TSTP Solution File: LCL172-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL172-3 : TPTP v8.1.0. Released v2.3.0.
% 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 : Sun Jul 17 14:20:44 EDT 2022

% Result   : Unsatisfiable 0.41s 0.57s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   7 unt;   0 nHn;   4 RR)
%            Number of literals    :    9 (   1 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_5,axiom,
    axiom(implies(or(X,or(Y,Z)),or(Y,or(X,Z)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).

cnf(implies_definition,axiom,
    implies(X,Y) = or(not(X),Y),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

cnf(rule_1,axiom,
    ( theorem(X)
    | ~ axiom(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(implies(implies(p,implies(q,r)),implies(q,implies(p,r)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(18,plain,
    axiom(implies(or(X,implies(Y,Z)),implies(Y,or(X,Z)))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[axiom_1_5,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).

cnf(22,plain,
    ~ axiom(implies(implies(p,implies(q,r)),implies(q,implies(p,r)))),
    inference('UR-RESOLVE',[status(thm)],[rule_1,prove_this]) ).

cnf(420,plain,
    axiom(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).

cnf(421,plain,
    $false,
    inference('REWRITE',[status(thm)],[22,420]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL172-3 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13  % 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 : Sun Jul  3 00:24:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 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 2022-07-03T00:24:10
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-03T00:24:10
% 0.41/0.57  
% 0.41/0.57  
% 0.41/0.57  #||
% 0.41/0.57  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.57  % SZS output start Refutation
% See solution above
% 0.41/0.58  ||#
% 0.41/0.58  
% 0.41/0.58  ; Summary of computation:
% 0.41/0.58  ;       766 formulas have been input or derived (from 60 formulas).
% 0.41/0.58  ;       421 (55%) were retained.  Of these,
% 0.41/0.58  ;            1 ( 0%) were simplified or subsumed later,
% 0.41/0.58  ;          420 (100%) are still being kept.
% 0.41/0.58  ; 
% 0.41/0.58  ; Run time in seconds excluding printing time:
% 0.41/0.58  ;     0.002   2%   Read assertion file          (1 call)
% 0.41/0.58  ;     0.000   0%   Assert                       (9 calls)
% 0.41/0.58  ;     0.040  38%   Process new row              (682 calls)
% 0.41/0.58  ;     0.016  15%   Resolution                   (118 calls)
% 0.41/0.58  ;     0.003   3%   Paramodulation               (59 calls)
% 0.41/0.58  ;     0.000   0%   Condensing                   (2 calls)
% 0.41/0.58  ;     0.000   0%   Forward subsumption          (2 calls)
% 0.41/0.58  ;     0.000   0%   Backward subsumption         (2 calls)
% 0.41/0.58  ;     0.015  14%   Forward simplification       (682 calls)
% 0.41/0.58  ;     0.006   6%   Backward simplification      (421 calls)
% 0.41/0.58  ;     0.000   0%   Ordering                     (42 calls)
% 0.41/0.58  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.41/0.58  ;     0.000   0%   Purity testing               (1 call)
% 0.41/0.58  ;     0.023  22%   Other
% 0.41/0.58  ;     0.105        Total
% 0.41/0.58  ;     0.107        Real time
% 0.41/0.58  ; 
% 0.41/0.58  ; Term-hash-array has 942 terms in all.
% 0.41/0.58  ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.41/0.58  ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 0.41/0.58  ;  Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.41/0.58  ;  Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.41/0.58  ; Path-index has 944 entries (945 at peak, 945 added, 1 deleted).
% 0.41/0.58  ; Path-index has 1,954 nodes (1,960 at peak, 1,960 added, 6 deleted).
% 0.41/0.58  ; Trie-index has 944 entries (945 at peak, 945 added, 1 deleted).
% 0.41/0.58  ; Trie-index has 3,801 nodes (3,810 at peak, 3,810 added, 9 deleted).
% 0.41/0.58  ; Retrieved 1,118 generalization terms in 1,415 calls.
% 0.41/0.58  ; Retrieved 446 instance terms in 418 calls.
% 0.41/0.58  ; Retrieved 5,153 unifiable terms in 696 calls.
% 0.41/0.58  ; 
% 0.41/0.58  ; The agenda of rows to process has 1 entry:
% 0.41/0.58  ;     1 with value 20
% 0.41/0.58  ; The agenda of rows to give has 360 entries:
% 0.41/0.58  ;    12 with value (4 17)         40 with value (4 23)          20 with value (4 29)
% 0.41/0.58  ;    16 with value (4 18)         43 with value (4 24)           7 with value (4 30)
% 0.41/0.58  ;    25 with value (4 19)         37 with value (4 25)           6 with value (4 31)
% 0.41/0.58  ;    22 with value (4 20)         28 with value (4 26)           1 with value (4 33)
% 0.41/0.58  ;    28 with value (4 21)         20 with value (4 27)           1 with value (4 37)
% 0.41/0.58  ;    40 with value (4 22)         14 with value (4 28)
% 0.41/0.58  Evaluation took:
% 0.41/0.58    0.107 seconds of real time
% 0.41/0.58    0.094649 seconds of user run time
% 0.41/0.58    0.011854 seconds of system run time
% 0.41/0.58    0 calls to %EVAL
% 0.41/0.58    0 page faults and
% 0.41/0.58    6,117,400 bytes consed.
% 0.41/0.58  :PROOF-FOUND
% 0.41/0.58  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T00:24:10
% 0.41/0.58  :PROOF-FOUND
% 0.41/0.58  * 
%------------------------------------------------------------------------------