%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG005-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 20:40:31 EDT 2022
% Result : Unsatisfiable 0.39s 0.60s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 6
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 11 ( 0 equ; 5 neg)
% Maximal clause size : 5 ( 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 : 9 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_inverse,axiom,
sum(additive_inverse(X),X,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
cnf(distributivity3,axiom,
( ~ product(X,Y,Z)
| ~ product(U,Y,V)
| ~ sum(X,U,W)
| ~ product(W,Y,X1)
| sum(Z,V,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3) ).
cnf(multiplicative_identity1,axiom,
product(additive_identity,X,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).
cnf(a_times_b,hypothesis,
product(a,b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
cnf(a_inverse_times_b,hypothesis,
product(additive_inverse(a),b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_inverse_times_b) ).
cnf(prove_sum_is_additive_identity,negated_conjecture,
~ sum(c,d,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sum_is_additive_identity) ).
cnf(291,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[distributivity3,a_inverse_times_b,a_times_b,left_inverse,multiplicative_identity1,prove_sum_is_additive_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG005-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon May 30 17:53:05 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T17:53:05
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-05-30T17:53:05
% 0.20/0.49
% 0.20/0.49 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.20/0.49 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.20/0.49 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.20/0.49 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.20/0.49 ; Recognized possible left inverse assertion (|sum| (|additive_inverse| ?X) ?X |additive_identity|).
% 0.20/0.49 ; Recognized possible right inverse assertion (|sum| ?X (|additive_inverse| ?X) |additive_identity|).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.20/0.49 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.39/0.60 ; Declaring sum to be commutative.
% 0.39/0.60
% 0.39/0.60 #||
% 0.39/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.60 % SZS output start Refutation
% See solution above
% 0.39/0.60 ||#
% 0.39/0.60
% 0.39/0.60 ; Summary of computation:
% 0.39/0.60 ; 1611 formulas have been input or derived (from 26 formulas).
% 0.39/0.60 ; 291 (18%) were retained. Of these,
% 0.39/0.60 ; 10 ( 3%) were simplified or subsumed later,
% 0.39/0.60 ; 281 (97%) are still being kept.
% 0.39/0.60 ;
% 0.39/0.60 ; Run time in seconds excluding printing time:
% 0.39/0.60 ; 0.006 5% Read assertion file (1 call)
% 0.39/0.60 ; 0.002 2% Assert (31 calls)
% 0.39/0.60 ; 0.023 19% Process new row (1,057 calls)
% 0.39/0.60 ; 0.049 40% Resolution (50 calls)
% 0.39/0.60 ; 0.000 0% Paramodulation (25 calls)
% 0.39/0.60 ; 0.001 1% Condensing (19 calls)
% 0.39/0.60 ; 0.000 0% Forward subsumption (19 calls)
% 0.39/0.60 ; 0.000 0% Backward subsumption (17 calls)
% 0.39/0.60 ; 0.002 2% Clause clause subsumption (16 calls)
% 0.39/0.60 ; 0.009 7% Forward simplification (1,057 calls)
% 0.39/0.60 ; 0.001 1% Backward simplification (291 calls)
% 0.39/0.60 ; 0.001 1% Sortal reasoning (32 calls)
% 0.39/0.60 ; 0.000 0% Purity testing (1 call)
% 0.39/0.60 ; 0.028 23% Other
% 0.39/0.60 ; 0.122 Total
% 0.39/0.60 ; 0.123 Real time
% 0.39/0.60 ;
% 0.39/0.60 ; Term-hash-array has 475 terms in all.
% 0.39/0.60 ; Feature-vector-row-index has 17 entries (17 at peak, 17 added, 0 deleted).
% 0.39/0.60 ; Feature-vector-row-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.39/0.60 ; Retrieved 9 possibly forward subsuming rows in 19 calls.
% 0.39/0.60 ; Retrieved 7 possibly backward subsumed rows in 17 calls.
% 0.39/0.60 ; Path-index has 468 entries (468 at peak, 482 added, 14 deleted).
% 0.39/0.60 ; Path-index has 483 nodes (483 at peak, 488 added, 5 deleted).
% 0.39/0.60 ; Trie-index has 468 entries (468 at peak, 482 added, 14 deleted).
% 0.39/0.60 ; Trie-index has 1,281 nodes (1,281 at peak, 1,315 added, 34 deleted).
% 0.39/0.60 ; Retrieved 1,058 generalization terms in 1,079 calls.
% 0.39/0.60 ; Retrieved 344 instance terms in 273 calls.
% 0.39/0.60 ; Retrieved 65,295 unifiable terms in 3,124 calls.
% 0.39/0.60 ;
% 0.39/0.60 ; The agenda of rows to process has 276 entries:
% 0.39/0.60 ; 17 with value 6 66 with value 11 40 with value 14
% 0.39/0.60 ; 4 with value 8 20 with value 12 6 with value 15
% 0.39/0.60 ; 76 with value 9 38 with value 13 8 with value 16
% 0.39/0.60 ; 1 with value 10
% 0.39/0.60 ; The agenda of input rows to give has 1 entry:
% 0.39/0.60 ; 1 with value 25
% 0.39/0.60 ; The agenda of rows to give has 254 entries:
% 0.39/0.60 ; 1 with value (4 5) 19 with value (4 10) 45 with value (4 14)
% 0.39/0.60 ; 4 with value (4 7) 48 with value (4 11) 4 with value (4 15)
% 0.39/0.60 ; 20 with value (4 8) 42 with value (4 12) 9 with value (4 16)
% 0.39/0.60 ; 39 with value (4 9) 19 with value (4 13) 4 with value (4 17)
% 0.39/0.60 Evaluation took:
% 0.39/0.60 0.123 seconds of real time
% 0.39/0.60 0.107738 seconds of user run time
% 0.39/0.60 0.015986 seconds of system run time
% 0.39/0.60 0 calls to %EVAL
% 0.39/0.60 0 page faults and
% 0.39/0.60 6,113,088 bytes consed.
% 0.39/0.60 :PROOF-FOUND
% 0.39/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T17:53:05
% 0.39/0.60 :PROOF-FOUND
% 0.39/0.60 *
%------------------------------------------------------------------------------