TSTP Solution File: FLD014-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD014-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 : Sat Jul 16 02:26:59 EDT 2022
% Result : Unsatisfiable 2.24s 2.41s
% Output : Refutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 12 unt; 0 nHn; 16 RR)
% Number of literals : 22 ( 0 equ; 7 neg)
% Maximal clause size : 4 ( 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; 3 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_addition_1,axiom,
( sum(X,Y,Z)
| ~ sum(X,U,V)
| ~ sum(U,W,Y)
| ~ sum(V,W,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(existence_of_inverse_addition,axiom,
( sum(additive_inverse(X),X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(well_definedness_of_additive_inverse,axiom,
( defined(additive_inverse(X))
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(sum_3,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_3) ).
cnf(not_sum_4,negated_conjecture,
~ sum(additive_identity,additive_inverse(a),additive_inverse(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_4) ).
cnf(30,plain,
sum(additive_identity,additive_identity,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,well_definedness_of_additive_identity]) ).
cnf(35,plain,
defined(additive_inverse(b)),
inference('HYPERRESOLVE',[status(thm)],[well_definedness_of_additive_inverse,b_is_defined]) ).
cnf(39,plain,
sum(additive_inverse(b),b,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,b_is_defined]) ).
cnf(40,plain,
sum(additive_inverse(a),a,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,a_is_defined]) ).
cnf(144,plain,
sum(additive_identity,additive_inverse(b),additive_inverse(b)),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,35]) ).
cnf(7871,plain,
sum(additive_inverse(a),b,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[associativity_addition_1,40,sum_3,30]) ).
cnf(11018,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,7871,not_sum_4,39]),144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD014-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n019.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 Jun 6 18:54:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 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 2022-06-06T18:54:25
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-06T18:54:25
% 0.20/0.48
% 0.20/0.48 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.20/0.48 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.20/0.48 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.20/0.48 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.20/0.48 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.20/0.49 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.20/0.49 ; Declaring sum to be commutative.
% 2.24/2.41 ; Declaring product to be commutative.
% 2.24/2.41
% 2.24/2.41 #||
% 2.24/2.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.24/2.41 % SZS output start Refutation
% See solution above
% 2.24/2.41 ||#
% 2.24/2.41
% 2.24/2.41 ; Summary of computation:
% 2.24/2.41 ; 25168 formulas have been input or derived (from 142 formulas).
% 2.24/2.41 ; 11018 (44%) were retained. Of these,
% 2.24/2.41 ; 57 ( 1%) were simplified or subsumed later,
% 2.24/2.41 ; 10961 (99%) are still being kept.
% 2.24/2.41 ;
% 2.24/2.41 ; Run time in seconds excluding printing time:
% 2.24/2.41 ; 0.006 0% Read assertion file (1 call)
% 2.24/2.41 ; 0.002 0% Assert (30 calls)
% 2.24/2.41 ; 0.614 32% Process new row (24,201 calls)
% 2.24/2.41 ; 0.806 41% Resolution (282 calls)
% 2.24/2.41 ; 0.004 0% Paramodulation (141 calls)
% 2.24/2.41 ; 0.000 0% Factoring (5 calls)
% 2.24/2.41 ; 0.006 0% Condensing (2,487 calls)
% 2.24/2.41 ; 0.084 4% Forward subsumption (2,487 calls)
% 2.24/2.41 ; 0.023 1% Backward subsumption (1,381 calls)
% 2.24/2.41 ; 0.015 1% Clause clause subsumption (9,076 calls)
% 2.24/2.41 ; 0.127 7% Forward simplification (24,201 calls)
% 2.24/2.41 ; 0.160 8% Backward simplification (11,018 calls)
% 2.24/2.41 ; 0.002 0% Ordering (1,706 calls)
% 2.24/2.41 ; 0.000 0% Sortal reasoning (32 calls)
% 2.24/2.41 ; 0.000 0% Purity testing (1 call)
% 2.24/2.41 ; 0.096 5% Other
% 2.24/2.41 ; 1.945 Total
% 2.24/2.41 ; 1.947 Real time
% 2.24/2.42 ;
% 2.24/2.42 ; Term-hash-array has 16,122 terms in all.
% 2.24/2.42 ; Feature-vector-row-index has 1,330 entries (1,330 at peak, 1,381 added, 51 deleted).
% 2.24/2.42 ; Feature-vector-row-index has 1,324 nodes (1,324 at peak, 1,360 added, 36 deleted).
% 2.24/2.42 ; Retrieved 20,192 possibly forward subsuming rows in 2,487 calls.
% 2.24/2.42 ; Retrieved 7,916 possibly backward subsumed rows in 1,381 calls.
% 2.24/2.42 ; Path-index has 16,107 entries (16,107 at peak, 16,174 added, 67 deleted).
% 2.24/2.42 ; Path-index has 986 nodes (986 at peak, 995 added, 9 deleted).
% 2.24/2.42 ; Trie-index has 16,107 entries (16,107 at peak, 16,174 added, 67 deleted).
% 2.24/2.42 ; Trie-index has 45,866 nodes (45,866 at peak, 45,963 added, 97 deleted).
% 2.24/2.42 ; Retrieved 12,080 generalization terms in 26,757 calls.
% 2.24/2.42 ; Retrieved 9,735 instance terms in 9,636 calls.
% 2.24/2.42 ; Retrieved 1,734,626 unifiable terms in 20,778 calls.
% 2.24/2.42 ;
% 2.24/2.42 ; The agenda of rows to process has 69 entries:
% 2.24/2.42 ; 17 with value 11 28 with value 12 24 with value 14
% 2.24/2.42 ; The agenda of rows to give has 10821 entries:
% 2.24/2.42 ; 39 with value (4 9) 1392 with value (4 15) 478 with value (4 20)
% 2.24/2.42 ; 231 with value (4 10) 133 with value (4 16) 720 with value (4 21)
% 2.24/2.42 ; 758 with value (4 11) 726 with value (4 17) 25 with value (4 22)
% 2.24/2.42 ; 996 with value (4 12) 185 with value (4 18) 170 with value (4 23)
% 2.24/2.42 ; 2503 with value (4 13) 2170 with value (4 19) 5 with value (4 25)
% 2.24/2.42 ; 290 with value (4 14)
% 2.24/2.42 Evaluation took:
% 2.24/2.42 1.948 seconds of real time
% 2.24/2.42 1.795158 seconds of user run time
% 2.24/2.42 0.153007 seconds of system run time
% 2.24/2.42 [Run times include 0.256 seconds GC run time.]
% 2.24/2.42 0 calls to %EVAL
% 2.24/2.42 0 page faults and
% 2.24/2.42 123,791,648 bytes consed.
% 2.24/2.42 :PROOF-FOUND
% 2.24/2.42 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T18:54:27
% 2.24/2.42 :PROOF-FOUND
% 2.24/2.42 *
%------------------------------------------------------------------------------