TSTP Solution File: SET003-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET003-1 : 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 05:05:32 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 1 nHn; 7 RR)
% Number of literals : 12 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subsets_axiom1,axiom,
( subset(X,Y)
| member(member_of_1_not_of_2(X,Y),X) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET001-0.ax',subsets_axiom2) ).
cnf(member_of_set1_is_member_of_union,axiom,
( ~ union(X,Y,Z)
| ~ member(U,X)
| member(U,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-1.ax',member_of_set1_is_member_of_union) ).
cnf(a_union_a_is_aUa,hypothesis,
union(a,a,aUa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_union_a_is_aUa) ).
cnf(prove_a_is_a_subset_of_aUa,negated_conjecture,
~ subset(a,aUa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_is_a_subset_of_aUa) ).
cnf(17,plain,
member(member_of_1_not_of_2(a,aUa),a),
inference('HYPERRESOLVE',[status(thm)],[prove_a_is_a_subset_of_aUa,subsets_axiom1]) ).
cnf(18,plain,
~ member(member_of_1_not_of_2(a,aUa),aUa),
inference('UR-RESOLVE',[status(thm)],[subsets_axiom2,prove_a_is_a_subset_of_aUa]) ).
cnf(24,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[member_of_set1_is_member_of_union,17,a_union_a_is_aUa]),18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 05:52:47 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T05:52:48
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-10T05:52:48
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 #||
% 0.20/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49 % SZS output start Refutation
% See solution above
% 0.20/0.49 ||#
% 0.20/0.49
% 0.20/0.49 ; Summary of computation:
% 0.20/0.49 ; 46 formulas have been input or derived (from 22 formulas).
% 0.20/0.49 ; 24 (52%) were retained. Of these,
% 0.20/0.49 ; 24 (100%) are still being kept.
% 0.20/0.49 ;
% 0.20/0.49 ; Run time in seconds excluding printing time:
% 0.20/0.49 ; 0.002 10% Read assertion file (1 call)
% 0.20/0.49 ; 0.001 5% Assert (14 calls)
% 0.20/0.49 ; 0.003 15% Process new row (26 calls)
% 0.20/0.49 ; 0.000 0% Resolution (42 calls)
% 0.20/0.49 ; 0.000 0% Paramodulation (21 calls)
% 0.20/0.49 ; 0.000 0% Factoring (6 calls)
% 0.20/0.49 ; 0.000 0% Condensing (19 calls)
% 0.20/0.49 ; 0.001 5% Forward subsumption (19 calls)
% 0.20/0.49 ; 0.000 0% Backward subsumption (17 calls)
% 0.20/0.49 ; 0.000 0% Clause clause subsumption (23 calls)
% 0.20/0.49 ; 0.000 0% Forward simplification (26 calls)
% 0.20/0.49 ; 0.000 0% Backward simplification (24 calls)
% 0.20/0.49 ; 0.000 0% Ordering (14 calls)
% 0.20/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.49 ; 0.000 0% Purity testing (1 call)
% 0.20/0.49 ; 0.013 65% Other
% 0.20/0.49 ; 0.020 Total
% 0.20/0.49 ; 0.021 Real time
% 0.20/0.49 ;
% 0.20/0.49 ; Term-hash-array has 42 terms in all.
% 0.20/0.49 ; Feature-vector-row-index has 17 entries (17 at peak, 17 added, 0 deleted).
% 0.20/0.49 ; Feature-vector-row-index has 33 nodes (33 at peak, 33 added, 0 deleted).
% 0.20/0.49 ; Retrieved 8 possibly forward subsuming rows in 19 calls.
% 0.20/0.49 ; Retrieved 15 possibly backward subsumed rows in 17 calls.
% 0.20/0.49 ; Path-index has 44 entries (44 at peak, 44 added, 0 deleted).
% 0.20/0.49 ; Path-index has 64 nodes (64 at peak, 64 added, 0 deleted).
% 0.20/0.49 ; Trie-index has 44 entries (44 at peak, 44 added, 0 deleted).
% 0.20/0.49 ; Trie-index has 47 nodes (47 at peak, 47 added, 0 deleted).
% 0.20/0.49 ; Retrieved 1 generalization term in 21 calls.
% 0.20/0.49 ; Retrieved 6 instance terms in 6 calls.
% 0.20/0.49 ; Retrieved 635 unifiable terms in 124 calls.
% 0.20/0.49 ;
% 0.20/0.49 ; The agenda of rows to process has 14 entries:
% 0.20/0.49 ; 1 with value 16 7 with value 25 2 with value 33
% 0.20/0.49 ; 1 with value 17 2 with value 32 1 with value 40
% 0.20/0.49 ; The agenda of rows to give has 2 entries:
% 0.20/0.49 ; 1 with value (4 8) 1 with value (4 19)
% 0.20/0.49 Evaluation took:
% 0.20/0.49 0.021 seconds of real time
% 0.20/0.49 0.018081 seconds of user run time
% 0.20/0.49 0.003013 seconds of system run time
% 0.20/0.49 0 calls to %EVAL
% 0.20/0.49 0 page faults and
% 0.20/0.49 1,928,056 bytes consed.
% 0.20/0.49 :PROOF-FOUND
% 0.20/0.49 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T05:52:48
% 0.20/0.49 :PROOF-FOUND
% 0.20/0.49 *
%------------------------------------------------------------------------------