TSTP Solution File: TOP034+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : TOP034+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 21:34:25 EDT 2022

% Result   : Theorem 0.65s 0.83s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   21 (  14 unt;   6 nHn;  21 RR)
%            Number of literals    :   63 (   0 equ;  33 neg)
%            Maximal clause size   :   11 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    ~ v3_struct_0('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).

cnf(2,negated_conjecture,
    v2_pre_topc('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).

cnf(3,negated_conjecture,
    l1_pre_topc('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).

cnf(4,negated_conjecture,
    ~ v3_struct_0('SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).

cnf(5,negated_conjecture,
    v2_tsp_2('SKOLEMAAAV2','SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).

cnf(6,negated_conjecture,
    m2_tsp_1('SKOLEMAAAV2','SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).

cnf(7,negated_conjecture,
    ~ r1_borsuk_1('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).

cnf(56,axiom,
    ( v3_struct_0(X)
    | ~ v2_pre_topc(X)
    | ~ l1_pre_topc(X)
    | v3_struct_0(Y)
    | ~ m1_pre_topc(Y,X)
    | r1_borsuk_1(X,Y)
    | ~ v1_funct_1(Z)
    | ~ v1_funct_2(Z,u1_struct_0(X),u1_struct_0(Y))
    | ~ v5_pre_topc(Z,X,Y)
    | ~ m2_relset_1(Z,u1_struct_0(X),u1_struct_0(Y))
    | ~ v3_borsuk_1(Z,X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_borsuk_1) ).

cnf(126,axiom,
    ( ~ l1_pre_topc(X)
    | ~ m2_tsp_1(Y,X)
    | m1_pre_topc(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).

cnf(130,axiom,
    ( v3_struct_0(X)
    | ~ v2_pre_topc(X)
    | ~ l1_pre_topc(X)
    | v3_struct_0(Y)
    | ~ v2_tsp_2(Y,X)
    | ~ m2_tsp_1(Y,X)
    | v1_funct_1('SKOLEMAAAV23'(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tsp_2) ).

cnf(131,axiom,
    ( v3_struct_0(X)
    | ~ v2_pre_topc(X)
    | ~ l1_pre_topc(X)
    | v3_struct_0(Y)
    | ~ v2_tsp_2(Y,X)
    | ~ m2_tsp_1(Y,X)
    | v1_funct_2('SKOLEMAAAV23'(X,Y),u1_struct_0(X),u1_struct_0(Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tsp_2) ).

cnf(132,axiom,
    ( v3_struct_0(X)
    | ~ v2_pre_topc(X)
    | ~ l1_pre_topc(X)
    | v3_struct_0(Y)
    | ~ v2_tsp_2(Y,X)
    | ~ m2_tsp_1(Y,X)
    | v5_pre_topc('SKOLEMAAAV23'(X,Y),X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tsp_2) ).

cnf(133,axiom,
    ( v3_struct_0(X)
    | ~ v2_pre_topc(X)
    | ~ l1_pre_topc(X)
    | v3_struct_0(Y)
    | ~ v2_tsp_2(Y,X)
    | ~ m2_tsp_1(Y,X)
    | m2_relset_1('SKOLEMAAAV23'(X,Y),u1_struct_0(X),u1_struct_0(Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tsp_2) ).

cnf(134,axiom,
    ( v3_struct_0(X)
    | ~ v2_pre_topc(X)
    | ~ l1_pre_topc(X)
    | v3_struct_0(Y)
    | ~ v2_tsp_2(Y,X)
    | ~ m2_tsp_1(Y,X)
    | v3_borsuk_1('SKOLEMAAAV23'(X,Y),X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tsp_2) ).

cnf(190,plain,
    m1_pre_topc('SKOLEMAAAV2','SKOLEMAAAV1'),
    inference('HYPERRESOLVE',[status(thm)],[126,3,6]) ).

cnf(245,plain,
    v1_funct_1('SKOLEMAAAV23'('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[130,1,2,3,4,5,6]) ).

cnf(246,plain,
    v5_pre_topc('SKOLEMAAAV23'('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[132,1,2,3,4,5,6]) ).

cnf(247,plain,
    v3_borsuk_1('SKOLEMAAAV23'('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[134,1,2,3,4,5,6]) ).

cnf(248,plain,
    v1_funct_2('SKOLEMAAAV23'('SKOLEMAAAV1','SKOLEMAAAV2'),u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[131,1,2,3,4,5,6]) ).

cnf(249,plain,
    m2_relset_1('SKOLEMAAAV23'('SKOLEMAAAV1','SKOLEMAAAV2'),u1_struct_0('SKOLEMAAAV1'),u1_struct_0('SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[133,1,2,3,4,5,6]) ).

cnf(2133,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[56,248,1,2,3,4,190,7,245,246,247]),249]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : TOP034+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n021.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 : Sun May 29 05:22:57 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T05:22:57
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-05-29T05:22:57
% 0.37/0.54  WARNING:
% 0.37/0.54     |v1_tsep_1| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.37/0.54  WARNING:
% 0.37/0.54     |v1_borsuk_1| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.37/0.54  WARNING:
% 0.37/0.54     |v2_tdlat_3| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.37/0.54  WARNING:
% 0.37/0.54     |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.54  WARNING:
% 0.37/0.54     |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.54  WARNING:
% 0.37/0.54     |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.54  WARNING:
% 0.37/0.54     |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.54  WARNING:
% 0.37/0.54     |v4_ordinal2| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.54  WARNING:
% 0.37/0.54     |v1_relat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.54  WARNING:
% 0.37/0.54     |v1_tex_3| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.54  WARNING:
% 0.37/0.54     |v4_tdlat_3| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.54  WARNING:
% 0.37/0.54     |v5_tdlat_3| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.54  WARNING:
% 0.37/0.54     |v3_tdlat_3| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.37/0.54  WARNING:
% 0.37/0.54     |v3_realset2| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.37/0.54  WARNING:
% 0.37/0.54     |v1_tdlat_3| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.65/0.83  
% 0.65/0.83  
% 0.65/0.83  #||
% 0.65/0.83  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/0.83  % SZS output start Refutation
% See solution above
% 0.65/0.83  ||#
% 0.65/0.83  
% 0.65/0.83  ; Summary of computation:
% 0.65/0.83  ;      4659 formulas have been input or derived (from 370 formulas).
% 0.65/0.83  ;      2133 (46%) were retained.  Of these,
% 0.65/0.83  ;          149 ( 7%) were simplified or subsumed later,
% 0.65/0.83  ;         1984 (93%) are still being kept.
% 0.65/0.83  ; 
% 0.65/0.83  ; Run time in seconds excluding printing time:
% 0.65/0.83  ;     0.026   8%   Read assertion file          (1 call)
% 0.65/0.83  ;     0.007   2%   Assert                       (95 calls)
% 0.65/0.83  ;     0.114  34%   Process new row              (4,304 calls)
% 0.65/0.83  ;     0.087  26%   Resolution                   (738 calls)
% 0.65/0.83  ;     0.000   0%   Paramodulation               (369 calls)
% 0.65/0.83  ;     0.000   0%   Factoring                    (5 calls)
% 0.65/0.83  ;     0.001   0%   Condensing                   (188 calls)
% 0.65/0.83  ;     0.007   2%   Forward subsumption          (188 calls)
% 0.65/0.83  ;     0.002   1%   Backward subsumption         (161 calls)
% 0.65/0.83  ;     0.000   0%   Clause clause subsumption    (35 calls)
% 0.65/0.83  ;     0.029   9%   Forward simplification       (4,189 calls)
% 0.65/0.83  ;     0.016   5%   Backward simplification      (2,133 calls)
% 0.65/0.83  ;     0.000   0%   Ordering                     (113 calls)
% 0.65/0.83  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.65/0.83  ;     0.003   1%   Purity testing               (1 call)
% 0.65/0.83  ;     0.042  13%   Other
% 0.65/0.83  ;     0.334        Total
% 0.65/0.83  ;     0.336        Real time
% 0.65/0.83  ; 
% 0.65/0.83  ; Term-hash-array has 3,702 terms in all.
% 0.65/0.83  ; Feature-vector-row-index has 155 entries (155 at peak, 161 added, 6 deleted).
% 0.65/0.83  ; Feature-vector-row-index has 616 nodes (616 at peak, 673 added, 57 deleted).
% 0.65/0.83  ;  Retrieved 37 possibly forward subsuming rows in 188 calls.
% 0.65/0.83  ;  Retrieved 8 possibly backward subsumed rows in 161 calls.
% 0.65/0.83  ; Path-index has 3,544 entries (3,549 at peak, 3,711 added, 167 deleted).
% 0.65/0.83  ; Path-index has 2,366 nodes (2,366 at peak, 2,533 added, 167 deleted).
% 0.65/0.83  ; Trie-index has 3,544 entries (3,549 at peak, 3,711 added, 167 deleted).
% 0.65/0.83  ; Trie-index has 8,007 nodes (8,007 at peak, 8,331 added, 324 deleted).
% 0.65/0.83  ; Retrieved 2,355 generalization terms in 4,929 calls.
% 0.65/0.83  ; Retrieved 1,993 instance terms in 1,971 calls.
% 0.65/0.83  ; Retrieved 81,766 unifiable terms in 17,768 calls.
% 0.65/0.83  ; 
% 0.65/0.83  ; The agenda of rows to give has 1668 entries:
% 0.65/0.83  ;   105 with value (4 11)        361 with value (4 15)           6 with value (4 19)
% 0.65/0.83  ;   109 with value (4 12)        361 with value (4 16)           3 with value (4 20)
% 0.65/0.83  ;   184 with value (4 13)        276 with value (4 17)           8 with value (4 21)
% 0.65/0.83  ;   175 with value (4 14)         76 with value (4 18)           4 with value (4 22)
% 0.65/0.83  Evaluation took:
% 0.65/0.83    0.337 seconds of real time
% 0.65/0.83    0.29922 seconds of user run time
% 0.65/0.83    0.038005 seconds of system run time
% 0.65/0.83    [Run times include 0.013 seconds GC run time.]
% 0.65/0.83    0 calls to %EVAL
% 0.65/0.83    0 page faults and
% 0.65/0.83    24,907,904 bytes consed.
% 0.65/0.83  :PROOF-FOUND
% 0.65/0.83  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T05:22:58
% 0.65/0.84  :PROOF-FOUND
% 0.65/0.84  * 
%------------------------------------------------------------------------------