TSTP Solution File: SYN301-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN301-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 11:59:04 EDT 2022

% Result   : Unsatisfiable 0.47s 0.64s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   24 (  14 unt;   0 nHn;  18 RR)
%            Number of literals    :   40 (   0 equ;  18 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   30 (  12 sgn)

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

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_20,axiom,
    l0(a),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).

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

cnf(rule_002,axiom,
    ( l1(X,X)
    | ~ n0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).

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_188,axiom,
    ( r2(X)
    | ~ r1(X)
    | ~ l0(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_188) ).

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_242,axiom,
    ( p3(X,Y,Z)
    | ~ r2(Y)
    | ~ k3(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_242) ).

cnf(rule_299,axiom,
    ( s4(X)
    | ~ p3(Y,Z,U)
    | ~ l1(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_299) ).

cnf(prove_this,negated_conjecture,
    ~ s4(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(396,plain,
    l1(a,a),
    inference('HYPERRESOLVE',[status(thm)],[rule_002,axiom_37]) ).

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

cnf(571,plain,
    ~ p3(X,a,Y),
    inference('UR-RESOLVE',[status(thm)],[rule_299,396,prove_this]) ).

cnf(639,plain,
    r1(X),
    inference('HYPERRESOLVE',[status(thm)],[177,445,axiom_17]) ).

cnf(641,plain,
    ( r2(X)
    | ~ l0(X) ),
    inference('REWRITE',[status(thm)],[rule_188,639]) ).

cnf(647,plain,
    r2(a),
    inference('HYPERRESOLVE',[status(thm)],[641,axiom_20]) ).

cnf(663,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_242,457,647]),571]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN301-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n022.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 : Mon Jul 11 23:15:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:15:40
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-11T23:15:40
% 0.20/0.56  WARNING:
% 0.20/0.56     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.56  WARNING:
% 0.20/0.56     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.56  WARNING:
% 0.20/0.56     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64  
% 0.47/0.64  
% 0.47/0.64  #||
% 0.47/0.64  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64  % SZS output start Refutation
% See solution above
% 0.47/0.64  ||#
% 0.47/0.64  
% 0.47/0.64  ; Summary of computation:
% 0.47/0.64  ;      1505 formulas have been input or derived (from 346 formulas).
% 0.47/0.64  ;       663 (44%) were retained.  Of these,
% 0.47/0.64  ;          351 (53%) were simplified or subsumed later,
% 0.47/0.64  ;          312 (47%) are still being kept.
% 0.47/0.64  ; 
% 0.47/0.64  ; Run time in seconds excluding printing time:
% 0.47/0.64  ;     0.062  38%   Read assertion file          (1 call)
% 0.47/0.64  ;     0.008   5%   Assert                       (369 calls)
% 0.47/0.64  ;     0.025  15%   Process new row              (1,258 calls)
% 0.47/0.64  ;     0.012   7%   Resolution                   (690 calls)
% 0.47/0.64  ;     0.000   0%   Paramodulation               (345 calls)
% 0.47/0.64  ;     0.002   1%   Condensing                   (355 calls)
% 0.47/0.64  ;     0.004   2%   Forward subsumption          (355 calls)
% 0.47/0.64  ;     0.004   2%   Backward subsumption         (341 calls)
% 0.47/0.64  ;     0.001   1%   Clause clause subsumption    (170 calls)
% 0.47/0.64  ;     0.011   7%   Forward simplification       (1,193 calls)
% 0.47/0.64  ;     0.010   6%   Backward simplification      (616 calls)
% 0.47/0.64  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.47/0.64  ;     0.001   1%   Purity testing               (1 call)
% 0.47/0.64  ;     0.023  14%   Other
% 0.47/0.64  ;     0.164        Total
% 0.47/0.64  ;     0.166        Real time
% 0.47/0.64  ; 
% 0.47/0.64  ; Term-hash-array has 695 terms in all.
% 0.47/0.64  ; Feature-vector-row-index has 123 entries (273 at peak, 341 added, 218 deleted).
% 0.47/0.64  ; Feature-vector-row-index has 438 nodes (936 at peak, 1,184 added, 746 deleted).
% 0.47/0.64  ;  Retrieved 149 possibly forward subsuming rows in 355 calls.
% 0.47/0.64  ;  Retrieved 160 possibly backward subsumed rows in 341 calls.
% 0.47/0.64  ; Path-index has 456 entries (528 at peak, 796 added, 340 deleted).
% 0.47/0.64  ; Path-index has 450 nodes (464 at peak, 590 added, 140 deleted).
% 0.47/0.64  ; Trie-index has 456 entries (528 at peak, 796 added, 340 deleted).
% 0.47/0.64  ; Trie-index has 622 nodes (638 at peak, 1,009 added, 387 deleted).
% 0.47/0.64  ; Retrieved 810 generalization terms in 1,288 calls.
% 0.47/0.64  ; Retrieved 640 instance terms in 274 calls.
% 0.47/0.64  ; Retrieved 12,474 unifiable terms in 2,751 calls.
% 0.47/0.64  ; 
% 0.47/0.64  ; The agenda of rows to process has 9 entries:
% 0.47/0.64  ;     9 with value 7
% 0.47/0.64  ; The agenda of input rows to give has 1 entry:
% 0.47/0.64  ;     1 with value 6
% 0.47/0.64  ; The agenda of rows to give has 101 entries:
% 0.47/0.64  ;    45 with value (4 6)          54 with value (4 7)            2 with value (4 8)
% 0.47/0.64  Evaluation took:
% 0.47/0.64    0.166 seconds of real time
% 0.47/0.64    0.145029 seconds of user run time
% 0.47/0.64    0.021133 seconds of system run time
% 0.47/0.64    0 calls to %EVAL
% 0.47/0.64    0 page faults and
% 0.47/0.64    10,755,024 bytes consed.
% 0.47/0.64  :PROOF-FOUND
% 0.47/0.64  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:15:40
% 0.47/0.64  :PROOF-FOUND
% 0.47/0.64  * 
%------------------------------------------------------------------------------