TSTP Solution File: SYN190-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN190-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 11:58:19 EDT 2022

% Result   : Unsatisfiable 0.51s 0.68s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   35 (  20 unt;   0 nHn;  27 RR)
%            Number of literals    :   62 (   0 equ;  29 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   47 (  19 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
    s0(d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).

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

cnf(axiom_17,axiom,
    q0(X,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).

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

cnf(axiom_20,axiom,
    l0(a),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).

cnf(axiom_26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).

cnf(axiom_37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).

cnf(rule_002,axiom,
    ( l1(X,X)
    | ~ n0(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).

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_124,axiom,
    ( r1(X)
    | ~ q0(X,Y)
    | ~ s0(d)
    | ~ q1(d,Y,d) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).

cnf(177,plain,
    ( r1(X)
    | ~ q0(X,Y)
    | ~ q1(d,Y,d) ),
    inference('REWRITE',[status(thm)],[rule_124,axiom_1]) ).

cnf(rule_125,axiom,
    ( s1(X)
    | ~ p0(X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).

cnf(rule_126,axiom,
    ( s1(X)
    | ~ q0(X,Y)
    | ~ s1(Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).

cnf(rule_135,axiom,
    ( m2(X)
    | ~ s0(X)
    | ~ l1(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_135) ).

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_188,axiom,
    ( r2(X)
    | ~ r1(X)
    | ~ l0(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_188) ).

cnf(rule_192,axiom,
    ( k3(X,Y,X)
    | ~ s1(Y)
    | ~ p2(Z,Y,U)
    | ~ n0(X,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_192) ).

cnf(rule_235,axiom,
    ( m3(X,X,Y)
    | ~ r2(Y)
    | ~ k3(X,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_235) ).

cnf(rule_267,axiom,
    ( r3(X,Y,X)
    | ~ p2(X,Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_267) ).

cnf(rule_268,axiom,
    ( r3(X,X,Y)
    | ~ m2(Y)
    | ~ m3(Z,b,X)
    | ~ r3(Y,U,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_268) ).

cnf(prove_this,negated_conjecture,
    ~ r3(a,X,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(391,plain,
    s1(b),
    inference('HYPERRESOLVE',[status(thm)],[rule_125,axiom_14]) ).

cnf(393,plain,
    l1(c,c),
    inference('HYPERRESOLVE',[status(thm)],[rule_002,axiom_26]) ).

cnf(445,plain,
    q1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_110,axiom_19]) ).

cnf(447,plain,
    p2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_154,445]) ).

cnf(458,plain,
    r3(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_267,447]) ).

cnf(528,plain,
    s1(X),
    inference('HYPERRESOLVE',[status(thm)],[rule_126,391,axiom_17]) ).

cnf(529,plain,
    ( k3(X,Y,X)
    | ~ p2(Z,Y,U)
    | ~ n0(X,U) ),
    inference('REWRITE',[status(thm)],[rule_192,528]) ).

cnf(557,plain,
    k3(b,a,b),
    inference('HYPERRESOLVE',[status(thm)],[529,447,axiom_37]) ).

cnf(569,plain,
    m2(d),
    inference('HYPERRESOLVE',[status(thm)],[rule_135,393,axiom_1]) ).

cnf(640,plain,
    r1(X),
    inference('HYPERRESOLVE',[status(thm)],[177,445,axiom_17]) ).

cnf(642,plain,
    ( r2(X)
    | ~ l0(X) ),
    inference('REWRITE',[status(thm)],[rule_188,640]) ).

cnf(648,plain,
    r2(a),
    inference('HYPERRESOLVE',[status(thm)],[642,axiom_20]) ).

cnf(671,plain,
    ~ m3(X,b,a),
    inference('UR-RESOLVE',[status(thm)],[rule_268,458,prove_this,569]) ).

cnf(717,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_235,557,648]),671]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN190-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul 11 20:01:00 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T20:01:00
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-11T20:01:00
% 0.41/0.58  WARNING:
% 0.41/0.58     |m5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.41/0.58  WARNING:
% 0.41/0.58     |q5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.41/0.58  WARNING:
% 0.41/0.58     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68  
% 0.51/0.68  
% 0.51/0.68  #||
% 0.51/0.68  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.68  % SZS output start Refutation
% See solution above
% 0.51/0.68  ||#
% 0.51/0.68  
% 0.51/0.68  ; Summary of computation:
% 0.51/0.68  ;      1793 formulas have been input or derived (from 392 formulas).
% 0.51/0.68  ;       717 (40%) were retained.  Of these,
% 0.51/0.68  ;          365 (51%) were simplified or subsumed later,
% 0.51/0.68  ;          352 (49%) are still being kept.
% 0.51/0.68  ; 
% 0.51/0.68  ; Run time in seconds excluding printing time:
% 0.51/0.68  ;     0.063  34%   Read assertion file          (1 call)
% 0.51/0.68  ;     0.009   5%   Assert                       (369 calls)
% 0.51/0.68  ;     0.023  12%   Process new row              (1,484 calls)
% 0.51/0.68  ;     0.021  11%   Resolution                   (782 calls)
% 0.51/0.68  ;     0.000   0%   Paramodulation               (391 calls)
% 0.51/0.68  ;     0.004   2%   Condensing                   (356 calls)
% 0.51/0.68  ;     0.004   2%   Forward subsumption          (356 calls)
% 0.51/0.68  ;     0.008   4%   Backward subsumption         (342 calls)
% 0.51/0.68  ;     0.000   0%   Clause clause subsumption    (170 calls)
% 0.51/0.68  ;     0.011   6%   Forward simplification       (1,418 calls)
% 0.51/0.68  ;     0.012   6%   Backward simplification      (670 calls)
% 0.51/0.68  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.51/0.68  ;     0.001   1%   Purity testing               (1 call)
% 0.51/0.68  ;     0.029  16%   Other
% 0.51/0.68  ;     0.185        Total
% 0.51/0.68  ;     0.188        Real time
% 0.51/0.68  ; 
% 0.51/0.68  ; Term-hash-array has 735 terms in all.
% 0.51/0.68  ; Feature-vector-row-index has 113 entries (273 at peak, 342 added, 229 deleted).
% 0.51/0.68  ; Feature-vector-row-index has 403 nodes (936 at peak, 1,188 added, 785 deleted).
% 0.51/0.68  ;  Retrieved 149 possibly forward subsuming rows in 356 calls.
% 0.51/0.68  ;  Retrieved 160 possibly backward subsumed rows in 342 calls.
% 0.51/0.68  ; Path-index has 490 entries (528 at peak, 842 added, 352 deleted).
% 0.51/0.68  ; Path-index has 468 nodes (468 at peak, 612 added, 144 deleted).
% 0.51/0.68  ; Trie-index has 490 entries (528 at peak, 842 added, 352 deleted).
% 0.51/0.68  ; Trie-index has 675 nodes (675 at peak, 1,071 added, 396 deleted).
% 0.51/0.68  ; Retrieved 1,018 generalization terms in 1,508 calls.
% 0.51/0.68  ; Retrieved 707 instance terms in 327 calls.
% 0.51/0.68  ; Retrieved 15,210 unifiable terms in 3,479 calls.
% 0.51/0.68  ; 
% 0.51/0.68  ; The agenda of rows to process has 3 entries:
% 0.51/0.68  ;     3 with value 7
% 0.51/0.68  ; The agenda of rows to give has 108 entries:
% 0.51/0.68  ;    28 with value (4 6)          71 with value (4 7)            9 with value (4 8)
% 0.51/0.68  Evaluation took:
% 0.51/0.68    0.188 seconds of real time
% 0.51/0.68    0.17581 seconds of user run time
% 0.51/0.68    0.011999 seconds of system run time
% 0.51/0.68    0 calls to %EVAL
% 0.51/0.68    0 page faults and
% 0.51/0.68    11,959,296 bytes consed.
% 0.51/0.68  :PROOF-FOUND
% 0.51/0.68  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T20:01:00
% 0.51/0.68  :PROOF-FOUND
% 0.51/0.68  * 
%------------------------------------------------------------------------------