TSTP Solution File: SET009-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 05:05:36 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 16 ( 10 unt; 2 nHn; 15 RR)
% Number of literals : 27 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 19 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(membership_in_subsets,axiom,
( ~ member(X,Y)
| ~ subset(Y,Z)
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',membership_in_subsets) ).
cnf(subsets_axiom1,axiom,
( subset(X,Y)
| member(member_of_1_not_of_2(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom1) ).
cnf(subsets_axiom2,axiom,
( ~ member(member_of_1_not_of_2(X,Y),Y)
| subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom2) ).
cnf(member_of_difference,axiom,
( ~ difference(X,Y,Z)
| ~ member(U,Z)
| member(U,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',member_of_difference) ).
cnf(not_member_of_difference,axiom,
( ~ member(X,Y)
| ~ member(X,Z)
| ~ difference(U,Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',not_member_of_difference) ).
cnf(member_of_difference_or_set2,axiom,
( ~ member(X,Y)
| ~ difference(Y,Z,U)
| member(X,U)
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',member_of_difference_or_set2) ).
cnf(d_is_a_subset_of_a,hypothesis,
subset(d,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_a_subset_of_a) ).
cnf(b_minus_a,hypothesis,
difference(b,a,bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_minus_a) ).
cnf(b_minus_d,hypothesis,
difference(b,d,bDd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_minus_d) ).
cnf(prove_bDa_is_a_subset_of_bDd,negated_conjecture,
~ subset(bDa,bDd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_bDa_is_a_subset_of_bDd) ).
cnf(19,plain,
member(member_of_1_not_of_2(bDa,bDd),bDa),
inference('HYPERRESOLVE',[status(thm)],[prove_bDa_is_a_subset_of_bDd,subsets_axiom1]) ).
cnf(20,plain,
~ member(member_of_1_not_of_2(bDa,bDd),bDd),
inference('UR-RESOLVE',[status(thm)],[subsets_axiom2,prove_bDa_is_a_subset_of_bDd]) ).
cnf(26,plain,
member(member_of_1_not_of_2(bDa,bDd),b),
inference('HYPERRESOLVE',[status(thm)],[member_of_difference,19,b_minus_a]) ).
cnf(27,plain,
~ member(member_of_1_not_of_2(bDa,bDd),a),
inference('UR-RESOLVE',[status(thm)],[not_member_of_difference,19,b_minus_a]) ).
cnf(43,plain,
member(member_of_1_not_of_2(bDa,bDd),d),
inference('UR-RESOLVE',[status(thm)],[member_of_difference_or_set2,26,b_minus_d,20]) ).
cnf(69,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[membership_in_subsets,27,d_is_a_subset_of_a]),43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 07:30:02 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T07:30:02
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-10T07:30:02
% 0.21/0.54
% 0.21/0.54
% 0.21/0.54 #||
% 0.21/0.54 % SZS status Unsatisfiable 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 ; 105 formulas have been input or derived (from 35 formulas).
% 0.21/0.54 ; 69 (66%) were retained. Of these,
% 0.21/0.54 ; 69 (100%) 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 10% Read assertion file (1 call)
% 0.21/0.54 ; 0.000 0% Assert (16 calls)
% 0.21/0.54 ; 0.003 7% Process new row (93 calls)
% 0.21/0.54 ; 0.002 5% Resolution (68 calls)
% 0.21/0.54 ; 0.000 0% Paramodulation (34 calls)
% 0.21/0.54 ; 0.000 0% Factoring (3 calls)
% 0.21/0.54 ; 0.002 5% Condensing (35 calls)
% 0.21/0.54 ; 0.002 5% Forward subsumption (35 calls)
% 0.21/0.54 ; 0.000 0% Backward subsumption (30 calls)
% 0.21/0.54 ; 0.001 2% Clause clause subsumption (22 calls)
% 0.21/0.54 ; 0.004 10% Forward simplification (93 calls)
% 0.21/0.54 ; 0.000 0% Backward simplification (69 calls)
% 0.21/0.54 ; 0.000 0% Ordering (27 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 ; 0.024 57% Other
% 0.21/0.54 ; 0.042 Total
% 0.21/0.54 ; 0.043 Real time
% 0.21/0.54 ;
% 0.21/0.54 ; Term-hash-array has 115 terms in all.
% 0.21/0.54 ; Feature-vector-row-index has 30 entries (30 at peak, 30 added, 0 deleted).
% 0.21/0.54 ; Feature-vector-row-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 0.21/0.54 ; Retrieved 15 possibly forward subsuming rows in 35 calls.
% 0.21/0.54 ; Retrieved 7 possibly backward subsumed rows in 30 calls.
% 0.21/0.54 ; Path-index has 120 entries (120 at peak, 120 added, 0 deleted).
% 0.21/0.54 ; Path-index has 113 nodes (113 at peak, 113 added, 0 deleted).
% 0.21/0.54 ; Trie-index has 120 entries (120 at peak, 120 added, 0 deleted).
% 0.21/0.54 ; Trie-index has 200 nodes (200 at peak, 200 added, 0 deleted).
% 0.21/0.54 ; Retrieved 22 generalization terms in 115 calls.
% 0.21/0.54 ; Retrieved 38 instance terms in 38 calls.
% 0.21/0.54 ; Retrieved 1,398 unifiable terms in 328 calls.
% 0.21/0.54 ;
% 0.21/0.54 ; The agenda of rows to give has 34 entries:
% 0.21/0.54 ; 2 with value (4 7) 1 with value (4 16) 1 with value (4 25)
% 0.21/0.54 ; 8 with value (4 8) 1 with value (4 17) 1 with value (4 26)
% 0.21/0.54 ; 2 with value (4 10) 1 with value (4 18) 1 with value (4 32)
% 0.21/0.54 ; 5 with value (4 11) 6 with value (4 19) 1 with value (4 33)
% 0.21/0.54 ; 2 with value (4 12) 2 with value (4 20)
% 0.21/0.54 Evaluation took:
% 0.21/0.54 0.043 seconds of real time
% 0.21/0.54 0.038334 seconds of user run time
% 0.21/0.54 0.005223 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 2,820,896 bytes consed.
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T07:30:03
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 *
%------------------------------------------------------------------------------