%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG037-2 : 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 20:40:38 EDT 2022
% Result : Unsatisfiable 0.38s 0.55s
% Output : Refutation 0.38s
% 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(additive_inverse2,axiom,
sum(X,additive_inverse(X),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse2) ).
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/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
cnf(multiplicative_identity2,axiom,
product(X,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity2) ).
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(a,additive_inverse(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(176,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[distributivity1,a_inverse_times_b,a_times_b,additive_inverse2,multiplicative_identity2,prove_sum_is_additive_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG037-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 22:11:20 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 2022-05-30T22:11:20
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-05-30T22:11:20
% 0.19/0.48
% 0.19/0.48 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.19/0.48 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.19/0.48 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.19/0.48 ; Recognized possible right inverse assertion (|sum| ?X (|additive_inverse| ?X) |additive_identity|).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.19/0.48 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.38/0.55 ; Declaring sum to be commutative.
% 0.38/0.55
% 0.38/0.55 #||
% 0.38/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.55 % SZS output start Refutation
% See solution above
% 0.38/0.55 ||#
% 0.38/0.55
% 0.38/0.55 ; Summary of computation:
% 0.38/0.55 ; 939 formulas have been input or derived (from 24 formulas).
% 0.38/0.55 ; 176 (19%) were retained. Of these,
% 0.38/0.55 ; 5 ( 3%) were simplified or subsumed later,
% 0.38/0.55 ; 171 (97%) are still being kept.
% 0.38/0.55 ;
% 0.38/0.55 ; Run time in seconds excluding printing time:
% 0.38/0.55 ; 0.006 7% Read assertion file (1 call)
% 0.38/0.55 ; 0.000 0% Assert (29 calls)
% 0.38/0.55 ; 0.012 14% Process new row (493 calls)
% 0.38/0.55 ; 0.027 33% Resolution (46 calls)
% 0.38/0.55 ; 0.001 1% Paramodulation (23 calls)
% 0.38/0.55 ; 0.002 2% Condensing (19 calls)
% 0.38/0.55 ; 0.000 0% Forward subsumption (19 calls)
% 0.38/0.55 ; 0.000 0% Backward subsumption (17 calls)
% 0.38/0.55 ; 0.001 1% Clause clause subsumption (16 calls)
% 0.38/0.55 ; 0.008 10% Forward simplification (493 calls)
% 0.38/0.55 ; 0.001 1% Backward simplification (176 calls)
% 0.38/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.55 ; 0.000 0% Purity testing (1 call)
% 0.38/0.55 ; 0.025 30% Other
% 0.38/0.55 ; 0.083 Total
% 0.38/0.55 ; 0.085 Real time
% 0.38/0.55 ;
% 0.38/0.55 ; Term-hash-array has 302 terms in all.
% 0.38/0.55 ; Feature-vector-row-index has 17 entries (17 at peak, 17 added, 0 deleted).
% 0.38/0.55 ; Feature-vector-row-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.38/0.55 ; Retrieved 9 possibly forward subsuming rows in 19 calls.
% 0.38/0.55 ; Retrieved 7 possibly backward subsumed rows in 17 calls.
% 0.38/0.55 ; Path-index has 299 entries (299 at peak, 307 added, 8 deleted).
% 0.38/0.55 ; Path-index has 355 nodes (355 at peak, 359 added, 4 deleted).
% 0.38/0.55 ; Trie-index has 299 entries (299 at peak, 307 added, 8 deleted).
% 0.38/0.55 ; Trie-index has 702 nodes (702 at peak, 721 added, 19 deleted).
% 0.38/0.55 ; Retrieved 550 generalization terms in 512 calls.
% 0.38/0.55 ; Retrieved 196 instance terms in 158 calls.
% 0.38/0.55 ; Retrieved 21,467 unifiable terms in 1,646 calls.
% 0.38/0.55 ;
% 0.38/0.55 ; The agenda of rows to process has 282 entries:
% 0.38/0.55 ; 19 with value 6 66 with value 11 40 with value 14
% 0.38/0.55 ; 4 with value 8 22 with value 12 6 with value 15
% 0.38/0.55 ; 78 with value 9 38 with value 13 8 with value 16
% 0.38/0.55 ; 1 with value 10
% 0.38/0.55 ; The agenda of input rows to give has 3 entries:
% 0.38/0.55 ; 3 with value 25
% 0.38/0.55 ; The agenda of rows to give has 144 entries:
% 0.38/0.55 ; 1 with value (4 5) 24 with value (4 9) 24 with value (4 12)
% 0.38/0.55 ; 4 with value (4 7) 15 with value (4 10) 12 with value (4 13)
% 0.38/0.55 ; 19 with value (4 8) 26 with value (4 11) 19 with value (4 14)
% 0.38/0.55 Evaluation took:
% 0.38/0.55 0.085 seconds of real time
% 0.38/0.55 0.076908 seconds of user run time
% 0.38/0.55 0.008052 seconds of system run time
% 0.38/0.55 0 calls to %EVAL
% 0.38/0.55 0 page faults and
% 0.38/0.55 4,040,928 bytes consed.
% 0.38/0.55 :PROOF-FOUND
% 0.38/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T22:11:20
% 0.38/0.55 :PROOF-FOUND
% 0.38/0.55 *
%------------------------------------------------------------------------------