TSTP Solution File: SYN207-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN207-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 11:58:27 EDT 2022

% Result   : Unsatisfiable 0.44s 0.62s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   27 (  15 unt;   0 nHn;  20 RR)
%            Number of literals    :   49 (   0 equ;  25 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   35 (  13 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_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_24,axiom,
    l0(c),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).

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

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_181,axiom,
    ( q2(X,X,X)
    | ~ p1(X,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).

cnf(rule_183,axiom,
    ( q2(X,c,Y)
    | ~ k1(Y)
    | ~ l0(c)
    | ~ l2(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_183) ).

cnf(241,plain,
    ( q2(X,c,Y)
    | ~ k1(Y)
    | ~ l2(Y,X) ),
    inference('REWRITE',[status(thm)],[rule_183,axiom_24]) ).

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(prove_this,negated_conjecture,
    ~ s3(c,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

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

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(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(506,plain,
    ~ s2(c),
    inference('UR-RESOLVE',[status(thm)],[rule_273,prove_this,420,axiom_19]) ).

cnf(529,plain,
    s1(X),
    inference('HYPERRESOLVE',[status(thm)],[rule_126,391,axiom_17]) ).

cnf(532,plain,
    ( l2(X,X)
    | ~ p0(Y,Y)
    | ~ m0(Z,U,X) ),
    inference('REWRITE',[status(thm)],[rule_133,529]) ).

cnf(544,plain,
    l2(X,X),
    inference('HYPERRESOLVE',[status(thm)],[532,axiom_14,axiom_19]) ).

cnf(569,plain,
    ~ q2(b,c,b),
    inference('UR-RESOLVE',[status(thm)],[392,506]) ).

cnf(582,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[241,544,382]),569]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN207-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n014.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 08:22:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T08:22:19
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-12T08:22:19
% 0.19/0.55  WARNING:
% 0.19/0.55     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.55  WARNING:
% 0.19/0.55     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.55  WARNING:
% 0.19/0.55     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.44/0.62  
% 0.44/0.62  
% 0.44/0.62  #||
% 0.44/0.62  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.62  % SZS output start Refutation
% See solution above
% 0.44/0.63  ||#
% 0.44/0.63  
% 0.44/0.63  ; Summary of computation:
% 0.44/0.63  ;      1181 formulas have been input or derived (from 308 formulas).
% 0.44/0.63  ;       582 (49%) were retained.  Of these,
% 0.44/0.63  ;          296 (51%) were simplified or subsumed later,
% 0.44/0.63  ;          286 (49%) are still being kept.
% 0.44/0.63  ; 
% 0.44/0.63  ; Run time in seconds excluding printing time:
% 0.44/0.63  ;     0.063  40%   Read assertion file          (1 call)
% 0.44/0.63  ;     0.010   6%   Assert                       (369 calls)
% 0.44/0.63  ;     0.027  17%   Process new row              (985 calls)
% 0.44/0.63  ;     0.007   4%   Resolution                   (614 calls)
% 0.44/0.63  ;     0.001   1%   Paramodulation               (307 calls)
% 0.44/0.63  ;     0.005   3%   Condensing                   (342 calls)
% 0.44/0.63  ;     0.002   1%   Forward subsumption          (342 calls)
% 0.44/0.63  ;     0.006   4%   Backward subsumption         (328 calls)
% 0.44/0.63  ;     0.000   0%   Clause clause subsumption    (169 calls)
% 0.44/0.63  ;     0.003   2%   Forward simplification       (921 calls)
% 0.44/0.63  ;     0.008   5%   Backward simplification      (535 calls)
% 0.44/0.63  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.44/0.63  ;     0.001   1%   Purity testing               (1 call)
% 0.44/0.63  ;     0.024  15%   Other
% 0.44/0.63  ;     0.157        Total
% 0.44/0.63  ;     0.159        Real time
% 0.44/0.63  ; 
% 0.44/0.63  ; Term-hash-array has 643 terms in all.
% 0.44/0.63  ; Feature-vector-row-index has 136 entries (273 at peak, 328 added, 192 deleted).
% 0.44/0.63  ; Feature-vector-row-index has 513 nodes (936 at peak, 1,139 added, 626 deleted).
% 0.44/0.63  ;  Retrieved 147 possibly forward subsuming rows in 342 calls.
% 0.44/0.63  ;  Retrieved 159 possibly backward subsumed rows in 328 calls.
% 0.44/0.63  ; Path-index has 442 entries (528 at peak, 721 added, 279 deleted).
% 0.44/0.63  ; Path-index has 442 nodes (465 at peak, 556 added, 114 deleted).
% 0.44/0.63  ; Trie-index has 442 entries (528 at peak, 721 added, 279 deleted).
% 0.44/0.63  ; Trie-index has 584 nodes (590 at peak, 888 added, 304 deleted).
% 0.44/0.63  ; Retrieved 542 generalization terms in 1,006 calls.
% 0.44/0.63  ; Retrieved 521 instance terms in 206 calls.
% 0.44/0.63  ; Retrieved 9,350 unifiable terms in 2,073 calls.
% 0.44/0.63  ; 
% 0.44/0.63  ; The agenda of rows to process has 20 entries:
% 0.44/0.63  ;    20 with value 7
% 0.44/0.63  ; The agenda of rows to give has 82 entries:
% 0.44/0.63  ;     4 with value (4 5)          54 with value (4 6)           24 with value (4 7)
% 0.44/0.63  Evaluation took:
% 0.44/0.63    0.159 seconds of real time
% 0.44/0.63    0.145028 seconds of user run time
% 0.44/0.63    0.014271 seconds of system run time
% 0.44/0.63    0 calls to %EVAL
% 0.44/0.63    0 page faults and
% 0.44/0.63    10,202,848 bytes consed.
% 0.44/0.63  :PROOF-FOUND
% 0.44/0.63  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T08:22:19
% 0.44/0.63  :PROOF-FOUND
% 0.44/0.63  * 
%------------------------------------------------------------------------------