%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG038-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 0.40s 0.58s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 21 ( 3 equ; 14 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(additive_identity1,axiom,
sum(additive_identity,X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).
cnf(left_inverse,axiom,
sum(additive_inverse(X),X,additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',left_inverse) ).
cnf(associativity_of_addition1,axiom,
( ~ sum(X,Y,Z)
| ~ sum(Y,U,V)
| ~ sum(Z,U,W)
| sum(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_addition1) ).
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/Axioms/RNG001-0.ax',distributivity3) ).
cnf(addition_is_well_defined,axiom,
( ~ sum(X,Y,Z)
| ~ sum(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',addition_is_well_defined) ).
cnf(some_property,hypothesis,
( X != additive_identity
| product(X,h(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',some_property) ).
cnf(prove_b_is_additive_identity,negated_conjecture,
b != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_is_additive_identity) ).
cnf(20,plain,
~ sum(additive_identity,b,additive_identity),
inference('UR-RESOLVE',[status(thm)],[addition_is_well_defined,additive_identity1,prove_b_is_additive_identity]) ).
cnf(74,plain,
~ sum(b,X,X),
inference('UR-RESOLVE',[status(thm)],[associativity_of_addition1,20,left_inverse,left_inverse]) ).
cnf(87,plain,
~ product(additive_identity,X,b),
inference('UR-RESOLVE',[status(thm)],[distributivity3,74,additive_identity1]) ).
cnf(119,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[some_property,87,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG038-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon May 30 08:37:27 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T08:37:27
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-30T08:37:27
% 0.21/0.51
% 0.21/0.51 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.21/0.51 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.21/0.51 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.21/0.51 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.21/0.51 ; Recognized possible left inverse assertion (|sum| (|additive_inverse| ?X) ?X |additive_identity|).
% 0.21/0.51 ; Recognized possible right inverse assertion (|sum| ?X (|additive_inverse| ?X) |additive_identity|).
% 0.21/0.51 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.21/0.51 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.21/0.51 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.21/0.51 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.21/0.51 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.21/0.51 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 0.21/0.51 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.21/0.51 ; Declaring sum to be commutative.
% 0.21/0.51 ; Declaring add to be commutative.
% 0.40/0.58 ; Declaring add to be associative-commutative.
% 0.40/0.58
% 0.40/0.58 #||
% 0.40/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.58 % SZS output start Refutation
% See solution above
% 0.40/0.58 ||#
% 0.40/0.58
% 0.40/0.58 ; Summary of computation:
% 0.40/0.58 ; 1164 formulas have been input or derived (from 32 formulas).
% 0.40/0.58 ; 119 (10%) were retained. Of these,
% 0.40/0.58 ; 8 ( 7%) were simplified or subsumed later,
% 0.40/0.58 ; 111 (93%) are still being kept.
% 0.40/0.58 ;
% 0.40/0.58 ; Run time in seconds:
% 0.40/0.58 ; 0.005 5% Read assertion file (1 call)
% 0.40/0.58 ; 0.001 1% Assert (21 calls)
% 0.40/0.58 ; 0.011 12% Process new row (810 calls)
% 0.40/0.58 ; 0.036 38% Resolution (62 calls)
% 0.40/0.58 ; 0.000 0% Paramodulation (31 calls)
% 0.40/0.58 ; 0.000 0% Embedding (2 calls)
% 0.40/0.58 ; 0.002 2% Condensing (11 calls)
% 0.40/0.58 ; 0.001 1% Forward subsumption (11 calls)
% 0.40/0.58 ; 0.000 0% Backward subsumption (10 calls)
% 0.40/0.58 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.40/0.58 ; 0.012 13% Forward simplification (749 calls)
% 0.40/0.58 ; 0.001 1% Backward simplification (118 calls)
% 0.40/0.58 ; 0.000 0% Ordering (22 calls)
% 0.40/0.58 ; 0.001 1% Sortal reasoning (32 calls)
% 0.40/0.58 ; 0.000 0% Purity testing (1 call)
% 0.40/0.58 ; 0.024 26% Other
% 0.40/0.58 ; 0.094 Total
% 0.40/0.58 ; 0.095 Real time
% 0.40/0.58 ;
% 0.40/0.58 ; Term-hash-array has 197 terms in all.
% 0.40/0.58 ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.40/0.59 ; Feature-vector-row-index has 17 nodes (17 at peak, 17 added, 0 deleted).
% 0.40/0.59 ; Retrieved 4 possibly forward subsuming rows in 11 calls.
% 0.40/0.59 ; Retrieved 3 possibly backward subsumed rows in 10 calls.
% 0.40/0.59 ; Path-index has 192 entries (192 at peak, 200 added, 8 deleted).
% 0.40/0.59 ; Path-index has 245 nodes (245 at peak, 245 added, 0 deleted).
% 0.40/0.59 ; Trie-index has 192 entries (192 at peak, 200 added, 8 deleted).
% 0.40/0.59 ; Trie-index has 351 nodes (351 at peak, 359 added, 8 deleted).
% 0.40/0.59 ; Retrieved 1,906 generalization terms in 1,802 calls.
% 0.40/0.59 ; Retrieved 121 instance terms in 107 calls.
% 0.40/0.59 ; Retrieved 19,511 unifiable terms in 2,393 calls.
% 0.40/0.59 ;
% 0.40/0.59 ; The agenda of rows to process has 11 entries:
% 0.40/0.59 ; 1 with value 8 3 with value 12 2 with value 16
% 0.40/0.59 ; 1 with value 11 4 with value 14
% 0.40/0.59 ; The agenda of rows to give has 81 entries:
% 0.40/0.59 ; 3 with value (4 8) 11 with value (4 11) 7 with value (4 14)
% 0.40/0.59 ; 7 with value (4 9) 12 with value (4 12) 4 with value (4 15)
% 0.40/0.59 ; 17 with value (4 10) 14 with value (4 13) 6 with value (4 16)
% 0.40/0.59 Evaluation took:
% 0.40/0.59 0.095 seconds of real time
% 0.40/0.59 0.085093 seconds of user run time
% 0.40/0.59 0.010044 seconds of system run time
% 0.40/0.59 0 calls to %EVAL
% 0.40/0.59 0 page faults and
% 0.40/0.59 5,032,168 bytes consed.
% 0.40/0.59 :PROOF-FOUND
% 0.40/0.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T08:37:27
% 0.40/0.59 :PROOF-FOUND
% 0.40/0.59 *
%------------------------------------------------------------------------------