).

cnf(642,plain,
    ( q2(X,Y,X)
    | ~ m0(Z,U,X)
    | ~ k0(Y) ),
    inference('REWRITE',[status(thm)],[421,641]) ).

cnf(655,plain,
    q2(X,b,X),
    inference('HYPERRESOLVE',[status(thm)],[642,axiom_19,axiom_32]) ).

cnf(656,plain,
    $false,
    inference('REWRITE',[status(thm)],[492,655]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN178-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jul 11 20:12:24 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46  * 
% 0.21/0.46  * 
% 0.21/0.47  #<PACKAGE "SNARK-USER">
% 0.21/0.47  * 
% 0.21/0.47  SNARK-TPTP-OPTIONS
% 0.21/0.47  * 
% 0.21/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47   (USE-FACTORING :POS)
% 0.21/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47  * 
% 0.21/0.47  "."
% 0.21/0.47  * 
% 0.21/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T20:12:24
% 0.21/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-11T20:12:24
% 0.41/0.56  WARNING:
% 0.41/0.56     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.41/0.56  WARNING:
% 0.41/0.56     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.41/0.56  WARNING:
% 0.41/0.56     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  
% 0.48/0.65  
% 0.48/0.65  #||
% 0.48/0.65  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.65  % SZS output start Refutation
% See solution above
% 0.48/0.65  ||#
% 0.48/0.65  
% 0.48/0.65  ; Summary of computation:
% 0.48/0.65  ;      1468 formulas have been input or derived (from 341 formulas).
% 0.48/0.65  ;       656 (45%) were retained.  Of these,
% 0.48/0.65  ;          343 (52%) were simplified or subsumed later,
% 0.48/0.65  ;          313 (48%) are still being kept.
% 0.48/0.65  ; 
% 0.48/0.65  ; Run time in seconds excluding printing time:
% 0.48/0.65  ;     0.061  34%   Read assertion file          (1 call)
% 0.48/0.65  ;     0.008   4%   Assert                       (369 calls)
% 0.48/0.65  ;     0.026  14%   Process new row              (1,222 calls)
% 0.48/0.65  ;     0.013   7%   Resolution                   (680 calls)
% 0.48/0.65  ;     0.001   1%   Paramodulation               (340 calls)
% 0.48/0.65  ;     0.005   3%   Condensing                   (353 calls)
% 0.48/0.65  ;     0.003   2%   Forward subsumption          (353 calls)
% 0.48/0.65  ;     0.007   4%   Backward subsumption         (339 calls)
% 0.48/0.65  ;     0.001   1%   Clause clause subsumption    (170 calls)
% 0.48/0.65  ;     0.011   6%   Forward simplification       (1,157 calls)
% 0.48/0.65  ;     0.010   6%   Backward simplification      (609 calls)
% 0.48/0.65  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.48/0.65  ;     0.002   1%   Purity testing               (1 call)
% 0.48/0.65  ;     0.032  18%   Other
% 0.48/0.65  ;     0.180        Total
% 0.48/0.65  ;     0.181        Real time
% 0.48/0.65  ; 
% 0.48/0.65  ; Term-hash-array has 694 terms in all.
% 0.48/0.65  ; Feature-vector-row-index has 126 entries (273 at peak, 339 added, 213 deleted).
% 0.48/0.65  ; Feature-vector-row-index has 458 nodes (936 at peak, 1,178 added, 720 deleted).
% 0.48/0.65  ;  Retrieved 149 possibly forward subsuming rows in 353 calls.
% 0.48/0.65  ;  Retrieved 160 possibly backward subsumed rows in 339 calls.
% 0.48/0.65  ; Path-index has 462 entries (528 at peak, 792 added, 330 deleted).
% 0.48/0.65  ; Path-index has 448 nodes (465 at peak, 577 added, 129 deleted).
% 0.48/0.65  ; Trie-index has 462 entries (528 at peak, 792 added, 330 deleted).
% 0.48/0.65  ; Trie-index has 631 nodes (643 at peak, 1,000 added, 369 deleted).
% 0.48/0.65  ; Retrieved 778 generalization terms in 1,253 calls.
% 0.48/0.65  ; Retrieved 631 instance terms in 269 calls.
% 0.48/0.65  ; Retrieved 12,089 unifiable terms in 2,676 calls.
% 0.48/0.65  ; 
% 0.48/0.65  ; The agenda of rows to process has 17 entries:
% 0.48/0.65  ;    17 with value 6
% 0.48/0.65  ; The agenda of rows to give has 103 entries:
% 0.48/0.65  ;     2 with value (4 4)          45 with value (4 6)            2 with value (4 8)
% 0.48/0.65  ;     1 with value (4 5)          53 with value (4 7)
% 0.48/0.65  Evaluation took:
% 0.48/0.65    0.181 seconds of real time
% 0.48/0.65    0.156839 seconds of user run time
% 0.48/0.65    0.024883 seconds of system run time
% 0.48/0.65    0 calls to %EVAL
% 0.48/0.65    0 page faults and
% 0.48/0.65    10,682,848 bytes consed.
% 0.48/0.65  :PROOF-FOUND
% 0.48/0.65  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T20:12:25
% 0.48/0.65  :PROOF-FOUND
% 0.48/0.65  * 
%------------------------------------------------------------------------------