TSTP Solution File: SYN096-1.008 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN096-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 11:57:35 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   32
% Syntax   : Number of clauses     :   60 (  32 unt;   0 nHn;  60 RR)
%            Number of literals    :  115 (   0 equ;  56 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   32 (  31 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(m_s3_goal_1,negated_conjecture,
    ( ~ p_0(X)
    | ~ q_0(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_goal_1) ).

cnf(m_s3_type11_2,axiom,
    ( p_0(X)
    | ~ q_1(X)
    | ~ q_2(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_2) ).

cnf(m_s3_type11_6,axiom,
    ( p_2(X)
    | ~ q_3(X)
    | ~ q_4(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_6) ).

cnf(m_s3_type11_8,axiom,
    ( p_3(X)
    | ~ q_4(X)
    | ~ q_5(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_8) ).

cnf(m_s3_type11_10,axiom,
    ( p_4(X)
    | ~ q_5(X)
    | ~ q_6(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_10) ).

cnf(m_s3_type11_12,axiom,
    ( p_5(X)
    | ~ q_6(X)
    | ~ q_7(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_12) ).

cnf(m_s3_type11_14,axiom,
    ( p_6(X)
    | ~ q_7(X)
    | ~ q_8(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_14) ).

cnf(m_s3_type11_16,axiom,
    ( p_7(X)
    | ~ q_8(X)
    | ~ q_9(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_16) ).

cnf(m_s3_type11_18,axiom,
    ( p_8(X)
    | ~ q_9(X)
    | ~ q_10(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_18) ).

cnf(m_s3_type11_20,axiom,
    ( p_9(X)
    | ~ q_10(X)
    | ~ q_11(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_20) ).

cnf(m_s3_type11_22,axiom,
    ( p_10(X)
    | ~ q_11(X)
    | ~ q_12(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_22) ).

cnf(m_s3_type11_24,axiom,
    ( p_11(X)
    | ~ q_12(X)
    | ~ q_13(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_24) ).

cnf(m_s3_type11_25,axiom,
    ( p_12(X)
    | ~ p_13(X)
    | ~ p_14(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_25) ).

cnf(m_s3_type11_27,axiom,
    ( p_13(X)
    | ~ p_14(X)
    | ~ p_15(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type11_27) ).

cnf(m_s3_type12_2,axiom,
    ( q_0(X)
    | ~ q_1(X)
    | ~ p_2(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_2) ).

cnf(m_s3_type12_4,axiom,
    ( q_1(X)
    | ~ q_2(X)
    | ~ p_3(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_4) ).

cnf(m_s3_type12_6,axiom,
    ( q_2(X)
    | ~ q_3(X)
    | ~ p_4(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_6) ).

cnf(m_s3_type12_8,axiom,
    ( q_3(X)
    | ~ q_4(X)
    | ~ p_5(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_8) ).

cnf(m_s3_type12_10,axiom,
    ( q_4(X)
    | ~ q_5(X)
    | ~ p_6(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_10) ).

cnf(m_s3_type12_12,axiom,
    ( q_5(X)
    | ~ q_6(X)
    | ~ p_7(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_12) ).

cnf(m_s3_type12_14,axiom,
    ( q_6(X)
    | ~ q_7(X)
    | ~ p_8(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_14) ).

cnf(m_s3_type12_16,axiom,
    ( q_7(X)
    | ~ q_8(X)
    | ~ p_9(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_16) ).

cnf(m_s3_type12_18,axiom,
    ( q_8(X)
    | ~ q_9(X)
    | ~ p_10(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_18) ).

cnf(m_s3_type12_20,axiom,
    ( q_9(X)
    | ~ q_10(X)
    | ~ p_11(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_20) ).

cnf(m_s3_type12_22,axiom,
    ( q_10(X)
    | ~ q_11(X)
    | ~ p_12(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_22) ).

cnf(m_s3_type12_24,axiom,
    ( q_11(X)
    | ~ q_12(X)
    | ~ p_13(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_24) ).

cnf(m_s3_type12_25,axiom,
    ( q_12(X)
    | ~ p_13(X)
    | ~ q_14(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_25) ).

cnf(m_s3_type12_27,axiom,
    ( q_13(X)
    | ~ p_14(X)
    | ~ q_15(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s3_type12_27) ).

cnf(m_t3_1,axiom,
    p_14(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t3_1) ).

cnf(m_t3_2,axiom,
    p_15(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t3_2) ).

cnf(m_t3_3,axiom,
    q_14(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t3_3) ).

cnf(m_t3_4,axiom,
    q_15(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t3_4) ).

cnf(64,plain,
    p_13(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type11_27,m_t3_1,m_t3_2]) ).

cnf(65,plain,
    q_13(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type12_27,m_t3_1,m_t3_4]) ).

cnf(66,plain,
    q_12(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type12_25,64,m_t3_3]) ).

cnf(67,plain,
    p_12(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type11_25,64,m_t3_1]) ).

cnf(68,plain,
    q_11(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type12_24,66,64]) ).

cnf(69,plain,
    p_11(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type11_24,66,65]) ).

cnf(70,plain,
    q_10(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type12_22,68,67]) ).

cnf(71,plain,
    p_10(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type11_22,68,66]) ).

cnf(72,plain,
    q_9(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type12_20,70,69]) ).

cnf(73,plain,
    p_9(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type11_20,70,68]) ).

cnf(74,plain,
    q_8(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type12_18,72,71]) ).

cnf(75,plain,
    p_8(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type11_18,72,70]) ).

cnf(76,plain,
    q_7(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type12_16,74,73]) ).

cnf(77,plain,
    p_7(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type11_16,74,72]) ).

cnf(78,plain,
    q_6(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type12_14,76,75]) ).

cnf(79,plain,
    p_6(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type11_14,76,74]) ).

cnf(80,plain,
    q_5(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type12_12,78,77]) ).

cnf(81,plain,
    p_5(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type11_12,78,76]) ).

cnf(82,plain,
    q_4(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type12_10,80,79]) ).

cnf(83,plain,
    p_4(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type11_10,80,78]) ).

cnf(84,plain,
    q_3(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type12_8,82,81]) ).

cnf(85,plain,
    p_3(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type11_8,82,80]) ).

cnf(86,plain,
    q_2(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type12_6,84,83]) ).

cnf(87,plain,
    p_2(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type11_6,84,82]) ).

cnf(88,plain,
    q_1(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type12_4,86,85]) ).

cnf(90,plain,
    q_0(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type12_2,88,87]) ).

cnf(91,plain,
    p_0(a),
    inference('HYPERRESOLVE',[status(thm)],[m_s3_type11_2,88,86]) ).

cnf(92,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[m_s3_goal_1,90]),91]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN096-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 23:49:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 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 2022-07-11T23:49:09
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-11T23:49:09
% 0.18/0.49  WARNING:
% 0.18/0.49     |p_16| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |q_16| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  #||
% 0.18/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51  % SZS output start Refutation
% See solution above
% 0.18/0.51  ||#
% 0.18/0.51  
% 0.18/0.51  ; Summary of computation:
% 0.18/0.51  ;       182 formulas have been input or derived (from 91 formulas).
% 0.18/0.51  ;        92 (51%) were retained.  Of these,
% 0.18/0.51  ;           92 (100%) are still being kept.
% 0.18/0.51  ; 
% 0.18/0.51  ; Run time in seconds excluding printing time:
% 0.18/0.51  ;     0.009  20%   Read assertion file          (1 call)
% 0.18/0.51  ;     0.002   4%   Assert                       (65 calls)
% 0.18/0.51  ;     0.006  13%   Process new row              (178 calls)
% 0.18/0.51  ;     0.001   2%   Resolution                   (180 calls)
% 0.18/0.51  ;     0.002   4%   Paramodulation               (90 calls)
% 0.18/0.51  ;     0.000   0%   Condensing                   (59 calls)
% 0.18/0.51  ;     0.000   0%   Forward subsumption          (59 calls)
% 0.18/0.51  ;     0.001   2%   Backward subsumption         (59 calls)
% 0.18/0.51  ;     0.001   2%   Forward simplification       (176 calls)
% 0.18/0.51  ;     0.001   2%   Backward simplification      (92 calls)
% 0.18/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.51  ;     0.022  49%   Other
% 0.18/0.51  ;     0.045        Total
% 0.18/0.51  ;     0.050        Real time
% 0.18/0.51  ; 
% 0.18/0.51  ; Term-hash-array has 64 terms in all.
% 0.18/0.51  ; Feature-vector-row-index has 59 entries (59 at peak, 59 added, 0 deleted).
% 0.18/0.51  ; Feature-vector-row-index has 62 nodes (62 at peak, 62 added, 0 deleted).
% 0.18/0.51  ;  Retrieved 38 possibly forward subsuming rows in 59 calls.
% 0.18/0.51  ;  Retrieved 44 possibly backward subsumed rows in 59 calls.
% 0.18/0.51  ; Path-index has 65 entries (65 at peak, 65 added, 0 deleted).
% 0.18/0.51  ; Path-index has 98 nodes (98 at peak, 98 added, 0 deleted).
% 0.18/0.51  ; Trie-index has 65 entries (65 at peak, 65 added, 0 deleted).
% 0.18/0.51  ; Trie-index has 98 nodes (98 at peak, 98 added, 0 deleted).
% 0.18/0.51  ; Retrieved 85 generalization terms in 85 calls.
% 0.18/0.51  ; Retrieved 32 instance terms in 32 calls.
% 0.18/0.51  ; Retrieved 738 unifiable terms in 613 calls.
% 0.18/0.51  ; 
% 0.18/0.51  ; The agenda of rows to give has 1 entry:
% 0.18/0.51  ;     1 with value (4 17)
% 0.18/0.51  Evaluation took:
% 0.18/0.51    0.05 seconds of real time
% 0.18/0.51    0.044141 seconds of user run time
% 0.18/0.51    0.006296 seconds of system run time
% 0.18/0.51    0 calls to %EVAL
% 0.18/0.51    0 page faults and
% 0.18/0.51    5,183,544 bytes consed.
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:49:09
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  * 
%------------------------------------------------------------------------------