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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% 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  : 300s
% DateTime : Sun Apr  6 10:09:22 AM UTC 2025

% Result   : Theorem 108.16s 108.37s
% Output   : Refutation 108.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   34 (  26 unt;   0 typ;   0 def)
%            Number of atoms       :  130 (  33 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   49 (  26   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   73 (  73 fml;   0 var)
%            Number arithmetic     :   12 (   6 atm;   0 fun;   3 num;   3 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   26 (  23 usr;  13 prp; 0-3 aty)
%            Number of functors    :    1 (   0 usr;   1 con; 0-0 aty)
%            Number of variables   :   31 (   0 sgn  31   !;   0   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
tff(54,axiom,
    ! [X: general,Y: general,Z: general,U: general,V: general,W: general,X1: general,Y1: general] :
      ( in_building(X,Y)
      | ( X != Z )
      | ( Y != U )
      | ( V != Z )
      | ( W != X1 )
      | ( Y1 != U )
      | ~ in(V,W,Y1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_4_completed_definition_of_in_building_2) ).

tff(55,axiom,
    ! [X: general,Y: general] :
      ( ~ in_building_p(X,Y)
      | ( X = 'SKOLEMAAAW15.general'(X,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_building_2) ).

tff(56,axiom,
    ! [X: general,Y: general] :
      ( ~ in_building_p(X,Y)
      | ( Y = 'SKOLEMAAAW16.general'(X,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_building_2) ).

tff(57,axiom,
    ! [X: general,Y: general] :
      ( ~ in_building_p(X,Y)
      | ( 'SKOLEMAAAW18.general'(X,Y) = 'SKOLEMAAAW15.general'(X,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_building_2) ).

tff(58,axiom,
    ! [X: general,Y: general] :
      ( ~ in_building_p(X,Y)
      | ( 'SKOLEMAAAW19.general'(X,Y) = 'SKOLEMAAAW17.general'(X,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_building_2) ).

tff(59,axiom,
    ! [X: general,Y: general] :
      ( ~ in_building_p(X,Y)
      | ( 'SKOLEMAAAW20.general'(X,Y) = 'SKOLEMAAAW16.general'(X,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_building_2) ).

tff(60,axiom,
    ! [X: general,Y: general] :
      ( ~ in_building_p(X,Y)
      | in('SKOLEMAAAW18.general'(X,Y),'SKOLEMAAAW19.general'(X,Y),'SKOLEMAAAW20.general'(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_building_2) ).

tff(63,axiom,
    ! [X: general,Y: general,Z: general,U: general,V: general,W: general,X1: $int,Y1: $int,Z1: general,U1: $int] :
      ( ( X != Y )
      | ( Z != U )
      | in_building_p(X,Z)
      | ( V != Y )
      | ~ person(V)
      | ( W != U )
      | ( X1 != 0 )
      | ( Y1 != h_i )
      | ( Z1 != f__integer__(U1) )
      | ~ $lesseq(X1,U1)
      | ~ $lesseq(U1,Y1)
      | ( W != Z1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_7_constraint_1) ).

tff(1093,negated_conjecture,
    'SKOLEMAAAW50.general' = 'SKOLEMAAAW48.general',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11_constraint_1) ).

tff(1094,negated_conjecture,
    'SKOLEMAAAW51.general' = 'SKOLEMAAAW49.general',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11_constraint_1) ).

tff(1095,negated_conjecture,
    ~ in_building('SKOLEMAAAW50.general','SKOLEMAAAW51.general'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11_constraint_1) ).

tff(1096,plain,
    ~ in_building('SKOLEMAAAW48.general','SKOLEMAAAW49.general'),
    inference('REWRITE',[status(thm)],[1095,1094,1093,theory(equality)]) ).

tff(1097,negated_conjecture,
    'SKOLEMAAAW52.general' = 'SKOLEMAAAW48.general',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11_constraint_1) ).

tff(1098,negated_conjecture,
    person('SKOLEMAAAW52.general'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11_constraint_1) ).

tff(1099,plain,
    person('SKOLEMAAAW48.general'),
    inference('REWRITE',[status(thm)],[1098,1097,theory(equality)]) ).

tff(1100,negated_conjecture,
    'SKOLEMAAAW53.general' = 'SKOLEMAAAW49.general',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11_constraint_1) ).

tff(1101,negated_conjecture,
    'SKOLEMAAAW55.$int' = 0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11_constraint_1) ).

tff(1102,negated_conjecture,
    'SKOLEMAAAW56.$int' = h_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11_constraint_1) ).

tff(1103,negated_conjecture,
    'SKOLEMAAAW54.general' = f__integer__('SKOLEMAAAW57.$int'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11_constraint_1) ).

tff(1104,negated_conjecture,
    $lesseq('SKOLEMAAAW55.$int','SKOLEMAAAW57.$int'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11_constraint_1) ).

tff(1105,plain,
    $lesseq(0,'SKOLEMAAAW57.$int'),
    inference('REWRITE',[status(thm)],[1104,1101,theory(equality)]) ).

tff(1106,negated_conjecture,
    $lesseq('SKOLEMAAAW57.$int','SKOLEMAAAW56.$int'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11_constraint_1) ).

tff(1107,plain,
    $lesseq('SKOLEMAAAW57.$int',h_i),
    inference('REWRITE',[status(thm)],[1106,1102,theory(equality)]) ).

tff(1108,negated_conjecture,
    'SKOLEMAAAW53.general' = 'SKOLEMAAAW54.general',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11_constraint_1) ).

tff(1109,plain,
    'SKOLEMAAAW49.general' = 'SKOLEMAAAW54.general',
    inference('REWRITE',[status(thm)],[1108,1100,theory(equality)]) ).

tff(1110,plain,
    'SKOLEMAAAW49.general' = f__integer__('SKOLEMAAAW57.$int'),
    inference('REWRITE',[status(thm)],[1103,1109,theory(equality)]) ).

tff(1143,plain,
    ! [X: general] : ~ in('SKOLEMAAAW48.general',X,'SKOLEMAAAW49.general'),
    inference('UR-RESOLVE',[status(thm)],[54,1096,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]) ).

tff(1144,plain,
    in_building_p('SKOLEMAAAW48.general','SKOLEMAAAW49.general'),
    inference('HYPERRESOLVE',[status(thm)],[63,1099,1105,1107,1110,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]) ).

tff(1153,plain,
    'SKOLEMAAAW49.general' = 'SKOLEMAAAW16.general'('SKOLEMAAAW48.general','SKOLEMAAAW49.general'),
    inference('HYPERRESOLVE',[status(thm)],[56,1144]) ).

tff(1154,plain,
    'SKOLEMAAAW48.general' = 'SKOLEMAAAW15.general'('SKOLEMAAAW48.general','SKOLEMAAAW49.general'),
    inference('HYPERRESOLVE',[status(thm)],[55,1144]) ).

tff(1155,plain,
    'SKOLEMAAAW20.general'('SKOLEMAAAW48.general','SKOLEMAAAW49.general') = 'SKOLEMAAAW49.general',
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[59,1144]),1153,theory(equality)]) ).

tff(1156,plain,
    'SKOLEMAAAW19.general'('SKOLEMAAAW48.general','SKOLEMAAAW49.general') = 'SKOLEMAAAW17.general'('SKOLEMAAAW48.general','SKOLEMAAAW49.general'),
    inference('HYPERRESOLVE',[status(thm)],[58,1144]) ).

tff(1157,plain,
    'SKOLEMAAAW18.general'('SKOLEMAAAW48.general','SKOLEMAAAW49.general') = 'SKOLEMAAAW48.general',
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[57,1144]),1154,theory(equality)]) ).

cnf(1158,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[60,1144]),1143,1155,1156,1157,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Apr  6 03:00:32 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48  * 
% 0.19/0.48  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2025-04-06T03:00:32
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2025-04-06T03:00:32
% 0.19/0.51  WARNING: In quantification, variable ?I_i is being rebound.
% 0.19/0.51  WARNING: In quantification, variable ?I_i is being rebound.
% 108.16/108.37  
% 108.16/108.37  
% 108.16/108.37  #||
% 108.16/108.37  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 108.16/108.37  % SZS output start Refutation
% See solution above
% 108.16/108.37  ||#
% 108.16/108.37  
% 108.16/108.37  ; Summary of computation:
% 108.16/108.37  ;     14181 formulas have been input or derived (from 1061 formulas).
% 108.16/108.37  ;      1158 ( 8%) were retained.  Of these,
% 108.16/108.37  ;           60 ( 5%) were simplified or subsumed later,
% 108.16/108.37  ;         1098 (95%) are still being kept.
% 108.16/108.37  ; 
% 108.16/108.37  ; Run time in seconds excluding printing time:
% 108.16/108.37  ;     0.016   0%   Read assertion file          (1 call)
% 108.16/108.37  ;     0.030   0%   Assert                       (27 calls)
% 108.16/108.37  ;     0.083   0%   Process new row              (10,224 calls)
% 108.16/108.37  ;   106.940  99%   Resolution                   (2,120 calls)
% 108.16/108.37  ;     0.004   0%   Paramodulation               (1,060 calls)
% 108.16/108.37  ;     0.000   0%   Factoring                    (6 calls)
% 108.16/108.37  ;     0.039   0%   Condensing                   (1,104 calls)
% 108.16/108.37  ;     0.037   0%   Forward subsumption          (1,104 calls)
% 108.16/108.37  ;     0.032   0%   Backward subsumption         (1,045 calls)
% 108.16/108.37  ;     0.008   0%   Clause clause subsumption    (856 calls)
% 108.16/108.37  ;     0.095   0%   Forward simplification       (10,224 calls)
% 108.16/108.37  ;     0.000   0%   Backward simplification      (1,099 calls)
% 108.16/108.37  ;     0.002   0%   Ordering                     (2,638 calls)
% 108.16/108.37  ;     0.544   1%   Sortal reasoning             (732,300 calls)
% 108.16/108.37  ;     0.004   0%   Purity testing               (1 call)
% 108.16/108.37  ;     0.042   0%   Other
% 108.16/108.37  ;   107.876        Total
% 108.16/108.37  ;   107.885        Real time
% 108.16/108.37  ; 
% 108.16/108.37  ; Term-hash-array has 284 terms in all.
% 108.16/108.37  ; Feature-vector-row-index has 1,045 entries (1,045 at peak, 1,045 added, 0 deleted).
% 108.16/108.37  ; Feature-vector-row-index has 3,698 nodes (3,698 at peak, 3,698 added, 0 deleted).
% 108.16/108.37  ;  Retrieved 1,897 possibly forward subsuming rows in 1,104 calls.
% 108.16/108.37  ;  Retrieved 76 possibly backward subsumed rows in 1,045 calls.
% 108.16/108.37  ; Path-index has 299 entries (299 at peak, 301 added, 2 deleted).
% 108.16/108.37  ; Path-index has 1,070 nodes (1,070 at peak, 1,072 added, 2 deleted).
% 108.16/108.37  ; Trie-index has 299 entries (299 at peak, 301 added, 2 deleted).
% 108.16/108.37  ; Trie-index has 725 nodes (725 at peak, 729 added, 4 deleted).
% 108.16/108.37  ; Retrieved 20,819 generalization terms in 21,655 calls.
% 108.16/108.37  ; Retrieved 66 instance terms in 53 calls.
% 108.16/108.37  ; Retrieved 81,337,102 unifiable terms in 7,928,658 calls.
% 108.16/108.37  ; 
% 108.16/108.37  ; The agenda of rows to give has 37 entries:
% 108.16/108.37  ;     5 with value (4 6)           1 with value (4 10)           1 with value (4 15)
% 108.16/108.37  ;     9 with value (4 7)           4 with value (4 11)           1 with value (4 20)
% 108.16/108.37  ;     3 with value (4 8)           2 with value (4 12)           2 with value (4 48)
% 108.16/108.37  ;     5 with value (4 9)           4 with value (4 13)
% 108.16/108.37  Evaluation took:
% 108.16/108.37    107.885 seconds of real time
% 108.16/108.37    106.961136 seconds of user run time
% 108.16/108.37    0.917788 seconds of system run time
% 108.16/108.37    [Run times include 0.562 seconds GC run time.]
% 108.16/108.37    0 calls to %EVAL
% 108.16/108.37    0 page faults and
% 108.16/108.37    3,101,833,672 bytes consed.
% 108.16/108.37  :PROOF-FOUND
% 108.16/108.37  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2025-04-06T03:02:20
% 108.16/108.37  :PROOF-FOUND
% 108.16/108.37  * 
%------------------------------------------------------------------------------