%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD024-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 02:27:02 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 10 RR)
% Number of literals : 15 ( 0 equ; 6 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 : 8 ( 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(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(b,additive_inverse(a),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_3) ).
cnf(not_sum_4,negated_conjecture,
~ sum(additive_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_4) ).
cnf(27,plain,
sum(additive_identity,b,b),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_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(125,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,27,not_sum_4,sum_3]),40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : FLD024-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 6 18:20:24 EDT 2022
% 0.12/0.33 % 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 2022-06-06T18:20:24
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-06T18:20:24
% 0.18/0.47
% 0.18/0.47 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.18/0.47 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.18/0.47 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.18/0.48 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.18/0.48 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.18/0.48 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.18/0.48 ; Declaring sum to be commutative.
% 0.18/0.51 ; Declaring product to be commutative.
% 0.18/0.51
% 0.18/0.51 #||
% 0.18/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 274 formulas have been input or derived (from 32 formulas).
% 0.18/0.51 ; 125 (46%) were retained. Of these,
% 0.18/0.51 ; 125 (100%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds excluding printing time:
% 0.18/0.51 ; 0.006 11% Read assertion file (1 call)
% 0.18/0.51 ; 0.001 2% Assert (30 calls)
% 0.18/0.51 ; 0.007 13% Process new row (239 calls)
% 0.18/0.51 ; 0.007 13% Resolution (62 calls)
% 0.18/0.51 ; 0.000 0% Paramodulation (31 calls)
% 0.18/0.51 ; 0.002 4% Condensing (39 calls)
% 0.18/0.51 ; 0.000 0% Forward subsumption (39 calls)
% 0.18/0.51 ; 0.000 0% Backward subsumption (31 calls)
% 0.18/0.51 ; 0.001 2% Clause clause subsumption (13 calls)
% 0.18/0.51 ; 0.003 6% Forward simplification (239 calls)
% 0.18/0.51 ; 0.000 0% Backward simplification (125 calls)
% 0.18/0.51 ; 0.000 0% Ordering (28 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.000 0% Purity testing (1 call)
% 0.18/0.51 ; 0.026 49% Other
% 0.18/0.51 ; 0.053 Total
% 0.18/0.51 ; 0.055 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 198 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 31 entries (31 at peak, 31 added, 0 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 99 nodes (99 at peak, 99 added, 0 deleted).
% 0.18/0.51 ; Retrieved 17 possibly forward subsuming rows in 39 calls.
% 0.18/0.51 ; Retrieved 2 possibly backward subsumed rows in 31 calls.
% 0.18/0.51 ; Path-index has 202 entries (202 at peak, 202 added, 0 deleted).
% 0.18/0.51 ; Path-index has 161 nodes (161 at peak, 161 added, 0 deleted).
% 0.18/0.51 ; Trie-index has 202 entries (202 at peak, 202 added, 0 deleted).
% 0.18/0.51 ; Trie-index has 333 nodes (333 at peak, 333 added, 0 deleted).
% 0.18/0.51 ; Retrieved 105 generalization terms in 245 calls.
% 0.18/0.51 ; Retrieved 94 instance terms in 93 calls.
% 0.18/0.51 ; Retrieved 4,589 unifiable terms in 399 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of rows to give has 93 entries:
% 0.18/0.51 ; 11 with value (4 6) 4 with value (4 8) 3 with value (4 11)
% 0.18/0.51 ; 33 with value (4 7) 39 with value (4 9) 3 with value (4 13)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.055 seconds of real time
% 0.18/0.51 0.049871 seconds of user run time
% 0.18/0.51 0.005124 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 3,025,192 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T18:20:24
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------