%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP002-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 11:35:10 EDT 2022
% Result : Unsatisfiable 1.08s 1.26s
% Output : Refutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 8
% Syntax : Number of clauses : 93 ( 93 unt; 0 nHn; 3 RR)
% Number of literals : 93 ( 92 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 189 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
multiply(identity,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(left_inverse,axiom,
multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(associativity,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(right_identity,axiom,
multiply(X,identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
cnf(right_inverse,axiom,
multiply(X,inverse(X)) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
cnf(commutator,axiom,
commutator(X,Y) = multiply(X,multiply(Y,multiply(inverse(X),inverse(Y)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutator) ).
cnf(7,plain,
commutator(X,Y) = multiply(X,multiply(multiply(Y,inverse(X)),inverse(Y))),
inference('REWRITE',[status(thm)],[commutator,associativity,theory(equality)]) ).
cnf(x_cubed_is_identity,hypothesis,
multiply(X,multiply(X,X)) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_cubed_is_identity) ).
cnf(prove_commutator,negated_conjecture,
commutator(commutator(a,b),b) != identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutator) ).
cnf(10,plain,
identity = inverse(identity),
inference('PARAMODULATE',[status(thm)],[right_identity,left_inverse,theory(equality)]) ).
cnf(11,plain,
multiply(multiply(X,X),X) = identity,
inference('PARAMODULATE',[status(thm)],[x_cubed_is_identity,associativity,theory(equality)]) ).
cnf(12,plain,
X = multiply(inverse(Y),multiply(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[associativity,left_inverse,theory(equality)]),left_identity,theory(equality)]) ).
cnf(13,plain,
multiply(multiply(X,Y),inverse(Y)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[associativity,right_inverse,theory(equality)]),right_identity,theory(equality)]) ).
cnf(14,plain,
X = multiply(Y,multiply(inverse(Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[associativity,right_inverse,theory(equality)]),left_identity,theory(equality)]) ).
cnf(15,plain,
multiply(multiply(X,inverse(Y)),Y) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[associativity,left_inverse,theory(equality)]),right_identity,theory(equality)]) ).
cnf(18,plain,
multiply(multiply(X,multiply(Y,Z)),U) = multiply(multiply(X,Y),multiply(Z,U)),
inference('PARAMODULATE',[status(thm)],[associativity,associativity,theory(equality)]) ).
cnf(19,plain,
multiply(multiply(X,multiply(Y,Z)),U) = multiply(X,multiply(Y,multiply(Z,U))),
inference('PARAMODULATE',[status(thm)],[associativity,associativity,theory(equality)]) ).
cnf(21,plain,
multiply(multiply(multiply(X,Y),Z),U) = multiply(X,multiply(multiply(Y,Z),U)),
inference('PARAMODULATE',[status(thm)],[associativity,associativity,theory(equality)]) ).
cnf(22,plain,
commutator(X,Y) = multiply(multiply(X,Y),multiply(inverse(X),inverse(Y))),
inference('REWRITE',[status(thm)],[7,associativity,21,theory(equality)]) ).
cnf(23,plain,
multiply(multiply(X,Y),multiply(Z,U)) = multiply(X,multiply(multiply(Y,Z),U)),
inference('PARAMODULATE',[status(thm)],[associativity,associativity,theory(equality)]) ).
cnf(34,plain,
commutator(multiply(X,Y),multiply(inverse(X),inverse(Y))) = multiply(multiply(commutator(X,Y),inverse(multiply(X,Y))),inverse(multiply(inverse(X),inverse(Y)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22,22,theory(equality)]),associativity,theory(equality)]) ).
cnf(35,plain,
multiply(multiply(multiply(X,Y),X),multiply(multiply(Y,X),Y)) = identity,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[associativity,11,theory(equality)]),18,19,theory(equality)]) ).
cnf(38,plain,
X = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12,left_inverse,theory(equality)]),right_identity,theory(equality)]) ).
cnf(39,plain,
multiply(X,X) = inverse(X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12,x_cubed_is_identity,theory(equality)]),right_identity,theory(equality)]) ).
cnf(43,plain,
commutator(inverse(X),multiply(X,Y)) = multiply(multiply(Y,X),inverse(multiply(X,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22,12,theory(equality)]),associativity,38,theory(equality)]) ).
cnf(44,plain,
commutator(inverse(X),Y) = multiply(multiply(inverse(X),Y),multiply(X,inverse(Y))),
inference('PARAMODULATE',[status(thm)],[22,38,theory(equality)]) ).
cnf(46,plain,
multiply(inverse(X),Y) = multiply(X,multiply(X,Y)),
inference('PARAMODULATE',[status(thm)],[associativity,39,theory(equality)]) ).
cnf(47,plain,
multiply(multiply(X,Y),Y) = multiply(X,inverse(Y)),
inference('PARAMODULATE',[status(thm)],[associativity,39,theory(equality)]) ).
cnf(49,plain,
inverse(X) = multiply(inverse(multiply(Y,X)),Y),
inference('PARAMODULATE',[status(thm)],[12,13,theory(equality)]) ).
cnf(50,plain,
multiply(X,inverse(multiply(Y,X))) = inverse(Y),
inference('PARAMODULATE',[status(thm)],[13,12,theory(equality)]) ).
cnf(53,plain,
multiply(commutator(X,Y),inverse(multiply(inverse(X),inverse(Y)))) = multiply(X,Y),
inference('PARAMODULATE',[status(thm)],[13,22,theory(equality)]) ).
cnf(54,plain,
commutator(multiply(X,Y),inverse(Y)) = multiply(X,multiply(inverse(multiply(X,Y)),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22,13,theory(equality)]),38,theory(equality)]) ).
cnf(55,plain,
multiply(inverse(X),inverse(Y)) = inverse(multiply(Y,X)),
inference('PARAMODULATE',[status(thm)],[13,49,theory(equality)]) ).
cnf(59,plain,
commutator(X,Y) = commutator(inverse(Y),multiply(Y,X)),
inference('REWRITE',[status(thm)],[22,43,55,theory(equality)]) ).
cnf(60,plain,
commutator(X,Y) = multiply(multiply(X,Y),inverse(multiply(Y,X))),
inference('REWRITE',[status(thm)],[43,59,theory(equality)]) ).
cnf(61,plain,
commutator(multiply(X,Y),inverse(multiply(Y,X))) = multiply(multiply(commutator(X,Y),inverse(multiply(X,Y))),multiply(Y,X)),
inference('REWRITE',[status(thm)],[34,38,55,theory(equality)]) ).
cnf(63,plain,
multiply(commutator(X,Y),multiply(Y,X)) = multiply(X,Y),
inference('REWRITE',[status(thm)],[53,38,55,theory(equality)]) ).
cnf(64,plain,
multiply(inverse(X),Y) = inverse(multiply(inverse(Y),X)),
inference('PARAMODULATE',[status(thm)],[15,49,theory(equality)]) ).
cnf(66,plain,
commutator(multiply(X,Y),inverse(Y)) = multiply(X,inverse(multiply(inverse(Y),multiply(X,Y)))),
inference('REWRITE',[status(thm)],[54,64,theory(equality)]) ).
cnf(67,plain,
commutator(multiply(inverse(X),Y),X) = commutator(inverse(X),Y),
inference('PARAMODULATE',[status(thm)],[59,14,theory(equality)]) ).
cnf(69,plain,
commutator(multiply(X,Y),inverse(X)) = commutator(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[59,12,theory(equality)]),38,theory(equality)]) ).
cnf(71,plain,
commutator(multiply(X,Y),Z) = commutator(inverse(Z),multiply(multiply(Z,X),Y)),
inference('PARAMODULATE',[status(thm)],[59,associativity,theory(equality)]) ).
cnf(73,plain,
inverse(multiply(X,inverse(Y))) = multiply(Y,inverse(X)),
inference('PARAMODULATE',[status(thm)],[14,50,theory(equality)]) ).
cnf(74,plain,
commutator(multiply(X,Y),inverse(Y)) = inverse(commutator(inverse(Y),X)),
inference('REWRITE',[status(thm)],[66,44,18,73,theory(equality)]) ).
cnf(75,plain,
commutator(multiply(X,Y),inverse(multiply(Y,X))) = inverse(multiply(inverse(multiply(Y,X)),multiply(multiply(X,Y),inverse(commutator(X,Y))))),
inference('REWRITE',[status(thm)],[61,64,73,theory(equality)]) ).
cnf(82,plain,
commutator(multiply(X,Y),X) = commutator(inverse(X),multiply(inverse(X),Y)),
inference('PARAMODULATE',[status(thm)],[59,46,theory(equality)]) ).
cnf(84,plain,
multiply(multiply(X,Y),multiply(Y,Z)) = multiply(X,multiply(inverse(Y),Z)),
inference('PARAMODULATE',[status(thm)],[associativity,46,theory(equality)]) ).
cnf(102,plain,
multiply(commutator(X,Y),Y) = multiply(multiply(X,Y),inverse(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[63,12,theory(equality)]),69,theory(equality)]) ).
cnf(104,plain,
commutator(multiply(X,Y),inverse(commutator(X,Y))) = commutator(commutator(X,Y),multiply(Y,X)),
inference('PARAMODULATE',[status(thm)],[69,63,theory(equality)]) ).
cnf(120,plain,
multiply(multiply(inverse(X),Y),Z) = inverse(multiply(inverse(multiply(Y,Z)),X)),
inference('PARAMODULATE',[status(thm)],[associativity,64,theory(equality)]) ).
cnf(129,plain,
multiply(commutator(inverse(X),Y),Y) = multiply(inverse(X),multiply(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[63,67,theory(equality)]),38,64,120,12,39,84,theory(equality)]) ).
cnf(138,plain,
inverse(multiply(X,multiply(Y,inverse(Z)))) = multiply(Z,inverse(multiply(X,Y))),
inference('PARAMODULATE',[status(thm)],[73,associativity,theory(equality)]) ).
cnf(180,plain,
commutator(X,Y) = inverse(commutator(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[associativity,60,theory(equality)]),right_identity,right_inverse,138,102,73,theory(equality)]) ).
cnf(184,plain,
commutator(multiply(X,Y),inverse(multiply(Y,X))) = inverse(multiply(inverse(multiply(Y,X)),multiply(multiply(X,Y),commutator(Y,X)))),
inference('REWRITE',[status(thm)],[75,180,theory(equality)]) ).
cnf(186,plain,
commutator(multiply(X,Y),commutator(Y,X)) = commutator(commutator(X,Y),multiply(Y,X)),
inference('REWRITE',[status(thm)],[104,180,theory(equality)]) ).
cnf(189,plain,
commutator(multiply(X,Y),inverse(Y)) = commutator(X,inverse(Y)),
inference('REWRITE',[status(thm)],[74,180,theory(equality)]) ).
cnf(193,plain,
commutator(commutator(X,Y),inverse(multiply(X,Y))) = commutator(multiply(X,Y),inverse(multiply(Y,X))),
inference('PARAMODULATE',[status(thm)],[69,60,theory(equality)]) ).
cnf(194,plain,
commutator(commutator(X,Y),inverse(multiply(X,Y))) = inverse(multiply(inverse(multiply(Y,X)),multiply(multiply(X,Y),commutator(Y,X)))),
inference('REWRITE',[status(thm)],[184,193,theory(equality)]) ).
cnf(195,plain,
commutator(inverse(multiply(X,Y)),multiply(Y,X)) = commutator(inverse(multiply(Y,X)),commutator(Y,X)),
inference('PARAMODULATE',[status(thm)],[59,60,theory(equality)]) ).
cnf(197,plain,
commutator(inverse(X),inverse(Y)) = multiply(inverse(multiply(Y,X)),multiply(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[60,55,theory(equality)]),38,55,theory(equality)]) ).
cnf(205,plain,
commutator(inverse(multiply(X,Y)),commutator(X,Y)) = multiply(commutator(inverse(X),inverse(Y)),commutator(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[60,60,theory(equality)]),180,197,195,theory(equality)]) ).
cnf(210,plain,
multiply(commutator(X,Y),commutator(Y,X)) = identity,
inference('PARAMODULATE',[status(thm)],[right_inverse,180,theory(equality)]) ).
cnf(220,plain,
commutator(X,Y) = commutator(multiply(X,Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[189,13,theory(equality)]),38,theory(equality)]) ).
cnf(228,plain,
commutator(commutator(X,Y),inverse(multiply(X,Y))) = commutator(commutator(X,Y),inverse(multiply(Y,X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[189,63,theory(equality)]),193,theory(equality)]) ).
cnf(234,plain,
commutator(X,multiply(Y,X)) = commutator(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[180,220,theory(equality)]),180,theory(equality)]) ).
cnf(251,plain,
commutator(inverse(multiply(X,Y)),commutator(Y,X)) = commutator(inverse(multiply(Y,X)),commutator(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[234,60,theory(equality)]),195,theory(equality)]) ).
cnf(299,plain,
inverse(multiply(multiply(X,Y),X)) = multiply(multiply(Y,X),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13,35,theory(equality)]),left_identity,theory(equality)]) ).
cnf(388,plain,
commutator(multiply(X,Y),X) = commutator(inverse(multiply(multiply(Y,X),Y)),X),
inference('PARAMODULATE',[status(thm)],[220,299,theory(equality)]) ).
cnf(389,plain,
commutator(X,Y) = commutator(inverse(Y),inverse(multiply(multiply(X,Y),X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[71,299,theory(equality)]),220,theory(equality)]) ).
cnf(391,plain,
commutator(X,multiply(X,Y)) = multiply(multiply(inverse(X),Y),multiply(multiply(Y,X),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[60,299,theory(equality)]),46,theory(equality)]) ).
cnf(849,plain,
multiply(multiply(X,inverse(Y)),multiply(Z,U)) = multiply(multiply(X,Y),multiply(multiply(Y,Z),U)),
inference('PARAMODULATE',[status(thm)],[23,47,theory(equality)]) ).
cnf(851,plain,
commutator(X,multiply(X,Y)) = commutator(inverse(X),inverse(Y)),
inference('REWRITE',[status(thm)],[391,197,55,849,theory(equality)]) ).
cnf(852,plain,
commutator(multiply(X,Y),X) = commutator(X,inverse(Y)),
inference('REWRITE',[status(thm)],[82,38,851,theory(equality)]) ).
cnf(860,plain,
commutator(X,inverse(Y)) = commutator(inverse(multiply(multiply(Y,X),Y)),X),
inference('REWRITE',[status(thm)],[388,852,theory(equality)]) ).
cnf(878,plain,
multiply(inverse(multiply(inverse(X),Y)),multiply(Z,U)) = multiply(inverse(Y),multiply(multiply(X,Z),U)),
inference('PARAMODULATE',[status(thm)],[23,64,theory(equality)]) ).
cnf(879,plain,
commutator(commutator(X,Y),inverse(multiply(X,Y))) = multiply(inverse(multiply(Y,commutator(Y,X))),multiply(commutator(inverse(X),Y),Y)),
inference('REWRITE',[status(thm)],[194,38,64,129,878,theory(equality)]) ).
cnf(993,plain,
commutator(inverse(X),inverse(Y)) = commutator(inverse(Y),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[180,852,theory(equality)]),180,851,theory(equality)]) ).
cnf(996,plain,
commutator(X,Y) = commutator(Y,inverse(X)),
inference('REWRITE',[status(thm)],[389,860,993,theory(equality)]) ).
cnf(1013,plain,
commutator(multiply(X,Y),commutator(X,Y)) = commutator(multiply(Y,X),commutator(X,Y)),
inference('REWRITE',[status(thm)],[228,996,theory(equality)]) ).
cnf(1014,plain,
commutator(multiply(X,Y),commutator(X,Y)) = multiply(inverse(multiply(Y,commutator(Y,X))),multiply(commutator(inverse(X),Y),Y)),
inference('REWRITE',[status(thm)],[879,996,theory(equality)]) ).
cnf(1033,plain,
commutator(X,Y) = commutator(inverse(Y),X),
inference('REWRITE',[status(thm)],[993,996,theory(equality)]) ).
cnf(1055,plain,
commutator(commutator(X,Y),multiply(Y,X)) = commutator(commutator(X,Y),multiply(X,Y)),
inference('REWRITE',[status(thm)],[251,1033,theory(equality)]) ).
cnf(1075,plain,
commutator(multiply(X,Y),commutator(X,Y)) = multiply(inverse(multiply(Y,commutator(Y,X))),multiply(commutator(Y,X),Y)),
inference('REWRITE',[status(thm)],[1014,1033,theory(equality)]) ).
cnf(1083,plain,
commutator(X,Y) = multiply(inverse(multiply(Y,X)),multiply(X,Y)),
inference('REWRITE',[status(thm)],[197,1033,993,theory(equality)]) ).
cnf(1084,plain,
commutator(multiply(X,Y),commutator(X,Y)) = commutator(commutator(Y,X),Y),
inference('REWRITE',[status(thm)],[1075,1083,theory(equality)]) ).
cnf(1085,plain,
commutator(commutator(X,Y),X) = commutator(multiply(X,Y),commutator(Y,X)),
inference('REWRITE',[status(thm)],[1013,1084,theory(equality)]) ).
cnf(1087,plain,
commutator(commutator(X,Y),X) = commutator(commutator(X,Y),multiply(Y,X)),
inference('REWRITE',[status(thm)],[186,1085,theory(equality)]) ).
cnf(1089,plain,
commutator(commutator(X,Y),X) = commutator(commutator(X,Y),multiply(X,Y)),
inference('REWRITE',[status(thm)],[1055,1087,theory(equality)]) ).
cnf(1093,plain,
commutator(commutator(X,Y),X) = identity,
inference('REWRITE',[status(thm)],[205,210,1089,1033,993,theory(equality)]) ).
cnf(1099,plain,
commutator(multiply(X,Y),commutator(X,Y)) = identity,
inference('REWRITE',[status(thm)],[1084,1093,theory(equality)]) ).
cnf(1111,plain,
commutator(X,commutator(Y,X)) = identity,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1099,13,theory(equality)]),234,996,theory(equality)]) ).
cnf(1133,plain,
commutator(commutator(X,Y),Y) = identity,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[180,1111,theory(equality)]),10,theory(equality)]) ).
cnf(1134,plain,
$false,
inference('REWRITE',[status(thm)],[prove_commutator,1133,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP002-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n010.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 : 600
% 0.13/0.34 % DateTime : Mon Jun 13 16:18:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T16:18:54
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-13T16:18:54
% 0.19/0.48
% 0.19/0.48 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.19/0.48 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.19/0.48 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.19/0.48 ; Recognized right identity assertion (= (|multiply| ?X |identity|) ?X).
% 1.08/1.26 ; Recognized possible right inverse assertion (= (|multiply| ?X (|inverse| ?X)) |identity|).
% 1.08/1.26
% 1.08/1.26 #||
% 1.08/1.26 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.08/1.26 % SZS output start Refutation
% See solution above
% 1.08/1.28 ||#
% 1.08/1.28
% 1.08/1.28 ; Summary of computation:
% 1.08/1.28 ; 3244 formulas have been input or derived (from 67 formulas).
% 1.08/1.28 ; 1134 (35%) were retained. Of these,
% 1.08/1.28 ; 345 (30%) were simplified or subsumed later,
% 1.08/1.28 ; 789 (70%) are still being kept.
% 1.08/1.28 ;
% 1.08/1.28 ; Run time in seconds excluding printing time:
% 1.08/1.28 ; 0.002 0% Read assertion file (1 call)
% 1.08/1.28 ; 0.000 0% Assert (8 calls)
% 1.08/1.28 ; 0.093 12% Process new row (3,204 calls)
% 1.08/1.28 ; 0.000 0% Resolution (132 calls)
% 1.08/1.28 ; 0.039 5% Paramodulation (66 calls)
% 1.08/1.28 ; 0.200 25% Forward simplification (3,120 calls)
% 1.08/1.28 ; 0.067 8% Backward simplification (1,133 calls)
% 1.08/1.28 ; 0.351 44% Ordering (44,615 calls)
% 1.08/1.28 ; 0.001 0% Sortal reasoning (32 calls)
% 1.08/1.28 ; 0.000 0% Purity testing (1 call)
% 1.08/1.28 ; 0.038 5% Other
% 1.08/1.28 ; 0.791 Total
% 1.08/1.28 ; 0.807 Real time
% 1.08/1.28 ;
% 1.08/1.28 ; Term-hash-array has 2,668 terms in all.
% 1.08/1.28 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 1.08/1.28 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 1.08/1.28 ; Path-index has 1,920 entries (2,106 at peak, 2,818 added, 898 deleted).
% 1.08/1.28 ; Path-index has 2,097 nodes (2,130 at peak, 2,516 added, 419 deleted).
% 1.08/1.28 ; Trie-index has 1,920 entries (2,106 at peak, 2,818 added, 898 deleted).
% 1.08/1.28 ; Trie-index has 9,130 nodes (10,454 at peak, 13,453 added, 4,323 deleted).
% 1.08/1.28 ; Retrieved 74,118 generalization terms in 27,805 calls.
% 1.08/1.28 ; Retrieved 11,219 instance terms in 2,027 calls.
% 1.08/1.28 ; Retrieved 8,317 unifiable terms in 410 calls.
% 1.08/1.28 ;
% 1.08/1.28 ; The agenda of rows to process has 15 entries:
% 1.08/1.28 ; 1 with value 15 3 with value 17 4 with value 20
% 1.08/1.28 ; 1 with value 16 4 with value 18 2 with value 21
% 1.08/1.28 ; The agenda of rows to give has 744 entries:
% 1.08/1.28 ; 3 with value (4 14) 17 with value (4 22) 47 with value (4 29)
% 1.08/1.28 ; 4 with value (4 15) 42 with value (4 23) 90 with value (4 30)
% 1.08/1.28 ; 2 with value (4 16) 48 with value (4 24) 152 with value (4 31)
% 1.08/1.28 ; 3 with value (4 17) 23 with value (4 25) 8 with value (4 32)
% 1.08/1.28 ; 8 with value (4 18) 93 with value (4 26) 34 with value (4 33)
% 1.08/1.28 ; 8 with value (4 19) 59 with value (4 27) 3 with value (4 34)
% 1.08/1.28 ; 16 with value (4 20) 65 with value (4 28) 2 with value (4 35)
% 1.08/1.28 ; 17 with value (4 21)
% 1.08/1.28 Evaluation took:
% 1.08/1.28 0.807 seconds of real time
% 1.08/1.28 0.725886 seconds of user run time
% 1.08/1.28 0.081179 seconds of system run time
% 1.08/1.28 [Run times include 0.031 seconds GC run time.]
% 1.08/1.28 0 calls to %EVAL
% 1.08/1.28 0 page faults and
% 1.08/1.28 57,997,920 bytes consed.
% 1.08/1.28 :PROOF-FOUND
% 1.08/1.28 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T16:18:55
% 1.08/1.28 :PROOF-FOUND
% 1.08/1.28 *
%------------------------------------------------------------------------------