TSTP Solution File: FLD015-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD015-3 : 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 1.47s 1.63s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 11 unt; 0 nHn; 14 RR)
% Number of literals : 19 ( 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 : 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/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
cnf(sum_3,negated_conjecture,
sum(additive_identity,additive_inverse(a),additive_inverse(b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_3) ).
cnf(not_sum_4,negated_conjecture,
~ sum(additive_identity,a,b),
file('/export/starexec/sandbox/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(30,plain,
sum(additive_identity,additive_identity,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,well_definedness_of_additive_identity]) ).
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(7865,plain,
~ sum(a,additive_inverse(b),additive_identity),
inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,39,not_sum_4,27]) ).
cnf(7870,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[associativity_addition_1,40,sum_3,30]),7865]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : FLD015-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 6 14:56:25 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T14:56:25
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-06T14:56:25
% 0.20/0.50
% 0.20/0.50 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.20/0.50 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.20/0.50 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.20/0.50 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.20/0.50 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.20/0.50 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.20/0.50 ; Declaring sum to be commutative.
% 1.47/1.63 ; Declaring product to be commutative.
% 1.47/1.63
% 1.47/1.63 #||
% 1.47/1.63 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.47/1.63 % SZS output start Refutation
% See solution above
% 1.47/1.63 ||#
% 1.47/1.63
% 1.47/1.63 ; Summary of computation:
% 1.47/1.63 ; 16322 formulas have been input or derived (from 84 formulas).
% 1.47/1.63 ; 7870 (48%) were retained. Of these,
% 1.47/1.63 ; 2 ( 0%) were simplified or subsumed later,
% 1.47/1.63 ; 7868 (100%) are still being kept.
% 1.47/1.63 ;
% 1.47/1.63 ; Run time in seconds excluding printing time:
% 1.47/1.63 ; 0.006 1% Read assertion file (1 call)
% 1.47/1.63 ; 0.002 0% Assert (30 calls)
% 1.47/1.63 ; 0.472 41% Process new row (16,102 calls)
% 1.47/1.63 ; 0.349 30% Resolution (166 calls)
% 1.47/1.63 ; 0.001 0% Paramodulation (83 calls)
% 1.47/1.63 ; 0.004 0% Condensing (1,738 calls)
% 1.47/1.63 ; 0.056 5% Forward subsumption (1,738 calls)
% 1.47/1.63 ; 0.022 2% Backward subsumption (917 calls)
% 1.47/1.63 ; 0.006 1% Clause clause subsumption (5,160 calls)
% 1.47/1.63 ; 0.108 9% Forward simplification (16,102 calls)
% 1.47/1.63 ; 0.051 4% Backward simplification (7,870 calls)
% 1.47/1.63 ; 0.000 0% Ordering (470 calls)
% 1.47/1.63 ; 0.000 0% Sortal reasoning (32 calls)
% 1.47/1.63 ; 0.000 0% Purity testing (1 call)
% 1.47/1.63 ; 0.074 6% Other
% 1.47/1.63 ; 1.151 Total
% 1.47/1.63 ; 1.152 Real time
% 1.47/1.63 ;
% 1.47/1.63 ; Term-hash-array has 12,193 terms in all.
% 1.47/1.63 ; Feature-vector-row-index has 915 entries (915 at peak, 917 added, 2 deleted).
% 1.47/1.63 ; Feature-vector-row-index has 737 nodes (737 at peak, 749 added, 12 deleted).
% 1.47/1.63 ; Retrieved 13,182 possibly forward subsuming rows in 1,738 calls.
% 1.47/1.63 ; Retrieved 5,877 possibly backward subsumed rows in 917 calls.
% 1.47/1.63 ; Path-index has 12,197 entries (12,197 at peak, 12,200 added, 3 deleted).
% 1.47/1.63 ; Path-index has 825 nodes (825 at peak, 828 added, 3 deleted).
% 1.47/1.63 ; Trie-index has 12,197 entries (12,197 at peak, 12,200 added, 3 deleted).
% 1.47/1.63 ; Trie-index has 34,654 nodes (34,654 at peak, 34,658 added, 4 deleted).
% 1.47/1.63 ; Retrieved 7,410 generalization terms in 17,809 calls.
% 1.47/1.63 ; Retrieved 6,955 instance terms in 6,952 calls.
% 1.47/1.63 ; Retrieved 882,841 unifiable terms in 3,954 calls.
% 1.47/1.63 ;
% 1.47/1.63 ; The agenda of rows to process has 11 entries:
% 1.47/1.63 ; 6 with value 9 4 with value 10 1 with value 11
% 1.47/1.63 ; The agenda of rows to give has 7784 entries:
% 1.47/1.63 ; 6 with value (4 8) 2130 with value (4 13) 192 with value (4 18)
% 1.47/1.63 ; 51 with value (4 9) 52 with value (4 14) 2052 with value (4 19)
% 1.47/1.63 ; 123 with value (4 10) 562 with value (4 15) 496 with value (4 20)
% 1.47/1.63 ; 597 with value (4 11) 142 with value (4 16) 32 with value (4 22)
% 1.47/1.63 ; 709 with value (4 12) 640 with value (4 17)
% 1.47/1.63 Evaluation took:
% 1.47/1.63 1.154 seconds of real time
% 1.47/1.63 1.054565 seconds of user run time
% 1.47/1.63 0.09907 seconds of system run time
% 1.47/1.63 [Run times include 0.155 seconds GC run time.]
% 1.47/1.63 0 calls to %EVAL
% 1.47/1.63 0 page faults and
% 1.47/1.63 80,875,112 bytes consed.
% 1.47/1.63 :PROOF-FOUND
% 1.47/1.63 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T14:56:26
% 1.47/1.63 :PROOF-FOUND
% 1.47/1.63 *
%------------------------------------------------------------------------------