%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD068-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 02:27:20 EDT 2022
% Result : Unsatisfiable 2.95s 3.17s
% Output : Refutation 2.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 22 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_addition_1,axiom,
( sum(X,Y,Z)
| ~ sum(X,U,V)
| ~ sum(U,W,Y)
| ~ sum(V,W,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(existence_of_inverse_addition,axiom,
( sum(additive_inverse(X),X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( less_or_equal(X,Y)
| ~ less_or_equal(Z,U)
| ~ sum(Z,V,X)
| ~ sum(U,V,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(sum_4,negated_conjecture,
sum(b,additive_inverse(a),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_4) ).
cnf(less_or_equal_5,negated_conjecture,
less_or_equal(additive_identity,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_5) ).
cnf(not_less_or_equal_6,negated_conjecture,
~ less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_6) ).
cnf(30,plain,
sum(additive_identity,b,b),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,b_is_defined]) ).
cnf(31,plain,
sum(additive_identity,a,a),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,a_is_defined]) ).
cnf(46,plain,
sum(additive_inverse(a),a,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,a_is_defined]) ).
cnf(172,plain,
~ sum(u,a,b),
inference('UR-RESOLVE',[status(thm)],[compatibility_of_order_relation_and_addition,31,not_less_or_equal_6,less_or_equal_5]) ).
cnf(17175,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,172,sum_4,30]),46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : FLD068-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 6 18:08:33 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T18:08:33
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-06T18:08:33
% 0.22/0.52
% 0.22/0.52 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.22/0.52 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.22/0.52 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.22/0.52 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.22/0.52 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.22/0.52 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.22/0.52 ; Declaring sum to be commutative.
% 2.95/3.17 ; Declaring product to be commutative.
% 2.95/3.17
% 2.95/3.17 #||
% 2.95/3.17 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.95/3.17 % SZS output start Refutation
% See solution above
% 2.95/3.17 ||#
% 2.95/3.17
% 2.95/3.17 ; Summary of computation:
% 2.95/3.17 ; 35029 formulas have been input or derived (from 103 formulas).
% 2.95/3.17 ; 17175 (49%) were retained. Of these,
% 2.95/3.17 ; 2 ( 0%) were simplified or subsumed later,
% 2.95/3.17 ; 17173 (100%) are still being kept.
% 2.95/3.17 ;
% 2.95/3.17 ; Run time in seconds excluding printing time:
% 2.95/3.17 ; 0.006 0% Read assertion file (1 call)
% 2.95/3.17 ; 0.002 0% Assert (32 calls)
% 2.95/3.17 ; 0.904 34% Process new row (34,797 calls)
% 2.95/3.17 ; 0.871 33% Resolution (204 calls)
% 2.95/3.17 ; 0.004 0% Paramodulation (102 calls)
% 2.95/3.17 ; 0.009 0% Condensing (3,794 calls)
% 2.95/3.17 ; 0.161 6% Forward subsumption (3,794 calls)
% 2.95/3.17 ; 0.048 2% Backward subsumption (1,965 calls)
% 2.95/3.17 ; 0.015 1% Clause clause subsumption (14,046 calls)
% 2.95/3.17 ; 0.278 10% Forward simplification (34,797 calls)
% 2.95/3.17 ; 0.243 9% Backward simplification (17,175 calls)
% 2.95/3.17 ; 0.001 0% Ordering (144 calls)
% 2.95/3.17 ; 0.000 0% Sortal reasoning (32 calls)
% 2.95/3.17 ; 0.000 0% Purity testing (1 call)
% 2.95/3.17 ; 0.127 5% Other
% 2.95/3.17 ; 2.669 Total
% 2.95/3.17 ; 2.671 Real time
% 2.95/3.17 ;
% 2.95/3.17 ; Term-hash-array has 26,646 terms in all.
% 2.95/3.17 ; Feature-vector-row-index has 1,963 entries (1,963 at peak, 1,965 added, 2 deleted).
% 2.95/3.17 ; Feature-vector-row-index has 1,362 nodes (1,362 at peak, 1,374 added, 12 deleted).
% 2.95/3.17 ; Retrieved 32,558 possibly forward subsuming rows in 3,794 calls.
% 2.95/3.17 ; Retrieved 14,743 possibly backward subsumed rows in 1,965 calls.
% 2.95/3.17 ; Path-index has 26,651 entries (26,651 at peak, 26,654 added, 3 deleted).
% 2.95/3.17 ; Path-index has 966 nodes (966 at peak, 969 added, 3 deleted).
% 2.95/3.17 ; Trie-index has 26,651 entries (26,651 at peak, 26,654 added, 3 deleted).
% 2.95/3.17 ; Trie-index has 74,760 nodes (74,760 at peak, 74,764 added, 4 deleted).
% 2.95/3.17 ; Retrieved 15,794 generalization terms in 38,564 calls.
% 2.95/3.17 ; Retrieved 15,211 instance terms in 15,209 calls.
% 2.95/3.17 ; Retrieved 2,770,474 unifiable terms in 4,355 calls.
% 2.95/3.17 ;
% 2.95/3.17 ; The agenda of rows to give has 17070 entries:
% 2.95/3.17 ; 4 with value (4 7) 1306 with value (4 12) 1200 with value (4 17)
% 2.95/3.17 ; 8 with value (4 8) 5123 with value (4 13) 350 with value (4 18)
% 2.95/3.17 ; 70 with value (4 9) 80 with value (4 14) 5005 with value (4 19)
% 2.95/3.17 ; 182 with value (4 10) 1072 with value (4 15) 1225 with value (4 20)
% 2.95/3.17 ; 1125 with value (4 11) 270 with value (4 16) 50 with value (4 22)
% 2.95/3.17 Evaluation took:
% 2.95/3.17 2.673 seconds of real time
% 2.95/3.17 2.495494 seconds of user run time
% 2.95/3.17 0.176993 seconds of system run time
% 2.95/3.17 [Run times include 0.384 seconds GC run time.]
% 2.95/3.17 0 calls to %EVAL
% 2.95/3.17 0 page faults and
% 2.95/3.17 187,980,512 bytes consed.
% 2.95/3.17 :PROOF-FOUND
% 2.95/3.17 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T18:08:36
% 2.95/3.17 :PROOF-FOUND
% 2.95/3.17 *
%------------------------------------------------------------------------------