TSTP Solution File: GRP404-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP404-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 : Sat Jul 16 11:38:07 EDT 2022

% Result   : Unsatisfiable 5.22s 5.45s
% Output   : Refutation 5.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   74 (  74 unt;   0 nHn;   7 RR)
%            Number of literals    :   74 (  73 equ;   6 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   11 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :  250 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),inverse(multiply(Y,multiply(inverse(Y),Y)))))) = Z,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

cnf(prove_these_axioms_2,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).

cnf(3,plain,
    multiply(X,inverse(multiply(inverse(Y),inverse(multiply(Z,multiply(inverse(Z),Z)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Z)),U)),Y)),inverse(multiply(U,multiply(inverse(U),U))))),
    inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).

cnf(5,plain,
    multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(inverse(Z),inverse(multiply(Y,multiply(inverse(Y),Y))))))) = Z,
    inference('PARAMODULATE',[status(thm)],[single_axiom,3,theory(equality)]) ).

cnf(6,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),multiply(inverse(multiply(X,Y)),U))),inverse(multiply(Z,multiply(inverse(Z),Z))))) = U,
    inference('PARAMODULATE',[status(thm)],[single_axiom,3,theory(equality)]) ).

cnf(35,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),inverse(multiply(Y,multiply(inverse(Y),Y))))) = Z,
    inference('PARAMODULATE',[status(thm)],[6,6,theory(equality)]) ).

cnf(36,plain,
    multiply(inverse(multiply(X,Y)),multiply(X,Z)) = multiply(inverse(multiply(U,Y)),multiply(U,Z)),
    inference('PARAMODULATE',[status(thm)],[5,35,theory(equality)]) ).

cnf(37,plain,
    multiply(inverse(multiply(X,Y)),inverse(multiply(Z,inverse(multiply(multiply(X,Z),multiply(inverse(multiply(X,Z)),multiply(X,Z))))))) = inverse(multiply(Y,multiply(inverse(Y),Y))),
    inference('PARAMODULATE',[status(thm)],[single_axiom,35,theory(equality)]) ).

cnf(59,plain,
    multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),multiply(inverse(multiply(U,Y)),V)) = multiply(inverse(multiply(W,multiply(U,Z))),multiply(W,V)),
    inference('PARAMODULATE',[status(thm)],[36,36,theory(equality)]) ).

cnf(62,plain,
    multiply(X,multiply(inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,X))),U)) = multiply(inverse(multiply(V,inverse(multiply(Z,multiply(inverse(Z),Z))))),multiply(V,U)),
    inference('PARAMODULATE',[status(thm)],[36,35,theory(equality)]) ).

cnf(330,plain,
    multiply(X,multiply(inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,X))),U)) = multiply(V,multiply(inverse(multiply(inverse(multiply(W,Z)),multiply(W,V))),U)),
    inference('PARAMODULATE',[status(thm)],[62,62,theory(equality)]) ).

cnf(499,plain,
    multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(Z)))),inverse(multiply(Y,multiply(inverse(Y),Y)))) = Z,
    inference('PARAMODULATE',[status(thm)],[5,37,theory(equality)]) ).

cnf(501,plain,
    multiply(inverse(X),X) = multiply(Y,multiply(inverse(multiply(inverse(multiply(Z,U)),multiply(Z,Y))),inverse(multiply(U,multiply(inverse(U),U))))),
    inference('PARAMODULATE',[status(thm)],[330,499,theory(equality)]) ).

cnf(546,plain,
    multiply(inverse(X),X) = multiply(inverse(Y),Y),
    inference('PARAMODULATE',[status(thm)],[501,501,theory(equality)]) ).

cnf(651,plain,
    X = inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(X,multiply(inverse(X),X))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,501,theory(equality)]),single_axiom,499,theory(equality)]) ).

cnf(684,plain,
    multiply(multiply(inverse(X),X),a2) != a2,
    inference('PARAMODULATE',[status(thm)],[prove_these_axioms_2,546,theory(equality)]) ).

cnf(685,plain,
    multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Z)) = multiply(inverse(multiply(U,Y)),multiply(U,Z)),
    inference('PARAMODULATE',[status(thm)],[36,546,theory(equality)]) ).

cnf(686,plain,
    multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(Z),Z)) = multiply(inverse(multiply(U,Y)),multiply(U,X)),
    inference('PARAMODULATE',[status(thm)],[36,546,theory(equality)]) ).

cnf(687,plain,
    multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),multiply(inverse(inverse(Y)),inverse(Y))))) = Y,
    inference('PARAMODULATE',[status(thm)],[499,546,theory(equality)]) ).

cnf(689,plain,
    multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(inverse(Z),Z)))) = inverse(multiply(Y,multiply(inverse(Y),Y))),
    inference('PARAMODULATE',[status(thm)],[5,546,theory(equality)]) ).

cnf(690,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),inverse(multiply(Y,multiply(inverse(U),U))))) = Z,
    inference('PARAMODULATE',[status(thm)],[35,546,theory(equality)]) ).

cnf(692,plain,
    multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),inverse(multiply(Y,multiply(inverse(U),U)))))) = Z,
    inference('PARAMODULATE',[status(thm)],[single_axiom,546,theory(equality)]) ).

cnf(718,plain,
    X = inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(X,multiply(inverse(Z),Z))))),
    inference('PARAMODULATE',[status(thm)],[651,546,theory(equality)]) ).

cnf(719,plain,
    inverse(multiply(inverse(X),X)) = inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z)))),
    inference('PARAMODULATE',[status(thm)],[718,546,theory(equality)]) ).

cnf(722,plain,
    inverse(multiply(inverse(X),Y)) = inverse(multiply(inverse(multiply(inverse(Z),Z)),inverse(multiply(inverse(multiply(U,Y)),multiply(U,X))))),
    inference('PARAMODULATE',[status(thm)],[718,36,theory(equality)]) ).

cnf(727,plain,
    inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))) = inverse(multiply(inverse(multiply(U,Y)),multiply(U,Z))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[718,59,theory(equality)]),722,theory(equality)]) ).

cnf(739,plain,
    multiply(inverse(X),X) = multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Z),Z)),
    inference('PARAMODULATE',[status(thm)],[546,685,theory(equality)]) ).

cnf(741,plain,
    multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Z)) = multiply(inverse(multiply(inverse(U),U)),multiply(inverse(Y),Z)),
    inference('PARAMODULATE',[status(thm)],[685,685,theory(equality)]) ).

cnf(742,plain,
    multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Z)) = multiply(inverse(multiply(inverse(Z),Y)),multiply(inverse(U),U)),
    inference('PARAMODULATE',[status(thm)],[685,546,theory(equality)]) ).

cnf(745,plain,
    inverse(multiply(inverse(X),Y)) = inverse(multiply(inverse(multiply(inverse(Z),Z)),inverse(multiply(inverse(multiply(inverse(U),U)),multiply(inverse(Y),X))))),
    inference('PARAMODULATE',[status(thm)],[718,685,theory(equality)]) ).

cnf(820,plain,
    inverse(multiply(inverse(X),X)) = inverse(multiply(inverse(Y),Y)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[718,739,theory(equality)]),745,theory(equality)]) ).

cnf(964,plain,
    multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),multiply(inverse(Z),Z)))) = Y,
    inference('PARAMODULATE',[status(thm)],[687,546,theory(equality)]) ).

cnf(965,plain,
    multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y))) = multiply(inverse(Z),Z),
    inference('PARAMODULATE',[status(thm)],[964,739,theory(equality)]) ).

cnf(968,plain,
    multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(multiply(inverse(Y),Y)),multiply(inverse(Z),U)))) = multiply(inverse(U),Z),
    inference('PARAMODULATE',[status(thm)],[964,685,theory(equality)]) ).

cnf(992,plain,
    multiply(multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),Y))),a2) != a2,
    inference('PARAMODULATE',[status(thm)],[684,965,theory(equality)]) ).

cnf(1090,plain,
    multiply(inverse(inverse(multiply(inverse(X),X))),multiply(inverse(Y),Y)) = multiply(inverse(Z),Z),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[965,719,theory(equality)]),968,theory(equality)]) ).

cnf(1169,plain,
    multiply(inverse(multiply(inverse(X),X)),a2) != a2,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[992,1090,theory(equality)]),964,theory(equality)]) ).

cnf(1170,plain,
    inverse(multiply(inverse(X),X)) = multiply(inverse(Y),Y),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[965,1090,theory(equality)]),964,theory(equality)]) ).

cnf(1184,plain,
    inverse(multiply(inverse(X),X)) = inverse(inverse(multiply(inverse(Y),Y))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[719,1090,theory(equality)]),964,theory(equality)]) ).

cnf(1247,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y))),a2) != a2,
    inference('PARAMODULATE',[status(thm)],[1169,820,theory(equality)]) ).

cnf(1261,plain,
    inverse(multiply(multiply(inverse(X),X),multiply(inverse(Y),Y))) = multiply(inverse(Z),Z),
    inference('PARAMODULATE',[status(thm)],[1170,1170,theory(equality)]) ).

cnf(1266,plain,
    multiply(multiply(inverse(X),X),multiply(inverse(Y),Z)) = multiply(inverse(multiply(U,Y)),multiply(U,Z)),
    inference('PARAMODULATE',[status(thm)],[685,1170,theory(equality)]) ).

cnf(1267,plain,
    X = inverse(multiply(multiply(inverse(Y),Y),inverse(multiply(X,multiply(inverse(Z),Z))))),
    inference('PARAMODULATE',[status(thm)],[718,1170,theory(equality)]) ).

cnf(1356,plain,
    inverse(multiply(inverse(X),X)) = inverse(inverse(inverse(multiply(inverse(Y),Y)))),
    inference('PARAMODULATE',[status(thm)],[1184,1184,theory(equality)]) ).

cnf(2134,plain,
    multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(Y),inverse(multiply(multiply(inverse(Z),Z),multiply(inverse(U),U)))))) = Y,
    inference('PARAMODULATE',[status(thm)],[964,1261,theory(equality)]) ).

cnf(2390,plain,
    multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(inverse(Z),Z)))) = inverse(multiply(Y,multiply(inverse(U),U))),
    inference('PARAMODULATE',[status(thm)],[689,546,theory(equality)]) ).

cnf(3783,plain,
    multiply(inverse(multiply(inverse(X),X)),Y) = multiply(inverse(multiply(inverse(Z),Z)),Y),
    inference('PARAMODULATE',[status(thm)],[741,964,theory(equality)]) ).

cnf(3784,plain,
    multiply(multiply(inverse(X),X),Y) = multiply(inverse(multiply(inverse(Z),Z)),Y),
    inference('PARAMODULATE',[status(thm)],[3783,1170,theory(equality)]) ).

cnf(3785,plain,
    multiply(inverse(inverse(multiply(inverse(X),X))),Y) = multiply(inverse(multiply(inverse(Z),Z)),Y),
    inference('PARAMODULATE',[status(thm)],[3783,1170,theory(equality)]) ).

cnf(3835,plain,
    multiply(multiply(inverse(X),X),Y) = multiply(inverse(inverse(multiply(inverse(Z),Z))),Y),
    inference('PARAMODULATE',[status(thm)],[3784,1170,theory(equality)]) ).

cnf(4036,plain,
    multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X),X)))),multiply(inverse(Y),Y))),multiply(inverse(Z),U)) = multiply(inverse(multiply(inverse(U),Z)),multiply(inverse(V),V)),
    inference('PARAMODULATE',[status(thm)],[742,1356,theory(equality)]) ).

cnf(4576,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X),X)))),multiply(inverse(Y),Y))),multiply(inverse(Z),Z))),a2) != a2,
    inference('PARAMODULATE',[status(thm)],[1247,1356,theory(equality)]) ).

cnf(4740,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),multiply(inverse(multiply(U,Y)),multiply(U,Z))),multiply(inverse(V),W)) = multiply(inverse(multiply(X1,V)),multiply(X1,W)),
    inference('PARAMODULATE',[status(thm)],[1266,727,theory(equality)]) ).

cnf(4907,plain,
    inverse(multiply(inverse(multiply(X,multiply(multiply(inverse(Y),Y),Z))),inverse(multiply(inverse(multiply(X,multiply(inverse(U),U))),multiply(inverse(V),V))))) = Z,
    inference('PARAMODULATE',[status(thm)],[690,1267,theory(equality)]) ).

cnf(4954,plain,
    X = inverse(multiply(multiply(inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,U))),multiply(inverse(multiply(V,Z)),multiply(V,U))),inverse(multiply(X,multiply(inverse(W),W))))),
    inference('PARAMODULATE',[status(thm)],[1267,727,theory(equality)]) ).

cnf(6408,plain,
    inverse(multiply(X,multiply(inverse(Y),Y))) = inverse(multiply(X,multiply(inverse(Z),Z))),
    inference('PARAMODULATE',[status(thm)],[2390,2390,theory(equality)]) ).

cnf(6433,plain,
    X = inverse(multiply(multiply(inverse(Y),Y),multiply(inverse(multiply(Z,X)),multiply(Z,inverse(multiply(inverse(U),U)))))),
    inference('PARAMODULATE',[status(thm)],[1267,2390,theory(equality)]) ).

cnf(6527,plain,
    multiply(inverse(inverse(multiply(X,multiply(inverse(Y),Y)))),multiply(inverse(Z),Z)) = multiply(inverse(multiply(U,multiply(V,inverse(multiply(inverse(W),W))))),multiply(U,multiply(V,X))),
    inference('PARAMODULATE',[status(thm)],[686,2390,theory(equality)]) ).

cnf(6831,plain,
    inverse(multiply(X,inverse(multiply(inverse(Y),Y)))) = inverse(multiply(X,multiply(inverse(Z),Z))),
    inference('PARAMODULATE',[status(thm)],[6408,1170,theory(equality)]) ).

cnf(7183,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),multiply(inverse(multiply(U,Y)),multiply(U,Z))),V) = multiply(inverse(inverse(multiply(inverse(W),W))),V),
    inference('PARAMODULATE',[status(thm)],[3835,727,theory(equality)]) ).

cnf(7465,plain,
    multiply(inverse(inverse(multiply(inverse(X),X))),Y) = multiply(inverse(multiply(inverse(multiply(Z,multiply(inverse(U),U))),multiply(Z,inverse(multiply(inverse(V),V))))),Y),
    inference('PARAMODULATE',[status(thm)],[3785,6831,theory(equality)]) ).

cnf(7651,plain,
    multiply(inverse(multiply(inverse(X),X)),inverse(multiply(inverse(multiply(Y,Z)),inverse(multiply(inverse(multiply(Y,multiply(inverse(U),U))),multiply(inverse(V),V)))))) = Z,
    inference('PARAMODULATE',[status(thm)],[692,718,theory(equality)]) ).

cnf(7658,plain,
    multiply(inverse(multiply(inverse(X),X)),Y) = Y,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[692,739,theory(equality)]),2134,theory(equality)]) ).

cnf(7659,plain,
    inverse(multiply(inverse(multiply(X,Y)),inverse(multiply(inverse(multiply(X,multiply(inverse(Z),Z))),multiply(inverse(U),U))))) = Y,
    inference('REWRITE',[status(thm)],[7651,7658,theory(equality)]) ).

cnf(7660,plain,
    multiply(multiply(inverse(X),X),Y) = Y,
    inference('REWRITE',[status(thm)],[4907,7659,theory(equality)]) ).

cnf(7680,plain,
    X = inverse(multiply(inverse(multiply(Y,X)),multiply(Y,inverse(multiply(inverse(Z),Z))))),
    inference('REWRITE',[status(thm)],[6433,7660,theory(equality)]) ).

cnf(7681,plain,
    multiply(inverse(inverse(multiply(inverse(X),X))),Y) = Y,
    inference('REWRITE',[status(thm)],[7465,7660,7680,theory(equality)]) ).

cnf(7683,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),multiply(inverse(multiply(U,Y)),multiply(U,Z))),V) = V,
    inference('REWRITE',[status(thm)],[7183,7681,theory(equality)]) ).

cnf(7684,plain,
    X = inverse(inverse(multiply(X,multiply(inverse(Y),Y)))),
    inference('REWRITE',[status(thm)],[4954,7683,theory(equality)]) ).

cnf(7701,plain,
    multiply(X,multiply(inverse(Y),Y)) = multiply(inverse(multiply(Z,multiply(U,inverse(multiply(inverse(V),V))))),multiply(Z,multiply(U,X))),
    inference('REWRITE',[status(thm)],[6527,7684,theory(equality)]) ).

cnf(7729,plain,
    multiply(inverse(X),Y) = multiply(inverse(multiply(Z,X)),multiply(Z,Y)),
    inference('REWRITE',[status(thm)],[4740,7683,theory(equality)]) ).

cnf(7742,plain,
    multiply(X,multiply(inverse(Y),Y)) = X,
    inference('REWRITE',[status(thm)],[7701,7681,7729,theory(equality)]) ).

cnf(7753,plain,
    multiply(inverse(inverse(inverse(inverse(multiply(inverse(X),X))))),multiply(inverse(Y),Z)) = inverse(multiply(inverse(Z),Y)),
    inference('REWRITE',[status(thm)],[4036,7742,theory(equality)]) ).

cnf(7754,plain,
    $false,
    inference('REWRITE',[status(thm)],[4576,7681,7753,7742,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GRP404-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.15/0.37  % Computer : n024.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Tue Jun 14 01:44:48 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.23/0.50  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.51  * 
% 0.23/0.51  * 
% 0.23/0.52  #<PACKAGE "SNARK-USER">
% 0.23/0.52  * 
% 0.23/0.52  SNARK-TPTP-OPTIONS
% 0.23/0.52  * 
% 0.23/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.52   (USE-FACTORING :POS)
% 0.23/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.52  * 
% 0.23/0.52  "."
% 0.23/0.52  * 
% 0.23/0.52  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T01:44:48
% 0.23/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-14T01:44:48
% 5.22/5.45  
% 5.22/5.45  
% 5.22/5.45  #||
% 5.22/5.45  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.22/5.45  % SZS output start Refutation
% See solution above
% 5.30/5.46  ||#
% 5.30/5.46  
% 5.30/5.46  ; Summary of computation:
% 5.30/5.46  ;     30495 formulas have been input or derived (from 87 formulas).
% 5.30/5.46  ;      7754 (25%) were retained.  Of these,
% 5.30/5.46  ;         7604 (98%) were simplified or subsumed later,
% 5.30/5.46  ;          150 ( 2%) are still being kept.
% 5.30/5.46  ; 
% 5.30/5.46  ; Run time in seconds excluding printing time:
% 5.30/5.46  ;     0.002   0%   Read assertion file          (1 call)
% 5.30/5.46  ;     0.000   0%   Assert                       (2 calls)
% 5.30/5.46  ;     1.236  25%   Process new row              (22,663 calls)
% 5.30/5.46  ;     0.022   0%   Resolution                   (172 calls)
% 5.30/5.46  ;     0.610  12%   Paramodulation               (86 calls)
% 5.30/5.46  ;     1.604  33%   Forward simplification       (20,896 calls)
% 5.30/5.46  ;     1.280  26%   Backward simplification      (7,754 calls)
% 5.30/5.46  ;     0.090   2%   Ordering                     (37,814 calls)
% 5.30/5.46  ;     0.000   0%   Sortal reasoning             (32 calls)
% 5.30/5.46  ;     0.000   0%   Purity testing               (1 call)
% 5.30/5.46  ;     0.084   2%   Other
% 5.30/5.46  ;     4.928        Total
% 5.30/5.46  ;     4.935        Real time
% 5.30/5.46  ; 
% 5.30/5.46  ; Term-hash-array has 20,765 terms in all.
% 5.30/5.46  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 5.30/5.46  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 5.30/5.46  ; Path-index has 342 entries (19,398 at peak, 20,947 added, 20,605 deleted).
% 5.30/5.46  ; Path-index has 12,689 nodes (18,278 at peak, 19,178 added, 6,489 deleted).
% 5.30/5.46  ; Trie-index has 342 entries (19,398 at peak, 20,947 added, 20,605 deleted).
% 5.30/5.46  ; Trie-index has 2,132 nodes (135,059 at peak, 147,520 added, 145,388 deleted).
% 5.30/5.46  ; Retrieved 41,970 generalization terms in 190,051 calls.
% 5.30/5.46  ; Retrieved 33,435 instance terms in 7,820 calls.
% 5.30/5.46  ; Retrieved 250,354 unifiable terms in 1,047 calls.
% 5.30/5.46  ; 
% 5.30/5.46  ; The agenda of backward simplifiable rows to process has 7075 entries:
% 5.30/5.46  ;  7075 with value 0
% 5.30/5.46  ; The agenda of rows to process has 305 entries:
% 5.30/5.46  ;    29 with value 48             23 with value 54               5 with value 59
% 5.30/5.46  ;    19 with value 49             22 with value 55               4 with value 60
% 5.30/5.46  ;    25 with value 50             27 with value 56               8 with value 61
% 5.30/5.46  ;    27 with value 51             14 with value 57               5 with value 62
% 5.30/5.46  ;    39 with value 52             14 with value 58               6 with value 63
% 5.30/5.46  ;    38 with value 53
% 5.30/5.46  ; The agenda of rows to give has 134 entries:
% 5.30/5.46  ;     1 with value (4 23)         10 with value (4 40)          11 with value (4 48)
% 5.30/5.46  ;     1 with value (4 25)          5 with value (4 41)          10 with value (4 49)
% 5.30/5.46  ;     1 with value (4 27)          8 with value (4 42)          11 with value (4 50)
% 5.30/5.46  ;     1 with value (4 31)         12 with value (4 43)           7 with value (4 51)
% 5.30/5.46  ;     1 with value (4 32)         10 with value (4 44)           1 with value (4 52)
% 5.30/5.46  ;     2 with value (4 37)         12 with value (4 45)           1 with value (4 53)
% 5.30/5.46  ;     6 with value (4 38)          8 with value (4 46)           1 with value (4 54)
% 5.30/5.46  ;     4 with value (4 39)         10 with value (4 47)
% 5.30/5.46  Evaluation took:
% 5.30/5.46    4.936 seconds of real time
% 5.30/5.46    4.583214 seconds of user run time
% 5.30/5.46    0.352832 seconds of system run time
% 5.30/5.46    [Run times include 0.854 seconds GC run time.]
% 5.30/5.46    0 calls to %EVAL
% 5.30/5.46    0 page faults and
% 5.30/5.46    311,429,952 bytes consed.
% 5.30/5.46  :PROOF-FOUND
% 5.30/5.46  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T01:44:53
% 5.30/5.46  :PROOF-FOUND
% 5.30/5.46  * 
%------------------------------------------------------------------------------