%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET101-6 : 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 05:07:22 EDT 2022
% Result : Unsatisfiable 2.15s 2.34s
% Output : Refutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 8 unt; 0 nHn; 2 RR)
% Number of literals : 10 ( 2 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unordered_pair2,axiom,
( ~ member(X,universal_class)
| member(X,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(unordered_pairs_in_universal,axiom,
member(unordered_pair(X,Y),universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(ordered_pair,axiom,
unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
cnf(prove_singleton_member_of_ordered_pair_1,negated_conjecture,
~ member(singleton(x),ordered_pair(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_member_of_ordered_pair_1) ).
cnf(107,plain,
member(singleton(X),universal_class),
inference('PARAMODULATE',[status(thm)],[unordered_pairs_in_universal,singleton_set,theory(equality)]) ).
cnf(275,plain,
member(singleton(X),unordered_pair(singleton(X),Y)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,107]) ).
cnf(10557,plain,
member(singleton(X),ordered_pair(X,Y)),
inference('PARAMODULATE',[status(thm)],[275,ordered_pair,theory(equality)]) ).
cnf(10558,plain,
$false,
inference('REWRITE',[status(thm)],[prove_singleton_member_of_ordered_pair_1,10557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET101-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % 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 : Sat Jul 9 18:43:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T18:43:29
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-09T18:43:29
% 2.15/2.34
% 2.15/2.34
% 2.15/2.34 #||
% 2.15/2.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.15/2.34 % SZS output start Refutation
% See solution above
% 2.15/2.35 ||#
% 2.15/2.35
% 2.15/2.35 ; Summary of computation:
% 2.15/2.35 ; 20994 formulas have been input or derived (from 338 formulas).
% 2.15/2.35 ; 10558 (50%) were retained. Of these,
% 2.15/2.35 ; 349 ( 3%) were simplified or subsumed later,
% 2.15/2.35 ; 10209 (97%) are still being kept.
% 2.15/2.35 ;
% 2.15/2.35 ; Run time in seconds excluding printing time:
% 2.15/2.35 ; 0.017 1% Read assertion file (1 call)
% 2.15/2.35 ; 0.002 0% Assert (92 calls)
% 2.15/2.35 ; 0.750 40% Process new row (19,881 calls)
% 2.15/2.35 ; 0.559 30% Resolution (674 calls)
% 2.15/2.35 ; 0.007 0% Paramodulation (337 calls)
% 2.15/2.35 ; 0.000 0% Factoring (7 calls)
% 2.15/2.35 ; 0.026 1% Condensing (1,314 calls)
% 2.15/2.35 ; 0.058 3% Forward subsumption (1,314 calls)
% 2.15/2.35 ; 0.052 3% Backward subsumption (1,283 calls)
% 2.15/2.35 ; 0.003 0% Clause clause subsumption (3,226 calls)
% 2.15/2.35 ; 0.220 12% Forward simplification (19,875 calls)
% 2.15/2.35 ; 0.102 5% Backward simplification (10,546 calls)
% 2.15/2.35 ; 0.007 0% Ordering (3,468 calls)
% 2.15/2.35 ; 0.000 0% Sortal reasoning (32 calls)
% 2.15/2.35 ; 0.000 0% Purity testing (1 call)
% 2.15/2.35 ; 0.085 5% Other
% 2.15/2.35 ; 1.888 Total
% 2.15/2.35 ; 1.889 Real time
% 2.15/2.35 ;
% 2.15/2.35 ; Term-hash-array has 15,043 terms in all.
% 2.15/2.35 ; Feature-vector-row-index has 1,260 entries (1,260 at peak, 1,283 added, 23 deleted).
% 2.15/2.35 ; Feature-vector-row-index has 5,821 nodes (5,821 at peak, 5,932 added, 111 deleted).
% 2.15/2.35 ; Retrieved 3,082 possibly forward subsuming rows in 1,314 calls.
% 2.15/2.35 ; Retrieved 1,063 possibly backward subsumed rows in 1,283 calls.
% 2.15/2.35 ; Path-index has 14,640 entries (14,641 at peak, 15,091 added, 451 deleted).
% 2.15/2.35 ; Path-index has 6,350 nodes (6,350 at peak, 6,452 added, 102 deleted).
% 2.15/2.35 ; Trie-index has 14,640 entries (14,641 at peak, 15,091 added, 451 deleted).
% 2.15/2.35 ; Trie-index has 41,187 nodes (41,190 at peak, 42,222 added, 1,035 deleted).
% 2.15/2.35 ; Retrieved 13,239 generalization terms in 49,884 calls.
% 2.15/2.35 ; Retrieved 9,402 instance terms in 9,262 calls.
% 2.15/2.35 ; Retrieved 1,324,846 unifiable terms in 14,542 calls.
% 2.15/2.35 ;
% 2.15/2.35 ; The agenda of rows to process has 387 entries:
% 2.15/2.35 ; 3 with value 12 7 with value 16 132 with value 21
% 2.15/2.35 ; 1 with value 13 20 with value 18 84 with value 22
% 2.15/2.35 ; 1 with value 14 32 with value 19 26 with value 23
% 2.15/2.35 ; 4 with value 15 72 with value 20 5 with value 24
% 2.15/2.35 ; The agenda of rows to give has 9891 entries:
% 2.15/2.35 ; 1 with value (4 11) 221 with value (4 23) 2 with value (4 34)
% 2.15/2.35 ; 141 with value (4 12) 42 with value (4 24) 2 with value (4 37)
% 2.15/2.35 ; 199 with value (4 13) 8 with value (4 25) 1 with value (4 43)
% 2.15/2.35 ; 381 with value (4 14) 8 with value (4 26) 1 with value (4 44)
% 2.15/2.35 ; 370 with value (4 15) 13 with value (4 27) 1 with value (4 45)
% 2.15/2.35 ; 578 with value (4 16) 8 with value (4 28) 3 with value (4 46)
% 2.15/2.35 ; 980 with value (4 17) 16 with value (4 29) 1 with value (4 49)
% 2.15/2.35 ; 1354 with value (4 18) 10 with value (4 30) 1 with value (4 51)
% 2.15/2.35 ; 1779 with value (4 19) 3 with value (4 31) 1 with value (4 53)
% 2.15/2.35 ; 1812 with value (4 20) 1 with value (4 32) 1 with value (4 59)
% 2.15/2.35 ; 1296 with value (4 21) 2 with value (4 33) 1 with value (4 63)
% 2.15/2.35 ; 653 with value (4 22)
% 2.15/2.35 Evaluation took:
% 2.15/2.35 1.89 seconds of real time
% 2.15/2.35 1.7452 seconds of user run time
% 2.15/2.35 0.144894 seconds of system run time
% 2.15/2.35 [Run times include 0.255 seconds GC run time.]
% 2.15/2.35 0 calls to %EVAL
% 2.15/2.35 0 page faults and
% 2.15/2.35 127,907,208 bytes consed.
% 2.15/2.35 :PROOF-FOUND
% 2.15/2.35 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T18:43:30
% 2.15/2.35 :PROOF-FOUND
% 2.15/2.35 *
%------------------------------------------------------------------------------