%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG001-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 20:40:30 EDT 2022
% Result : Unsatisfiable 0.49s 0.64s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 22 ( 0 equ; 13 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(additive_identity1,axiom,
sum(additive_identity,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
cnf(additive_inverse1,axiom,
sum(additive_inverse(X),X,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).
cnf(associativity_of_addition2,axiom,
( ~ sum(X,Y,Z)
| ~ sum(Y,U,V)
| ~ sum(X,V,W)
| sum(Z,U,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition2) ).
cnf(closure_of_multiplication,axiom,
product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
cnf(distributivity1,axiom,
( ~ product(X,Y,Z)
| ~ product(X,U,V)
| ~ sum(Y,U,W)
| ~ product(X,W,X1)
| sum(Z,V,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
cnf(distributivity2,axiom,
( ~ product(X,Y,Z)
| ~ product(X,U,V)
| ~ sum(Y,U,W)
| ~ sum(Z,V,X1)
| product(X,W,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
cnf(prove_a_times_additive_id_is_additive_id,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_times_additive_id_is_additive_id) ).
cnf(11,plain,
sum(multiply(X,additive_identity),multiply(X,Y),multiply(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[distributivity1,closure_of_multiplication,closure_of_multiplication,additive_identity1,closure_of_multiplication]) ).
cnf(14,plain,
~ sum(multiply(a,additive_identity),multiply(a,additive_identity),additive_identity),
inference('UR-RESOLVE',[status(thm)],[distributivity2,closure_of_multiplication,closure_of_multiplication,additive_identity1,prove_a_times_additive_id_is_additive_id]) ).
cnf(184,plain,
sum(additive_identity,multiply(X,additive_identity),additive_identity),
inference('HYPERRESOLVE',[status(thm)],[associativity_of_addition2,11,additive_inverse1,additive_inverse1]) ).
cnf(185,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_of_addition2,11,additive_identity1,14]),184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG001-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon May 30 10:24:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T10:24:12
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-05-30T10:24:12
% 0.20/0.48
% 0.20/0.48 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.20/0.48 ; Recognized possible left inverse assertion (|sum| (|additive_inverse| ?X) ?X |additive_identity|).
% 0.20/0.48 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.20/0.48 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.49/0.64 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.49/0.64
% 0.49/0.64 #||
% 0.49/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.64 % SZS output start Refutation
% See solution above
% 0.49/0.64 ||#
% 0.49/0.64
% 0.49/0.64 ; Summary of computation:
% 0.49/0.64 ; 5960 formulas have been input or derived (from 30 formulas).
% 0.49/0.64 ; 185 ( 3%) were retained. Of these,
% 0.49/0.64 ; 13 ( 7%) were simplified or subsumed later,
% 0.49/0.64 ; 172 (93%) are still being kept.
% 0.49/0.64 ;
% 0.49/0.64 ; Run time in seconds excluding printing time:
% 0.49/0.64 ; 0.002 1% Read assertion file (1 call)
% 0.49/0.64 ; 0.001 1% Assert (8 calls)
% 0.49/0.64 ; 0.026 15% Process new row (4,063 calls)
% 0.49/0.64 ; 0.091 53% Resolution (58 calls)
% 0.49/0.64 ; 0.000 0% Paramodulation (29 calls)
% 0.49/0.64 ; 0.000 0% Condensing (4 calls)
% 0.49/0.64 ; 0.000 0% Forward subsumption (4 calls)
% 0.49/0.64 ; 0.000 0% Backward subsumption (4 calls)
% 0.49/0.64 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.49/0.64 ; 0.012 7% Forward simplification (4,050 calls)
% 0.49/0.64 ; 0.000 0% Backward simplification (185 calls)
% 0.49/0.64 ; 0.001 1% Sortal reasoning (32 calls)
% 0.49/0.64 ; 0.000 0% Purity testing (1 call)
% 0.49/0.64 ; 0.039 23% Other
% 0.49/0.64 ; 0.172 Total
% 0.49/0.64 ; 0.174 Real time
% 0.49/0.64 ;
% 0.49/0.64 ; Term-hash-array has 223 terms in all.
% 0.49/0.64 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.49/0.64 ; Feature-vector-row-index has 9 nodes (9 at peak, 9 added, 0 deleted).
% 0.49/0.64 ; Retrieved 1 possibly forward subsuming row in 4 calls.
% 0.49/0.64 ; Retrieved 1 possibly backward subsumed row in 4 calls.
% 0.49/0.64 ; Path-index has 212 entries (212 at peak, 228 added, 16 deleted).
% 0.49/0.64 ; Path-index has 238 nodes (238 at peak, 247 added, 9 deleted).
% 0.49/0.64 ; Trie-index has 212 entries (212 at peak, 228 added, 16 deleted).
% 0.49/0.64 ; Trie-index has 686 nodes (686 at peak, 732 added, 46 deleted).
% 0.49/0.64 ; Retrieved 5,473 generalization terms in 4,073 calls.
% 0.49/0.64 ; Retrieved 205 instance terms in 180 calls.
% 0.49/0.64 ; Retrieved 69,886 unifiable terms in 6,907 calls.
% 0.49/0.64 ;
% 0.49/0.64 ; The agenda of rows to process has 105 entries:
% 0.49/0.64 ; 2 with value 10 15 with value 14 6 with value 18
% 0.49/0.64 ; 6 with value 11 14 with value 15 12 with value 20
% 0.49/0.64 ; 3 with value 12 12 with value 16 6 with value 21
% 0.49/0.64 ; 19 with value 13 4 with value 17 6 with value 22
% 0.49/0.64 ; The agenda of rows to give has 143 entries:
% 0.49/0.64 ; 1 with value (4 10) 16 with value (4 16) 15 with value (4 20)
% 0.49/0.64 ; 12 with value (4 13) 20 with value (4 17) 10 with value (4 21)
% 0.49/0.64 ; 11 with value (4 14) 23 with value (4 18) 2 with value (4 22)
% 0.49/0.64 ; 13 with value (4 15) 19 with value (4 19) 1 with value (4 23)
% 0.49/0.64 Evaluation took:
% 0.49/0.64 0.174 seconds of real time
% 0.49/0.64 0.149088 seconds of user run time
% 0.49/0.64 0.024767 seconds of system run time
% 0.49/0.64 0 calls to %EVAL
% 0.49/0.64 0 page faults and
% 0.49/0.64 10,658,792 bytes consed.
% 0.49/0.64 :PROOF-FOUND
% 0.49/0.64 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T10:24:12
% 0.49/0.64 :PROOF-FOUND
% 0.49/0.64 *
%------------------------------------------------------------------------------