%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET242-6 : 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 : Tue Jul 19 05:08:34 EDT 2022
% Result : Unsatisfiable 0.37s 0.57s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 9 ( 1 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(intersection3,axiom,
( ~ member(X,Y)
| ~ member(X,Z)
| member(X,intersection(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(restriction1,axiom,
intersection(X,cross_product(Y,Z)) = restrict(X,Y,Z),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(prove_restriction_alternate_defn5_1,negated_conjecture,
member(z,xr),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_alternate_defn5_1) ).
cnf(prove_restriction_alternate_defn5_2,negated_conjecture,
member(z,cross_product(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_alternate_defn5_2) ).
cnf(prove_restriction_alternate_defn5_3,negated_conjecture,
~ member(z,restrict(xr,x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_alternate_defn5_3) ).
cnf(130,plain,
~ member(z,intersection(xr,cross_product(x,y))),
inference('REWRITE',[status(thm)],[prove_restriction_alternate_defn5_3,restriction1,theory(equality)]) ).
cnf(223,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[intersection3,prove_restriction_alternate_defn5_1,prove_restriction_alternate_defn5_2,130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET242-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n023.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 : Sat Jul 9 18:04:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-09T18:04:11
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-09T18:04:11
% 0.37/0.57
% 0.37/0.57
% 0.37/0.57 #||
% 0.37/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.57 % SZS output start Refutation
% See solution above
% 0.37/0.58 ||#
% 0.37/0.58
% 0.37/0.58 ; Summary of computation:
% 0.37/0.58 ; 347 formulas have been input or derived (from 76 formulas).
% 0.37/0.58 ; 223 (64%) were retained. Of these,
% 0.37/0.58 ; 17 ( 8%) were simplified or subsumed later,
% 0.37/0.58 ; 206 (92%) are still being kept.
% 0.37/0.58 ;
% 0.37/0.58 ; Run time in seconds:
% 0.37/0.58 ; 0.021 23% Read assertion file (1 call)
% 0.37/0.58 ; 0.005 5% Assert (115 calls)
% 0.37/0.58 ; 0.019 21% Process new row (295 calls)
% 0.37/0.58 ; 0.006 7% Resolution (150 calls)
% 0.37/0.58 ; 0.004 4% Paramodulation (75 calls)
% 0.37/0.58 ; 0.000 0% Factoring (3 calls)
% 0.37/0.58 ; 0.000 0% Condensing (141 calls)
% 0.37/0.58 ; 0.004 4% Forward subsumption (141 calls)
% 0.37/0.58 ; 0.003 3% Backward subsumption (126 calls)
% 0.37/0.58 ; 0.000 0% Clause clause subsumption (70 calls)
% 0.37/0.58 ; 0.004 4% Forward simplification (295 calls)
% 0.37/0.58 ; 0.002 2% Backward simplification (207 calls)
% 0.37/0.58 ; 0.003 3% Ordering (190 calls)
% 0.37/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.58 ; 0.000 0% Purity testing (1 call)
% 0.37/0.58 ; 0.021 23% Other
% 0.37/0.58 ; 0.092 Total
% 0.37/0.58 ; 0.093 Real time
% 0.37/0.58 ;
% 0.37/0.58 ; Term-hash-array has 511 terms in all.
% 0.37/0.58 ; Feature-vector-row-index has 126 entries (126 at peak, 126 added, 0 deleted).
% 0.37/0.58 ; Feature-vector-row-index has 650 nodes (650 at peak, 650 added, 0 deleted).
% 0.37/0.58 ; Retrieved 79 possibly forward subsuming rows in 141 calls.
% 0.37/0.58 ; Retrieved 11 possibly backward subsumed rows in 126 calls.
% 0.37/0.58 ; Path-index has 526 entries (526 at peak, 527 added, 1 deleted).
% 0.37/0.58 ; Path-index has 1,790 nodes (1,790 at peak, 1,791 added, 1 deleted).
% 0.37/0.58 ; Trie-index has 526 entries (526 at peak, 527 added, 1 deleted).
% 0.37/0.58 ; Trie-index has 1,637 nodes (1,637 at peak, 1,638 added, 1 deleted).
% 0.37/0.58 ; Retrieved 201 generalization terms in 718 calls.
% 0.37/0.58 ; Retrieved 104 instance terms in 80 calls.
% 0.37/0.58 ; Retrieved 3,326 unifiable terms in 510 calls.
% 0.37/0.58 ;
% 0.37/0.58 ; The agenda of rows to process has 13 entries:
% 0.37/0.58 ; 1 with value 5 1 with value 10 2 with value 13
% 0.37/0.58 ; 5 with value 8 4 with value 11
% 0.37/0.58 ; The agenda of input rows to give has 39 entries:
% 0.37/0.58 ; 6 with value 15 3 with value 21 1 with value 31
% 0.37/0.58 ; 3 with value 16 4 with value 22 1 with value 33
% 0.37/0.58 ; 5 with value 17 1 with value 24 1 with value 34
% 0.37/0.58 ; 2 with value 18 1 with value 26 2 with value 35
% 0.37/0.58 ; 1 with value 19 1 with value 27 1 with value 50
% 0.37/0.58 ; 4 with value 20 2 with value 30
% 0.37/0.58 ; The agenda of rows to give has 91 entries:
% 0.37/0.58 ; 3 with value (4 5) 9 with value (4 13) 3 with value (4 20)
% 0.37/0.58 ; 5 with value (4 7) 8 with value (4 14) 2 with value (4 22)
% 0.37/0.58 ; 6 with value (4 8) 7 with value (4 15) 1 with value (4 23)
% 0.37/0.58 ; 3 with value (4 9) 10 with value (4 16) 1 with value (4 24)
% 0.37/0.58 ; 5 with value (4 10) 5 with value (4 17) 1 with value (4 26)
% 0.37/0.58 ; 7 with value (4 11) 3 with value (4 18) 2 with value (4 28)
% 0.37/0.58 ; 3 with value (4 12) 5 with value (4 19) 2 with value (4 30)
% 0.37/0.58 Evaluation took:
% 0.37/0.58 0.093 seconds of real time
% 0.37/0.58 0.081549 seconds of user run time
% 0.37/0.58 0.011748 seconds of system run time
% 0.37/0.58 0 calls to %EVAL
% 0.37/0.58 0 page faults and
% 0.37/0.58 4,921,008 bytes consed.
% 0.37/0.58 :PROOF-FOUND
% 0.37/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T18:04:11
% 0.37/0.58 :PROOF-FOUND
% 0.37/0.58 *
%------------------------------------------------------------------------------