TSTP Solution File: RNG001-5 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG001-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 31.95s 32.13s
% Output : Refutation 31.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 9 RR)
% Number of literals : 23 ( 0 equ; 15 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(product_substitution3,axiom,
( ~ equalish(X,Y)
| ~ product(Z,U,X)
| product(Z,U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution3) ).
cnf(additive_identity1,axiom,
sum(additive_identity,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
cnf(closure_of_multiplication,axiom,
product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
cnf(left_inverse,axiom,
sum(additive_inverse(X),X,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',associativity_of_addition1) ).
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(addition_is_well_defined,axiom,
( ~ sum(X,Y,Z)
| ~ sum(X,Y,U)
| equalish(Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
cnf(prove_multiplicative_identity_axiom,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_multiplicative_identity_axiom) ).
cnf(25,plain,
~ equalish(multiply(a,additive_identity),additive_identity),
inference('UR-RESOLVE',[status(thm)],[product_substitution3,closure_of_multiplication,prove_multiplicative_identity_axiom]) ).
cnf(143,plain,
~ sum(additive_identity,multiply(a,additive_identity),additive_identity),
inference('UR-RESOLVE',[status(thm)],[addition_is_well_defined,25,additive_identity1]) ).
cnf(2327,plain,
~ sum(multiply(a,additive_identity),X,X),
inference('UR-RESOLVE',[status(thm)],[associativity_of_addition1,143,left_inverse,left_inverse]) ).
cnf(15305,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[distributivity1,2327,closure_of_multiplication,closure_of_multiplication,additive_identity1,closure_of_multiplication]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG001-5 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 15:52:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 *
% 0.19/0.48 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T15:52:25
% 0.19/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-30T15:52:25
% 0.19/0.50
% 0.19/0.50 ; Recognized commutativity assertion (OR (NOT (|equalish| ?X ?Y)) (|equalish| ?Y ?X)).
% 0.19/0.50 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.19/0.50 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.19/0.50 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.19/0.50 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.19/0.50 ; Recognized possible left inverse assertion (|sum| (|additive_inverse| ?X) ?X |additive_identity|).
% 0.19/0.50 ; Recognized possible right inverse assertion (|sum| ?X (|additive_inverse| ?X) |additive_identity|).
% 0.19/0.50 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.19/0.50 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.19/0.50 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.19/0.50 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.19/0.50 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.19/0.50 ; Declaring equalish to be commutative.
% 31.95/32.13 ; Declaring sum to be commutative.
% 31.95/32.13
% 31.95/32.13 #||
% 31.95/32.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.95/32.13 % SZS output start Refutation
% See solution above
% 31.99/32.17 ||#
% 31.99/32.17
% 31.99/32.17 ; Summary of computation:
% 31.99/32.17 ; 179364 formulas have been input or derived (from 79 formulas).
% 31.99/32.17 ; 15305 ( 9%) were retained. Of these,
% 31.99/32.17 ; 1025 ( 7%) were simplified or subsumed later,
% 31.99/32.17 ; 14280 (93%) are still being kept.
% 31.99/32.17 ;
% 31.99/32.17 ; Run time in seconds excluding printing time:
% 31.99/32.17 ; 0.007 0% Read assertion file (1 call)
% 31.99/32.17 ; 0.001 0% Assert (30 calls)
% 31.99/32.17 ; 1.187 4% Process new row (151,304 calls)
% 31.99/32.17 ; 28.021 89% Resolution (156 calls)
% 31.99/32.17 ; 0.010 0% Paramodulation (78 calls)
% 31.99/32.17 ; 0.004 0% Condensing (20 calls)
% 31.99/32.17 ; 0.000 0% Forward subsumption (20 calls)
% 31.99/32.17 ; 0.000 0% Backward subsumption (18 calls)
% 31.99/32.17 ; 0.001 0% Clause clause subsumption (16 calls)
% 31.99/32.17 ; 1.472 5% Forward simplification (150,929 calls)
% 31.99/32.17 ; 0.532 2% Backward simplification (15,305 calls)
% 31.99/32.17 ; 0.000 0% Sortal reasoning (32 calls)
% 31.99/32.17 ; 0.000 0% Purity testing (1 call)
% 31.99/32.17 ; 0.414 1% Other
% 31.99/32.17 ; 31.649 Total
% 31.99/32.17 ; 31.689 Real time
% 31.99/32.18 ;
% 31.99/32.18 ; Term-hash-array has 20,057 terms in all.
% 31.99/32.18 ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 31.99/32.18 ; Feature-vector-row-index has 26 nodes (26 at peak, 26 added, 0 deleted).
% 31.99/32.18 ; Retrieved 9 possibly forward subsuming rows in 20 calls.
% 31.99/32.18 ; Retrieved 7 possibly backward subsumed rows in 18 calls.
% 31.99/32.18 ; Path-index has 18,991 entries (18,991 at peak, 20,201 added, 1,210 deleted).
% 31.99/32.18 ; Path-index has 5,459 nodes (5,459 at peak, 5,555 added, 96 deleted).
% 31.99/32.18 ; Trie-index has 18,991 entries (18,991 at peak, 20,201 added, 1,210 deleted).
% 31.99/32.18 ; Trie-index has 59,339 nodes (59,339 at peak, 63,398 added, 4,059 deleted).
% 31.99/32.18 ; Retrieved 450,381 generalization terms in 151,096 calls.
% 31.99/32.18 ; Retrieved 38,086 instance terms in 15,286 calls.
% 31.99/32.18 ; Retrieved 49,586,536 unifiable terms in 142,475 calls.
% 31.99/32.18 ;
% 31.99/32.18 ; The agenda of rows to process has 5438 entries:
% 31.99/32.18 ; 8 with value 9 389 with value 15 871 with value 19
% 31.99/32.18 ; 15 with value 11 720 with value 16 724 with value 20
% 31.99/32.18 ; 174 with value 12 727 with value 17 476 with value 21
% 31.99/32.18 ; 147 with value 13 813 with value 18 74 with value 22
% 31.99/32.18 ; 300 with value 14
% 31.99/32.18 ; The agenda of rows to give has 14206 entries:
% 31.99/32.18 ; 2 with value (4 11) 902 with value (4 16) 1982 with value (4 21)
% 31.99/32.18 ; 57 with value (4 12) 1519 with value (4 17) 1128 with value (4 22)
% 31.99/32.18 ; 100 with value (4 13) 2233 with value (4 18) 300 with value (4 23)
% 31.99/32.18 ; 243 with value (4 14) 2729 with value (4 19) 52 with value (4 24)
% 31.99/32.18 ; 422 with value (4 15) 2517 with value (4 20) 20 with value (4 25)
% 31.99/32.18 Evaluation took:
% 31.99/32.18 31.69 seconds of real time
% 31.99/32.18 30.925224 seconds of user run time
% 31.99/32.18 0.76687 seconds of system run time
% 31.99/32.18 [Run times include 1.625 seconds GC run time.]
% 31.99/32.18 0 calls to %EVAL
% 31.99/32.18 0 page faults and
% 31.99/32.18 919,959,576 bytes consed.
% 31.99/32.18 :PROOF-FOUND
% 31.99/32.18 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T15:52:57
% 31.99/32.18 :PROOF-FOUND
% 31.99/32.18 *
%------------------------------------------------------------------------------