TSTP Solution File: RNG007-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG007-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 20:40:32 EDT 2022
% Result : Unsatisfiable 0.66s 0.84s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 7 RR)
% Number of literals : 23 ( 0 equ; 14 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(additive_identity1,axiom,
sum(additive_identity,X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).
cnf(closure_of_addition,axiom,
sum(X,Y,add(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',closure_of_addition) ).
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(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/Axioms/RNG001-0.ax',distributivity2) ).
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(x_squared_is_x,hypothesis,
product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_squared_is_x) ).
cnf(prove_a_plus_a_is_id,negated_conjecture,
~ sum(a,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_plus_a_is_id) ).
cnf(24,plain,
~ sum(add(a,a),additive_identity,additive_identity),
inference('UR-RESOLVE',[status(thm)],[associativity_of_addition1,closure_of_addition,additive_identity1,prove_a_plus_a_is_id]) ).
cnf(51,plain,
product(X,add(X,X),add(X,X)),
inference('HYPERRESOLVE',[status(thm)],[distributivity2,x_squared_is_x,x_squared_is_x,closure_of_addition,closure_of_addition]) ).
cnf(137,plain,
~ sum(add(a,a),X,X),
inference('UR-RESOLVE',[status(thm)],[associativity_of_addition1,24,left_inverse,left_inverse]) ).
cnf(634,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[distributivity3,137,closure_of_addition,x_squared_is_x]),51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n024.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 08:13:51 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T08:13:51
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-05-30T08:13:51
% 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)).
% 0.20/0.49 ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 0.20/0.49 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.20/0.49 ; Declaring sum to be commutative.
% 0.20/0.49 ; Declaring add to be commutative.
% 0.66/0.84 ; Declaring add to be associative-commutative.
% 0.66/0.84
% 0.66/0.84 #||
% 0.66/0.84 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.84 % SZS output start Refutation
% See solution above
% 0.66/0.84 ||#
% 0.66/0.84
% 0.66/0.84 ; Summary of computation:
% 0.66/0.84 ; 6216 formulas have been input or derived (from 42 formulas).
% 0.66/0.84 ; 634 (10%) were retained. Of these,
% 0.66/0.84 ; 60 ( 9%) were simplified or subsumed later,
% 0.66/0.84 ; 574 (91%) are still being kept.
% 0.66/0.84 ;
% 0.66/0.84 ; Run time in seconds excluding printing time:
% 0.66/0.84 ; 0.004 1% Read assertion file (1 call)
% 0.66/0.84 ; 0.002 1% Assert (19 calls)
% 0.66/0.84 ; 0.047 14% Process new row (4,680 calls)
% 0.66/0.84 ; 0.157 45% Resolution (82 calls)
% 0.66/0.84 ; 0.001 0% Paramodulation (41 calls)
% 0.66/0.84 ; 0.000 0% Embedding (5 calls)
% 0.66/0.84 ; 0.002 1% Condensing (10 calls)
% 0.66/0.84 ; 0.000 0% Forward subsumption (10 calls)
% 0.66/0.84 ; 0.000 0% Backward subsumption (9 calls)
% 0.66/0.84 ; 0.001 0% Clause clause subsumption (7 calls)
% 0.66/0.84 ; 0.091 26% Forward simplification (4,609 calls)
% 0.66/0.84 ; 0.009 3% Backward simplification (630 calls)
% 0.66/0.84 ; 0.000 0% Ordering (53 calls)
% 0.66/0.84 ; 0.000 0% Ordering ac (5 calls)
% 0.66/0.84 ; 0.000 0% Sortal reasoning (32 calls)
% 0.66/0.84 ; 0.000 0% Purity testing (1 call)
% 0.66/0.84 ; 0.032 9% Other
% 0.66/0.84 ; 0.346 Total
% 0.66/0.84 ; 0.364 Real time
% 0.66/0.84 ;
% 0.66/0.84 ; Term-hash-array has 916 terms in all.
% 0.66/0.84 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.66/0.84 ; Feature-vector-row-index has 13 nodes (13 at peak, 13 added, 0 deleted).
% 0.66/0.84 ; Retrieved 4 possibly forward subsuming rows in 10 calls.
% 0.66/0.84 ; Retrieved 3 possibly backward subsumed rows in 9 calls.
% 0.66/0.84 ; Path-index has 856 entries (857 at peak, 918 added, 62 deleted).
% 0.66/0.84 ; Path-index has 714 nodes (714 at peak, 725 added, 11 deleted).
% 0.66/0.84 ; Trie-index has 856 entries (857 at peak, 918 added, 62 deleted).
% 0.66/0.84 ; Trie-index has 1,698 nodes (1,703 at peak, 1,825 added, 127 deleted).
% 0.66/0.84 ; Retrieved 30,256 generalization terms in 14,358 calls.
% 0.66/0.84 ; Retrieved 955 instance terms in 620 calls.
% 0.66/0.84 ; Retrieved 170,793 unifiable terms in 7,955 calls.
% 0.66/0.84 ;
% 0.66/0.84 ; The agenda of rows to process has 317 entries:
% 0.66/0.84 ; 23 with value 13 28 with value 17 4 with value 21
% 0.66/0.84 ; 19 with value 14 55 with value 18 8 with value 22
% 0.66/0.84 ; 60 with value 15 26 with value 19 21 with value 23
% 0.66/0.84 ; 38 with value 16 35 with value 20
% 0.66/0.84 ; The agenda of rows to give has 535 entries:
% 0.66/0.84 ; 5 with value (4 10) 53 with value (4 15) 51 with value (4 19)
% 0.66/0.84 ; 34 with value (4 11) 72 with value (4 16) 28 with value (4 20)
% 0.66/0.84 ; 28 with value (4 12) 56 with value (4 17) 12 with value (4 21)
% 0.66/0.84 ; 80 with value (4 13) 64 with value (4 18) 4 with value (4 22)
% 0.66/0.84 ; 48 with value (4 14)
% 0.66/0.84 Evaluation took:
% 0.66/0.84 0.365 seconds of real time
% 0.66/0.84 0.314819 seconds of user run time
% 0.66/0.84 0.032898 seconds of system run time
% 0.66/0.84 [Run times include 0.008 seconds GC run time.]
% 0.66/0.84 0 calls to %EVAL
% 0.66/0.84 0 page faults and
% 0.66/0.84 21,305,936 bytes consed.
% 0.66/0.84 :PROOF-FOUND
% 0.66/0.84 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T08:13:52
% 0.66/0.84 :PROOF-FOUND
% 0.66/0.84 *
%------------------------------------------------------------------------------