TSTP Solution File: SYN214-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN214-1 : 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 11:58:30 EDT 2022

% Result   : Unsatisfiable 0.48s 0.64s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   37 (  20 unt;   0 nHn;  26 RR)
%            Number of literals    :   64 (   0 equ;  30 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   20 (  19 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   52 (  24 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_24,axiom,
    l0(c),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).

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

cnf(rule_205,axiom,
    ( k3(X,X,X)
    | ~ p2(Y,X,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_205) ).

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

cnf(rule_242,axiom,
    ( p3(X,Y,Z)
    | ~ r2(Y)
    | ~ k3(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_242) ).

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_277,axiom,
    ( l4(X)
    | ~ p3(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_277) ).

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_329,axiom,
    ( s5(X)
    | ~ l4(X)
    | ~ r4(Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_329) ).

cnf(prove_this,negated_conjecture,
    ~ s5(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(418,plain,
    p1(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_085,axiom_14]) ).

cnf(420,plain,
    q2(X,X,X),
    inference('REWRITE',[status(thm)],[rule_181,418]) ).

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(450,plain,
    n3(X),
    inference('HYPERRESOLVE',[status(thm)],[rule_240,447]) ).

cnf(454,plain,
    ( r4(X)
    | ~ q3(Y,Z)
    | ~ p0(U,X) ),
    inference('REWRITE',[status(thm)],[rule_298,450]) ).

cnf(457,plain,
    k3(X,X,X),
    inference('HYPERRESOLVE',[status(thm)],[rule_205,447]) ).

cnf(491,plain,
    q3(e,e),
    inference('HYPERRESOLVE',[status(thm)],[rule_255,420,axiom_30]) ).

cnf(573,plain,
    r4(X),
    inference('HYPERRESOLVE',[status(thm)],[454,491,axiom_14]) ).

cnf(574,plain,
    ( s5(X)
    | ~ l4(X) ),
    inference('REWRITE',[status(thm)],[rule_329,573]) ).

cnf(577,plain,
    ~ l4(c),
    inference('UR-RESOLVE',[status(thm)],[574,prove_this]) ).

cnf(578,plain,
    ~ p3(X,Y,c),
    inference('UR-RESOLVE',[status(thm)],[rule_277,577]) ).

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(647,plain,
    r2(c),
    inference('HYPERRESOLVE',[status(thm)],[642,axiom_24]) ).

cnf(664,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule_242,457,647]),578]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN214-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 12:57:44 EDT 2022
% 0.12/0.34  % 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 2022-07-11T12:57:45
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-11T12:57:45
% 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.
% 0.20/0.55  WARNING:
% 0.20/0.55     |r5| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.64  
% 0.48/0.64  
% 0.48/0.64  #||
% 0.48/0.64  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.64  % SZS output start Refutation
% See solution above
% 0.48/0.64  ||#
% 0.48/0.64  
% 0.48/0.64  ; Summary of computation:
% 0.48/0.64  ;      1506 formulas have been input or derived (from 347 formulas).
% 0.48/0.64  ;       664 (44%) were retained.  Of these,
% 0.48/0.64  ;          351 (53%) were simplified or subsumed later,
% 0.48/0.64  ;          313 (47%) are still being kept.
% 0.48/0.64  ; 
% 0.48/0.64  ; Run time in seconds excluding printing time:
% 0.48/0.64  ;     0.063  37%   Read assertion file          (1 call)
% 0.48/0.64  ;     0.010   6%   Assert                       (369 calls)
% 0.48/0.64  ;     0.030  18%   Process new row              (1,258 calls)
% 0.48/0.64  ;     0.014   8%   Resolution                   (692 calls)
% 0.48/0.64  ;     0.000   0%   Paramodulation               (346 calls)
% 0.48/0.64  ;     0.004   2%   Condensing                   (355 calls)
% 0.48/0.64  ;     0.002   1%   Forward subsumption          (355 calls)
% 0.48/0.64  ;     0.006   4%   Backward subsumption         (341 calls)
% 0.48/0.64  ;     0.000   0%   Clause clause subsumption    (170 calls)
% 0.48/0.64  ;     0.008   5%   Forward simplification       (1,193 calls)
% 0.48/0.64  ;     0.007   4%   Backward simplification      (617 calls)
% 0.48/0.64  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.48/0.64  ;     0.001   1%   Purity testing               (1 call)
% 0.48/0.64  ;     0.025  15%   Other
% 0.48/0.64  ;     0.170        Total
% 0.48/0.64  ;     0.173        Real time
% 0.48/0.64  ; 
% 0.48/0.64  ; Term-hash-array has 696 terms in all.
% 0.48/0.64  ; Feature-vector-row-index has 123 entries (273 at peak, 341 added, 218 deleted).
% 0.48/0.64  ; Feature-vector-row-index has 438 nodes (936 at peak, 1,184 added, 746 deleted).
% 0.48/0.64  ;  Retrieved 149 possibly forward subsuming rows in 355 calls.
% 0.48/0.64  ;  Retrieved 160 possibly backward subsumed rows in 341 calls.
% 0.48/0.64  ; Path-index has 457 entries (528 at peak, 797 added, 340 deleted).
% 0.48/0.64  ; Path-index has 451 nodes (464 at peak, 591 added, 140 deleted).
% 0.48/0.64  ; Trie-index has 457 entries (528 at peak, 797 added, 340 deleted).
% 0.48/0.64  ; Trie-index has 622 nodes (638 at peak, 1,009 added, 387 deleted).
% 0.48/0.64  ; Retrieved 809 generalization terms in 1,287 calls.
% 0.48/0.64  ; Retrieved 641 instance terms in 275 calls.
% 0.48/0.64  ; Retrieved 12,477 unifiable terms in 2,760 calls.
% 0.48/0.64  ; 
% 0.48/0.64  ; The agenda of rows to process has 10 entries:
% 0.48/0.64  ;    10 with value 7
% 0.48/0.64  ; The agenda of input rows to give has 1 entry:
% 0.48/0.64  ;     1 with value 6
% 0.48/0.64  ; The agenda of rows to give has 101 entries:
% 0.48/0.64  ;    45 with value (4 6)          54 with value (4 7)            2 with value (4 8)
% 0.48/0.64  Evaluation took:
% 0.48/0.64    0.173 seconds of real time
% 0.48/0.64    0.157591 seconds of user run time
% 0.48/0.64    0.015702 seconds of system run time
% 0.48/0.64    0 calls to %EVAL
% 0.48/0.64    0 page faults and
% 0.48/0.64    11,493,200 bytes consed.
% 0.48/0.64  :PROOF-FOUND
% 0.48/0.64  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T12:57:45
% 0.48/0.64  :PROOF-FOUND
% 0.48/0.64  * 
%------------------------------------------------------------------------------