TSTP Solution File: SET060-6 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET060-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : Tue Jul 19 05:06:36 EDT 2022
% Result : Unsatisfiable 0.41s 0.57s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 4 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(intersection1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(intersection2,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(complement1,axiom,
( ~ member(X,complement(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(prove_special_classes_lemma_1,negated_conjecture,
member(y,intersection(complement(x),x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_special_classes_lemma_1) ).
cnf(125,plain,
member(y,complement(x)),
inference('HYPERRESOLVE',[status(thm)],[intersection1,prove_special_classes_lemma_1]) ).
cnf(128,plain,
member(y,x),
inference('HYPERRESOLVE',[status(thm)],[intersection2,prove_special_classes_lemma_1]) ).
cnf(256,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[complement1,128]),125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET060-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.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 Jul 11 03:11:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-11T03:11:43
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-11T03:11:43
% 0.41/0.57
% 0.41/0.57
% 0.41/0.57 #||
% 0.41/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.57 % SZS output start Refutation
% See solution above
% 0.41/0.57 ||#
% 0.41/0.57
% 0.41/0.57 ; Summary of computation:
% 0.41/0.57 ; 471 formulas have been input or derived (from 95 formulas).
% 0.41/0.57 ; 256 (54%) were retained. Of these,
% 0.41/0.57 ; 13 ( 5%) were simplified or subsumed later,
% 0.41/0.57 ; 243 (95%) are still being kept.
% 0.41/0.57 ;
% 0.41/0.57 ; Run time in seconds excluding printing time:
% 0.41/0.57 ; 0.016 14% Read assertion file (1 call)
% 0.41/0.57 ; 0.003 3% Assert (92 calls)
% 0.41/0.57 ; 0.022 20% Process new row (396 calls)
% 0.41/0.57 ; 0.011 10% Resolution (188 calls)
% 0.41/0.57 ; 0.003 3% Paramodulation (94 calls)
% 0.41/0.57 ; 0.000 0% Factoring (3 calls)
% 0.41/0.57 ; 0.002 2% Condensing (163 calls)
% 0.41/0.57 ; 0.005 4% Forward subsumption (163 calls)
% 0.41/0.57 ; 0.004 4% Backward subsumption (150 calls)
% 0.41/0.57 ; 0.000 0% Clause clause subsumption (85 calls)
% 0.41/0.57 ; 0.011 10% Forward simplification (396 calls)
% 0.41/0.57 ; 0.003 3% Backward simplification (244 calls)
% 0.41/0.57 ; 0.005 4% Ordering (313 calls)
% 0.41/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.41/0.57 ; 0.000 0% Purity testing (1 call)
% 0.41/0.57 ; 0.027 24% Other
% 0.41/0.57 ; 0.112 Total
% 0.41/0.57 ; 0.113 Real time
% 0.41/0.57 ;
% 0.41/0.57 ; Term-hash-array has 703 terms in all.
% 0.41/0.57 ; Feature-vector-row-index has 150 entries (150 at peak, 150 added, 0 deleted).
% 0.41/0.57 ; Feature-vector-row-index has 1,033 nodes (1,033 at peak, 1,033 added, 0 deleted).
% 0.41/0.57 ; Retrieved 76 possibly forward subsuming rows in 163 calls.
% 0.41/0.57 ; Retrieved 20 possibly backward subsumed rows in 150 calls.
% 0.41/0.57 ; Path-index has 712 entries (712 at peak, 713 added, 1 deleted).
% 0.41/0.58 ; Path-index has 2,623 nodes (2,623 at peak, 2,624 added, 1 deleted).
% 0.41/0.58 ; Trie-index has 712 entries (712 at peak, 713 added, 1 deleted).
% 0.41/0.58 ; Trie-index has 2,532 nodes (2,532 at peak, 2,533 added, 1 deleted).
% 0.41/0.58 ; Retrieved 321 generalization terms in 1,181 calls.
% 0.41/0.58 ; Retrieved 111 instance terms in 93 calls.
% 0.41/0.58 ; Retrieved 7,006 unifiable terms in 767 calls.
% 0.41/0.58 ;
% 0.41/0.58 ; The agenda of rows to process has 28 entries:
% 0.41/0.58 ; 1 with value 9 1 with value 13 4 with value 16
% 0.41/0.58 ; 12 with value 11 8 with value 14 2 with value 17
% 0.41/0.58 ; The agenda of rows to give has 148 entries:
% 0.41/0.58 ; 1 with value (4 5) 7 with value (4 18) 2 with value (4 33)
% 0.41/0.58 ; 1 with value (4 6) 11 with value (4 19) 2 with value (4 34)
% 0.41/0.58 ; 5 with value (4 7) 6 with value (4 20) 2 with value (4 37)
% 0.41/0.58 ; 8 with value (4 8) 2 with value (4 21) 1 with value (4 43)
% 0.41/0.58 ; 3 with value (4 9) 3 with value (4 22) 1 with value (4 44)
% 0.41/0.58 ; 5 with value (4 10) 4 with value (4 23) 1 with value (4 45)
% 0.41/0.58 ; 8 with value (4 11) 5 with value (4 24) 3 with value (4 46)
% 0.41/0.58 ; 5 with value (4 12) 4 with value (4 26) 1 with value (4 49)
% 0.41/0.58 ; 12 with value (4 13) 3 with value (4 29) 1 with value (4 51)
% 0.41/0.58 ; 7 with value (4 14) 3 with value (4 30) 1 with value (4 53)
% 0.41/0.58 ; 9 with value (4 15) 1 with value (4 31) 1 with value (4 59)
% 0.41/0.58 ; 10 with value (4 16) 1 with value (4 32) 1 with value (4 63)
% 0.41/0.58 ; 7 with value (4 17)
% 0.41/0.58 Evaluation took:
% 0.41/0.58 0.114 seconds of real time
% 0.41/0.58 0.107949 seconds of user run time
% 0.41/0.58 0.005875 seconds of system run time
% 0.41/0.58 0 calls to %EVAL
% 0.41/0.58 0 page faults and
% 0.41/0.58 5,973,784 bytes consed.
% 0.41/0.58 :PROOF-FOUND
% 0.41/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T03:11:43
% 0.41/0.58 :PROOF-FOUND
% 0.41/0.58 *
%------------------------------------------------------------------------------