TSTP Solution File: SYN195-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN195-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 11:58:22 EDT 2022

% Result   : Unsatisfiable 0.47s 0.63s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   23 (  13 unt;   0 nHn;  15 RR)
%            Number of literals    :   40 (   0 equ;  20 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    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   36 (  18 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_9,axiom,
    r0(b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).

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_32,axiom,
    k0(b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).

cnf(rule_003,axiom,
    ( l1(X,Y)
    | ~ p0(Z,X)
    | ~ r0(U)
    | ~ m0(Y,X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_003) ).

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_240,axiom,
    ( n3(X)
    | ~ p2(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).

cnf(rule_248,axiom,
    ( p3(X,X,X)
    | ~ p2(Y,X,X)
    | ~ n3(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_248) ).

cnf(rule_299,axiom,
    ( s4(X)
    | ~ p3(Y,Z,U)
    | ~ l1(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_299) ).

cnf(rule_327,axiom,
    ( r5(X,Y)
    | ~ s4(X)
    | ~ k0(b)
    | ~ n3(Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_327) ).

cnf(378,plain,
    ( r5(X,Y)
    | ~ s4(X)
    | ~ n3(Y) ),
    inference('REWRITE',[status(thm)],[rule_327,axiom_32]) ).

cnf(prove_this,negated_conjecture,
    ~ r5(d,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(449,plain,
    q1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).

cnf(451,plain,
    p2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_154,449]) ).

cnf(454,plain,
    n3(X),
    inference('HYPERRESOLVE',[status(thm)],[rule_240,451]) ).

cnf(455,plain,
    ( r5(X,Y)
    | ~ s4(X) ),
    inference('REWRITE',[status(thm)],[378,454]) ).

cnf(457,plain,
    ( p3(X,X,X)
    | ~ p2(Y,X,X) ),
    inference('REWRITE',[status(thm)],[rule_248,454]) ).

cnf(462,plain,
    ~ s4(d),
    inference('UR-RESOLVE',[status(thm)],[455,prove_this]) ).

cnf(465,plain,
    p3(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[457,451]) ).

cnf(508,plain,
    l1(d,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_003,axiom_14,axiom_9,axiom_19]) ).

cnf(586,plain,
    ~ p3(X,Y,Z),
    inference('UR-RESOLVE',[status(thm)],[rule_299,508,462]) ).

cnf(587,plain,
    $false,
    inference('REWRITE',[status(thm)],[465,586]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN195-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jul 11 22:44:27 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-11T22:44:27
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-11T22:44:27
% 0.20/0.55  WARNING:
% 0.20/0.55     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.55  WARNING:
% 0.20/0.55     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.63  
% 0.47/0.63  
% 0.47/0.63  #||
% 0.47/0.63  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.63  % 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  ;      1170 formulas have been input or derived (from 308 formulas).
% 0.47/0.64  ;       587 (50%) were retained.  Of these,
% 0.47/0.64  ;          309 (53%) were simplified or subsumed later,
% 0.47/0.64  ;          278 (47%) are still being kept.
% 0.47/0.64  ; 
% 0.47/0.64  ; Run time in seconds excluding printing time:
% 0.47/0.64  ;     0.061  37%   Read assertion file          (1 call)
% 0.47/0.64  ;     0.008   5%   Assert                       (369 calls)
% 0.47/0.64  ;     0.026  16%   Process new row              (986 calls)
% 0.47/0.64  ;     0.010   6%   Resolution                   (614 calls)
% 0.47/0.64  ;     0.000   0%   Paramodulation               (307 calls)
% 0.47/0.64  ;     0.004   2%   Condensing                   (345 calls)
% 0.47/0.64  ;     0.001   1%   Forward subsumption          (345 calls)
% 0.47/0.64  ;     0.009   5%   Backward subsumption         (331 calls)
% 0.47/0.64  ;     0.001   1%   Clause clause subsumption    (169 calls)
% 0.47/0.64  ;     0.005   3%   Forward simplification       (924 calls)
% 0.47/0.64  ;     0.007   4%   Backward simplification      (539 calls)
% 0.47/0.64  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.47/0.64  ;     0.001   1%   Purity testing               (1 call)
% 0.47/0.64  ;     0.031  19%   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 647 terms in all.
% 0.47/0.64  ; Feature-vector-row-index has 129 entries (275 at peak, 331 added, 202 deleted).
% 0.47/0.64  ; Feature-vector-row-index has 474 nodes (939 at peak, 1,142 added, 668 deleted).
% 0.47/0.64  ;  Retrieved 147 possibly forward subsuming rows in 345 calls.
% 0.47/0.64  ;  Retrieved 159 possibly backward subsumed rows in 331 calls.
% 0.47/0.64  ; Path-index has 425 entries (532 at peak, 726 added, 301 deleted).
% 0.47/0.64  ; Path-index has 437 nodes (471 at peak, 564 added, 127 deleted).
% 0.47/0.64  ; Trie-index has 425 entries (532 at peak, 726 added, 301 deleted).
% 0.47/0.64  ; Trie-index has 567 nodes (596 at peak, 893 added, 326 deleted).
% 0.47/0.64  ; Retrieved 541 generalization terms in 1,008 calls.
% 0.47/0.64  ; Retrieved 532 instance terms in 207 calls.
% 0.47/0.64  ; Retrieved 9,215 unifiable terms in 2,037 calls.
% 0.47/0.64  ; 
% 0.47/0.64  ; The agenda of backward simplifiable rows to process has 6 entries:
% 0.47/0.64  ;     6 with value 0
% 0.47/0.64  ; The agenda of rows to give has 83 entries:
% 0.47/0.64  ;     7 with value (4 5)          53 with value (4 6)           23 with value (4 7)
% 0.47/0.64  Evaluation took:
% 0.47/0.64    0.166 seconds of real time
% 0.47/0.64    0.154732 seconds of user run time
% 0.47/0.64    0.011645 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    9,987,704 bytes consed.
% 0.47/0.64  :PROOF-FOUND
% 0.47/0.64  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T22:44:28
% 0.47/0.64  :PROOF-FOUND
% 0.47/0.64  * 
%------------------------------------------------------------------------------