TSTP Solution File: SYN110-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN110-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 11:57:46 EDT 2022

% Result   : Unsatisfiable 0.46s 0.67s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   18 (  11 unt;   0 nHn;  13 RR)
%            Number of literals    :   31 (   0 equ;  15 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   24 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_12,axiom,
    m0(a,X,a),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_12) ).

cnf(axiom_19,axiom,
    m0(X,d,Y),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

cnf(axiom_33,axiom,
    q0(d,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_33) ).

cnf(axiom_37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).

cnf(rule_001,axiom,
    ( k1(X)
    | ~ n0(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).

cnf(rule_014,axiom,
    ( m1(X,X,X)
    | ~ m0(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_014) ).

cnf(rule_024,axiom,
    ( m1(X,a,Y)
    | ~ m0(a,Z,a)
    | ~ q0(X,Y)
    | ~ m1(Y,c,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_024) ).

cnf(65,plain,
    ( m1(X,a,Y)
    | ~ q0(X,Y)
    | ~ m1(Y,c,Y) ),
    inference('REWRITE',[status(thm)],[rule_024,axiom_12]) ).

cnf(rule_107,axiom,
    ( q1(e,X,X)
    | ~ m0(X,d,X)
    | ~ m0(e,d,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_107) ).

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

cnf(rule_127,axiom,
    ( k2(X,Y)
    | ~ m1(Z,Y,X)
    | ~ k1(U)
    | ~ k2(U,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_127) ).

cnf(rule_129,axiom,
    ( k2(X,X)
    | ~ q1(Y,X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).

cnf(prove_this,negated_conjecture,
    ~ k2(c,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(386,plain,
    k1(a),
    inference('HYPERRESOLVE',[status(thm)],[rule_001,axiom_37]) ).

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

cnf(439,plain,
    m1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_014,axiom_19]) ).

cnf(572,plain,
    ~ m1(X,a,c),
    inference('UR-RESOLVE',[status(thm)],[rule_127,430,prove_this,386]) ).

cnf(638,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[65,439,axiom_33]),572]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN110-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.11  % Command  : run-snark %s %d
% 0.11/0.32  % Computer : n019.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Mon Jul 11 13:30:38 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.19/0.43  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  * 
% 0.19/0.44  * 
% 0.19/0.45  #<PACKAGE "SNARK-USER">
% 0.19/0.45  * 
% 0.19/0.45  SNARK-TPTP-OPTIONS
% 0.19/0.45  * 
% 0.19/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45   (USE-FACTORING :POS)
% 0.19/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45  * 
% 0.19/0.45  "."
% 0.19/0.45  * 
% 0.19/0.45  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T13:30:38
% 0.19/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-11T13:30:38
% 0.19/0.53  WARNING:
% 0.19/0.53     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.53  WARNING:
% 0.19/0.53     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.53  WARNING:
% 0.19/0.53     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67  
% 0.46/0.67  
% 0.46/0.67  #||
% 0.46/0.67  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.67  % SZS output start Refutation
% See solution above
% 0.46/0.67  ||#
% 0.46/0.67  
% 0.46/0.67  ; Summary of computation:
% 0.46/0.67  ;      1412 formulas have been input or derived (from 329 formulas).
% 0.46/0.67  ;       638 (45%) were retained.  Of these,
% 0.46/0.67  ;          334 (52%) were simplified or subsumed later,
% 0.46/0.67  ;          304 (48%) are still being kept.
% 0.46/0.67  ; 
% 0.46/0.67  ; Run time in seconds excluding printing time:
% 0.46/0.67  ;     0.062  30%   Read assertion file          (1 call)
% 0.46/0.67  ;     0.011   5%   Assert                       (369 calls)
% 0.46/0.67  ;     0.037  18%   Process new row              (1,177 calls)
% 0.46/0.67  ;     0.026  12%   Resolution                   (656 calls)
% 0.46/0.67  ;     0.000   0%   Paramodulation               (328 calls)
% 0.46/0.67  ;     0.007   3%   Condensing                   (346 calls)
% 0.46/0.67  ;     0.007   3%   Forward subsumption          (346 calls)
% 0.46/0.67  ;     0.006   3%   Backward subsumption         (332 calls)
% 0.46/0.67  ;     0.000   0%   Clause clause subsumption    (169 calls)
% 0.46/0.67  ;     0.011   5%   Forward simplification       (1,112 calls)
% 0.46/0.67  ;     0.014   7%   Backward simplification      (591 calls)
% 0.46/0.67  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.46/0.67  ;     0.001   0%   Purity testing               (1 call)
% 0.46/0.67  ;     0.028  13%   Other
% 0.46/0.67  ;     0.210        Total
% 0.46/0.67  ;     0.221        Real time
% 0.46/0.67  ; 
% 0.46/0.67  ; Term-hash-array has 686 terms in all.
% 0.46/0.67  ; Feature-vector-row-index has 124 entries (273 at peak, 332 added, 208 deleted).
% 0.46/0.67  ; Feature-vector-row-index has 455 nodes (936 at peak, 1,154 added, 699 deleted).
% 0.46/0.67  ;  Retrieved 147 possibly forward subsuming rows in 346 calls.
% 0.46/0.67  ;  Retrieved 159 possibly backward subsumed rows in 332 calls.
% 0.46/0.67  ; Path-index has 455 entries (525 at peak, 772 added, 317 deleted).
% 0.46/0.67  ; Path-index has 446 nodes (463 at peak, 573 added, 127 deleted).
% 0.46/0.67  ; Trie-index has 455 entries (525 at peak, 772 added, 317 deleted).
% 0.46/0.67  ; Trie-index has 617 nodes (629 at peak, 975 added, 358 deleted).
% 0.46/0.67  ; Retrieved 736 generalization terms in 1,204 calls.
% 0.46/0.67  ; Retrieved 606 instance terms in 258 calls.
% 0.46/0.67  ; Retrieved 11,597 unifiable terms in 2,538 calls.
% 0.46/0.67  ; 
% 0.46/0.67  ; The agenda of rows to process has 7 entries:
% 0.46/0.67  ;     7 with value 7
% 0.46/0.67  ; The agenda of rows to give has 100 entries:
% 0.46/0.67  ;    45 with value (4 6)          53 with value (4 7)            2 with value (4 8)
% 0.46/0.67  Evaluation took:
% 0.46/0.67    0.221 seconds of real time
% 0.46/0.67    0.191912 seconds of user run time
% 0.46/0.67    0.021873 seconds of system run time
% 0.46/0.67    0 calls to %EVAL
% 0.46/0.67    0 page faults and
% 0.46/0.67    10,232,320 bytes consed.
% 0.46/0.67  :PROOF-FOUND
% 0.46/0.67  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T13:30:38
% 0.46/0.67  :PROOF-FOUND
% 0.46/0.67  * 
%------------------------------------------------------------------------------