TSTP Solution File: SET238-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET238-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 05:08:32 EDT 2022
% Result : Unsatisfiable 0.47s 0.64s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 9 RR)
% Number of literals : 12 ( 3 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 9 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cartesian_product4,axiom,
( ~ member(X,cross_product(Y,Z))
| ordered_pair(first(X),second(X)) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
cnf(intersection2,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(restriction1,axiom,
intersection(X,cross_product(Y,Z)) = restrict(X,Y,Z),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(prove_corollary_to_restriction_alternate_defn1_1,negated_conjecture,
member(z,restrict(xr,x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_restriction_alternate_defn1_1) ).
cnf(128,plain,
member(z,intersection(xr,cross_product(x,y))),
inference('REWRITE',[status(thm)],[prove_corollary_to_restriction_alternate_defn1_1,restriction1,theory(equality)]) ).
cnf(prove_corollary_to_restriction_alternate_defn1_2,negated_conjecture,
~ member(ordered_pair(first(z),second(z)),restrict(xr,x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_restriction_alternate_defn1_2) ).
cnf(130,plain,
~ member(ordered_pair(first(z),second(z)),intersection(xr,cross_product(x,y))),
inference('REWRITE',[status(thm)],[prove_corollary_to_restriction_alternate_defn1_2,restriction1,theory(equality)]) ).
cnf(155,plain,
member(z,cross_product(x,y)),
inference('HYPERRESOLVE',[status(thm)],[intersection2,128]) ).
cnf(555,plain,
ordered_pair(first(z),second(z)) = z,
inference('HYPERRESOLVE',[status(thm)],[cartesian_product4,155]) ).
cnf(556,plain,
$false,
inference('REWRITE',[status(thm)],[130,128,555,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET238-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n014.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 Jul 11 01:14:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 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 2022-07-11T01:14:35
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-11T01:14:35
% 0.47/0.64
% 0.47/0.64
% 0.47/0.64 #||
% 0.47/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64 % SZS output start Refutation
% See solution above
% 0.47/0.64 ||#
% 0.47/0.64
% 0.47/0.64 ; Summary of computation:
% 0.47/0.64 ; 1113 formulas have been input or derived (from 129 formulas).
% 0.47/0.64 ; 556 (50%) were retained. Of these,
% 0.47/0.64 ; 25 ( 4%) were simplified or subsumed later,
% 0.47/0.64 ; 531 (96%) are still being kept.
% 0.47/0.64 ;
% 0.47/0.64 ; Run time in seconds excluding printing time:
% 0.47/0.64 ; 0.021 13% Read assertion file (1 call)
% 0.47/0.64 ; 0.004 3% Assert (114 calls)
% 0.47/0.64 ; 0.039 25% Process new row (947 calls)
% 0.47/0.64 ; 0.023 14% Resolution (256 calls)
% 0.47/0.64 ; 0.003 2% Paramodulation (128 calls)
% 0.47/0.64 ; 0.000 0% Factoring (3 calls)
% 0.47/0.64 ; 0.002 1% Condensing (240 calls)
% 0.47/0.64 ; 0.008 5% Forward subsumption (240 calls)
% 0.47/0.64 ; 0.005 3% Backward subsumption (223 calls)
% 0.47/0.64 ; 0.000 0% Clause clause subsumption (133 calls)
% 0.47/0.64 ; 0.014 9% Forward simplification (947 calls)
% 0.47/0.64 ; 0.006 4% Backward simplification (539 calls)
% 0.47/0.64 ; 0.004 3% Ordering (451 calls)
% 0.47/0.64 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.64 ; 0.000 0% Purity testing (1 call)
% 0.47/0.64 ; 0.030 19% Other
% 0.47/0.64 ; 0.159 Total
% 0.47/0.64 ; 0.161 Real time
% 0.47/0.64 ;
% 0.47/0.64 ; Term-hash-array has 1,280 terms in all.
% 0.47/0.64 ; Feature-vector-row-index has 223 entries (223 at peak, 223 added, 0 deleted).
% 0.47/0.64 ; Feature-vector-row-index has 1,493 nodes (1,493 at peak, 1,493 added, 0 deleted).
% 0.47/0.64 ; Retrieved 125 possibly forward subsuming rows in 240 calls.
% 0.47/0.64 ; Retrieved 39 possibly backward subsumed rows in 223 calls.
% 0.47/0.64 ; Path-index has 1,281 entries (1,295 at peak, 1,296 added, 15 deleted).
% 0.47/0.64 ; Path-index has 3,536 nodes (3,552 at peak, 3,553 added, 17 deleted).
% 0.47/0.64 ; Trie-index has 1,281 entries (1,295 at peak, 1,296 added, 15 deleted).
% 0.47/0.64 ; Trie-index has 4,204 nodes (4,278 at peak, 4,279 added, 75 deleted).
% 0.47/0.64 ; Retrieved 716 generalization terms in 2,355 calls.
% 0.47/0.64 ; Retrieved 339 instance terms in 315 calls.
% 0.47/0.64 ; Retrieved 21,451 unifiable terms in 1,533 calls.
% 0.47/0.64 ;
% 0.47/0.64 ; The agenda of backward simplifiable rows to process has 6 entries:
% 0.47/0.64 ; 6 with value 0
% 0.47/0.64 ; The agenda of rows to process has 70 entries:
% 0.47/0.64 ; 9 with value 12 16 with value 16 1 with value 18
% 0.47/0.64 ; 18 with value 14 4 with value 17 6 with value 19
% 0.47/0.64 ; 16 with value 15
% 0.47/0.64 ; The agenda of rows to give has 403 entries:
% 0.47/0.64 ; 11 with value (4 8) 7 with value (4 21) 3 with value (4 34)
% 0.47/0.64 ; 17 with value (4 9) 5 with value (4 22) 2 with value (4 37)
% 0.47/0.64 ; 24 with value (4 10) 7 with value (4 23) 1 with value (4 43)
% 0.47/0.64 ; 31 with value (4 11) 5 with value (4 24) 1 with value (4 44)
% 0.47/0.64 ; 27 with value (4 12) 5 with value (4 26) 1 with value (4 45)
% 0.47/0.64 ; 44 with value (4 13) 1 with value (4 27) 4 with value (4 46)
% 0.47/0.64 ; 51 with value (4 14) 2 with value (4 28) 2 with value (4 49)
% 0.47/0.64 ; 42 with value (4 15) 3 with value (4 29) 1 with value (4 51)
% 0.47/0.64 ; 20 with value (4 16) 3 with value (4 30) 1 with value (4 53)
% 0.47/0.64 ; 17 with value (4 17) 1 with value (4 31) 1 with value (4 55)
% 0.47/0.64 ; 31 with value (4 18) 1 with value (4 32) 1 with value (4 59)
% 0.47/0.64 ; 21 with value (4 19) 2 with value (4 33) 1 with value (4 63)
% 0.47/0.64 ; 6 with value (4 20)
% 0.47/0.64 Evaluation took:
% 0.47/0.64 0.161 seconds of real time
% 0.47/0.64 0.147345 seconds of user run time
% 0.47/0.64 0.01422 seconds of system run time
% 0.47/0.64 0 calls to %EVAL
% 0.47/0.64 0 page faults and
% 0.47/0.64 9,927,664 bytes consed.
% 0.47/0.64 :PROOF-FOUND
% 0.47/0.64 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T01:14:35
% 0.47/0.64 :PROOF-FOUND
% 0.47/0.64 *
%------------------------------------------------------------------------------