TSTP Solution File: GRP687-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP687-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 11:40:20 EDT 2022

% Result   : Unsatisfiable 6.39s 6.60s
% Output   : Refutation 6.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   89 (  89 unt;   0 nHn;   9 RR)
%            Number of literals    :   89 (  88 equ;   8 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  163 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c01,axiom,
    mult(X,ld(X,Y)) = Y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).

cnf(c02,axiom,
    ld(X,mult(X,Y)) = Y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).

cnf(c03,axiom,
    mult(rd(X,Y),Y) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).

cnf(c04,axiom,
    rd(mult(X,Y),Y) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).

cnf(c05,axiom,
    mult(X,unit) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).

cnf(c07,axiom,
    mult(mult(X,X),mult(Y,Z)) = mult(mult(X,mult(X,Y)),Z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).

cnf(goals,negated_conjecture,
    mult(a,mult(b,mult(b,c))) != mult(mult(a,mult(b,b)),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(10,plain,
    ld(X,X) = unit,
    inference('PARAMODULATE',[status(thm)],[c02,c05,theory(equality)]) ).

cnf(12,plain,
    ld(rd(X,Y),X) = Y,
    inference('PARAMODULATE',[status(thm)],[c02,c03,theory(equality)]) ).

cnf(14,plain,
    rd(X,ld(Y,X)) = Y,
    inference('PARAMODULATE',[status(thm)],[c04,c01,theory(equality)]) ).

cnf(15,plain,
    mult(mult(X,X),Y) = mult(X,mult(X,Y)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[c05,c07,theory(equality)]),c05,theory(equality)]) ).

cnf(16,plain,
    mult(a,mult(mult(b,b),c)) != mult(mult(a,mult(b,b)),c),
    inference('REWRITE',[status(thm)],[goals,15,theory(equality)]) ).

cnf(17,plain,
    rd(mult(mult(X,X),mult(Y,Z)),Z) = mult(X,mult(X,Y)),
    inference('PARAMODULATE',[status(thm)],[c04,c07,theory(equality)]) ).

cnf(18,plain,
    ld(mult(X,mult(X,Y)),mult(mult(X,X),mult(Y,Z))) = Z,
    inference('PARAMODULATE',[status(thm)],[c02,c07,theory(equality)]) ).

cnf(19,plain,
    mult(mult(X,X),Y) = mult(mult(X,mult(X,Z)),ld(Z,Y)),
    inference('PARAMODULATE',[status(thm)],[c07,c01,theory(equality)]) ).

cnf(29,plain,
    mult(mult(X,X),ld(X,Y)) = mult(X,Y),
    inference('PARAMODULATE',[status(thm)],[15,c01,theory(equality)]) ).

cnf(33,plain,
    ld(X,mult(mult(X,X),Y)) = mult(X,Y),
    inference('PARAMODULATE',[status(thm)],[c02,15,theory(equality)]) ).

cnf(34,plain,
    mult(X,mult(X,mult(Y,Z))) = mult(mult(X,mult(X,Y)),Z),
    inference('PARAMODULATE',[status(thm)],[c07,15,theory(equality)]) ).

cnf(35,plain,
    mult(mult(X,X),mult(Y,Z)) = mult(mult(mult(X,X),Y),Z),
    inference('PARAMODULATE',[status(thm)],[c07,15,theory(equality)]) ).

cnf(45,plain,
    rd(mult(X,Y),ld(X,Y)) = mult(X,X),
    inference('PARAMODULATE',[status(thm)],[c04,29,theory(equality)]) ).

cnf(46,plain,
    ld(mult(X,X),mult(X,Y)) = ld(X,Y),
    inference('PARAMODULATE',[status(thm)],[c02,29,theory(equality)]) ).

cnf(69,plain,
    rd(X,ld(X,unit)) = mult(X,X),
    inference('PARAMODULATE',[status(thm)],[45,c05,theory(equality)]) ).

cnf(70,plain,
    rd(X,ld(Y,ld(Y,X))) = mult(Y,Y),
    inference('PARAMODULATE',[status(thm)],[45,c01,theory(equality)]) ).

cnf(77,plain,
    rd(rd(unit,X),X) = mult(rd(unit,X),rd(unit,X)),
    inference('PARAMODULATE',[status(thm)],[69,12,theory(equality)]) ).

cnf(78,plain,
    ld(mult(X,X),Y) = ld(X,ld(X,Y)),
    inference('PARAMODULATE',[status(thm)],[46,c01,theory(equality)]) ).

cnf(102,plain,
    rd(mult(mult(X,X),Y),Z) = mult(X,mult(X,rd(Y,Z))),
    inference('PARAMODULATE',[status(thm)],[17,c03,theory(equality)]) ).

cnf(113,plain,
    ld(mult(X,mult(X,Y)),mult(mult(X,X),Z)) = ld(Y,Z),
    inference('PARAMODULATE',[status(thm)],[18,c01,theory(equality)]) ).

cnf(206,plain,
    ld(X,mult(mult(mult(X,X),Y),Z)) = mult(X,mult(Y,Z)),
    inference('PARAMODULATE',[status(thm)],[33,35,theory(equality)]) ).

cnf(275,plain,
    rd(mult(X,Y),Z) = ld(X,mult(mult(mult(X,X),X),rd(ld(X,Y),Z))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[102,29,theory(equality)]),206,theory(equality)]) ).

cnf(320,plain,
    ld(X,mult(mult(mult(X,X),X),rd(ld(X,Y),Y))) = X,
    inference('REWRITE',[status(thm)],[c04,275,theory(equality)]) ).

cnf(321,plain,
    mult(X,X) = mult(mult(mult(X,X),X),rd(ld(X,Y),Y)),
    inference('PARAMODULATE',[status(thm)],[c01,320,theory(equality)]) ).

cnf(322,plain,
    mult(X,X) = mult(mult(mult(X,X),X),rd(unit,X)),
    inference('PARAMODULATE',[status(thm)],[321,10,theory(equality)]) ).

cnf(323,plain,
    ld(mult(mult(X,X),X),mult(X,X)) = rd(ld(X,Y),Y),
    inference('PARAMODULATE',[status(thm)],[c02,321,theory(equality)]) ).

cnf(324,plain,
    ld(mult(mult(X,X),X),mult(X,X)) = rd(unit,X),
    inference('PARAMODULATE',[status(thm)],[c02,322,theory(equality)]) ).

cnf(325,plain,
    rd(ld(mult(mult(X,X),X),mult(X,X)),X) = mult(ld(mult(mult(X,X),X),mult(X,X)),ld(mult(mult(X,X),X),mult(X,X))),
    inference('REWRITE',[status(thm)],[77,324,theory(equality)]) ).

cnf(329,plain,
    ld(mult(mult(ld(X,ld(X,unit)),ld(X,ld(X,unit))),ld(X,ld(X,unit))),mult(ld(X,ld(X,unit)),ld(X,ld(X,unit)))) = mult(X,X),
    inference('PARAMODULATE',[status(thm)],[70,324,theory(equality)]) ).

cnf(332,plain,
    ld(mult(X,mult(X,Y)),mult(X,X)) = ld(Y,unit),
    inference('PARAMODULATE',[status(thm)],[113,c05,theory(equality)]) ).

cnf(334,plain,
    ld(mult(X,Y),mult(X,X)) = ld(ld(X,Y),unit),
    inference('PARAMODULATE',[status(thm)],[332,c01,theory(equality)]) ).

cnf(335,plain,
    X = ld(ld(X,unit),unit),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[334,c05,theory(equality)]),c02,theory(equality)]) ).

cnf(337,plain,
    ld(X,mult(Y,Y)) = ld(ld(Y,ld(Y,X)),unit),
    inference('PARAMODULATE',[status(thm)],[334,c01,theory(equality)]) ).

cnf(338,plain,
    ld(mult(mult(X,X),Y),mult(X,X)) = ld(Y,unit),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[334,15,theory(equality)]),c02,theory(equality)]) ).

cnf(339,plain,
    ld(ld(X,ld(X,unit)),unit) = mult(X,X),
    inference('REWRITE',[status(thm)],[329,338,theory(equality)]) ).

cnf(373,plain,
    ld(X,ld(ld(Y,ld(Y,unit)),unit)) = ld(ld(Y,ld(Y,X)),unit),
    inference('REWRITE',[status(thm)],[337,339,theory(equality)]) ).

cnf(375,plain,
    mult(ld(ld(X,ld(X,unit)),unit),Y) = mult(X,mult(X,Y)),
    inference('REWRITE',[status(thm)],[15,339,theory(equality)]) ).

cnf(383,plain,
    mult(ld(ld(X,ld(X,unit)),unit),mult(Y,Z)) = mult(mult(ld(ld(X,ld(X,unit)),unit),Y),Z),
    inference('REWRITE',[status(thm)],[34,375,theory(equality)]) ).

cnf(401,plain,
    mult(ld(ld(X,ld(X,unit)),unit),Y) = mult(mult(ld(ld(X,ld(X,unit)),unit),Z),ld(Z,Y)),
    inference('REWRITE',[status(thm)],[19,375,339,theory(equality)]) ).

cnf(403,plain,
    mult(ld(ld(X,ld(X,unit)),unit),ld(X,Y)) = mult(X,Y),
    inference('REWRITE',[status(thm)],[29,339,theory(equality)]) ).

cnf(414,plain,
    rd(X,ld(X,unit)) = ld(ld(X,ld(X,unit)),unit),
    inference('REWRITE',[status(thm)],[69,339,theory(equality)]) ).

cnf(415,plain,
    ld(ld(ld(X,ld(X,unit)),unit),Y) = ld(X,ld(X,Y)),
    inference('REWRITE',[status(thm)],[78,339,theory(equality)]) ).

cnf(500,plain,
    mult(a,mult(ld(ld(b,ld(b,unit)),unit),c)) != mult(mult(a,ld(ld(b,ld(b,unit)),unit)),c),
    inference('REWRITE',[status(thm)],[16,339,theory(equality)]) ).

cnf(501,plain,
    ld(X,unit) = rd(ld(X,Y),Y),
    inference('REWRITE',[status(thm)],[323,338,theory(equality)]) ).

cnf(502,plain,
    ld(X,unit) = rd(unit,X),
    inference('REWRITE',[status(thm)],[324,338,theory(equality)]) ).

cnf(503,plain,
    rd(ld(X,unit),X) = ld(ld(ld(X,unit),X),unit),
    inference('REWRITE',[status(thm)],[325,335,339,338,theory(equality)]) ).

cnf(505,plain,
    ld(ld(X,unit),ld(X,Y)) = Y,
    inference('PARAMODULATE',[status(thm)],[12,501,theory(equality)]) ).

cnf(506,plain,
    mult(ld(X,unit),Y) = ld(X,Y),
    inference('PARAMODULATE',[status(thm)],[c03,501,theory(equality)]) ).

cnf(507,plain,
    mult(a,ld(ld(b,ld(b,unit)),c)) != mult(mult(a,ld(ld(b,ld(b,unit)),unit)),c),
    inference('REWRITE',[status(thm)],[500,506,theory(equality)]) ).

cnf(523,plain,
    ld(ld(X,ld(X,unit)),ld(X,Y)) = mult(X,Y),
    inference('REWRITE',[status(thm)],[403,506,theory(equality)]) ).

cnf(526,plain,
    ld(ld(X,ld(X,unit)),ld(X,ld(X,Y))) = Y,
    inference('REWRITE',[status(thm)],[c01,523,theory(equality)]) ).

cnf(528,plain,
    ld(ld(ld(X,unit),X),ld(ld(X,unit),Y)) = ld(X,Y),
    inference('REWRITE',[status(thm)],[506,335,523,theory(equality)]) ).

cnf(551,plain,
    ld(ld(X,ld(X,unit)),ld(X,unit)) = X,
    inference('REWRITE',[status(thm)],[c05,523,theory(equality)]) ).

cnf(552,plain,
    ld(ld(a,ld(a,unit)),ld(a,ld(ld(b,ld(b,unit)),c))) != ld(ld(ld(ld(a,ld(a,unit)),ld(ld(b,ld(b,a)),unit)),ld(ld(ld(a,ld(a,unit)),ld(ld(b,ld(b,a)),unit)),unit)),ld(ld(ld(a,ld(a,unit)),ld(ld(b,ld(b,a)),unit)),c)),
    inference('REWRITE',[status(thm)],[507,373,523,theory(equality)]) ).

cnf(568,plain,
    ld(ld(X,ld(X,unit)),ld(ld(Y,ld(Y,unit)),ld(Y,Z))) = ld(ld(ld(ld(X,ld(X,unit)),Y),ld(ld(ld(X,ld(X,unit)),Y),unit)),ld(ld(ld(X,ld(X,unit)),Y),Z)),
    inference('REWRITE',[status(thm)],[383,528,415,523,506,theory(equality)]) ).

cnf(569,plain,
    ld(ld(a,ld(a,unit)),ld(a,ld(ld(b,ld(b,unit)),c))) != ld(ld(a,ld(a,unit)),ld(ld(b,ld(b,a)),c)),
    inference('REWRITE',[status(thm)],[552,528,335,568,theory(equality)]) ).

cnf(577,plain,
    ld(ld(X,ld(X,unit)),Y) = ld(ld(ld(ld(X,ld(X,unit)),Z),ld(ld(ld(X,ld(X,unit)),Z),unit)),ld(ld(ld(X,ld(X,unit)),Z),ld(Z,Y))),
    inference('REWRITE',[status(thm)],[401,528,415,523,506,theory(equality)]) ).

cnf(618,plain,
    ld(rd(X,Y),unit) = rd(Y,X),
    inference('PARAMODULATE',[status(thm)],[501,12,theory(equality)]) ).

cnf(622,plain,
    ld(ld(ld(X,unit),X),unit) = ld(X,ld(X,unit)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[14,551,theory(equality)]),503,theory(equality)]) ).

cnf(624,plain,
    rd(ld(X,unit),X) = ld(X,ld(X,unit)),
    inference('REWRITE',[status(thm)],[503,622,theory(equality)]) ).

cnf(639,plain,
    ld(ld(ld(X,unit),X),X) = ld(X,unit),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[551,12,theory(equality)]),502,theory(equality)]) ).

cnf(641,plain,
    ld(X,ld(ld(X,unit),Y)) = Y,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[526,12,theory(equality)]),528,502,theory(equality)]) ).

cnf(645,plain,
    ld(rd(X,Y),ld(rd(Y,X),Z)) = Z,
    inference('PARAMODULATE',[status(thm)],[505,618,theory(equality)]) ).

cnf(648,plain,
    ld(ld(X,ld(X,unit)),ld(X,Y)) = ld(ld(X,unit),Y),
    inference('PARAMODULATE',[status(thm)],[526,641,theory(equality)]) ).

cnf(663,plain,
    ld(ld(X,ld(X,unit)),Y) = ld(ld(ld(ld(X,ld(X,unit)),Z),unit),ld(Z,Y)),
    inference('REWRITE',[status(thm)],[577,648,theory(equality)]) ).

cnf(664,plain,
    ld(ld(a,unit),ld(ld(b,ld(b,unit)),c)) != ld(ld(a,ld(a,unit)),ld(ld(b,ld(b,a)),c)),
    inference('REWRITE',[status(thm)],[569,648,theory(equality)]) ).

cnf(733,plain,
    ld(ld(X,ld(X,unit)),unit) = ld(ld(X,unit),X),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[14,639,theory(equality)]),414,theory(equality)]) ).

cnf(741,plain,
    ld(X,ld(ld(Y,unit),Y)) = ld(ld(Y,ld(Y,X)),unit),
    inference('REWRITE',[status(thm)],[373,733,theory(equality)]) ).

cnf(748,plain,
    rd(X,ld(X,unit)) = ld(ld(X,unit),X),
    inference('REWRITE',[status(thm)],[414,733,theory(equality)]) ).

cnf(749,plain,
    ld(ld(ld(X,unit),X),Y) = ld(X,ld(X,Y)),
    inference('REWRITE',[status(thm)],[415,733,theory(equality)]) ).

cnf(797,plain,
    ld(ld(ld(X,unit),X),ld(ld(X,ld(X,unit)),Y)) = Y,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[645,748,theory(equality)]),624,theory(equality)]) ).

cnf(816,plain,
    ld(ld(X,ld(X,unit)),Y) = ld(ld(X,unit),ld(ld(X,unit),Y)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[749,12,theory(equality)]),502,theory(equality)]) ).

cnf(876,plain,
    ld(X,ld(X,Y)) = ld(ld(Y,ld(ld(X,unit),X)),unit),
    inference('PARAMODULATE',[status(thm)],[335,741,theory(equality)]) ).

cnf(980,plain,
    ld(X,ld(Y,ld(Y,unit))) = ld(ld(ld(Y,ld(Y,unit)),X),unit),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[741,816,theory(equality)]),335,theory(equality)]) ).

cnf(1001,plain,
    ld(ld(X,ld(X,unit)),Y) = ld(ld(Z,ld(X,ld(X,unit))),ld(Z,Y)),
    inference('REWRITE',[status(thm)],[663,980,theory(equality)]) ).

cnf(1034,plain,
    ld(ld(ld(X,unit),X),Y) = ld(ld(Z,ld(ld(X,unit),X)),ld(Z,Y)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1001,12,theory(equality)]),502,theory(equality)]) ).

cnf(1039,plain,
    ld(ld(X,ld(X,unit)),ld(Y,Z)) = ld(ld(ld(Y,unit),ld(X,ld(X,unit))),Z),
    inference('PARAMODULATE',[status(thm)],[1001,505,theory(equality)]) ).

cnf(1137,plain,
    ld(ld(ld(X,unit),X),Y) = ld(ld(ld(X,ld(X,Z)),unit),ld(Z,Y)),
    inference('PARAMODULATE',[status(thm)],[1034,741,theory(equality)]) ).

cnf(1142,plain,
    ld(ld(X,ld(X,Y)),ld(ld(ld(X,unit),X),Z)) = ld(Y,Z),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[505,1034,theory(equality)]),876,theory(equality)]) ).

cnf(1191,plain,
    ld(ld(X,ld(X,Y)),Z) = ld(Y,ld(ld(X,ld(X,unit)),Z)),
    inference('PARAMODULATE',[status(thm)],[1142,797,theory(equality)]) ).

cnf(1193,plain,
    ld(ld(b,ld(b,ld(a,unit))),c) != ld(ld(a,ld(a,unit)),ld(ld(b,ld(b,a)),c)),
    inference('REWRITE',[status(thm)],[664,1191,theory(equality)]) ).

cnf(3783,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1193,1039,theory(equality)]),749,1137,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRP687-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Mon Jun 13 12:53:25 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.47  * 
% 0.22/0.47  * 
% 0.22/0.48  #<PACKAGE "SNARK-USER">
% 0.22/0.48  * 
% 0.22/0.48  SNARK-TPTP-OPTIONS
% 0.22/0.48  * 
% 0.22/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.48   (USE-FACTORING :POS)
% 0.22/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.48  * 
% 0.22/0.48  "."
% 0.22/0.48  * 
% 0.22/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T12:53:25
% 0.22/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-13T12:53:25
% 0.22/0.49  
% 0.22/0.49  ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 6.39/6.60  ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 6.39/6.60  
% 6.39/6.60  #||
% 6.39/6.60  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.39/6.60  % SZS output start Refutation
% See solution above
% 6.45/6.62  ||#
% 6.45/6.62  
% 6.45/6.62  ; Summary of computation:
% 6.45/6.62  ;     13300 formulas have been input or derived (from 146 formulas).
% 6.45/6.62  ;      3783 (28%) were retained.  Of these,
% 6.45/6.62  ;         1809 (48%) were simplified or subsumed later,
% 6.45/6.62  ;         1974 (52%) are still being kept.
% 6.45/6.62  ; 
% 6.45/6.62  ; Run time in seconds excluding printing time:
% 6.45/6.62  ;     0.002   0%   Read assertion file          (1 call)
% 6.45/6.62  ;     0.000   0%   Assert                       (8 calls)
% 6.45/6.62  ;     0.581  10%   Process new row              (12,744 calls)
% 6.45/6.62  ;     0.015   0%   Resolution                   (290 calls)
% 6.45/6.62  ;     0.236   4%   Paramodulation               (145 calls)
% 6.45/6.62  ;     1.467  24%   Forward simplification       (12,054 calls)
% 6.45/6.62  ;     0.628  10%   Backward simplification      (3,783 calls)
% 6.45/6.62  ;     3.109  51%   Ordering                     (305,208 calls)
% 6.45/6.62  ;     0.000   0%   Sortal reasoning             (32 calls)
% 6.45/6.62  ;     0.000   0%   Purity testing               (1 call)
% 6.45/6.62  ;     0.071   1%   Other
% 6.45/6.62  ;     6.109        Total
% 6.45/6.62  ;     6.137        Real time
% 6.45/6.62  ; 
% 6.45/6.62  ; Term-hash-array has 12,195 terms in all.
% 6.45/6.62  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 6.45/6.62  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 6.45/6.62  ; Path-index has 6,712 entries (6,713 at peak, 13,342 added, 6,630 deleted).
% 6.45/6.62  ; Path-index has 19,609 nodes (19,609 at peak, 34,849 added, 15,240 deleted).
% 6.45/6.62  ; Trie-index has 6,712 entries (6,713 at peak, 13,342 added, 6,630 deleted).
% 6.45/6.62  ; Trie-index has 53,511 nodes (53,565 at peak, 158,464 added, 104,953 deleted).
% 6.45/6.62  ; Retrieved 613,577 generalization terms in 205,645 calls.
% 6.45/6.62  ; Retrieved 76,103 instance terms in 6,187 calls.
% 6.45/6.62  ; Retrieved 79,515 unifiable terms in 1,150 calls.
% 6.45/6.62  ; 
% 6.45/6.62  ; The agenda of rows to process has 398 entries:
% 6.45/6.62  ;     7 with value 36             11 with value 47              10 with value 58
% 6.45/6.62  ;    16 with value 37              7 with value 48              21 with value 59
% 6.45/6.62  ;     6 with value 38             10 with value 49              12 with value 60
% 6.45/6.62  ;     3 with value 39             14 with value 50              20 with value 61
% 6.45/6.62  ;    13 with value 40              7 with value 51              19 with value 62
% 6.45/6.62  ;    13 with value 41              9 with value 52              16 with value 63
% 6.45/6.62  ;    23 with value 42              9 with value 53               3 with value 64
% 6.45/6.62  ;    14 with value 43             11 with value 54               1 with value 66
% 6.45/6.62  ;    34 with value 44              8 with value 55               1 with value 75
% 6.45/6.62  ;    38 with value 45              5 with value 56               1 with value 79
% 6.45/6.62  ;    26 with value 46             10 with value 57
% 6.45/6.62  ; The agenda of rows to give has 1899 entries:
% 6.45/6.62  ;    24 with value (4 30)         63 with value (4 48)           4 with value (4 66)
% 6.45/6.62  ;    16 with value (4 31)         87 with value (4 49)           2 with value (4 67)
% 6.45/6.62  ;    16 with value (4 32)         93 with value (4 50)           1 with value (4 68)
% 6.45/6.62  ;    15 with value (4 33)        112 with value (4 51)           2 with value (4 69)
% 6.45/6.62  ;    31 with value (4 34)        106 with value (4 52)           1 with value (4 70)
% 6.45/6.62  ;    27 with value (4 35)        110 with value (4 53)           1 with value (4 73)
% 6.45/6.62  ;    37 with value (4 36)         69 with value (4 54)           1 with value (4 75)
% 6.45/6.62  ;    32 with value (4 37)         53 with value (4 55)           2 with value (4 76)
% 6.45/6.62  ;    37 with value (4 38)         41 with value (4 56)           2 with value (4 79)
% 6.45/6.62  ;    51 with value (4 39)         27 with value (4 57)           1 with value (4 81)
% 6.45/6.62  ;    70 with value (4 40)         18 with value (4 58)           2 with value (4 82)
% 6.45/6.62  ;   101 with value (4 41)         10 with value (4 59)           1 with value (4 85)
% 6.45/6.62  ;   139 with value (4 42)         10 with value (4 60)           1 with value (4 91)
% 6.45/6.62  ;   125 with value (4 43)         12 with value (4 61)           1 with value (4 93)
% 6.45/6.62  ;    98 with value (4 44)         10 with value (4 62)           2 with value (4 108)
% 6.45/6.62  ;    79 with value (4 45)         10 with value (4 63)           1 with value (4 115)
% 6.45/6.62  ;    59 with value (4 46)          5 with value (4 64)           1 with value (4 366)
% 6.45/6.62  ;    74 with value (4 47)          6 with value (4 65)
% 6.45/6.62  Evaluation took:
% 6.45/6.62    6.138 seconds of real time
% 6.45/6.62    5.659161 seconds of user run time
% 6.45/6.62    0.471327 seconds of system run time
% 6.45/6.62    [Run times include 0.564 seconds GC run time.]
% 6.45/6.62    0 calls to %EVAL
% 6.45/6.62    0 page faults and
% 6.45/6.62    432,795,160 bytes consed.
% 6.45/6.62  :PROOF-FOUND
% 6.45/6.62  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T12:53:31
% 6.45/6.62  :PROOF-FOUND
% 6.45/6.62  * 
%------------------------------------------------------------------------------