%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP118-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 11:36:14 EDT 2022
% Result : Unsatisfiable 3.86s 4.05s
% Output : Refutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of clauses : 66 ( 66 unt; 0 nHn; 2 RR)
% Number of literals : 66 ( 65 equ; 1 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 232 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_order3,negated_conjecture,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).
cnf(3,plain,
multiply(X,multiply(multiply(X,multiply(multiply(X,Y),multiply(identity,multiply(multiply(identity,Z),multiply(identity,Z))))),Z)) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(7,plain,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),multiply(identity,Z)),
inference('PARAMODULATE',[status(thm)],[3,single_axiom,theory(equality)]) ).
cnf(12,plain,
multiply(X,multiply(multiply(Y,Z),U)) = multiply(multiply(multiply(X,Y),multiply(identity,Z)),multiply(identity,U)),
inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).
cnf(14,plain,
multiply(X,multiply(Y,multiply(Z,U))) = multiply(multiply(X,Y),multiply(multiply(identity,Z),multiply(identity,U))),
inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).
cnf(16,plain,
multiply(X,multiply(multiply(Y,Z),multiply(identity,U))) = multiply(multiply(X,Y),multiply(identity,multiply(Z,U))),
inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).
cnf(17,plain,
multiply(multiply(X,Y),multiply(multiply(identity,Z),U)) = multiply(multiply(X,multiply(Y,Z)),multiply(identity,U)),
inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).
cnf(18,plain,
multiply(X,multiply(Y,multiply(Z,U))) = multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(identity,U))),
inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).
cnf(19,plain,
multiply(X,multiply(multiply(multiply(X,multiply(X,Y)),multiply(identity,Z)),multiply(identity,multiply(Z,Z)))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,7,theory(equality)]) ).
cnf(21,plain,
multiply(multiply(X,multiply(X,multiply(multiply(X,Y),Z))),multiply(identity,multiply(identity,multiply(Z,Z)))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,7,theory(equality)]) ).
cnf(30,plain,
multiply(multiply(X,Y),multiply(multiply(identity,Z),U)) = multiply(X,multiply(multiply(Y,Z),U)),
inference('PARAMODULATE',[status(thm)],[7,12,theory(equality)]) ).
cnf(33,plain,
multiply(multiply(X,multiply(X,multiply(X,Y))),multiply(multiply(identity,multiply(identity,Z)),multiply(identity,multiply(Z,Z)))) = Y,
inference('REWRITE',[status(thm)],[19,30,theory(equality)]) ).
cnf(37,plain,
multiply(X,multiply(Y,multiply(Z,U))) = multiply(multiply(multiply(X,Y),multiply(identity,Z)),multiply(identity,multiply(identity,U))),
inference('PARAMODULATE',[status(thm)],[12,7,theory(equality)]) ).
cnf(41,plain,
multiply(X,multiply(multiply(Y,Z),multiply(U,V))) = multiply(multiply(multiply(X,Y),multiply(identity,Z)),multiply(multiply(identity,U),multiply(identity,V))),
inference('PARAMODULATE',[status(thm)],[12,7,theory(equality)]) ).
cnf(75,plain,
multiply(multiply(multiply(X,Y),multiply(identity,Z)),multiply(multiply(identity,U),V)) = multiply(X,multiply(multiply(multiply(Y,Z),U),V)),
inference('PARAMODULATE',[status(thm)],[30,7,theory(equality)]) ).
cnf(108,plain,
multiply(X,multiply(Y,multiply(Z,U))) = multiply(X,multiply(multiply(Y,Z),multiply(identity,U))),
inference('PARAMODULATE',[status(thm)],[30,14,theory(equality)]) ).
cnf(110,plain,
multiply(X,multiply(Y,multiply(Z,multiply(U,V)))) = multiply(multiply(X,Y),multiply(multiply(identity,Z),multiply(multiply(identity,U),multiply(identity,V)))),
inference('PARAMODULATE',[status(thm)],[7,14,theory(equality)]) ).
cnf(119,plain,
multiply(X,multiply(Y,multiply(Z,multiply(U,V)))) = multiply(multiply(multiply(X,Y),multiply(identity,Z)),multiply(multiply(identity,multiply(identity,U)),multiply(identity,multiply(identity,V)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12,14,theory(equality)]),7,theory(equality)]) ).
cnf(152,plain,
multiply(multiply(X,Y),multiply(identity,multiply(Z,U))) = multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(identity,U))),
inference('PARAMODULATE',[status(thm)],[7,16,theory(equality)]) ).
cnf(301,plain,
multiply(X,multiply(multiply(Y,multiply(Z,U)),multiply(V,W))) = multiply(multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(identity,U))),multiply(multiply(identity,V),multiply(identity,W))),
inference('PARAMODULATE',[status(thm)],[14,18,theory(equality)]) ).
cnf(310,plain,
multiply(multiply(X,multiply(Y,multiply(Z,U))),multiply(multiply(identity,multiply(identity,multiply(identity,V))),W)) = multiply(X,multiply(multiply(Y,multiply(Z,multiply(U,V))),W)),
inference('PARAMODULATE',[status(thm)],[30,18,theory(equality)]) ).
cnf(373,plain,
multiply(multiply(X,multiply(multiply(Y,Z),multiply(identity,U))),multiply(multiply(identity,V),W)) = multiply(X,multiply(multiply(multiply(Y,multiply(Z,U)),V),W)),
inference('PARAMODULATE',[status(thm)],[30,108,theory(equality)]) ).
cnf(378,plain,
multiply(multiply(X,multiply(Y,multiply(Z,U))),multiply(multiply(identity,V),W)) = multiply(X,multiply(multiply(multiply(multiply(Y,Z),multiply(identity,U)),V),W)),
inference('PARAMODULATE',[status(thm)],[30,108,theory(equality)]) ).
cnf(387,plain,
multiply(multiply(X,Y),multiply(multiply(identity,Z),multiply(multiply(U,V),multiply(identity,W)))) = multiply(multiply(X,multiply(Y,Z)),multiply(identity,multiply(U,multiply(V,W)))),
inference('PARAMODULATE',[status(thm)],[17,108,theory(equality)]) ).
cnf(434,plain,
multiply(multiply(X,multiply(X,multiply(X,multiply(Y,Z)))),multiply(multiply(identity,multiply(identity,multiply(identity,Z))),multiply(identity,multiply(identity,multiply(identity,Z))))) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,7,theory(equality)]),41,7,theory(equality)]) ).
cnf(445,plain,
multiply(multiply(multiply(X,multiply(X,X)),multiply(identity,multiply(identity,Y))),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,Z)),U)),multiply(multiply(identity,U),multiply(identity,U)))) = multiply(Y,Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,7,theory(equality)]),387,7,75,theory(equality)]) ).
cnf(452,plain,
multiply(multiply(multiply(multiply(X,X),multiply(identity,multiply(X,Y))),multiply(identity,multiply(identity,multiply(Z,U)))),multiply(multiply(identity,multiply(identity,multiply(Z,U))),multiply(identity,multiply(identity,multiply(Z,U))))) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,7,theory(equality)]),41,7,37,theory(equality)]) ).
cnf(453,plain,
multiply(multiply(multiply(multiply(X,X),multiply(identity,multiply(X,Y))),multiply(identity,multiply(identity,multiply(identity,multiply(identity,Z))))),multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(Z,Z)))))) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,18,theory(equality)]),7,152,119,theory(equality)]) ).
cnf(467,plain,
multiply(multiply(multiply(X,X),multiply(multiply(identity,X),multiply(multiply(identity,multiply(Y,Z)),multiply(identity,multiply(identity,U))))),multiply(multiply(identity,multiply(identity,multiply(identity,multiply(Z,U)))),multiply(identity,multiply(identity,multiply(identity,multiply(Z,U)))))) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,16,theory(equality)]),152,301,7,41,110,theory(equality)]) ).
cnf(472,plain,
multiply(multiply(X,multiply(X,multiply(X,multiply(Y,Z)))),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,U)),V)),multiply(multiply(identity,V),multiply(identity,V)))) = multiply(multiply(Y,Z),U),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[21,12,theory(equality)]),387,378,theory(equality)]) ).
cnf(495,plain,
multiply(X,multiply(multiply(X,multiply(X,Y)),multiply(multiply(identity,Z),multiply(Z,Z)))) = Y,
inference('PARAMODULATE',[status(thm)],[14,33,theory(equality)]) ).
cnf(497,plain,
multiply(multiply(multiply(X,multiply(X,X)),multiply(identity,multiply(identity,Y))),multiply(multiply(identity,multiply(identity,Z)),multiply(identity,multiply(Z,Z)))) = Y,
inference('PARAMODULATE',[status(thm)],[33,18,theory(equality)]) ).
cnf(500,plain,
multiply(multiply(X,multiply(X,multiply(X,Y))),multiply(multiply(multiply(identity,multiply(identity,Z)),multiply(identity,multiply(Z,Z))),U)) = multiply(Y,multiply(identity,U)),
inference('PARAMODULATE',[status(thm)],[7,33,theory(equality)]) ).
cnf(506,plain,
multiply(multiply(X,Y),multiply(multiply(identity,multiply(Y,multiply(Y,Z))),multiply(multiply(identity,multiply(identity,U)),multiply(identity,multiply(U,U))))) = multiply(X,Z),
inference('PARAMODULATE',[status(thm)],[30,33,theory(equality)]) ).
cnf(510,plain,
multiply(X,Y) = multiply(multiply(multiply(X,Z),multiply(identity,multiply(Z,multiply(Z,Y)))),multiply(multiply(identity,multiply(identity,multiply(identity,U))),multiply(identity,multiply(identity,multiply(U,U))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12,33,theory(equality)]),7,41,theory(equality)]) ).
cnf(512,plain,
multiply(multiply(multiply(multiply(X,Y),multiply(X,Y)),multiply(identity,multiply(X,multiply(Y,Z)))),multiply(multiply(identity,multiply(identity,U)),multiply(identity,multiply(U,U)))) = multiply(identity,Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[33,7,theory(equality)]),7,theory(equality)]) ).
cnf(513,plain,
multiply(multiply(X,multiply(multiply(X,multiply(X,Y)),multiply(identity,multiply(identity,Z)))),multiply(multiply(identity,multiply(identity,U)),multiply(identity,multiply(U,U)))) = multiply(Y,Z),
inference('PARAMODULATE',[status(thm)],[33,18,theory(equality)]) ).
cnf(525,plain,
multiply(multiply(multiply(multiply(X,X),multiply(identity,multiply(X,Y))),multiply(identity,multiply(identity,multiply(multiply(identity,Z),U)))),multiply(multiply(identity,multiply(identity,V)),multiply(identity,multiply(V,V)))) = multiply(multiply(Y,Z),U),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[33,30,theory(equality)]),37,theory(equality)]) ).
cnf(531,plain,
multiply(multiply(multiply(X,X),multiply(multiply(identity,X),multiply(multiply(identity,multiply(Y,Z)),multiply(identity,multiply(identity,U))))),multiply(multiply(identity,multiply(identity,V)),multiply(identity,multiply(V,V)))) = multiply(Y,multiply(Z,U)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[33,108,theory(equality)]),110,theory(equality)]) ).
cnf(549,plain,
multiply(multiply(multiply(X,multiply(X,multiply(X,Y))),multiply(multiply(X,multiply(X,multiply(X,Y))),Y)),multiply(multiply(identity,multiply(identity,Z)),multiply(identity,multiply(Z,Z)))) = multiply(multiply(identity,multiply(identity,U)),multiply(identity,multiply(U,U))),
inference('PARAMODULATE',[status(thm)],[33,33,theory(equality)]) ).
cnf(553,plain,
multiply(X,multiply(multiply(X,multiply(X,Y)),multiply(identity,multiply(identity,identity)))) = Y,
inference('PARAMODULATE',[status(thm)],[495,7,theory(equality)]) ).
cnf(568,plain,
multiply(X,multiply(multiply(X,multiply(X,Y)),multiply(multiply(identity,multiply(identity,multiply(identity,Z))),multiply(identity,multiply(identity,multiply(Z,Z)))))) = Y,
inference('PARAMODULATE',[status(thm)],[495,18,theory(equality)]) ).
cnf(592,plain,
multiply(multiply(multiply(multiply(X,Y),multiply(X,Y)),multiply(identity,multiply(X,multiply(Y,Z)))),multiply(multiply(identity,multiply(identity,multiply(identity,U))),multiply(multiply(identity,V),multiply(V,V)))) = multiply(multiply(identity,Z),U),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[495,30,theory(equality)]),310,7,75,theory(equality)]) ).
cnf(610,plain,
multiply(multiply(X,multiply(X,multiply(X,Y))),multiply(multiply(identity,Z),multiply(Z,Z))) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[33,495,theory(equality)]),495,500,7,373,theory(equality)]) ).
cnf(611,plain,
multiply(multiply(multiply(multiply(X,Y),multiply(X,Y)),multiply(identity,multiply(X,multiply(Y,Z)))),U) = multiply(multiply(identity,Z),U),
inference('REWRITE',[status(thm)],[592,610,theory(equality)]) ).
cnf(612,plain,
multiply(multiply(identity,X),multiply(multiply(identity,multiply(identity,Y)),multiply(identity,multiply(Y,Y)))) = multiply(identity,X),
inference('REWRITE',[status(thm)],[512,611,theory(equality)]) ).
cnf(613,plain,
multiply(multiply(X,Y),multiply(identity,multiply(Y,multiply(Y,Z)))) = multiply(X,Z),
inference('REWRITE',[status(thm)],[506,612,theory(equality)]) ).
cnf(614,plain,
multiply(X,Y) = multiply(multiply(X,Y),multiply(multiply(identity,multiply(identity,multiply(identity,Z))),multiply(identity,multiply(identity,multiply(Z,Z))))),
inference('REWRITE',[status(thm)],[510,613,theory(equality)]) ).
cnf(616,plain,
multiply(X,multiply(X,multiply(X,Y))) = Y,
inference('REWRITE',[status(thm)],[568,614,theory(equality)]) ).
cnf(619,plain,
multiply(multiply(multiply(X,X),multiply(multiply(identity,X),multiply(multiply(identity,multiply(Y,Z)),multiply(identity,multiply(identity,U))))),multiply(multiply(Z,U),multiply(Z,U))) = Y,
inference('REWRITE',[status(thm)],[467,616,theory(equality)]) ).
cnf(621,plain,
multiply(multiply(X,Y),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,Z)),U)),multiply(multiply(identity,U),multiply(identity,U)))) = multiply(multiply(X,Y),Z),
inference('REWRITE',[status(thm)],[472,616,theory(equality)]) ).
cnf(623,plain,
multiply(multiply(multiply(X,multiply(X,X)),multiply(identity,multiply(identity,Y))),Z) = multiply(Y,Z),
inference('REWRITE',[status(thm)],[445,621,theory(equality)]) ).
cnf(624,plain,
multiply(X,multiply(multiply(identity,multiply(identity,Y)),multiply(identity,multiply(Y,Y)))) = X,
inference('REWRITE',[status(thm)],[497,623,theory(equality)]) ).
cnf(654,plain,
multiply(multiply(X,X),multiply(multiply(identity,X),multiply(multiply(identity,multiply(Y,Z)),multiply(identity,multiply(identity,U))))) = multiply(Y,multiply(Z,U)),
inference('REWRITE',[status(thm)],[531,624,theory(equality)]) ).
cnf(655,plain,
multiply(multiply(X,multiply(Y,Z)),multiply(multiply(Y,Z),multiply(Y,Z))) = X,
inference('REWRITE',[status(thm)],[619,654,theory(equality)]) ).
cnf(656,plain,
multiply(multiply(X,X),multiply(identity,multiply(X,Y))) = Y,
inference('REWRITE',[status(thm)],[452,655,theory(equality)]) ).
cnf(661,plain,
multiply(X,multiply(identity,multiply(identity,multiply(multiply(identity,Y),Z)))) = multiply(multiply(X,Y),Z),
inference('REWRITE',[status(thm)],[525,656,624,theory(equality)]) ).
cnf(665,plain,
multiply(X,multiply(multiply(X,multiply(X,Y)),multiply(identity,multiply(identity,Z)))) = multiply(Y,Z),
inference('REWRITE',[status(thm)],[513,624,theory(equality)]) ).
cnf(666,plain,
multiply(X,identity) = X,
inference('REWRITE',[status(thm)],[553,665,theory(equality)]) ).
cnf(742,plain,
multiply(multiply(X,Y),multiply(Y,Y)) = X,
inference('REWRITE',[status(thm)],[434,616,theory(equality)]) ).
cnf(749,plain,
multiply(multiply(X,multiply(identity,Y)),multiply(identity,multiply(Y,Y))) = X,
inference('REWRITE',[status(thm)],[453,656,616,theory(equality)]) ).
cnf(770,plain,
multiply(X,multiply(X,X)) = identity,
inference('REWRITE',[status(thm)],[549,666,749,616,theory(equality)]) ).
cnf(794,plain,
multiply(identity,X) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[742,770,theory(equality)]),742,theory(equality)]) ).
cnf(871,plain,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
inference('REWRITE',[status(thm)],[661,794,theory(equality)]) ).
cnf(872,plain,
$false,
inference('REWRITE',[status(thm)],[prove_order3,871,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP118-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 07:43:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T07:43:27
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-13T07:43:27
% 3.86/4.05
% 3.86/4.05
% 3.86/4.05 #||
% 3.86/4.05 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.86/4.05 % SZS output start Refutation
% See solution above
% 3.86/4.07 ||#
% 3.86/4.07
% 3.86/4.07 ; Summary of computation:
% 3.86/4.07 ; 2047 formulas have been input or derived (from 18 formulas).
% 3.86/4.07 ; 872 (43%) were retained. Of these,
% 3.86/4.07 ; 785 (90%) were simplified or subsumed later,
% 3.86/4.07 ; 87 (10%) are still being kept.
% 3.86/4.07 ;
% 3.86/4.07 ; Run time in seconds excluding printing time:
% 3.86/4.07 ; 0.001 0% Read assertion file (1 call)
% 3.86/4.07 ; 0.000 0% Assert (2 calls)
% 3.86/4.07 ; 0.121 3% Process new row (1,567 calls)
% 3.86/4.07 ; 0.000 0% Resolution (34 calls)
% 3.86/4.07 ; 0.027 1% Paramodulation (17 calls)
% 3.86/4.07 ; 0.418 12% Forward simplification (1,545 calls)
% 3.86/4.07 ; 0.166 5% Backward simplification (872 calls)
% 3.86/4.07 ; 2.830 79% Ordering (179,318 calls)
% 3.86/4.07 ; 0.000 0% Sortal reasoning (32 calls)
% 3.86/4.07 ; 0.000 0% Purity testing (1 call)
% 3.86/4.07 ; 0.027 1% Other
% 3.86/4.07 ; 3.590 Total
% 3.86/4.07 ; 3.604 Real time
% 3.86/4.07 ;
% 3.86/4.07 ; Term-hash-array has 2,499 terms in all.
% 3.86/4.07 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 3.86/4.07 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 3.86/4.07 ; Path-index has 214 entries (1,816 at peak, 2,715 added, 2,501 deleted).
% 3.86/4.07 ; Path-index has 718 nodes (996 at peak, 1,466 added, 748 deleted).
% 3.86/4.07 ; Trie-index has 214 entries (1,816 at peak, 2,715 added, 2,501 deleted).
% 3.86/4.07 ; Trie-index has 1,062 nodes (15,493 at peak, 21,916 added, 20,854 deleted).
% 3.86/4.07 ; Retrieved 66,889 generalization terms in 21,215 calls.
% 3.86/4.07 ; Retrieved 29,389 instance terms in 1,861 calls.
% 3.86/4.07 ; Retrieved 7,161 unifiable terms in 176 calls.
% 3.86/4.07 ;
% 3.86/4.07 ; The agenda of backward simplifiable rows to process has 403 entries:
% 3.86/4.07 ; 403 with value 0
% 3.86/4.07 ; The agenda of rows to process has 71 entries:
% 3.86/4.07 ; 1 with value 21 4 with value 27 5 with value 33
% 3.86/4.07 ; 5 with value 22 1 with value 28 3 with value 34
% 3.86/4.07 ; 2 with value 23 5 with value 29 6 with value 35
% 3.86/4.07 ; 4 with value 24 4 with value 30 4 with value 36
% 3.86/4.07 ; 2 with value 25 12 with value 31 3 with value 37
% 3.86/4.07 ; 8 with value 26 1 with value 32 1 with value 38
% 3.86/4.07 ; The agenda of rows to give has 83 entries:
% 3.86/4.07 ; 1 with value (4 12) 1 with value (4 25) 7 with value (4 32)
% 3.86/4.07 ; 1 with value (4 15) 2 with value (4 26) 26 with value (4 33)
% 3.86/4.07 ; 1 with value (4 16) 1 with value (4 27) 4 with value (4 34)
% 3.86/4.07 ; 1 with value (4 18) 7 with value (4 28) 22 with value (4 35)
% 3.86/4.07 ; 1 with value (4 19) 4 with value (4 30) 1 with value (4 37)
% 3.86/4.07 ; 3 with value (4 22)
% 3.86/4.07 Evaluation took:
% 3.86/4.07 3.604 seconds of real time
% 3.86/4.07 3.372015 seconds of user run time
% 3.86/4.07 0.231784 seconds of system run time
% 3.86/4.07 [Run times include 0.105 seconds GC run time.]
% 3.86/4.07 0 calls to %EVAL
% 3.86/4.07 0 page faults and
% 3.86/4.07 270,905,328 bytes consed.
% 3.86/4.07 :PROOF-FOUND
% 3.86/4.07 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T07:43:31
% 3.86/4.07 :PROOF-FOUND
% 3.86/4.07 *
%------------------------------------------------------------------------------