%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD016-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 02:27:00 EDT 2022
% Result : Unsatisfiable 6.15s 6.37s
% Output : Refutation 6.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 17 ( 0 equ; 6 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 8 ( 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(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(v_is_defined,hypothesis,
defined(v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_is_defined) ).
cnf(sum_5,negated_conjecture,
sum(a,u,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_5) ).
cnf(sum_6,negated_conjecture,
sum(a,v,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).
cnf(not_sum_7,negated_conjecture,
~ sum(additive_identity,u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_7) ).
cnf(30,plain,
sum(additive_identity,v,v),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,v_is_defined]) ).
cnf(51,plain,
sum(additive_inverse(a),a,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,a_is_defined]) ).
cnf(33115,plain,
sum(additive_inverse(a),b,v),
inference('HYPERRESOLVE',[status(thm)],[associativity_addition_1,51,sum_6,30]) ).
cnf(33117,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,51,not_sum_7,sum_5]),33115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD016-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 6 20:58:55 EDT 2022
% 0.12/0.34 % 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 2022-06-06T20:58:55
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-06T20:58:55
% 0.19/0.48
% 0.19/0.48 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.19/0.48 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.19/0.49 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.19/0.49 ; Declaring sum to be commutative.
% 6.15/6.37 ; Declaring product to be commutative.
% 6.15/6.37
% 6.15/6.37 #||
% 6.15/6.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.15/6.37 % SZS output start Refutation
% See solution above
% 6.15/6.37 ||#
% 6.15/6.37
% 6.15/6.37 ; Summary of computation:
% 6.15/6.37 ; 67295 formulas have been input or derived (from 137 formulas).
% 6.15/6.37 ; 33117 (49%) were retained. Of these,
% 6.15/6.37 ; 2 ( 0%) were simplified or subsumed later,
% 6.15/6.37 ; 33115 (100%) are still being kept.
% 6.15/6.37 ;
% 6.15/6.37 ; Run time in seconds excluding printing time:
% 6.15/6.37 ; 0.006 0% Read assertion file (1 call)
% 6.15/6.37 ; 0.002 0% Assert (33 calls)
% 6.15/6.37 ; 1.990 34% Process new row (66,938 calls)
% 6.15/6.37 ; 2.166 37% Resolution (272 calls)
% 6.15/6.37 ; 0.002 0% Paramodulation (136 calls)
% 6.15/6.37 ; 0.008 0% Condensing (7,326 calls)
% 6.15/6.37 ; 0.314 5% Forward subsumption (7,326 calls)
% 6.15/6.37 ; 0.167 3% Backward subsumption (3,755 calls)
% 6.15/6.37 ; 0.032 1% Clause clause subsumption (31,490 calls)
% 6.15/6.37 ; 0.397 7% Forward simplification (66,938 calls)
% 6.15/6.37 ; 0.605 10% Backward simplification (33,117 calls)
% 6.15/6.37 ; 0.001 0% Ordering (1,626 calls)
% 6.15/6.37 ; 0.002 0% Sortal reasoning (32 calls)
% 6.15/6.37 ; 0.000 0% Purity testing (1 call)
% 6.15/6.37 ; 0.212 4% Other
% 6.15/6.37 ; 5.904 Total
% 6.15/6.37 ; 5.905 Real time
% 6.15/6.37 ;
% 6.15/6.37 ; Term-hash-array has 51,410 terms in all.
% 6.15/6.37 ; Feature-vector-row-index has 3,753 entries (3,753 at peak, 3,755 added, 2 deleted).
% 6.15/6.37 ; Feature-vector-row-index has 2,315 nodes (2,315 at peak, 2,327 added, 12 deleted).
% 6.15/6.37 ; Retrieved 67,338 possibly forward subsuming rows in 7,326 calls.
% 6.15/6.37 ; Retrieved 30,748 possibly backward subsumed rows in 3,755 calls.
% 6.15/6.37 ; Path-index has 51,416 entries (51,416 at peak, 51,419 added, 3 deleted).
% 6.15/6.37 ; Path-index has 1,107 nodes (1,107 at peak, 1,110 added, 3 deleted).
% 6.15/6.37 ; Trie-index has 51,416 entries (51,416 at peak, 51,419 added, 3 deleted).
% 6.15/6.37 ; Trie-index has 143,083 nodes (143,083 at peak, 143,087 added, 4 deleted).
% 6.15/6.37 ; Retrieved 30,249 generalization terms in 74,233 calls.
% 6.15/6.37 ; Retrieved 29,364 instance terms in 29,361 calls.
% 6.15/6.37 ; Retrieved 7,599,138 unifiable terms in 7,447 calls.
% 6.15/6.37 ;
% 6.15/6.37 ; The agenda of rows to process has 3 entries:
% 6.15/6.37 ; 2 with value 10 1 with value 11
% 6.15/6.37 ; The agenda of rows to give has 32978 entries:
% 6.15/6.37 ; 8 with value (4 8) 10540 with value (4 13) 576 with value (4 18)
% 6.15/6.37 ; 111 with value (4 9) 114 with value (4 14) 10374 with value (4 19)
% 6.15/6.37 ; 254 with value (4 10) 1826 with value (4 15) 2556 with value (4 20)
% 6.15/6.37 ; 1905 with value (4 11) 459 with value (4 16) 72 with value (4 22)
% 6.15/6.37 ; 2167 with value (4 12) 2016 with value (4 17)
% 6.15/6.37 Evaluation took:
% 6.15/6.37 5.907 seconds of real time
% 6.15/6.37 5.464933 seconds of user run time
% 6.15/6.37 0.442086 seconds of system run time
% 6.15/6.37 [Run times include 1.006 seconds GC run time.]
% 6.15/6.37 0 calls to %EVAL
% 6.15/6.37 0 page faults and
% 6.15/6.37 392,742,656 bytes consed.
% 6.15/6.37 :PROOF-FOUND
% 6.15/6.37 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T20:59:01
% 6.15/6.38 :PROOF-FOUND
% 6.15/6.38 *
%------------------------------------------------------------------------------