TSTP Solution File: REL003+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : REL003+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 19:59:05 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 4 unt; 2 nHn; 6 RR)
% Number of literals : 12 ( 11 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
converse(converse(X)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
cnf(9,axiom,
converse(join(X,Y)) = join(converse(X),converse(Y)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
cnf(18,negated_conjecture,
( join('SKOLEMAAAV1','SKOLEMAAAV2') = 'SKOLEMAAAV2'
| join(converse('SKOLEMAAAV1'),converse('SKOLEMAAAV2')) = converse('SKOLEMAAAV2') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(19,plain,
( join('SKOLEMAAAV1','SKOLEMAAAV2') = 'SKOLEMAAAV2'
| converse(join('SKOLEMAAAV1','SKOLEMAAAV2')) = converse('SKOLEMAAAV2') ),
inference('REWRITE',[status(thm)],[18,9,theory(equality)]) ).
cnf(20,negated_conjecture,
( join(converse('SKOLEMAAAV1'),converse('SKOLEMAAAV2')) != converse('SKOLEMAAAV2')
| join('SKOLEMAAAV1','SKOLEMAAAV2') != 'SKOLEMAAAV2' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(21,plain,
( converse(join('SKOLEMAAAV1','SKOLEMAAAV2')) != converse('SKOLEMAAAV2')
| join('SKOLEMAAAV1','SKOLEMAAAV2') != 'SKOLEMAAAV2' ),
inference('REWRITE',[status(thm)],[20,9,theory(equality)]) ).
cnf(54,plain,
join('SKOLEMAAAV1','SKOLEMAAAV2') = 'SKOLEMAAAV2',
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,19,theory(equality)]),8,theory(equality)]) ).
cnf(56,plain,
$false,
inference('REWRITE',[status(thm)],[21,54,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL003+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 8 13:14:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T13:14:50
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-08T13:14:50
% 0.21/0.50
% 0.21/0.50 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.21/0.50 ; Recognized associativity assertion (= (|join| ?X (|join| ?Y ?Z)) (|join| (|join| ?X ?Y) ?Z)).
% 0.21/0.50 ; Recognized associativity assertion (= (|composition| ?X (|composition| ?Y ?Z)) (|composition| (|composition| ?X ?Y) ?Z)).
% 0.21/0.50 ; Recognized right identity assertion (= (|composition| ?X |one|) ?X).
% 0.21/0.50 ; Recognized possible right inverse assertion (= |top| (|join| ?X (|complement| ?X))).
% 0.21/0.50 ; Recognized possible right inverse assertion (= |zero| (|meet| ?X (|complement| ?X))).
% 0.21/0.50 ; Declaring join to be commutative.
% 0.21/0.54 ; Declaring join to be associative-commutative.
% 0.21/0.54
% 0.21/0.54 #||
% 0.21/0.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.54 % SZS output start Refutation
% See solution above
% 0.21/0.54 ||#
% 0.21/0.54
% 0.21/0.54 ; Summary of computation:
% 0.21/0.54 ; 122 formulas have been input or derived (from 14 formulas).
% 0.21/0.54 ; 56 (46%) were retained. Of these,
% 0.21/0.54 ; 5 ( 9%) were simplified or subsumed later,
% 0.21/0.54 ; 51 (91%) are still being kept.
% 0.21/0.54 ;
% 0.21/0.54 ; Run time in seconds excluding printing time:
% 0.21/0.54 ; 0.004 7% Read assertion file (1 call)
% 0.21/0.54 ; 0.000 0% Assert (14 calls)
% 0.21/0.54 ; 0.005 9% Process new row (112 calls)
% 0.21/0.54 ; 0.002 4% Resolution (26 calls)
% 0.21/0.54 ; 0.004 7% Paramodulation (13 calls)
% 0.21/0.54 ; 0.000 0% Factoring (1 call)
% 0.21/0.54 ; 0.000 0% Embedding (17 calls)
% 0.21/0.54 ; 0.000 0% Condensing (2 calls)
% 0.21/0.54 ; 0.000 0% Forward subsumption (2 calls)
% 0.21/0.54 ; 0.000 0% Backward subsumption (2 calls)
% 0.21/0.54 ; 0.007 12% Forward simplification (95 calls)
% 0.21/0.54 ; 0.003 5% Backward simplification (36 calls)
% 0.21/0.54 ; 0.002 4% Ordering (347 calls)
% 0.21/0.54 ; 0.005 9% Ordering ac (144 calls)
% 0.21/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.54 ; 0.000 0% Purity testing (1 call)
% 0.21/0.54 ; 0.025 44% Other
% 0.21/0.54 ; 0.057 Total
% 0.21/0.54 ; 0.059 Real time
% 0.21/0.54 ;
% 0.21/0.54 ; Term-hash-array has 187 terms in all.
% 0.21/0.54 ; Feature-vector-row-index has 0 entries (2 at peak, 2 added, 2 deleted).
% 0.21/0.54 ; Feature-vector-row-index has 1 node (27 at peak, 27 added, 26 deleted).
% 0.21/0.54 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.21/0.54 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.21/0.54 ; Path-index has 189 entries (189 at peak, 192 added, 3 deleted).
% 0.21/0.54 ; Path-index has 360 nodes (366 at peak, 366 added, 6 deleted).
% 0.21/0.54 ; Trie-index has 189 entries (189 at peak, 192 added, 3 deleted).
% 0.21/0.54 ; Trie-index has 233 nodes (236 at peak, 236 added, 3 deleted).
% 0.21/0.54 ; Retrieved 2,505 generalization terms in 637 calls.
% 0.21/0.54 ; Retrieved 72 instance terms in 55 calls.
% 0.21/0.54 ; Retrieved 291 unifiable terms in 68 calls.
% 0.21/0.54 ;
% 0.21/0.54 ; The agenda of rows to process has 4 entries:
% 0.21/0.54 ; 2 with value 23 2 with value 24
% 0.21/0.54 ; The agenda of input rows to give has 4 entries:
% 0.21/0.54 ; 2 with value 18 2 with value 19
% 0.21/0.54 ; The agenda of rows to give has 34 entries:
% 0.21/0.54 ; 4 with value (4 8) 4 with value (4 18) 4 with value (4 22)
% 0.21/0.54 ; 1 with value (4 13) 2 with value (4 19) 2 with value (4 23)
% 0.21/0.54 ; 2 with value (4 14) 7 with value (4 20) 2 with value (4 26)
% 0.21/0.54 ; 4 with value (4 15) 2 with value (4 21)
% 0.21/0.54 Evaluation took:
% 0.21/0.54 0.059 seconds of real time
% 0.21/0.54 0.047995 seconds of user run time
% 0.21/0.54 0.01102 seconds of system run time
% 0.21/0.54 0 calls to %EVAL
% 0.21/0.54 0 page faults and
% 0.21/0.54 3,087,008 bytes consed.
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T13:14:50
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 *
%------------------------------------------------------------------------------