TSTP Solution File: SYN180-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN180-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 11:58:15 EDT 2022

% Result   : Unsatisfiable 0.47s 0.65s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   27 (  15 unt;   0 nHn;  16 RR)
%            Number of literals    :   50 (   0 equ;  24 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   43 (  16 sgn)

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

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_28,axiom,
    k0(e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).

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_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_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_205,axiom,
    ( k3(X,X,X)
    | ~ p2(Y,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_205) ).

cnf(rule_238,axiom,
    ( m3(X,X,X)
    | ~ p2(X,X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_238) ).

cnf(rule_295,axiom,
    ( q4(X,Y)
    | ~ k3(Z,Z,X)
    | ~ q2(U,Y,X)
    | ~ m3(U,V,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_295) ).

cnf(prove_this,negated_conjecture,
    ~ q4(a,e),
    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(447,plain,
    p2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_154,445]) ).

cnf(448,plain,
    m3(X,X,X),
    inference('REWRITE',[status(thm)],[rule_238,447]) ).

cnf(457,plain,
    k3(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_205,447]) ).

cnf(638,plain,
    r1(X),
    inference('HYPERRESOLVE',[status(thm)],[177,445,axiom_17]) ).

cnf(639,plain,
    ( q2(X,Y,X)
    | ~ m0(Z,U,X)
    | ~ k0(Y) ),
    inference('REWRITE',[status(thm)],[421,638]) ).

cnf(653,plain,
    q2(X,e,X),
    inference('HYPERRESOLVE',[status(thm)],[639,axiom_19,axiom_28]) ).

cnf(730,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[rule_295,653,prove_this,457,448]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN180-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.11/0.33  % Computer : n013.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % 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 23:16:14 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:16:15
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-11T23:16:15
% 0.18/0.54  WARNING:
% 0.18/0.54     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.54  WARNING:
% 0.18/0.54     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.54  WARNING:
% 0.18/0.54     |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
% 0.47/0.65  ||#
% 0.47/0.65  
% 0.47/0.65  ; Summary of computation:
% 0.47/0.65  ;      1957 formulas have been input or derived (from 403 formulas).
% 0.47/0.65  ;       730 (37%) were retained.  Of these,
% 0.47/0.65  ;          366 (50%) were simplified or subsumed later,
% 0.47/0.65  ;          364 (50%) are still being kept.
% 0.47/0.65  ; 
% 0.47/0.65  ; Run time in seconds excluding printing time:
% 0.47/0.65  ;     0.062  32%   Read assertion file          (1 call)
% 0.47/0.65  ;     0.009   5%   Assert                       (369 calls)
% 0.47/0.65  ;     0.031  16%   Process new row              (1,568 calls)
% 0.47/0.65  ;     0.024  12%   Resolution                   (804 calls)
% 0.47/0.65  ;     0.000   0%   Paramodulation               (402 calls)
% 0.47/0.65  ;     0.003   2%   Condensing                   (356 calls)
% 0.47/0.65  ;     0.010   5%   Forward subsumption          (356 calls)
% 0.47/0.65  ;     0.007   4%   Backward subsumption         (342 calls)
% 0.47/0.65  ;     0.001   1%   Clause clause subsumption    (170 calls)
% 0.47/0.65  ;     0.009   5%   Forward simplification       (1,502 calls)
% 0.47/0.65  ;     0.007   4%   Backward simplification      (683 calls)
% 0.47/0.65  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.47/0.65  ;     0.002   1%   Purity testing               (1 call)
% 0.47/0.65  ;     0.027  14%   Other
% 0.47/0.65  ;     0.192        Total
% 0.47/0.65  ;     0.194        Real time
% 0.47/0.65  ; 
% 0.47/0.65  ; Term-hash-array has 748 terms in all.
% 0.47/0.65  ; Feature-vector-row-index has 113 entries (273 at peak, 342 added, 229 deleted).
% 0.47/0.65  ; Feature-vector-row-index has 403 nodes (936 at peak, 1,188 added, 785 deleted).
% 0.47/0.65  ;  Retrieved 149 possibly forward subsuming rows in 356 calls.
% 0.47/0.65  ;  Retrieved 160 possibly backward subsumed rows in 342 calls.
% 0.47/0.65  ; Path-index has 502 entries (528 at peak, 855 added, 353 deleted).
% 0.47/0.65  ; Path-index has 473 nodes (473 at peak, 620 added, 147 deleted).
% 0.47/0.65  ; Trie-index has 502 entries (528 at peak, 855 added, 353 deleted).
% 0.47/0.65  ; Trie-index has 694 nodes (694 at peak, 1,095 added, 401 deleted).
% 0.47/0.65  ; Retrieved 1,102 generalization terms in 1,592 calls.
% 0.47/0.65  ; Retrieved 724 instance terms in 340 calls.
% 0.47/0.65  ; Retrieved 16,217 unifiable terms in 3,699 calls.
% 0.47/0.65  ; 
% 0.47/0.65  ; The agenda of rows to process has 17 entries:
% 0.47/0.65  ;     1 with value 5               8 with value 6                8 with value 7
% 0.47/0.65  ; The agenda of rows to give has 109 entries:
% 0.47/0.65  ;    19 with value (4 6)          79 with value (4 7)           11 with value (4 8)
% 0.47/0.65  Evaluation took:
% 0.47/0.65    0.195 seconds of real time
% 0.47/0.65    0.175886 seconds of user run time
% 0.47/0.65    0.0191 seconds of system run time
% 0.47/0.65    0 calls to %EVAL
% 0.47/0.65    0 page faults and
% 0.47/0.65    11,783,560 bytes consed.
% 0.47/0.65  :PROOF-FOUND
% 0.47/0.65  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:16:15
% 0.47/0.65  :PROOF-FOUND
% 0.47/0.65  * 
%------------------------------------------------------------------------------