TSTP Solution File: RNG039-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG039-2 : 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 20:40:38 EDT 2022
% Result : Unsatisfiable 10.38s 10.56s
% Output : Refutation 10.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of clauses : 25 ( 19 unt; 0 nHn; 16 RR)
% Number of literals : 39 ( 0 equ; 17 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 : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 39 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sum_substitution3,axiom,
( ~ equalish(X,Y)
| ~ sum(Z,U,X)
| sum(Z,U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_substitution3) ).
cnf(product_substitution1,axiom,
( ~ equalish(X,Y)
| ~ product(X,Z,U)
| product(Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution1) ).
cnf(product_substitution2,axiom,
( ~ equalish(X,Y)
| ~ product(Z,X,U)
| product(Z,Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution2) ).
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(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/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
cnf(multiplicative_identity1,axiom,
product(additive_identity,X,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).
cnf(multiplication_is_well_defined,axiom,
( ~ product(X,Y,Z)
| ~ product(X,Y,U)
| equalish(Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
cnf(absorbtion1,axiom,
sum(X,add(X,Y),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorbtion1) ).
cnf(clause35,axiom,
equalish(multiply(X,X),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
cnf(clause37,axiom,
equalish(multiply(b,a),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
cnf(clause39,axiom,
product(a,c,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
cnf(clause44,axiom,
product(a,multiply(b,X),multiply(Y,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
cnf(prove_c_equals_d,negated_conjecture,
~ equalish(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d) ).
cnf(130,plain,
sum(additive_identity,multiply(b,a),d),
inference('HYPERRESOLVE',[status(thm)],[sum_substitution3,clause37,additive_identity1]) ).
cnf(159,plain,
product(a,d,multiply(X,a)),
inference('HYPERRESOLVE',[status(thm)],[product_substitution2,clause37,clause44]) ).
cnf(214,plain,
~ product(a,c,d),
inference('UR-RESOLVE',[status(thm)],[multiplication_is_well_defined,clause39,prove_c_equals_d]) ).
cnf(233,plain,
equalish(multiply(additive_identity,X),additive_identity),
inference('HYPERRESOLVE',[status(thm)],[multiplication_is_well_defined,closure_of_multiplication,multiplicative_identity1]) ).
cnf(12252,plain,
product(a,d,a),
inference('HYPERRESOLVE',[status(thm)],[product_substitution3,159,clause35]) ).
cnf(12253,plain,
product(a,d,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[product_substitution3,159,233]) ).
cnf(12278,plain,
~ product(a,add(d,c),additive_identity),
inference('UR-RESOLVE',[status(thm)],[distributivity2,159,absorbtion1,130,214]) ).
cnf(13249,plain,
equalish(additive_identity,a),
inference('HYPERRESOLVE',[status(thm)],[multiplication_is_well_defined,12253,12252]) ).
cnf(14274,plain,
product(a,X,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[product_substitution1,13249,multiplicative_identity1]) ).
cnf(14275,plain,
$false,
inference('REWRITE',[status(thm)],[12278,14274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : RNG039-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.11/0.33 % Computer : n026.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon May 30 17:10:40 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T17:10:40
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-30T17:10:40
% 0.18/0.48
% 0.18/0.48 ; Recognized possible left identity assertion (|sum| |additive_identity| ?X ?X).
% 0.18/0.48 ; Recognized possible right identity assertion (|sum| ?X |additive_identity| ?X).
% 0.18/0.48 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.18/0.48 ; Recognized relation function assertion (|sum| ?X ?Y (|add| ?X ?Y)).
% 0.18/0.48 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?Z ?U ?W)) (|sum| ?X ?V ?W)).
% 0.18/0.48 ; Recognized possible associativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?Y ?U ?V)) (NOT (|sum| ?X ?V ?W)) (|sum| ?Z ?U ?W)).
% 0.18/0.48 ; Recognized commutativity assertion (OR (NOT (|sum| ?X ?Y ?Z)) (|sum| ?Y ?X ?Z)).
% 0.18/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.18/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 10.38/10.56 ; Declaring sum to be commutative.
% 10.38/10.56
% 10.38/10.56 #||
% 10.38/10.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.38/10.56 % SZS output start Refutation
% See solution above
% 10.38/10.56 ||#
% 10.38/10.56
% 10.38/10.56 ; Summary of computation:
% 10.38/10.56 ; 77797 formulas have been input or derived (from 131 formulas).
% 10.38/10.56 ; 14275 (18%) were retained. Of these,
% 10.38/10.56 ; 962 ( 7%) were simplified or subsumed later,
% 10.38/10.56 ; 13313 (93%) are still being kept.
% 10.38/10.56 ;
% 10.38/10.56 ; Run time in seconds excluding printing time:
% 10.38/10.56 ; 0.011 0% Read assertion file (1 call)
% 10.38/10.56 ; 0.002 0% Assert (74 calls)
% 10.38/10.56 ; 0.883 9% Process new row (71,517 calls)
% 10.38/10.56 ; 8.114 80% Resolution (260 calls)
% 10.38/10.56 ; 0.007 0% Paramodulation (130 calls)
% 10.38/10.56 ; 0.002 0% Condensing (23 calls)
% 10.38/10.56 ; 0.000 0% Forward subsumption (23 calls)
% 10.38/10.56 ; 0.000 0% Backward subsumption (20 calls)
% 10.38/10.56 ; 0.001 0% Clause clause subsumption (23 calls)
% 10.38/10.56 ; 0.561 6% Forward simplification (71,303 calls)
% 10.38/10.56 ; 0.289 3% Backward simplification (14,275 calls)
% 10.38/10.56 ; 0.000 0% Sortal reasoning (32 calls)
% 10.38/10.56 ; 0.000 0% Purity testing (1 call)
% 10.38/10.56 ; 0.231 2% Other
% 10.38/10.56 ; 10.101 Total
% 10.38/10.56 ; 10.102 Real time
% 10.38/10.57 ;
% 10.38/10.57 ; Term-hash-array has 17,740 terms in all.
% 10.38/10.57 ; Feature-vector-row-index has 19 entries (20 at peak, 20 added, 1 deleted).
% 10.38/10.57 ; Feature-vector-row-index has 24 nodes (24 at peak, 24 added, 0 deleted).
% 10.38/10.57 ; Retrieved 14 possibly forward subsuming rows in 23 calls.
% 10.38/10.57 ; Retrieved 10 possibly backward subsumed rows in 20 calls.
% 10.38/10.57 ; Path-index has 16,711 entries (16,763 at peak, 17,800 added, 1,089 deleted).
% 10.38/10.57 ; Path-index has 3,237 nodes (3,260 at peak, 3,297 added, 60 deleted).
% 10.38/10.57 ; Trie-index has 16,711 entries (16,763 at peak, 17,800 added, 1,089 deleted).
% 10.38/10.57 ; Trie-index has 62,612 nodes (62,691 at peak, 65,406 added, 2,794 deleted).
% 10.38/10.57 ; Retrieved 145,387 generalization terms in 71,769 calls.
% 10.38/10.57 ; Retrieved 40,249 instance terms in 14,254 calls.
% 10.38/10.57 ; Retrieved 16,518,787 unifiable terms in 141,534 calls.
% 10.38/10.57 ;
% 10.38/10.57 ; The agenda of rows to process has 87 entries:
% 10.38/10.57 ; 26 with value 9 33 with value 12 4 with value 14
% 10.38/10.57 ; 18 with value 11 6 with value 13
% 10.38/10.57 ; The agenda of rows to give has 13197 entries:
% 10.38/10.57 ; 5 with value (4 7) 1484 with value (4 15) 50 with value (4 23)
% 10.38/10.57 ; 40 with value (4 8) 1618 with value (4 16) 47 with value (4 24)
% 10.38/10.57 ; 183 with value (4 9) 1351 with value (4 17) 58 with value (4 25)
% 10.38/10.57 ; 237 with value (4 10) 852 with value (4 18) 104 with value (4 26)
% 10.38/10.57 ; 690 with value (4 11) 815 with value (4 19) 24 with value (4 27)
% 10.38/10.57 ; 1441 with value (4 12) 528 with value (4 20) 4 with value (4 30)
% 10.38/10.57 ; 1201 with value (4 13) 505 with value (4 21) 6 with value (4 31)
% 10.38/10.57 ; 1823 with value (4 14) 131 with value (4 22)
% 10.38/10.57 Evaluation took:
% 10.38/10.57 10.103 seconds of real time
% 10.38/10.57 9.721689 seconds of user run time
% 10.38/10.57 0.382735 seconds of system run time
% 10.38/10.57 [Run times include 0.767 seconds GC run time.]
% 10.38/10.57 0 calls to %EVAL
% 10.38/10.57 0 page faults and
% 10.38/10.57 397,463,632 bytes consed.
% 10.38/10.57 :PROOF-FOUND
% 10.38/10.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T17:10:50
% 10.38/10.57 :PROOF-FOUND
% 10.38/10.57 *
%------------------------------------------------------------------------------