%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM925+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 : Mon Jul 18 14:15:15 EDT 2022
% Result : Theorem 0.11s 0.44s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 17 unt; 0 nHn; 13 RR)
% Number of literals : 23 ( 15 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ord_less_int(zero_zero_int,plus_plus_int(one_one_int,semiri1621563631at_int(n))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_n1pos) ).
cnf(38,axiom,
~ ord_less_int(pls,pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_rel__simps_I2_J) ).
cnf(41,axiom,
( ~ ord_less_int(X,Y)
| ord_less_int(plus_plus_int(X,Z),plus_plus_int(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_zadd__strict__right__mono) ).
cnf(90,axiom,
bit0(pls) = pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_Bit0__Pls) ).
cnf(91,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_Pls__def) ).
cnf(94,axiom,
plus_plus_int(X,pls) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_add__Pls__right) ).
cnf(97,axiom,
bit0(X) = plus_plus_int(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_Bit0__def) ).
cnf(101,axiom,
( power_power_int(X,number_number_of_nat(Y)) != zero_zero_int
| X = zero_zero_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_power__eq__0__iff__number__of) ).
cnf(102,plain,
( power_power_int(X,number_number_of_nat(Y)) != pls
| X = pls ),
inference('REWRITE',[status(thm)],[101,91,theory(equality)]) ).
cnf(112,axiom,
bit1(X) = plus_plus_int(one_one_int,plus_plus_int(X,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_Bit1__def) ).
cnf(113,plain,
bit1(X) = plus_plus_int(one_one_int,bit0(X)),
inference('REWRITE',[status(thm)],[112,97,theory(equality)]) ).
cnf(128,negated_conjecture,
power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(129,plain,
power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))) = pls,
inference('REWRITE',[status(thm)],[128,91,theory(equality)]) ).
cnf(131,plain,
ord_less_int(pls,plus_plus_int(one_one_int,semiri1621563631at_int(n))),
inference('REWRITE',[status(thm)],[1,91,theory(equality)]) ).
cnf(156,plain,
bit1(pls) = one_one_int,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[113,90,theory(equality)]),94,theory(equality)]) ).
cnf(174,plain,
power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(one_one_int))) = pls,
inference('REWRITE',[status(thm)],[129,156,theory(equality)]) ).
cnf(277,plain,
ord_less_int(X,plus_plus_int(one_one_int,plus_plus_int(semiri1621563631at_int(n),X))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[41,131]),94,theory(equality)]) ).
cnf(291,plain,
plus_plus_int(one_one_int,semiri1621563631at_int(n)) = pls,
inference('HYPERRESOLVE',[status(thm)],[102,174]) ).
cnf(293,plain,
ord_less_int(X,X),
inference('REWRITE',[status(thm)],[277,94,291,theory(equality)]) ).
cnf(294,plain,
$false,
inference('REWRITE',[status(thm)],[38,293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM925+1 : TPTP v8.1.0. Released v5.3.0.
% 0.00/0.08 % Command : run-snark %s %d
% 0.07/0.26 % Computer : n014.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Tue Jul 5 06:50:38 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.11/0.35 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 *
% 0.11/0.35 *
% 0.11/0.36 #<PACKAGE "SNARK-USER">
% 0.11/0.36 *
% 0.11/0.36 SNARK-TPTP-OPTIONS
% 0.11/0.36 *
% 0.11/0.36 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.36 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.36 (USE-FACTORING :POS)
% 0.11/0.36 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.36 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.36 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.36 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.36 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.36 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.36 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.36 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.36 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.36 (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.36 *
% 0.11/0.36 "."
% 0.11/0.36 *
% 0.11/0.36 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T06:50:38
% 0.11/0.36 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-05T06:50:38
% 0.11/0.37
% 0.11/0.37 ; Recognized associativity assertion (= (|plus_plus_int| (|plus_plus_int| ?X ?Y) ?Z) (|plus_plus_int| ?X (|plus_plus_int| ?Y ?Z))).
% 0.11/0.37 ; Recognized commutativity assertion (= (|plus_plus_int| ?X ?Y) (|plus_plus_int| ?Y ?X)).
% 0.11/0.37 ; Recognized right identity assertion (= (|plus_plus_int| ?X |pls|) ?X).
% 0.11/0.37 ; Recognized left identity assertion (= (|plus_plus_int| |pls| ?X) ?X).
% 0.11/0.37 ; Recognized right identity assertion (= (|plus_plus_int| ?X |zero_zero_int|) ?X).
% 0.11/0.37 ; Recognized left identity assertion (= (|plus_plus_int| |zero_zero_int| ?X) ?X).
% 0.11/0.37 ; Declaring plus_plus_int to be commutative.
% 0.11/0.37 WARNING:
% 0.11/0.37 |ord_less_nat| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.44 ; Declaring plus_plus_int to be associative-commutative.
% 0.11/0.44
% 0.11/0.44 #||
% 0.11/0.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.44 % SZS output start Refutation
% See solution above
% 0.11/0.44 ||#
% 0.11/0.44
% 0.11/0.44 ; Summary of computation:
% 0.11/0.44 ; 1275 formulas have been input or derived (from 83 formulas).
% 0.11/0.44 ; 294 (23%) were retained. Of these,
% 0.11/0.44 ; 84 (29%) were simplified or subsumed later,
% 0.11/0.44 ; 210 (71%) are still being kept.
% 0.11/0.44 ;
% 0.11/0.44 ; Run time in seconds excluding printing time:
% 0.11/0.44 ; 0.008 10% Read assertion file (1 call)
% 0.11/0.44 ; 0.002 3% Assert (107 calls)
% 0.11/0.44 ; 0.015 19% Process new row (920 calls)
% 0.11/0.44 ; 0.005 6% Resolution (164 calls)
% 0.11/0.44 ; 0.008 10% Paramodulation (82 calls)
% 0.11/0.44 ; 0.000 0% Factoring (1 call)
% 0.11/0.44 ; 0.000 0% Embedding (24 calls)
% 0.11/0.44 ; 0.001 1% Condensing (196 calls)
% 0.11/0.44 ; 0.001 1% Forward subsumption (196 calls)
% 0.11/0.44 ; 0.001 1% Backward subsumption (134 calls)
% 0.11/0.44 ; 0.000 0% Clause clause subsumption (166 calls)
% 0.11/0.44 ; 0.014 18% Forward simplification (899 calls)
% 0.11/0.44 ; 0.002 3% Backward simplification (263 calls)
% 0.11/0.44 ; 0.001 1% Ordering (738 calls)
% 0.11/0.44 ; 0.003 4% Ordering ac (236 calls)
% 0.11/0.44 ; 0.000 0% Sortal reasoning (32 calls)
% 0.11/0.44 ; 0.000 0% Purity testing (1 call)
% 0.11/0.44 ; 0.016 21% Other
% 0.11/0.44 ; 0.077 Total
% 0.11/0.44 ; 0.079 Real time
% 0.11/0.44 ;
% 0.11/0.44 ; Term-hash-array has 463 terms in all.
% 0.11/0.44 ; Feature-vector-row-index has 101 entries (101 at peak, 134 added, 33 deleted).
% 0.11/0.44 ; Feature-vector-row-index has 354 nodes (354 at peak, 559 added, 205 deleted).
% 0.11/0.44 ; Retrieved 203 possibly forward subsuming rows in 196 calls.
% 0.11/0.44 ; Retrieved 28 possibly backward subsumed rows in 134 calls.
% 0.11/0.44 ; Path-index has 376 entries (385 at peak, 488 added, 112 deleted).
% 0.11/0.44 ; Path-index has 571 nodes (581 at peak, 668 added, 97 deleted).
% 0.11/0.44 ; Trie-index has 376 entries (385 at peak, 488 added, 112 deleted).
% 0.11/0.44 ; Trie-index has 521 nodes (535 at peak, 750 added, 229 deleted).
% 0.11/0.44 ; Retrieved 16,288 generalization terms in 5,260 calls.
% 0.11/0.44 ; Retrieved 256 instance terms in 135 calls.
% 0.11/0.44 ; Retrieved 4,649 unifiable terms in 584 calls.
% 0.11/0.44 ;
% 0.11/0.44 ; The agenda of backward simplifiable rows to process has 5 entries:
% 0.11/0.44 ; 5 with value 0
% 0.11/0.44 ; The agenda of rows to process has 15 entries:
% 0.11/0.44 ; 1 with value 14 4 with value 17 10 with value 18
% 0.11/0.44 ; The agenda of input rows to give has 20 entries:
% 0.11/0.44 ; 11 with value 15 2 with value 21 2 with value 26
% 0.11/0.44 ; 3 with value 19 2 with value 22
% 0.11/0.44 ; The agenda of rows to give has 113 entries:
% 0.11/0.44 ; 2 with value (4 5) 6 with value (4 12) 7 with value (4 18)
% 0.11/0.44 ; 8 with value (4 7) 4 with value (4 13) 5 with value (4 19)
% 0.11/0.44 ; 7 with value (4 8) 10 with value (4 14) 4 with value (4 20)
% 0.11/0.44 ; 5 with value (4 9) 11 with value (4 15) 2 with value (4 22)
% 0.11/0.44 ; 6 with value (4 10) 11 with value (4 16) 3 with value (4 23)
% 0.11/0.44 ; 12 with value (4 11) 10 with value (4 17)
% 0.11/0.44 Evaluation took:
% 0.11/0.44 0.079 seconds of real time
% 0.11/0.44 0.071822 seconds of user run time
% 0.11/0.44 0.007295 seconds of system run time
% 0.11/0.44 0 calls to %EVAL
% 0.11/0.44 0 page faults and
% 0.11/0.44 8,664,144 bytes consed.
% 0.11/0.44 :PROOF-FOUND
% 0.11/0.44 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T06:50:38
% 0.11/0.44 :PROOF-FOUND
% 0.11/0.44 *
%------------------------------------------------------------------------------