TSTP Solution File: HWV069-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV069-1 : TPTP v8.1.0. Bugfixed v5.5.1.
% 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 : Sat Jul 16 19:11:38 EDT 2022

% Result   : Unsatisfiable 26.93s 27.13s
% Output   : Refutation 26.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   34 (  17 unt;   2 nHn;  34 RR)
%            Number of literals    :   74 (   0 equ;  50 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   3 prp; 0-4 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   80 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_902,axiom,
    ( ~ p(X)
    | esk1_0
    | ~ p(Y)
    | ~ esk7937_4(Z,U,Y,X)
    | ~ p(U)
    | ~ p(Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_902) ).

cnf(i_0_1548,axiom,
    ( ~ esk8751_4(X,Y,Z,U)
    | esk7826_4(X,Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_1548) ).

cnf(i_0_3018,axiom,
    ( ~ esk7953_4(X,Y,Z,U)
    | esk7952_4(X,Y,Z,U)
    | esk7951_4(X,Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_3018) ).

cnf(i_0_3978,axiom,
    ( esk7825_4(X,Y,Z,U)
    | esk7824_4(X,Y,Z,U)
    | ~ esk7826_4(X,Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_3978) ).

cnf(i_0_6826,axiom,
    ( ~ esk8752_4(X,Y,Z,U)
    | esk9168_4(X,Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_6826) ).

cnf(i_0_8559,axiom,
    ( esk7953_4(X,Y,Z,U)
    | ~ esk7824_4(X,Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_8559) ).

cnf(i_0_14639,axiom,
    ( ~ p(X)
    | ~ p(Y)
    | ~ p(Z)
    | ~ esk2_0
    | ~ p(U)
    | esk8751_4(X,Z,U,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_14639) ).

cnf(i_0_15706,axiom,
    ( esk8752_4(X,Y,Z,U)
    | ~ esk7951_4(X,Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_15706) ).

cnf(i_0_15881,axiom,
    ~ esk1_0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_15881) ).

cnf(i_0_16826,axiom,
    ( ~ p(X)
    | esk1_0
    | ~ p(Y)
    | ~ p(Z)
    | ~ esk9168_4(U,Z,X,Y)
    | ~ p(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_16826) ).

cnf(16792,plain,
    ( ~ p(X)
    | ~ p(Y)
    | ~ p(Z)
    | ~ esk9168_4(U,Z,X,Y)
    | ~ p(U) ),
    inference('REWRITE',[status(thm)],[i_0_16826,i_0_15881]) ).

cnf(i_0_17201,axiom,
    ( ~ esk7825_4(X,Y,Z,U)
    | esk8761_4(X,Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_17201) ).

cnf(i_0_18074,axiom,
    ( esk7937_4(X,Y,Z,U)
    | ~ esk9108_4(X,Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_18074) ).

cnf(i_0_18461,axiom,
    ~ esk8120_4(X,Y,Z,U),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_18461) ).

cnf(i_0_25550,axiom,
    esk2_0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_25550) ).

cnf(i_0_26419,axiom,
    ( esk9108_4(X,Y,Z,U)
    | ~ esk7952_4(X,Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_26419) ).

cnf(i_0_27269,axiom,
    ( ~ esk8761_4(X,Y,Z,U)
    | esk8120_4(X,Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_27269) ).

cnf(27183,plain,
    ~ esk8761_4(X,Y,Z,U),
    inference('REWRITE',[status(thm)],[i_0_27269,i_0_18461]) ).

cnf(rule_true,axiom,
    p(true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_true) ).

cnf(27664,plain,
    ~ esk7825_4(X,Y,Z,U),
    inference('REWRITE',[status(thm)],[i_0_17201,27183]) ).

cnf(27665,plain,
    ( esk7824_4(X,Y,Z,U)
    | ~ esk7826_4(X,Y,Z,U) ),
    inference('REWRITE',[status(thm)],[i_0_3978,27664]) ).

cnf(27962,plain,
    ( ~ p(X)
    | ~ p(Y)
    | ~ p(Z)
    | ~ p(U)
    | esk8751_4(X,Z,U,Y) ),
    inference('REWRITE',[status(thm)],[i_0_14639,i_0_25550]) ).

cnf(29231,plain,
    ( ~ p(X)
    | ~ p(Y)
    | ~ esk7937_4(Z,U,Y,X)
    | ~ p(U)
    | ~ p(Z) ),
    inference('REWRITE',[status(thm)],[i_0_902,i_0_15881]) ).

cnf(32721,plain,
    ~ esk9168_4(true,true,true,true),
    inference('UR-RESOLVE',[status(thm)],[16792,rule_true,rule_true,rule_true,rule_true]) ).

cnf(32856,plain,
    esk8751_4(true,true,true,true),
    inference('HYPERRESOLVE',[status(thm)],[27962,rule_true,rule_true,rule_true,rule_true]) ).

cnf(32869,plain,
    ~ esk7937_4(true,true,true,true),
    inference('UR-RESOLVE',[status(thm)],[29231,rule_true,rule_true,rule_true,rule_true]) ).

cnf(33499,plain,
    ~ esk8752_4(true,true,true,true),
    inference('UR-RESOLVE',[status(thm)],[i_0_6826,32721]) ).

cnf(33687,plain,
    esk7826_4(true,true,true,true),
    inference('HYPERRESOLVE',[status(thm)],[i_0_1548,32856]) ).

cnf(33700,plain,
    ~ esk9108_4(true,true,true,true),
    inference('UR-RESOLVE',[status(thm)],[i_0_18074,32869]) ).

cnf(33973,plain,
    ~ esk7951_4(true,true,true,true),
    inference('UR-RESOLVE',[status(thm)],[i_0_15706,33499]) ).

cnf(34083,plain,
    esk7824_4(true,true,true,true),
    inference('HYPERRESOLVE',[status(thm)],[27665,33687]) ).

cnf(34105,plain,
    ~ esk7952_4(true,true,true,true),
    inference('UR-RESOLVE',[status(thm)],[i_0_26419,33700]) ).

cnf(34571,plain,
    esk7953_4(true,true,true,true),
    inference('HYPERRESOLVE',[status(thm)],[i_0_8559,34083]) ).

cnf(34602,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[i_0_3018,34105,33973]),34571]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : HWV069-1 : TPTP v8.1.0. Bugfixed v5.5.1.
% 0.11/0.13  % 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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 23:49:26 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T23:49:27
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-16T23:49:27
% 26.93/27.13  
% 26.93/27.13  
% 26.93/27.13  #||
% 26.93/27.13  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.93/27.13  % SZS output start Refutation
% See solution above
% 26.93/27.16  ||#
% 26.93/27.16  
% 26.93/27.16  ; Summary of computation:
% 26.93/27.16  ;     42733 formulas have been input or derived (from 24957 formulas).
% 26.93/27.16  ;     34602 (81%) were retained.  Of these,
% 26.93/27.16  ;         5463 (16%) were simplified or subsumed later,
% 26.93/27.16  ;        29139 (84%) are still being kept.
% 26.93/27.16  ; 
% 26.93/27.16  ; Run time in seconds excluding printing time:
% 26.93/27.16  ;     2.528   9%   Read assertion file          (1 call)
% 26.93/27.16  ;     0.487   2%   Assert                       (27,749 calls)
% 26.93/27.16  ;     1.390   5%   Process new row              (40,588 calls)
% 26.93/27.16  ;    18.131  68%   Resolution                   (49,912 calls)
% 26.93/27.16  ;     0.044   0%   Paramodulation               (24,956 calls)
% 26.93/27.16  ;     0.005   0%   Factoring                    (1,708 calls)
% 26.93/27.16  ;     0.269   1%   Condensing                   (35,875 calls)
% 26.93/27.16  ;     0.621   2%   Forward subsumption          (35,875 calls)
% 26.93/27.16  ;     2.020   8%   Backward subsumption         (31,649 calls)
% 26.93/27.16  ;     0.006   0%   Clause clause subsumption    (4,226 calls)
% 26.93/27.16  ;     0.299   1%   Forward simplification       (40,588 calls)
% 26.93/27.16  ;     0.314   1%   Backward simplification      (33,887 calls)
% 26.93/27.16  ;     0.075   0%   Ordering                     (12,331 calls)
% 26.93/27.16  ;     0.000   0%   Sortal reasoning             (32 calls)
% 26.93/27.16  ;     0.124   0%   Purity testing               (1 call)
% 26.93/27.16  ;     0.345   1%   Other
% 26.93/27.16  ;    26.658        Total
% 26.93/27.16  ;    26.694        Real time
% 26.93/27.16  ; 
% 26.93/27.16  ; Term-hash-array has 12,534 terms in all.
% 26.93/27.16  ; Feature-vector-row-index has 26,901 entries (26,901 at peak, 31,649 added, 4,748 deleted).
% 26.93/27.16  ; Feature-vector-row-index has 3,361 nodes (3,361 at peak, 3,570 added, 209 deleted).
% 26.93/27.16  ;  Retrieved 2,248,527 possibly forward subsuming rows in 35,875 calls.
% 26.93/27.16  ;  Retrieved 2,163,654 possibly backward subsumed rows in 31,649 calls.
% 26.93/27.16  ; Path-index has 13,865 entries (13,865 at peak, 14,057 added, 192 deleted).
% 26.93/27.16  ; Path-index has 82,154 nodes (82,154 at peak, 82,662 added, 508 deleted).
% 26.93/27.16  ; Trie-index has 13,865 entries (13,865 at peak, 14,057 added, 192 deleted).
% 26.93/27.16  ; Trie-index has 49,356 nodes (49,356 at peak, 49,987 added, 631 deleted).
% 26.93/27.16  ; Retrieved 3,176 generalization terms in 5,023 calls.
% 26.93/27.16  ; Retrieved 2,237 instance terms in 2,237 calls.
% 26.93/27.16  ; Retrieved 429,488 unifiable terms in 140,843 calls.
% 26.93/27.16  ; 
% 26.93/27.16  ; The agenda of rows to give has 4182 entries:
% 26.93/27.16  ;   136 with value (4 9)        2965 with value (4 13)          53 with value (4 16)
% 26.93/27.16  ;   280 with value (4 10)        210 with value (4 14)         140 with value (4 17)
% 26.93/27.16  ;   140 with value (4 11)         83 with value (4 15)         175 with value (4 19)
% 26.93/27.16  Evaluation took:
% 26.93/27.16    26.694 seconds of real time
% 26.93/27.16    26.056232 seconds of user run time
% 26.93/27.16    0.635308 seconds of system run time
% 26.93/27.16    [Run times include 1.154 seconds GC run time.]
% 26.93/27.16    0 calls to %EVAL
% 26.93/27.16    0 page faults and
% 26.93/27.16    643,023,280 bytes consed.
% 26.93/27.16  :PROOF-FOUND
% 26.93/27.16  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T23:49:53
% 26.93/27.16  :PROOF-FOUND
% 26.93/27.16  * 
%------------------------------------------------------------------------------