TSTP Solution File: SET102-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET102-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 05:07:23 EDT 2022
% Result : Unsatisfiable 5.22s 5.40s
% Output : Refutation 5.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 2 RR)
% Number of literals : 8 ( 1 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 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 : 11 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unordered_pair3,axiom,
( ~ member(X,universal_class)
| member(X,unordered_pair(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
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(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_unordered_pair_member_of_ordered_pair_1,negated_conjecture,
~ member(unordered_pair(x,singleton(y)),ordered_pair(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_member_of_ordered_pair_1) ).
cnf(122,plain,
member(unordered_pair(X,Y),unordered_pair(Z,unordered_pair(X,Y))),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair3,unordered_pairs_in_universal]) ).
cnf(23817,plain,
member(unordered_pair(X,singleton(Y)),ordered_pair(X,Y)),
inference('PARAMODULATE',[status(thm)],[122,ordered_pair,theory(equality)]) ).
cnf(23818,plain,
$false,
inference('REWRITE',[status(thm)],[prove_unordered_pair_member_of_ordered_pair_1,23817]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET102-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n015.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 00:30:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T00:30:07
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-10T00:30:07
% 5.22/5.40
% 5.22/5.40
% 5.22/5.40 #||
% 5.22/5.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.22/5.40 % SZS output start Refutation
% See solution above
% 5.22/5.40 ||#
% 5.22/5.40
% 5.22/5.40 ; Summary of computation:
% 5.22/5.40 ; 46865 formulas have been input or derived (from 511 formulas).
% 5.22/5.40 ; 23818 (51%) were retained. Of these,
% 5.22/5.40 ; 352 ( 1%) were simplified or subsumed later,
% 5.22/5.40 ; 23466 (99%) are still being kept.
% 5.22/5.40 ;
% 5.22/5.40 ; Run time in seconds:
% 5.22/5.40 ; 0.017 0% Read assertion file (1 call)
% 5.22/5.40 ; 0.002 0% Assert (92 calls)
% 5.22/5.40 ; 1.438 29% Process new row (45,162 calls)
% 5.22/5.40 ; 2.029 41% Resolution (1,020 calls)
% 5.22/5.40 ; 0.015 0% Paramodulation (510 calls)
% 5.22/5.40 ; 0.000 0% Factoring (8 calls)
% 5.22/5.40 ; 0.015 0% Condensing (2,206 calls)
% 5.22/5.40 ; 0.201 4% Forward subsumption (2,206 calls)
% 5.22/5.40 ; 0.090 2% Backward subsumption (2,171 calls)
% 5.22/5.40 ; 0.010 0% Clause clause subsumption (8,181 calls)
% 5.22/5.40 ; 0.664 13% Forward simplification (45,156 calls)
% 5.22/5.40 ; 0.269 5% Backward simplification (23,806 calls)
% 5.22/5.40 ; 0.009 0% Ordering (6,294 calls)
% 5.22/5.40 ; 0.000 0% Sortal reasoning (32 calls)
% 5.22/5.40 ; 0.000 0% Purity testing (1 call)
% 5.22/5.40 ; 0.183 4% Other
% 5.22/5.40 ; 4.942 Total
% 5.22/5.40 ; 4.943 Real time
% 5.22/5.40 ;
% 5.22/5.40 ; Term-hash-array has 32,888 terms in all.
% 5.22/5.40 ; Feature-vector-row-index has 2,146 entries (2,146 at peak, 2,171 added, 25 deleted).
% 5.22/5.40 ; Feature-vector-row-index has 9,186 nodes (9,186 at peak, 9,310 added, 124 deleted).
% 5.22/5.40 ; Retrieved 10,638 possibly forward subsuming rows in 2,206 calls.
% 5.22/5.40 ; Retrieved 2,570 possibly backward subsumed rows in 2,171 calls.
% 5.22/5.40 ; Path-index has 32,483 entries (32,484 at peak, 32,940 added, 457 deleted).
% 5.22/5.40 ; Path-index has 8,170 nodes (8,170 at peak, 8,274 added, 104 deleted).
% 5.22/5.40 ; Trie-index has 32,483 entries (32,484 at peak, 32,940 added, 457 deleted).
% 5.22/5.40 ; Trie-index has 91,678 nodes (91,681 at peak, 92,732 added, 1,054 deleted).
% 5.22/5.40 ; Retrieved 31,904 generalization terms in 121,493 calls.
% 5.22/5.40 ; Retrieved 21,773 instance terms in 21,634 calls.
% 5.22/5.40 ; Retrieved 4,417,496 unifiable terms in 29,455 calls.
% 5.22/5.40 ;
% 5.22/5.40 ; The agenda of rows to process has 585 entries:
% 5.22/5.40 ; 1 with value 13 1 with value 18 136 with value 23
% 5.22/5.40 ; 2 with value 14 16 with value 19 214 with value 24
% 5.22/5.40 ; 4 with value 15 16 with value 20 78 with value 25
% 5.22/5.40 ; 4 with value 16 56 with value 21 1 with value 26
% 5.22/5.40 ; 4 with value 17 52 with value 22
% 5.22/5.40 ; The agenda of rows to give has 22975 entries:
% 5.22/5.40 ; 1 with value (4 12) 1438 with value (4 23) 2 with value (4 34)
% 5.22/5.40 ; 306 with value (4 13) 362 with value (4 24) 2 with value (4 37)
% 5.22/5.40 ; 434 with value (4 14) 47 with value (4 25) 1 with value (4 43)
% 5.22/5.40 ; 629 with value (4 15) 13 with value (4 26) 1 with value (4 44)
% 5.22/5.40 ; 883 with value (4 16) 13 with value (4 27) 1 with value (4 45)
% 5.22/5.40 ; 1190 with value (4 17) 10 with value (4 28) 3 with value (4 46)
% 5.22/5.40 ; 2133 with value (4 18) 20 with value (4 29) 1 with value (4 49)
% 5.22/5.40 ; 2683 with value (4 19) 17 with value (4 30) 1 with value (4 51)
% 5.22/5.40 ; 4308 with value (4 20) 4 with value (4 31) 1 with value (4 53)
% 5.22/5.40 ; 4437 with value (4 21) 8 with value (4 32) 1 with value (4 59)
% 5.22/5.40 ; 4022 with value (4 22) 2 with value (4 33) 1 with value (4 63)
% 5.22/5.40 Evaluation took:
% 5.22/5.40 4.945 seconds of real time
% 5.22/5.40 4.607281 seconds of user run time
% 5.22/5.40 0.337878 seconds of system run time
% 5.22/5.40 [Run times include 0.753 seconds GC run time.]
% 5.22/5.40 0 calls to %EVAL
% 5.22/5.40 0 page faults and
% 5.22/5.40 305,109,080 bytes consed.
% 5.22/5.40 :PROOF-FOUND
% 5.22/5.40 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T00:30:12
% 5.22/5.40 :PROOF-FOUND
% 5.22/5.40 *
%------------------------------------------------------------------------------