TSTP Solution File: SYN157-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN157-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 11:58:06 EDT 2022

% Result   : Unsatisfiable 0.43s 0.62s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   22 (  13 unt;   0 nHn;  15 RR)
%            Number of literals    :   35 (   0 equ;  16 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   33 (  18 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_14,axiom,
    p0(b,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(axiom_19,axiom,
    m0(X,d,Y),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

cnf(axiom_30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).

cnf(rule_085,axiom,
    ( p1(X,X,X)
    | ~ p0(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_085) ).

cnf(rule_110,axiom,
    ( q1(X,X,X)
    | ~ m0(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_110) ).

cnf(rule_154,axiom,
    ( p2(X,X,X)
    | ~ q1(X,X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_154) ).

cnf(rule_181,axiom,
    ( q2(X,X,X)
    | ~ p1(X,X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).

cnf(rule_240,axiom,
    ( n3(X)
    | ~ p2(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).

cnf(rule_255,axiom,
    ( q3(X,Y)
    | ~ q2(Z,X,Y)
    | ~ n0(Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_255) ).

cnf(rule_298,axiom,
    ( r4(X)
    | ~ n3(X)
    | ~ q3(Y,Z)
    | ~ p0(U,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_298) ).

cnf(rule_314,axiom,
    ( n5(X,X)
    | ~ r4(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_314) ).

cnf(prove_this,negated_conjecture,
    ~ n5(X,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(394,plain,
    ~ r4(d),
    inference('UR-RESOLVE',[status(thm)],[rule_314,prove_this]) ).

cnf(423,plain,
    p1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_085,axiom_14]) ).

cnf(425,plain,
    q2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_181,423]) ).

cnf(451,plain,
    q1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).

cnf(453,plain,
    p2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_154,451]) ).

cnf(456,plain,
    n3(X),
    inference('HYPERRESOLVE',[status(thm)],[rule_240,453]) ).

cnf(460,plain,
    ( r4(X)
    | ~ q3(Y,Z)
    | ~ p0(U,X) ),
    inference('REWRITE',[status(thm)],[rule_298,456]) ).

cnf(499,plain,
    q3(e,e),
    inference('HYPERRESOLVE',[status(thm)],[rule_255,425,axiom_30]) ).

cnf(571,plain,
    ~ q3(X,Y),
    inference('UR-RESOLVE',[status(thm)],[460,394,axiom_14]) ).

cnf(572,plain,
    $false,
    inference('REWRITE',[status(thm)],[499,571]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN157-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 03:09:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-12T03:09:09
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-12T03:09:09
% 0.18/0.55  WARNING:
% 0.18/0.55     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.55  WARNING:
% 0.18/0.55     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.55  WARNING:
% 0.18/0.55     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62  
% 0.43/0.62  
% 0.43/0.62  #||
% 0.43/0.62  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.62  % SZS output start Refutation
% See solution above
% 0.43/0.62  ||#
% 0.43/0.62  
% 0.43/0.62  ; Summary of computation:
% 0.43/0.62  ;      1058 formulas have been input or derived (from 285 formulas).
% 0.43/0.62  ;       572 (54%) were retained.  Of these,
% 0.43/0.62  ;          287 (50%) were simplified or subsumed later,
% 0.43/0.62  ;          285 (50%) are still being kept.
% 0.43/0.62  ; 
% 0.43/0.62  ; Run time in seconds excluding printing time:
% 0.43/0.62  ;     0.063  41%   Read assertion file          (1 call)
% 0.43/0.62  ;     0.008   5%   Assert                       (369 calls)
% 0.43/0.62  ;     0.022  14%   Process new row              (911 calls)
% 0.43/0.62  ;     0.011   7%   Resolution                   (568 calls)
% 0.43/0.62  ;     0.002   1%   Paramodulation               (284 calls)
% 0.43/0.62  ;     0.006   4%   Condensing                   (340 calls)
% 0.43/0.62  ;     0.003   2%   Forward subsumption          (340 calls)
% 0.43/0.62  ;     0.004   3%   Backward subsumption         (326 calls)
% 0.43/0.62  ;     0.001   1%   Clause clause subsumption    (169 calls)
% 0.43/0.62  ;     0.006   4%   Forward simplification       (849 calls)
% 0.43/0.62  ;     0.007   5%   Backward simplification      (525 calls)
% 0.43/0.62  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.43/0.62  ;     0.002   1%   Purity testing               (1 call)
% 0.43/0.62  ;     0.019  12%   Other
% 0.43/0.62  ;     0.155        Total
% 0.43/0.62  ;     0.157        Real time
% 0.43/0.62  ; 
% 0.43/0.62  ; Term-hash-array has 638 terms in all.
% 0.43/0.62  ; Feature-vector-row-index has 141 entries (273 at peak, 326 added, 185 deleted).
% 0.43/0.62  ; Feature-vector-row-index has 514 nodes (936 at peak, 1,130 added, 616 deleted).
% 0.43/0.62  ;  Retrieved 147 possibly forward subsuming rows in 340 calls.
% 0.43/0.62  ;  Retrieved 158 possibly backward subsumed rows in 326 calls.
% 0.43/0.62  ; Path-index has 447 entries (528 at peak, 716 added, 269 deleted).
% 0.43/0.62  ; Path-index has 442 nodes (464 at peak, 554 added, 112 deleted).
% 0.43/0.62  ; Trie-index has 447 entries (528 at peak, 716 added, 269 deleted).
% 0.43/0.62  ; Trie-index has 572 nodes (586 at peak, 877 added, 305 deleted).
% 0.43/0.62  ; Retrieved 474 generalization terms in 940 calls.
% 0.43/0.62  ; Retrieved 500 instance terms in 198 calls.
% 0.43/0.62  ; Retrieved 7,868 unifiable terms in 1,661 calls.
% 0.43/0.62  ; 
% 0.43/0.62  ; The agenda of backward simplifiable rows to process has 5 entries:
% 0.43/0.62  ;     5 with value 0
% 0.43/0.62  ; The agenda of rows to give has 94 entries:
% 0.43/0.62  ;     5 with value (4 4)          53 with value (4 6)           17 with value (4 7)
% 0.43/0.62  ;    19 with value (4 5)
% 0.43/0.62  Evaluation took:
% 0.43/0.62    0.157 seconds of real time
% 0.43/0.62    0.141639 seconds of user run time
% 0.43/0.62    0.015959 seconds of system run time
% 0.43/0.62    0 calls to %EVAL
% 0.43/0.62    0 page faults and
% 0.43/0.62    9,653,696 bytes consed.
% 0.43/0.62  :PROOF-FOUND
% 0.43/0.62  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T03:09:10
% 0.43/0.62  :PROOF-FOUND
% 0.43/0.62  * 
%------------------------------------------------------------------------------