TSTP Solution File: SYN115-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN115-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 11:57:48 EDT 2022

% Result   : Unsatisfiable 0.48s 0.65s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   23 (  14 unt;   0 nHn;  19 RR)
%            Number of literals    :   38 (   0 equ;  19 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   21 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_9,axiom,
    r0(b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).

cnf(axiom_18,axiom,
    p0(c,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_18) ).

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

cnf(axiom_27,axiom,
    m0(e,b,c),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_27) ).

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

cnf(axiom_34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).

cnf(rule_003,axiom,
    ( l1(X,Y)
    | ~ p0(Z,X)
    | ~ r0(U)
    | ~ m0(Y,X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_003) ).

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_154,axiom,
    ( p2(X,X,X)
    | ~ q1(X,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_154) ).

cnf(rule_186,axiom,
    ( q2(X,X,Y)
    | ~ l1(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_186) ).

cnf(rule_240,axiom,
    ( n3(X)
    | ~ p2(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).

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_274,axiom,
    ( k4(c)
    | ~ n0(c,d)
    | ~ q3(e,b)
    | ~ n3(e) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_274) ).

cnf(334,plain,
    ( k4(c)
    | ~ q3(e,b)
    | ~ n3(e) ),
    inference('REWRITE',[status(thm)],[rule_274,axiom_34]) ).

cnf(prove_this,negated_conjecture,
    ~ k4(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(380,plain,
    ( ~ q3(e,b)
    | ~ n3(e) ),
    inference('REWRITE',[status(thm)],[334,prove_this]) ).

cnf(446,plain,
    q1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).

cnf(448,plain,
    p2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_154,446]) ).

cnf(451,plain,
    n3(X),
    inference('HYPERRESOLVE',[status(thm)],[rule_240,448]) ).

cnf(456,plain,
    ~ q3(e,b),
    inference('REWRITE',[status(thm)],[380,451]) ).

cnf(494,plain,
    ~ q2(e,e,b),
    inference('UR-RESOLVE',[status(thm)],[rule_255,456,axiom_30]) ).

cnf(504,plain,
    l1(b,e),
    inference('HYPERRESOLVE',[status(thm)],[rule_003,axiom_18,axiom_9,axiom_27]) ).

cnf(580,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_186,504]),494]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN115-1 : TPTP v8.1.0. Released v1.1.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n025.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
% 0.19/0.34  % CPULimit : 300
% 0.19/0.34  % WCLimit  : 600
% 0.19/0.34  % DateTime : Mon Jul 11 16:28:02 EDT 2022
% 0.19/0.35  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T16:28:02
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-11T16:28:02
% 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.
% 0.48/0.65  
% 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  ;      1150 formulas have been input or derived (from 304 formulas).
% 0.48/0.65  ;       580 (50%) were retained.  Of these,
% 0.48/0.65  ;          295 (51%) were simplified or subsumed later,
% 0.48/0.65  ;          285 (49%) are still being kept.
% 0.48/0.65  ; 
% 0.48/0.65  ; Run time in seconds excluding printing time:
% 0.48/0.65  ;     0.064  37%   Read assertion file          (1 call)
% 0.48/0.65  ;     0.009   5%   Assert                       (369 calls)
% 0.48/0.65  ;     0.025  15%   Process new row              (978 calls)
% 0.48/0.65  ;     0.009   5%   Resolution                   (606 calls)
% 0.48/0.65  ;     0.002   1%   Paramodulation               (303 calls)
% 0.48/0.65  ;     0.004   2%   Condensing                   (342 calls)
% 0.48/0.65  ;     0.005   3%   Forward subsumption          (342 calls)
% 0.48/0.65  ;     0.008   5%   Backward subsumption         (328 calls)
% 0.48/0.65  ;     0.003   2%   Clause clause subsumption    (169 calls)
% 0.48/0.65  ;     0.002   1%   Forward simplification       (914 calls)
% 0.48/0.65  ;     0.013   8%   Backward simplification      (533 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  ;     0.025  15%   Other
% 0.48/0.65  ;     0.171        Total
% 0.48/0.65  ;     0.174        Real time
% 0.48/0.65  ; 
% 0.48/0.65  ; Term-hash-array has 641 terms in all.
% 0.48/0.65  ; Feature-vector-row-index has 137 entries (273 at peak, 328 added, 191 deleted).
% 0.48/0.65  ; Feature-vector-row-index has 518 nodes (936 at peak, 1,137 added, 619 deleted).
% 0.48/0.65  ;  Retrieved 147 possibly forward subsuming rows in 342 calls.
% 0.48/0.65  ;  Retrieved 159 possibly backward subsumed rows in 328 calls.
% 0.48/0.65  ; Path-index has 443 entries (527 at peak, 720 added, 277 deleted).
% 0.48/0.65  ; Path-index has 443 nodes (463 at peak, 556 added, 113 deleted).
% 0.48/0.65  ; Trie-index has 443 entries (527 at peak, 720 added, 277 deleted).
% 0.48/0.65  ; Trie-index has 586 nodes (594 at peak, 888 added, 302 deleted).
% 0.48/0.65  ; Retrieved 536 generalization terms in 1,000 calls.
% 0.48/0.65  ; Retrieved 518 instance terms in 204 calls.
% 0.48/0.65  ; Retrieved 9,041 unifiable terms in 1,984 calls.
% 0.48/0.65  ; 
% 0.48/0.65  ; The agenda of rows to give has 84 entries:
% 0.48/0.65  ;     8 with value (4 5)          55 with value (4 6)           21 with value (4 7)
% 0.48/0.65  Evaluation took:
% 0.48/0.65    0.174 seconds of real time
% 0.48/0.65    0.149699 seconds of user run time
% 0.48/0.65    0.024064 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    9,882,560 bytes consed.
% 0.48/0.65  :PROOF-FOUND
% 0.48/0.65  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T16:28:02
% 0.48/0.65  :PROOF-FOUND
% 0.48/0.65  * 
%------------------------------------------------------------------------------